diff --git "a/data/dm_maths/full_data_1/1545_11255.jsonl" "b/data/dm_maths/full_data_1/1545_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1545_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Rearrange (-3 + 5 + 5 + v)*(v - 4*v + 2*v) to the form o*v + b + p*v**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72735567 - 72735567 - 21034*w**2.\nAnswer: -21034*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 7*u**2 + 4*u + 6. Let m be o(-6). Suppose 4*d - 102 + m = 0. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 15 = 8*g. Suppose l - g*b = -11, -l + 4*b - 23 = 2*l. Let y be (1 - -1)*(-1)\/2. What is the third smallest value in l, y, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2430))\/(-3*sqrt(18)\/sqrt(3)).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 1376*o. Let a(m) = -48*m**2 - 46*m**2 - 47*m**2 + 143*m**2. What is a(h(d))?\nAnswer: 3786752*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 461 - 437. Suppose 882 = p*y + 870. Solve y*r - 13*r = 30 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*1\/(-6)*4)\/((-2674)\/(-108297))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 12:56 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 709621?\nAnswer: 2128863","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3 + (-68)\/5 + 14?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times 35?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3934 divided by -2.\nAnswer: 1967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 29*k**3 + 519*k**2 - 109*k - 995. Determine i(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 417.6704 millilitres in litres?\nAnswer: 0.4176704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19740 and 36848?\nAnswer: 552720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/14)\/(g*g\/(g**4*g)))\/(g*g\/(g\/(g**(1\/2)\/g)))**16 assuming g is positive.\nAnswer: g**(-69\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-7)\/g)\/(g*g\/g**(-2\/29)*g*g)*g**(19\/4)*g*g**(2\/51))**(-1\/3) assuming g is positive.\nAnswer: g**(37151\/17748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21564 and 34490420.\nAnswer: 2396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 795907?\nAnswer: 7, 37, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**5\/15 + r**4\/4 + r**3\/3 - 3*r**2. Factor p(b).\nAnswer: 2*(b + 1)*(2*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 19*c - 81. Suppose 65*i + 379 + 401 = 0. Let k be a(i). Suppose 0 = -3*h + 6. Solve h*s - 5 = -w, -4*s - k*w = -4 - 3 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -u**5\/20 - u**3\/6 + 7*u**2\/2 - 36*u. Give c(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 + o. Let c(a) = 7*a**2 - 3*a - 10. Let v(n) = -c(n) - 4*f(n). Calculate the remainder when 149 is divided by v(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**8\/110880 + w**7\/9240 + w**6\/1980 + w**5\/20 - 3*w**2. Let t(i) be the third derivative of s(i). Solve t(k) = 0 for k.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 o when two letters picked without replacement from {x: 1, z: 2, s: 1, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-488)\/(-4880))\/(((-25)\/(-10))\/((-2)\/(-4)*-3))\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12027)\/633 - (1 - (-456)\/(-22)).\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*q - 10, -4*l + 9 = 3*q - 4*q. Let y = q + 4. Suppose -9 = -y*z + 21. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1080838744.\nAnswer: 2, 2437, 55439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9051 - 9051. Let t(l) be the second derivative of y*l**3 + 21\/20*l**5 + 3*l**2 - 20*l + 0 + 0*l**4. What is the first derivative of t(a) wrt a?\nAnswer: 63*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72 + -59. Calculate the remainder when (1*-2)\/(2\/(-24)) is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-4278912\nAnswer: 4278912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by 13818\nAnswer: 19\/13818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - c - 2)*((-1 - 3 + 3)*(11 - 7 + 7)*(-2 + 3 + 1) - 2 - 3 + 2) in the form s + z*c and give z.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w + 3. Let j(g) = -g**2 - 9*g + 10. Let r be j(-9). Suppose 2*s - 3*t = -0*t + 18, -r = 5*t. Determine n(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*2)\/((-2)\/((-15)\/(-6)*360\/60)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0525862 to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -5*n**2 + 545*n + 524. What is b(110)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 z when two letters picked without replacement from {z: 2, g: 1, e: 2, s: 1, w: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 144550 (base 8) to base 10.\nAnswer: 51560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35574 is divided by 1270.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -4*m**2\/3 - 1680*m - 529200 = 0.\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 22386*g**2 + 294*g - 553. Let l(q) = 605*q**2 + 8*q - 15. Calculate -4*j(o) + 147*l(o).\nAnswer: -609*o**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -227083 and -6021.\nAnswer: -233104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 3:55 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6517, 13131, 19745, 26359, 32973, 39587?\nAnswer: 46201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -156.12 - -156.92. What is the smallest value in u, 1.2, 2, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35a9a - -82?\nAnswer: -35a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40 - 44. Let b be (n\/(-10))\/((-24)\/(-135)) + -2. Is b != -3\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (6 - 3) + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m. Let t(k) = k**2 - 5*k. Suppose 2904 = 18*j + 6*j. Let a = -124 + j. Calculate a*t(h) + 4*v(h).\nAnswer: -3*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*(x**(-1)*x)\/x*x)\/x)**(-23)\/(x**(-1))**22*(((x**(-3\/4)\/x)\/x*x)\/x*(x\/(x*x*(x*x**(-3))\/x))\/x*x)\/(x**1\/x**1) assuming x is positive.\nAnswer: x**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 25692576 to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p. Let m(z) = 15917713*z. Give l(m(f)).\nAnswer: 15917713*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 2*i. Suppose i = 5*w - 6 + 1. Let z(y) = 3*y**2 + y - 1. Is z(w) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 - 2)*(-1 - 4 + 3) - 4 - 1 + 6)*(-7 - 14 + 7)*(-o + o - 5*o)*(-3*o**4 + 2*o**4 + 3*o**3 + 3*o**4 - 2).\nAnswer: 980*o**5 + 1470*o**4 - 980*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 8:57 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 1. Let x = -11381 - -11381. Give a(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100010100110 + -1001001110001?\nAnswer: -100101100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 662839?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4, -5*n + 65 = -3*q - 23. Let f = -1571 - -1656. Calculate the highest common divisor of f and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18481 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 303540 and 33?\nAnswer: 3338940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107766, -107778, -107792, -107808, -107826?\nAnswer: -107846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 9) to base 2\nAnswer: -11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (2 + -2) - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + (-32)\/20 + 4\/(-10) + 4798 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -47 + 626. List the prime factors of v.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34533568 is divided by 249.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -a + 3*a. Suppose q = n + 6*q - a, 2*q = 3*n - 235. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 35 = -3*w. Suppose o - b - 61 = -6*b, -3*o = 4*b - 172. What is the greatest common factor of w and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9887652.\nAnswer: 2, 3, 457, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158 - 177 = -2*t + m, 23 = 2*t + 3*m for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 8*p**2. Let z(s) = 7*s**2 - 12*s + 12. Let w(c) = -2*c**2 + 2*c - 2. Let f(u) = -30*w(u) - 5*z(u). What is l(f(j))?\nAnswer: 5000*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -1\/5 (c) 59\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 18.8. Let c = -3107\/849 + -2\/283. Let g = c - -4. Sort 2, u, g.\nAnswer: u, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.24 * -1.15\nAnswer: 1.426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1651393 is divided by 4857?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -5 (b) 256\/5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 9. Calculate p(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 27*t - 381. Let r be f(15). Solve -k - r = -13*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 7*a + 1. Let u be f(-9). Suppose -u*r + 25*r - 6 = 0. Solve 3 + r = 2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 2*t = 3*t + 11, 5*y - 8 = -4*t for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-25436)\/(-4) - (-1 - 2). Suppose r - i = 11590. Suppose -2*g + 21648 = -r. Round g to the nearest one thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.21 and 14833991.\nAnswer: 14833991.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 - 4)*(-4 - 6 + 2)*(52 + 9*j - 52)*(-4 - 3 + 3).\nAnswer: -2592*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 9 = 2125*b - 2122*b, 0 = -2*b + 2*l - 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -2*s - y + 5*y, -5 = y. Let b = -2\/561 - -313\/374. Find the common denominator of 203\/s + -2 - (6 - 5) and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.7 - -0.2. Let l = -179\/322 - -9\/161. Is l at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 28*l**2 + 10*l - 86. What is q(-28)?\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, a: 13}. Give prob of sequence aa.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5985 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g*(g**(-7)*g)\/g*g))\/(g\/g**1))\/(g**(-2\/3)\/g**7) assuming g is positive.\nAnswer: g**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -3893860 to the nearest ten thousand.\nAnswer: -3890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + -138. Let j = u + 106.77. Round j to 1 dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*y + 10. Suppose x + y = 3*x. Suppose 0*w = -2*w - 4*o + 2, 0 = x*w - 2*o - 4. Solve 3*t = -11 - w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 584 and 90374?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-6*(1*2*sqrt(88))\/(sqrt(24)\/(sqrt(12)\/sqrt(4))) + -4).\nAnswer: -60*sqrt(11) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -341.21 times -106.4\nAnswer: 36304.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**2 + 7*a + 6. Let w be d(3). Let f(k) = k**2 - 8*k - 7. Let c be f(9). Let n be (-2)\/((-1)\/(c\/4)). Put n, w, 2 in decreasing order.\nAnswer: 2, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -144396, -288800, -433204, -577608, -722012, -866416?\n\"Answer: -144404*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -156*x - 9489. What is j(-59)?\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159631, 160606, 161581, 162556, 163531, 164506?\nAnswer: 165481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48860 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -359802, -1439288, -3238462, -5757318, -8995850?\n\"Answer: x**3 - 359850*x**2 + 57*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 401*w**6 - 2522*w**2 wrt w?\nAnswer: 48120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 10. Let i(d) = d**2 - 12*d + 11. Let p be i(h). Does 10 divide p - -3*2*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t - 151 - 20*t + 149 + 0*t. Let l(j) = -j**2. Calculate l(b(p)).\nAnswer: -324*p**2 - 72*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j + 5. Let u(m) = 3*m + 2. Let l(q) = 4*o(q) - 9*u(q). Suppose -3*y - 3*c - 9 = y, c = -3*y - 3. What is the units digit of l(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((u**(2\/5)\/u)\/u)\/u*u*u*u)\/(u**7\/u)*(u*u**(-1\/3))**(-32))**(-45))**(3\/25) assuming u is positive.\nAnswer: u**(3636\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 - h**2 + h\/4 + 3\/2.\nAnswer: (h - 3)*(h - 2)*(h + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.7052572 to 2 dps.\nAnswer: 9.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-294 - 269 + 631)*(-5 + 5 + 9)*(0*m**2 - 2*m**2 + 0*m**2).\nAnswer: -1224*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 11.96.\nAnswer: -11.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1880116?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 5*s = -45, 0 = -73*d + s + 279 + 97 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310109 is divided by 352.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 129274296 and -74.72?\nAnswer: 129274370.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 1:20 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**4 + s**3 + 48*s**2 - 48*s + 22479611.\nAnswer: 4*s**3 + 3*s**2 + 96*s - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14449 (b) 0.2 (c) -2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 114 + (-52 - (70 + -60))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - 8. Let n = -2 + 29. Calculate the remainder when n is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + -49. Let k be t + 6\/(-9)*-6. What is the third smallest value in k, -2\/5, 3, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*m - 8*m - 26. Solve 1 = 3*i + m for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 24 = 3*g, 0 = h - 2*g - 0 - 2. Let t = -4 + h. Let f be (-4)\/(-7)*7\/t. Solve -5*q - f = -7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 5:30 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.158522 to three dps.\nAnswer: -0.159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.061 + 12.561. Let p = 12.5 - h. Suppose -11 = -5*u + 4. Which is the smallest value? (a) u (b) 1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-3 + 2 + -10 + (-9 - -38)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -1. Suppose 0 = -12*u + 16*u - c - 17, -u + 17 = 4*c. Put -3, b, u, -13 in ascending order.\nAnswer: -13, -3, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 214 - 1145*c - 64*c - 214.\nAnswer: -1209*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -972000 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - 4*u**2 - u - 2. Let a be t(4). Let z(g) = -111*g + 122. What is the units digit of z(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, -3, -9 in descending order.\nAnswer: 9, 3, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 43 = 2*k. Suppose -3*s + 15 = 2*s, -4*x - 2*s + k = 0. Is 122\/8 + x\/(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -26 + -3 - -14 - 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 1:26 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*a**4 - a - 2*a**3 + 1 + 5*a**4 + 2*a + 7*a**4 to the form w + o*a**3 + k*a**4 + l*a**2 + q*a and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41? (a) 5 (b) -2\/9 (c) -463\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in -0.14, -223353, 2?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -2*b**3\/3 - b**2\/2 + 5*b. What is x(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j. Let m(g) = -5*g - 405. What is m(v(h))?\nAnswer: -25*h - 405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 c when two letters picked without replacement from qcqjxcq?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 7:12 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 - -37. Let b = s - -14. Let g = b + 31. What is the highest common factor of 35 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1665366 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 340080.\nAnswer: 2, 3, 5, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 9141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 6:16 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24 + 63. What is the remainder when ((23 - -3) + 129)*1 is divided by b?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-130)\/(-25) + -4 + (-288)\/140\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139568004 divided by 4?\nAnswer: -34892001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 12) to base 7\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 12*h + 128 = 0. Let t be h\/(-4) - (-84)\/(-20). Let v = 0.06 + -3.06. Put -2\/13, t, v in increasing order.\nAnswer: v, t, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 3. Let r = -581 + -386. Let j = -966.91 - r. Is d bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1164069569.\nAnswer: 13, 1979, 45247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1972 divided by 493?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 3:58 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7136*q = 3*t + 7137*q - 8, -t = -4*q - 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-4*((-12)\/72)\/(36\/(-8)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/((-1232)\/(-11))*(-3)\/((-6)\/(-1)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*y + 19*y = 35*y + 810 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 - 2134370*x**2 - 23477465*x.\nAnswer: -5*x*(x + 11)*(x + 426863)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**3 + 8*q**2 + 8*q - 5. Let h(i) = 2*i**3 - 5*i**2 - 5*i + 3. Let v be 135\/(-18)*-2 + -10. What is v*j(d) + 8*h(d)?\nAnswer: d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s + 43. Let r be f(13). Suppose -32 = -2*j - 0*j. Suppose 64 = 5*h - h - 5*w, h - w = j. Solve r*g + 0 = -h for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*b**2 - 28127*b + 7033*b + 7030*b + 7034*b + 7030*b.\nAnswer: -41*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 23*z**2 - 107*z + 256. Calculate x(18).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, d: 4, s: 2, j: 5, a: 1}. Give prob of picking 1 l and 3 d.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 + 0.14. Let u = -11 + 14. Let x(o) = o + 1. Let j be x(1). Which is the nearest to s? (a) 5 (b) u (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glgllilil. What is prob of sequence ii?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -17*v - 9. Let d be x(-2). Suppose 5 = 6*r - d. Solve -r*w + 10 = -0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -9*h - 46. Let z(u) be the first derivative of -4*u**2 - 48*u + 5. Let c(t) = -5*y(t) + 6*z(t). What is the first derivative of c(w) wrt w?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16577 - 4134. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 30298.\nAnswer: 90894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/231 - (-124)\/(-21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 3:39 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a - 4. Let r be t(7). Suppose z + 30 = r*z. Solve 0 = 5*u + k - z, -3*u + 0*k + 5*k = -9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 232?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 2*u**2 + 2*u. Let a be o(-2). Let t = a + 8. Solve 0*g - 2*g = -t for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*j - 5*j + 14*j)*(-985 - 265 + 301 - 409) to b + m*j and give m.\nAnswer: 1358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -27*z + z**2 + 8*z + 15*z. Let n be i(2). Let u be (3\/12)\/(n\/(-48)). Solve -2*x - 2 = -2*w, -u*w - 25 = 4*x - 0*w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001093 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = u + u. Let c be 1\/3 + 16\/u. Let l be -1 - (-2 - (0 - 1)). Sort 2, c, l in descending order.\nAnswer: 2, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 99836, 199702, 299596, 399518?\n\"Answer: 14*y**2 + 99824*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 7 - 5 - ((-6 - -5) + -11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/5)\/((-9)\/(-360)*-2). Suppose -y = -3*o - 6*g, -o - g + 14 = 2*o. Solve v + o = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9685 + 1.9685. Which is the closest to 0.1? (a) o (b) -8 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a - 5. Let m(s) = -2*s + 2. Let r(u) = -4*b(u) - 11*m(u). Let n(x) = x**2 - 5*x + 5. Calculate 2*n(q) + 5*r(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3. Find the first derivative of -c**3 - 2 - 2*c**3 + y wrt c.\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 9*s = 2*s - 188, -32*s + 15 - 17 = 3*o + 32 for o.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/1 + (-2)\/(-2). Let z(v) = -16*v + 18. Let j be z(1). Factor 100\/3*m**5 + 4\/3*m + 20\/3*m**f - 13*m**3 + 0 - 4\/3*m**j.\nAnswer: m*(2*m + 1)**2*(5*m - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213*p + 29 - 29.\nAnswer: -213*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxgnnjjjxngnnxggxjxx. What is prob of picking 3 g and 1 x?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c - 5460*c**3 - 2 + 12 + 15 + 5461*c**3 + 14*c**2 + 6. Give y(-14).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -18092797 and -18092797 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h - 10*h = 360 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -5, -0.3, 83.\nAnswer: -5, -0.3, 2\/7, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/(-99) - 65\/90?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 1 + 0 - 57*b + 58*b. Let j(s) = 5. Let t(u) = -j(u) + n(u). Calculate t(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -24 (b) -0.023 (c) -27\/79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 56.4, -4, -5, 5, -3\/2, -3\/8 in decreasing order.\nAnswer: 56.4, 5, -3\/8, -3\/2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 5:23 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (-46 - -6) + 2\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9540 or 9906?\nAnswer: 9906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -8*d**3 + 5*d**2 + 5*d - 2. Let s be f(-4). What are the prime factors of ((-24)\/(-40))\/((-2 - -4)\/s)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 736347727, 1472695455, 2209043183, 2945390911, 3681738639, 4418086367?\nAnswer: 5154434095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 4*b - 4*b. Suppose b*j = -j + 2. Let q be 1*-36*(j + (-24)\/9). What is the greatest common divisor of 16 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3746391323.\nAnswer: 31, 120851333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.09 in -2\/873, -1\/6, 3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 28*d + 1004. Let b be r(-35). Suppose 12 = s + 2*s. Suppose 0 = s*l - 294 - 474. Calculate the highest common divisor of l and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -13*b + 68. Let h be (6\/(-18))\/((-2)\/b). Sort h, 2, 4\/3, -7.\nAnswer: -7, h, 4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6497 (base 12) in base 4?\nAnswer: 2230303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 + 16*z**2 + 40*z + 35. What is d(-13)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (123\/82*(-2)\/1)\/7.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(1573)*-1 + 1)*3 + ((sqrt(1573) - (sqrt(1573) + 2*sqrt(1573)))*-1 + sqrt(1573) - -2*(sqrt(1573) + 0)))**2.\nAnswer: 792*sqrt(13) + 37806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11206 + -11201. Sort -202, i, 0.1 in decreasing order.\nAnswer: i, 0.1, -202","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0342, 2, -9\/4, -7 in decreasing order.\nAnswer: 2, -0.0342, -9\/4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 3 (c) -4 (d) 462\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -96 - -60. Let h = y + 52. Solve -3*z = d - h, 0 = 5*d - 17 - 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f - 6. Let j(n) = 2*n - 6. Suppose -w = 2*w + 15. Let v be j(w). Let z be (v - 0)*(-1)\/2. Give s(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 945 and 580365.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -6 + 8*r + 1 - 2*r**2 + 1. Let i be x(5). Let s = i + 26. Calculate the least common multiple of 22 and s.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81717.\nAnswer: 3, 27239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 59*z - 61*z - 4, 2*y + 6 = -3*z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**5\/23 + 186*b**4\/23 + 234*b**3 - 484946*b**2\/23 - 9178092*b\/23 = 0. What is b?\nAnswer: -43, -18, 0, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 16670.79 decades?\nAnswer: 1667.079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 5e5?\nAnswer: -5e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c9e + 2?\nAnswer: 1ca1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -6*g**3 - 2*g**2 - 1. List the prime factors of y(-2).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, q: 2, j: 5}. Give prob of picking 2 j.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66738 is divided by 33358?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06 - 0. Let x = -1.94 - i. Let v = -3\/4310 - 4301\/12930. Which is the third smallest value? (a) v (b) x (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggggggggggcggg. What is prob of picking 1 g and 1 c?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150916 is divided by 8877.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - 1*sqrt(84))*1 + 6*5*sqrt(84))\/(-4*sqrt(432)*-1*3).\nAnswer: 5*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 4*m**2 - 5*m + 6. Let w be g(-5). Let 2*x**2 - 2*x**2 + 3*x**3 - 3*x**2 - w*x = 0. What is x?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 10 + 329*m - 328*m - 3 - 1. Let f(y) = y + 7. Determine 6*f(g) - 7*o(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3773676 is divided by 297.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8381777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*x + 612 = -1668 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001412 rounded to seven decimal places?\nAnswer: 0.0000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 2*x - 1. Let d be q(2). Let f = -2\/3 + 1\/6. Which is smaller: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -830402*s + 830402*s + 327 - 16*s**3.\nAnswer: -16*s**3 + 327","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12247410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -179\/132 - -1\/44. Suppose -5*r = -g + 30, -5*g = 2*r + 9 - 24. Sort r, k, -2 in increasing order.\nAnswer: r, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 57, 134, 241, 378, 545?\nAnswer: 742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-1)\/1 + 34\/51). Solve 6 = 2*w - 5*w + 3*j, -g*w = 3*j + 18 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 309 = 2*b, 4*b - 315 - 318 = -5*k. Let o = b - 145. What is the remainder when 60 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -72. What is the greatest common factor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2382084*o**2 + 2382084*o**2 + 21*o**3.\nAnswer: 21*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 7*s - 8*s. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**3\/12 - 5*i**2\/8 - 25*i\/2 - 777. Suppose y(d) = 0. What is d?\nAnswer: -5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, t: 5}. Give prob of sequence ttz.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-60)\/5)\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/11 and -8\/3603.\nAnswer: 39633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17138 and 8660542?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -24, -6, 12, 30, 48?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 13*s**3 - 109*s**2 + 5*s + 5. Let n(d) = -6*d**3 + 54*d**2 - 2*d - 2. Calculate 5*n(v) + 2*t(v).\nAnswer: -4*v**3 + 52*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d*(d*d*((d*d**(-4))\/d*d)\/d*d*d*d)\/d)*d*d*d*d**(-2)*d*d**(-5)*d**(4\/7))**(-42) assuming d is positive.\nAnswer: d**186","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w - 37*w + 18*w + 30*w**3 + 9*w.\nAnswer: 30*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 - 46. Solve h = -t - d + 2, t - 8 = -2*d - d for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*h - h**2 + 2*h**2 - 19*h - 1 to s*h**2 + x + k*h and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o + 5. Let i(a) = 625*a + 14. What is -i(h) + 3*z(h)?\nAnswer: -631*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2671 = -4*l - 757, 0 = -3*r + 3*l + 5127. What is the highest common divisor of r and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 - 5*p**2 - p - 2. Let c be o(7). Suppose c*b = 93*b - 16. Solve 0 = 6*a - 2*a - b for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + (6 + 2 - (2 - 0)) - -5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z - z - 3*z)*(-2*z - 6*z + 3*z + z + 0*z - 2*z + (3 - 3 - z)*(3 - 4 - 1) - 3*z + 2*z + 2*z - z + z - z) - 2*z**2 - z**2 + 4*z**2.\nAnswer: 37*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2825, -10991, -24599, -43643, -68117, -98015, -133331, -174059?\n\"Answer: v**3 - 2727*v**2 + 8*v - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -52 + 2?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 802698*v**4 - v**3 - 50*v**2 + 43*v + 234?\nAnswer: 19264752*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**8*q)\/(q\/q**(2\/5)))\/((q*q\/(q\/(q\/(q*q**(1\/7)))))\/((q\/(q\/(q*q**(-1))))\/q))*((q**(-1\/8)\/q)\/((q\/(q\/q**(-7))*q)\/q))**4 assuming q is positive.\nAnswer: q**(2103\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 4 - 4 + 0. Suppose 14 = -2*q + 4*q. Let x(h) = -6*h + 11*h + q*h. Calculate x(b(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/6 + 11\/(-22). Solve 2*p - p + 4*c = 10, i*c = -2*p + 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 7*p**2 + 2*p - 5. Determine g(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*u**4 + 2244*u**2*y**3 - u*y**3 - 2*u*y - 2*y**3 - 2181649*y wrt u.\nAnswer: 420*u**2 + 4488*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76.06825 + 35.0672. Let q = 162 - 121. Let p = v + q. What is p rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80940926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 6*c**2 + 3*c. Let j be d(-6). Let r = j - -18. Suppose 0*s + 2*s + 5*l - 100 = r, -3*s + 112 = -2*l. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -2*n + 5*d, 0*n - 60 = -n + 2*d. Let a = 61 - n. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o - 34. What is b(-9)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*x + 14917 = 16048 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3*(-16)\/36)\/(12\/(-99)). Let j(a) = a + 1. Let f(b) = 13*b + 9. Let h(p) = f(p) + 2*j(p). Let q(z) = 5*z + 4. What is o*q(w) - 4*h(w)?\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57)\/sqrt(3) - sqrt(19))*5)**2 - (sqrt(304) + 0).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -13*o**2 - 21*o + 21*o + 14*o**2 + 2*o**3. Let s(r) = 5*r**3 + 5*r**2 - 2*r - 32. Let q(j) = s(j) - 5*y(j). Find the first derivative of q(v) wrt v.\nAnswer: -15*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5888 times 176?\nAnswer: -1036288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-30))\/(1746\/(-3880)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 23*h - 28. Let c(x) = -2*x**2 - 134*x + 158. What is the least common multiple of c(-68) and i(-9)?\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 - 2519*w + 108 - 137 + 30.\nAnswer: w**2 - 2519*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1686.0011404 - 1686. Round b to five decimal places.\nAnswer: 0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46834310.\nAnswer: 2, 5, 43, 108917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 18 = -2, 0 = 3*f - 4*k - 26 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/4 + 31\/20. Which is the closest to -1? (a) y (b) -14\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-35 + 50 + -3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-290)\/1160*(-20)\/(-11).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17265 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + 0)\/(-1) - (-1 + -10). Suppose v*h - 39 = 15. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, -0.216, 11, 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1028 and 20?\nAnswer: 5140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((-128)\/14 - 32*(-25)\/200)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 17. Suppose 26 + 39 = s*o. Suppose -o = 3*d + d + 5*v, -3*v - 9 = 2*d. Solve 0 = d*x + 5 + 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77933 is divided by 4099.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/8 - 2741*p**2 + 30194349*p\/2 - 777658986.\nAnswer: (p - 10938)**2*(p - 52)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*n + 11, -3*m - 5 = -n - n. Let s be 6\/2 + 0 + -1. Let u = n - s. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence meee when four letters picked without replacement from mmmememmemexm.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(3\/(-2)) - 272\/(-48). Suppose -3*v = 0, -8*k + b*k + 441 = -5*v. Does 31 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**3 + 5*q**2 + 29 - 3*q**2 - 32 to n*q**2 + c*q + i*q**3 + v and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27725 - -4938. Suppose 3*q = 2*b - 24099 - o, -5*q - 28367 = -b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 0*n**2 + 2 - 1\/180*n**6 + 5*n + 1\/72*n**4 + 1\/60*n**5 - 1\/18*n**3. Let p(z) be the first derivative of s(z). Factor p(b).\nAnswer: -b*(b - 2)*(b - 1)*(b + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-7 - -3) - (-117)\/9. Calculate the greatest common divisor of l and 923.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 20*b - 107. Calculate d(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 35\/2*(26\/195 - (-2)\/(-10)). Let q = -37\/20 - -9\/4. Which is the nearest to q? (a) 1 (b) o (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -cf?\nAnswer: -d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -28073\/8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 854 - 3*b**4 + 27000*b**2 + 0*b**3 - 26999*b**2 - 65 + b**4 - b**3 as f*b**2 + u + l*b**4 + n*b + h*b**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 1:07 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 15, j: 4}. Give prob of picking 3 e.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -21201 minus -0.3?\nAnswer: -21200.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1916, 3827, 5740, 7655, 9572?\nAnswer: 11491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0.3, -3609?\nAnswer: -3609","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -10*w + 54. Let j be x(5). Solve -5*l + j = -6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 149*h - 3. Let z(o) = -148*o + 3. Let c(u) = 5*x(u) + 6*z(u). Let w(v) = -v. Calculate w(c(f)).\nAnswer: 143*f - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 4)*(4*m - m - m + (4 + 0 - 2)*(2*m - 2 + 2) - 2 + 2 - 2*m - 9*m + 13*m - 12*m)*(4*m - 8*m + 3*m).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(5) + sqrt(5) + sqrt(80) + -5 + ((sqrt(500) + sqrt(5) - sqrt(5)) + -1)*5.\nAnswer: -12 + 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 PM and 4:06 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 79 and -5.4.\nAnswer: -426.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**2. Let s(p) = -2*p**2 + 46. What is s(g(u))?\nAnswer: -50*u**4 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = 9*f + 13 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 127027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**6\/180 + 11*a**5\/6 + 38*a**4 + 2768*a**3\/9 + 1250*a**2 - 1. Let c(l) = 0. What is l?\nAnswer: -4, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -1. What is the highest common divisor of b and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -6. Let j(d) = 3*d - 8 + y. Let i(p) = -2*p. Determine j(i(r)).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 78 + 3.8\nAnswer: 81.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1630193377?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*m = -20, 4*h - 5*m = 6*h - 19. Let w = 31\/4 - 15\/2. Which is the nearest to h? (a) w (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 0. Let y be (-4)\/10 + (-4)\/(-10). Suppose -s + 6*s = y. What is the smallest value in g, -1, s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -20*t**3 - 3*t - 3. Let m be (-70)\/(-25) + 5\/25. Let d(s) = s**3 - s - 1. What is m*d(a) - u(a)?\nAnswer: 23*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-4 - -3)*-9. What is the highest common factor of 45 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*j = -552, -2*c + c + j + 284 = 0. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 (base 6) in base 2?\nAnswer: 11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 0.3669627?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 4 = -2*q + 5*u, 0 = -3*u + 3 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y\/((y*y*y**(-1)*y*y)\/y)*y)**(-36\/5))**(-9\/7)*(y*y*(y**(-2\/3)\/y*y)\/y)\/y**3*y**(3\/8)\/(((y\/(y**(2\/3)*y*y))\/y)\/y) assuming y is positive.\nAnswer: y**(5569\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7102341*h**2 + 3*h**3 - 7102341*h**2.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g*l**4 - g*l**3*o + 11*g*l*o - 210*g + 5218*l**2*o + l*o wrt l?\nAnswer: -12*g*l**2 - 6*g*l*o + 10436*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 3*y + 3. Let o be z(-3). Suppose -3*t = i + o, 5*t - 3*i + 1 + 4 = 0. Which is the third biggest value? (a) 0 (b) t (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2413 + 4.\nAnswer: -2409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 1:21 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -8*f**2 + 193*f + 6477. Give c(43).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 448.5344 millennia in decades?\nAnswer: 44853.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 10*g - 11. Factor 0 + 3\/2*l**2 + g*l**3 - 1\/2*l.\nAnswer: l*(l + 1)*(4*l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/1 + (-21 + 1)*1. Let d(n) = 21*n**2 + 3*n + 5. Is d(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -7*p**2\/2 + 9*p + 55. Let k be g(0). Solve 7*n = -37 + k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*w + 3*w**3 + 66*w - 380*w + 154*w.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 175641*f**3 - 12*f**2 - 15077*f.\nAnswer: 1053846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207808 + 146 = -26*j. What are the prime factors of j?\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.6 + 0.4. Let g = 1 - 4. Sort g, i, 4 in decreasing order.\nAnswer: 4, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m = 0. Let u be 0 + m - (-6 - 2). Find the second derivative of 3*a**5 + u*a + a**5 - 6*a wrt a.\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8485506 and 0.7.\nAnswer: 5939854.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 165.0000335 + -165. What is g rounded to six dps?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 699*k + 2040 = -11940 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414045 is divided by 227.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -25. Let l = f + -7. Let v(t) = t - 2. Let i be v(3). Solve -i = l*p - 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + -3.9. Let i = -19 - -13. Let k be 30\/54 - (-2)\/i. Sort k, 3, z in increasing order.\nAnswer: z, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 + -1 + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 10:50 AM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 2*h + 3*h - 3*b, -2*h + 22 = 4*b. Let u = -15 + h. Let c be (-3 - u)*26\/6. What is the highest common divisor of c and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*j - 427 = -45*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a day in minutes?\nAnswer: 16920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2\/493 (c) -2\/48379\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m**4 + 1 - 52*m**3 - 6*m**4 + 59*m**3 as j*m**2 + p*m**4 + k + l*m**3 + a*m and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -208, -211, -214, -217?\n\"Answer: -3*q - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -12.1621 and 42965765.\nAnswer: 42965752.8379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 + 1. Let t be g(3). Let q(z) = -8*z + 10. Let c be q(-5). What is the highest common divisor of t and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2. Let x(h) = 3*h - 3*h + h**2 + 7. Let d(u) = -1. Let s = -85 + 99. Let k(n) = s*d(n) + 2*x(n). Give z(k(c)).\nAnswer: -4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*t + 4*t. Let d = t + 22. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 757098.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -313, -468, 147, -5 in decreasing order.\nAnswer: 147, -5, -313, -468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4492 - 2192. Is 2300 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(-1\/6)))\/((j*(j\/j**(-2\/7)*j)\/j)\/j*j)*j**(-19)*(j**(2\/25))**41 assuming j is positive.\nAnswer: j**(-18731\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 165? (a) -0.169 (b) 2\/11 (c) -2\/13 (d) 3\/4 (e) -2 (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 220*w**2 - 938*w - 938. Calculate u(-1).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3606011 (base 8) in base 7?\nAnswer: 11244663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2194269 divided by 1127?\nAnswer: -1947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 501 and 6179?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 10*s - 48. Let p(l) = 7*l - 32. Let w(o) = 7*p(o) - 5*t(o). Let m be w(15). Which is the smallest value? (a) 1\/4 (b) m (c) 5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 6*o**2 + 36*o - 16. Determine i(10).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**4 - 11455*v**3 - 5806075*v**2 - 5794625*v = 0. Calculate v.\nAnswer: -1535, -755, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 463 divide 2382499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 10*o - 11*o - 2, -o - 2*d = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. Suppose 0*c - c = -g. What is the units digit of 1\/c*8\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7, 16, 37, 76, 139?\n\"Answer: g**3 + 2*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*w = 4. Let c(g) = 86737 - 86742 - 2*g - 4*g. What is c(w)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = k - 29, -2*c + k + 151 = 3*c. Suppose 5*m = 8*m - c. What is the least common multiple of m and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17560, 17562, 17564, 17566, 17568, 17570?\n\"Answer: 2*w + 17558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/44208265 and -17\/17683306.\nAnswer: 88416530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(1\/4*6). Suppose 0 = k*p + p - 20. Is (2\/(-6))\/(p\/(-2220)) 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 jmyomoc. What is prob of sequence jo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.61 - 7.51. Which is the fourth biggest value? (a) 0.8 (b) -0.2 (c) -0.4 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 23. Let f(w) = -l + w**2 + 1 - 4 - 18*w + 19*w. List the prime factors of f(-6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1)*i\/i**12)**(3\/5)\/(((i\/(i**(-6)*i))\/(i\/(i\/i**3)))\/(i**(1\/2))**(8\/3)) assuming i is positive.\nAnswer: i**(-106\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-55) - 6\/(-33). Let l(g) = -3*g - 1251. Let c be l(b). Is (-2 - c)\/(2\/2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2909 + -17455\/6. What is the nearest to 17 in 4, q, 2, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-1 + 2 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.24968 + -0.23968. Sort j, 5, 0.14 in decreasing order.\nAnswer: 5, 0.14, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47938 greater than or equal to 1581970\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -14*u**4 + 36*u**3 + 72*u**2 - 33*u. Let l(h) = -3*h**4 + 7*h**3 + 14*h**2 - 6*h. Let b(i) = 11*l(i) - 2*v(i). Factor b(t).\nAnswer: -5*t**2*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*l + 2247 - 531 = 136*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -123\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 * 21\nAnswer: -29.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22220793 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5127 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.3072 and 523.\nAnswer: -1729.6656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 182650 rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p + 3*p - 4*p - 4*p to the form z + s*p and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 4*y - 67 + 3, 2*k + 3*y = 7 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/10823 + -75741\/54115. Which is the fourth biggest value? (a) -1\/4 (b) -4 (c) -1 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 27 = o, 3*t - 4*o + 8*o - 23 = 0. Let z = -1 - -1. Let f(j) = -j**3 - 5*j**2 + j + 3. Let g be f(-5). Put t, g, z in descending order.\nAnswer: t, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/12 (b) 5 (c) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -1\/10 (c) -338.662\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 o when two letters picked without replacement from oyssssssooysoososyo?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15811, -15822, -15835, -15844, -15843, -15826?\n\"Answer: h**3 - 7*h**2 + 3*h - 15808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 27*u**2 + 48*u - 12. Let z(r) = 11*r**2 + 20*r - 5. Let o(v) = 5*c(v) - 12*z(v). Let a(g) = 4426*g. Give o(a(n)).\nAnswer: 58768428*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**4\/24 + 2*m**2. Let q(a) = -9*a - 3. Let d(b) = -q(b) - 5*s(b). What is the derivative of d(y) wrt y?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/3 + 1066*r**2\/3 + 1063*r\/3 - 710.\nAnswer: (r - 1)*(r + 2)*(r + 1065)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o = 5*b + 14, 42*o - 77*o + 38*o - 4*b - 13 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqtimtms. What is prob of picking 1 q and 1 m?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6\/13 (b) 0.5 (c) 2\/7 (d) -5 (e) 22\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**5 - 5*x**4 + 2*x**3 + 28*x**2 + 8*x - 32 = 0.\nAnswer: -4, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of -17*x**3\/6 + 9*x**2\/2 - 3071*x - 1. Let c(p) = -8*p - 2 + 0 + 6. Calculate -4*b(f) + 9*c(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36.7 + 52. Let f = 1.3 - l. Let d = f - -10. Put 2, 0.3, d in descending order.\nAnswer: 2, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 152*a + 5776.\nAnswer: (a + 76)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70.32 - -44.32. Let w = 0 - -4. Is w at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d + 16 = 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vu when two letters picked without replacement from mvromuo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, t: 3}. Give prob of sequence et.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -153 - -153. Suppose -3*j + 22 + 17 = c. Calculate the remainder when 87 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - z**2 + 11*z**2 + 11*z**2 + 8*z + z**2 - 11*z.\nAnswer: 22*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4 + 23900*g**3 + 3594276*g**2 + 182246868*g + 3089176488.\nAnswer: 4*(g + 51)**3*(g + 5822)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 285 - 274. What is the highest common factor of 11 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27.5 - 5.5. Let y = -21.99948 + d. What is y rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2156 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 381\/1819 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 230658322.\nAnswer: 2, 421, 273941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-18)\/1 + (-8 - -10). Let t be (z\/4)\/(-4)*0. Solve u + 0*u = t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 90000.43 weeks?\nAnswer: 54432260064000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a factor of 1149096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 15 - 13. Suppose 2 = a*o - o. Factor -n**o + 3*n - 5*n**2 + 3*n**2.\nAnswer: -3*n*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5221364 or -1\/5?\nAnswer: -5221364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(15\/(-10)) - -1. Let m be (-9)\/(-15)*60\/(-4)*s. Does 11 divide -6*((-102)\/m - (-6)\/18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1104 or 1076?\nAnswer: 1076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289891902.\nAnswer: 2, 3, 48315317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 + 27766270926?\nAnswer: 27766270926.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -3*v**2 - 22*v + 61. Let q be k(-9). Solve -g - q = -5*g - 5*a, 20 = 5*g - 5*a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 2*l**2 - 2*l - 1. Let t = 6 + -4. Let u be p(t). Suppose 0 = k + 3*k + 3*y - u, 3*y - 5 = -k. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1145372 kilograms in tonnes?\nAnswer: 0.0001145372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 7. Let y(n) = 11*n**2 - 9*n + 12. Let b(k) = 5*k**2 - 4*k + 6. Let p(v) = 9*b(v) - 4*y(v). Let c be 3 - 3\/1 - -6. What is c*p(g) + 5*t(g)?\nAnswer: g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1130 + 30321321201?\nAnswer: 30321320011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5\/6, -3, -249123, 4 in increasing order.\nAnswer: -249123, -3, -2, 5\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-105)*1\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**6\/160 + 381*i**5\/80 + 36099*i**4\/32 - 36481*i**3\/8 + 754*i**2. Suppose b(r) = 0. Calculate r.\nAnswer: -191, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -257*z + 15 - 10 + 4 - 8 in the form f*z + s and give f.\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**4\/4 + t**3 - 17*t**2\/2 - 3*t - 3296. Determine l(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1501, -5284, -11595, -20440, -31825, -45756?\nAnswer: -62239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 53 = -49 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1039 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18784*d**3 + 15*d - 37777*d**3 - 15*d + 19633*d**3.\nAnswer: 640*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-31*h + 111*h + 18*h)*(h**2 + 2*h**2 - 2*h**2) - h - 3*h**3 + h + (-2 + 1 + 4)*(-8*h**3 + 20*h**3 + 0*h**3) as k*h + w + f*h**3 + o*h**2 and give f.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -388*u**2 + 659*u - 16. Give t(3).\nAnswer: -1531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 510596, 510645, 510694?\nAnswer: 510743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/28 or -0.03255?\nAnswer: -0.03255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4426 - 1815. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 24, -j + 163 - 541 = -64*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 120471?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*s + 5, -5*s + 4*s = -2*z + 12. What is the second derivative of -2*g + 4*g + 4*g**5 - 2*g**5 - g**z wrt g?\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7752)\/(-44) + 2\/(-11). What are the prime factors of 2\/6 - l\/(-3)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + 2. What is the greatest common factor of 40 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 147 - 109. What is the highest common factor of 304 and j?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8615 times 0.02?\nAnswer: -0.03723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 - -3.3. Which is the smallest value? (a) -0.05 (b) -4 (c) -0.5 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -740.856 rounded to the nearest 10?\nAnswer: -740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h + 3. Let k(c) = -7*c - 3. Give -3*i(q) - 4*k(q).\nAnswer: 7*q + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3737, -7412, -10981, -14444, -17801?\nAnswer: -21052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: Divide 306135137 by -11.\nAnswer: -27830467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + z**2 - 2*z + 6. Determine a(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1202212 (base 4) to base 5\nAnswer: -200220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 e when three letters picked without replacement from reeer?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 7524409.46 to the nearest 100000.\nAnswer: 7500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(1*sqrt(6)))\/(sqrt(576)\/sqrt(6))*-4*1.\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66)*3*-2 - sqrt(66))*6)\/(3*2*sqrt(96)))**2*-2.\nAnswer: -539\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and 609.\nAnswer: -36.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, b: 5, f: 2, q: 3}. What is prob of sequence qf?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000086549059 rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 8942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-608)\/228)\/(2\/16 + 76\/(-96)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -17, 1 in ascending order.\nAnswer: -17, -14, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 80465649 a multiple of 4744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/820 and 73\/60.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, c: 14}. What is prob of sequence ac?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -406*h - 23049. What is c(-56)?\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 + 0*o**2 + 0*o**2)*(21*o**3 - 13*o**3 + 11*o**3) - o**5 - 1 + 1 + (-9*o**2 + o**2 - o**2)*(-2*o**2 + o**2 + 3*o**2)*(-2*o + 2 - 2).\nAnswer: 111*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10162, 10175, 10188?\n\"Answer: 13*a + 10149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2649)\/297 - (-3)\/1. Let r = 15\/11 + w. Let a = -13\/4 - -73\/12. Find the common denominator of a and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -3 (c) 1\/8 (d) 11\/15 (e) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + 5*(sqrt(117) - sqrt(117)*-2*3) + (1*sqrt(117)*2 - (0 + (sqrt(117) - (sqrt(117) + 1 - sqrt(117)))))**2).\nAnswer: -444*sqrt(13) - 492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 110 + 101 = 0 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + (-4 + 65)\/(4\/92) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**5\/3 + 8*s**4\/3 - 8*s**3\/3 - 44*s**2\/3 + 2*s + 12 = 0. Calculate s.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -719120 divided by -808.\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -40*l + 72. Solve 6*d - l*a + 22 = d, -4*d - 4*a - 12 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t - 31. Let j be m(6). Let z be (j - 6)*(-4)\/(-84)*-3. Determine y so that 2\/7*y - 1\/7*y**2 + z*y**4 - 2\/7*y**3 + 0 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1619.02 + 1647.02064. Let m = 0.041 - -27.959. Let y = m - l. What is y rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 695*k**4 + 2*k + 102065*k**3 - 2*k**2 - 102065*k**3 in the form z + j*k**4 + r*k**2 + y*k**3 + p*k and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.010147724699 rounded to 4 dps?\nAnswer: -0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.23 + -127.77. Let y = g + 128. Suppose 5*o + 10 = 3*o. Which is the smallest value? (a) 0.08 (b) o (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {a: 10, p: 10}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-348)\/290)\/((-32)\/20).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5*(sqrt(2299) - sqrt(2299)*-2*-4))**2.\nAnswer: 2816277","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/((-3)\/(-3))*(0 + -1). Suppose -3*p + 2*p = -u*p. Suppose p = -6*z + 11 + 7. Solve -2*w + z*m = 3*w - 24, -9 = -4*w - m for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6336*a + 5837*a + 265*a - 9548*a - 14942*a to f + v*a and give v.\nAnswer: -24724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36 - -1)*(-19)\/95. Solve 3*u - o*u - 8 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -218 - -216. Let v be 2\/6 - (-1)\/(-2). What is the closest to i in 0, v, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 77 = -659. Let g = -48 + 73. Calculate the remainder when w is divided by g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -83, -123?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -24*j - 9. Suppose 5*a + 169 = 44. What are the prime factors of y(a)?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 1878*p - 5637. Determine d(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 112*s - 1405. Calculate t(98).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4696 - 9397 + 4*j + 4701 - j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/8? (a) 28 (b) -2 (c) -1\/13 (d) 1 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 9*q**2 - 4*q + 6. Let p(v) = 2*v**3 + 19*v**2 + 9*v - 13. Calculate 13*o(u) + 6*p(u).\nAnswer: -u**3 - 3*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 3*y**2 + 2. Let p be s(3). Is p\/3*(-90)\/(-4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 11*g**5\/40 - 5*g**4\/24 + g**3\/2 + 13*g. Let j(y) be the second derivative of s(y). Is j(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iililiiiiil. Give prob of sequence ili.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43318)\/(-2178) - 24\/27?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/5 + 3*z**3\/5 + 31*z**2\/5 - 3*z\/5 - 126\/5.\nAnswer: -(z - 7)*(z - 2)*(z + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 84, 168, 254, 342, 432?\n\"Answer: x**2 + 81*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -2 - (-23 - 2 - -51).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6392712, -6392786, -6392862, -6392940?\nAnswer: -6393020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696677 is divided by 719?\nAnswer: 685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -28331.73545 + 0.428?\nAnswer: -28331.30745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -10*w**2 + 3*w + 3. Let g(s) = 29*s**2 - 8*s - 8. Let n be 78\/(-10) + 6\/(-30). Let t(q) = n*h(q) - 3*g(q). Let f(c) = -2*c**2. Calculate f(t(o)).\nAnswer: -98*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 643 + 251. Let p = -8 - -106. Let a = p - y. Is -13\/5 at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/8 + 1\/(-2). Suppose -s = -d*s + 9. Solve 2*g = 3*g + s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/9))**(-10)*b**(-8)*b**8)**(2\/13) assuming b is positive.\nAnswer: b**(-40\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**3 + 91*t**2 - 295*t**2 + 106*t**2 + 98*t**2.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.5 (c) -22 (d) -0.074 (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/23 + 4*62\/(-1472).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 8*h - 13. Give j(5).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -145 + 7691?\nAnswer: 7547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (5 - 3) - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 622730 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 772*w**3 + 3*w**2 + w**2 + 6 - 769*w**3 - 8*w**2 to i + q*w**3 + k*w + r*w**2 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(3)*1 - (sqrt(60)\/sqrt(3) - sqrt(20))*-5)\/((2*sqrt(24)\/sqrt(2))\/sqrt(3)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 36 (base 14) to base 11\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 621 - -2183. Let l = i + -1165. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 45727742 and -4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 11:16 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -697417 less than -697430?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 23. Determine g so that -8*g + 0*g**u + 2*g**3 + 17*g**4 + 5*g**5 - 20*g**2 + 0*g**3 + 4*g**3 = 0.\nAnswer: -2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.068*-0.1.\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 18. Let s be (-2)\/(-8) + 4*u\/16. Suppose -1 = s*o - 21. Calculate the remainder when 29 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2197*w + 13286. What is c(-6)?\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1056212 + -1526212. Round t to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**3\/3 + 1. Let d(o) = o**2 - 2*o**2 - 4*o**2 - 2*o**2. Let q(s) = 6*d(s) + 49*k(s). Let h(b) = 2*b**2. Give q(h(z)).\nAnswer: 28*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 215.867 years in centuries?\nAnswer: 2.15867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -24*u**2 - 26*u - 140. Let w be z(-10). Let x be (5\/w)\/(-1)*-2. Is 0 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5376c5f - 3?\nAnswer: 5376c5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8106102.\nAnswer: 2, 3, 43, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 791441452 to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 - -0.14. Let w = 0.46 + g. Let n = w + -0.08. Which is the third biggest value? (a) n (b) -0.1 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 106032165 (base 7) to base 4\nAnswer: 120231231120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (38\/(-6) - -3)*3*-50?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -3*n - 4, n - 3*z = -2*z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/4*((-30)\/9)\/(-10)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 702360.3ml?\nAnswer: 702.3603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5 = d, 6 = -2*i + 2*d - 2. Suppose -4*j - 3*o = -7*o - 12, 2*j = 5*o. Which is the third biggest value? (a) -2.6 (b) j (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265 + 249 = -4*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -554 - -547. List the prime factors of ((-3)\/(-5))\/((-8328)\/1190 - s).\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11257237 to the power of 1\/2, to the nearest integer?\nAnswer: 3355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1433524423?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**7\/315 + v**6\/90 + v**5\/90 + 4*v**2 + 5*v. Let x(p) be the first derivative of y(p). Factor x(a).\nAnswer: 2*a**2*(a + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + 19 + (-37 - -15).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -616, 8, 1\/8, 0.4, 100?\nAnswer: -616","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 142\/11 or 14?\nAnswer: 142\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.77976 + -0.22024. Does p = 969?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhmhssmhs. What is prob of picking 1 m and 2 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46 and 7.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*m + 0*x - 3*x + 107 = -57*m + x, -x = -5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -68*k + 3487. What is y(49)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 k when four letters picked without replacement from {t: 2, q: 3, k: 1, m: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vyefwof. Give prob of picking 1 v, 1 y, 1 f, and 1 w.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1116 divided by 12?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 1 + 0*j**3 - 6*j - 5*j**2 + 7 - j**2. Let n be o(7). Let c = -12 + n. Sort c, 3, -2 in descending order.\nAnswer: 3, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.3 - 5.4. Let m = a - -1.1. Suppose w - 5*w - 18 = -2*r, 5*w = 2*r - 22. Which is greater: r or m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 5*h - 12, n - 1 = -h + 5. Solve 10*k - 5*k = 3*q + 5, -3*k = -n*q - 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+632\nAnswer: 631.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -1 - (-11 - (-10 + (-6 - 2))) - 64?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -42474 and 8012446.\nAnswer: 7969972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 d when two letters picked without replacement from dztzqzzczzcdzu?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9910?\nAnswer: 2, 5, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 10 = 0, -2*m = -4*p - 4*m + 534. What are the prime factors of p?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (0 - (18 - 18)) - -14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 38\/8 + 11\/44. Suppose -25 = u - 4*b - 84, -y*b = -10. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17863, 70993, 159359, 282955, 441775, 635813?\nAnswer: 865063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j. Let n(q) = 1. Let g(a) = -3*a**2 + 15. Let y(z) = -3*g(z) + 45*n(z). Determine c(y(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 252 divided by 12\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b + b - 2*b)*(b**2 + b**2 - b**2) - 2834*b**3 - 2123 + 2123 as j*b**3 + l + f*b + k*b**2 and give j.\nAnswer: -2832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeezwteveveeewewted. What is prob of picking 2 e, 1 v, and 1 z?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-4 + 1 + 7 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**3 + 60*f**2 - 193*f + 471. Determine s(26).\nAnswer: 861","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 66\/5 + 3\/(-5) and -41\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/215868 and -103\/5900392.\nAnswer: 17701176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 9. Suppose -j = -5*i + 25. Suppose -i*k - 27 = 3*k. Sort 4, 3, k.\nAnswer: k, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/9 + (-2 - -7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + w - 9, 2*w = 2*h - 3*h - 2. Let y be -1*(-6 + -1 + h). Let q(l) = 5*l - 10. Let u be q(y). Solve 4*d = 25 - u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9111 and 4?\nAnswer: 36444","meta":{"dup_signals":{},"source":"numbers__lcm_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: How many minutes are there between 10:53 PM and 5:35 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 84 = 2*n - 238, -3*n - a + 493 = 0. Suppose n - 926 = -19*w. Calculate the remainder when 149 is divided by w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59412, -59415, -59418, -59421, -59424, -59427?\nAnswer: -59430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048.664852 rounded to 1 dp?\nAnswer: 1048.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101690 divided by -5.\nAnswer: -20338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 + -39. Let x = 48 - 18. What is the lowest common multiple of x and m?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/2 and 137\/894?\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -784658*z**2 + 526032*z?\nAnswer: -1569316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11080985 = 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or 0.054?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 - ((-89297)\/1417 - -26).\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n**3 - n**2. Let j be 36\/(-54)*(0 - (-9)\/6). What is i(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1018983*w**2 - 1466402*w**2 + 426990*w**2.\nAnswer: -2058395*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**3 + 8372180*j**2 + 33488660*j + 33488640 = 0. What is j?\nAnswer: -1674432, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.00485l in millilitres?\nAnswer: 17004.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycc when three letters picked without replacement from cocy?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154355040.\nAnswer: 2, 3, 5, 7, 15313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -47*f**6\/60 - f**5 - 89*f**2 - 198*f. Let c(n) be the first derivative of h(n). What is the third derivative of c(x) wrt x?\nAnswer: -564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 5*j**2 + 2*j**2. Let s = -14 - -16. Let w(d) = 13*d**2 - d**2 - 4*d**2 - 7*d**s. Give w(z(i)).\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f - 12. Let g be m(8). Suppose g*j = 2*j + 40. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 6:49 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1640 - 1608. Suppose 3*x = -2*q + 16, -4*x = 4*q - z + 4. Determine p, given that 15\/8*p**3 - 3\/2*p**4 + 3\/8*p**5 + 0*p - 3\/4*p**x + 0 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 - -0.44. Let i = 0.04 + x. Let l = 2798.7 - 2786.7. What is the smallest value in i, 1\/2, l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 8*b**2 - 1. Let r be w(-2). Let y = -3 + r. Let g = y - 18. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420*u - 144*u = 8280 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 35 = 20. What is the highest common divisor of 33 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of c**3\/3 + 5*c**2 - 66*c - 1. Suppose 3*h - 5*h = -6. Let k(p) = h + 3 - 7. Give -10*k(n) - s(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -0.62677, 1\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*q - 5*q + 6974, 4*q = 2*o - 13964. Let j = -69871\/10 + o. What is the common denominator of j and -117\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k - 14*k**2 + 192*k - 6*k**2.\nAnswer: -20*k**2 + 178*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -170487615 times 2?\nAnswer: -340975230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 481842166?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 15\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 434352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/10 + 54\/(-30))\/((-16)\/(-24)). Sort 5, 3, m, -6, 16 in ascending order.\nAnswer: -6, m, 3, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5 = -0. Let x(n) = n + 1. Let i(m) = -m**2 - 13*m - 11. Let u be i(-12). Let z = 5 - u. Let c(q) = -5*q - 4. Calculate k*c(v) + z*x(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 7*t**2 - 4 + t + 7*t**2 in the form w*t + b + s*t**2 and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -15520*f - 77542. What is w(-5)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**(1\/4))\/n*n**(2\/13))\/(n**(-1\/3))**(-19)*(n**(2\/7)*n**(3\/5))\/(n**(1\/6)\/(n\/((n*(n*n**(-2))\/n)\/n))) assuming n is positive.\nAnswer: n**(-3113\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(4\/((-20)\/15)). Suppose j = b + 347 - 841. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 13*a**2 - 8*a - 17. Let r be s(12). Suppose 2*g + 5*w - r = 0, 2*w - 3 - 4 = g. Solve -g*t + 10 = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 13*i + 326. Give j(-2).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*l + 26*l - 40*l + 4 + 11*l.\nAnswer: 13*l + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2894\/25125 or 0?\nAnswer: -2894\/25125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 27544204.92 to the nearest one hundred.\nAnswer: 27544200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*o - 48 = -22*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i - 2. Let h(b) = -630*b - 27. Calculate u(h(p)).\nAnswer: -1260*p - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2060*p**3 + 3 - 3 + 7576*p**3.\nAnswer: 9636*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-112)\/20)\/4)\/(40360\/4200 - (-551)\/(-57))?\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 a when two letters picked without replacement from {g: 5, a: 15}.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 - -72. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 39 and 70623?\nAnswer: 918099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 408.2 * 65\nAnswer: 26533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1598011.\nAnswer: 1598011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 589?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 679 + -0.2.\nAnswer: 678.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000082446893 rounded to 7 dps?\nAnswer: -0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 + -0.2. Let a = 0.35 + -0.4. Let i = 0.246 - -0.754. What is the closest to i in -3, a, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*b = -42, 3*p - 2*p + 18 = 3*b. Let n = p + 15. Differentiate -n + 4 - 4*f**3 + 5 with respect to f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04341 rounded to 3 dps?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/37140 and 39\/142?\nAnswer: 2636940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -20*m**3 - m**2 - 3*m - 2. Let i be l(-1). Suppose 21*u - 677 = i*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*h + 12*h - 156. Suppose 6 = 2*y + 4*g, 4*y - 77 + 17 = 4*g. What is the lowest common multiple of h and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 42606 = 5*j, 14 - 2 = 2*j. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*z**3 + 344*z**2 - 344*z**2.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 62154331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -342 (base 5) to base 3.\nAnswer: -10121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -8) + (-22 + (20 - -20) + -9 - -22)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 463 = -1135. What is the greatest common divisor of 36 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238935 is divided by 79630?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 7893.\nAnswer: 15786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 17. Suppose -3*u - 8 = -i, 0 = 4*i - i + x*u. Calculate the least common multiple of 4 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 0) + (-3)\/(-36)*-58. Let f = -455 - -460. Put -4, d, f in decreasing order.\nAnswer: f, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152857793?\nAnswer: 11, 19, 23, 31799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2805 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-12)*-1)\/1\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.1, -4.06, -2\/7, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 452 and 66333034.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2143415 (base 6) to base 14\nAnswer: -2b043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 495 divided by 1?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.66 times 0.5?\nAnswer: -0.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/3*(-751500)\/(-9). What is x rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142516163, -285032323, -427548483, -570064643?\nAnswer: -712580803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9ec572 - -9?\nAnswer: 9ec57b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1285 - -2349. Does 38 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 5*y - y + 53, 5*v - 50 = -y. Calculate the highest common divisor of 33 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/33, 67\/4, -0.1, 0.1 in descending order.\nAnswer: 67\/4, 0.1, 2\/33, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((1*1*sqrt(187))\/(sqrt(11)*-2*5)*1*-3)**2 + 3.\nAnswer: 853\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17052 = -345*t - 39*t + 5916 for t.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 AM and 1:00 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**2 - 28*i**2 - 12*i**2 + 45*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27090891.\nAnswer: 3, 829, 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 38 = 2*t. Let p = 1 - -4. Suppose -2*a = -p*a + 21. What is the remainder when t is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00102338138 to 5 decimal places.\nAnswer: 0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: -5 + 2 + -6 + 14\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 2*k**2 + k + 2. Let c be r(2). Sort c, -2, -7 in ascending order.\nAnswer: -7, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103 = -89*v + 417*v - 1415 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**3\/3 + 107*y**2\/3 + 9854*y\/3 - 3320 = 0.\nAnswer: -60, 1, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q - 2*q - 3*q)*(-52*q**2 - q - 2*q + 45*q**2 + 1 - 1 + q**2 + (0 + 0 + 2*q)*(4*q - q - 4*q)) to y*q + h*q**3 + b*q**2 + v and give h.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -649*b**3 + 84*b**3 - 579*b**3 + 39*b**3.\nAnswer: -1105*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*p**2\/21 + 400*p\/21 + 1250\/21.\nAnswer: 2*(4*p + 25)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -10*n**3 - 54*n**2 - 39*n - 33. Let q be t(-15). What is the highest common factor of q and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 1:45 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -128*r**2 - 24*r**2 + r**2 as u*r**2 + t + g*r and give u.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -2*j**7\/105 + j**6\/15 + 7*j**5\/15 + 2*j**4\/3 - 4*j**2 - 30. Factor l(n).\nAnswer: -4*n*(n - 4)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1204.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26674, -26301, -25932, -25567, -25206, -24849?\nAnswer: -24496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from teee.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 6 + (-2 - 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - 1 - 144\/(-1). Calculate the highest common divisor of 21 and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-2))\/(-3)*3. Let u(l) = l - 1. Let i be u(r). Let f(k) = -k + k + i*k. Let y(v) = -3*v. What is f(y(o))?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*w, 0 = 3*v + 5*w - 9 - 17. What is the greatest common divisor of v and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1942 - -8?\nAnswer: -1935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2*z**(1\/10))\/(z**(7\/3)\/z**(-3\/2)) assuming z is positive.\nAnswer: z**(-26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -q**4\/6 + q**3\/2 - 9*q + 2. Determine x(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**4\/7 - 5*v**3 - 249*v**2\/7 - 365*v\/7 + 650\/7 = 0. What is v?\nAnswer: -26, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499331167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -856, -4, -1, -179, -26 in ascending order.\nAnswer: -856, -179, -26, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 3*p + 2. Let y(x) be the third derivative of x**5\/20 - 13*x**4\/24 - 3*x**3\/2 + 297*x**2. Give -26*t(v) - 6*y(v).\nAnswer: 8*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10707 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: Calculate 70 - -1 - (216 - 181).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wllwlwwwwllwlwwwlwll. Give prob of sequence lll.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 189831287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 5:45 PM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6600)\/6750 + (-1)\/(-15)*-2\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 2*s**2 - s + 1. Let y be u(-2). Suppose -8*o + 100 = -y*o. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000119276577 to six decimal places.\nAnswer: -0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 410678?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2834285697 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 1 = 7*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -9*h**2 - 1. Let z(o) = 2*o + 4. Let p(s) = 20 - 7 - 7 - 5. Let f(l) = -4*p(l) + z(l). Give f(x(d)).\nAnswer: -18*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 116 - 116. What is the closest to -1\/3 in 0.5, -4, f, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -260822, -521646, -782484, -1043342, -1304226, -1565142?\nAnswer: -1826096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20601 - 715758 = -8696*q + 183139 for q.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 186106133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28329\/(-497))\/((-6)\/2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*j**2*u**2 + 217080*j**2 - 15100769*u**2 wrt j.\nAnswer: -90*j*u**2 + 434160*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -77.3336 rounded to the nearest integer?\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - (1 + (6 - 13))) + -3 + 57?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -62908 divided by 31454?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 10*c - 116701, 37*x - 38891 = 36*x + c. What are the prime factors of x?\nAnswer: 37, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -830*u + 868*u + 883998 - 10455818 = 0. What is u rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 904 + -903.8. Let u = 20 + -19.55. Let y = 0.05 - u. Put y, d, 0.1 in ascending order.\nAnswer: y, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7\/11 - -3\/22. Which is the nearest to 0? (a) 2 (b) -4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 364 and 497.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w - 51 + 21*w + 45 - 12*w. What is g(-5)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 74?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12 - 6) + (-6)\/2. Let p be 3 + 202\/(-66) - (-5075)\/4785. Solve v = 4*r - p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18101 - 1822?\nAnswer: -21023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-9)*111\/(-37)*8.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 5. Let g(v) = 3*v + 4 + 1576*v**3 - v**2 - 581*v**3 + 17523*v**3. Let h be g(f). Round h to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 31 = 5*q + 2*q, 158*y - 3 = 159*y + 3*q for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 3*a = 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 3*g**5 + 4*g**4 - 59*g**3\/3 - 46*g**2 - 100*g\/3 - 8 = 0.\nAnswer: -2, -1, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6779\/7 - 969. What is the second smallest value in -4\/37, -5, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -91 - -89 - (4 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -63125, -126239, -189323, -252365, -315353?\n\"Answer: 2*t**3 + 3*t**2 - 63137*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 2:17 PM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 10*w**2. Let x be l(-10). Suppose x*q = 2*q - 6. Suppose 0 = q*c + c - 56. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 5:36 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 675 + -225. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l**2 - 21*l - 1. Let f(a) = 2*a**2 + 12*a + 1. Let p(w) = -10*f(w) - 6*u(w). Let i(c) = 2*c**2 + 3*c - 2. Calculate 5*i(h) - 2*p(h).\nAnswer: 2*h**2 + 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pbybv. What is prob of picking 2 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h + 5 + h + 2*h. Let r be k(-8). Let q = -47\/91 + 3\/13. Sort r, -5\/3, q.\nAnswer: r, -5\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 722551 is divided by 54?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6*(-127 - (-48 + 2))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*q + 1069 - 412 = 0. Let w be 2\/(-2)*q*(-9)\/(-27). Solve -2 = w*k - 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.0710904 centuries?\nAnswer: 0.710904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6238 - 6232. Which is greater: t or 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v**2. Let n(t) be the third derivative of t**5\/12 - 25*t**2. Calculate z(n(a)).\nAnswer: -125*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 57*r**2 + 311*r - 72. What is x(62)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 17*c**2 - 17*c + 24. What is w(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23 + 1 - 20)*((2 - 1 + 0)*(0 + 2 - 4) + (-6 + 4 + 3)*(5 + 21 - 2))*(3 - 3 + 2*i) to the form s*i + m and give s.\nAnswer: -1848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**(-1\/24)))\/o)\/(o*((o\/((((o**(-1\/10)*o*o)\/o)\/o*o)\/o))\/o)\/o) assuming o is positive.\nAnswer: o**(-137\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 401 + -382. Calculate the remainder when 359 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001239844177 to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -243077*s**3 + 1067480*s**2?\nAnswer: -1458462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.38 and -3613.\nAnswer: -1372.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i - 18. Let v be l(-11). Let s = 8 - -23. Let d = -19 + s. Solve 0 = v*u - 0*u - d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(24*c - 14*c - 11*c + 3).\nAnswer: -c + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + 1751*g - 529675. What is b(263)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 11) to base 4.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7423 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -1221441.\nAnswer: -2\/1221441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14440 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55031 = -5*o - 4*x, -10*o + 33051 = -7*o - 3*x. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1918541078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 32296160 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 5:21 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*j = -160*j + 36 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of 0 + 0*a**4 - 35*a**2 + 0*a + 2\/15*a**5 + 0*a**3. Let u(y) = -y**2. What is u(w(l))?\nAnswer: -64*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -x + 4*x + 5*v, 18 = 2*x - 2*v. Let c be (-3)\/9 + 2\/x. Let s = 19 - 3. Solve -2*k - 4*g + 5*g + 8 = c, 4*k - 4*g - s = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.3 (b) 3 (c) -20\/71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n*p**6 - n*p**4 + 3557*n*p**3 + 130884*n*p**2 wrt p.\nAnswer: -240*n*p**3 - 24*n*p + 21342*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 399\/12 + (-2 - -3). Let t = 35 - i. Let w = 1.01 + -4.01. What is the second smallest value in w, -4, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 5*g = 0, 0 = -3*f + 4*g + g + 40 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + -96128?\nAnswer: -96134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from duiiddidduii. Give prob of sequence uud.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v - 8. Let o be i(-5). Let g be (22\/(-7) - o)*2. Let f = -19 + 18.9. Which is the third smallest value? (a) g (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.516 times -0.04\nAnswer: 0.30064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x - 1. Let k be p(-3). Suppose 2*d - 3*f = 446, 0 = 5*f + 5 + 5. Suppose 3*v + 10 = -k*v, 5*v = -5*c + d. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.7 - -2.3. Let q = -9.7 + p. Let r = 1 + q. Which is the second smallest value? (a) r (b) -0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 + 4*p**2 - 6*p**2 + (-5 + 1 + 2)*(p**2 + p**2 + 0*p**2) + (-184 + 184 - 4*p)*(3*p + 3*p - 5*p).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67 + 38 + 6)*(4 + 1 - 4)*(g + 0*g + 0*g).\nAnswer: 111*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2. Let q(j) = -1160*j**2 - 80*j - 80. Let s(x) = -43*x**2 - 3*x - 3. Let r(v) = 3*q(v) - 80*s(v). Determine p(r(o)).\nAnswer: 1600*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from embtb. What is prob of picking 1 t, 1 b, 1 m, and 1 e?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + -1*sqrt(125) - (sqrt(125) + 2*(sqrt(125) + 0)))*1)**2.\nAnswer: 160*sqrt(5) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a**2 + 17 + 0*a**2 + 7*a + 4*a**2. Does 23 divide h(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*n - 862 + 1394 = -956 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1906, -8846, -20422, -36640, -57506?\n\"Answer: -b**3 - 2312*b**2 + 3*b + 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*c + p, 3*c - 2*p = 4*c + 2. Suppose -199*n - 35 = -206*n. Let z(u) = 7*u + 16. Let x(q) = 4*q + 8. Let y(b) = n*x(b) - 3*z(b). Determine y(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 28*i - 1. Let x be s(2). Suppose 6*w - 137 = x. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6*20\/480)\/((-4)\/((-2432)\/4))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 17 - (-5 + 5). Suppose v*r - 10 = 10*r. What is the third derivative of -r*w**2 + 3*w**2 - 2*w**2 - 8*w**4 wrt w?\nAnswer: -192*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 12:46 AM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - c + 7 = 0, t - 2*c + 726 = 734 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 94680 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/(340\/25))\/((-45)\/4*-3).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(-5)\/40*-4. Let i = 5 - 10. Let r = i - -10. Solve -y*u + r*s + 22 = 0, u + 2*s + 6 = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**4*z - 17*s**4 + 3*s**2*z + 3*s*z + s + 9*z wrt s.\nAnswer: 24*s**2*z - 204*s**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(385))\/sqrt(11) + sqrt(35) - (-3*sqrt(35) - sqrt(35))*4)\/((sqrt(720)*-5)\/(2*sqrt(1089))).\nAnswer: -231*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 0.5, 0.4, -10, -2\/19?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94*h - 409*h - 1235*h + 2 - 37*h to o*h + z and give o.\nAnswer: -1775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**2*u - 98660522*t**2 + 2*t*u + 38*t - 18*u - 1524 wrt t?\nAnswer: -4*u - 197321044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 73361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 13*c. Suppose 4*r + 17 = 5*b, 2 = 4*r - b - 1. Let d(p) = 1324 - r*p - 1324. Give i(d(k)).\nAnswer: -26*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -24*q + 472. Calculate y(13).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/44 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -145.3 + 166. What is x rounded to 0 decimal places?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(192) - (sqrt(192)*1*-3 + sqrt(192))))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/8 - (-2)\/4. Suppose 3*p - 18 = 3*s, -2*s - 2*p - 5 - 7 = l. Let t(z) = z**2 + 4*z - 7. Calculate t(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 254*a**2 + 5775*a + 131. What is u(-275)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*3*(-168)\/9. Calculate the greatest common divisor of n and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36)\/27*3\/7. Is -2 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, q: 7}. What is prob of sequence ooqq?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*m + 6*u - 2*u, -3*u = -3*m + 15. Solve m = 2*v + 3*r, 1 = 3*v - 4*v - 2*r for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -354.4 + 354.8. Put c, -1\/8, -169, -0.2 in descending order.\nAnswer: c, -1\/8, -0.2, -169","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t + 2. Let v be m(-1). Suppose -v*z + 3 = 51. Sort 3, z, -2 in descending order.\nAnswer: 3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -19615*n + 19620*n - 5*z, 3*n = 2*z - 7*z - 28 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6427595891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 102130 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**2*s**3 + 5*p**2*s**2*z**2 - 5*p**2*s**2*z + p**2*s**2 - 2*p*s**2 - 2*s**4*z - 6*s**3*z**2 wrt s.\nAnswer: -12*p**2 - 48*s*z - 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7845618*a**3*v**2 - 135*a**3*v - 2*a**3 + 3*a**2*v**5 - a**2*v + 176*a**2 - 14*a*v - 1 wrt v.\nAnswer: 15691236*a**3 + 60*a**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 532 + -532.1. What is the nearest to r in 1, 0.4, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3415536129.\nAnswer: 3, 15739, 72337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -21*t - 145. Let y be i(-11). Calculate the highest common divisor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 285458790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -47839, -191199, -430135, -764647, -1194735?\n\"Answer: -47788*y**2 + 4*y - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 0. Suppose 5*d + 290 = 4*d. Let o = d + 294. What is the third biggest value in 0, o, 0.3, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (23 + -19)*(-458)\/(-8). Let h be (-3088)\/(-36) - 2\/(-9). Suppose -k = -3*y + h. Calculate the greatest common divisor of 15 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -92467, -92427, -92359, -92263, -92139, -91987, -91807?\n\"Answer: 14*z**2 - 2*z - 92479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -2 + sqrt(171))*1 - (1 + sqrt(171) + -1).\nAnswer: -2 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*x = 25, -4*x = -j - 2*x + 10. Suppose j = 3*p - 10*p. Is (p - -2)\/(18\/1179) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*f**2 + 52*f**2 - 102*f**2 + 20167*f**3.\nAnswer: 20167*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000121237 to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -183\/4 or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 4*n + 96, -4*n + 264 + 64 = 3*d. List the prime factors of d.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-743 - -688)\/(10\/(-4))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 equal to 1100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -100010 (base 2) in base 12?\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 - 46*m + 1. Let c(o) = -o**2 + 22*o - 1. Let a(h) = 9*c(h) + 4*j(h). Factor a(w).\nAnswer: (w + 5)*(3*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 800 - 555. Let x be 7*(-3)\/6*-10. What is the highest common divisor of x and b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/10 of a second?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 60237682490.\nAnswer: -60237682490.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4072 + 47717. Does 183 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6662 and 3530720098.\nAnswer: 6662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 179665844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101479751 is divided by 36675?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ada when three letters picked without replacement from {c: 4, a: 3, l: 2, j: 1, d: 3, u: 3}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 k when two letters picked without replacement from kttv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 66*n - 78 - 54 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k**2 - 13*k + 4. Let d be b(6). Suppose -3*j = 5*l - d, -2*l + 0 = -10. Suppose j*a + a = 604. List the prime factors of a.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09 to three dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0580228nm to micrometers.\nAnswer: 0.0000580228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -905302 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**3 - 375*g**2 - 10362*g - 82080 = 0. What is g?\nAnswer: -90, -19, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g + 8. Let n(o) = 2*o - 7 - 8*o - 8 - 1. Let j(q) = -9*f(q) - 4*n(q). What is the derivative of j(a) wrt a?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that r**2\/4 + 643*r\/4 - 161 = 0.\nAnswer: -644, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 6 = -4*r, -5*s + 129 = -4*r + 103. What is the smallest common multiple of s and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42.49 and 25789?\nAnswer: 1095774.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 340 + 27?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 19*s - 18*s, 2*a - 5*s + 26 = 0. Let q(l) = l**3 + 4*l**2 + l + 3. Give q(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -240*i**3 - 14*i**2 + 43*i - 23*i + 14*i**2 - 25*i in the form r*i**2 + o + m*i + s*i**3 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 <= -161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 432 + -543402?\nAnswer: -542530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 26*y**2 - 12*y - 160. Calculate q(-5).\nAnswer: 550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(99)\/(2*sqrt(9)) + sqrt(11) - sqrt(11)).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t**2 + t**2 + 6*t**2 + (0 - 2 + 0)*(-5 + 5 - 2*t**2) + (-2 + 2 - 2*t)*(2*t + 4*t - 7*t).\nAnswer: 13*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 5. Let d = 2 + k. Suppose -5 = -d*f + 4. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1040421 and 1040424 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 2:23 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y. Suppose 2*m + 4*s = -114, -2*m - 114 - 27 = -5*s. Let f be ((-21)\/m)\/((-2)\/(-12)). Let n(t) = 19*t - 19*t - 4*t**f. What is o(n(q))?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(52) + 2 + sqrt(13) - sqrt(13)) + -3 + (1*sqrt(130))\/sqrt(10) + (5*-3*sqrt(143))\/((sqrt(110)*2 + sqrt(110))\/sqrt(10)))**2.\nAnswer: -12*sqrt(13) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -255 - -268. What is the remainder when 128 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 9*h. Suppose 91*w - 86*w + 25 = x, 4*x - 10 = 2*w. Let m(r) be the second derivative of 0 - 1\/6*r**3 + 8*r + x*r**2. Determine k(m(d)).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i - 1. Let g(w) = 5*w - 1. Calculate -4*g(b) + 3*z(b).\nAnswer: -8*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6184, -12365, -18542, -24715, -30884?\nAnswer: -37049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -6*j**4\/11 + 288*j**3\/11 + 2646*j**2\/11 + 2352*j\/11 = 0?\nAnswer: -7, -1, 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 7505640.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1050 - -41141?\nAnswer: 40061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1853324 divided by 463331?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 417 = 3*g, 0 = 13*g - 16*g + 4*l + 445. What is the remainder when 173 is divided by g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 100, 224, 348, 472, 596, 720?\n\"Answer: 124*l - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-2*z**2 + 5*z**2 - 2*z**2) + 0*z**2 - 5*z**2 - 2*z**2.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.2 - -0.2. What is the smallest value in -0.1, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-3) - (-39)\/(-9). Let y be 1 + -1*(1 - -1). Let t be 3 - (y - (-6)\/2). Put 2, m, t in descending order.\nAnswer: 2, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 7, g: 1, a: 3, x: 1}. Give prob of sequence ap.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1198884 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 207781293.1 and 258?\nAnswer: 207781035.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47159 + 47162. Factor 0*c + 3\/7*c**5 + 0 - 3\/7*c**q + 3\/7*c**2 - 3\/7*c**4.\nAnswer: 3*c**2*(c - 1)**2*(c + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -9*l**2 + l + 6. Let t be n(0). Let i(y) be the second derivative of t*y - 3\/2*y**2 + 1\/6*y**3 + 1\/12*y**4 + 0. Calculate i(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -265581 at most as big as -265582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8798 take away -33?\nAnswer: -8765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, n: 1, m: 1, z: 3, h: 4, b: 4}. What is prob of picking 1 b and 1 z?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 18 + 2 = 0. Let h(f) = -21*f - 18. Let q(b) = -6*b - 5. Let c(g) = 5*h(g) - 18*q(g). What is the units digit of c(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -17?\nAnswer: 8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*m**3 + 27 - 7 + 36*m**3 - 5 as g + x*m + z*m**2 + b*m**3 and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 532412 by -16.\nAnswer: -133103\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 3. Let b be 4\/8 - (-38)\/76. Sort v, 2, b, -5 in decreasing order.\nAnswer: 2, b, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 - 27 + 4)*(1 - 2*n + 1 + 5*n) to t*n + k and give t.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*g + 81687 - 255487. What are the prime factors of g?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 74*j - 40 = 78*j, -7*j = 3*a + 90 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 11.9. Let u = -19 - -77\/4. What is the nearest to k in 5, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*y + 12 = 0, h - 3*y - 15 = 2*y. Suppose n + 11 = 3*z, -5*z + 0*n - 5*n - 15 = h. Solve -11 = -5*d - z*p, -d + 7 = 4*d + 4*p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 5*x + 8 - 28 = x, -15*g = 3*x - 33 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (468 - 69)*216\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**3 + 30*v**2 + v - 7. Let d be t(10). Suppose z - 3*p = 22, 26 = d*z + p - 2*p. Calculate the remainder when z is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 13) in base 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llq when three letters picked without replacement from ifufukukkqlluk?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8859 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - q - 7, -5*n = -32*q + 36*q - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 17536398.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 13) to base 11\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 + (-9 - 1) + (36 - 35).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -14244*s + 256460. Calculate g(18).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1 + sqrt(5) + 1 + -6*(sqrt(5) - sqrt(5)*2))**2 - (sqrt(45) + (sqrt(45) - sqrt(180)*4) + sqrt(45))\/sqrt(9)).\nAnswer: -980 - 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**3 + 30*x**2 - 7*x + 9. Let a(i) = i**3 + i**2 + 7*i + 2. Let f(t) = -3*a(t) + r(t). Give f(-28).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -41. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from odkoodddkgdodro?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*c + 31, -c + 0*c + 13 = q. Suppose 2*j = 1 + 13. Suppose 3*w = j*w - 12. Solve 0*z = w*z - c for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 4009250254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*g**2 - 7*b*g + 609*g**2 with respect to b.\nAnswer: -2*g**2 - 7*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24501598259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 80*t + 159. What is q(-10)?\nAnswer: -641","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*1\/(-3))\/((1089\/27)\/(-11)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - -165 - (84 + -13)) + (0 + -13 - -2)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4*1*(sqrt(21)\/sqrt(75)*1 + 5)*-5.\nAnswer: 4*sqrt(7) + 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 13*o**4\/6 + o**3\/2 + 2*o**2. Let i be h(3). Suppose 5*u - i = -4. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26103 + -14492. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/5))**(-7)\/(a**(-5\/7)*a*a*a**(-10\/9)) assuming a is positive.\nAnswer: a**(1268\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**2\/7 + 408*k\/7 + 10404\/7 = 0?\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2641\/4426 - -601811785\/19917. Let i = p + -30223. What is the common denominator of 89\/4 and i?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 20*w**4 + 5*w**4 + 8*w**4 - 2*w - 2 + w**3 - 3 - 11*w**2 to r*w**4 + s*w + t + d*w**2 + g*w**3 and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 2*r**2 - 2*r**2)*(16*r - 5*r**2 - 16*r) - 5 + 2*r**4 + 5 + 214 - 14*r**4 - 214.\nAnswer: -7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2db3b83 - 4?\nAnswer: 2db3b7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - r**2 - 1. Suppose 5*b = 7*b - 6. Let h(c) = -6*c - 5. Let l be h(b). Let k = 25 + l. What is y(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.26, -4\/3, -36, -3, 1.\nAnswer: -36, -3, -4\/3, -0.26, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/3)*m**(1\/5))\/(m*m**2*m*m*m\/(m\/(m**(-2\/9)*m)))*(((m**(-2\/5)*m)\/m)\/m**(-6))**(-48) assuming m is positive.\nAnswer: m**(-12317\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 309399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 1. Let d(x) = -x**2 + x. Let s(b) = 1. Let i(j) = d(j) - 2*s(j). Determine -2*i(n) - 3*q(n).\nAnswer: -n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7910765 to 2 dps.\nAnswer: -0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 2)*(0 + 3 - 2)*(520*s - 520*s - 2*s**2)*(s**3 + 0*s**3 + s**3) - 3*s**5 - 4*s**5 + s**5 + (2*s**3 + s**2 - s**2)*(0*s**2 - s**2 - s**2).\nAnswer: -22*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36? (a) 5\/4 (b) -3 (c) -0.198 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-12)*32\/42*(-10)\/(-80)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**8\/840 - 2*r**7\/175 + r**6\/300 + 4*r**5\/25 + 4*r**4\/15 + 653*r**2. Factor x(s).\nAnswer: 2*s*(s - 4)**2*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + dd57?\nAnswer: dd63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/23 - 471558*d**2\/23.\nAnswer: -2*d**2*(d + 235779)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5613*l - 84045. Determine u(-15).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1620\/(-270))\/(12\/2)*-1)\/(2\/(-46))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 4:55 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 811921.1861 - 850\nAnswer: 811071.1861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 266045337?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3386 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 17*p - 18. Give g(6).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 3:07 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-143)\/52 - 2\/8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18 - 0)*(-12)\/(-24). Let m be b\/(-63) + 981\/7. What are the prime factors of 20\/60 - m\/(-3)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/120*10\/(-6) + 3\/6\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -11*k**3 - 1 + k + 2 + 2*k**3 + k**2. Let j be 24\/(-18) - 2\/(-6). Is a(j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 11*t - 1 - 3*t.\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1073 is divided by 331.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, k: 2, h: 4}. What is prob of picking 1 o and 1 k?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 29243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 156275 to the power of 1\/2, to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**4\/4 + 4*o**3\/3 + 3*o**2\/2 + 5*o + 11. Give i(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 52396 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/4)\/((-9)\/(-12)). Suppose -4 = -2*q, 4*z - 36 - 24 = -n*q. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/7, 2\/9, -2, -0.03, -1\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*b + 105 = 0, -46 = 2*z - 5*b + b. Let h = z - -33. Let d be h - (8\/(-48) + 19\/6). Let q(k) = -k + 1. Determine q(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 337*w**3\/6 - w**2\/2 + 6*w. Let h be b(1). Suppose n + h = 7*n. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -68, -2, 18, 0 in decreasing order.\nAnswer: 18, 0, -2, -5, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 PM and 4:50 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.2 (c) -3\/4 (d) -0.27 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -6903*v + 158718. Calculate m(23).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 1. Let o = -12 + 7. List the prime factors of z(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 4)*(4 - 1 - 1)*(-2 + 2 - x)*(3 - 2 + 0).\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 14*x - x)*(-1 + 4 + 1).\nAnswer: 44*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-2))**(-18)*(p\/(((p\/p**(-6\/7))\/p*p)\/p*p))\/p**(2\/3))**1)**(-19) assuming p is positive.\nAnswer: p**(22154\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -131 by -2476031.\nAnswer: 1\/18901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/2 (b) 100 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.65 or -259\/1744?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a day in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 PM and 6:12 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*n + 131*n = -5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 0*v = 0. Suppose v = -u - 0*u. Solve u = 2*y - 7*y - 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lmlm when four letters picked without replacement from lmmmlmmlmmmmlm?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3816 a factor of 51828912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from {x: 1, i: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 59 (base 11) to base 15\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 21. Solve b = 4*l + 4*r - 8, -r + 0*r + 5 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 34 = d, -28*d = -32*d - f + 17. Solve -20 = d*y + 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25\/10 - (12\/(-8) + 1). Factor i*x**2 - 7*x**2 - 16 - 455*x + 421*x.\nAnswer: -2*(x + 8)*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -3*j - 8, -17 = -i + 4*j for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180 (base 10) to base 12.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/494, -0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07000034 + 0.07. Round h to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170422393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -3*i - z, -2*i + 3*z + 40 = -2*z. Solve s = -2*s + i for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3486*b*i**3 + 1390717*b*i - b - 45969*i**4 wrt i?\nAnswer: -20916*b*i - 551628*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4 - 1. Let j(l) = 3 + a + 5*l - 7. Determine j(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 times -1.1596\nAnswer: -11.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2 + 6 = 0. Solve 0 = 3*y - 4 - g for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.2 - -6.75. Let i = b - -1.72. What is i rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - 222?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 79271 = -7*j - 4*w, -79277 = -5*j + 3*w. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (391\/102 - 21) - 4.\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 28. Let v = 3 - s. Does 3 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2099692 is divided by 69989.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3821\/2 - -1948. Let h = -381\/10 + y. What is the nearest to -5 in -5, h, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (-5 - 3\/(-1)). Calculate the least common multiple of (1\/2 - -1) + (-1)\/i and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 841262813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*w - 11, 2*w + 4*k = 10 - 2. Let i = w - 0. Let o(y) = y - y**i + y - y. Calculate o(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 947 = -f + 6691. Suppose -4*z + 3*n - 26484 = 0, 0 = 2*z - 4*n + f + 7498. Let t = z + 81621. Round t to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000945 to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -155.64 rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*t + 8 + 17*t + 0 - 9 to o*t + y and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h. Let j(c) be the first derivative of 0*c**4 + 3*c**2 + 3 + 0*c**3 + 0*c + 1\/10*c**5. Let s(x) be the second derivative of j(x). Give d(s(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1219.94 - -1220. Sort 20, b, -1.\nAnswer: -1, b, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 460 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48\/257 - -16061\/2056. Find the common denominator of v and -103\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2\/839, 2\/21, -4\/3.\nAnswer: -12, -4\/3, -2\/839, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241578?\nAnswer: 2, 3, 13421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*y**2\/5 - 28581*y\/5 = 0. What is y?\nAnswer: -9527\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*t + 39*t - c = -2326, 0 = -5*t - 4*c + 2329. Is t smaller than 463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4340.\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68426692.\nAnswer: 2, 101, 169373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0*g - 5*z = 18, 2*g + z = -9. Let h(l) = 1 - 10*l + 3 + 3 - 1 - 3. What is the units digit of h(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 24. Suppose -5*p + p = -4*w - 20, -25 = -2*w - 5*p. Let v(o) = w*o**f + 2*o**2 - o**2. Let l(s) = s**2. Calculate l(v(n)).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 1 = -9, -5*g + 5*x = -160. Solve -4*r + g = -4*j, 0*r - r - 23 = 5*j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9239 <= -9985?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, x: 2}. What is prob of picking 1 x and 2 m?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 80*s = 77*s - 51, -2*s = 2. Calculate the highest common factor of 352 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/(-9) - (-2)\/3. Let r = 19.7 + -19.7. Which is the nearest to r? (a) p (b) 0.1 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5232 (base 6) to base 5.\nAnswer: -14142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(19) + -2 - -1*sqrt(1216))**2 + -2.\nAnswer: -54*sqrt(19) + 1546","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-104 - -98) + -28 + 59.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*h - 4*h + 16, 5*h + 4*f = 7. Sort -2, h, -4 in decreasing order.\nAnswer: h, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 5*h - 6. Let o = h + -9. What is the third derivative of f**6 - f**6 + 2*f**o - f**2 wrt f?\nAnswer: 240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, q: 2, j: 1, k: 1, s: 1, a: 1}. Give prob of picking 1 q and 1 i.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -314 - -63?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.04675690599 and -11.\nAnswer: -11.04675690599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 52. Suppose -14*u = -12*u - w. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89 - 48 + 15 + 106 + 79 + i.\nAnswer: i + 241","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 16 = 2*k + 6*j, -3*j = 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3194 - 4804. Is 20 a factor of o\/(-22) + (-2)\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (3 - (-2 + (-4 - -4)) - 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -30.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, -15, 1 in ascending order.\nAnswer: -64, -15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/1344 and 58\/63?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7566*g**2 - 237866270*g + 237866270*g - 13505 wrt g?\nAnswer: -15132*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 5*d**2 + 7*d - 2. Let j be a(6). Let g(n) = n. Let k(v) = v**2 - 3*v - 4. Let z(q) = -g(q) - k(q). Give z(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -z**6\/120 + z**5\/5 - 31*z**3\/3 + 20. Let g(m) be the third derivative of y(m). Determine v, given that g(v) = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2446 (base 15) to base 13.\nAnswer: -3687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -515?\nAnswer: -51a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**5\/5 - 324*r**4\/5 - 12972*r**3\/5 + 4760*r**2 + 180630*r - 656100 = 0.\nAnswer: -81, -10, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 30410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -813632 divided by 8\nAnswer: -101704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, 456, 4, 0.5, -228?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - c**2 - c + 1. Let t(v) = -7*v**3 + 6*v**2 + 7*v - 19. Let h(f) = -6*a(f) - t(f). What is the units digit of h(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -m**5\/3 + 97*m**4 + 84901*m**3\/3 + 567461*m**2\/3 - 1099296*m + 3642100\/3 = 0?\nAnswer: -175, -11, 2, 473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of t**6\/24 - t**5\/12 - 55*t**4\/12 + 100*t**3\/3 - 6953*t**2 + t. Factor d(x).\nAnswer: 5*(x - 4)*(x - 2)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/15 + 16\/3. Find the third derivative of 0*n - 3*n**i + 2*n - 2*n + 2*n**2 wrt n.\nAnswer: -360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2728526540 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.054 and 0.2409890577.\nAnswer: 0.1869890577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 20 = -2*l + 2*f, -2*l - 4*f = -44. Let a = l + -18. Let k(j) = j**3 + 2*j**2 + 2*j. What is k(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1331828, -1331833, -1331838?\nAnswer: -1331843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.33 + 7.04. Which is the fourth biggest value? (a) -4 (b) -2\/13 (c) i (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131570055 divided by -5.\nAnswer: 26314011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 - (2\/2 - 29). Suppose f + 36 - 132 = 0. What is the greatest common factor of f and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57683 + 10274. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 855 a factor of 19147046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.06? (a) 0.4 (b) 9 (c) -0.3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 2*g**3\/3 - 15*g**2\/2 + 12*g. Let t be v(4). Let w be -8*(t - (2 + 0)). Solve 3*i + w = 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/3*3\/2. Let z = b - 1. Let j be 2\/(-10 - z)*-20. Solve -j*q - 2*t = 13, 17 = 3*q - t - 4*t for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 20 + 16 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3*2\/(-3) + -14)\/(-1). Suppose -s - s + v = 0. What is the lowest common multiple of 57\/3 + 2\/2 and s?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 99 + -147. Suppose -328*k = -286*k + 1974. Which is greater: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -59\/2991666 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -189522 by -480.\nAnswer: 31587\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o**2 + o + 15. Let k be b(3). Let p be k\/(-15)*(-150)\/(-90). Factor 5\/7*v + 2\/7 + 1\/7*v**p + 4\/7*v**2.\nAnswer: (v + 1)**2*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (((sqrt(143) + (sqrt(143) - sqrt(143)*2)*2 + sqrt(143) - sqrt(143) - sqrt(143))*-2)\/(3*(-2*sqrt(396) + sqrt(396))))**2)*1.\nAnswer: 457\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.04, -41, -2379?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/177134 or 1?\nAnswer: -1\/177134","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*k + 16 - 142 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 463 = 3*h, -144*h = 4*v - 140*h - 1820. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 149 is divided by 31.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wowowwtbozwwziz. What is prob of sequence oww?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1528 - 765 + 29*k - 765)*(k**3 + k**3 - 4*k**3)*(1 - 1 + k).\nAnswer: -58*k**5 + 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140) - (sqrt(140) - sqrt(140)*-2))*4 + sqrt(140))\/(sqrt(200)\/sqrt(10)).\nAnswer: -7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 726*h**2 - 1254*h + 1083\/2 = 0. What is h?\nAnswer: 19\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2964 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 22 - 3 - 20.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(320))**2 - (sqrt(960)*1)\/sqrt(12).\nAnswer: -4*sqrt(5) + 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -6*h + 1705. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-2))\/((-2)\/(-4)). Let x = -64 - -89. Suppose -5*j + x = 50. Sort j, 5, c.\nAnswer: j, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 84\/56 - 170\/(-4). Calculate the highest common divisor of 110 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1735*d - 372 = -2287*d + 11772 for d.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*f + 65 = 0, -f = -2*s + 6*s - 35. Suppose n = 2*n - s. What is the lowest common multiple of n and (6 + -3)\/((-54)\/(-36))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45676952 is divided by 113.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32607\/1292 - -4\/323. Let p = 49\/2034 + -216701\/9248598. Let s = 368331\/36376 - p. Calculate the common denominator of s and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**3 - 102*s**2 - 99*s - 262. Calculate h(52).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3328.126 seconds in milliseconds?\nAnswer: 3328126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence us when two letters picked without replacement from sissssiuiussusus?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 27*l + 184. Let n be a(12). Solve -2 = n*c + 6*g - g, 0 = -3*c - 3*g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1387?\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*b + 12, 21 = 3*f + 3*b + 3. Suppose -4*z + 12 = 0, 5*r + f*z - 978 = 7*z. Is 15 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 3*q + 13. Let z(n) = -13*n + 29. Let u(s) = 17*s - 43. Let a(j) = 8*u(j) + 11*z(j). What is 4*a(f) + 9*y(f)?\nAnswer: -f + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 9:36 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3748 + 3748.2. Suppose -40 = -f + 3*f. Let g be 2\/f*(-10)\/8. Which is bigger: g or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**4\/6 + 16*x**3\/3 - 23*x**2\/2 + 5*x + 183. What is h(16)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-2\/5)*f)*f\/((f\/f**(2\/5)*f)\/f))\/(f\/f**7)**(22\/9) assuming f is positive.\nAnswer: f**(217\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.7 - 1.7. Which is the closest to 1\/4? (a) 11 (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418346?\nAnswer: 2, 209173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*i + 64 = g, g = -4. Let x = i - 20. Which is greater: x or -12?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.7422 * -0.4\nAnswer: 2.69688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5701\/370 + -153\/10. Let b = u - -46\/259. Let n(p) = -p**2 + 3*p - 1. Let z be n(2). Is z >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34 - (-13552)\/396)\/((-2)\/72) + (1 - 1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**2 + 7*h - 20. Let g be q(10). Let y = g + 262. Calculate the highest common divisor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -20\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 + 45. Suppose -2*n = -4*p + 22, -5*p = -0*p + 4*n - v. Let w be ((-1)\/35)\/(2\/p). Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**2 + m**2 + m**2)*(2 - 5190*m**2 - 1 - 2364*m**2 - 1) as t*m**3 + d + u*m + s*m**4 + r*m**2 and give s.\nAnswer: -22662","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 24) + 0 + 0. Let z be 10*1\/1 + (-6)\/1. Does 7 divide l*((-7)\/(-4) - z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/8 of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 3:21 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9326 is divided by 2326?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -51 (c) -0.12 (d) 4 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-12))\/(19161\/(-1354044))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 391*r - 71*r - 76*r - 82*r - 86*r - 80*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39117*q**2 - 3 + 5 + 0 + 78654*q**2 - 39279*q**2 - 3.\nAnswer: 258*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jll when three letters picked without replacement from lljln?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 2. Let i(g) = -4*g**2 - 6. Let v(h) = 2*i(h) - 6*p(h). Let y(w) = 38*w. Determine v(y(a)).\nAnswer: -2888*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rm when two letters picked without replacement from zzxzzmrk?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 6:06 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(242) - ((1 + sqrt(242))**2 - sqrt(242))) + -3.\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 272 = 160. What is the remainder when t is divided by 21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 927679.88 to the nearest ten thousand.\nAnswer: 930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16173004 is divided by 16172992?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 31. Let h = 28 + l. Calculate the remainder when h is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 16 = 3*k - k, d = 4*k + 4. Which is the second biggest value? (a) k (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -118 at most as big as -17147\/145?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*q - 11 = 5*k, 1 = -2*q + k. Let o = -63 - -63. Which is the third biggest value? (a) q (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 10*b + 27. Let i be j(-6). Solve i*g = -10 + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242*b**2 - 248*b**2 + 758*b**2 - 264*b**2.\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 330237285 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 != 1.31716?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2731?\nAnswer: 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 226?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -1\/3*n**3 - 5\/2*n**2 - 2*n - 2. Let o be g(-2). Solve -o*c = -6*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 0. Suppose -6*t - 4*c - 5 = -t, -i*c - 4 = 4*t. Let b(h) = -21*h - 1. Calculate the remainder when b(t) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6489 + -6488.5. Let m = -20 - -37\/2. What is the closest to q in 0.5, -1.3, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4*t + 2166, t = -s + 5*t + 1077. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-2 + (-96)\/(-3)). Let o = m - -46. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, k: 4, d: 5, j: 2, e: 1, g: 2}. What is prob of picking 1 j and 1 w?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, x: 3, k: 6, c: 2}. Give prob of picking 2 c.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 1. Let y(p) = 2*p - 4. Let d(v) = -7*s(v) - 2*y(v). Let i be (-20)\/8*(-2)\/5. Suppose -a - i = 2*j, -3*a + 8 = -7*j + 2*j. Determine d(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 2 = -4*x - 2*v, 5*x = -2*v + 38. Suppose r = -x - 11. Let o = r - -27. Solve 0 = -t + 3*t - o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16131 - -29461. List the prime factors of c.\nAnswer: 2, 5, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -a. Let h(p) = -p**3 - p**2 + p + 6. Calculate the least common multiple of h(a) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, l: 2, p: 1, q: 2, o: 1}. What is prob of sequence pon?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 17 + 3 = 3*x, 3 = w - x. Suppose -w*s + 24985167 = -25014833. Round s to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 36 = -3*s, -5*s + 5*f = -s + 3. Let i(j) = j**3 + 8*j**2 + 7*j + 8. List the prime factors of i(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1050425513 - -44?\nAnswer: 1050430001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/2 in 3, -0.2, 2\/19, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 916 = 7*w + b, -w + 303 = 2*b. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minus 28902203058?\nAnswer: -28902203031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 31*s**2 + 81*s + 490. Determine z(-33).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2)*(-2*z**2 + 0*z**2 + 0*z**2) in the form w*z + y*z**2 + q and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -47. Let b be 1 + o + 188\/36 + -4. Let q = 2.8 + -3. What is the smallest value in b, q, 1\/2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**7\/5460 - n**6\/180 - 7*n**5\/390 - n**3\/3 + 18*n**2 - 132. Let g(l) be the third derivative of q(l). Factor g(p).\nAnswer: 2*p*(p - 14)*(p + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -13*v + 3*v**2 + 167*v**3 - v**2 - 1 + 12*v. Let m(z) = z**2 + 15*z + 55. Let p be m(-6). What is the hundreds digit of x(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2218 (base 14) to base 6\nAnswer: 43154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 214, 1768, 5616, 12796, 24346, 41304?\nAnswer: 64708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + j + 18. Sort 0, 13, j in decreasing order.\nAnswer: 13, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7683 and -8.\nAnswer: -7691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**5 - 15*y**4\/4 - 5*y**3 - 5*y**2\/2 - 12. Let h(r) = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 2:05 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 181, 8, -0.8, 13.\nAnswer: -5, -0.8, 8, 13, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**8\/1008 + n**7\/630 + n**6\/360 - n**5\/180 - 137*n**2. Let x(r) = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5015.050116 and -1697.9.\nAnswer: 3317.150116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*s + 56 = -99*s - 99*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(20\/(-3))*18\/(-81)*96\/12.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13650948?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 2\/11, 4, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 645, 2231, 5357, 10545, 18317?\nAnswer: 29195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*b + 3*w - 2, -b - 4*w - 15 = 0. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12640131 and 315?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + sqrt(204) + -2*-2*sqrt(204) + sqrt(204))*-2)\/(sqrt(2352)*-2 - sqrt(2352)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffbd when four letters picked without replacement from {d: 4, k: 4, e: 2, b: 3, f: 3}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -g**9\/15120 + g**8\/6720 + g**7\/2520 - g**6\/720 + g**4\/12 + g. Let b(h) be the third derivative of m(h). Factor b(q).\nAnswer: -q*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -69 * -0.02.\nAnswer: 1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 462919950 rounded to the nearest ten thousand?\nAnswer: 462920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278899.\nAnswer: 131, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258187579?\nAnswer: 13, 1693, 11731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5741736924.\nAnswer: 2, 3, 7, 11, 41, 151561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - (2 + 2))\/1. Suppose 0 = o + 3, 3*s + 4*o + 12 - 3 = 0. Let g = s - 5. Put g, -1, b in decreasing order.\nAnswer: -1, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132459 to the power of 1\/2, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -513, -1188, -2085, -3210, -4569, -6168, -8013, -10110?\n\"Answer: -f**3 - 105*f**2 - 353*f - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 159 = 13*a - 3*a + 13*a + 14*a, -8*b = -4*a - 228 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -280784 by -763.\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*s + 6, 2*s + 36 = f. Calculate the greatest common divisor of 30 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 + (13 - -139)\/19 and 1360.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 1 - -5 - (-3 + 6)) + 45.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 57457804 at most as big as 57457797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353070.\nAnswer: 2, 3, 5, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 4. Suppose -5*r = -2*f + 98, x = 2*r + 3*r - 5*f + 110. Let j = -71\/4 - r. Which is the nearest to j? (a) -5 (b) 5\/6 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (sqrt(209)*3)\/sqrt(11)) + 5 + 3 + (sqrt(304))**2 + (sqrt(304) - (sqrt(304) + 0)) + -4)*-3.\nAnswer: -924 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 120, 107, 82, 39, -28, -125, -258, -433?\nAnswer: -656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 356056218?\nAnswer: 2, 3, 7, 41, 157, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/33)*b**(-2\/33))\/(b**8\/(b**(9\/2)*b)) assuming b is positive.\nAnswer: b**(-107\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14484*h - 5237 with respect to h.\nAnswer: -14484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3 + 58\/(-6). Let m = -113363 - -793539\/7. What is the biggest value in m, p, -4, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 - -58.8. Which is the third smallest value? (a) 5 (b) 0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 277341 and 965?\nAnswer: 1386705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 344005 at least as big as 344184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, 3 in descending order.\nAnswer: 3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(242) - (sqrt(242) + 0)) + -4 - 1*sqrt(242)*-2)*4)**2.\nAnswer: -2816*sqrt(2) + 15744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (51135\/30681)\/(1 - (-1 + (-10)\/(-6))). Solve 2*a - 10 = -29*o + 33*o, 0 = -z*a - 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.799983 - -9.8. Round z to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154\/23177*43*-1*(-70)\/36?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-132)\/44)\/((-21)\/(-3))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4532, 17941, 40290, 71579, 111808, 160977?\n\"Answer: 4470*t**2 - t + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**6\/120 + p**5\/15 + p**4\/12 - p**3 + 12*p**2. Let x be d(4). Solve 0 = z + 5*r - 8, 4*z = -x*r + 6*r + 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.3 + 5.1. Let k = 196 - 195.989. Which is the biggest value? (a) 0.5 (b) k (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*j - 13443 - 84592 = 0. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*u*x - 7791*u - 390*x wrt x.\nAnswer: 4*u - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/((-1435)\/(-41))*-27.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -607*s = -157*s + 853*s + 227*s - 24480 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1174 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42227 is divided by 5277.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15 and 24511035.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1393 = -h + l, 0 = -43*l + 39*l. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/8364 and -83\/7872.\nAnswer: 133824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c*((c\/(c\/(c**4*c)))\/c)\/c)\/c)**(-33))**(-37))**(5\/7))**(-26) assuming c is positive.\nAnswer: c**(-476190\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -341 * 0.4\nAnswer: -136.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 1 - -2) + -10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 22 - 433*i + 431*i - 25. Calculate g(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.13 (b) -5 (c) 2 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -4*z + g, 3*z = -3*g - 2*g - 21. List the prime factors of (116\/(-12))\/(-1 + (-10)\/z).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 5. Let q be w(-5). Suppose -7 = -5*y - 2. Put y, 2, q in descending order.\nAnswer: 2, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*s**5*t**2 + 13*s**4*t**2 - 717*s*t**2 wrt s?\nAnswer: 520*s**3*t**2 + 156*s**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 4*t**2 - 2*t + 5. Let b be q(4). Is 6 a factor of 79*1 + 5\/(-15)*b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6365, -22266, -38165, -54062, -69957?\n\"Answer: n**2 - 15904*n + 9538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/588 - ((-9)\/(-4) + -2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(4)\/sqrt(2)) - (sqrt(72) + -2*sqrt(72))\/sqrt(4))\/(-1*sqrt(54) + (sqrt(144)\/sqrt(4))\/sqrt(6)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -6*k**3 - 3*k**2 - 5*k. Let u be z(7). Let h = -1459 - u. Let a = 1472 - h. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/13 (b) 0 (c) -1.2 (d) 5 (e) -10\/51\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 0. Let b be (-3 - (1 - t))\/(-1). Let w(q) = q + 6. Let i be w(b). Which is greater: 0 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.818 - 0.182. Sort p, 0, 8 in descending order.\nAnswer: 8, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {i: 3, k: 5}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -7*o**2. Let v(j) = j**2. Let i(n) = -l(n) - 5*v(n). Let b(x) = 22 - x**2 - 22. Determine i(b(k)).\nAnswer: 2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -6 + 32 + (-26 - 17) + 13 - -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 112?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*r - 5*v, 0 = -4*r + 4*v + 15 + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/8)\/((54\/120)\/3)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*y**4 - 72*y**3 + 12*y**2 + 128*y - 48 = 0. What is y?\nAnswer: -3, -2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -148*s**3 + 6*s**2 + 1683*s wrt s?\nAnswer: -888*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k + 56. Let t(d) = -3*d - 84. Determine -8*m(w) - 5*t(w).\nAnswer: -w - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - c**2)*(32*c - 33*c - 11*c**3 + 0*c).\nAnswer: 11*c**5 + c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 times 7521\nAnswer: -601.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 108116 or 106155?\nAnswer: 106155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*k - 44 = 0. Let n(g) = -10*g - 58. Let j be n(-6). Suppose -2*v + 24 = -4*m, -4*v + 52 = j*m + 4. Which is smaller: k or v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 27*v - 27*v + v**2. Let h(l) = -2*l + 2*l - l**2. Determine h(i(w)).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1140)\/(-4) - 6\/1. Let w = -271 + o. Solve 7*c - 4 = w*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011100011 - 101?\nAnswer: 10011011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*q**4 - 2249*q**3 - 104*q**2 + 35267479*q?\nAnswer: -108*q**2 - 13494*q - 208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -750 - -777. Which is the third smallest value? (a) 1 (b) 2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 + -44. Let m = 37.3 - x. Let g = m + -8. Which is the nearest to 0? (a) 0 (b) g (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 461*i - 485*i - 360. Let m(k) = k**3 - 3*k**2 + 2*k + 2. Let j be m(4). Let h = i + j. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -f401 (base 16) in base 14?\nAnswer: -18a9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 246 and 1452.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221, 1688, 5661, 13394, 26141?\nAnswer: 45156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/155 and 19\/705.\nAnswer: 21855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2531?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -335*w**5 - w**3 + 8*w**2 - 32413*w wrt w.\nAnswer: -6700*w**3 - 6*w + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.01 plus -2.9?\nAnswer: -6.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*r**2 - 17*r**2 - 21*r**2 + 73*r**2 - 17*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/3 + (-80)\/(-15) + -4. Let o(n) be the second derivative of 6*n - 1\/6*n**x + 1\/12*n**4 + 0 - 1\/2*n**2. What is o(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 790 divided by -6.\nAnswer: -395\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 107237 - -10?\nAnswer: 107247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 2279 divide 5630763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -305*c**3 - 3*c**2 - c + 1. Is 38 a factor of p(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -7*m + 10. Let w(i) = 3*i - 5. Let f(l) = 2*j(l) + 5*w(l). Let n be f(0). Let g(u) = -8094 + 3*u - 4*u + 8091. What is g(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 48, 107, 192?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20664 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*b - 36*b + 2*y = 0, -5*b - 2*y - 7 = 0. Let i = 3 + -4. Let p = -4 - i. What is the biggest value in b, p, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 3. Let l = -40 - -57. Let o = l + j. Does 5 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*z + 22 - 22 + (-3*z + 9*z + 2*z)*(-97 + 45 + 46) in the form m + y*z and give y.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 3*h**2 + 2*h)*(180 - 474 + 152).\nAnswer: -426*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 3*v - 4*v)*(-18*v**4 - 170 + 170).\nAnswer: 54*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b + 8. Let h be k(7). Let s = h + 2. Suppose -2 = v - 6. Solve -l - s*l = v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - j + 9. Let k be r(10). Suppose -2*p + k = 93. Factor 0 + 1\/2*t**p + 1\/2*t**4 + 0*t - t**2.\nAnswer: t**2*(t - 1)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -13.0765 and 1.15.\nAnswer: -11.9265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11663 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n - 190. Let t(m) = 3*m + 86. Let q(l) = 6*f(l) + 13*t(l). Give q(8).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4)*2)\/(10\/20). Differentiate -36*r - j*r - 41*r + 68 wrt r.\nAnswer: -79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 1. Let s be (36\/10)\/9*10*1. Let g(l) = -4. Calculate s*d(n) - g(n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -361 (b) -0.6 (c) -373\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h**5 + 3895*h**4 - 756595*h**3 - 764395*h**2 + 756600*h + 760500 = 0. What is h?\nAnswer: -1, 1, 390","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2. Suppose -5*d - r = -1, -2*d - 4*r + 4 = d. Suppose d*o = -2*m - o - 5, -5*m = -o - 5. Determine g(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 489191 is divided by 327.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18901 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjaajae. Give prob of picking 1 a and 1 j.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4254919 is divided by 327?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z + 1. Is 3 a factor of n(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 1, 406, 2117 in descending order.\nAnswer: 2117, 406, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 6*y**2 + 10*y - 27. Let w be d(-23). Suppose q = 27*q - w. What are the prime factors of q?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 - t**3 + 2*t**3 + 2*t**2)*(54*t - 93*t - 57*t) + (2*t - t**4 - 2*t)*(-1 - 3 + 2).\nAnswer: -94*t**4 - 192*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 17*r - 22. Let d be u(-17). Let b = 33 + d. Is 59*((-1 - -1) + b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 38 - 21. Let y = 733.7914 - 750.79. Let r = y + j. What is r rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (4 + -11)) + -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5665671.9s in hours?\nAnswer: 1573.79775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m. Let p(h) = -4*h + 4*h - 6 + 3*h + 3 - 4*h**2. Let k(z) = 5*z**2 - 4*z + 4. Let o(y) = 3*k(y) + 4*p(y). What is o(x(b))?\nAnswer: -25*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(1*(sqrt(32) - sqrt(8))) + 0 + (sqrt(76)\/sqrt(4))**2 + -5 - (-1*-2*sqrt(1539) + 3 + 1).\nAnswer: -17*sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**2 - 38*h**2 + 21*h - 21*h.\nAnswer: -46*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - -11321103232?\nAnswer: 11321103211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28)\/21*6\/(-1). Factor -2*l**2 + 4*l**3 + 8 - 26*l**3 + 8*l**3 + 12*l**3 + k*l.\nAnswer: -2*(l - 2)*(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/6 + 10\/15. Find the common denominator of -71\/6 and 2 + (755\/30)\/w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**4\/12 + z**3\/6 + 2*z**2 - 643*z. Let m(t) = t. Determine f(o) + 4*m(o).\nAnswer: 6*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-48)\/8*(-4)\/6. Suppose 0 + 24 = u*o. Suppose 0 = v - 0 - o. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6406*k**6*q**3 + 2*k**4*q**3 - 8*k**2*q + 8*k*q**3 - 35*k wrt k.\nAnswer: 768720*k**3*q**3 + 48*k*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 34 = -37. Let j(w) = -77 + 78 - 7*w + 7*w - 2*w**3. Give j(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100402012 (base 6) to base 3\nAnswer: 10012221021022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4\/7 - 1392*t**3\/7 + 5546*t**2\/7 - 6924*t\/7 + 2768\/7 = 0 for t.\nAnswer: 1, 2, 692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4628 and -2.3.\nAnswer: -10644.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 4011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -39261\/307 < -128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2955 - 3091 = 0. Suppose 2*s = -5*o + 3468, 0 = 5*o - 2*s - 429 - j. List the prime factors of o.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*v**3 - 99\/2*v**2 - 186 + 189*v.\nAnswer: 3*(v - 62)*(v - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 1:58 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of v**8\/1848 - 3*v**7\/385 - v**6\/660 + 39*v**5\/110 - 36*v**3\/11 + 652*v**2. Suppose u(c) = 0. Calculate c.\nAnswer: -3, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 10. Let v(n) = 3*n**3 - 6 + n**3 + 2*n - 5*n**3 - 8*n - 4*n**2. Is v(b) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**5 - 1180*p**4 + 73050*p**3 - 402500*p**2 + 330625*p = 0. Calculate p.\nAnswer: 0, 1, 5, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1966 + -3.8034. What is the third biggest value in -24, 5, x?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + -1 + sqrt(17) + ((sqrt(85)\/sqrt(5))**2 - sqrt(17)) + sqrt(17) + sqrt(68)*5.\nAnswer: 16 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/136195 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - (-7 + 3140\/(-5)). Is i\/(-6)*5*4\/(-30) a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*n**4 + 35148*n**2 - 26640*n.\nAnswer: 24*n**2 + 70296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1055967800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/5 + 989916*b\/5 - 2969703.\nAnswer: -(b - 989901)*(b - 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -2\/12133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqf when three letters picked without replacement from {f: 3, q: 5}?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -124, -284, -508?\nAnswer: -796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80 - 84 - 230 + 2*n.\nAnswer: 2*n - 234","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51881532 is divided by 2308.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7941.\nAnswer: 3, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**2\/2 + 62947*c\/2 = 0.\nAnswer: -62947, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 10:48 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 62, 82, 100, 110?\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -411 + 10*s**2 + 411.\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 67 and 103642?\nAnswer: 6944014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2123.646 - -2126. Let i = n - 2.02. Round i to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46309 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -594c (base 14) to base 6\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-8 - -11) + (3 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 6:48 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -948.9 + 941.9. Let d(f) = f**2 + 9*f + 12. Let q be d(-8). Suppose 4 = q*y - 16. What is the smallest value in w, 3\/4, y, 2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2627.53 rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -5*c + 4*y + 13, 17 = -3*c - 4*y for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2\/7)*c)\/((c\/((c*c**(5\/4))\/c))\/c)*(c**(1\/3))**(-12)*(c*c**6*c*c**1)**(-41) assuming c is positive.\nAnswer: c**(-10345\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 1. Let y(b) = 2*b**2 - 3. Let x(c) = c + 6. Suppose 0*o + 4*o = -36. Let i be x(o). Give i*n(j) - y(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + r**2 - r - 1. Let s(b) be the second derivative of -b**5\/5 + 2*b**4\/3 - b**3\/3 - 3*b. Let h(i) = 3*f(i) - s(i). Calculate h(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/30)\/((15\/(-8))\/(135\/(-30)))*100?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 - 8*j - 9. Let b be t(7). Suppose -b = -v + 24. Is v a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7273031 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.122 - 3.11. Let w = 18 - 12. Let m = d - w. Round m to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 5*j**2 - 12*j - 31. Let q be w(-6). Solve q*d - 12 - 7 = -3*r, -5 = -r - d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 656*p + 57400 = -366*p + 198*p + 4*p for p.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 3:39 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 10:53 AM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/37341 and 77\/324.\nAnswer: 149364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 49522 and -8.\nAnswer: -396176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1964*t - 1969*t + 3*g - 14 = 0, 0 = -2*t + 4*g - 14 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4432 - -14545?\nAnswer: 10113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32773018 - 32773018 + 2806*y**3 + 1451*y wrt y.\nAnswer: 16836*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 + 272. What is the greatest common factor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) -1\/16 (c) 1 (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1056 and 46353824?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 632035 and 855?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x - 165 = -445. What is the smallest common multiple of 243 and x?\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*h - 5*b - 23, 0 = -3*b - 9. Let r = h - -10. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 446*c**2\/3 + 236*c\/3.\nAnswer: 2*c*(223*c + 118)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*y**2 - 11*y**2 + 4*y**2 - 4*y**2 + 4*y**2 - y**2 + (1 - 1 - 3*y**2)*(2 - 2 + 1) - 5*y**2 + 3*y**2 + 4*y**2 to the form r + n*y**2 + m*y and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8177 + 7077 + 16324)*(-l + 4*l - 5*l).\nAnswer: -30448*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/11)\/(1342\/(-42) - (642 - 674)).\nAnswer: -21\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78 + -46. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*n**3 + 915*n**2 + 2856*n + 657.\nAnswer: 3*(n + 3)*(n + 73)*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 77476608 to the power of 1\/5, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**4 - d + 2 + d)*(0 + 3 + 238).\nAnswer: -723*d**4 + 482","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 3*p**2 - p + 5. Suppose 16*q - 3 + 3 = 0. Let m be c(q). Solve -19 = m*d - d + 3*l, 0 = 5*d - l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/7))**(6\/11)\/(t**(-6\/7)*t)**(-27) assuming t is positive.\nAnswer: t**(39\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/9, -0.51, 2\/23, 113, 1.3 in ascending order.\nAnswer: -0.51, -2\/9, 0, 2\/23, 1.3, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -254?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**3 + 2*p**5 + 3*p**3 + (-4*p + 5*p + 0*p)*(2*p - 2*p + 2*p**4) - 103*p**3 + 2*p**5 + 218446*p - 218446*p.\nAnswer: 6*p**5 - 103*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 259743 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 12*s**2 + 15*s - 24. Let q be d(13). Which is the closest to -2\/5? (a) -0.5 (b) 3\/7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.9 - -2.942.\nAnswer: 18.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10363 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*p + 13*p - 30*p - 67*p**2 - 24*p.\nAnswer: -67*p**2 - 63*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3089191.\nAnswer: 7, 19, 23227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -53601 + -46682?\nAnswer: -111383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 413 = 7*f - 66*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hnhshssnqsehhnhhh. What is prob of sequence nqne?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1031 + 3031?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2450 divided by 350\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {r: 1, a: 12}?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 8:44 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 4*f, -13 = -s - 2*f. Calculate the remainder when 19 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 9. Factor 2 - 2*a**2 + 3*a + k*a**2 + 3*a**2.\nAnswer: (a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/782649 and 89\/4435011.\nAnswer: 13305033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0*p + p)*(1644*p**3 + 315154*p**2 - 315154*p**2).\nAnswer: 3288*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u. Let g be b(2). Suppose -g*i + 144 = -228. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 343 + 3*m - 6*m**4 - 8*m - 347 in the form p + g*m + x*m**4 + i*m**3 + b*m**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3 + 1*sqrt(171) + -4)**2.\nAnswer: -6*sqrt(19) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004237 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/151 - -613\/453. Factor -4\/3*z**2 + 8\/3*z - n.\nAnswer: -4*(z - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -556 rounded to the nearest ten?\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -25*u**3 + 6*u**2 + 6*u - 8. Let a be 0\/(0 + 3) - (0 - -1). Let h(n) = -n**3 + n**2 + n. Let y(v) = a*l(v) + 6*h(v). Differentiate y(t) wrt t.\nAnswer: 57*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*d + 71*d = 152*d + k + 765 - 782, -3*d = 2*k - 29 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.0732 * -199.\nAnswer: 4392.5668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 5*o + 15 + 5, 4*d = -5*o - 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-1 - 9) + 1106\/553\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5200) - -1*sqrt(5200))**2 - (sqrt(117)*-2 + (sqrt(13) + (sqrt(52)\/sqrt(4) - sqrt(13)))**2 + -2).\nAnswer: 6*sqrt(13) + 20789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19879 - -795163\/40. Find the common denominator of u and -151\/2616.\nAnswer: 13080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 79559912 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-258)\/(-8)*(-2)\/(-18) and 58\/3*32\/(-4096)*24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*t - 5*x, -3*t - 8 = -4*t - x. Let r be (-20)\/((24\/33)\/t). What is the remainder when r\/(-3) + (-1)\/(-3) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 394620*o - 85345*o + 395451*o.\nAnswer: 704726*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/35906 and -30\/951509?\nAnswer: 1903018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 204 + 1?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3 - (-17)\/(-3). Let v(c) = 5*c**2 - c + 3. Let a(t) = 6*t**2 + 3. Let d(s) = -6*a(s) + 7*v(s). What is the tens digit of d(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.13 + 0.93. Which is the third biggest value? (a) -3 (b) k (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 348 + -314. Suppose 0 = v*l - 36*l + 28. What is the smallest common multiple of l and 146?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 57 - 166 - 769*m + 644*m**2 + 58 + 50 wrt m.\nAnswer: 1288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 687 is divided by 115.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -274 - (93 + -147 + -67)\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.078932 * -97\nAnswer: -7.656404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 56*u**3 + 59*u**3 - 117*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l - 13. What is the remainder when i(-14) is divided by -5 + (2\/4 - (-1488)\/96)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88462433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -0.1826.\nAnswer: -0.5826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 276 and 38529.\nAnswer: 3544668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 65*t**2 - 59*t - 55. What is l(65)?\nAnswer: -3890","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.299 - 475821?\nAnswer: -475820.701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 8:57 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12473*u + 12443*u + 26366610 = 0. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 14\/(-6)) + (-172)\/258 - (-62)\/(-102).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64147?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/45*(270\/63)\/(-10)*2.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 1:44 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*g + 30 + 108 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 59978356 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000172732 rounded to six decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1954 is divided by 95?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_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: What is the hundreds digit of 1900093?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -419*t**4*u - 2*t*u + 12*u - 5 wrt t.\nAnswer: -5028*t**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 15, 2*n - 2 = 2*a - 0. Suppose -9 - 1 = -a*d. Solve -2*m - d*y = 19, m = y - 0 + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 4 = 3*s. Suppose 0 = -0*t + 3*t - v - 20, 0 = 2*v - 2. Let d be 2\/t + (-80)\/35. Which is the nearest to -0.2? (a) d (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/10 + 468\/(-520)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4328)\/(-9064) - (-12)\/(-22). Which is bigger: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yiffqyyffyyiqgqyyi. Give prob of picking 2 i and 2 q.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 5)*(2 + 3*m - 2)*(-1 + 0 - 1)*(-m**2 + 6 - 6) + 64 + 64*m**3 - 64.\nAnswer: 76*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + sqrt(165)\/(2*sqrt(5)))\/sqrt(108).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x + 1. Suppose 2*j + 12 = 4*j + 2*g, 3*j + 5*g - 22 = 0. Let u be b(j). Suppose 2*z + u = 5*z. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15654, 30747, 45840, 60933, 76026?\nAnswer: 91119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3))**28 assuming z is positive.\nAnswer: z**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8912*n**4 - 142400*n wrt n.\nAnswer: -106944*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -1\/6*y**3 + 1\/2*y - 1\/8*y**4 + 105 + 1\/4*y**2. Factor v(m).\nAnswer: -(m - 1)*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -215101213 (base 7) in base 8?\nAnswer: -61335670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45563519 is divided by 912?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7767 + 15783 - 7823 - 6*p.\nAnswer: -6*p + 193","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -191537 and -191548 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -37, -22, -7, 8?\n\"Answer: 15*b - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 53, 182, 391, 674, 1025, 1438, 1907?\n\"Answer: -t**3 + 46*t**2 - 2*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8152382 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (0 + 7 - 3)) + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2*13*4\/26\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2510 is divided by (-4)\/(798\/(-9234)*(-4)\/(-7))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) + sqrt(539) + sqrt(539) + -2 + -1 + sqrt(11)*-1.\nAnswer: -3 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2609629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/5)*q)\/(q\/(q*q*q*q**32))*(q**(4\/9)*q)\/(q**(3\/19)*q))**44 assuming q is positive.\nAnswer: q**(1342528\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*s - 0*k, -3*s - 3*k = -12. Let v = 2.98 - -182.02. Let p = v + -185. Which is the closest to s? (a) p (b) 1\/2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-198)\/(-27))\/(-11))\/(1\/(-21)). Solve 0 = -y + 13 - l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.04 (b) -0.003512 (c) -2\/7 (d) 7 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/581 - -4615\/6391. Calculate the common denominator of -47\/709 and s.\nAnswer: 7799","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2014 and 1219.\nAnswer: 46322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -70019, -70275, -70531?\n\"Answer: -256*m - 69763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 109648335?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(84) - (5*sqrt(84) - sqrt(84)))*3*6)\/(6*sqrt(588)*3*-6).\nAnswer: 3*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82 - -132. Let c = -49 + u. Solve 0 = -g - c + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(((-32)\/6)\/(-2) - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*y + 5, -3*y - 1 = -6*p + p. Solve 0 = h - 0*r - 4*r - p, 0 = 4*r for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*h - 62, -3*u = -4*u + h + 14. What is the remainder when (u\/(-15))\/(6\/(-15)) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21 - 1129a7?\nAnswer: -1129c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - 26. Suppose 2*o + 190 = 7*o - y, -3*y = -b. Calculate the remainder when 113 is divided by o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 625 (c) -6 (d) -2\/15 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 27, 12, -21, -78, -165?\nAnswer: -288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10378676551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 12:43 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3449 - -5814. Does 43 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 108098\/5757 less than or equal to 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 906a890?\nAnswer: 906a889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(343)*1 - (sqrt(343) + -1 + 1 + sqrt(343)))*-5)**2.\nAnswer: 308700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6961803 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 17*k**2 - 18*k - 28. Let t be r(19). Let a = t - 233. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3720361459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**34*r*r\/(r**(1\/11)\/r)*(r*r*r\/(r\/r**29))\/r**(9\/8))**15 assuming r is positive.\nAnswer: r**(88155\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64*b**4*r**3 + 2*b**2*r**3 - 2*b*r - 328*r**3 with respect to b.\nAnswer: 256*b**3*r**3 + 4*b*r**3 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**4\/12 - 5*q**2. Let h(s) be the first derivative of 0*s + 0*s**2 + 4 - 1\/3*s**3. Give w(h(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 96728648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*a**3 + 65*a**3 - 31*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2810, 6355, 10648, 15695, 21502, 28075?\nAnswer: 35420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 318 + (8 - 5) + -9. Solve z = -33*x - 45*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -6. Suppose -2*d = -o*d + 6. Let y(n) = 5 - 2 + 15*n + 5 - 10*n. Let x(c) = -4*c - 7. Determine d*y(m) + 7*x(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1093 is divided by 133.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5763, -11417, -17063, -22701, -28331, -33953, -39567?\nAnswer: -45173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 + 15*i + 30. Let f be m(16). Suppose -10*z = -f*z + 348. List the prime factors of z.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1289 and -178.2?\nAnswer: -229699.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 664109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 - 3)*(3*c**2 - 4*c**2 - c**2)*(1 + 3 - 1 + (2 + 3 - 3)*(-3 + 2 - 1)) to the form z*c + p*c**2 + m and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -208\/9 - -214\/9. What is the nearest to 3 in b, -4, 0.6?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 966 - 669. Suppose h - 2407596 = -2407578. What is the greatest common divisor of j and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 10 = -4*m - 0*q, 3*m - 5*q = -25. Suppose 4*u = v + 5*u - 2, m = -v - 3*u + 2. Suppose -5*s - x + 94 = 0, -3*x - v = s - 18. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -8) + 3 - ((11 - 2) + -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 576912.917 to the nearest one thousand.\nAnswer: 577000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*i - 166*i - 15645 = -5*i + 372*i for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 - 16*t**2 - 47*t - 224. Give i(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-36)\/16 - (-1)\/4. Let m(w) = -w**2 - w + 2. Let y(b) = -5*b**2 - 4*b + 11. Let a(f) = l*y(f) + 11*m(f). Suppose -3*x + 12 = -7*x. Determine a(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttmxxtxmtttx. Give prob of picking 3 x and 1 m.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/646 and (-556)\/40 - ((-10 - -17) + -15).\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 192*v**5 + 150*v**2.\nAnswer: 11520*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c + 14. Let g be o(0). Let t = -14 + g. Factor t - 1\/6*r - 1\/6*r**2.\nAnswer: -r*(r + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, y: 2, m: 5}. Give prob of picking 2 y.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 7:35 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 521 - 69 = 0. Let l = -123 - -125. Calculate the greatest common factor of l and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1557?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1432266 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*sqrt(308)*-1 - sqrt(308) - sqrt(308))\/((sqrt(126)\/sqrt(3))\/sqrt(6)))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -42221 (base 11) to base 12\nAnswer: -2b703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1561260?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-714)\/(-8))\/(18\/24). What is the greatest common factor of 28 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 0, 2*l + 202 - 930 = 2*p. Let y = -118 - p. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 747 is divided by 96?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-264)\/1*26\/39. Let f = l + 252. Does 27 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 738 - 737.9. Let k = 21 - 20.7. Let o = k - 0.3. What is the nearest to l in o, 1\/8, -5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 44*v**2 - 18*v. Let i(z) = 15*z**2 - 6*z. Let k(f) = 17*i(f) - 6*r(f). Determine s so that k(s) = 0.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4640 - -27967\/6. Let v = p - 65\/3. Let y be -1 - (-2)\/16*2. What is the second biggest value in y, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 25, 72*d - 2*p - 7302 = 68*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -91859, -91862, -91865, -91868, -91871?\nAnswer: -91874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = -4*i. What is the nearest to 2 in i, 2\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-10))\/(-1) + -1. Let j be 11\/(-9)*420\/770. Which is the closest to 0.1? (a) 0.1 (b) i (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.01 (b) 1\/4 (c) 2\/11 (d) -40 (e) -24 (f) -3\/7 (g) -1.7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bu when two letters picked without replacement from {i: 2, s: 1, b: 1, u: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11101212 + 10?\nAnswer: -11101202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 6:52 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - d + 2034 - 2017 = 0, 30 = 3*a + 4*d for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 1:52 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4251.999999678 + -4252. Round x to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -87?\nAnswer: -8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1, -29, -81, -163, -281, -441, -649, -911?\n\"Answer: -m**3 - 6*m**2 - 3*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 3. Let o(q) = -q**2 - 73*q - 730. Let j be o(-12). Solve -j*x = s*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**8\/126 + 31*r**7\/945 + r**6\/20 + r**5\/30 + r**4\/108 - r**2 + r. Let m(c) be the first derivative of u(c). Solve m(f) = 0.\nAnswer: -1, -1\/3, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13396020461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 12*d**2 + 18*d + 2. Let g = -104 + 115. What is the units digit of r(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + sqrt(1377)) + 1.\nAnswer: -3 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, w: 4, m: 4, r: 6}. Give prob of picking 2 w.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15 - 9 - (-348)\/(-57). Is -1\/2 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -29. Solve -5*y = -d*s + 5 - 0, -y - 2*s + 8 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3115109, 3115110, 3115111, 3115112, 3115113?\nAnswer: 3115114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -l - 19 - 10, -2*i = 2*l + 10. Let g(o) = o**3 + 11*o**2 - 12*o + 2. What are the prime factors of g(i)?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 524.9 from 19.4.\nAnswer: -505.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u - 15*z = -18*z + 4*z - 7, 0 = -3*z - 13 + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 969 and 323153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = 42*r - 762 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.8 - 5.6. Let j = c + 2.800041. Round j to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, u: 4, o: 3}. Give prob of sequence uu.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3293\/29832 + 17\/264. What is the common denominator of 37\/30 and m?\nAnswer: 6780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3872) - sqrt(3872)*-2)**2 + (sqrt(1152) - (-1 + sqrt(1152)))**2 + (-4 + (sqrt(1568) - -2*sqrt(1568) - sqrt(1568) - sqrt(1568)))**2 + sqrt(1568).\nAnswer: -196*sqrt(2) + 36433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 7*m + 8. Let r be c(6). Suppose -l + r = -0*l. List the prime factors of (3\/(-9))\/(l\/(-54)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11400 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 47629.2 and 0.07.\nAnswer: 3334.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/15)\/(8\/(-144)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38.42 - -39.32. Is s not equal to 135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g. Let a(p) = -p**3 + 6*p**2 + p - 2. Let b be a(6). Suppose b*j + 0 + 10 = -3*y, -4*j - 8 = 2*y. What is m(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z + 42. Let i be l(-20). Suppose 3*h - 53 = -5*x, 2*h + i*h = -3*x + 56. What is the remainder when ((-40)\/(-1))\/(4\/4) is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5378 and -3.\nAnswer: 16134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 51 = 60. Let i be -3 - (j - 9 - 0). Solve 2*d - 2 = -4*l, i*d - 4*d + 5 = l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(3645) + sqrt(3645)*-1 + sqrt(3645) + sqrt(3645))\/(sqrt(225)*-3)*-3)**2 + 4.\nAnswer: 344\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5952*f**3 - 8076*f**2 wrt f.\nAnswer: 35712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 26796, -21, -1 in descending order.\nAnswer: 26796, -1, -21, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 0. Let i = -2 + g. Let b = 117\/2 - 292\/5. What is the closest to 1 in i, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-591)\/(-394)*(-2 - -1)\/15 + (-106)\/20?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -505, -493, -485, -481?\n\"Answer: -2*l**2 + 18*l - 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, a: 1, f: 1, z: 2, x: 1}. Give prob of picking 1 a, 1 x, and 1 z.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 2:06 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2 - 3 - l + 2. Let b be z(-1). Suppose -b*n + 36 = -n. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 11948.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.278361871 + 2.49.\nAnswer: 2.211638129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 5*n + 37, a + 5*n = -2*a - 7. What is the lowest common multiple of 2 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, n: 7}. What is prob of picking 2 n?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 602866*n**2 - 138855*n + 4 wrt n?\nAnswer: 1205732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10809 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1444, 4484, 9770, 17302?\n\"Answer: 1123*r**2 - 329*r + 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 157 + (-2 - -3)*-2. Let r = b + -339. Let k = -82 - r. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1900 - 1897. Calculate the least common multiple of 1078 and b.\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + 5*h - 3*h)*(3*h - h + 3*h) + 31*h + 2*h**2 - 31*h + (h**2 - h**2 - 2*h**2)*(-1 + 0 - 3) + 0*h**2 - 2*h**2 + h**2.\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553 is divided by 112?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k**3 - 3*k**3 + 26*k**3)*(0 + 1 + 1) - 25*k**3 + 12*k**3 - 24*k**3 - 23*k**3 to the form h*k**3 + d*k + g + j*k**2 and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 7. Suppose -4*g + 0*g + 68 = 4*d, n*d - g - 73 = 0. What is the remainder when d is divided by 12\/(((-25)\/(-30))\/(20\/36))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-3)*6\/(-20)*15?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 12. Calculate q(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k. Let w(l) = -62*l**2 - 8*l + 8. Let m(u) = 61*u**2 + 6*u - 6. Let x(h) = 4*m(h) + 3*w(h). Give y(x(j)).\nAnswer: -116*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*n**4 + 11*n**4 + 29*n**4)*(0 + 3 - 2)*(0 + 0 + 3) + (3*n**2 - 2*n**3 - 3*n**2)*(n - 3 + 3).\nAnswer: 205*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 22.73614 + -1.47\nAnswer: 21.26614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -66*j - 117. Determine o(-6).\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((-153)\/136) + (-104)\/(-12).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 9*u**2 - 1. Let q be k(-1). Solve q = o - 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222442697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1075865 is divided by 82755.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 5*q**2 + 6*q - 8. Suppose 15 = -s + 4*s. Let y be a(s). Let p = y + -122. What is p rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 12 = 2*r. Let q = 14 - r. Solve -4*i + q = -12 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 50198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17602 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 3*h**2 - 2*h - 13. Is v(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 8*o + 1 = -u, -2*u = o - 7 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*f**3 + 0 - 120*f**3 + 0 - 10*f**3 - f in the form u*f + h + w*f**2 + g*f**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 75877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-102)\/68 - ((-29)\/2 - 1). Let s(w) = -w**3 - 2*w**2 + 2. Let a(k) = -2*k**3 - 7*k**2 + 7. What is m*s(r) - 4*a(r)?\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(125) - ((-1 + sqrt(125) - sqrt(125)) + 1)**2) - ((sqrt(5) - (sqrt(140)\/sqrt(4))\/sqrt(7)) + sqrt(605)*-2)*-2.\nAnswer: -39*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48401829?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14867 - 14870. Which is the closest to 0.2? (a) 0.1 (b) 0.025 (c) p (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23822436 greater than or equal to -23822436?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 153934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by 23702.\nAnswer: -29\/11851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 10:09 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7916?\nAnswer: 2, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.33 and -19.2.\nAnswer: -83.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -1. Let u be (v - 3 - 0) + -1. Let t = -0.6 + 0.9. Put u, t, 0.4 in increasing order.\nAnswer: u, t, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -46*o**3 + 28. Let t(h) = -138*h**3 + 85. Let p(u) = 7*r(u) - 2*t(u). Differentiate p(c) with respect to c.\nAnswer: -138*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 0.1, -6, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 140600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**5\/2 - 1643*u**4\/2 + 27705*u**3\/2 - 102357*u**2\/2 - 65853*u = 0.\nAnswer: -1, 0, 9, 1626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5 = w, w + 2*a - 5 = a. Suppose -2*x + 8 = 0, -m + 3*x = 8 + 4. Suppose m = u - w*u + 1800000. What is u rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 301 + -297. Solve -s - 6 = -3*i, -2*i = -n*s + 5 + 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3109141 millennia to centuries.\nAnswer: 3.109141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (265*w + 260*w - 792*w + 2 + 266*w)*(-3*w**4 + 0*w**4 + 2*w**4).\nAnswer: w**5 - 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 282222*q + 30*q**2 - 282220*q + 21*q**2 - 17*q**2 - 3. Determine h(1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 1 = r + 5*u, 5*u = -5*r + 35. Let b be 13\/(-4) + r + (-651)\/(-28). Calculate the greatest common factor of 23 and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a + 2. Let v = 9 - 27. Suppose 0 = 8*u - 13*u + 30. Calculate the least common multiple of b(v) and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/6)\/((-2)\/12). Let l(g) = g**2 - 8*g - 10. Calculate l(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-22) - (-7296)\/33440\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-12))\/((-33)\/88).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 299 + 65. Let g = -368 + q. What is the nearest to -1 in -1, -9, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5015248 and 5488?\nAnswer: 35106736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1 + 14*x**2 + 3 - 3 - 13*x**2 + 2*x - 2*x**3. Suppose 2*n - 2*y + 0*y = 0, -3*y - 4 = -5*n. What is c(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1. Let i(l) = -l**2 + l + 18. What is the units digit of i(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 118701207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p. Let x be y(-1). What are the prime factors of (x\/3)\/((-4)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 78.84999 millilitres?\nAnswer: 0.07884999","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 72*n**2 - 223*n + 155. Let q be c(-75). Let k(r) = -6*r**3 - 9*r**2 - 5*r + 5. Let t(j) = j**3 + j**2 + j - 1. Determine q*t(s) + k(s).\nAnswer: -s**3 - 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -504, -1196, -1888?\nAnswer: -2580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 823*l**3 + 714.\nAnswer: 2469*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -5, -8, -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n = 86 + 58. Let y(q) = q**3 - 9*q**2 + 10*q - 15. Let d be y(n). Solve -5*p = -6*p - d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030\/80 - 7\/(-56)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 5*d - 2*p + 8, -p + 1 = -2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2636711260?\nAnswer: 2, 5, 23, 5731981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*h - 28, -4*h = 7*l - 3*l + 32. Let o(r) = -2*r**2 + 9*r - 12. Let t be o(l). Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 + 5*f - 278. List the prime factors of k(25).\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5895905019 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7389428 bigger than 69\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1, -18, -4, -1658 in ascending order.\nAnswer: -1658, -18, -4, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b - b - b + 2*b. Let u be (-1)\/(-3)*6*1. Let s(v) = -u*v - 6*v + 2*v. What is g(s(c))?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -199 + (-10283)\/(-33 + -80)?\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.809 rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147164 is divided by 33?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 276378*m + 3 + 2 - m**2 - 276378*m.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r + r - 16*r**2 + 23 + 52*r**2 + 6*r**2. Let w(u) = 14*u**2 - u + 7. Let g(n) = -7*w(n) + 2*z(n). What is the second derivative of g(b) wrt b?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 11) in base 3?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6*-9 - -27. Let o = n + -28. Let -8\/11 + 24\/11*j + 12\/11*j**3 - 2\/11*j**4 - 26\/11*j**o = 0. What is j?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -15*b**2 + 10. Let g(f) = -13*f**2 + f + 9. Let y(t) = -4*g(t) + 3*n(t). What are the prime factors of y(10)?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1568458 to the nearest integer?\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1120305 to the nearest integer?\nAnswer: 1058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4323 - 4322. Suppose 0 = -4*q + 3*s + 23 + 16, 5*q - 66 = -2*s. Let w = 29 - q. What is the smallest common multiple of w and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2614, 10246, 22954, 40732, 63574, 91474?\n\"Answer: -y**3 + 2544*y**2 + 7*y + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-8) + (-35)\/(-20). What is the derivative of -9 - 75*l + 2*l**x + 75*l wrt l?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15194 + -15192.8. Which is the nearest to -6? (a) g (b) 0.4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g - 22*g - 5*q + 25 = -7*g, 8*q + 33 = -2*g + 7*q for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 5*t + 2. Suppose -2*h + 188 = t*h. Let d = -55493 - -55634. What is the greatest common factor of h and d?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 726, 37, -2, -5 in descending order.\nAnswer: 726, 37, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 2\/15*y**6 + 0*y**2 - y - 1\/4*y**4 + 0 + 0*y**5 + 0*y**3. Find the third derivative of h(n) wrt n.\nAnswer: 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 979484493 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5 + sqrt(65)\/sqrt(5))**2 + (1*2*sqrt(13)*-1)**2.\nAnswer: 18*sqrt(13) + 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -74 + 74 + 15*t**3 - 3*t**3 + 7*t**3 + 2*t**3 + (0 + 0 + 2*t)*(-t - 2*t**2 + t) + 3*t**3 + t**3 - 2*t**3 + 3*t**3 - 2*t**3 + 0*t**3.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 34*v**3 - 29*v - 17. Let i(x) = 11*x**3 - 10*x - 6. Determine -17*i(t) + 6*o(t).\nAnswer: 17*t**3 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/6 in -4, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9977.993742 - -9978. What is m rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 7*q + 14. Let l be (-2)\/q + (-200)\/(-35). Solve 2*z + m + 0*m - l = 0, -4*z + 24 = -m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 - 6*v**3 + 2*v**3 + 2*v)*(190 - 78 - 14).\nAnswer: -98*v**3 + 196*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 8 - 17 = 0. Suppose n - 9 = -3*a, n + 3*a = q*n - 21. What are the prime factors of 12\/8*1*n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 467, 1, -5 in descending order.\nAnswer: 467, 1, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x**2 - 148*x + 8. Let k(m) = m**2 - 37*m + 2. Let t(r) = 2*f(r) - 9*k(r). Does 23 divide t(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1481870314 and 1694.33?\nAnswer: 1481872008.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + -83611?\nAnswer: -83605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 6*g + 22. Let a = 20 + g. Calculate the highest common factor of a and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24521 is divided by 12106?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -57, 5, 23 in decreasing order.\nAnswer: 23, 5, 1, -3, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.26 in 0.2, -15, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6938483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 1714*g**3 + 3488*g**2 + 1834*g + 60 = 0.\nAnswer: -1, -30\/857","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8650361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -34, 3, 0.4, 3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-144)\/(-84))\/(7\/(-49) - 0). Let s(f) = f - 13. Let b(m) = -4. What is p*b(u) + 4*s(u)?\nAnswer: 4*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-5))\/(((-24)\/50)\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 8*v + 2. Let z be 2\/5*5 + -10. Let w be h(z). Solve -w*t + t - 4*o - 13 = 0, -2*o - 8 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 12*k - 20. Let m be g(10). Let z = -20 - -26. Suppose 3*o + y = 1, 0 = -5*o + y - z*y - 15. Solve m = -7*r + o*r - 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 5*d + 2. Let b be f(5). Let n(c) = -10*c + c**2 - 5 + b - 7. Let s be n(11). Solve 3 = -3*z + 3*v, 3*z + 2 + s = 5*v for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -312*j - 9977. Let k be r(-32). Solve -m - k = -2*a + 4*a, -a = 3*m - 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17*r + 452 + 411 + 485)*(-3 + 6 - 4) to s + x*r and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r**2 + 148*r. Let p(c) = 10*c**2 - 443*c + 1. Determine 2*p(n) + 7*x(n).\nAnswer: -n**2 + 150*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -17\/44546365?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 196\/(-6)*60\/(-14). Suppose -5*n - o = -12*n. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 7*t**5\/120 - t**4\/6 - t**3\/3 + 91*t**2\/2 - 20*t. Let j(d) be the second derivative of g(d). Give j(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 10*u**2 - 11*u - 6. Suppose 2*a = 5*g + 42, 4*a - 3*g = 2*g + 64. Let h be d(a). Let w = h - -20. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7*j + 107 = -4*j, 0 = -j - 3. Which is smaller: c or -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2)*40\/12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3622 * 117\nAnswer: -423774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 5*q**4 + 40*q**3 + 105*q**2 + 110*q + 40 = 0.\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7663.668kg?\nAnswer: 7663668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)*v)\/(v**5*v*v)*v**(-1\/4)*v**(4\/3) assuming v is positive.\nAnswer: v**(-71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 3*f - f - 21, -f - 21 = 2*d. Let i be 2 + (-3)\/(d\/39). Suppose -g + 6*g = i. What is the lowest common multiple of g and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*(936\/27)\/(-13)*5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 7*u**6\/6 - u**4\/2 - u**3\/3 - 514*u**2 - 195. What is the third derivative of l(b) wrt b?\nAnswer: 420*b**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36636277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 8:16 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 9*f**2 - 2*f**2 - 24*f**3 + 18*f**2 - 21*f**3. Let b(a) = 11*a**3 - 6*a**2. Determine 25*b(z) + 6*n(z).\nAnswer: 5*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 6*s - 280. Suppose -j = -32 - s. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 11:58 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -48 (b) 0.165 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220 - 218 - (-4)\/(-2)*-122?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 22, -3\/10, -0.5, -3, -2\/9, -2\/63?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -576.34\nAnswer: -575.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1001001111010110111 (base 2) to base 14\nAnswer: 7c4ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1294*u + 2*u**2 + 1294*u.\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 56*s**2. Let u(v) = -53*v**2 - 1 + 49*v**2 - 2 + 3. Determine u(j(z)).\nAnswer: -12544*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j**2 + 21*j + 10. Let d be l(10). Suppose 4*i = -4*i + d. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -74?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**5 + 610*g**4 - 6300*g**3 = 0. Calculate g.\nAnswer: -315, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6 + (-1)\/(-3). Let d(w) = 36*w + 1. Is d(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -730, -5970, -20192, -47884, -93534, -161630, -256660?\n\"Answer: -748*g**3 - 3*g**2 + 5*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 896915 and -0.3.\nAnswer: -269074.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594*t**4 + 9025*t - 4044*t**2 - 593*t**4 + 191*t**3 + 13259*t**2 = 0 for t.\nAnswer: -95, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*o + 21 + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.159 + -0.0845\nAnswer: 0.0745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - f - 9 = 3*u, 0 = -2*f - 6 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37785553 (base 9) to base 2.\nAnswer: 1000110101110000110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 34240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 4*u - 12, -6*u - 12 = -14*c + 15*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 5\/(-190)*232?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7378937*f = -7379739*f + 104260 for f.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.44 times -21?\nAnswer: 807.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 722, 720, 718?\nAnswer: 716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + h**2 - 14*h - 1. Calculate r(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 154964062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103.47 - -102.4818. What is o rounded to 2 dps?\nAnswer: -0.99","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1415 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -42*d**2. Let a(q) be the first derivative of -q**2\/2 + 15. What is a(u(r))?\nAnswer: 42*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9939 - 0.0061. Put 6, i, 2 in decreasing order.\nAnswer: 6, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/591058 and 87\/2794.\nAnswer: 6501638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -269.1?\nAnswer: -1614.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -25759373?\nAnswer: 15\/25759373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 190 - 197 - (87\/74)\/((-9)\/54).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 6 = o - 13, 0 = s - 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 110, 180, 266, 374, 510, 680, 890?\nAnswer: 1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1184*o - 3357*o - 1635*o = 59094 + 101482 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 869 - 343*n**3 - 9*n + 7*n - n**2 - 869 as y*n + s*n**2 + u + a*n**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2415*g = -2492*g - 308 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5307199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/12)\/(190\/114).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2185427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vqq when three letters picked without replacement from qvqvqvqvvqvvqq?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*k + 2910 = 194 - 180 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -84.04475 - 4.665719\nAnswer: -88.710469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 + 51. Let o = 58 + v. What is the highest common divisor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 20 = 0, 0 = k + r + 19 - 12 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 10, 2*r = -10*v + 9*v + 2944. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 794641 is divided by 3471?\nAnswer: 3253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9650.8633 rounded to the nearest one hundred?\nAnswer: -9700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/126 - (-30)\/(-14). Put p, 0, 5 in decreasing order.\nAnswer: 5, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 76*f = -73*f - 7, -r - 2*f + 8 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51407 - 14204. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/1320 and -41\/840.\nAnswer: 9240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13*0.148.\nAnswer: -0.01924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-22)\/(-10) - 1)\/(171\/1140). Suppose 27*w - 190 = x*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**2 - 3*y. Let f(c) = 15*c**2 - 10*c. Let b(l) = 3*f(l) - 10*g(l). Let j(i) = -i. Calculate b(j(p)).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - -81. Let a be ((-15)\/4*(-66)\/110)\/((-12)\/(-48)). Suppose 0 = 13*s - a*s - g. Solve s = 4*z - 4*d, -z - 13 - 4 = 5*d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (1 - (-3 - 0)) - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -6 - 9 + 2 - 14*a**2 - 14*a + a**3. Let j be n(15). Suppose 0*p + 0 + 0*p**j + 1\/3*p**4 - 2\/3*p**3 = 0. Calculate p.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3058707557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*62\/(248\/42).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1069.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 840\/150 + 6\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 - 119. Let z(s) = 163670*s. Calculate b(z(l)).\nAnswer: 53575737800*l**2 - 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*y**3 + 0*y**4 - y + 0*y**4 - 4*y**3 - 2*y**4 as v*y**3 + c + u*y**4 + k*y**2 + p*y and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -551*i - 168222. Calculate r(-305).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/3036200 and -7\/2000.\nAnswer: 30362000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3 - 19 = 0. Suppose -j*a = -5*y + a + 850, 0 = -2*a + 2. What is the greatest common divisor of 19 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24729703*o**4 - 44935471*o**2 wrt o.\nAnswer: -593512872*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4233389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3\/7 + 34540*r**2\/7 - 4788000*r + 7723350000\/7.\nAnswer: 4*(r - 450)**2*(r + 9535)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-1)\/(-3))*-131. What is the common denominator of (-2)\/8*m\/(-18) and (59\/((-45430)\/546))\/((-2)\/5)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3003665853?\nAnswer: 3, 1001221951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215*t - 1157500 = -3496485. What are the prime factors of t?\nAnswer: 11, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.16, 0.1, 0.3, -1161?\nAnswer: -1161","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/4*(2 + 2). Let f = -8 - -7.2. Let r = -0.164 - -0.264. Put i, r, f, -0.1 in decreasing order.\nAnswer: i, r, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 4*w**2 + 2*w + 5. Let o be s(4). Let f(a) = -a**3 - a. Let n be f(-1). Factor q**5 + 2*q - 3*q**5 + 9*q**4 + 4*q**n - o*q**4.\nAnswer: -2*q*(q - 1)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - f + 2, 5*d - 4*f = 2*d + 20. Let h = 10.9 - 10. Let l = h + -0.6. Which is the nearest to 0? (a) d (b) l (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 34 in ascending order.\nAnswer: -2, 1, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - ((1 - 2) + -1). Let l be (-12)\/(-70)*(-10)\/q. Let h = -2 + 1. Sort l, 3\/8, h.\nAnswer: h, l, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 187 = -1087. Is h a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 1160*a**2 - 14*a + 23. Let l be p(2). Suppose -6*j - b = -3*j - 2792, -5*j + l = -2*b. List the prime factors of j.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000314279283 to 7 decimal places.\nAnswer: -0.0003143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -5 - -86) + -15 + -8 + -3\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -433108 divided by -26\nAnswer: 16658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**4 - 1. Let t(c) = 13*c**4 + 2*c**2 - 41*c + 3. Let u(b) = 3*a(b) + t(b). Find the second derivative of u(i) wrt i.\nAnswer: 192*i**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -13*y. Let l(v) = -v. Let b(z) = i(z) - 2*l(z). Let n be b(1). Let o = 9 - n. Solve -3*c = c - o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68315222 to the power of 1\/4, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -1\/5*l + 0*l**4 + 0 - 1\/5*l**5 + 2\/5*l**3 + 0*l**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*((sqrt(19) + -1)*-3)**2 + 3.\nAnswer: -108*sqrt(19) + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 5*d**2 - 9*d - 4. Let l(i) = 2*i**3 + 10*i**2 + 19*i + 9. Let h(u) = 9*b(u) + 4*l(u). Calculate h(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 1. Let i(y) = -10*y + 22. Let r be i(2). Let s(a) = -2 + 4 + a - 2*a. Let x(j) = r*s(j) - 5*q(j). Differentiate x(g) with respect to g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.147 and 26.59.\nAnswer: 3.90873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/81, 3, -4\/5, -60, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -234.6 + 216. Let r = 19.37 + g. Let o = -0.5 + r. Round o to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 3:17 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*d + 3*d - 20, d - s = 8. Calculate the greatest common factor of 292 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + 363\/(-22) - -2*((-45)\/(-6) + -5)?\nAnswer: 53\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 4*h**2 - 2*h + 4. Let y be c(-3). Suppose -65*o + 36 = -224. Let v = 13 + -18. Sort y, v, o, -4 in descending order.\nAnswer: o, y, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 10*u - 16. Let m be b(6). Suppose 12*n = m*n + 12. Solve -3*q - 2 = -q + n*a, 0 = -2*q + 5*a + 30 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 5:28 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + 0*w = -0*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 3*v**2 + 5*v + 6. Let b be a(-2). Solve b = 3*l + l - 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3319, 16161, 37555, 67495, 105975?\nAnswer: 152989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -10*c**2 + 4*c + 15. Let u(q) = -5*q**2 + 2*q + 8. Calculate 3*k(v) - 5*u(v).\nAnswer: -5*v**2 + 2*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 10:58 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 5, -1, 821?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10111022220 (base 3) in base 2?\nAnswer: 10000110010011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*j + 4 = 0, -3*o = -3*j + 6 + 27. Let k = o - -24. Solve -k*f = -5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143612044 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/9*(10 - 1). Suppose 6 = z*r - 60. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (0 + sqrt(300))) + sqrt(300) + 1 + 2*sqrt(300) + 0)**2.\nAnswer: 60*sqrt(3) + 2701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -103*h**5 + 85*h**3*w**2 - 2137*h**2*w**2 wrt h.\nAnswer: -6180*h**2 + 510*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*d**2 + 3 + 1 - 4 as h*d + x + z*d**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*g - 4. Let o(r) = r**2 - g*r**2 + 8 - 13 + 0*r**2 - 6*r. Give o(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-198)\/(-24))\/33*12\/327)\/(-1).\nAnswer: -1\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q - 30. Let n be k(-6). Suppose -22*d + 17*d + 1125 = n. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 + (-31 - 0) + -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 55 = -5*s, 67*d = 5*s + 66*d - 13. Solve -s*w - 22 + 26 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 - 2*z**2 + z - 5. Let v be m(-6). What is the highest common divisor of v and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of 0 - 2\/3*d**3 + 0*d - 17*d**2 - 1\/24*d**4. What is w(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37071485 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8492*z - 8490*z + 8, 69*z - 68*z - 11 = 5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*x - 2144 = -0*x, 1056 = l - 3*x. Suppose -57*v - l = -53*v. Round v to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -367 + 681\/2. Let x = 26 + r. Which is the nearest to 1? (a) -1 (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 5*p = -16, -824 + 820 = -4*t + 5*p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pynqyprnrrzpypp. What is prob of picking 1 r and 1 n?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4*m + 44. Let n be (2 + (-15)\/10)*-14 + 1. What is the remainder when 76 is divided by t(n)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(((w\/w**5)\/w*w)\/w)*w**17\/w assuming w is positive.\nAnswer: w**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 27526848298 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*d - 3, 0*s - 4*s - d = -41. Suppose 2*v + 4*n - 84 = 34, -2*v + 2*n + 124 = 0. Let z = v - 59. Calculate the remainder when s is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8690, 17377, 26064, 34751, 43438, 52125?\n\"Answer: 8687*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -35. Let n = -66 + 70. Solve 6*w = w - x, 0 = 3*k + n*w + 16 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -19 - (3 - (3 + -6) - 1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, -0.2, 5, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 1.07\nAnswer: 3.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 8*l + 18 = 0. Suppose -a - 3686 = -l*a. Let s = 443 - a. What is s rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 56 = -2*n, 6*l = 7*n + l - 40 - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -8*t**2 - 4*t - 5. Let v(l) = 12*l**2 - 2*l + 5. Let y(u) = 5*u**2 - u + 2. Let g(h) = 3*v(h) - 7*y(h). Calculate 5*g(s) + p(s).\nAnswer: -3*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/29484 and 101\/49140.\nAnswer: 147420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6*g - 3. Let y be v(-1). Suppose 0 = -y*p + 5*p - 74. Let h = p - 29. Solve -f - f + h = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 7*w - 9. Give g(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (1 - 0 - 1). Let x = u - -6. Suppose -5*k + x*t + 136 = 0, -4*t - 40 = -0*k - k. Does 24 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114219106 rounded to the nearest one hundred thousand?\nAnswer: 114200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40, 85, 138, 199?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-95528.84\nAnswer: -19105.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 90*r**5 + 2*r**2 - 88*r**5 - 18*r**3 - 12*r**2 - 6*r**4 = 0?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -1.9. Let i be (-14 + 2)*(-1)\/(-34). Let f = 61\/68 - i. What is the second biggest value in n, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 64*n + 1. Let v(y) = 449*y + 2836. Give -7*g(m) + v(m).\nAnswer: m + 2829","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -4, -3 in ascending order.\nAnswer: -11, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from ppvpppvvppvpvppgvp?\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -104031224 - 4?\nAnswer: -104031232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 12 + 58*m**2 - 49*m**2 in the form z + f*m + y*m**2 and give z.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -9*z - 1. Let x(f) = -2*f - f**2 + 1 + f**2 - 2*f**2 + f. Let o be x(-2). Calculate the remainder when p(o) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 29548 and 32?\nAnswer: 236384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -63479636*i**2*t**2 - 3265*i**2*t + 141*i**2 + 10*t wrt t?\nAnswer: -126959272*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 35 + -1722363\nAnswer: -1722328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.15766578 to 2 decimal places.\nAnswer: -55.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 627 by 19.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c**2 + c + 4. Let t(y) = 7*y**2 + 2*y + 9. Let q = 54 + -56. Let p(f) = q*t(f) + 5*j(f). Let l(x) = -x**2 - x - 2. Calculate -3*l(z) - 4*p(z).\nAnswer: -z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 32*o - 37*o - 23, -5*o - 20 = 0. Factor 0*h**2 + 69*h**4 - 68*h**4 + h**2 + 2*h**2 + 5*h**k - 5*h - 4.\nAnswer: (h - 1)*(h + 1)**2*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.2 or -29.01?\nAnswer: -29.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*t - 611, -5*t + 574 = 3*r - 199. What are the prime factors of (-84)\/t - (-18316)\/22?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1808073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75 + 75 - 69*d)*(-121 - 56 - 6 - 14 - 11)*(-2 + 0 + 1).\nAnswer: -14352*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -39*m - 104. Suppose -37 = 4*n - 5*b, -n + 4*n + 24 = 3*b. Give j(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -109, -230, -389, -580, -797, -1034, -1285?\nAnswer: -1544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 2*p - 752*p**3 - 282*p**3 - 476*p**3.\nAnswer: -1510*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhhhhxhhhhxhhhhhhxh. What is prob of sequence xhx?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**2 - 13*i**2 + 29 - 15 + 25*i**2 - 6*i**2.\nAnswer: i**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 110 - 34 - 295*k - 36 - 40 to s + p*k and give p.\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/1380540 and 97\/28853286.\nAnswer: 288532860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17740676, 35481389, 53222102, 70962815, 88703528, 106444241?\n\"Answer: 17740713*t - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -47 + 37 + 0 + (0 + 3 + 0 - 4)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 1, -3\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-1815) + (-1524)\/(-92202)?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3831 + -3828. Put -12, 2, v, -2 in increasing order.\nAnswer: -12, -2, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 3:20 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9521, -18747, -27983, -37235, -46509, -55811?\nAnswer: -65147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4926719.\nAnswer: 7, 17, 19, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 v when two letters picked without replacement from pkvvvkpvkppppp.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-3700))\/((-662)\/1655)\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -19*y**3\/3 + 7*y**2 - 10. Find the second derivative of d(z) wrt z.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 679a6 - -9?\nAnswer: 679b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 31*j + 1261, -6*y = -45*j - 46*j + 87*j - 194 for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*w = 146*w + 3780 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -724, -1466, -2234, -3028, -3848, -4694, -5566?\nAnswer: -6464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c8c559 (base 14) to base 15.\nAnswer: -8e35d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.4 + -7. Let r = -1.1 + j. Sort -3\/4, r, -2.\nAnswer: -2, -3\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 654133 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 298357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -18207 divided by 3?\nAnswer: -6069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 - 446595*y**2 - 4465725*y - 11164125.\nAnswer: -3*(y + 5)**2*(y + 148855)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - (-1 + 0 - -1). Let i(m) = -4*m - 2. Let v be i(y). Suppose 13 = -28*o + 97. Solve v = -o*z - 6, -3*z = -3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-2*(-1)\/(-4)). Let r(f) = -f + 1. Let q be r(h). Let i = -1208 - -1204. Sort i, q, -1.\nAnswer: i, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38667 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139249684 a multiple of 699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5277456087?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -4*n - 4. Let z(k) = k + 3. Let y(s) = 9*s + 30. Let g(t) = -2*y(t) + 21*z(t). Let p(a) = -6*g(a) - 4*j(a). Does 3 divide p(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11278486 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = u - 5*i - 7, -5*u + i + 62 = 0. Let r(a) be the first derivative of a**2\/2 + 9. Let n be r(u). Solve 0 = 5*p - 32 + n for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00099103157 rounded to four dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 43643 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: Rearrange -5 + 41*c**2 - 8*c + 10*c + 5 to x*c + d*c**2 + h and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6507, 6513, 6529, 6561, 6615, 6697, 6813?\nAnswer: 6969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**3 - 86*i**2 + 43*i + 3. What is k(-29)?\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6179*n = -6219*n - 3160 for n.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.17 or 36.2633?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/166056 and 87\/518.\nAnswer: 1162392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 154 - 106. What is the remainder when z is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 6345887\nAnswer: -4\/6345887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 107*z**2 + 908*z - 1392. What is a(-115)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 4*d + 38, 3*d = 6*d + 15 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13477 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 2. Suppose j = o*j. Suppose y - 4 = -0*y. Solve u - y*a = 6*u + 36, -4*u + 3*a - 4 = j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x**4 - 3*x**4 + 4*x**4)*(-131 + 93 + 11 - 204 - 317) in the form h*x**4 + i*x**3 + c*x**2 + m + b*x and give h.\nAnswer: 1096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1)**4*y**8*y\/(y\/(y**10*y)*y))**36 assuming y is positive.\nAnswer: y**792","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = r - q, 0*r - r + 7 = 4*q. Let s(j) = 3*j - 2. Let u be s(r). Determine k so that -u*k**4 + 3*k**3 + 3*k**2 + 4*k**4 - 4*k + k = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 - 3 + n**2 + 3*n + 6*n**2. Let o(x) = x**2 - 7*x + 3. Let d be o(6). Let u(h) = 24*h**2 + 14*h - 14. Give d*u(k) + 14*f(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 182 = u, -6*u + 206 = y - u. Calculate the greatest common factor of y and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369514?\nAnswer: 2, 47, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.4 (b) 5 (c) -81 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 2:45 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 79) + 62 - 1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 16*k - 840. Let i = -59 - k. Solve -y - i = -2*p, 15 = -2*y + 5*p - 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 + 17 - 17 + 0*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -20*r. Let g(z) = -40*z. Calculate h(g(p)).\nAnswer: 800*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -7. Let w(j) = -j**3 + 3*j**2 + 4*j + 4. Let r be w(4). Let s = r + -4. Solve -u = -3*u - i - 12, s = -u + 4*i + z for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/2852084751?\nAnswer: 2\/2852084751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1897.6 + -1465. Let q = -433 + x. What is the third smallest value in 5, q, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -19, 1\/4 in increasing order.\nAnswer: -19, -5\/2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 2 + 4. Calculate the remainder when 1\/(p + 19\/(-10)) is divided by 7\/2*60\/35.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(2\/3)*k))\/k**1)**5 assuming k is positive.\nAnswer: k**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/9)\/((-258 - -144)*(-2)\/9)?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from qrrrrqq.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - -7 - (3 - 1)) + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (12 + -14 + (0 - 0) + -687 + 697)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, 4, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*k**2 + 0*k**2 + 5*k**2 + (5*k - 5*k + 2*k)*(-2*k + 0 + 0) + 2*k**2 + 0*k**2 - 4*k**2.\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1055 by -1462.\nAnswer: 1055\/1462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eoooeeeoeeooo. Give prob of sequence eoe.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/39 + 22048\/(-1352).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -2 + 6 - 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*f + 46 - 2, 0 = -5*s + 4*f + 116. Let b be 1*(-3)\/((-15)\/s). Suppose 0 = b*x - 0*x - 24. Calculate the remainder when 88 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1206 - -1752. List the prime factors of b.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -10*o**2 - 350*o + 2777. Determine d(-42).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**5\/20 + 5*v**3\/6 + v**2 + 5*v. What is the tens digit of y(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-4 - (-5 - -3)) + 21 - 5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2787 - -18340. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d**2 - 6*d**2 + 15*d - 26*d + 11*d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 847\/45 - 93\/5. Let u = -1.43 + -0.07. Let g = -1.3 - u. What is the nearest to m in -1, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -409.7249 rounded to the nearest 10?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12034 (base 6) to base 15.\nAnswer: 7ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 6. Give r(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02 and 15341509.\nAnswer: 306830.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 85036877 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60*0.057.\nAnswer: 3.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - -19) + -3 + 2 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3*8\/24)\/(4\/4). Let j = 4 + -1. Let f(h) = 2*h. Let c be f(-2). Put u, 6, c, j in ascending order.\nAnswer: c, u, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -7*l - 2*u, -l + 2162 - 2179 = -2*u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.5, 2244, 2\/19, -4, -5 in decreasing order.\nAnswer: 2244, 0.2, 2\/19, -0.5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5809637.\nAnswer: 67, 86711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysyyrysrs. What is prob of picking 1 s, 1 r, and 1 y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 591*r = -587*r + 1130*r + 2640 for r.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of r**5\/60 + 2*r**2 + 12*r. Let q(y) = -55*y**2. What is q(m(h))?\nAnswer: -55*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of k**6\/360 + k**5\/360 - k**4\/72 - k**3\/36 + 8*k**2. Factor s(n).\nAnswer: (n - 1)*(n + 1)*(2*n + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -85*u**4 - 4*u**3 - 1 + 170*u**4 + 2*u - 87*u**4 - 3 in the form z*u**2 + w*u + j*u**4 + p + g*u**3 and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(20\/(-2)))\/(140\/(-175))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 5149\/15 and 343 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1040 = 738*a - 686*a for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1265 and 1.\nAnswer: 1266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (4*(sqrt(1088)*2 + 3) + 5*(2*sqrt(1088) + 1))*-3)**2.\nAnswer: 40608*sqrt(17) + 3174817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 220747618 divided by 31535374?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + -16)*(-1 - -2). Let w(l) = -l**3 - 14*l**2 - 7*l + 42. Let s be w(i). Let g be 0 + 2 - (-2)\/(-1). Which is smaller: s or g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -u - 7 - 0, -4*u = -4*c - 32. Let m be -1 - 2*u\/(-1). Suppose 35 = 3*n + m. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 9.2, -5, 0.08, -30, -11?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13522769300 rounded to the nearest 1000000?\nAnswer: 13523000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 13*d - 1. Let c be n(1). Let q = 8 - c. Let j be (q\/(-3))\/((-2)\/(-45)). Calculate the highest common divisor of 10 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110033122300 + -101?\nAnswer: 110033122133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*v**2 - 2*v**2 - 2*v**2)*((0 + 0 + 1)*(2 - 7 + 3) - 1 - 1 + 1 + 4 - 2 - 3 + 2 + 4 + 9) - 26*v**2 + 17*v**2 - 67*v**2 to m + h*v**2 + k*v and give h.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 883 and 0.405185.\nAnswer: 357.778355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 b when three letters picked without replacement from {b: 4, f: 8, t: 8}?\nAnswer: 28\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 - 17 - 2*h**2 - 3 - 87*h + 99*h. Calculate the remainder when 33 is divided by k(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*0.04532\nAnswer: 0.09064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*a = -174*a + 55*a + 3671655. What is the thousands digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 2177451506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13478 - 40c4?\nAnswer: d394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 4*c - 8 = -3*m, 9 = -5*c + 4*m. Let a(o) = 4*o**2 + 2*o + 1. Let j be a(c). Suppose 0 = 5*y - j*q - 2 - 3, -5*y + 15 = -q. Solve t = -y*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**2 - 2*y**2 + 5*y**2)*(138 - 58 - 55 - 2*y)*(-13 + 2 + 2) to u*y**3 + a*y**2 + p*y + q and give a.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 7 = 3*a + 9, 5*a = -25. Let u = n + 3. Let f be (3 - u)\/(1\/(-5)). Solve -f*g = -g - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -w - 3, -4*w - 9 = 3*j - 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/((sqrt(10) - (sqrt(10) - sqrt(10)*1*-2)) + sqrt(10)) + (6*sqrt(54)\/sqrt(2) + sqrt(27))\/sqrt(9))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100834 and 5293785?\nAnswer: 10587570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (190\/76)\/(39\/72*-10)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -3) + (-72)\/6*(-6)\/(-24). Let s(o) = -3 + 4 - 5*o**2 + 4*o**2 - 3*o**3. Calculate s(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)\/(sqrt(80)\/((sqrt(8)*-2 - sqrt(8)) + sqrt(8))))\/(1*-1*sqrt(1210)).\nAnswer: 2*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2413, 2396, 2379, 2362, 2345?\n\"Answer: -17*m + 2430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57905 + 57908. Let v = -3.04 - -0.04. Let l = 1 - v. What is the fourth smallest value in l, t, -3, 2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3 - 15386*g**2 + 1087435*g - 1072050 = 0. What is g?\nAnswer: 1, 70, 15315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z + 6. Let n be p(11). Let k be 2\/(-8) + (-106)\/(-8). Suppose k*v - n*v = -66000. Round v to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000097724 rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6 + 2 + 40\/(-5). Let w(o) = -o + 6. Give w(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 714 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1507, -3845, -6185, -8527, -10871, -13217?\nAnswer: -15565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1582?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h + 6. Let i be g(-4). Let l be (-1)\/(i - (-10)\/4). What is the tens digit of (-680)\/(-26) - l\/(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 215 + -62?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-16798)\/(-13) - (-25)\/((-1300)\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1981 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 2*v - 1. Let w be u(1). Let j = -1 + w. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = n + 125. Suppose -n*t = -29*t + 28. Solve -1 = 4*x + t for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.3 - -1.7. Let i = p + -6. Let u = -1505\/9 + 167. Which is the nearest to -1? (a) i (b) u (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -168.5 + -13.5. Let i = z - -182. Which is the second smallest value? (a) -1\/8 (b) -0.5 (c) i (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*t - 15*t + 6 + 6*t to k + p*t and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115514 and 11150?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6583158525?\nAnswer: 3, 5, 2917, 30091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - ((7 - 4) + 0 + 2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17346?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 146919141?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38403 is divided by 12793?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 83 = 13*u, 28 = 5*u + 5*z + 3 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-1*sqrt(192)*1 - (6*(sqrt(192)*1 + sqrt(192)))**2) + 5 + (sqrt(192) - (1*-3*sqrt(192))**2)).\nAnswer: 176226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 3*v = 790 - 754, -5*p + 5*v + 35 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.037, -3, -2, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -977 + 1409. Suppose o*a = 438*a - 1986. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13035291709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5944242?\nAnswer: 2, 3, 990707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a*h**4 - 2*a*h**2 - 2076*a*h + 38*a + 43*h**5 + 1082*h**3 + h**2 + 2 wrt h.\nAnswer: 48*a*h + 2580*h**2 + 6492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ogoogggogggggogoogg. What is prob of sequence gog?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5*l + 54. Let m be o(10). Let t = -4 + 6. Which is the third smallest value? (a) t (b) -0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332, -2511, -8436, -19979, -39012, -67407?\nAnswer: -107036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/10)\/(7\/210). Suppose 0 = 4*j + 4*i + l, 0 = -5*j - 6*i + 2*i - 16. Is 1319 - (8\/(-2) - j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -18*d. Let n = -48 + 50. Let j(b) = -7*b**2 + 2*b**2 - b**2 + 5*b**n. Give j(i(k)).\nAnswer: -324*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in 0.5, 132, -1\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -12880 and 289?\nAnswer: 13169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 363 and 1452484.\nAnswer: 4357452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojoossooswowjjojvwv. Give prob of picking 1 s, 1 o, and 2 w.\nAnswer: 21\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of 0*c**2 + 0 - 4\/3*c**3 - 4*c. Let n(o) be the third derivative of o**5\/15 + 1381*o**2. What is j(n(h))?\nAnswer: -32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**3 + 675*g**2 + 182940*g + 363140 = 0. Calculate g.\nAnswer: -134, -2, 271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/131 (b) 159\/2 (c) 6.9 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1977 + -0.0023. Let g = 5 - 4.6. What is the fourth smallest value in -3\/2, c, 4, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, m: 19}. Give prob of sequence dm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 8*s**3 + 5*s**2 + 7*s + 10. Let a(j) = 45*j**3 + 30*j**2 + 43*j + 59. Let p(m) = -2*a(m) + 13*l(m). Find the second derivative of p(o) wrt o.\nAnswer: 84*o + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143338937, 286677873, 430016809, 573355745, 716694681, 860033617?\nAnswer: 1003372553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1337 - 1191. What is the greatest common divisor of 1971 and k?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 0 + (-88086)\/(-16). Let j = 5492 - o. Find the common denominator of 17\/2 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178582237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(18)\/(sqrt(6) + sqrt(48)\/sqrt(8))).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 141750 - 23247081\/164. What is the common denominator of 27\/533 and y?\nAnswer: 2132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 0*n**2 - 11\/6*n**3 + 0 - 8*n. Let g(s) = -s**2. Give h(g(p)).\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(560\/(-175)))\/(377\/(-186) + (1 - -1))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) 682\/3677 (b) 0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5693900 to the nearest 10000.\nAnswer: 5690000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5374040)\/36128)\/((-10)\/8)?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16955570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p + 1. Let w be r(4). Suppose 0 = -w*b + 6 + 19. Solve 5 = -0*j - b*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.7 + 2.78. Let f = 1.92 + a. What is the nearest to f in 3, 2\/7, -1\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 3*p - 3*t + 39, -3*t = 3*p - 27. Suppose -p = i - 5. Let g be i\/(-3) + (-132)\/(-9). What is the highest common factor of g and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 5*g + 5*g + 6*g.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 3876?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 19*j**2 + 2*j - 30. Let f be i(19). Suppose -4*d + 0*t + 4 = -4*t, 0 = -2*d - 4*t + f. Solve -2*y = -w + 3, d*w = -2*w + 20 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3405 (base 6) in base 15?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1591 in -3, -5, 9, -5\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133389 - 328781 = 4902*r + 16387 + 26349 for r.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2981 divided by -1\nAnswer: 2981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**2 + 1338*i + 132312 = 0.\nAnswer: -298, -148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 267815151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 428 and 23576.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y - 7\/6*y**3 + 0 + 21*y**2 - 1\/6*y**5 - 5\/12*y**4 - 1\/120*y**6. What is s(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -16, -15, 0, 35, 96, 189?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -10*m**3 - 4*m**2 + 4*m - 4. Let x be 18\/30*15\/9*4. Let g(b) = 9*b**3 + 3*b**2 - 3*b + 3. What is x*g(i) + 3*h(i)?\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4263987*b**3 + 6843892*b**2 + 1.\nAnswer: 25583922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.137315ml to litres.\nAnswer: 0.008137315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/7)\/n**16 assuming n is positive.\nAnswer: n**(-111\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -8. What is the second derivative of -4*i**l - 3*i + 0*i + i**5 + 5*i**5 wrt i?\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10217.122 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqqxqqqqqqqxqqx. Give prob of picking 3 q.\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07813798199 to five dps.\nAnswer: 0.07814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w + 11*w + 5*w - 3*w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15615 and 202995?\nAnswer: 202995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 + -14. Let p = r + -19. Let m(q) = 4*q + 10. Let o(w) = -w - 2. Let g(h) = -2*m(h) - 11*o(h). Calculate g(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48189*d**3 - 47235*d**3 + 95278*d**3 + 3*d**2.\nAnswer: -146*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36339\/20 - 3637\/2. Find the common denominator of -113\/37560 and o.\nAnswer: 37560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21063 (base 11) to base 7\nAnswer: 155311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 47149772, 94299545, 141449318, 188599091, 235748864?\n\"Answer: 47149773*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5194183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/9 (b) 2 (c) -40\/73 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**3 + 18*v. Let g(t) = t**3 + 43*t**2 + 15*t - 1098. Let y be g(-42). Let r = 3 + -3. Let d(p) = 11*p + r - 12*p + 0. Determine y*d(f) + 2*l(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4\/7, 1\/2, 6, 10.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/4)\/n**1)**(15\/2) assuming n is positive.\nAnswer: n**(-105\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 1434*m + 311193. Calculate s(-217).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1779.000000863 - 1779. Round g to 7 decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 4*b + 10 = -10, -4*j + 5*b = 24 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**2 + 16*c + 8*c**2 - 7*c**2 to r*c + k + n*c**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 12*g + 7. Suppose 2*h - 2 = 0, 877 - 921 = -4*m + 4*h. What is k(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 43500 and 348000?\nAnswer: 348000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + h = -3 - 0, -4*a + 9 = -3*h. Suppose a = -32*w + 34*w - 16. What is the common denominator of 37\/5 and 1538\/132 + w\/220*5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 i when two letters picked without replacement from {i: 1, g: 3, n: 1, d: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from abbaba.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 4*f**2 + 3*f - 3. Let h be p(3). Let k(s) = s - 2*s**3 - 1 + 4 - 4*s**2 - 4. What is the units digit of k(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 151.09 - 151. What is the closest to v in -3\/2, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of 5*z - 4*z**2 + 0*z**3 - 11 + 3\/4*z**4. What is the first derivative of l(c) wrt c?\nAnswer: 9*c**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 145*m - 151*m + 390*m + 638*m to the form j + t*m and give t.\nAnswer: 1022","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**3 + 168*k**2 + 12*k - 673. What is r(56)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 = -z - p, -546*p + 544*p = -z + 205. What is the remainder when 599 is divided by z?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 11*i**2 + 3*i - 2. Let m(w) = 9*w**2 + 2*w - 1. Let h(v) = 6*m(v) - 5*u(v). Let k = 4 - 7. Is h(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*v = 49*v. Solve b + 0*b + 1 = v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t**2 + 1. Let q(y) = 10*y**2 + 6*y - 1. Let a(j) = j**2 + j. Let i(d) = 6*a(d) - q(d). Determine 4*i(s) - 3*m(s).\nAnswer: -s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 + -10051?\nAnswer: -10030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -k**4 + 260*k**3 - 16611*k**2 = 0?\nAnswer: 0, 113, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13*(-17)\/663)\/(((-5)\/(-2))\/(-5))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 - -19) + -1 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 38\/14)\/(16\/(-112)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (13 - (-8 + 2 + 0)) - 95?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348 = -445*r + 503*r. Solve -r*z = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 376 + 155570?\nAnswer: 155946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2348)\/(-82180)*(-3 + 1)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - g + 3)*(-7 + 108 + 3*g + 47) to the form w + b*g + x*g**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 8\/43 (c) -1.78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20350 - 3?\nAnswer: -20353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((4 + (-3 + sqrt(833))*-3)**2 - -2*(sqrt(833) + 3)**2*-1) + 3.\nAnswer: -3150*sqrt(17) + 29913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 34, 2, 29, -2\/3, -1\/4, 4?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 1122?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/(-21) + (-68)\/3. Which is greater: c or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -o. Let a = 1711 - 20551\/12. Let g = a - -5\/4. Is g less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -865328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence na when two letters picked without replacement from qnaaqqqqannanq?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 186535 (base 9) in base 5?\nAnswer: 12210343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7007 or -1?\nAnswer: -2\/7007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 28*u**2 - 19*u + 3. What is the units digit of w(27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*s = 4*b + 202*s - 4, 5*b + s - 5 = 0. Is 33\/20 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12455\/3 + -174275\/42. What is the common denominator of 480\/168*(-176)\/(-120) and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-5) + 242\/110. What is the biggest value in -17, 1, g, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2670524141 to the power of 1\/2, to the nearest integer?\nAnswer: 51677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2926 - -4666. What is the greatest common factor of r and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbmb. Give prob of sequence bm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.31? (a) -0.5 (b) 0.11 (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 76*t = 71*t - 35, -4*q + 3*t = -25 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-4 - (20 - 14))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p - 12. Give s(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + -4 + 56\/4 + -5. What is the second derivative of -14*b + 298 + z*b**3 - 298 wrt b?\nAnswer: 42*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -777 divided by -149822.\nAnswer: 777\/149822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/48 + (-221)\/(-3). Is o less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.996 - 0.104. Let n = o + 9.1. What is the closest to 1 in 2\/13, n, 8?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 f, and 2 w when four letters picked without replacement from {m: 1, w: 3, l: 1, f: 1, d: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.999925 - -15. What is q rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2839986599 to the nearest integer?\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, c: 8, s: 4}. Give prob of picking 2 c.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -127*t**2 + 3*t + 2. Let f be d(-1). Let b = -383\/3 - f. What is the nearest to -1 in 4, 1\/4, b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 3\/2)*10. Suppose -x*h = -21 - 54. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 222120211?\nAnswer: 222120201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 40871, 81717, 122563, 163409, 204255?\n\"Answer: 40846*r + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**4 - 8*z**4 + z**4)*(-54 + 32 + 19).\nAnswer: 21*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.29 + -92.29. Let l = d + 96. Sort l, 15, 4.\nAnswer: 4, l, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -10 - (-5 + 7 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v - 57 = 79. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12287231 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -1.75308870598.\nAnswer: 2.24691129402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z. Let y(p) = -5*p. Let k(c) = c. Let u(t) = k(t) + y(t). What is u(v(j))?\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 2 (c) -3\/5 (d) -6\/11 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.8012 + -0.1988. Which is the closest to 0.4? (a) -4 (b) 4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2) + 5 + -6 + (14 - 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a factor of 3407698?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.3 - 7. Let k = 22 - 16. Let w be ((-4)\/k)\/(8\/12). What is the nearest to w in -0.1, h, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2870200 and 270?\nAnswer: 77495400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 12:12 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*o**4 + 0 - 34*o**4 - 2 + 16*o**4 - 2*o**2 - o as y*o**4 + v*o**2 + m*o**3 + r + z*o and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 2:00 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15843674?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11 and 474?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1197960 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 965924269\/217962 - -1265\/12109. Let z = 15 - 4449. Let a = z + o. Calculate the common denominator of a and -58\/15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + 0. Suppose 13 = l*q - 7. Let p(f) = -f**2 + 5*f + 3. Let i be p(q). Solve 0 = -2*k + 5*u - 27, 3*k - 2*u - i*u + 28 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d = -13*d + 6. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v = -12*v + 6. Let h = -1 - -3. Calculate the least common multiple of (-2)\/(v\/9) + 0 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58)\/(-13) + 0 - ((-303)\/(-75) - (-312)\/(-7800))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 341589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57) + sqrt(912))*-4)\/sqrt(3).\nAnswer: -20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -16250+218190\nAnswer: 201940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 6 = 3*k. Suppose 3*v = -2*d + 136, -v + 35 = 3*d - 22. Suppose k + v = 3*f. Calculate the greatest common divisor of f and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4324 - 31?\nAnswer: 4243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -82777 divided by 337\nAnswer: -82777\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/9 (b) 10 (c) 2\/15 (d) 121482\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 86, 371, 854, 1541, 2438, 3551, 4886?\n\"Answer: f**3 + 93*f**2 - f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -140253.\nAnswer: -140253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 630\/(-120)*(5 + (-2 - 4))*24\/(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (96\/10)\/(798\/1330)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1 + -1)\/(6*6\/(-486)) is divided by (18\/10)\/((-12)\/(-180)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 505937045 + 5*y**2 - 505937045.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-6 + (-8 - (-4 - 12))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.4 + -1.8. Let l = -0.2 - -0.3. Which is the closest to 0? (a) n (b) l (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*n**5 + 225*n**4 + 21*n**2 + 8623*n.\nAnswer: 60*n**3 + 2700*n**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 488482772?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -200\/9, -0.4, 0.2, -1, 4 in descending order.\nAnswer: 4, 0.2, -0.4, -1, -200\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -465124 + -12514\nAnswer: -477638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 139\/7 - 136\/7. Let a be (4 - 6) + 3\/2. What is the second smallest value in a, 6\/11, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134991, -135472, -135953?\nAnswer: -136434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 + 31\/186 + (-3 - (-105)\/18). Which is the third biggest value? (a) -1 (b) -3\/2 (c) h (d) 8 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**3 + 25*m**2 + 5*m - 25 = 0. What is m?\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30625 and 33600?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**7\/j)\/j**(-2\/5)*j**(2\/7)*j*j*j**1)\/((j*j\/(((j\/((j*j**(-1\/5))\/j))\/j)\/j))\/(j*j**(1\/3)\/j)*((j*j*j*j**(2\/7)*j)\/j)**15) assuming j is positive.\nAnswer: j**(-631\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00503833 rounded to four dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 0.3 (c) -3\/8171\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/2*267\/890?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4094788.81 rounded to the nearest 100?\nAnswer: -4094800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 19545 or 19546?\nAnswer: 19546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - (-3 + -6734)) + 14 + -12 - -2?\nAnswer: 11, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2387192 to four dps.\nAnswer: -1.2387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -30*h**2 - 37*h**2 + 25 + 49*h**2 + 24*h - 629*h**3 + 630*h**3. Give x(17).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 97*v**4 - 11*v**3 + 11*v**2 - 7*v - 752. Let p(f) = 49*f**4 - 6*f**3 + 6*f**2 - 4*f - 375. Let t(u) = -11*p(u) + 6*x(u). Differentiate t(r) wrt r.\nAnswer: 172*r**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24017313979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48 - -49.9. Let s = m + -2. Let x be ((-89)\/1157)\/(8\/26). Which is the second smallest value? (a) -2\/13 (b) 0.05 (c) s (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a factor of 10448900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**4\/3 - 4*f**3\/3 + 164*f**2\/3 - 148*f + 96 = 0. What is f?\nAnswer: -8, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -50 - (-1824 + 1868)) + (-5 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.9543434 to 0 dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/1)\/((-464)\/87)*22\/99?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 - 5*n + 1. Give x(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/7 + 0 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1119, 720, 241, -324, -981, -1736?\n\"Answer: -y**3 - 34*y**2 - 290*y + 1444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -18*o + 45 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1 + -5.1. Let j be (-11)\/(-21) - (-8)\/(-12). Which is the nearest to -1\/3? (a) j (b) -2\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - c**2 - 4*c + 4. Let k be f(4). Let v = k + -36. Solve 0 = -v*q + q + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20202060 divided by -20\nAnswer: 1010103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w + 62. Let f be t(7). Is f at least as big as 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 12:10 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2\/5, -5, 0, 6\/7 in increasing order.\nAnswer: -5, 0, 2\/5, 6\/7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*r, 3*r = 3*n - 2*r - 23933. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 8*z**2 + 8*z - 5. Let d be m(7). Suppose -2*p = 8, 5*j - 3*p - 52 = -10. Suppose -3*v = -3*o - 180, j + 2 = -d*o. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 11:37 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.94200066 rounded to 2 decimal places?\nAnswer: 71.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4 + (-2 + sqrt(17))**2 + sqrt(17))*-6*3.\nAnswer: -234 + 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -39585\/2 != 1.22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13461907\/7 + 1919217. Let g = 820751\/210 + y. Calculate the common denominator of g and ((-259)\/1 - 3)*(2\/24)\/1.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 644 + -631. Suppose 5*n + m = 3, -2*l - 8 = 3*n. Which is bigger: l or -2\/1053?\nAnswer: -2\/1053","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the first derivative of 16*c**4 - 8*c**3\/3 + c**2\/2 - 9*c - 182. Is v(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1269 = 39*j - 42*j. Is j a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -517369 (base 10) to base 14\nAnswer: -d678d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) 6 (b) 3 (c) -2\/7 (d) -5 (e) 26 (f) 3\/2 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347 = -5*u - l, 268 = 5*u - u - 4*l. Let n(g) = -4*g**2 + 2*g + 2. Let k be n(-3). Let j = k + 64. Calculate the remainder when u is divided by j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 15 = -3*t, -4*i = 2*t - 5 - 11. Let h(y) = 4*y - 26. Let s be h(t). Is (1 + ((-9)\/12 - s))*4 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {h: 5, t: 4, n: 2}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -34, -122, -260, -442, -662, -914, -1192, -1490?\n\"Answer: y**3 - 31*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1650 and 9735?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g**4*y - 8*g**2 + 2358137*g*y + 12303757*y wrt g?\nAnswer: 4*g**3*y - 16*g + 2358137*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 13*b + 17*b - 50 - 33*b. Calculate the lowest common multiple of 5\/3 - (-8)\/(-12) and r(-19).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, -5, 98, 14 in increasing order.\nAnswer: -83, -5, 14, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6376? (a) 3\/7 (b) 0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281 = 5*o + 3*q + 286, -o - 14 = -2*q. Let z(n) = 3*n + 11. Let h(t) = t + 4. Let j(r) = -8*h(r) + 3*z(r). Let k(f) = -f - 1. Calculate o*j(y) - 3*k(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -45726 - 446?\nAnswer: -46374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 10:20 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -294*l**2*u**4 - 2*l**2*u**3 - 22*l**2*u - 3*l*u**2 wrt u.\nAnswer: -7056*l**2*u - 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -63*g + 2 + 79*g - 12. Let q be k(5). Suppose -40 = 68*z - q*z. Solve 0*m = -4*m + z for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**4 + 116*d**3 + 2*d**2 - 13479*d.\nAnswer: 24*d**2 + 696*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 1. Let d(v) = -v + 4. Let b(s) = -2*d(s) - 6*g(s). Let h be b(-4). Find the second derivative of -10*q + h*q**4 - q - 2*q**4 - q**4 wrt q.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -248*p + 752. Calculate the remainder when x(2) is divided by 59.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -712 + 726. Solve 13*y = 12 + z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78598353?\nAnswer: 3, 41, 639011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 7*o - 4. Let y be m(-6). Suppose 4*i - 16 = -2*j - y*j, 8 = 5*i - j. Let s = 147120 + -147112. What is the lowest common multiple of i and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 230 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/5 - 138\/(-30). Solve a + 11 = -3*s, -s + n*s + a = -14 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 65 + 1db?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 2*y**2 - y - 2. Let v be m(3). Let u(x) = 4*x + x + 3 - v - 4*x. Give u(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3350 = 682*g - 2537 + 873 - 2488 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -4.095?\nAnswer: -16.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3795892*u**3 - 1897934*u**3 - 1897942*u**3.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-158553)\/3239 - 52\/1066?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 325*a**2 + 78 - 78 + 320*a**2 - 108*a**2 to the form q + z*a**2 + t*a and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 664\/(-220) - (-7)\/35. Is -2 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, 32, -3, 30, -12, -0.11, 5?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.18 and 0.3.\nAnswer: 0.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 8307*p - 68. Let j(q) = 6*q. Determine g(j(w)).\nAnswer: 49842*w - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -237, -446, -715, -1038, -1409, -1822, -2271?\nAnswer: -2750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3 - 19 = -3*l, 2*l = 3*z + 13. Let q = 16209 - 16208. Sort -2\/3, q, 5, z in decreasing order.\nAnswer: 5, q, -2\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -0.04, -2989463, -5, 2\/3?\nAnswer: -2989463","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 812 = -32*m. Suppose m = 2*o - 4*a, o - 2*a - 19 = a. Solve -o*y = 19 - 23 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - 5\/((-15)\/1602). Calculate the common denominator of -51\/20 and (-6)\/(-16) + i\/656 + 0.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*k + 80*k + 92*k.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16250 and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 1. Let z = 2.00000096 + j. What is z rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 9*l**2 + 459. Let c(t) = 4*t**2. Calculate c(x(p)).\nAnswer: 1296*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/6*129\/(-43)*2\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 156*p - 658*p - 5522 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 526660 to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.0578813 or 1.33?\nAnswer: 1.33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-5))\/((-4)\/5). Let g = -18 + 16. Let j = -251\/4 + 253\/4. Which is the second smallest value? (a) g (b) j (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**6\/80 + 7*g**5\/40 - 3*g**4\/8 - 19*g**2. Solve j(o) = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -1.031?\nAnswer: -0.1031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7 - z + 7. Let j(n) = n + 5. Let t(p) = 2. Let f(i) = 1. Let h(m) = -12*f(m) + 5*t(m). Let y(u) = -5*h(u) - 2*j(u). What is d(y(l))?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of 0 + 0*n - 1\/60*n**5 - 11\/24*n**4 - 13\/6*n**3 + 35*n**2. What is q(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**2 + 3*r**2 - 9*r**2 - 76*r**2 - 32*r**2 + 61*r**2 + (-2 + 5*r + 2)*(r - 1 + 1).\nAnswer: -51*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (726\/5)\/(6\/20). Suppose 9*m = x + 38. Suppose 0 = -4*i + 933 - 21. Calculate the remainder when i is divided by m.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6086 + 6094. Let c(b) be the second derivative of -22*b + 8\/3*b**3 - r*b**2 + 0. Find the first derivative of c(q) wrt q.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*u + 9. Suppose 3 + 12 = 5*j, -f - 5*j + u = 0. Is 1068\/f*14\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-25)\/(15\/3) + 10663 + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4082281 divided by 4082281.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 57 - -16. Let c = v + -50. Let j = 23.2 - c. Which is bigger: -11 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**5 - c**5 - 8*c**5 + (-2 - 2*c + 2)*(439 + 442 - 184*c**4 - 880).\nAnswer: 359*c**5 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 greater than -690?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16277330 (base 9) to base 5.\nAnswer: 4041003023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 21*p**2 + p - 1. Suppose 5 = 3*t + 2. Let g be f(t). What are the prime factors of (20\/35)\/(6\/g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8.1, -13.42, -109?\nAnswer: 8.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/10)\/(((-16)\/60)\/(-2)). Does 11 divide 693\/(-6)*p\/7*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, 18419\/142 in decreasing order.\nAnswer: 18419\/142, 8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149384*x + 395928 = -156998*x for x.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = -4*h + 5*l - 0*l, -2*l = h - 14. Suppose 4*j + k - 23 = 0, 2*j - h = -k - 3*k. Solve j = 2*w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3592969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -686 + 730 + -1 + -8\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1349556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.36, 0, 2\/3, -8 in ascending order.\nAnswer: -8, -0.36, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -58, -128, -268, -502, -854, -1348, -2008?\nAnswer: -2858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-16)*(-15 + (-110)\/(-22)). Let j(x) be the first derivative of 19 - n*x**4 - x**3 + 0*x + 0*x**2. What is the third derivative of j(o) wrt o?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1034.4 - 329.6. Let n = h + -650. Let m = n + -82. What is m rounded to 0 decimal places?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 5*c + 8 = 0, 5*c - 12 = -5*q - 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 99929332*g**2 + 29229*g + 692.\nAnswer: 199858664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 3*u + 12 - 22, 0 = -2*u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534022?\nAnswer: 2, 83, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 9:52 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3799 = -24*r + 2441. What is the lowest common multiple of 28 and r?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 189246029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7949267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1074+2690.9341\nAnswer: 1616.9341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -201\/4 - -99\/2. What is the biggest value in g, 2, -1, -1\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 186254?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 2*u + 3, 0 = -2*f - 3*u + 151. Suppose -4*l + 5*l = d + 8, -2 = 2*l - 5*d. What is the remainder when f is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -11*z + 6. Let l(b) = 4*b - 2. Suppose -18 = -99*w + 96*w. What is w*x(h) + 17*l(h)?\nAnswer: 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1694, 1699, 1716, 1751, 1810, 1899, 2024?\n\"Answer: j**3 - 2*j + 1695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3240592.\nAnswer: 2, 337, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 424661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 20*c**2 + 117*c + 162.\nAnswer: (c + 2)*(c + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -887233 or -887231?\nAnswer: -887231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/5*30\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 2*y - 2. Let l be c(-2). Let z = 30 - 29. Find the second derivative of l*i - 8*i + 1 - i**2 - z wrt i.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 8*z - 260 = 0. What is the highest common factor of z and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.018 - -0.0180265. Round f to six dps.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52 - 64.52. Let p = k - -0.02. Let c = p - -12.4897. Round c to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 9 = -2*p. Suppose p*b = 8 - 2. Solve b*u = 5*u - v + 6, -2*u - v - 9 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -8*c**2 - 50*c + 452. Let f(b) = -3*b**2. Determine g(f(s)).\nAnswer: -72*s**4 + 150*s**2 + 452","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 21*w**2 - 3*w**4 + w**4 + w**3 + 238*w + 13*w**2 + w**3 - 208*w = 0.\nAnswer: -3, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 1149*n + 513*n = -702*n + 13104 - 93480 for n.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 757?\nAnswer: -753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -119 + 809. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 0)*39\/(-26). Let i be (n\/9)\/(-2 + (-46)\/(-24)). Solve 16 = 4*d + 5*m, 0*d + i = 2*d - 3*m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130785.\nAnswer: 3, 5, 8719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-16)\/x)**(9\/4))**32 assuming x is positive.\nAnswer: x**(-1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = v + 38, -3*s + 573 = -5*v + 579 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10002444 (base 6) to base 12.\nAnswer: 116424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -352810985165585351\/885478 + 398441277102. Let b = d + -3\/7318. Find the common denominator of -45\/22 and b.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*k + 6 = -30 - 42 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 242 - 140. Suppose 6*h - b = 4*h. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -581*i**5 + 24*i**2 - 1.\nAnswer: -34860*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4256114 and 798?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 17*b**2 + 24*b + 92. Let i be x(15). Solve 8 = o + 5*m, m + 16 = 5*o + i for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - -3) + -13 - -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 9*u = 279. Calculate the remainder when 122 is divided by u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1559, -1774, -2011, -2282, -2599?\nAnswer: -2974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5422 minus 0.1874466163?\nAnswer: 5421.8125533837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + (sqrt(6336)*3 + sqrt(6336))\/sqrt(4) + -5*(sqrt(176) + -2)).\nAnswer: 24 + 56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7291 - 2150. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 135, 272, 409, 546, 683, 820?\n\"Answer: 137*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 12:36 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-24))\/(1\/2)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/1)\/(2\/(-4)). Solve g = -2*t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 112*x**2 + 294 + 2*x - 64*x**2 + 90*x**2 - 294 to y*x + q + j*x**2 and give j.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/15*(-123)\/2. Differentiate 52 + 7 - x*s + 18 wrt s.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 789.61005 nanoseconds to hours.\nAnswer: 0.000000000219336125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 5:27 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 426428 and 204?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.901687 rounded to 0 decimal places?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8a1 + -2?\nAnswer: -8a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g + 4*t, -276*t + 274*t + 5 = -g - 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 18*h - 11. Let u(o) = -o**3 + 4*o**2 + 4*o + 1. Let w be u(-2). List the prime factors of n(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*z + 3*z - 6*z.\nAnswer: -19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 4500.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8322 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(1700) - (3 + sqrt(17) + 0 + sqrt(2448)))**2.\nAnswer: -162*sqrt(17) + 12402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1228, 2477, 3738, 5011, 6296, 7593?\n\"Answer: 6*m**2 + 1231*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 2 (b) -1393\/2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 5.15. Let i = f + -0.05. Let y = -51\/2 - -27. Which is the smallest value? (a) 0 (b) y (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*h**3 - 5671714*h - 30*h**3 + 5671707*h to y*h + f + s*h**2 + x*h**3 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3676, 7332, 10964, 14572, 18156?\nAnswer: 21716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-2)*2\/(-6). Sort -1, x, 3.\nAnswer: x, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1235.32292 to one dp.\nAnswer: -1235.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*s**2 - 17*s**2 + 9*s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065932537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 153, -3, 0, 1, 9 in ascending order.\nAnswer: -3, 0, 1, 9, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10.3 and -0.1.\nAnswer: -1.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 553792 to the power of 1\/2, to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75169706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-56 + 171 + 52 + 20 + 118)*(4*c + 8*c - 3*c) to z + p*c and give p.\nAnswer: 2745","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21, 107, 249, 447, 701, 1011?\n\"Answer: 28*g**2 + 2*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 845174?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 540 = -4*i - 2*w, -3*i + 2*w + 406 = 0. Is i a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*o - 45*o = 43*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.5 + -15. What is the second smallest value in 2\/41, 1\/5, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 565 * 2.\nAnswer: 1130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 - 2*i**2 - 3*i + 9. Let o be s(-4). Let f(q) = 3*q - 5. Let a be f(6). What is the greatest common divisor of a and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a day in minutes?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -4*h + 16. Suppose -2*u = -7*u. Solve u = -h*m - m + 5 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 3*u + 989 + 1000, 4*z - 2*u + 2650 = 0. Let r = 664 + z. Let l(i) = 2*i**2 + 5*i - 3. What is the least common multiple of l(-4) and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 10:04 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 158333 (base 10) to base 14\nAnswer: 419b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 197*h**2 - 24*h - 152. Is 56 a factor of z(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(68)\/(sqrt(4)*-2 + sqrt(4)))**2 - -5*(sqrt(17) - (-3*sqrt(17))**2) - (sqrt(153)\/(2*sqrt(36)))**2*-4)*-6.\nAnswer: -36*sqrt(17) + 9333\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2621, 5241, 7861, 10481?\nAnswer: 13101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4130970, 4130933, 4130896, 4130859?\n\"Answer: -37*i + 4131007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 - 4*v**2 + v + 4*v**2)*(-2*v + 2*v - 3*v).\nAnswer: -9*v**4 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/20)\/(((-5)\/160)\/(12\/(-24)))\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 5928 + 11849 - 5921.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 119 = 35. Let g = m - -40. Let b be (0 - 3)\/(g\/(-138)). Calculate the greatest common divisor of b and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*r**2 - 1126*r**4 - 19*r**2 + 58*r**2 - 10*r**2 + (r**2 - r**3 - r**2)*(-r - 1 + 1) in the form o*r**3 + j + d*r**2 + n*r**4 + w*r and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 7 + 7)*(0 + 2 - 4)*(2*j**2 + 0*j**2 - 3*j**2).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34.769 - 34.569. Which is the fourth biggest value? (a) l (b) -109 (c) 0.1 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001000 + 100110100010111000100?\nAnswer: 100110100001100111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*v - v**2 - 13*v + 7 + 173 - 18*v - v**2 wrt v?\nAnswer: -4*v - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342 a factor of 1501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**2\/m)*m\/(m*m**(-2)*m))**(-1\/16) assuming m is positive.\nAnswer: m**(-1\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 t when two letters picked without replacement from apptcmpp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -137 + 119. Is p < -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38479 (base 15) to base 9\nAnswer: -303676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -598*z**2 + 1749*z**2 + 663*z**2.\nAnswer: 1814*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1578 - -1606. Calculate the greatest common factor of 4172 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence daq when three letters picked without replacement from {d: 1, t: 1, b: 1, a: 1, q: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 + 2 - 2 + (-3 - 3 + 1)*(-5*g**3 + 3*g**3 - 4*g**3) + g**3 - g**3 + g**3.\nAnswer: 30*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 1 = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 4*t - 8 = 0, 5*v - 5*v + t + 1149 - 2413 + 1138 = 15*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = 3*v + 1, 5 = 5*v - 10*v for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 47*k**2 - 6*k. Let d(l) = -2*l - 7. Let a be d(-9). Let r be s(a). Let x = r - 3862. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 15*x + 17. Let b be a(12). Let d = b - -28. Let t = 13 - d. Solve -t*h + 25 = 5*f, h = -5*f + 2 + 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**3 + 194*f**2 - 1877*f - 146592. Calculate x(-99).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482265?\nAnswer: 3, 5, 7, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k + 2. Let c be o(0). Is (-3 - 3 - -4) + 258\/c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4710.\nAnswer: 2, 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3.404?\nAnswer: -5.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**2 + 320*l + 315 = 0.\nAnswer: -63, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*2*5\/(-270)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*(-1 + sqrt(567)).\nAnswer: -45*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/9761 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1832143831 to the nearest integer?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (2 - 1)*1. Let j(m) = -m**3 + 11*m**2 - m + 13. Let w be j(11). Let h(a) = a**s + 3*a**2 + a**w - a**2. Let n(c) = 2*c**2. Determine n(h(v)).\nAnswer: 32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -851*j**2\/4 - 425*j + 1.\nAnswer: -(j + 2)*(851*j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 - 3 - 12*m + 4.\nAnswer: -12*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lmm when three letters picked without replacement from qmmalntaaqaq.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226 + 895*x + 227 - 453.\nAnswer: 895*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 + 7442*v**2\/7 - 456*v.\nAnswer: 2*v*(v + 532)*(7*v - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/581 and 149\/12?\nAnswer: 6972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1158391*a**2*r**2 - 11*a**2 - 5*a*r**3 - 11530*a*r - 3*r wrt r.\nAnswer: 2316782*a**2 - 30*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (2*sqrt(99))**2 + ((sqrt(88)*-1)\/sqrt(8) - sqrt(11) - sqrt(11)).\nAnswer: -2*sqrt(11) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10.14, -0.1, -4, 39, 2\/5 in decreasing order.\nAnswer: 39, 10.14, 2\/5, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*x + 13*x + 1530 = 0. Is 17 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 8*n**2 + 3*n. Let k be p(-3). Suppose 5*d = c - k, 2*d - 15 = 4*d + 3*c. Let u(h) = h**3 + 11*h**2 - 18*h - 3. List the prime factors of u(d).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-1))**(4\/11))**(17\/4)*((x**1)**(-38))**(5\/3) assuming x is positive.\nAnswer: x**(-190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.2 + -4.9. Suppose -4*t = -x - 3*x - 4, -2*t - 2*x = -14. Let d be (-8)\/3*(-6)\/t. Which is the third biggest value? (a) i (b) d (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i**2. Let z be (-1)\/3*(-2 + -1) + 1. Let k(o) = 5*o**2 + 18 - 18 - z*o**2. Determine g(k(f)).\nAnswer: 54*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -z**2 - 1. Calculate u(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 66\/4 + (-4)\/8. Let i(m) = 5*m - 61. Is i(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568826080?\nAnswer: 2, 5, 59, 60257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 259*m**3 - 254*m**3.\nAnswer: 5*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6760400645?\nAnswer: 5, 317, 983, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 449 + -433. Suppose 5*w - 2*p - 19 = 0, -3*w + 7 = p - 0. Suppose 9 = -3*x + 4*x - v, 6 = -2*x - 4*v. Solve -w*a + s = a, -x*g - 6 = -4*a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 8) to base 2\nAnswer: 100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 12 = -15. What is the second derivative of -68*x**n + 10*x**3 - 10 + 47*x - 49*x wrt x?\nAnswer: -348*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 6 = -2*b, r + 4*b + 6 = 16. Suppose -3*g + 13 = 4*h, 0 = -r*h - g + 1 + 6. Sort h, 2\/3, -2 in descending order.\nAnswer: h, 2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64968.\nAnswer: 2, 3, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 132 + 107 - 274 = 2*y, -5*y + 339*k - 754 = 966 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -9*s. Let b(v) = -2390*v + 1689. Give b(f(d)).\nAnswer: 21510*d + 1689","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (241 - 241 - 14*t + 3*t + 2*t - 3*t + (2 - 1 + 1)*(-3*t + 1 - 1))*(-2*t**3 + 4*t**3 + 0*t**3).\nAnswer: -36*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1493622 is divided by 535?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, 15, -2, 0.5, -4 in ascending order.\nAnswer: -4, -2, -2\/21, 0.5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (13 + 1 + -11 - -18 - 10 - 5)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006084 to 6 decimal places.\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 12:57 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 138, 1298, -0.3 in descending order.\nAnswer: 1298, 138, -0.3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 285101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 12*o**2. Let y(j) = -j**2 - j + 3. Let m(u) = 24*u**2 + 12*u - 36. Let q(n) = m(n) + 12*y(n). Give x(q(w)).\nAnswer: 1728*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**21*y)**37 assuming y is positive.\nAnswer: y**814","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 196335835787 - 0.1\nAnswer: 196335835786.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -1)\/(2*2). Let v = -5\/12 + c. Is v < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(1088) + -1 + 2 + sqrt(1088) - (sqrt(1088) + (sqrt(1088) - 3*(sqrt(1088)*3 + sqrt(1088) + sqrt(1088))))) + 1)**2 + -5 + 3 + -4.\nAnswer: 480*sqrt(17) + 244802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*o**2 - 15*o**3 - 128*o**3 + 178*o**2.\nAnswer: -143*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*l**3 + 137*l**3 + 103*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32368 and 4686424?\nAnswer: 65609936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 76287380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*o = -9, -95*o - 2 = 12*k - 100*o. Let q(i) = 6*i + 5. Let h(n) = n - 1. Determine k*q(f) + 2*h(f).\nAnswer: -4*f - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36.7 + -40. Let y = i - -2.9. Is 0.2 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-14) + (-157409)\/(-27685). Suppose -u*a - 2\/5*a**2 - 128\/5 = 0. What is a?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579028.\nAnswer: 2, 144757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -398*y + 136*y + 132*y + y + 130*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -744421*l + 372201*l + 372179*l.\nAnswer: -41*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 + 11. Let r = w + -29. Suppose -15*l + 18*l - 5*u - 73 = 0, l - 3*u = 15. Calculate the highest common divisor of r and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55*o**3*s**3 + 853*o**3*s - 4*o*s**3 + o*s - 8*s**3 wrt s.\nAnswer: -330*o**3*s - 24*o*s - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3630 divided by 1815.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 38321531 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, a: 3}. What is prob of picking 3 e?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -2460?\nAnswer: 2465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/120853 and -29\/2040?\nAnswer: 14502360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1022 + -480. Suppose 5*w + 0*y - 1337 = 4*y, -2*w - 2*y = -l. What are the prime factors of w?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*d**3 - 105*d - 10*d**3 - 13*d**3 + 1705*d + 7*d**3 + 4*d**2 as c*d**3 + g*d**2 + s*d + z and give s.\nAnswer: 1600","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-1\/4)\/k))**(-25)\/(k**0)**(-15) assuming k is positive.\nAnswer: k**(-225\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 6) in base 10?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 0)*(-5*m - 8 + 8)*((4*m - 4*m + m)*(1 - 1 - 1) - 2 + 2*m + 2).\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -1503 + 338. Suppose q = -4*g + 229. Do g and -3\/100 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.3 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -323 - -323.000002244. Round q to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**4\/2 - 12955*j**3\/2 + 84147*j**2 - 310626*j + 232956 = 0?\nAnswer: 1, 6, 12942","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-88 + 153 - 95 + 3 - 4 + 0 + (2 + 0 + 0)*(2 + 0 + 0))*(14 + 16*z - 14) in the form u + j*z and give j.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-19)\/(-3) + 2\/(-6). Let v(c) = -3*c**3 - 7*c + 7. Let b(x) be the second derivative of x**5\/20 + x**3\/3 - x**2 + 69*x - 2. Calculate h*v(p) + 21*b(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.064 and 199.\nAnswer: 12.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-18)*(-88)\/11\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 17*y + 15. What is z(17)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*m*o**6 + 3364*m*o**4 + 238*m*o**2 - 2*m*o + 4*m + 6 wrt o?\nAnswer: -1920*m*o**3 + 80736*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-82)\/(-6) - (-2)\/6. Let q = h + -12. Suppose q*w - 14 - 106 = 0. What is the greatest common factor of w and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(-4*sqrt(98)) - sqrt(152)\/(3*sqrt(200) + sqrt(200) - sqrt(8)))*5.\nAnswer: -235*sqrt(19)\/532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20012013, -20012032, -20012087, -20012196, -20012377, -20012648, -20013027?\n\"Answer: -3*q**3 + 2*q - 20012012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14740115 divided by -5\nAnswer: -2948023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -8*o**3 - 2*o**2 + 2*o. Let t be r(2). Let l be 9\/t + 1\/4. Let j = -5\/9 + 13\/18. Sort l, j, -4\/7 in increasing order.\nAnswer: -4\/7, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 1:17 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71 - -74. Calculate the highest common factor of j and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 5*w = 15. Let z = -2 + 2. Suppose 3*i - 28 = -2*m, 0 = 3*i - z*i - 4*m - 16. Calculate the remainder when w is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 - 29.8.\nAnswer: -28.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38574*j*z**4 + 2*j*z**3 + 2*j*z + 4*j - 512*z - 1 wrt z.\nAnswer: 462888*j*z**2 + 12*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 5:21 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 161937 - 161802. Suppose -4*q + 0*q = 3*h - 99, -2*q - 23 = -h. Calculate the remainder when k is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2547468.6*4.\nAnswer: -10189874.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 19*h**2 + 42*h + 16. Let p be j(-21). Solve -4*x + p = -8*x - 4*f, 5 = 5*f for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9820054 to the power of 1\/2, to the nearest integer?\nAnswer: 3134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23 - 19. Suppose -2*j - f*d = -4*j + 338, -4*j + 624 = 5*d. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 13*v. Let x(t) = 55*t + 322. Let s(o) = k(o) + x(o). Differentiate s(q) with respect to q.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21624 = -3*d + 3*u, 5*d - 2*u - 19312 - 16722 = 0. Suppose -j = 4*n - 2*n + d, 3 = -n. Round j to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*o - 22, -5*o - b = 3*b - 55. Suppose -12 - 15 = 3*l. Let x = l - -13. Calculate the remainder when o is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 44. Let d(w) = 2*w**3 - 124*w**2 - 123*w - 126. What is the remainder when d(63) is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 l when three letters picked without replacement from lwqq?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1485315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*w + 4*w + 2056, -5*w = -2*d + 814. Suppose -3 = -3*l + 5*k + d, 555 = 4*l - 5*k. What is the highest common divisor of 20 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - g + 0*g + (-5 + 5 - g)*(-2 + 4 + 0) + 254*g + 28748 - 28748)*(4*g + 1 - 1).\nAnswer: 996*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179 - 351 = -37*n - 160 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/4 + -2 + -50. Let b = q - -68. Calculate the smallest common multiple of (-8 + 0)\/(1 - 2) and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.5 - -0.5. Let t = i + -3.4. Suppose 2*s + 17 + 5 = 3*n, -4*n - 4*s + 16 = 0. Which is the biggest value? (a) t (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12 and -0.062?\nAnswer: 0.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23.2 + -23. Let g = t - 0.5. Let x = 2.7 - g. Sort -3, 1\/7, x in ascending order.\nAnswer: -3, 1\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 - 15. Suppose 0*d + 3*d - 23 = -g, 0 = -d - 5*g + 3. What is the highest common divisor of d and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, n: 1, w: 1}. What is prob of sequence nw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30522)\/15855 + 6\/(-10). Let o = v + -7\/151. What is the common denominator of o and 67\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1183218717 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -29*x**2. Let p(q) be the first derivative of -q**3\/3 - q**2 - 2*q - 23. Let r(d) = -d**2 - 3*d - 3. Let s(h) = -3*p(h) + 2*r(h). Give s(j(t)).\nAnswer: 841*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 12:31 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 0.14 (c) -44 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -765 + 8*t + 249 + 254 + 262.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 1 - 30 = -3*o + 6 - 10, 0 = -125*o - 4*f + 613 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*b - 34*b + 51*b - 283*b to the form r*b + q and give r.\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -116 + 406. What are the prime factors of n?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-3) - 98\/6. Let m be 3\/(-1 + (-19)\/u). Let x = m + -11. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + (4*1)\/2. Let f(d) = 4*d**2 - d**j - d**2. Let x(r) = -r + 2*r**2 + 7*r - 6*r. Give x(f(i)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 261925.98 months in years?\nAnswer: 21827.165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 12:28 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 + 17 = 3*a + 3*f, 3*a + 2*f - 55 = 0. Suppose -2*l = -4*l - 8. Let r(y) = -y + 1. Let i be r(l). Calculate the highest common divisor of i and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + m - 28 = 0, -o - 2*m - 2 = 5. Let x = o + 9. Which is smaller: x or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 8*l - 150. What is the greatest common factor of 432 and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ium when three letters picked without replacement from ipufgufpgppppipm?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2404509?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 3152 - 55269 = 0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i**4\/2 - 231237*i**3\/2 - 31917186*i**2 - 72415686*i - 18087408 = 0. Calculate i.\nAnswer: -10728, -281, -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 + 53*m**2 - 167*m**2 - 4*m**3 to j*m**3 + f*m + s + v*m**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(4*(-1)\/2). Factor 6 + 10*b - k*b + b + 3*b**2.\nAnswer: 3*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (82\/1025)\/(((-4)\/6)\/((-25)\/(-105)))?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000060800448 rounded to 6 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukkkkukuukuk. What is prob of sequence uu?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 9. Let y be f(-3). Sort -5, y, 4, -3 in increasing order.\nAnswer: -5, -3, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(208) + 1*sqrt(208))**2.\nAnswer: -3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2*(-2)\/(-4))\/1 + 55. Suppose -2*f + f = -s - o, -5*s = -2*f + 117. What is the second derivative of -q**3 + 62*q - 16*q**4 - f*q + q**3 wrt q?\nAnswer: -192*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**2 + 4488 + 8678 + 2*z**2.\nAnswer: 8*z**2 + 13166","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 2*u + 3747, -3*b + 11239 = -6*b + 4*u. Let j = 2473 + b. What is the units digit of (-2)\/7 + j\/(-42)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5591 and 635280.\nAnswer: 640871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -344.0668 - -8.\nAnswer: -336.0668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 974392, 1948332, 2922272, 3896212?\nAnswer: 4870152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/517779?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 609.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 58*u**2 + 912*u - 190. Give i(-16).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = p - 75, 7*p + 10*y - 5*y = 13*p + 75 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -7. Let x = m - -3.5. Let t = 0.039 + -0.139. Sort t, x, -4\/3 in increasing order.\nAnswer: -4\/3, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.8 (b) 0 (c) -4\/5 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -32*q + 60. Let b(n) = n - 2. Let i(v) = 2*v**2 - 11*v. Let s be i(5). Let m(z) = s*j(z) - 140*b(z). What is the first derivative of m(p) wrt p?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 + -0.35. Let y = 0.9 - 0.4. What is the third smallest value in y, -3, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 5:36 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 48795*d**3 - 4*d**2 + 20*d + 56. Let o be b(-2). Round o to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 2 + (-1 - -9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 18*b - 4. Give h(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffjkkqff. Give prob of picking 1 f and 1 k.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 + -0.3. Suppose 0 = 3*o - 2 - 1. Suppose -5*p - o = -4*b - 6, 0 = -3*p - 9. Sort b, n, 3\/4 in increasing order.\nAnswer: b, n, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 + c + 9. Let r(k) = 2. Let g(i) = -4*i - 31. Let x be g(-13). Suppose -9*q + x - 3 = 0. Determine q*m(f) - 9*r(f).\nAnswer: -2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2. Suppose 4422*m - 4405*m = 34. Let n(d) be the third derivative of 0 + 0*d - 7\/30*d**5 - 26*d**m + 1\/8*d**4 + 0*d**3. Give n(x(g)).\nAnswer: -14*g**4 + 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(3\/2)*45\/(-90).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 + b**3 + 4*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 787617?\nAnswer: 787617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-247)\/(-513)*(-945)\/(-61425).\nAnswer: 1\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10147424.07 rounded to the nearest one hundred?\nAnswer: 10147400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 2. Let j(z) = 3*z - 1. Let u be j(1). Suppose -3*p - 4*f = 5 - u, 4*p + 4 = -5*f. Which is the second smallest value? (a) v (b) -1\/2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -321*j + 353 wrt j?\nAnswer: -321","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 3. Let l(y) = -2*y - 2. Let c(w) = -w - 3. Let j(i) = d*l(i) + 3*c(i). Let a be j(5). Which is bigger: 0.3 or a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 83979, 83977, 83975?\n\"Answer: -2*d + 83981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -19?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 + -0.320026789?\nAnswer: 489.679973211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a decade in months?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 30\/13, 15, 0.14, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 18. Give f(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 0*c**5 - c**2 + 0 - 7\/6*c**3 + 1\/15*c**6 + 0*c + 0*c**4. Differentiate m(j) wrt j.\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73885109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/82688 and -103\/837216.\nAnswer: 6697728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 1088?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - x - 1. Let i(u) = -51*u**2 + 2*u + 3. What is i(t) + 4*n(t)?\nAnswer: -55*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.1 - -55.1. Let v = q + -92. Let i = v - -40.99816. What is i rounded to four dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + z**2 + 2. Let u be f(0). Let q(s) = 163*s**2 - 2*s - 1. Is q(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 26. What is the tens digit of 68 + c + (4 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142101646?\nAnswer: 2, 19, 139, 26903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/(a\/a**7)))\/(a\/(a**(3\/4)\/a)))**(1\/5)\/((a*a**1)**(4\/9)*(a\/a**(-1\/3))**31) assuming a is positive.\nAnswer: a**(-7861\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11918.\nAnswer: 2, 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 696*j + 47411. Give l(-68).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 9. Let v be q(-7). Let y be ((-14)\/(-6))\/(v\/12). What is the units digit of (48\/28)\/(1\/y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of -x**5\/90 - x**4\/54 + 2*x**3\/9 - 4*x. Factor s(v).\nAnswer: -2*v*(v - 2)*(v + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 577, 1154, 1731, 2308, 2885?\nAnswer: 3462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -721 + 781. Let n be (3*(-16)\/v)\/((-4)\/(-10)). Let y(h) = 8*h**2 - h - 2. Give y(n).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16360 is divided by 38?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 8:47 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((11\/33)\/(-1))\/(2\/(-1794)). Calculate the highest common factor of 13 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-5))\/((-20)\/100). Let h = 32 + -200. Is 14 a factor of (4\/m)\/(4\/h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 3*r**3 + r + 83. Let m(p) = 10*p**3 + 3*p + 250. What is -2*m(w) + 7*v(w)?\nAnswer: w**3 + w + 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 461 = x + m - 415, x = 3*m + 880. Let r = x + -591. Is r a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4\/5, -89, -2\/211 in descending order.\nAnswer: 5, -2\/211, -4\/5, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 34*r**2 + 582*r + 1711. Give a(-3).\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43? (a) 0.5 (b) -1 (c) 0 (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 164*j - 338. What is k(0)?\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s - 142. Determine n(26).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 175831751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 544, 601, 658?\nAnswer: 715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -2\/3939?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 71. What are the prime factors of (k\/4)\/(243\/60 - 4)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(128) - (1*sqrt(128) + sqrt(128)))**2 - sqrt(128)) + 3 + -2*sqrt(128).\nAnswer: -24*sqrt(2) + 127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 8*a**2. Let t(c) = -13792*c. Give t(x(r)).\nAnswer: -110336*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/5 + 20*m**2 - 250*m.\nAnswer: -2*m*(m - 25)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 1. Let x(v) = -v**3 - v + 17. Let z(r) = -10*r**3 + 5*r - 80. Let q(s) = 5*x(s) + z(s). Give 10*g(i) - 2*q(i).\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10504831 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(96)\/sqrt(3) + -4 + 0.\nAnswer: -4 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -5 - 56\/20?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**5 - 720*r**4 + 8*r**3 + 1440*r**2 - 4*r - 720 = 0. Calculate r.\nAnswer: -180, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -10. Suppose 0 = y*c - 6 - 6. Let r(b) = b**3 - 4*b**2 + b - 5. Determine r(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**2\/2 - 110281*d\/2 - 36761 = 0. Calculate d.\nAnswer: -2\/3, 36761","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 - 5*x**2 + 5*x - 4. Suppose -5*f + 2 = -18. Give v(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-4\/7)*a*a**(1\/4)*a)\/(a**12\/((a*a*a**(-18))\/a)) assuming a is positive.\nAnswer: a**(-737\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 46*n**2 + 4 + 0.\nAnswer: 46*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*l + 32 + 6 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233 = 5*s - m - 684, -s + 5*m = -95. Calculate the highest common factor of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8500 - 204073\/24. Let f = 2296969\/20 + -114845. Find the common denominator of f and a.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -11*k + 14. Suppose -57 - 69 = 3*b. Let f = b + 30. List the prime factors of p(f).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78 + -69. Calculate the remainder when -2 + 24 + 2\/1 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 129, 148, 185, 246?\nAnswer: 337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 17127*x**2 - 2*x**3 - 17 - 8565*x**2 - 8562*x**2.\nAnswer: -2*x**3 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 509*i**2 - 997*i - 38. Determine h(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5823, -5, 48, 3.\nAnswer: -5, -1, 3, 48, 5823","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1992\/82355 + 2\/905. Let r(t) = -t**2 - 26*t + 232. Let g be r(7). Which is bigger: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**0*v*v**(-7))\/(v*v\/(v**(-2\/3)*v*v*v)*v*v)**(-1\/7)*(v\/(v\/((v\/(v*v**0))\/v)))\/v**(-4\/3)*(v**(1\/3))**(3\/14) assuming v is positive.\nAnswer: v**(-61\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**4 - 2150840*w**3 + 12905076*w**2 = 0. What is w?\nAnswer: -2150846, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, o: 3}. Give prob of sequence koo.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a millennium in centuries?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 408.3 or -5\/61?\nAnswer: -5\/61","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -3\/4073?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - (2*sqrt(20) - sqrt(20)))\/sqrt(10) - (-2 + (sqrt(2) - 2*sqrt(2)))**2.\nAnswer: -6 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1059963 a multiple of 305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16485 + 494693\/30. Let s = -3\/343 + -3422\/40131. Find the common denominator of x and s.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -183ca?\nAnswer: -183cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 143 - 150. Let h be (12 - 1) + 4 + g. Let f(j) = j**2 - 8*j + 5. What is f(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzuu when four letters picked without replacement from zgcwugjwugu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1277016 and 0.021.\nAnswer: 1277016.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 16. Let v(z) = z**3 - 2*z**2 + 3*z - 3. Let g be v(2). What is the second derivative of -5*f**5 + g*f + 3*f**5 - m*f**5 wrt f?\nAnswer: -100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 471676 = 35108. Suppose -3*r + u + 62072 = 0. Round r to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2511080 + 165788920 = 34*r. What is r rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(50) - (-4 + sqrt(50)*1)) - (sqrt(1250) + -5 + 1 + sqrt(1250)))**2.\nAnswer: -1200*sqrt(2) + 5144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 117319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139862.\nAnswer: 2, 69931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.183 - 0.768. What is h rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 5. Let q(v) = -v + 8. Let z be q(7). Let c be -2 + 1 - z - -4. Suppose c*h = -0*h + 8. Calculate y(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -97, 1, -0.05?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/10408 and -5\/88?\nAnswer: 114488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20411 = 928*s - 12997 for s.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15520 and 3620.\nAnswer: 2809120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -2 + 161 + 2. What is the common denominator of -15\/8 and (x\/1152)\/(10\/28)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1102422*q - 1102381*q - 1968 for q.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*l**4 - 423*l + 631?\nAnswer: -32*l**3 - 423","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 7 = 4. Let p = l + -8. Let q be -7 - -6 - 13\/p. Which is the nearest to 0.1? (a) -0.1 (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -29*g - 15. Let n be f(-3). What is the highest common factor of 48 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7974*j + 7961*j - 15925*j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(5\/6)\/(u\/u**20)*(u**(-24))**(12\/5) assuming u is positive.\nAnswer: u**(-1133\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-2 + 8 - (5 + -2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 3:57 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72878237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 4*s**2 - 3*s + 12. Let p be r(-5). Is 1 - (2 + (1 - p) + -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 s when three letters picked without replacement from rrsrshnnnr?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 206\/3 - 68. Let q = 3.845 - -0.155. Which is the second smallest value? (a) p (b) -0.03 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.0635, 3, -1\/4?\nAnswer: -0.0635","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -9*c**3 + 361*c**2 - 13*c - 13. Let l(h) = 4*h**3 - 182*h**2 + 6*h + 6. What is -6*g(x) - 13*l(x)?\nAnswer: 2*x**3 + 200*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + 7*b + 3. Let q(u) = 6*u**2 + 20*u + 9. Let y(h) = 4*q(h) - 11*x(h). Let k(i) = -i - 1. Let w be -3 + (-14 + 11 - -9). Give w*k(p) + y(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1300343 - 4?\nAnswer: 1300334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4187436 rounded to four dps?\nAnswer: -0.4187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccjjcjccccajncca. What is prob of picking 1 j and 1 n?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11172 is divided by 107.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 968\/(-165) - (-3)\/(-9) - -7.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(72) + 1 + sqrt(72)*-2 + sqrt(72)) + -1 + (sqrt(72) + -1 + sqrt(72) + 2 + 1)*-1)**2.\nAnswer: 96*sqrt(2) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1078848046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 (base 9) in base 5?\nAnswer: 2213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1635 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -833096 - -1429096. What is m rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 4. Which is smaller: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 323\/70 - 49\/10. Let n = -23.022 - -0.322. Let c = n + 23. Put -2\/9, k, c in ascending order.\nAnswer: k, -2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (405\/(-729))\/(5\/(-2)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26429443*i**2 - 46154698.\nAnswer: 52858886*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0\/(-1) + 1 - -40 is divided by ((-39)\/(-26))\/(2\/28).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -33. Suppose 2*m + 15 = -5*d, 0*m - 5*m + 2*d = -n. Solve m = -5*l + 6*l + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 and 608\/(-57)*135\/(-20)*(-59)\/(-4).\nAnswer: 13806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216026 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -253373\/40 + 6334. Let g = -3\/40 - w. Which is the third smallest value? (a) -1 (b) g (c) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*d**3*s + 23*d**3 + 24901*d*s + 28353191*s wrt d.\nAnswer: 12*d**2*s + 69*d**2 + 24901*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (12\/5 + (-28)\/70)\/(-9)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of u**4\/2 - 14*u**3\/3 + 5*u**2. Is c(8) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7281\/(-6472)*10\/18.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-5 + sqrt(7)*2 + (1*sqrt(28))\/sqrt(4))**2 - 6*(sqrt(252) + -1)) + 4.\nAnswer: -66*sqrt(7) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-4) - 2*(-1)\/4. Suppose -2*q - 4*o - 45 = -7*q, 0 = -5*q + o + 30. Solve v = -5*p - 21, -p = j*p - q*v + 11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/360 and -119\/15560.\nAnswer: 140040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25255283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5113805?\nAnswer: 5, 1022761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 - 3*y)*(0*y**2 + 0*y**2 + y**4) - 39*y**5 - 462*y**3 + 464*y**3 + 4*y**5.\nAnswer: -38*y**5 + 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 2536\/143 and 17 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 2 - 2)*(u + 3*u - 6*u) - 26 + 2*u**2 - 17 + 46.\nAnswer: 6*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2825489 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 1504160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 25 = -9*z + 6*z, -2*z + 3*m - 25 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/(6\/21) + 4 is divided by (-68)\/374 + 7 + -7 - (-158)\/22.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2 - 6. Let a(d) = -d**2 - 1 + 6*d - 2*d - z*d. Let w(g) = 3*g**3 - 12*g**2 - 15. Let s(m) = 15*a(m) - w(m). Factor s(r).\nAnswer: -3*r**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13922?\nAnswer: 2, 6961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -541117 (base 9) in base 12?\nAnswer: -136637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q. Let w(t) = 338*t**2 + 1851*t. Let v(m) = 5*o(m) + w(m). What is the second derivative of v(y) wrt y?\nAnswer: 676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 387\/13 < 569.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*q = -25 - 222, 0 = 5*u - 4*q - 390. What is the remainder when 5843 is divided by u?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 19 = -33. Let u(s) = -63*s + z*s + 38*s. Let r(x) be the third derivative of x**6\/60 + x**5\/60 + x**4\/8 - x**2. Calculate -r(k) + 3*u(k).\nAnswer: -2*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 14)*(-3)\/(6\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 2*h**5\/7 + 16*h**4\/7 - 847590*h**3\/7 + 1695124*h**2\/7 - 847552*h\/7 = 0?\nAnswer: -656, 0, 1, 646","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48453*r + 3240 = 48534*r for r.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**2\/2 + 311*l - 620 = 0.\nAnswer: 2, 620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 211936 and 45880.\nAnswer: 32850080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 33 + 3. What is the lowest common multiple of 4 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 252 and 1400364?\nAnswer: 1400364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3155323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*r**3 + 89*r**3 + 44*r**3.\nAnswer: 83*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -15 - -6b?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31 - 18. What is the highest common divisor of p and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*n + 72, 5*n + f = -4*f - 100. Let g = n - -16. Solve g = 5*z - 5, -5*z = 2*w - 4*z + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 4*c**2 - c + 3. Let s = -31 + 35. Give h(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffzffzfzfzzfzzzz. Give prob of picking 1 z and 1 f.\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.4 - -4.11. Let l = h + -0.01. Let x = 8 - 9. What is the nearest to x in 4, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1692 greater than 1690?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -827565, -827579, -827615, -827685, -827801?\nAnswer: -827975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6879 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1421134 - 6?\nAnswer: -1421143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 301 + -13153455?\nAnswer: -13153154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 - -1 - (-114 + 95)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -525 + 545. Solve 0 = -3*n - o, -j*o - 5 - 10 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1304\/3586)\/((-5)\/(-11)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 759319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2352*y**3 + 3948*y**2 - 7467*y\/4 + 1083\/4 = 0?\nAnswer: 19\/56, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 9:44 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 6) to base 3.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -n + 28331, -2*n - 4*k + 41101 + 15555 = 0. What is n rounded to the nearest one thousand?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 8664 - 2276. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 34 - 20 = 3*g, -5*p + 4*g = 25 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20490 is divided by 74.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-27)\/(-2))\/((-51)\/306). Which is smaller: x or 6\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjlljk. What is prob of picking 1 k and 1 j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/36)\/(-17*(-994)\/952)*3.\nAnswer: 2\/213","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1096 divide 340623790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 + 6*h + 2. Let d be c(6). Let t = 65 - 65. Suppose d*v + t*v - 2 = 0. Does v = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 8*v**2 + 10*v + 189. Calculate s(7).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -4*m - 14, v = -1613*m + 1617*m + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1658.25275 rounded to the nearest ten?\nAnswer: -1660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54 + 854*d**3 - 415*d**3 - 186 + 472*d**3 wrt d.\nAnswer: 2733*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17036 is divided by 60.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6283 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -294 + 291 + -19 + 1 + 1 + 3?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 642143000 rounded to the nearest 1000000?\nAnswer: 642000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 5*f**2 + 5*f + 1. Let q be t(-4). Let x = -4 + 4.5. Let w = -4 - 1. Put w, q, x in descending order.\nAnswer: x, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k + 4 + 7 - 7. What is the lowest common multiple of n(3) and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -n + 3. Let h = n + -14. Suppose -h = -0*p - 3*p, 4*v + 5*p = 10. Solve v*a + 15 = -3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 15 = 4*u, -2*p + 7 = 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3382d + -4?\nAnswer: 33829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 9606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 4. Let l(b) = b - 8. Let z be l(-6). Calculate the common denominator of w\/(-14) + (-69)\/z and 7\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + 5*sqrt(170)*2)\/(sqrt(40)\/sqrt(36)).\nAnswer: 33*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 938, 1816, 2690, 3560?\nAnswer: 4426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1528419 divided by 3?\nAnswer: 509473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i - 1157 + 1157.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-15 + (12 - 16))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37066766 rounded to the nearest 100000?\nAnswer: 37100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44677 - -25518. Let s = z + 39108. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -121\/92751 - -188465009\/19848714. Let a = j - -2\/321. Calculate the common denominator of 1\/2 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a meter in millimeters?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 20. Let a be n(-15). Suppose 4*q = a*i + 70 - 561, -2*q - 293 = -3*i. What is the remainder when i is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/39))\/(v*v**(1\/4)))\/((v\/(v*v**(5\/9)))\/v**(-5\/4)) assuming v is positive.\nAnswer: v**(-233\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {o: 10, p: 9}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 374160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s. Let t(d) = 2*d**2 - 24. Calculate t(x(i)).\nAnswer: 8*i**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 20 = 5*j, -2*s = j - 4*j + 16. Let h = -13 + 12.9. What is the second smallest value in 0.5, j, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -0.9, 6, -2, -28774?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -8. Suppose 50*m = 45*m - 25, -4*m + 300 = 5*z. Calculate the greatest common factor of z and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 5 - 53)*(-2*p - p + 5*p).\nAnswer: -126*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1323333123 (base 5) in base 3?\nAnswer: -20021200022212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 119.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 196 and 62776588.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 691658.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 8*z**2 + 4*z - 14. What are the prime factors of p(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 4*j**2 + 5*j - 5. Let k be v(1). Let i = -21 - -20.8. Which is the closest to i? (a) 0.1 (b) k (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -42.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 762520009.\nAnswer: 41, 18598049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**2 - 17*x + 40. What are the prime factors of u(17)?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**3 - q**2. Let s(j) = -2*j**2 + 2*j + 2. Let g be s(-1). Let t be y(g). Suppose 4*f = -0*f + 3*l + 19, 2*l = -2*f + t. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f - k + 66 = 0, -10 = -5*k. Suppose -3*u - 184 = -7*u. What is the remainder when u is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5017301.71 rounded to the nearest 100?\nAnswer: 5017300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 15. Suppose -15 = -5*q - u. Suppose -q*k + 3*s = -24, -k - 2*s - 40 = -5*k. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/17 and -98\/255.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 184 = -4. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17168149, 17168159, 17168179, 17168215, 17168273, 17168359, 17168479?\nAnswer: 17168639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-33)\/m*m*m)\/(m*(m\/(m*m*m**(1\/9)))\/m)*m*m\/(m**(-2\/7)\/m)*m**(4\/3))**(-4\/7) assuming m is positive.\nAnswer: m**(6116\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*n*u**5 + 28*n*u**4 + 7*n + 4*u**4 + 36*u**2 + 22 wrt u.\nAnswer: 1680*n*u**2 + 672*n*u + 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -413*v**7\/30 + 806*v**5\/15 - 3210*v**2. What is the third derivative of b(k) wrt k?\nAnswer: -69384*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 37. Suppose b + 6*t - t = 12, b + 4*t = p. Suppose -u + 5 = -b. Calculate the remainder when u is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = c. Suppose -2*a - c = -4. Which is smaller: -1\/5 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w - 42. Let l(u) = -2*u + 1. Let f(b) = 20*l(b) + 2*z(b). What is the units digit of f(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - y + 9 = 0, -649 + 660 = 4*m - 5*y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -35, -0.2, -4, -2\/23?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 275*v**2 - 549*v - 1354. Give m(277).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z - 19015 = -20200 for z.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*z = 74, -72*o + 77*o - 2*z - 410 = 0. Solve 0 = -o*p + 126*p - 210 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from {i: 1, k: 1, f: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 4. Suppose 11*d - 48 = 7*d. Let n = -15 + d. Determine v(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 14 + 11 + (-1 + 4 - 1)*(-2 + 5 - 2)*(2 - 4 + 5))*(2 - 2 + 3*t**2).\nAnswer: 150*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*1*4\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 36 = -3*t, 3 + 9 = -3*t. Let z be 5*6*((-48)\/(-10))\/4. Let j = 43 - z. Which is greater: o or j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + 3 + -54 + 121 + -54.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6579*w**5 - 2499*w wrt w?\nAnswer: 131580*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 360271*f**3*k - 1730482*f**3 + f*k**4 wrt k?\nAnswer: 360271*f**3 + 4*f*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25.042 + 0.042. Let g = 25.1 + s. Let x = -0.15 - -0.05. What is the nearest to g in x, -3, 2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 104 + -1b?\nAnswer: e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-6*sqrt(720)*-2*6 + 1)*-5)**2.\nAnswer: 1555200*sqrt(5) + 3359232900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -14. Let u(a) = -2*a + 5 - 2*a**2 - 2*a - a**2 + 7*a**2 + 0*a**2. List the prime factors of u(g).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -22028.\nAnswer: -3\/11014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*y + 102 = 0, x + y - 52 + 7 = 0. What are the prime factors of x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-780)\/(-364)*(-12)\/(-20).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c + 7*c + 1 + c - c to v + y*c and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 1071*t. Let g(y) = 2*y - 30. What is g(j(u))?\nAnswer: 2142*u - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3407984.\nAnswer: 2, 212999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7298.\nAnswer: 2, 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -v**2 - 28 + 28 - 5228*v**3 + 7736*v + 5913*v**3 wrt v?\nAnswer: 4110*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19297 + 485?\nAnswer: -18812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 8\/7, 1\/4, -26, 40?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 793 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 - (-3)\/(-1))*1. Let s(j) = 8 - j - j**3 + 2*j**2 - d - 8*j + 12*j. What is s(4)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 6 = 2*q. Suppose 0*m = 4*m - q*i + 6, -i + 3 = -m. Solve -z = 4*p + 4, m = -5*z - 5*p + 9 + 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2290796537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 449, 458, 467, 476?\n\"Answer: 9*s + 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3157\/(-22) - (-7 - 0))*((-40)\/(-6))\/10.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (616\/2450)\/(-22)*(-2)\/(-4)*(-41 - -51).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y - 50 + 50 - y + 6*y - 3*y - 5*y + 4*y - y + (5*y - y - 2*y)*(-1 + 4 - 1).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 0, -1, 132, -74, 1 in decreasing order.\nAnswer: 132, 61, 1, 0, -1, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -2\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4001449, 8002895, 12004341, 16005787?\nAnswer: 20007233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*5\/((-105)\/(-4)))\/((840\/90)\/28)?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -4 + (2 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 32*x**3 + x**2 + 12*x - 7. Let h(w) = 38*w**3 + w**2 + 14*w - 7. Give -6*c(s) + 5*h(s).\nAnswer: -2*s**3 - s**2 - 2*s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 r when three letters picked without replacement from rfrfffrf.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 37063, 37062, 37061?\n\"Answer: -k + 37064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 7:11 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*s + 2*r, 0 = -4*s - 3*r + 3. Solve 2*u + 5*f = -s*u, u = -4*f for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/10*(-2 + 0). Let h = 3\/4 - t. Let u = 0.251 - 14.251. Which is the nearest to 2\/3? (a) h (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 16) to base 2.\nAnswer: 100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 11*h - 32. Let o be l(-4). Let z be -1 - 1*o\/(-4). Calculate the highest common factor of z and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2714 - 18720 = -53*m. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 897, 1962, 3027, 4092, 5157, 6222?\nAnswer: 7287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 340*a**2 + 44*a + 323. Is s(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0*y\/((y**(-3)*y)\/y*y))\/((y\/y**(3\/2)*y)\/(y*y\/y**(-3\/7)))*(y**(-1\/2))**(-1\/35)\/(y\/y**(-1))**(-22\/3) assuming y is positive.\nAnswer: y**(2059\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 11*o - 3. What is d(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0*(4\/8)\/(-1). Suppose l = -5*f + 4*f + 3. Is (-1)\/f*3 + 8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 1)*0\/(-2 - -4). Let m be (76\/(-6))\/(4\/(-36)). Suppose -m*s + 110*s + 760 = u. What are the prime factors of s?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -109 + 108.9991. What is f rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + 0.1. Let m = -11 + 9. Let n = -8 - -11. What is the third biggest value in f, n, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 10*a - 2320. Suppose 3*r + 3*q = 4*q + a, -3*q - 307 = -2*r. Let v = r + -76. List the prime factors of v.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 15162*o + 121104.\nAnswer: 3*(o + 8)*(o + 5046)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 224 + -128. What is the common denominator of 107\/30 and 392\/p*5\/((-25)\/2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 745?\nAnswer: -3\/745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**4\/4 - a**3 - 2*a**2 + 4*a + 16. Calculate x(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 7262, 31190, 71786, 129050, 202982, 293582?\n\"Answer: 8334*b**2 - 1074*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-5)*(-8)\/(-72)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19\/33 or 0?\nAnswer: -19\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2 = -2*f. Let o(g) = g - 1. Let q be o(6). Suppose -f*c = 3*v - 7*v + 8, -v - 16 = -q*c. Solve 4*n = v - 24 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**4 - 2*n**2 + 0*n**4 - 3*n**3 - 14*n + 4*n**2 + 13*n as h*n**4 + k*n + y + i*n**2 + s*n**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/4213 and -87\/14.\nAnswer: 58982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -93.5 and 350618.2.\nAnswer: 350524.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3515 (base 8) to base 2.\nAnswer: -11101001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -33*l + 292. What is o(-2)?\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*g + 16*g + 3*g.\nAnswer: 48*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b3 - 1b6730?\nAnswer: -1b664a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/38 (b) 1 (c) -0.1 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 12 = -0*r + r, i + 5*r - 16 = 0. Calculate the remainder when i is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16.064 + -16. Let x = c + -0.512. Let s = 0.4 + x. What is s rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -23847*l + 47706. What is p(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(0 + -1) - -2. Suppose -2*g + 0*g = 0. Let h be (g + -1)\/(1\/(-9)). Solve -w - h = 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-184) + (-912)\/(-92). Suppose -a*s = 8*s - 1980. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 != 125?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m + 103*m = 260*m + 205*m + 4901 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 243828 and 1404.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -387, -752, -1109, -1452, -1775, -2072, -2337, -2564?\n\"Answer: f**3 - 2*f**2 - 366*f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -134042333 + -3013?\nAnswer: -134100401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 95?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1990*h**2*r**5 - 459*h**2*r**2 - 2*r**6 + 4*r**2 wrt r?\nAnswer: -119400*h**2*r**2 - 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -658070 = 19714*s - 3290*s + 160308 + 577662 for s.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-1)*(3 - -6). Suppose -4*r + 171 = -h + n, -2*h = r - 36. Suppose -5*v = -57 + 12. Calculate the highest common divisor of v and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2 - 247*z - 1. Let v(p) = 4*p**2 - 250*p - 2. Determine 3*n(x) - 2*v(x).\nAnswer: x**2 - 241*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*s + 6*s - 150, s + 5*h = 25. Suppose -3*o + 259 = -5*g, o - 4*g - 49 = s. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.145 + 0.045. Let d = 2\/3 + -1\/3. Put u, -2\/19, d in increasing order.\nAnswer: -2\/19, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(12\/(-40)*475\/190).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86495 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -68632827 smaller than -68632825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 + 62. Is a a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*935.8.\nAnswer: 655.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(81)\/sqrt(3)*2)\/sqrt(9) + (0 + sqrt(3))**2 + 0 + ((2*sqrt(363))**2 - sqrt(363) - sqrt(363)) + 4).\nAnswer: -8754 + 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v - 12*v - 17*v - 111 + 2*v - v**3 - 26*v**2. Calculate z(-25).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1.5 (b) 4 (c) 87128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.999127 + 0.000873. Let z be (-2*4\/(-16))\/2. What is the nearest to -4 in z, -1, g, -2\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5988, 6685, 7382, 8079?\n\"Answer: 697*m + 5291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2043 is divided by 1036.\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2384, 9612, 21648, 38492, 60144, 86604?\nAnswer: 117872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107635 is divided by 320?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41491*g**3 - 38883*g**2 wrt g?\nAnswer: 248946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 11. Let h(p) = 4658*p**2 + 610*p. Calculate h(u(l)).\nAnswer: 4658*l**2 - 103086*l + 570328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*y**2 + y**3 - 88*y**2 - 43*y**3.\nAnswer: -42*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -1, -1\/4, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/3 - 10*i**2 + 36*i - 80\/3.\nAnswer: 2*(i - 10)*(i - 4)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 73642 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4\/5 - 2*g**3 - 28*g**2\/5 - 6*g\/5 + 9 = 0.\nAnswer: -5, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6528, 13029, 19530?\nAnswer: 26031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) 2 (c) -1.41 (d) 0.1 (e) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19884 - -19885. What is the lowest common multiple of n and 5502?\nAnswer: 5502","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(18\/3))\/((-76)\/2356).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + -12)*(7\/8)\/(980\/(-560)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1574 divided by -186?\nAnswer: -787\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -1.5828.\nAnswer: -1.4828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 120396170.83 and -0.2?\nAnswer: 120396171.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, -37, 4\/5539, -3, 24?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 193, 1, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4907 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*n**2 - 17*n**2 + 30*n**2 + 51*n**2 in the form k + p*n + f*n**2 and give f.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3272.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*f**4\/7 + 988*f**3\/7 + 3610*f**2\/7 + 2684*f\/7 = 0. Calculate f.\nAnswer: -11, -122\/31, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3728 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.518677 to one dp.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/33*-22)\/(8\/14).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(((-8)\/(-3))\/4) - 0. Suppose 2 = -2*s + m*s. Let i = 13 + s. Calculate the least common multiple of 30 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 1ae?\nAnswer: 1b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/7 (b) -208\/33 (c) 4\/5 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*t + 62 + 454 = 0. Suppose -5*s + 72 = -f - 2*f, 0 = -f - 4. Suppose 0 = -0*a - a. Put t, s, a in ascending order.\nAnswer: a, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2232 (base 4) in base 5?\nAnswer: -1144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/b**(-1\/4))*b**5)\/(b**(-1\/2))**(-3\/17) assuming b is positive.\nAnswer: b**(249\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n**2 + 21405668*n - 288975060 = 0 for n.\nAnswer: 27\/2, 2675695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 7*s - 4. Let o = 1 - -9. Let b = -2 + o. Let g be t(b). Calculate the greatest common divisor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 2*y = 4*y + 4967, 2*d - 1998 = -2*y. Suppose 11*v - d = 6*v. Is 7 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45660, -45664, -45668?\nAnswer: -45672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2160866 and 384.\nAnswer: -2160482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.01599, -8\/117, -16, 1?\nAnswer: -8\/117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/4)\/(3\/300). Suppose 4*o = -146 - 154. Let b = w + o. Is 25 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27\/50 + 26\/25. Which is the nearest to -1? (a) 3 (b) n (c) -4\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 49 = -19. Let f be (-2)\/(-2)*u\/(-2). Suppose -3 = -0*g - f*g. Solve 2*h = 3*b + 7, -3*b - 7 = -3*h - g for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 20 = 4*t, -10 = 3*t + 3*w + 11. Is (54\/(-45))\/(t\/140) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, s: 1, t: 1, b: 3, l: 2, y: 1}. What is prob of picking 1 b and 1 s?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 0*u - 40. Suppose -7*k + 2*k = -5*l - u, 5*l - 20 = -k. Solve 4 = -4*m - 4*q, -45 = k*m + q - 6*q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -538033 divided by -5\nAnswer: 538033\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*s - s. Let y be (-4)\/(-3)*s\/(-1). Let r = 3060 + -3056. Sort r, y, 0.\nAnswer: y, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185, 186, 187?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 40159447153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m. Let a(f) = 100*f + 43. Suppose -4*o - 59 = -55. Let u(r) = o*a(r) + 2*p(r). Find the first derivative of u(q) wrt q.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 336 = -632. What is the third derivative of -34061*p**3 + 34061*p**3 + m*p**5 - 135*p**2 wrt p?\nAnswer: 7260*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k - 23. Let t be z(-11). Let b be t\/(-35) - (-4366)\/10. Suppose -b = -4*s - 124. Calculate the remainder when s is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126778*-5\nAnswer: -633890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m + 101. Let w(o) = o - 2. Calculate -g(t) + 3*w(t).\nAnswer: -t - 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-22) - (-68)\/(-132)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25 + 28. Let b be ((-1)\/2)\/(r\/(-12)). Suppose -19 - b = 3*n. Put n, 0, 2 in decreasing order.\nAnswer: 2, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/((-20475)\/156)*21\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 4*s + 22. Let t be l(-5). Let o = 46 + -18. Solve -2 = -2*r - 3*j, t*r + 2*r - 2*j = -o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16634525 is divided by 709.\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*6633\nAnswer: -1989.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1.877895 milliseconds?\nAnswer: 0.0000005216375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (9 + 10 + -6)) + 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26471232 and 2016?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 3 = -2*p, -141*p + 139*p + 2*d = -d - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**5\/9 + 40*v**4\/9 - 64*v**3\/3 + 356*v**2\/9 - 286*v\/9 + 28\/3 = 0. What is v?\nAnswer: 1, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2650, 10640, 23956, 42598, 66566?\nAnswer: 95860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-184)\/23)\/(3\/3138*-1)?\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3245 - 2187. Suppose 790 + z = 6*q. Suppose n = -3*n + q. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 18*c**2 - 2*c + 29. Give l(18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63711.75 meters to kilometers.\nAnswer: 63.71175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -119737 + 180230. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92*11.\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 101838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.986927 days to seconds.\nAnswer: 344470.4928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20361250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/24)\/(-2 + 5\/2). Let w(m) be the first derivative of -3*m - 3\/2*m**2 + h. What is the first derivative of w(i) wrt i?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/6)*g\/g**(-5)*g**(-6)\/(g\/(g**(-2\/9)\/g)) assuming g is positive.\nAnswer: g**(-37\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29909729 + 30338382. Let u = -60248114.9999947 + z. Let l = -4 - u. What is l rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ohd when three letters picked without replacement from {o: 4, d: 2, a: 3, h: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525442901.\nAnswer: 31, 53, 241, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -850794.\nAnswer: 5\/850794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -6*b + 2. Let g be o(7). Let z be (9\/3)\/((-6)\/g). Let v(s) = 0*s + 2*s + 14 - z. Let l(i) = i - 1. Determine -4*l(y) + v(y).\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - 6\/5 - (-416592)\/110. Find the third derivative of 11*k**2 + 3937*k**5 - 2 + 29*k**2 - l*k**5 wrt k.\nAnswer: 9000*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -185*y**3 - y**2 + 9*y - 10. What are the prime factors of j(-3)?\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 538435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1031738988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-5)*(-261)\/18. Let p = z - 691\/35. Calculate the common denominator of p and 51\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-1 + 2 + 15)) + -22?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -1\/3*v**3 + 0*v**2 - 1 + 0*v. Let k(x) = 3*x + 2. Let d(y) = -7*y - 5. Let i(t) = 4*d(t) + 10*k(t). Calculate i(f(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9699 and 298351?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 6:42 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 144.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, o: 2, x: 1, w: 2, a: 1, e: 1}. Give prob of picking 1 w and 1 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.022541517 rounded to four decimal places?\nAnswer: 0.0225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**2 - 124*a + 122 = 0?\nAnswer: 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*o**2 - 1)*(1 - 1 + 2*o) + (-4 + 5 - 3)*(o**3 + 12*o**3 + 9*o**3).\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 148 - 11 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -22511335, -45022648, -67533961, -90045274?\n\"Answer: -22511313*r - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*k - 4*k + 0*k)*(1 - k - 1)*(-18*k**2 - 59*k + 59*k)*(-2 - 3 - 3)*(0 + 0 + 3).\nAnswer: -864*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1.98 * 175033\nAnswer: 346565.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - w = 3266, -309*q = -314*q + 2*w + 8168. Calculate the remainder when q is divided by 398.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -292, -420, -538?\nAnswer: -646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 8*w**2 - 4*w - 3. Calculate m(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1039.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 32*b + 176. Let k be w(-5). What is the remainder when -753*((-8)\/k)\/((-6)\/(-4)) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2 - 1 + 1 + b. Suppose -5*x - 2 - 8 = 0. Let j be (0\/x*-1)\/(-1). Give r(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*l**2 + 2220*l - 2192.\nAnswer: -4*(l - 1)*(7*l - 548)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3)*45\/6. Solve -1 = -r*p + 4*j, -3*p - 3*j = 2*j - 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -3 in decreasing order.\nAnswer: 5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11106)\/10 - 12\/(-20). Let b = r + 1137. Calculate the remainder when b is divided by 4 + -1 + 1 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 0 + 0*d + 17*d**2 - 5\/8*d**4 + 23\/60*d**5 - 1\/120*d**6 - 3*d**3. Is f(19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/4 + (2 - (-22)\/(-14))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2174932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18*a*k*n**4 + 842*a*k + 4*a*n**4 wrt n.\nAnswer: 72*a*k*n**3 + 16*a*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r**2. Let y(b) = -b**2 + 8*b - 1. Suppose -43 = -5*v - 8. Let m(f) = -f**2 + 8*f + 1. Let i be m(v). Let p be y(i). Determine q(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25810.\nAnswer: 2, 5, 29, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(121) - sqrt(121)*-1) + sqrt(121))*3)\/(1*sqrt(1100)*-4).\nAnswer: -9*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 4*c + 8 = 0, -3*i = 4*c - 2918 + 2926 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2441 by 6.\nAnswer: -2441\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*k + 1 = 2*g, k + 3 = 0. Let n(w) be the first derivative of 0*w**3 + 1\/4*w**4 - w**g + 0*w - 2. What is the second derivative of n(v) wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/d**3)\/d*d)\/d)**(1\/30)*d**(-2\/29)\/(d\/(d\/d**(-14\/5))) assuming d is positive.\nAnswer: d**(1159\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 685 + -673. Let i = -7 - -8. Suppose 0 = -2*w - 5*k - 5, -1 = 5*w + 2*k + i. Solve w = -2*v + 5*v - o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 14*o**2 - 1. Let j be n(2). Suppose 4*u = -j + 191. What is the remainder when u is divided by -3 - (-2)\/1*(-30)\/(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j = 99 - 57. Suppose -3*o + 15 = j. Solve -o*z - 20 = -4*b, -z + 2*z - 2*b = -9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 422405\/657 + -5786\/9. Which is the smallest value? (a) -5 (b) 2\/13 (c) t (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000607 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/7)*p*p)**(4\/23)*(p*(p**2*p)\/p)**16)\/((p\/(p\/(p*p**3\/p*p))*(p\/p**(-1)*p*p)\/p*p*p)\/(p**7*(p**1\/p)\/p)) assuming p is positive.\nAnswer: p**(7309\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w**2 + 5*w**2 + 0*w**2.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -20291*q + 202886. Determine v(10).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 144 = -2*v. Let i(q) = -q**3 + 12*q**2 + 25*q - 8. Let d be i(14). Let g = d - v. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143593?\nAnswer: 143593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 9:50 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4 = 3*v - 218, 3*b + 150 = 2*v. Calculate the highest common factor of 24 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 8*y + 15. Let k = 6 - 2. Let q(v) = -v**3 - 7*v**2 - 7*v - 5. Let a be q(-6). Sort a, y, k in decreasing order.\nAnswer: k, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -1108*w + 8259. Is k(0) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*j**2 - 33901*j + 33901*j.\nAnswer: -37*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 2*s + 8. Suppose -5*z = -7*z - 5*f - 7, -z = 4*f + s. Solve 0 = n + z*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15672141*i**2 - 47*i - 41719 wrt i?\nAnswer: -31344282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbvqu. What is prob of picking 1 q and 1 b?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - 2*w**2 + 3*w)*(4 - 3 - 5 - 2 + 2 + 1 + (-4 + 3 + 0)*(-2 - 2 + 3) - 4 + 0 + 3)*(2 - 6*w - 2).\nAnswer: -36*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 10:10 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2925, -12250, -27805, -49584, -77581, -111790, -152205, -198820?\n\"Answer: i**3 - 3121*i**2 + 31*i + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r - 2*r - 3*r + (-5 + 11 - 5*r - 7)*(-47 + 99 - 58).\nAnswer: 28*r + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)\/(q*q**(-3)))\/(q**(-4))**(18\/5) assuming q is positive.\nAnswer: q**(67\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2358 - 2386. Let l be (-2)\/7 - (-40)\/42. Which is greater: j or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104\/8 - (7 + -21) - 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3663*o**2 + 2 - 2 - o + 2*o - 3688*o**2 to d*o**2 + j + f*o and give d.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 209.6 at most -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*p + 2*p + p)*(2 + 2 - 3) - 27*p + 8*p - 25*p in the form q + b*p and give b.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.267 - 0.233. Suppose 0 = b + 2*b. Put -8, q, b in descending order.\nAnswer: b, q, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 19*y - 90. Calculate l(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224*u + 26550 = 35*u + 1127*u + 89*u for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/61050 and -53\/10.\nAnswer: 61050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 118, 456, 1036, 1876, 2994, 4408, 6136, 8196?\n\"Answer: 3*o**3 + 103*o**2 + 8*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 2*n = -27, 6*j - 21*n = 9*j - 27 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43447013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*d**2 - 10766*d - 10760*d + 21526*d.\nAnswer: -104*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2598286, 2598659, 2599032, 2599405?\nAnswer: 2599778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1431036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) -0.07 (c) 1\/5 (d) 12.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151 (base 9) to base 16.\nAnswer: 7f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6620 (base 9) to base 3.\nAnswer: 20200200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11143071?\nAnswer: 3, 1238119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 9*m - 7. Let l(u) = -u**3 - u**2 + 5*u + 2. Let a be l(-3). Suppose -x + 21 = -3*y, 4*x - a*y - 28 = 21. Is 11 a factor of q(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - 38 - 6\/(-10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*i**2 + 110 - 110)*(127 + 201 - 72).\nAnswer: 1792*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-6)*28\/(-63).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 93291 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -0 + 2. Suppose 0 = -0*q - 2*q + 8. Let m = -1 + q. Is m equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 102 = -2*x. What is the greatest common factor of x and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28\/13 in -0.0143, 1.5, 2?\nAnswer: -0.0143","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4221*k - 5808 wrt k.\nAnswer: -4221","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29 and 27637.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 17 + 2 + 2*m)*(-7816*m**3 - 252*m**2 + 2 + 15633*m**3 - 7815*m**3) to t + i*m**3 + a*m**2 + d*m + q*m**4 and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (6 - 1)) + -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-14 + -5 - -11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -901 + 897. Let o(j) be the first derivative of -j**4\/4 - j**3 - j**2\/2 - 4*j + 2. Calculate o(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kddd when four letters picked without replacement from ddkdddkddkdkdddddd?\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5294 divided by -16\nAnswer: 2647\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c + 11. Let a be z(9). What is the highest common divisor of a and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s + 3. Let x be i(0). Suppose -4*a = -x*a + 1. What is the common denominator of 61\/6 and ((-267)\/21)\/(a + -1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 34*g**4 + 5*g**3 + 5*g - 125. Let i(d) = 35*d**4 + 4*d**3 + 4*d - 125. Let f(w) = 5*i(w) - 4*t(w). What is the first derivative of f(c) wrt c?\nAnswer: 156*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 51*l + 687. Let h be a(-3). Are h and 534 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 5*j**8\/28 - 122*j**7\/105 - 463*j**6\/30 + 363*j**5\/5 - 4*j**4\/3 - 280*j**3\/3 - 2575*j**2. Find c such that q(c) = 0.\nAnswer: -5, -1\/3, 2\/5, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 5, n: 1, e: 2, w: 3, u: 3, k: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 66464 divided by -4\nAnswer: -16616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.21 + 16.21. Let x = 16.2 - y. Let i = 3.8 + x. Which is the third biggest value? (a) -3\/8 (b) 4\/7 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 take away -1460.9553?\nAnswer: 1398.9553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-4 - -7) + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -13*f + 1000. Suppose 5*a + 1000 + f = 0. What is a rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**(1\/4)\/b))\/b)**(-2\/33)*(b\/(b\/b**(1\/3)))\/((b*b**(-3\/5))\/b*b) assuming b is positive.\nAnswer: b**(-37\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 4:41 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zd when two letters picked without replacement from {j: 2, r: 4, z: 2, d: 6, a: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 87.6 - 88. What is the closest to 1 in 5, x, 2\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31447 - 4*m - 62894 - 19*m**3 + 18*m**2 + 31445 in the form q*m**3 + d*m**2 + l*m + o and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 214900 and 40.\nAnswer: 429800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 + 3*r + 2. Let i be (-5 + (-5 - -2))\/2. Let j(u) = -u**2 - 2*u - 1. Give i*x(t) - 7*j(t).\nAnswer: -t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 592.747 - 303.093. Let k = c + -290. Let y = k - -0.42. Round y to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + u = -17, -7*o + 5*u = -2*o - 40 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20655 and 4050?\nAnswer: 206550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**6\/1800 + m**3\/2 + 3*m. Let y(l) be the second derivative of z(l). Factor y(g).\nAnswer: g**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 15. Suppose 2 = h*t + w - 13, -3*w - 9 = 0. Let q = 48 + -47. Solve -5*u = q + t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17497964 a multiple of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 112839968 and 11024?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 1488259355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 55 = -22*g. Let m(v) = 11*v - 28. Calculate m(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 9) in base 15?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 23*f - 261. Is n(41) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 19316, -1120 in descending order.\nAnswer: 19316, -6, -1120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/70 - (-26)\/7. Let l = -187 - -189. Solve 15 = -l*z - 5*s, -5*z + o*s + 10 = -2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c**3*q + 9*c**2*q**2 + 8*c*i - 7*i*q**2 - q**2 with respect to c.\nAnswer: 6*c**2*q + 18*c*q**2 + 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 13. Let s(o) = -o. Let v(x) = -5*x + 3. Determine j*v(f) + 3*s(f).\nAnswer: 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/((sqrt(5) - sqrt(5)*2*6) + sqrt(5))*3.\nAnswer: -3*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**4\/5 - 291*u**3\/5 - 1197*u**2\/5 - 1509*u\/5 - 606\/5 = 0.\nAnswer: -2, -1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -2. Suppose 4*z - t*q = 4, 29 = 5*z - 2*q + 5*q. Suppose 44 - z = a. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1016)\/(-381)*27\/6\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k + 20*k. Let r be -1 + 1 + -18*3. Let q be r\/(-9)*(k - -1). Solve -q*d + 6 = -8*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k**2 + 0*k**2 + 3*k**2)*(-2 + 3*k + 0*k + 2*k) in the form l + m*k + w*k**3 + v*k**2 and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 11 = -22. Let s(r) = r**3 - 4*r**2 + r + 9. Let b be s(i). Solve -4*j - 5 = j + 5*c, 2*c + 2 = b*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c (base 15) in base 5?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*r - 4113 - 3039 - 2286 = 0 for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/5*10*20\/(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1.4. Let r = 5 - 5.02. Let z = r + -0.08. Sort i, z, -1.\nAnswer: -1, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 323345 - -1?\nAnswer: 323346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-12))\/(i**(2\/23)*i*i)*(i*i**(4\/5)*i)\/i*i\/i**(-24))**(-4\/13) assuming i is positive.\nAnswer: i**(-6308\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(5\/3)\/(u*u**5)*u*u\/(u**1*u*u)*u*u**(-7))\/(u*u**4\/u*u*u\/(u**(-2\/3)*u)*u**5*u*u**8) assuming u is positive.\nAnswer: u**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2651137, -2651135, -2651133?\n\"Answer: 2*h - 2651139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.005, 4, 7\/11, -1, -2?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 71695883+15776\nAnswer: 71711659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.4309 to 1 dp.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**5\/13 + 10*l**4\/13 - 2*l**3\/13 - 34*l**2\/13 + 44*l\/13 - 16\/13 = 0.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39\/5, -0.3, -1\/4.\nAnswer: -0.3, -1\/4, 39\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 9 - (0 + -6) - 12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 7\/6*a**3 - 94*a**2 + 0*a - 1\/30*a**5 + 0 + 1\/8*a**4. What is t(5)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -20*l - 2*l**2 + 1 + 3*l**2 + 19*l. Let t be n(-1). Suppose t*z - 5*z = -36. What is the highest common factor of z and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**5 - q**5 + 2*q**5 + (-q**5 - 5*q**5 + q**5)*(1 + 3 + 2).\nAnswer: -32*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 424671763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 1080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = 12*u - 14*u - 4*a, 135 = 2*u - 3*a. What is the remainder when 2012 is divided by u?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*r + 162 = 393*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -677 - -677. Let p(f) be the first derivative of 2 + 0*f**2 + 0*f + t*f**4 + 0*f**5 + 2*f**3 - 5\/6*f**6. What is the third derivative of p(w) wrt w?\nAnswer: -300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 + 0.34. Let o be (-368)\/1008 - (-6)\/27. Which is the nearest to l? (a) 1 (b) -2\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -30?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dduxissw. What is prob of picking 1 d, 1 x, 1 u, and 1 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 80, 35, -2, -1, -5 in descending order.\nAnswer: 80, 35, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 171 - 100. Factor h**3 + 63 + 12*h - y - 5*h**3.\nAnswer: -4*(h - 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21011010 - -11?\nAnswer: 21011021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 432522093 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 5 = -5*a, 4*x = -3*a + 10 + 19 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 5*h**2 - h - 2. Let j be y(-5). Suppose x + 4 = -j*x. Let r be (-6)\/(x*(-4)\/(-2)). Solve 0 = 3*v + i + i + r, -5 = v + 2*i for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -598 >= -594?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 9:15 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 627 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/2 and (-8)\/(8768\/5628) + 5.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1010351849*q - 273324460 wrt q.\nAnswer: 1010351849","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -58*g - 285. Let w(y) = 7*y**2 + 3*y + 5. Let j(f) be the second derivative of 2*f**4\/3 + 2*f**3\/3 + 3*f**2 - 9*f. What is g*w(n) + 4*j(n)?\nAnswer: -3*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -5117.301608 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 1\/5, 3, 0 in increasing order.\nAnswer: -50, 0, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x + 21*x - 6*x + 9 - 7*x.\nAnswer: 5*x + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 + 2*v**3 - 2*v**3 + (1 + 0 + 0)*(0*v**4 - v**4 + 2*v**4) + 6*v**4 - 8*v + 8*v + 24*v**4 + 3*v**2 - 2*v**4 - 4*v**2.\nAnswer: 30*v**4 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 334121112 + 120?\nAnswer: 334121232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 9:40 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 t, and 1 c when three letters picked without replacement from {c: 1, i: 1, o: 1, t: 1, v: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-2)\/6)\/((-2)\/(-9))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 12 = 2. Let z = v + -6. Let i be (-4)\/3 - z\/6. Let a(o) = -o**2 - 2. Let x(m) = 2*m**2 + 5. Give i*x(d) - 5*a(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 3345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add -456.53375 and 14596.1.\nAnswer: 14139.56625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4)*g)**(11\/2) assuming g is positive.\nAnswer: g**(55\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + sqrt(204)*-1*-5 - sqrt(204)) + sqrt(204) + sqrt(204) + (1*1*sqrt(204) - sqrt(204) - sqrt(204)))\/(1*4*sqrt(972)) + 2.\nAnswer: sqrt(17)\/6 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 4*t**2 + 12*t - 521. Let v(p) = p**2 + 3*p - 129. What is 2*k(s) - 9*v(s)?\nAnswer: -s**2 - 3*s + 119","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 5*v**2 - v + 4. Let r be h(5). Suppose x - 1 = 3. Suppose c = -0*c - 4*g + 13, -3*g + 7 = -2*c. Put r, x, c in decreasing order.\nAnswer: x, c, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (157\/471)\/(-1*1\/(-6)). Solve -2*t + w = 2*s, 1 = -5*s - t + 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -206, -462, -822, -1286, -1854, -2526?\nAnswer: -3302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(112)*4*-2*-4)**2.\nAnswer: 512*sqrt(7) + 114692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9277244, -18554495, -27831746, -37108997, -46386248?\nAnswer: -55663499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**3 + 8*w**2 + 4*w - 4. Let j(v) = -v**2 - v + 1. What is 4*j(i) + z(i)?\nAnswer: 3*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785.\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11\/4 - 5\/2. Suppose -w*b**2 + 0 + 0*b**3 + 0*b + 1\/4*b**4 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 323d74?\nAnswer: 323d75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -277, -1078, -2407, -4258, -6625, -9502, -12883?\nAnswer: -16762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ktdcfcdyc. What is prob of picking 1 f, 2 k, and 1 d?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17739*v**5 - 5*v**4 + 3*v**3 - 5*v**2 - 541312*v wrt v.\nAnswer: 1064340*v**2 - 120*v + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 18 = -3*j, -j - 10 = -0*j + 3*s for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -614387593 greater than -614387594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, 22, 81, 160, 259, 378?\nAnswer: 517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3784851, 7569822, 11354779, 15139716, 18924627, 22709506, 26494347?\n\"Answer: -g**3 - g**2 + 3784981*g - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*a - 4*h - 11, 4*a - 10 = 5*h. Let d be 1*(8 + 5)*(-6)\/(-3). Let z(o) = -7*o - 7 - 18*o + d*o + 0*o. Give z(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3706727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -6238 and -2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95 + 103. Suppose -3*x + o*x = 255. Calculate the lowest common multiple of x and 3.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 21629, 3, -5 in decreasing order.\nAnswer: 21629, 5, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glrglgwrnlr. What is prob of sequence lw?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*w**3 + 17*w**3 + 19*w**3.\nAnswer: 30*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1722 a factor of 299269911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.11542 + 39.83058. Let h = n + -40. What is h rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 342134 (base 5) to base 4\nAnswer: 2332021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*o - 2 + 3*o + 6*o)*(2*o + 0*o + o) in the form h*o + n*o**2 + i and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 35\/294*16\/(-20)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -131.8 + 65219889\nAnswer: 65219757.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-22))\/(55\/(-605))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3956 times 1?\nAnswer: 0.3956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 - -3.02. Let t = 0.4 + 0.1. Let u = 226 + -1134\/5. Which is the nearest to -1\/4? (a) u (b) w (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 3*s**2 - s + 2. Let u be f(3). Let h = 0.21 + 4.79. Which is the closest to u? (a) h (b) -5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4755 - 0?\nAnswer: -4755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 40. Calculate the greatest common divisor of 22 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 67968 = 281676. Suppose l = 3*d + 4*c, 2*d - c = 7615 + 4265. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -531262*m - 3787. Let l(z) = 561*z + 4. What is -3787*l(i) - 4*v(i)?\nAnswer: 541*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -2 - (25 - 18)) + 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 14. Suppose 4*j = 3*f + 79, -3*j + 2*j + 41 = -5*f. Calculate the highest common factor of q and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = 50*b - 32*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 5*h**2 + 2*h + 5. Let u be c(2). Sort -4, 18, u in descending order.\nAnswer: 18, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -15. Suppose -k + z = -18. Solve -o = -3*y + 14, -4*y = o - 9*y + k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 12:18 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 368150611781 and 0.1.\nAnswer: 368150611781.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 6 = 4*d. Let k = 3519 - 2092. Suppose p - 4*a - k = -420, 2*p - 1981 = -d*a. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 12663*s**2 - 25335*s + 12669.\nAnswer: 3*(s - 1)**2*(s + 4223)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = x + 6. Let o(r) = 115*r + 7. Let q be o(0). Let y(i) = -5*i**2 + 5*i**2 + i**2 - 7*i + 11*i**2. Let g(n) = -11*n**2 + 6*n. Give q*g(m) + x*y(m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2601 and 100174047.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 430401, 430734, 431643, 433416, 436341, 440706?\n\"Answer: 48*m**3 - 3*m + 430356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 711262*o**4*u + 91*o**2*u - 6238344*u + 2 with respect to o.\nAnswer: 2845048*o**3*u + 182*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -32317*g - 452442. Calculate k(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 18*f**2 - 15*f + 36. Let p be -1 - -4*12\/(-3). Let u be j(p). Suppose -3*k + 0*l = l + 7, -3*k = u*l + 11. Let h(z) = 5*z**2. What is h(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n**3 - 19 + n - 34*n**3 + 40*n**2 + 45*n**2 - 86*n**2 - 61*n**3 in the form y*n**2 + f*n + d*n**3 + z and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245*12\/120*288\/42 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28545\/124 or -231?\nAnswer: -231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3\/13 - 50*y**2\/13 - 1256*y\/13 - 2296\/13 = 0 for y.\nAnswer: -14, -2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + 3*a + 7. Let w(z) = z - 7. Let h be w(11). Let y be n(h). Solve 0 = 2*t - 4*g + 3*g + 1, t - y*g - 2 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m - 3*m - 2*m + 2*m - m - 3*m + (6 - 4 + 0)*(2 - 5*m - 2).\nAnswer: -14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from {e: 6, h: 6}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 11*b**2 - 11*b + 15. Let f be y(-12). Suppose 2*r - 9 - 1 = 0. Let i be (2\/r)\/((-4)\/(-40)). Solve -i*o - z = f*z + 8, o - 2*z = 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4795, -9590, -14385, -19180, -23975?\nAnswer: -28770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 35*b**2 + 17*b - 5. Let o(z) = -12*z**2 - 6*z + 2. Determine 17*o(a) + 6*v(a).\nAnswer: 6*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.14145 - 0.04145. Sort 5, z, 12, -5 in decreasing order.\nAnswer: 12, 5, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -213518.86138 to the nearest ten.\nAnswer: -213520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -503 and 284?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/10 + 1688\/20. Let o = 122 - t. What is o rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 1030?\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 876 divide 29502804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 10*i - 8. Let d = -23 - -34. Let u be y(d). What is the second derivative of -a**3 - 5*a + a**u + 2*a**3 + 2*a**3 wrt a?\nAnswer: 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -193453.7347 to the nearest one hundred.\nAnswer: -193500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -332 + -40a?\nAnswer: -741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**26))\/(q*q\/(q**(24\/11)*q)))\/(q**(3\/7))**(-25\/6) assuming q is positive.\nAnswer: q**(4461\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 48. Let o(b) be the first derivative of -3*b**2\/2 + 82. What is n(o(c))?\nAnswer: 9*c**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 + -2031.89?\nAnswer: -2033.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*p = 99*p - 185. What is the remainder when p is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22554 by -3222.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 71 = 75 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -47*b - 33. Let n(a) = -23*a - 18. Calculate -7*n(h) + 3*v(h).\nAnswer: 20*h + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 72\/9419 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -33204.\nAnswer: 1\/11068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*g - 0 - 13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b = -13*b - 8*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.5767619s to weeks.\nAnswer: 0.00014149596875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/1279 - 1271\/5116. What is the closest to -2\/7 in a, 4, -2\/9, 20?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26068 <= 26049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of h**5\/60 - h**4\/6 - 5*h**3\/3 - 333*h**2. Determine v(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1878772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -155209, -310419, -465629, -620839, -776049, -931259?\nAnswer: -1086469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9546884 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3\/8 + 5*k**2\/8 - 21*k\/2 = 0 for k.\nAnswer: -12, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4301*y**3 - 1992*y**3 + 1243*y**3.\nAnswer: 3552*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -601 divided by 8766\nAnswer: -601\/8766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 1)*(-5*d + 5*d - 4*d**2)*(5*d - 2*d + 0*d).\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 28*h + 67. Suppose 7*v + 232 = 22. Let u be m(v). What is the second biggest value in 2\/9, -2, u, 22?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 533\/88 + -47\/8. Let c = 0.26 - -16.74. Let x = -17.1 + c. What is the second biggest value in x, h, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3 = -2. Let y(k) = k**3 + 6*k**2 + 3*k - 3. What is the units digit of y(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40997 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.1*-2.6.\nAnswer: 54.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*s - 216 - 2 = 43 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69092 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 32267000 to the nearest 1000000.\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 32. Let n be (-10)\/35 + l\/(-7). Which is smaller: 3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h + 4*h - 5*h + (-2 + 1 + 3 + (0 + 2 + 0)*(5 - 3 - 1) + 0 - 4 + 5 + 2 + 2 - 1)*(-6*h - 9*h + h) to t + l*h and give l.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176 = 4*m + 9*b, -4*m - 4213*b = -4218*b - 104 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-2538)\/540)\/(((-63)\/20)\/(-63))\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*n, -2*n = -n. What is the common denominator of v + (-1)\/((-4)\/53) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/3 in -0.12, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a - 8*a - 13*a - a + 10913.\nAnswer: -18*a + 10913","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*s + 170*s**3 + 2*s**2 + 13*s - 2 - 172*s**3 + s**2 to l*s**3 + d + x*s**2 + z*s and give z.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30450364 and 22.\nAnswer: 334954004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4*d**2 - 368921000*d + 8506419015062500 = 0.\nAnswer: 46115125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 3737450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 23*d**2 + 3*d + 1. What is the remainder when t(1) is divided by (-1)\/(-1)*(9 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - v - 9, -7*p + 2*p - 2*v = -15. Which is bigger: p or 1.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7888148 is divided by 3950?\nAnswer: 3948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7709 * -39057.\nAnswer: 30109.0413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12218, 24434, 36648, 48860?\nAnswer: 61070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/4)\/((-1)\/4). Suppose 4*t = -5 + h. Let x = t - -5. Sort x, -4, 1 in increasing order.\nAnswer: -4, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1865754 and 288972.\nAnswer: 85824684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 326207568 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/30 and 109\/70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 2*u. Let l be z(-2). Suppose l = 3*d - 4*d + 14. Let i(j) = 2*j - 22. Let f be i(d). Solve 0*k - f = 2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 14. Let w(m) = 7*m**2 - 2*m**2 - 3*m**i - 4*m**2. Let y(c) = 0*c - 1 + 1 + 6*c. Calculate y(w(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 18*s**3 + 40*s**2 - 4*s + 428. Let y(g) = 41*g**3 + 79*g**2 - 9*g + 852. Let x(p) = -5*t(p) + 2*y(p). Find the second derivative of x(z) wrt z.\nAnswer: -48*z - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 119 = -4*q + l, 3*q + 2*l - 92 = 0. Suppose -39*v = -q*v. Factor v*s - 3\/4*s**4 + 0*s**2 - 3\/2*s**3 + 0 + 3\/4*s**5.\nAnswer: 3*s**3*(s - 2)*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16932666 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000010 - 11?\nAnswer: -100000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -26.5. Let x = -0.3 + 0.3. What is the nearest to x in -4\/7, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -34. Suppose -4*a - p = -a, 0 = 4*t + 4*a - 28. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16d (base 15) in base 12?\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*b + 623 = 869 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1700263 (base 11) to base 12\nAnswer: b79965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + 229692 = 384473. List the prime factors of r.\nAnswer: 14071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 98*t**2 + 19*t - 35. Let k be u(-13). Let d = k + -8343. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-40)\/12)*(-15)\/18\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + d - 34*d**2 + 21*d**2 - 2*d + 0*d**2 + 2*d**2 + 0*d**2 + (2 - 2 + 2*d)*(d + 1 - 1) + 0*d**2 + d**2 + 0*d**2 as a*d**2 + x*d + u and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a week in minutes?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 17 - (0 - 1) - -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**7\/882 - m**6\/630 + 8*m**5\/105 + m**4\/12 - 89*m**2\/2 - 40*m + 2. Let f(t) be the third derivative of o(t). Factor f(h).\nAnswer: -4*(h + 2)*(5*h - 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2255.7? (a) 4 (b) 3\/4 (c) 0.2 (d) -22.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 6:42 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 9*y = 52. Suppose -y = -8*n + 22. Calculate the lowest common multiple of 3 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 454941?\nAnswer: 3, 50549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4 + (1 + 2 - 1)*(2 - 3 + 3))*(1 - 3 + 3)*(o - 3*o + 0*o)*(-13*o - 10*o + 17*o).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 165.26 + -0.26. Let v = 166.33 - f. Round v to 1 dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v + 60 = 0. Let x(g) = -g - 1. Let u be x(-5). Suppose -u*z = -2*t + 2, -2*t - 1 = z - 3*t. Solve 5*s + 15 = -3*m - z, 3*m + s = -v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q = 78 - 12. Let t(k) = 2*k**2 - 3*k - 3. Calculate t(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10 - ((-27)\/(-5) - 10\/25). Put 3, -8, -5, t in descending order.\nAnswer: t, 3, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/3630 and -69\/4466.\nAnswer: 736890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 12*l**2 - 203*l - 7. Does 10 divide i(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8a7098 (base 12) to base 9.\nAnswer: 4137768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -3*q**5\/80 - q**4\/8 - q**3\/8 - 3*q - 2. Let p(v) be the first derivative of n(v). Factor p(f).\nAnswer: -3*f*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132463, -264879, -397199, -529429, -661575, -793643, -925639, -1057569?\nAnswer: -1189439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 508*v**4 - 368 with respect to v.\nAnswer: 2032*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 4*f**2 - f - 4. Let o be p(-4). Let b = 2 - o. Find the third derivative of 2*h**5 + 6 - 3*h**b - 3 - 3 wrt h.\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqvqqvvqqvqqqqqq. Give prob of sequence vvqv.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 115825014 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 {x: 2, r: 5}. Give prob of picking 2 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -203 + 210. Suppose -k - 30 = -v*k. Solve j = 6*j + k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((-585)\/(-10))*(-754)\/522?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416*f = 392*f + 33888. Do 1411 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1106*t + 18484*t + 27881*t.\nAnswer: 45259*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -5*p - 5*z, 0*p - 3*z + 36 = -3*p. Let b(a) = -a**3 - 12*a**2 - 13*a - 6. Let o be b(p). Let n = 59 + o. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 935504 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4027\/6 + -682. Find the common denominator of m and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*s**5 + 9028*s**4 + 15276*s**3 - 256528*s**2 - 274512*s - 66240 = 0. What is s?\nAnswer: -92, -6, -2\/3, -3\/8, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 374*j - 4. Let f(b) = 372*b - 5. Calculate -2*f(c) + 3*z(c).\nAnswer: 378*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -351 + 21334?\nAnswer: 20543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**3 - 11*w + 11*w + 19*w**3 + 11*w**3.\nAnswer: 38*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -12 + (-3 - (-1 - -1)) + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 113 and -4.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9797*v**4 - v**3 + 3*v**2 + 6*v - 141 wrt v.\nAnswer: 235128*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1918 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c + 10. Let l be i(6). What is the nearest to -1 in l, -2\/11, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by -171.\nAnswer: -22\/171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 2*t**2 + 27*t + 129. Let s be n(-4). Let p be (-6)\/12*0\/2. Put p, -4, s in descending order.\nAnswer: p, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 249 + -351. Let p = 10 + u. Let f = 94 + p. What is the greatest common factor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(57)\/(sqrt(588)\/sqrt(4)) + -4 + (5 + sqrt(171) + 0)*-2.\nAnswer: -41*sqrt(19)\/7 - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(-10) + 20*4\/96. Let z = 92 - 93. Sort -16, i, z in increasing order.\nAnswer: -16, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 295)*(-7)\/7. Let f = a - -506. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 7:16 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-506)\/46 + 6\/2 + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjqj when four letters picked without replacement from jhjjhhhhjjqhhhhhhj?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g - 1343. Let s(i) = -1582*i**2. Calculate h(s(y)).\nAnswer: -6328*y**2 - 1343","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z\/(z*((z\/z**16)\/z)\/z*z))\/z))\/(((z**12\/z)\/z)\/z) assuming z is positive.\nAnswer: z**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4422 - 6049 = 3*u - 2*y, -u = -2*y + 3497. Let g = -177847\/51 - u. Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/5 - 1118\/5*b**4 - 674\/5*b**2 - 338\/5*b**5 - 128\/5*b - 1334\/5*b**3.\nAnswer: -2*(b + 1)**3*(13*b + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 + 20*v**2 - 2*v - 31. Let p be j(-20). Let g(l) = -92*l + 2. What is the remainder when g(-1) is divided by 676*p\/126 - (-4)\/(-14)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -4.9272?\nAnswer: -0.98544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49 + -47 + -6 + (2 - -23)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18 + 0 + (-12)\/3. Let d = v - 55\/4. Suppose -2*z = 4*h - 2, -h + 2 = 2*z - 6*h. Is z less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -449*k + 0*k**3 + 38*k**2 + 372*k + 0*k**3 - 2*k**4 wrt k.\nAnswer: -24*k**2 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57087654 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 5*j**2 + 6. Let v(a) = 45*a**2 + 55. Let k(p) = 55*q(p) - 6*v(p). Let t(o) = -10*o - 10*o + 18*o. What is k(t(r))?\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -182, -2, -36 in decreasing order.\nAnswer: -2, -36, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2422108150.\nAnswer: 2, 5, 7, 11, 17, 23, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2. Let d(l) = 773956*l. Give p(d(y)).\nAnswer: -1198015779872*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -295 - -289. Let r be y - -1 - (7 + 416\/(-36)). Let x = 0.9 - 1. What is the biggest value in -2\/11, x, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 12*w**2. Let u(d) be the first derivative of 147*d**2\/2 - 1124. What is p(u(z))?\nAnswer: 259308*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1436 + -6248008153.\nAnswer: -6248008153.1436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -42*p - 2110*p**4 - 25*p + 2094*p**4 + 4*p**5 + 64*p**2 + 3*p = 0. Calculate p.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 12:22 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-5)\/k*k**(2\/17))\/((k**(-14\/5)*k)\/k**(-5)))**(-7\/6) assuming k is positive.\nAnswer: k**(2702\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/3475 + 211943\/55600. Let p(a) = a**3 - 2*a**2 - 6. Let t be p(3). What is the common denominator of w and (-660)\/(-56) + (4 - t - 5)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3561956 and 91901.\nAnswer: 3169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28802596?\nAnswer: 2, 31, 109, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 + -57. Suppose 7894 = p*a - 5*f + 1235, -a + f = -2223. Suppose 12*n - a = 1288. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 11*d**5\/10 - 7*d**3\/6 + 7*d. What is the second derivative of k(z) wrt z?\nAnswer: 132*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9015 = 34*j + 6397. Solve -25 = -5*d, -k = -d + 86 - j for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 37.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-4) - (-34)\/8. Suppose -13 = -r*p - 5. Let k(v) = v + 0*v**2 + 3*v**p - 4*v**2 + 5. Let f(c) = 3*c**2 - 3*c - 14. Determine -6*f(l) - 17*k(l).\nAnswer: -l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011011110010000100110 - -10111?\nAnswer: -1011011110010000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 195.8 rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - -12) + 20 + 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40417 is divided by 61?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-6))\/(p**(4\/9)\/p)*(p*p\/(p\/(p*p**(-1\/4))))**(2\/89) assuming p is positive.\nAnswer: p**(-7057\/1602)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, t: 4, j: 6, h: 1, y: 2}. Give prob of picking 2 j and 2 y.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2523077407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(50)*1)\/sqrt(5) - 6*sqrt(90))\/((sqrt(980)*-2 - sqrt(980))\/sqrt(4)))**2*6.\nAnswer: 1156\/147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 90 = -2*c, -5 = -m + c - 4*c. Suppose -13*t = -8*t, 4*p + 5*t = 12. Let f = 16 + -11. Solve f = -p*a + m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1462?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (15\/(-27)*3)\/(1\/(-3)). Suppose -g*j - 3*t + 1420 = t, -5*j + 4*t = -1380. Does 35 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 11*y + 9. Let v(a) = 19*a**2 - 1. Determine v(y).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6894 and -0.703?\nAnswer: -4846.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1641709852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 153*z + 1 - 12 - 237*z + 9 to the form d*z + t and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r + 4*r**3 + 2 + 2*r - 5*r**3 + 5*r**2. Let q = -2 + 7. What are the prime factors of o(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 701, -2\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 862 - 593. What is the remainder when i is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1495 - -2569. What is a rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2536815, 5073639, 7610465, 10147293, 12684123?\nAnswer: 15220955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(35)*-2)\/sqrt(7) + (sqrt(5) - 1*sqrt(500))**2 - (sqrt(5) - (-2 + sqrt(15)\/sqrt(3)) - 5*(0 + sqrt(5) + sqrt(5)))**2) + 2.\nAnswer: -38*sqrt(5) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736285 is divided by 5711.\nAnswer: 5277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v**2. Let d(t) = 6*t**2 + 41. Determine p(d(u)).\nAnswer: -144*u**4 - 1968*u**2 - 6724","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.6 + 34.4. What is the biggest value in j, 2\/9, 0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -19. Let s = 0.07 + -1.87. Let k = s + n. What is the closest to 2\/5 in -0.2, k, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 17, -0.2, 67.7?\nAnswer: 67.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnfhnfrnhsnf?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 1 + 4 + 2. Let g be 0\/(2 - 2 - -2). What is the units digit of r(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 12*b. Let c(l) = l**3 - 5*l + 4. Let q be c(4). Let s(d) = -96*d + q*d + 42*d. Determine s(f(x)).\nAnswer: -72*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 3*h - 4*n, -h + 2*n = -2*h - 7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20111 - 202110?\nAnswer: -111222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -14*b - 1. Let p(k) = 2225*k. Determine i(p(a)).\nAnswer: -31150*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -48 and -3092.7.\nAnswer: -3140.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105 - 80*n**3 + 26*n**3 + 28*n**3 + 20*n**3 + 10*n**3 + 105.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 551403757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27249 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**3 + 17*b**2 - 11*b - 14. Let j be i(7). Calculate the greatest common divisor of 42 and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + p**2 + 8. Let o be c(0). Suppose 70 = -5*r - 5*x, -o*r + 3*r + 5*x - 40 = 0. Sort 4, r, 3 in decreasing order.\nAnswer: 4, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 165 and 455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -1\/201554234?\nAnswer: -1\/201554234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -2*n - 71, -n - 280 + 258 = 3*o - 2*o for o.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 48119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -736488, -2945783, -6627882, -11782785, -18410492, -26511003, -36084318?\nAnswer: -47130437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r*s**5 - 2*r*s**3 - 3*r*s**2 + 119*r - 83*s**3 wrt s?\nAnswer: -60*r*s**2 - 12*r - 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 10 = -4*v, 3*v + 2*n - 3*n + 11 = 0. What is the tens digit of 1558\/57*v\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18045998.433 to the nearest one thousand.\nAnswer: -18046000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = l - 29, -2*l - 3*b + 8*b = 2. Let x = 13 - l. Solve -3*n + 5*d = 25, x*d + 4 - 24 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 2. Suppose -2*y - 7 = -u, -4*u - 3*y - 36 + 9 = 0. Give w(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*m + 114*m + 121*m - 367*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -303 (base 5) in base 4?\nAnswer: -1032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) -4 (c) -1\/5 (d) 19271\/2 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*u**4 - u**4 - 4*u**4 - 958 + 2*u**4 + 6*u**4 wrt u.\nAnswer: -52*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 288 and 9360.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4*x + 12, 12 = -3*j - 5*x + 31. Let p = 4 + -7. Put j, p, -4\/3 in descending order.\nAnswer: j, -4\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 14*l**2 - 8*l + 43. Let n = -1447 + 1450. Let a(v) = -5*v**2 + 3*v - 14. What is n*o(f) + 8*a(f)?\nAnswer: 2*f**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12012411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 4 + 4 - 5 = h, -6*h - 4*i = -2*h - 32 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/9)\/(n**(-17)\/n))\/((n\/(n\/(n\/n**(3\/5))*n)*n*n)\/(n*n**(-9)*n)) assuming n is positive.\nAnswer: n**(437\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -449\/4 + 563\/5. Let r = -13 - -14. Which is greater: r or d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 1, 398, -15 in descending order.\nAnswer: 398, 1, -1, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 311, 618, 923, 1226, 1527, 1826?\n\"Answer: -k**2 + 310*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 m when four letters picked without replacement from {z: 5, m: 10}.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 - 6*k - 2. Is x(5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 20*k**2 + 121*k - 90. Give m(-25).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93597 is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4053?\nAnswer: 3, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -27*a**2 + 98*a - 25. Determine c(4).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 2*k + 17 - 55, 43 = 4*r + 5*k. Suppose 3*g = -t - 3, -2*t + 0*g + 3*g + r = 0. Solve -t*i + 0*i = 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*x + 201*x = 12. Find z such that -16\/3*z - 14\/3*z**2 - x - 4\/3*z**3 = 0.\nAnswer: -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by -996708?\nAnswer: -2\/249177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/7 + 2125282*c\/7 + 6375828\/7.\nAnswer: 2*(c + 3)*(c + 1062638)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 56.182, -1\/5, -1.9?\nAnswer: 56.182","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/17 - -53\/204. Let f(v) be the third derivative of 1\/30*v**5 + 0 + v**2 + 0*v + 0*v**3 - q*v**4. Find the second derivative of f(m) wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 2. Suppose -120 = -3*c + 3*q, 2*q + 9 - 151 = -m*c. Suppose 4*g - 14*g = -370. Calculate the greatest common divisor of c and g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - 0 - -4 - -1. Let g(z) be the first derivative of s + 3\/2*z**4 - z**2 - 8\/3*z**3 + 4*z. Suppose g(i) = 0. Calculate i.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -1106 + 76*j + 1107 - 75*j. Let q(g) = -g + 12. Determine -5*b(s) + q(s).\nAnswer: -6*s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -4. Suppose -q = 4*q, -x*a - 36 = 2*q. Is (-8)\/(-36) + (-799)\/a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 42 = -858. What is l rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -4c?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/9 + 2506*u**2\/3 - 2508*u.\nAnswer: 2*u*(u - 3)*(u + 3762)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, 22.39, 3, 1, -6\/11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 82 + (-3)\/(((-3)\/2)\/1). Let r = x + -78. Solve -2*j - r*w = -4*w - 12, -4*j + 2*w = -12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29863432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000009869 rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 698*r**3 - 5*r**2 + r + 1. What is y(1)?\nAnswer: 695","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 10*d - 17. Let q be x(7). Solve -q*b - 5 = b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (-2)\/(-15)*(-2 - 8). Let l(v) be the first derivative of j*v**3 + 4 - 2*v**2 + 0*v. Determine l(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/12 - -2)\/((9020\/40)\/(-41))?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 277 in 3, 2\/5, -1, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 2*r - 84. Let s(q) = q**2 - r + 21 - 6*q + 2*q. Let z be s(7). Put -5, 4, z in decreasing order.\nAnswer: 4, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20349378?\nAnswer: 2, 3, 7, 161503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**3 + 44*y**2 - 24*y - 151. Calculate the remainder when d(-22) is divided by 83.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -157 - (-5 + -1 + 2 + 7). Which is greater: r or -158?\nAnswer: -158","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2448592.9 rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195*k - 308*k = -69*k - 41664 for k.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -12 (b) 4 (c) 7 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19282 is divided by 1315.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (-2 - -3 - -5). Let k be 1*1\/(-4)*v. Suppose k = z - 4. Calculate the smallest common multiple of 2 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*p**2 + 15*p**2 + 16*p**2 - p + 2*p**2 in the form n*p + a*p**2 + r and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4\/5 + 11*y**3 - 225*y**2 + 2025*y - 6750 = 0. What is y?\nAnswer: 10, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 AM and 3:59 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + 3)\/(-3 + (-88)\/(-24)). Suppose -13*b + 12*b = -z - 29, -95 = -a*b - z. Calculate the greatest common factor of 93 and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*z = -8*z + 45 + 47 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23110 + -101011?\nAnswer: -11301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266211399.\nAnswer: 3, 107, 829319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1282738 divided by 1346?\nAnswer: -953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*y + 114. Let s = y - -60. Suppose 5*a - s = -3*u, -30 = -2*a - 2*a - 2*u. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/5, -5, 5, 0.04, -0.1, 4789?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 5 + -4 - 2) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -5792\nAnswer: 5787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 215691 by -421.\nAnswer: -215691\/421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*i)*(i + 7*i + 2*i) + 0*i**2 - i**2 - 3*i**2 as j*i + w + b*i**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5154*i + 5160*i + 36 - 36.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*q = 15, -3*v + 25 = -8*v + 5*q. Sort 5, v, 7, 1.\nAnswer: v, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/4)\/f)**(-20\/9)*f\/f**(-2\/3)*f*f\/(f\/(((f\/f**(-2))\/f)\/f)))\/(f**(-1\/3)\/f*f*f**(-11))**6 assuming f is positive.\nAnswer: f**(670\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/22 - 42957\/(-473). Find the second derivative of 309 - 5*o + 6*o - 36*o**2 - k*o**2 + 11*o**2 wrt o.\nAnswer: -232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 5*i + 0*i)*(-2 + 0 + 0)*(0*i**2 - 7*i**2 + 2*i**2).\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 4*f - 151, -n + 19 = -3*f + f. Suppose -m = 2*m - n. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5997, 12072, 18151, 24234, 30321, 36412, 42507?\nAnswer: 48606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -116 + 949. Does 31 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 7115, 1, 115 in ascending order.\nAnswer: 1, 2, 5, 115, 7115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-2\/23))\/o**(1\/4))\/(o**(-4)*(o*o**(1\/5)*o)\/o)*(o*o**(-4)*o*o**(-6)\/o*o)**37 assuming o is positive.\nAnswer: o**(-134487\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 246119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5649*q**2 + 6651*q + 1002 = 0. Calculate q.\nAnswer: -1, -334\/1883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -28.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-99)\/27 + 407\/(-33)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100111101101 (base 2) to base 16.\nAnswer: -29ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 561 divided by -1?\nAnswer: -561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b0 - -3?\nAnswer: b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2f3e (base 16) to base 2\nAnswer: 10111100111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**5 - 857*q**2 + 1711*q**2 - 76*q**4 - 862*q**2 wrt q?\nAnswer: -120*q**2 - 1824*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**8\/6720 - s**5\/40 + s**4\/3 - 4*s. Let c(p) be the third derivative of b(p). Differentiate c(d) wrt d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 61804210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -41*l**8\/24 - l**4\/24 - 53*l**3\/6 - 792*l**2. What is the second derivative of b(u) wrt u?\nAnswer: -11480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b + 3. Let t be o(6). Suppose -2*r + 83 + 65 = 4*m, 10 = 5*r. What is the highest common factor of t and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46810347 is divided by 254404.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 9*b**3 + 5*b + 5. Let r(u) be the third derivative of -7*u**6\/60 - u**4\/3 - 4*u**3\/3 - 71*u**2. Calculate 8*i(s) + 5*r(s).\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*n + 11*n + 8*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241 a factor of 44319816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 108 - -1*(2 + 1). Suppose s = o - 29. What is the units digit of s\/10 - 2\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 792*m + 3917. Give n(-5).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-30)*3\/(-2). Let s = -453.138 + 449.1. Let a = s + 0.038. What is the smallest value in o, 0.1, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12978088*h**3 + 7561756*h**2.\nAnswer: 77868528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.3 - 2.6. Suppose -10 = -3*v - 2*v. Suppose 0 = -4*y + v*y. Which is the third smallest value? (a) q (b) 0.5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 155159 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 6. Let d be (-19)\/57 + (-48)\/(-9). Let s(u) = -1. What is d*s(a) - h(a)?\nAnswer: -2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -74, -84, -84, -68, -30, 36, 136, 276?\n\"Answer: f**3 - f**2 - 14*f - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*d**3 + 10*d**3 - 22*d**3 + (-3 + 5 + 0)*(0*d**2 - 2*d**3 + 0*d**2) - 2*d + 2*d - 2*d**3 in the form p*d**2 + o*d**3 + j*d + h and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39553 - 25956. Suppose 3897 - h = -x. What is x rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -880 divided by 8.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -16c (base 14) to base 12\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g = -11*g - 324. Calculate the common denominator of (-32)\/(-168)*g\/4 and (-4)\/90 + (-4)\/10.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-23)*y**(-6\/23)\/y*y)**(-4\/29) assuming y is positive.\nAnswer: y**(2140\/667)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0173? (a) 2 (b) -8\/5 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (81\/(-108))\/((-3)\/132) is divided by 7\/21 - 17\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35544.999936 + -35546. Let z = 0 + -1. Let d = t - z. What is d rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 7*c**2 - 12*c - 58. Let b(f) = -13*f**2 + 22*f + 117. Let x(u) = -6*b(u) - 11*q(u). Suppose x(k) = 0. What is k?\nAnswer: -8, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140.28 rounded to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.32 - -0.02. Let u = 11.7 - x. Let a = 18.6 - u. Round a to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*o = -16528, 3*j - j = 3*o + 8284. Is 47 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + sqrt(9)\/sqrt(3)))**2.\nAnswer: -32*sqrt(3) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 468*z**2 + 10913 - 10913 to t + w*z**2 + b*z and give w.\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 5:18 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**2 + 16*a + 32. Determine n(-8).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**5 + 85*a**4 - 575*a**3 + 1935*a**2 - 3240*a + 2160.\nAnswer: -5*(a - 4)**2*(a - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (30\/(-20))\/(3\/(-82)). Let q = l + -38. Solve b = -q*b - 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1410 - 4?\nAnswer: 1401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 9*o**2 - 262*o + 211. Calculate v(28).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - a**2 + 2*a - 30. Let k be d(0). Let y be -16*65\/k + (-2)\/3. Calculate the highest common divisor of 119 and y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10, 0, 16, 38, 66?\n\"Answer: 3*b**2 + b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5997, -5998, -5999, -6000?\n\"Answer: -l - 5996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21564\/6589)\/(-1*9\/66).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: -62 divided by 1659\nAnswer: -62\/1659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*u**2 - 4*u - u + 36*u**2 + 5*u.\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 5*n**2 - 10*n**2 + 15 - 15*n + 2*n**2 + 5*n**2. Find the first derivative of d(r) wrt r.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4 = 12. Let o be -5*(51\/15 + i). Suppose -267 = o*v + z - 2281, v - 678 = z. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**6\/120 - c**5\/60 - c**4\/24 + 53*c**3\/6 - 3*c**2 + 69. Suppose 0 = 2*a - 0*a. What is the units digit of y(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 0 - 9*y + 3*y**2 - 5\/12*y**4 + 13\/6*y**3. Factor h(t).\nAnswer: -(t - 3)*(5*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -252405451 + 2?\nAnswer: -252405446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/11, 1\/6.\nAnswer: -1, 1\/6, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*t + 3. Let v be (-162)\/8 + 2\/8. Let c be (-2)\/(-2)*8\/v. What is the nearest to 1 in c, t, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 32*t**3 - 19*t**2 + 36*t - 7. Let p be w(2). Solve p*o - 242*o = -15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 63*j. Let f(v) = 53*v**2 - 293. Calculate f(r(m)).\nAnswer: 210357*m**2 - 293","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**2. Let a(k) = 2*k**2 + 3*k + 3. Let w(v) = -5*v**2 - 8*v - 8. Let i(r) = 8*a(r) + 3*w(r). What is 2*c(z) + 5*i(z)?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.011563 micrometers to kilometers.\nAnswer: 0.000000007011563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2706?\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 5*f**2 - 5*f + 2. Let d be l(-5). Suppose t = 3*t - 4. Solve t = -5*z + d for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70457.79 minutes in hours?\nAnswer: 1174.2965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7234.6 - -4597.66.\nAnswer: -2636.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-3))\/(40\/(-18)*180\/2700).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -0.58178579.\nAnswer: -2.32714316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 1206*t**2 + 13*t - 159. Does 7 divide u(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/3))**0)**(-1\/2) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*m**3*u**4 - m**3*u - 2*m**3 - 124*u**5 + 2 wrt u?\nAnswer: 36*m**3*u**2 - 2480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 4.263\nAnswer: -21.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1555237 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: In base 10, what is 132281 - 7?\nAnswer: 132274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*m**2*t**3 - 4596*m**2 - 208*m*t**4 + m + 4 with respect to t.\nAnswer: -33*m**2*t**2 - 832*m*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50253151 - 5?\nAnswer: 50253142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000687072 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -6471.\nAnswer: -12942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + v + 2. Let y be (-2)\/(-5) + (-4)\/10. Let g be h(y). Suppose 2 - 6 = -g*s. Solve 0 = s*f - 12 + 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -24*y. Suppose 2 = j + 3*j + 3*l, -3 = -5*j - 4*l. Is a(j) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 712 + -455. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000625 rounded to 5 decimal places?\nAnswer: 0.00063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 115766187 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/7 (b) -0.56 (c) -9345 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690 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: Suppose 26 + 24 = 50*z. Let v(r) = -r**3 + r. Calculate v(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 97 = -0*y + 3*y, 2*y = 2*c - 58. Let o = 61 + y. Suppose -75 - o = -7*h. Calculate the common denominator of h and -93\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 28154, 28107, 28060, 28013, 27966, 27919?\n\"Answer: -47*t + 28201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000138837 to 7 dps.\nAnswer: 0.0000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130301220 (base 4) to base 5.\nAnswer: -12232424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14564 - 3?\nAnswer: -14567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r + 7959931 - 7959935 - 2*r + 0*r + 3*r + 2*r.\nAnswer: -2*r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + l + l + 0*l**2)*(2*l**2 + 206 - 206).\nAnswer: 2*l**4 + 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3835*y**2 - 2086?\nAnswer: -7670*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + 1 + sqrt(80) + 1)**2.\nAnswer: -324 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 2) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (19 - 18)*(-3 - -3). Let l(u) be the first derivative of -5 + 3\/2*u**2 + h*u. Let b(g) = -3*g. Determine l(b(a)).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -271.42669734771 and 5.\nAnswer: -266.42669734771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/7193052 and -23\/799228?\nAnswer: 7193052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2158*t**3 - t**2 - 260905*t.\nAnswer: 12948*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(18)\/sqrt(324) + sqrt(56)\/sqrt(7))*4*-5)**2 + -3 + -5.\nAnswer: -5200*sqrt(2) + 66128\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven quarters of a day?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 a factor of 95363508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 301625 is divided by 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/5 and (3\/5)\/((-16)\/1080)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10 + (-27)\/5. Let s = -20 - -20.6. Let o = -0.8 + s. Which is the third biggest value? (a) 0.1 (b) v (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*o + 3091 = 34*o + 949 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 13*q**4\/4 + 18*q**2 + 1363*q + 1252. Differentiate c(h) wrt h.\nAnswer: 39*h**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-30856)\/(-114))\/(-58))\/(1*(-20)\/(-24))\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 1:06 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1483*l**5 + 3062*l wrt l?\nAnswer: 29660*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 11*u**3 + 123*u**2 + 7*u - 26. Calculate d(-11).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 441 - 2*v**2 - 442 + 4*v**3 + v + 5*v**3 - 5*v**3. Determine n(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - -7. Calculate the remainder when q is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + r - 24. Let y = -109 - -111. Suppose -244 = -l + r*v + 41, 0 = y*l - 2*v - 546. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7a31 (base 13) to base 4\nAnswer: -10023111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -68.164 and 205.\nAnswer: 136.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3\/(-9))\/((-4)\/284) and 20\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + b = -42. Calculate the remainder when 41 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -2\/3 (c) 0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j - 101*j**3 - 15*j - 3*j**2.\nAnswer: -101*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -89*w - 262. Let q be x(-3). Solve -1 = -3*d - 2*k - 10, 2*k - 31 = q*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -8*n + 119. Let j(u) = 3*u - 41. Let g(k) = 4*d(k) + 11*j(k). Let m = -2 - 1. Calculate the remainder when 83 is divided by g(m).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**6\/120 - n**5\/20 - n**4\/8 + 2*n**2. Let h(a) = a**2 + 4*a + 1. Let m be h(-3). Let q = m + 0. Determine b(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 291 and 1?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87756, -350996, -789726, -1403946, -2193656?\nAnswer: -3158856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -236036430 by -16859745.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 647045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 12*r - 4 - 3*r.\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 17, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1088609 is divided by 4407.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, u: 2}. What is prob of sequence ucu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dpdd when four letters picked without replacement from {p: 7, d: 9}.\nAnswer: 21\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y - 6. Let t be d(-4). Let h = -5 - -12. Let u(v) = -4 + 0 + 4 - h*v - 1. Let g(r) = -3*r. Give t*u(q) + 5*g(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -5*a - 35, 7*a - 4*k + 53 = k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/17013 or -1?\nAnswer: -4\/17013","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -8*b + 395. What is u(48)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyzy when four letters picked without replacement from {z: 1, y: 17}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 325 + 10893. What are the prime factors of r?\nAnswer: 71, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 divided by -1?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, j: 2, n: 1, d: 2, c: 1, x: 1}. What is prob of picking 1 n and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -455, -577, -699, -821?\nAnswer: -943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a factor of 516320838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23229 and 86391?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -8190?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -12. Suppose 9*a - z = 6*a. Suppose 0 = 3*l - 4*l + 37. What is the remainder when l is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4))**22\/(l*l**(-5)*l\/(l\/((l**6*l*l)\/l))) assuming l is positive.\nAnswer: l**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -105*a**4 - 132*a**4 - 123*a**4 - 385*a**2 + 426*a**4 - 108*a**4 wrt a?\nAnswer: -1008*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 161\/1610 + 1\/(2*-1). Let k be 16\/14*(-1)\/2. What is the closest to f in k, 0.1, -2\/15?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 2*t**2 + 19*t - 5\/12*t**4 - 3\/2*t**3 + 1\/20*t**5 + 0. What is w(6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, 2, 3, 23, 1, 394.\nAnswer: -4, 1, 2, 3, 10, 23, 394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -88287*l*x**2 - l*x - 35826280*l + 4*x wrt x?\nAnswer: -176574*l*x - l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + 3*t - 1. Let f be q(-3). Suppose -3*h - 175 = -f*h. Let p = 37 + 278. Calculate the greatest common divisor of h and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176)\/sqrt(44))\/((1*sqrt(32))\/sqrt(4)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y + 4 = 14*y. Let v(r) = -r**2 - 6*r - 9. Let x be v(y). Which is the nearest to x? (a) -1\/3 (b) 5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*t**2 - 7*t**3 - 16*t**2 - 23*t**3.\nAnswer: -30*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/1975 and 17\/3700.\nAnswer: 292300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 15676162 (base 9) to base 3\nAnswer: 112202120012002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27389034677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*r + 10*r + 4 - 2*r**4 + 12*r + 5*r**2 - r**2 to the form b*r**2 + t*r**3 + a + c*r + x*r**4 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112220202202 + -1?\nAnswer: 112220202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.8424 + -0.0536. Round c to one dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 - (-6 - -2619))\/2. Let o be (-84)\/(-56) + s\/(-6). Are 219 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 6\/2)*386\/(-8). Suppose 698 - 108 = 3*j - 2*w, j - l = -3*w. Is j a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(((-9)\/300702)\/(1\/(-2))) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176 + 210 - (9 + 7 + -33).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 5*r - r + r - 2*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 668\/9 - 74. Let g = -186 - -182. Let x be (-2)\/1*2\/(-14). What is the closest to x in i, 0.4, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 0 + 0*i - i**2 + 0*i**3 - 37\/24*i**4. Let y(a) be the first derivative of -2*a**3\/3 - 1098. Determine h(y(w)).\nAnswer: 74*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.121+-641\nAnswer: -641.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7*x. Let n(g) = -4*g. Let b(v) = 6*d(v) + 10*n(v). Let o(w) be the third derivative of -1\/15*w**5 + 0 + 3*w**2 + 0*w**4 + 0*w**3 + 0*w. Give o(b(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.6, -5, -1, -3\/2, -2, -16.21, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 286 + 581 = 0. Let s = 644 + o. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + (8 - 5) + 618 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-24) + -7 + (-12)\/(-3).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1232 (base 5) in base 6?\nAnswer: -520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-16)*-8 - -14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4440 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 101027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2942, 3, -2.\nAnswer: -4, -2, 3, 2942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3*w**2 - 25*w + 12. Let d be z(8). Suppose -d = c - 8. What is the third derivative of -417*l**4 - 6*l**5 - 15*l**2 + 417*l**c wrt l?\nAnswer: -360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-389)\/(-4) - 28\/112. Let q = 172 - l. What is the remainder when q is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47716 is divided by 41?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.8255 to 0 dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3579 - -17839\/5. Let d = 77134 + -7019078\/91. Let p = d - 12171\/910. Calculate the common denominator of h and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20451.\nAnswer: 3, 17, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.5. Suppose 45 + 5 = -5*p. Let l be -1 + -1 + (-16)\/p. Which is smaller: l or j?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 545122\nAnswer: -4\/272561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/12 + 1033\/3. Suppose -d = 2*d - m. Suppose 0 = 4*c + 2*l - 140, 3*c - 5*l + 4*l = d. What are the prime factors of c?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-4))\/(1\/260). Suppose b = -0*b - f. What is b rounded to the nearest 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 16*d - 5. Suppose 0 = 4*x - l - 15, -4*l - 7 = -3*x + l. Does 9 divide t(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194, -197, -202, -209, -218, -229, -242?\nAnswer: -257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97 - 12. Let w = 86.52 - l. Let x = 1.22 - w. Which is the biggest value? (a) 2 (b) x (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 39 - 14 = 5*l, 5*t - 4*l = -20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -111 + 74. Let l be 2\/(-6) + -13 + 350\/42. Let y = l - b. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s + 1. Let k be 1\/((-5)\/5)*1. Give t(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, g: 1, y: 1, u: 4}. Give prob of sequence yugq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -300, -554, -976, -1566, -2324, -3250?\nAnswer: -4344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 14*w + 6 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2315.501 + -2313. What is w rounded to 0 decimal places?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -w + 4. Suppose 2 - w = n. Which is greater: n or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-10)\/6)\/(2\/(-6)). Suppose d*w = 1 + 19. Suppose -w*y + 18 = -y. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 3) + 166 - 2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-52)\/18)\/((-16)\/36)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (115 + -6 + 1 + -1)\/1.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + -19. Solve 0 = k - 5*k - 5*w + 21, 0 = -p*k - 3*w + 19 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - x = -5*x. Suppose x = 4*g - 12 + 8. Let y = 0 + 0. Is y != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10374.37 nanometers in kilometers?\nAnswer: 0.00000001037437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.3 - -0.3. Let x = 0.74 + -0.3. Let z = x - 1.44. Which is smaller: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 95957.49ug?\nAnswer: 0.09595749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34*3\/10404*84\/(-56)?\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kfffkdfrffffdfffks. What is prob of sequence ssrs?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 8.59 (c) -7 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 74443.4 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1009*g - 1016*g - 1005*g = -3108*g - 3354 for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-6))\/(305\/(-183))\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 72*p**5 + 552*p**4 + 1004*p**3 + 164*p**2 - 304*p + 64. Let g(k) = k**5 + k**4 + k**3 + 2. Let j(h) = -8*g(h) + q(h). Suppose j(d) = 0. Calculate d.\nAnswer: -6, -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-13))\/u*u*u**32*u*(u*u\/u**3*u)\/u**(-12))**(2\/57) assuming u is positive.\nAnswer: u**(118\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j + 4712534 = 4713184 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1053109*q*x**2 - 80945*q - 3*x**2 - 2 with respect to x.\nAnswer: 2106218*q*x - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-154)\/(-35) + -5)\/(1\/10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 11*j - 2. Let m(w) = 4*w - 273 + 9*w + 273. Calculate g(m(b)).\nAnswer: 143*b - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68451\/4 + 16986. Let q(g) = 4*g**2 + 4*g + 6. Let u be q(5). Let h = u + m. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 29. Let i be (-4)\/6 - (-2)\/3. Suppose p - 6*p + 120 = i. What is the greatest common factor of p and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15403 (base 8) in base 11?\nAnswer: -5217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 17*j**3 - 4*j**2 - 3*j - 1. Calculate p(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5\/3 + 1294*d**4\/9 + 10222*d**3 + 713686*d**2\/3 - 723956*d\/9 = 0. What is d?\nAnswer: -79, -58, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-6)\/9 + 1). Let l(y) = -19*y + 5*y + 9*y + 8*y - 1 + 7*y**2. List the prime factors of l(a).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyhyhjyeeppey. What is prob of sequence ey?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2*w**2 + 3)*(-53 + 42 - 64) in the form a*w**2 + k + r*w and give a.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 21*f**3 - 2*f**2 - 11*f + 125. Is g(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1013 = -2*o + 153. Is 3 a factor of o\/(-50) + 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -2 + 22*q + 2\/9*q**3 - 34\/3*q**2. Factor g(p).\nAnswer: 2*(p - 33)*(p - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2*y + 3. Suppose -y*r + 15 = 2*r. Suppose -r*i + 4 = -i. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 23*a**2 + 4. Let n be y(2). Suppose -3*b + 0*b + 36 = 0. Calculate the greatest common divisor of b and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -184658 minus -0.5?\nAnswer: -184657.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7232605 is divided by 73802?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4100879, -4100830, -4100783, -4100738, -4100695, -4100654, -4100615?\n\"Answer: -u**2 + 52*u - 4100930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2189*k**2 + 28*k - 52*k + 381 + 26*k - 140*k**2 - 380. Let q(d) = d**2. Determine h(q(r)).\nAnswer: 2049*r**4 + 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.07378 (b) -6 (c) -114.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovyyyovvuuuo. Give prob of sequence uooo.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3 - 21*x**2 + 120*x - 208.\nAnswer: (x - 13)*(x - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.45 in 0.06, -2, 3, -5\/31?\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -0.03, -3, 0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 7.6. Sort -6, -0.1, f.\nAnswer: -6, f, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*1.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000101001 - 1011111?\nAnswer: -11010001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/149 in -0.3, 18, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26*(286\/44)\/(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.269 + -1.369. Which is the smallest value? (a) 43 (b) -2 (c) v (d) 3 (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -985*j + 289581. Determine k(294).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 747 divide 391416795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 892 or 882?\nAnswer: 882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5*k**5 + 3771\/5*k**4 - 240381*k**3 + 10614321\/5*k**2 - 31640544\/5*k + 31539456\/5.\nAnswer: -3*(k - 624)**2*(k - 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*o**3 + 3*o + 48*o**3 - 3*o + 2*o**3 - 4603*o**2 - 45*o**4 wrt o?\nAnswer: -1080*o + 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535160976 divided by -6?\nAnswer: -89193496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b + -4b02?\nAnswer: -4b11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1186790 divided by -12.\nAnswer: 593395\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + -3 - 88\/28. Which is the nearest to -1\/4? (a) -3 (b) -0.03 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130262 * -8.3\nAnswer: -1081174.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 7757493.\nAnswer: 3102997.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 64\/(-18))*(-3)\/(-2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccccccjccccccccc. Give prob of picking 3 c.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-6 - (4 - -4)) - -10.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = -4*n + 624. Is (-110730)\/(-8) + -4*(-3)\/n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 6:15 PM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -3, -19, -6118 in descending order.\nAnswer: -3, -4, -5, -19, -6118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 11*g**2 + 235*g + 2959. Calculate b(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - (-3 - -12)) + 9 + -1. Suppose -u = -2*u - 4*r + 64, 0 = 2*u - 5*r - 115. Suppose 2*m + u = 5*m. What is the greatest common factor of c and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 p when three letters picked without replacement from {p: 11, n: 2}?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42646*u**6 + 31578*u**2.\nAnswer: 5117520*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-0.4227.\nAnswer: -0.8454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1818 + 85571.978.\nAnswer: 85571.7962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15134 - 15134. Solve -435*g + 426*g - 27 = b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*y, 3*k + y + y - 12 = 0. Let j be (-4)\/3*1\/k. Which is the nearest to -2? (a) -5 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1132 + 913*n + 548 + 587 to the form c + j*n and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -6*t - 5. Let a be k(-10). Suppose a = 5*n + 5. Suppose 0 = 5*m + q - 0*q, 4*q = -m. Solve -n = -m*z + 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10591680 is divided by 39669?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10811*b + 16524 = -10794*b. Which is bigger: 6802\/7 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*w = 21, -419*i + 423*i - 17*w + 25*w = -84 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4477*i**2 - 2317*i**2 - 2157*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - h - 5. Let r = 10 - 8. Suppose -6*c + r*c - 9 = -5*g, 5*c + 5*g = 45. Suppose 0*u - c*o = 2*u - 12, 2*u - 15 = -5*o. What is x(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - -7. Let t(d) = 42*d - 543. Let b be t(13). Solve b = -4*j - m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -89 in -1, 0.5, 0, -7899?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 7:49 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1664 + -743. Calculate the remainder when s is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 6:20 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 144 - 76. Suppose 4*l - 184 = j. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 114 and -0.38029.\nAnswer: -43.35306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u = -5*z + 11*u - 8, -3*z - 7 = -u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 + 67.998. Let g = -0.002006 - m. What is g rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruurvusbrs. Give prob of picking 2 s and 1 u.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 take away 1692076930?\nAnswer: -1692076915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i + 4*i - 40*i**2 - 9*i.\nAnswer: -40*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 2 - 7. Suppose 0 = 3*a - 3, w = 5*a - 0*a - 3. Suppose -o*p + w = -19. What is the smallest common multiple of 11 and p?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssps when four letters picked without replacement from srrrp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h**2 - 14*h - 63. Calculate the remainder when p(-7) is divided by 8\/18*-6*-3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -1, -5, -59 in descending order.\nAnswer: -1, -5, -17, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1219929\/250822 + 1\/11401. Let v be (28\/(-7))\/(2\/(-1)). Find the common denominator of w and (-1)\/v + (-162)\/32.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 408*t**2. Let k(w) be the third derivative of w**4\/24 - 20*w**2 + 4. Calculate k(u(m)).\nAnswer: 408*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -81*v - 4810. Calculate k(-64).\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3405342 (base 6) to base 5.\nAnswer: -21003121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1, 3, 0.4 in descending order.\nAnswer: 3, 1, 0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -143 + 186.6. Let g = t - 45.47. Round g to 1 dp.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-128)\/(-512))\/(2*1)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 156187780199 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1*9327\nAnswer: -9327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(1900)*2*6 - (-2 + sqrt(1900) + 0)))**2 + ((sqrt(1900) - sqrt(1900)*2)*4 + sqrt(1900) - (sqrt(1900) + (-5*(4 + sqrt(1900)) - sqrt(1900)))).\nAnswer: -200*sqrt(19) + 229921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6126262373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -882+-13513032128\nAnswer: -13513033010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 110 = 13*q. Suppose 60 = 7*i + q. Suppose i*g + 18 = -3. Is g less than or equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -dd0b (base 14) to base 11\nAnswer: -267a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14609 + -4?\nAnswer: -14613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3010 - 1645. Let j = q - 662. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (565\/4)\/((-3)\/(-12))*-194. Round r to the nearest one thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51 + (3 - 43) + 8.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/15 - 456*b\/5 + 1398.\nAnswer: -2*(b - 15)*(b + 699)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -8*o - 7. Let p(a) = -4*a - 3. Give 6*l(i) - 13*p(i).\nAnswer: 4*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -380739*l**6 - 378*l**2 + 2*l + 23 wrt l.\nAnswer: -45688680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -54. Suppose 4*d = -h - 52 - 33, -2*d + 4*h - f = 0. Let y = d + 31. Calculate the remainder when 35 is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - h + 72 = 3*b, -5*b + 75 = 4*h. What are the prime factors of b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbp when three letters picked without replacement from {k: 4, o: 6, b: 4, t: 5, p: 1}.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 7691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3217470 is divided by 1072484?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 165*t - 534 = 660 - 369 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*6\/(-24)*-3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101231 + -221334?\nAnswer: -323120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2817 - -2816.9999998. What is i rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 69200*h - 3111973. What is p(45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -11. Suppose 2*q = 4*q - 4*x + 2, 0 = -q + 5*x - 7. Suppose -q*y + 2*d = 19, -2*y - 2 + 1 = d. What is the third smallest value in 0, c, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -7 - (-27)\/(-36)*-9. Let g = 0 + -5. What is the nearest to -2 in -1, g, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 22 = -5*u, -c - 4*c - 2*u - 24 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.072 - -0.028. Let w = 10 - 11. What is the closest to u in -5\/2, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2\/5, 21, 4.\nAnswer: -0.5, -2\/5, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174, 188, 226, 300, 422?\nAnswer: 604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -6, 13, 52, 117, 214, 349?\nAnswer: 528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a74a2b (base 13) to base 9.\nAnswer: 27483114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*r**2 + 23921*r - 2990.\nAnswer: -(r - 2990)*(8*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/10, 4, 0.02, -2\/17?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 3:40 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120570?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2111420 (base 5) in base 14?\nAnswer: -cbab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*a = 58 + 97 + 30. Put -527, a, 1, 3 in ascending order.\nAnswer: -527, 1, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -13, -5.\nAnswer: -21, -13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**9*t\/t**(2\/7))\/((t\/(t*t**(-2\/9))*t)\/t)**(-1\/3))\/((t\/t**(-1\/3))**(-43))**(-1\/6) assuming t is positive.\nAnswer: t**(44\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -405 divided by 3.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*i**4*j**3 - 38*i**4 - 206*i**2*j**3 + i wrt i?\nAnswer: -288*i*j**3 - 912*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaahahaaaaa. What is prob of picking 3 a and 1 h?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20*1\/8*4\/(-10). Let k(c) = 258*c**3 + c**2 + 2*c + 6. Let l(y) = -1. Let s(j) = w*k(j) - 4*l(j). List the prime factors of s(-1).\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/4 and 73\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 + -31. What is the smallest common multiple of 11 and r?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*d, 5*b + 4*d - 504 = 4*b. Let w = 216 - b. Let f = -172 - w. Is f a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157302 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/1 + 144\/216?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**4\/2 - 314*p**3 + 3714*p**2 - 11088*p.\nAnswer: p*(p - 616)*(p - 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6900*j**2 + 13726*j**2 - 7142*j**2.\nAnswer: -316*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 1111000?\nAnswer: -1110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3931 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*h**3 - 96\/13 + 10\/13*h**2 - 16\/13*h.\nAnswer: 2*(h - 3)*(h + 4)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 - 7*j + 4. Let u be b(4). Suppose -u*q = -c - 3*q - 16, -5*c - 5*q = -10. Is c greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -8, 5, -4 in decreasing order.\nAnswer: 5, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1634, 1536, 1372, 1142, 846, 484?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11303415 (base 7) in base 8?\nAnswer: -3623122","meta":{"dup_signals":{},"source":"numbers__base_conversion_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 2*k**2\/7 - 15424*k + 215928\/7 = 0. Calculate k.\nAnswer: 2, 53982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/8)\/5*(-24)\/240.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3 - 72*o + 131*o + 144*o**2 - 59*o + 565*o**2. Let r(y) = 2*y. What is r(l(d))?\nAnswer: 1418*d**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 22*i**3 + i**2 - 4*i + 19. Suppose 2*h + 2*w - 3 = 3*w, h = -2*w + 9. Is k(h) a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-1 - -4)*15. Suppose 0 = 2*v - 7*v - s. Let c = 13 - v. Solve -5*m + c = 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 12:38 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 133910771?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10591, -21309, -32153, -43123, -54219, -65441?\nAnswer: -76789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70517257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2881207 is divided by 45.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f + 32. Let s be k(-6). Suppose 4*u - s*u + 124 = 0. Let m = u - -64. Calculate the remainder when 6 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5100)\/60*(-920)\/(-782)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 67 + 75 = 0 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/75 and -73\/105?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + -5)*(-1672)\/(-20). Let o = 623 + l. Does 18 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.16231 - -0.08522. Let c = 0.0736 + i. Round c to four decimal places.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1398*c**2 + 45613*c?\nAnswer: -2796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c - 33*c + 66*c - 432 = 0 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8091 in 1, -1\/3, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/7, -5, -37\/14, -2\/17, -0.3 in increasing order.\nAnswer: -5, -37\/14, -0.3, -2\/17, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**4\/12 + y**3\/6 - 6*y. Let h = 1 + 0. Let d(v) = 4*v**2 - 2*v. Give h*d(b) + 2*p(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) + (sqrt(156) + sqrt(156) + -1*sqrt(156) - sqrt(156))*-1 + sqrt(156))\/((sqrt(108)*2)\/sqrt(9)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196851.\nAnswer: 3, 65617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -422*g - 2157. Give a(-5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 8. Let u be y(11). Let r(l) = l**3 + 3*l**2 - l. Let q be r(u). Suppose -h - q*h - 3 = -3*m, -3*m = -2*h - 3. Solve 2*s + 2 = -h*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, s: 6}. Give prob of picking 1 i and 3 s.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -81 (b) -2 (c) 2\/33 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1153 divide 5487711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 4600000. Let o be c(0). What is o rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553000 rounded to the nearest 10000?\nAnswer: 550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -86000 + 650?\nAnswer: -85350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3*4\/((-24)\/(-45))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 0*i**2 + 3*i + 39 + 8*i**2.\nAnswer: 8*i**2 + i + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5835, 11805, 17909, 24147?\nAnswer: 30519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 22221?\nAnswer: 22213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/800100 and -71\/213360.\nAnswer: 3200400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -322 + 322. Let m be 2 + 2\/22*(14 + -26). Is l smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 4*f - 14, 60180*f = 60183*f - 3*b - 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 1:40 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 11 - 2)*(161 - 333 - 16*a + 166).\nAnswer: 224*a + 84","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 55.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 + 114. Let g(w) = -16*w - 17*w - 17*w + t*w. What is g(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 11:55 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106390 and 4210?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 11992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47522, 47521, 47520, 47519, 47518?\nAnswer: 47517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 60 = 8*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 756 and 1827.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*l - 8513 = 0, -o - 474 = -3*l - 4717. What is the remainder when o is divided by 75?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/16)\/(34020\/576 + -59).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 738, 1474, 2210?\nAnswer: 2946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 223*l**6\/30 + 167*l**2 - 925*l. What is the first derivative of a(x) wrt x?\nAnswer: 892*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 - -1) + (1 - 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**13\/x)\/x**(-6\/17))\/(x\/((x\/(x*x**29)*x*x)\/x))**(-19\/3))**36 assuming x is positive.\nAnswer: x**(119964\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*o + 22*o**2 - 11*o**2 + 4 - 9*o**2 - 4*o**2 - 2 + 5*o**3 to c*o**3 + k + a*o + n*o**2 and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**3 - 110*i + 32*i + 201 + 39*i + 39*i in the form d + p*i**2 + v*i**3 + b*i and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 24 - 9. Suppose -5*f - 5*i - 36 = -i, z*i = -5*f - 37. What is the nearest to 0.3 in 2\/13, -3, f?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-9) - (-4)\/(-144). Suppose -3*t + 14*t + 2*t = 0. Which is the nearest to t? (a) 1\/3 (b) -8 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5*f - 4)*(9 - 2 + 0)*(-2*f**4 + 5*f**2 - 5*f**2 + (f**2 + 3*f**2 + 0*f**2)*(-2*f**2 - f + f)).\nAnswer: 350*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-182)\/(-70) + -2)*25\/3 + 12.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 9*n**2 - 18*n - 7. Let c be l(5). Solve 5*g = -0*g + 5*q - 20, -5*g = c*q + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(6\/11)*f**(1\/8))\/((f\/((f\/(f*f\/(f*(f*f**(-7)\/f)\/f)))\/f))\/f*((f\/f**3)\/f)\/f)*(f**(-1))**(1\/40)\/(f**3\/(f\/(f*f*f*f**(-4)*f)*f)) assuming f is positive.\nAnswer: f**(-589\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1482)\/65)\/(2829\/(-1410) + 2).\nAnswer: 2, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 3:21 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 5:22 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eh when two letters picked without replacement from {u: 3, a: 5, e: 1, h: 1, z: 2}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2278074550 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 7 + 4)*(227*o - 1 + 3047*o + 1 - 888*o + 4808*o) in the form u*o + q and give u.\nAnswer: 14388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335092366 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 10*d - 609. Suppose -11 + d = 16*h. Find u such that -36*u + 4\/3*u**4 + 0 - 12*u**h + 36*u**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9436676 + -2?\nAnswer: -9436678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -29*n. Let m(x) = 4392*x**2 - x. Determine u(m(g)).\nAnswer: -127368*g**2 + 29*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 5291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/((-960)\/330))\/((-2)\/(-8)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 6\/5 (c) 2 (d) 2\/11 (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 24. Suppose -r = h - 5*h. Let m(q) = -q**2 + 5*q + 3. Let i be m(h). Let f(y) = -y**3 - 5*y**2 - 2*y + 1. Give f(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 30 - -60597?\nAnswer: 60607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0504 - 1.0504. Let p = 99 - 94. What is the closest to r in -1, 1\/4, -0.1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8277?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**3 + o - 67*o**2 - o + 0*o.\nAnswer: o**3 - 67*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-54)\/(-18))\/12*-6)\/((-25)\/2)\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707754?\nAnswer: 2, 3, 117959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/80 - (-77)\/(-630). Let y = 0.6 - 0.2. Suppose 0 = -4*t + 3 + 1. Which is the third biggest value? (a) y (b) t (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8592837.92000034 - 8592838. Let o = 0.08 + y. What is o rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -8 + z - 25 + 0*z + 3*z. Let t be w(14). Suppose -t + 72 = m. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37843 and 104?\nAnswer: 302744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6909488 to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c + 1291 - 2579 + 1289 + (4 + 2*c - 4)*(4 - 4 + 2) in the form z*c + v and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33789.77 millilitres to litres.\nAnswer: 33.78977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-5))\/(1\/(-5)). Let z be (-6)\/(-1)*j\/(-4). Suppose 2*v = -u - 4*u - 3, v = 2*u + 21. Solve 2*b - z = i + v, 4*i + 4*b = 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149206?\nAnswer: 2, 61, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88099.9 + -84226. What is a rounded to the nearest 10?\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 + -64?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/1352435 and -75\/68.\nAnswer: 5409740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*l**3 - 19*l**3 - 18*l**3 + (3*l - l + 0*l)*(269*l**2 - 2 - 12 - 267*l**2) + 4*l**3 + 0*l**3 - 2*l**3.\nAnswer: -11*l**3 - 28*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -4*j - 4, -20*k - 4 = -18*k + 4*j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6288+3.2001\nAnswer: -6284.7999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/31 (b) 21 (c) 1 (d) -9 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 240 = 3*f. Let g = f - 78. Solve g*x = -2*x - 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5\/3 - 13*i**4\/3 - 22*i**3\/3.\nAnswer: -i**3*(i + 2)*(i + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of q**9\/3780 + q**8\/420 + 2*q**7\/315 + 11*q**4\/12 + 9*q. Let t(r) be the third derivative of v(r). Factor t(x).\nAnswer: 4*x**2*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (21 + -84 - -26)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 660 is divided by 290?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8691*o + 8729*o + 266 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 503 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w - 29. Give v(23).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19713788*d**4 - 96557313*d.\nAnswer: 236565456*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r + 15. Let y(u) = -1. Let q(l) = -3*l**3 + 92*l**2 + 33*l - 66. Let t be q(31). Determine t*y(a) - b(a).\nAnswer: -2*a - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1 - 5*g**2 - 3 + 3 + 2*g. Let k(o) = -o**3 + 10*o**2 - 8*o - 8. Let p be k(9). Let j be m(p). Sort 2, j, -5 in increasing order.\nAnswer: -5, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05525 + 755.05525. Is 0.1 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7004*n - 14350.\nAnswer: 7004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -168 (base 11) to base 6\nAnswer: -523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 75, 84, 97?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 927*i - 9376. Determine s(10).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 + 0)*(28 - 29 - 111)*(2 + 11 - 27)*(y**2 - y**2 - 3*y**3) to z*y**3 + u + l*y + b*y**2 and give z.\nAnswer: -9408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -29*n**9\/504 - 2*n**5\/15 - 11*n**2 - 4. Let p(h) be the second derivative of v(h). Find the third derivative of p(y) wrt y.\nAnswer: -3480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 2*k + 3441 - 1723 - 1715.\nAnswer: 4*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/24 - 34\/(-6). Let r(v) = -3*v + x*v - 3*v + 7*v. Let s(o) = 2*o. Give s(r(h)).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 96951267?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4233*s**2 + 4235*s**2 - 7*s + s + 36)*(-4 + 3 + 4)*(2 + 2 - 5) as j + i*s**2 + q*s and give j.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*f - 104 + 12*f + 360 - 384 as c*f + m and give m.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, -3, -22?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 27 + 23. Let w be t\/(-5 - (0 + -3)). Let a = w - 3. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-120)\/32)\/((-2)\/(48\/9))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44546 - -47287. What is the remainder when x is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 73922 by -1.\nAnswer: -73922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 203 - 214. What is the nearest to j in -3, 3\/2, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -444*z + 1764. Give m(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41\/24 + -11\/8. Suppose -2*x + 78 + 23 = h, x + 282 = 3*h. Let z be h\/25 + 1\/5. What is the second biggest value in z, k, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = 5*z - 145. Suppose -z*l + g + 1958 = -4*l, 0 = -2*g + 4. Is l less than 393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 5*m**3 + 12*m**3 - 18*m**3 + 13.\nAnswer: -m**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16337, -32698, -49067, -65444, -81829, -98222?\nAnswer: -114623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of c**8\/20160 - c**7\/1008 + c**6\/180 + c**5\/20 + 2*c**2. Let v(r) be the third derivative of l(r). What is v(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 9*q**2 - 2*q - 2. Let t(d) = -d**2 + d + 1. Calculate 2*t(s) + v(s).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.01232 - 0.01232. Which is the third biggest value? (a) l (b) -2\/7 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14.7 + 11.7. Which is the biggest value? (a) 0.1 (b) d (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 - 19*h + 4. Let v be w(-9). Let y = 50 - 43. Solve 5*i + v = -y for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*v**2 - 13 + 13.\nAnswer: -37*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 6*q + 2\/3*q**3 + 1 + 3*q**2. Is 10 a factor of r(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13289486 and 1421.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 + 0*y**2 + 2*y**2)*(-17*y**3 - 32*y**3 - 7*y**3).\nAnswer: -112*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63082, -126107, -189132, -252157?\nAnswer: -315182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 118766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 16 (b) -59 (c) 1.58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -5*z + 16. Let y be l(-7). Let g be (-2)\/(-3) - y\/9. Let f = -37\/2 + 17. Which is the second smallest value? (a) g (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 862823.\nAnswer: 13, 31, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 7:35 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.4000063 - -13.4. Round n to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 divided by 6593683.\nAnswer: -19\/6593683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/(-48))\/(4*-2 + (-2724)\/(-360)). Factor 6\/13*p**2 - l*p**3 + 18\/13*p + 0 + 2\/13*p**4.\nAnswer: 2*p*(p - 3)**2*(p + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**4\/6 - 2*c**3\/27 - 20. Factor y(j).\nAnswer: -2*j**2*(3*j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 5*b - 6. Calculate r(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 0, 5, 1.3 in increasing order.\nAnswer: -0.03, 0, 1.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 191*q - 9158. Give b(48).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114\/(-4)*-8*(5\/(-14))\/((-1200)\/280).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5631225 to the nearest integer?\nAnswer: 2373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 24 = 3*i - 2*i, z - 10 = -5*i. Suppose -4*l = -3*a - 0*a - 33, 0 = l - z*a - 21. Let o = l - 9. Let c(r) = r**3 + 4*r**2 + 3*r. Determine c(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3046687?\nAnswer: 7, 317, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -71*z - 3606. Give q(-51).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 591120 or 1773358\/3?\nAnswer: 591120","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*m + 51*m - 2*m + (-2*m + 4 - 4)*(-3 - 2 + 7) + 5 + m - 5)*(0*m + m**4 + 0*m).\nAnswer: 61*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 14*z**2 + 4*z - 56. Calculate q(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*z - 507 = -225 + 747. Let w(r) be the first derivative of 0*r**3 + 0*r**4 + 18*r + z + 19\/5*r**5 + 0*r**2. Differentiate w(y) wrt y.\nAnswer: 76*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 439 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 10:42 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-18)*1*-4. What is the second smallest value in -5, r, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.038, 22, -25, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -50399 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 + 26*c + 64. Let d be y(15). Suppose d*f + 4*f = -5*f. Put f, 27, -4 in decreasing order.\nAnswer: 27, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61219 = 127*y - 60203 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 21 = 12*p - h, -3*h + 12 = 0. Let g(q) = 3*q**3 + 5*q**2 - 5*q - 5. Let r(w) = -2*w**3 - 4*w**2 + 4*w + 4. Calculate p*r(m) + 4*g(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 6 + 3 + -18.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -272 * 10675.\nAnswer: -2903600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 114 = 2*j, -68*b + 65*b = -2*j + 65. What is the remainder when 184 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 0)\/(4 - 6). Suppose 3*i + q + 28 = k, 0 = -7*i + 4*i + 5*q - 22. Let u be -24*6\/i*1. Solve 3*r = -r + u for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -9*t**3 + 21*t**2 - 23*t - 7. Let h(x) = 5*x**3 - 11*x**2 + 12*x + 3. Let r(f) = -11*h(f) - 6*s(f). Let m be -9*(72\/27 + (-4)\/2). Give r(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 0.4753?\nAnswer: 0.4753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.2 (b) 2\/9 (c) 0.08 (d) 1.4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181*y + 18 = 178*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 + 3*b**3 - 6*b**3)*(-b**2 - 4*b**2 + 6*b**2 + (-b - b + b)*(-5*b - 10 + 10) - 2*b**2 - 1 + 1).\nAnswer: -16*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1268917?\nAnswer: -3\/1268917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50625*a**5*p**2 - 7*a*p**2 - 3*a*p + 81 wrt a?\nAnswer: 1012500*a**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**6\/840 - k**4\/168 - 29*k**2\/2 + 4. Let m(l) be the second derivative of j(l). Determine c so that m(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 3*z. Let b(r) = 2*r + 3. Let n(t) = 15*t + 25. Let a(m) = 25*b(m) - 3*n(m). Give 5*a(h) - 8*s(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*d*i**3*l**2 + 11940*d*i**3*l + d*i*l - 1670*d*l**2 + 2*i**3*l**2 - 5*i**3*l wrt l?\nAnswer: -22*d*i**3 - 3340*d + 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 7 + 1 = 0. Let r = 35 + g. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(-22)))**(-3\/2)*((c*c*c\/c**(9\/4)*c)\/c*c)**(1\/44) assuming c is positive.\nAnswer: c**(-5801\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m - m + 4*m + (-3*m + 7*m - 2*m)*(1 + 0 + 0) + ((-m + m - m)*(0 + 5 - 3) + 3*m - 16 + 16)*(-3 + 2 - 1)*(101 - 15 - 5).\nAnswer: -161*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*8\/(0 - 2). Suppose k*t = -t + 75. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -178, -288, -416, -568, -750, -968, -1228?\nAnswer: -1536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - (3 + -45 + 70).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -14338 - -14337.893. Sort y, -2, 2\/11, -4, 2 in decreasing order.\nAnswer: 2, 2\/11, y, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*6\/90*-15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5826635, 5826662, 5826689, 5826716, 5826743, 5826770?\n\"Answer: 27*d + 5826608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p - 2*p + 2*p - p. Let l(v) be the first derivative of v**2\/2 + 2. Give l(b(c)).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 223511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 46\/5 of a millisecond?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2232469?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -6b8d7?\nAnswer: -6b8d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 5:20 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13\/2877 - -55708\/1504671. Calculate the common denominator of k and -43.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 30*w**2 - 84*w - 62. What is the remainder when n(-27) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85972753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -1 - (10 - -3 - -1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -6*d**3 - 8*d**2 - 23*d + 2. Let q(p) = 3*p**3 + 6*p**2 + 12*p - 1. Determine -3*c(l) - 5*q(l).\nAnswer: 3*l**3 - 6*l**2 + 9*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -23*m**2 - 155*m + 2198. What is o(14)?\nAnswer: -4480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, n: 1, s: 1, i: 5, z: 3}. Give prob of picking 2 i.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 - 38*f\/7 - 176\/7.\nAnswer: -2*(f + 8)*(f + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/411 and -20\/411.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/1986 and -73\/1324.\nAnswer: 3972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 3) to base 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20403907\/288 - -70847. Let n = 6430 + -173635\/27. What is the common denominator of n and x?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 432 in 0.5, -9\/8, -3, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**4\/4 + 4*i**3\/3 + 5*i**2\/2 + 3*i + 6. Let u be y(-3). Which is the closest to 1\/2? (a) u (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of k**5\/60 + 8*k**2 - 13*k. Let c(d) be the first derivative of m(d). Let z(i) = 4*i - 19*i + 6*i + 8*i. What is z(c(f))?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, m: 2, p: 4}. What is prob of picking 2 m and 2 n?\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, e: 1, b: 6, o: 2, a: 2}. Give prob of picking 2 a.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 37 = -95. Calculate the remainder when g is divided by 2\/5 + (-146)\/(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**7\/1260 - s**4\/6 + s. Let d(r) be the third derivative of a(r). Let k(w) = w**2. What is k(d(m))?\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from {w: 4, n: 2, r: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 + -6143?\nAnswer: -6121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (6 - 0 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 5*n + 0*n - 50 = 0, -5*k = -n - 34. Suppose -k*j - 3*j + 576 = 0. Which is bigger: j or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -740078, -739963, -739848, -739733, -739618, -739503?\n\"Answer: 115*y - 740193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15585 is divided by 116?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 89311 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, d: 1, x: 1, f: 1, z: 2, r: 2}. Give prob of sequence rr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 185, 325, 559, 935, 1501, 2305, 3395?\n\"Answer: 8*w**3 - w**2 + 87*w + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -217926 <= 0.282?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 AM and 1:52 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*t + 175. Let n = t + -102. What is the remainder when n is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.191076236 rounded to five decimal places?\nAnswer: 0.19108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9416926349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 183, 114, 45, -24, -93?\n\"Answer: -69*y + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l**4 + 23*l**2 + 99*l*q + 2*l + 53*q - 119 wrt l.\nAnswer: 4*l**3 + 46*l + 99*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 864 and 28404?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 37.95012 millilitres?\nAnswer: 0.03795012","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22\/3 + 148\/21. Is p equal to 0.016?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c**6\/c)))\/(c**(2\/11)*c))\/(c\/(c**(-3\/5)*c*c)*c\/c**(-3)) assuming c is positive.\nAnswer: c**(12\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62501 is divided by 687.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 a factor of 2479382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/(126\/108)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -6 and -5256571 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16302 + 16302. Solve 4*i + 12 = u, -5*s + 12*i = 7*i - 20 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 27. Let h be -3 - (2 - t - 8). Let c be (h\/(-24))\/(0 - 3\/(-9)). Are -2\/11 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2229336 (base 11) to base 12.\nAnswer: 1384b1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1648 divided by -206?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 157183901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(133)*-2)\/(-5*sqrt(21)\/sqrt(3)*-1).\nAnswer: 4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 3:58 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539 is divided by 174?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 196*t**2 - 2701*t - 11. What is a(-15)?\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(143)*-5 + sqrt(143))\/(4*sqrt(704)))**2.\nAnswer: 1053\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/(b*b**(1\/12)))))\/(b\/((b*b\/b**(4\/7)*b*b)\/b)))\/(b*(b\/(b*b**(3\/8)\/b))\/b*b*b\/b**(6\/11)*b*b) assuming b is positive.\nAnswer: b**(-5053\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 150 = -r. Suppose 3*n = 22*a - 27*a + 53, -4*n - 4*a + 76 = 0. Suppose -3*b = n - r. Which is smaller: 20 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 302 from -0.4.\nAnswer: -302.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**3 + 5396*f**2 + 70824*f = 0.\nAnswer: -13, 0, 1362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 5:49 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/1325 and -22\/400415.\nAnswer: 2002075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1080.2 - -1078. Which is the closest to -2\/3? (a) k (b) 0.4 (c) 1.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -113\/4 (b) -1\/5 (c) -0.3 (d) -3\/4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**3 - t**2 + 1. Calculate n(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2216, 9135, 20664, 36809, 57576, 82971?\nAnswer: 113000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 10 = -2*g. Let k = 24 + g. Suppose k = x - 0*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (-1)\/(-1) - -6. Let i = o + -5. Suppose -3*d - i*d - 2*r = -35, 0 = -d + 2*r + 19. Solve 0 = 3*b - 0 - d for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + o**4)*(5 - 2 - 1 + (1 - 2 + 2)*(0 + 1 + 0) + 2 + 0 - 1 - 2 - 2 + 3)*(3*o - 5*o - 4*o).\nAnswer: -18*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (58 + -1)*1\/1?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/32 and 23\/2736?\nAnswer: 5472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -7.9. Let w = -4 + 4.4. Let c = 0.1 - w. What is the nearest to t in -0.1, c, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 654908 to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-94)\/(4 - (-45)\/(-12)). Find the common denominator of -149\/6 and ((-3)\/12)\/(14\/s).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**2 - 3*x - 7. Let t be l(5). Let q be ((-8)\/(-12))\/(2\/6). Suppose t = -q*n - 52. What is n rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + k + 150 = 20, 5*k = -y + 22. Solve -3*j + 5*x = j + y, -3*x + 12 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 67, 103, 151, 223, 331, 487?\n\"Answer: 2*y**3 - 6*y**2 + 40*y + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 1.1, 2\/11, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 50.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide ((-7)\/10 + (-38)\/(-190))\/((-1)\/79360)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgvt when four letters picked without replacement from ntnnnngvvtvnvn.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 9691379?\nAnswer: 4845689.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4864672 and 10576?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 126390226*o**3*q**3 - 292*q**3 - 15732 wrt o.\nAnswer: 379170678*o**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(1\/2))\/(w*w**(7\/3)))\/((w**24*w)\/w**(-11\/3)) assuming w is positive.\nAnswer: w**(-63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, r: 1, x: 1, s: 1, z: 1, l: 2}. What is prob of picking 1 z, 1 r, and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 2. Let x be d(-5). Suppose x*f = 3*f + 4. Let i be f - (-3 + (-1 - -4)). Let a(k) = 6*k**2 - k + 1. What is a(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 307, 754, 1505, 2566, 3943?\n\"Answer: k**3 + 146*k**2 + 2*k + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21516381604322 - 21516381590616.000006827. Let f = v + -13706. Round f to seven decimal places.\nAnswer: -0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v = 5*h - 306, -36815 + 36278 = -3*v - 9*h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/6, 1, 17, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4.9, 4, 0.27, -9, -1658?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**4 - 68*s**3 - 180*s**2 - 172*s - 56.\nAnswer: -4*(s + 1)**3*(s + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-14)*i*i**36)\/((i\/i**18)\/i)**(1\/3) assuming i is positive.\nAnswer: i**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*(-78)\/(-286)*((-30)\/54)\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (-3)\/1 + 146. Suppose 40 = -4*r + j. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, g: 3, f: 3, v: 6}. Give prob of picking 2 v and 1 c.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2627 = -2*x, -4*x - k = -5029 - 258. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447063 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqqg when four letters picked without replacement from {g: 2, q: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 5*w + 5*w + (4 - 6 + 4)*(w - w - 2*w))*(-6*w**2 - 1 + 1) + (3*w**2 + 2*w**2 - 4*w**2)*(-3*w + 7 - 7).\nAnswer: 33*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 + 131 = 4*w + 2*q, -w + 5*q + 51 = 0. What is the remainder when w is divided by ((-66)\/55 + 4)\/((-6)\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 6:56 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 12*v**2. Let k(h) be the third derivative of -2*h**5\/15 - 37*h**2 + 2*h. Calculate w(k(f)).\nAnswer: 768*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t**2 - 150*t + 107*t - 2*t**2 in the form s + l*t**2 + b*t and give b.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -304 - -2433\/8. Sort p, -1, -2\/7, -1\/4 in ascending order.\nAnswer: -1, -2\/7, -1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25831922 a multiple of 389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22710*v + 22710*v + 10*v**3.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 0.1918 (c) 2 (d) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbbertw. Give prob of sequence te.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 375 - -165130?\nAnswer: 165525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7027 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2162000 rounded to the nearest 10000?\nAnswer: -2160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3 + 4139*p**3 + 5.\nAnswer: 4139*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*m + 0 - 17)*(0*m - m + 2*m).\nAnswer: -2*m**2 - 13*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14bb7c (base 13) to base 7.\nAnswer: -4230511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 533 + -507. Let v = -28 + 64. Suppose d*a - 14*a - v = 0. Solve -a*r = r - 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 6*j**2 + 8*j - 5. Suppose 0 = 3*f - 0*c + 5*c - 10, 2*f + 4*c - 6 = 0. List the prime factors of v(f).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 4*q - 6. Let m be f(2). Suppose -4*t = -2*s - 1104, m*t + 5*s = 6*t - 1092. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -8*l**5\/15 - 1754*l**4\/5 - 40436*l**3\/15 - 29486*l**2\/5 - 37676*l\/15 + 1040 = 0.\nAnswer: -650, -4, -3, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 11:04 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41130183.\nAnswer: 3, 13710061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1249, 3, -4, 77 in ascending order.\nAnswer: -4, 3, 77, 1249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*n**2 + 6*n**3 - 54 - 54*n - 3*n**4 + 46*n**3 + 4*n**4 + n**5 + 17*n**4 + n**5.\nAnswer: 2*(n - 1)*(n + 1)*(n + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 12 = 3*i, -g = -3*i + 11 + 1 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.07 to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35481047 - 12079047. Round b to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -9 + 8 - (5 + 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.28 + 95396140.\nAnswer: 95396141.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3\/5 - 30*b**2 + 98354*b\/5 - 1618842\/5 = 0.\nAnswer: -269, 17, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -183, 100, 23, 3, -8, -1 in decreasing order.\nAnswer: 100, 23, 3, -1, -8, -183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1043203 rounded to three dps?\nAnswer: 0.104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/76 and -27\/2332?\nAnswer: 44308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from {r: 1, w: 1, y: 1, d: 1, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -1)\/(1\/(-6)). Suppose c - v = -6. Suppose -s + 0*s + c = 0. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 8:42 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -6*h - 4. Let y be 1*(h - (4 - 5)). Suppose 2*p - t + 29000 = -y*t, 5*p = -5*t - 72500. Round p to the nearest 1000.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + 9a81?\nAnswer: 9a78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/6 + 4907*75\/630. Solve 4*f = o - 588 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -324*p**3 + 12060*p**2 - 97888*p + 228528 = 0.\nAnswer: 46\/9, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/2*6*-1. Let h(g) = 2*g - 2*g + 12 + 0*g - g. Let u be h(p). Solve -14 = -u*d - 2 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250455365 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3001.577t in nanograms?\nAnswer: 3001577000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 3*c + 15 + 31, -4*z - 3*c = 157. Let o = 66 + z. Suppose -3*p + 172 = 5*a - o, a = 4*p - 291. Is 18 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1394126 is divided by 232012?\nAnswer: 2054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6485*i - 10813 wrt i?\nAnswer: -6485","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 e when three letters picked without replacement from {l: 5, e: 2, j: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63529 is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**3 - 16*h**2 - 16*h - 46. Let v(q) = -q**3 + 5*q**2 + 5*q + 16. Let n(k) = 4*d(k) + 11*v(k). Give n(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2. Let k(s) = -38*s**2 - 2*s - 12*s + 14*s. Calculate r(k(u)).\nAnswer: 1444*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99 divided by -259.\nAnswer: 99\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8766, 20947, 33128?\nAnswer: 45309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 0.095, 1 in increasing order.\nAnswer: -3\/2, 0.095, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 32*l**2 + l - 82. Determine v(32).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91827.\nAnswer: 3, 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130000 (base 5) to base 2.\nAnswer: 1001110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1231, 1232, 1233, 1234, 1235, 1236?\n\"Answer: w + 1230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 294 + -275. Suppose -s - 5*z = -0*z - c, 5*s = 3*z + 11. Solve -3 + 6 = 2*f + l, 3*f = -s*l - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - -3 - 1*2. Suppose 20 - 35 = -m*i. Suppose -3*l + 85 + 19 = -2*p, 4*p = -i*l + 144. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54.5 - -54.5431. Let c = -117.962 - -118. Let j = d - c. Round j to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184 and 98346344?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-5*(sqrt(405)*-3 + sqrt(405) - sqrt(405)) - sqrt(405)) + 1).\nAnswer: -252*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311\/11 - 16\/88 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ca30e2 - 3?\nAnswer: ca30df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1144*x**4 - 802*x**3 - 1978683.\nAnswer: 4576*x**3 - 2406*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5 = 10. Suppose -76*l = -78*l - 190. Let j = b - l. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 11*l + 1. Determine x(3).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Suppose -5*t + 35 + 15 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-904)\/240 - (-264)\/72. Is 7\/5 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) 17 (c) -4 (d) -3 (e) 14 (f) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1582613351?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**5 - 26*u**4 + 66*u**3 + 234*u**2 - 756*u = 0. What is u?\nAnswer: -3, 0, 3, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2421 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3574*d**2 + 129*d**3 + 3574*d**2.\nAnswer: 129*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -18145 to the nearest one thousand.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z = 78 + 524. Let v = z - -48. Suppose p - 64 = w, -v*p + 2*w + 328 - 20 = 0. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150853524?\nAnswer: 2, 3, 12571127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 - 6306039*p + 75672484\/3.\nAnswer: -(p - 4)*(p + 18918121)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 2*p + 50. Suppose -3*v = 3*h - 1 - 38, -4*h = -4*v + 12. Let u be o(v). Factor 0 - 3\/5*f**u - 1\/5*f**3 - 2\/5*f.\nAnswer: -f*(f + 1)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1\/4, -0.1, 3\/38, 5 in descending order.\nAnswer: 5, 1\/4, 3\/38, -0.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/42)\/((-15)\/(-120))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 4:14 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 111721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 435, 3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 6*j**2 + 4*j + 7. Let i be p(5). Let d(f) = 13*f**3 + f**2 - 5*f + 5. Calculate the remainder when d(i) is divided by 34.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 204 = -5*t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -0.7, -12, -0.4 in increasing order.\nAnswer: -12, -0.7, -0.4, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (((-80)\/64)\/((-15)\/(-10)))\/((-5)\/(-3))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 * -2.19\nAnswer: -6.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 + 17616136*f**3 + 38791083794684*f**2 + 232746027132648*f + 349118802881298.\nAnswer: 2*(f + 3)**2*(f + 4404031)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 16, 15, 14, 13, 12, 11?\n\"Answer: -c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 6\/(-5))\/(8\/(-20)). Calculate the greatest common factor of v and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8877395 <= 8877395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15970, 129686, 438880, 1041292, 2034662?\n\"Answer: 16290*l**3 - l**2 - 311*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 25*x**2 + 51*x + 47. Let y be q(27). Is (-1)\/2 + (-14161)\/y a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 56*x - 58*x + 17, -3*i - 4*i + 5 = -10*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2067, -5, 5612, 11, 5.\nAnswer: -2067, -5, 5, 11, 5612","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 20*l - 34*l. Suppose 6*h - l*h - 3*k = 28, 3*h - k - 16 = 0. Let n(m) = -3*m**2 + 3*m - 5. Determine n(h).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**5\/180 + 43*b**4\/72 + 140*b**3\/9 + 34*b**2 + 8. What is l in k(l) = 0?\nAnswer: -35, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14155181 is divided by 4861.\nAnswer: 4810","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6b - -4d?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(3\/(-14))*(-126)\/(-252).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -20*q**2 - 5*q - 15. Let c(n) = -14*n**2 - 4*n - 12. Let g(r) = -5*c(r) + 4*d(r). Let v(y) = 49*y + 1. Give g(v(p)).\nAnswer: -24010*p**2 - 980*p - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/7 and 0 + 133\/10 + -3.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 8*k = 16. Suppose 8 = 2*h - 5*z - 11, -4*h - k*z - 32 = 0. Let i(c) = -2*c**2 - c**3 - c - 2 + 0*c**2 - 2*c**2. Calculate i(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92967410 divided by -18593482?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/(-15))\/((-1095)\/1314))\/(1\/130)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12\/((-2184)\/26))\/(4\/2)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -848 - -1334. Suppose 5*o = -2*c + t, 4*c - 5*o = 1321 - 319. Let n = c - 134. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61*70\/56*(-2)\/30*-6?\nAnswer: -61\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62465458 is divided by 122?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4)\/(p\/p**(-14)))\/((p**(-3)*p)\/p*p)**(-22) assuming p is positive.\nAnswer: p**(-237\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24298*u + 28168*u - 20532*u + 8167*u to i + z*u and give z.\nAnswer: 40101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3000 and 160.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 195 in -4, 23\/3, 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/14)\/(6\/588). Let m = 98 + c. What is the smallest common multiple of 24 and m?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 2*o**7\/105 + 149*o**6\/120 + 7*o**5\/60 + 5*o**4\/8 - 1715*o**2. Find the third derivative of l(b) wrt b.\nAnswer: 96*b + 894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.4 = -351702?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160460, 641885, 1444254, 2567567, 4011824?\nAnswer: 5777025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14702585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 0*n**3 + 0*n**2 + 1\/12*n**4 - n + 0. Let t(z) be the first derivative of z**2 - 11. What is a(t(o))?\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4343 divided by -101?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-12)*-4)\/((-2488)\/933).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711195 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3865846*a*o**3 + 9202*o**3 - 541 wrt a.\nAnswer: -3865846*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-77) - (-2712)\/8701\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.132737 millilitres to litres.\nAnswer: 0.000132737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 w when three letters picked without replacement from {b: 2, w: 4, e: 2, l: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 84.1 - 84.0998872. What is t rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (36\/(-30))\/(2\/40). Let f = l - -38. What are the prime factors of (-12)\/(-7) + 4\/f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 54 = 4*n + 3*f, -4*f - 30 = 2*n. Let g = 11 + n. Is g + -59*(-2)\/1 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110, 245, 402, 575, 758?\nAnswer: 945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-73)\/73)\/(-2*1\/10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 38936256, 38936254, 38936250, 38936244, 38936236?\n\"Answer: -s**2 + s + 38936256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1d4d7 (base 15) to base 12\nAnswer: -473aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/2)\/((15\/(-10))\/3). What is n in 3*n**4 - 9*n**h + 10*n - 5*n**2 - n**3 + 2*n**4 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 29\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**2 + 2426*l - 4856 = 0.\nAnswer: -2428, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from boocboozcoooobzoc. Give prob of picking 1 o, 1 b, and 1 c.\nAnswer: 81\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 562 is divided by 190?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + 2*(5 + (-3 + 1 + sqrt(2736))**2 + (sqrt(2736) + -5 + sqrt(2736) + 1)**2 + -5)).\nAnswer: -1920*sqrt(19) + 109620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(4\/13)*q*(q\/(q\/(q*q**(-10)*q*q*q)*q))\/q assuming q is positive.\nAnswer: q**(-82\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9075.494ml?\nAnswer: 9.075494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 31. Suppose l - 28 = -c. Is 18 a factor of -14*(-8)\/28*l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222791.\nAnswer: 222791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmmxxm. Give prob of picking 2 x.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 367617 and 0.8.\nAnswer: 367617.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 956564816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -6*f - 1. Let b = 1513 + -1508. Let n(z) = -6*z - 1. Determine b*n(u) - 4*l(u).\nAnswer: -6*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 0*u - 198. Suppose -2*k + 4*v = -16, 4*v - 214 = -206. Calculate the highest common factor of u and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 8. Suppose -3*w + z = -n*z - 25, 4*z + 33 = 5*w. Suppose 3*v - w*f - 22 = -0*v, -5*v + 18 = f. What is the greatest common divisor of 10 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k = -7*k - 64. Factor 72 + 80*w + k*w**2 + 2*w**3 + 46*w**2 - 28*w**2.\nAnswer: 2*(w + 2)**2*(w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - m - 225. What is the units digit of (-2)\/6*(m + 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 67812?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*j = 154*j + 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**4 + 100*z**3 + 90*z**2 - 400*z - 392 = 0.\nAnswer: -49, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9502 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -9*c**2 + 38*c**2 - c - 21*c**2 - 2*c - 10*c**2. Let w(l) = 12*l**2 + 17*l. Determine -34*p(b) - 6*w(b).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 9. Give n(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -95, -200, -315, -446, -599, -780, -995, -1250?\n\"Answer: -n**3 + n**2 - 101*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = 4*i - 133. Is (45\/(-20))\/(i\/3072) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9\/(-6))\/(2 + 13\/(-8)). Let a(j) = -13*j + 4. Let y(t) = 12*t - 3. Let w(c) = s*y(c) - 3*a(c). Let u(z) = 5*z**2. Give u(w(b)).\nAnswer: 405*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4236.\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -16?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 269 (base 12) in base 4?\nAnswer: 11301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -16 - (-1 - (1 - 16)) - 6?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - 5*n**2 - 49 - 3*n**2.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 529 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 6*t**2 + 7*t. Let m be p(5). Suppose m*q - 12*q = 0. Let s(y) = q + y**2 + 0 - 5*y + 1 - 4. Give s(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 244460?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 548301175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176427270?\nAnswer: 2, 3, 5, 1960303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.305445 millilitres to litres.\nAnswer: 0.009305445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/4965 and 22\/3.\nAnswer: 4965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a (base 16) in base 14?\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 8. Suppose 4*p - 12 = 4*m, -2*p + 1 = -m - 2. Suppose -5*o + b = -0*o - 40, 4*b + 20 = p. Suppose 0 = o*u - 62 + 20. Calculate c(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 508501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3. Let y(c) = -c + 2. Let b(q) = -2*x(q) - 3*y(q). Let a(d) = 2*d**2. Determine a(b(p)).\nAnswer: 18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 117, 124, 143, 180, 241, 332, 459?\n\"Answer: h**3 + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 232 = -7*y. Suppose -2*z + 4*m = -28, -z - m + y = -0*z. What is the derivative of 22*r**4 + 15*r - z*r + 22 + 9*r wrt r?\nAnswer: 88*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43*z**4 - 41*z**4 + 100*z**4 + (0 + 0 - z)*(0*z**3 + 3*z**3 - z**3) + 0*z**4 + 4*z**4 - 5*z**4 + (5 + z - 5)*(0*z**2 + 0*z**2 - 3*z**3).\nAnswer: 96*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1117938590?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 868626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 + 16. Let c = j - -16. Suppose -3*b - 9 = 2*q, q - 17 = -3*q + b. Solve q*m + 7 = i, -4*i = -i + m + c for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (10 + -4)) + 2 - (41 + -33) - 12\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -526422 by -78.\nAnswer: 6749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 + 28*y + 4. Let f(z) = -6*z**2 - 57*z - 7. What is 4*f(q) + 7*i(q)?\nAnswer: -10*q**2 - 32*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**5)\/c)\/(c\/(c*c**(-2\/11)))*(((c\/((c\/((c*c\/(c\/(c**(-5)*c))*c*c)\/c)*c*c)\/c))\/c*c)\/c)\/c**(3\/13) assuming c is positive.\nAnswer: c**(-1346\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3555040 divided by 2614.\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -21 (b) -1\/8 (c) 1\/3 (d) -619 (e) 158 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130536 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a + 7*a + 5*a + 10*a - 33*a.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -98, 85132, -2 in decreasing order.\nAnswer: 85132, -2, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01044039995 rounded to four decimal places?\nAnswer: 0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/31, -1, 3?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of d**9\/6720 - d**7\/720 - d**5\/10 + 6*d**2. Let m(b) be the third derivative of o(b). Find the second derivative of m(a) wrt a.\nAnswer: 54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/653, 1\/142, 0.046?\nAnswer: 1\/653","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d - 48. Let i = 28 + d. Suppose 3*y + 0*c + 4*c = 4, 2*y = -4*c. Solve -3*m = -y*m - i for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y**3 - 39*y**2 + 69*y - 37. Let n(z) = z**3 + z**2 - z + 1. Let f(g) = -30*n(g) - 5*u(g). Solve f(o) = 0 for o.\nAnswer: 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 14 - 4 = 5*u, 0 = 4*g - 5*u + 7. Let y be (g + 1)\/(4\/(-6)). Solve -4 = y*r - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30791*p + 42380 = 29976*p for p.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -48, -103, -160, -219, -280?\n\"Answer: -m**2 - 52*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-28))\/(99\/77)*1\/(-2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 50\/14 - (-18)\/42. Suppose y = -p*y + 110. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 3060.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 4*w + 1. Suppose 0 = 2*i + t - 3*t + 6, -3*i = -5*t + 15. Suppose 3*k + 0*k + 31 = 5*y, i = -5*y + 4*k + 33. Determine c(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**2\/6 - 17*i\/2 - 5\/3 = 0.\nAnswer: -10, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 3*f**2 - 5*f**2 - 16*f + 2*f**2 + 3. Calculate the smallest common multiple of 0 - 1 - (0 + -21) and t(17).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5557?\nAnswer: 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppprprprpppppp. What is prob of sequence rp?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00115941278 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -837e73 (base 15) to base 9.\nAnswer: -12681480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4d4 - 31?\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, 0.31, -13.452, -1\/9?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/8 in 4, 0.1, 0, -8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 16016 divided by 13\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5612 and 0.04.\nAnswer: -224.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + s - 4. Suppose -2*z + 8 = -s*z. What is the tens digit of 3 - (-3 - z) - -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of 0 - 5\/6*i**3 + 3*i**2 - 1\/60*i**5 + 1\/120*i**6 + 0*i + 1\/4*i**4. Is h(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, -3, 1, -14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.4 and -5462?\nAnswer: -7646.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*-2.83.\nAnswer: -50.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9546251543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3710*z**2 + 2112*z**2 - 4 - 2281*z**2.\nAnswer: -3879*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38.91 - 0.91. Let f = k - 34.8. Let v = f + -3. Which is the smallest value? (a) v (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 2:32 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -566 + 556. Let s = -0.07 + 0.37. Which is bigger: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 41*u + 292. Give b(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -2003052?\nAnswer: -5\/2003052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 4 - -2 - (2 + -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -1.5\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 917.5672 years in months?\nAnswer: 11010.8064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1236 and -1916 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-9 + 5) - 2) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2015 + 2018. Solve 18 = -w*u - 3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 0.29, -1\/12, -6, 1\/6, 3 in decreasing order.\nAnswer: 3, 0.29, 1\/6, -1\/12, -6, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/(207\/102) + 2\/6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36.06 + 36. What is the fourth smallest value in 0.02, -1\/10, -4, i?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + j**2 + j. Let v(c) = c**2 + 4*c. Let l be v(-4). Let w be z(l). Factor 2*i**4 + 2*i**3 + 0*i**3 + i**2 + w*i**2 - i**4.\nAnswer: i**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -57*f**3 + 3194*f**2 - 114*f + 13. Calculate h(56).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50178 + 479724 = 5507*s for s.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1488 and 1116?\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1245250.\nAnswer: 2, 5, 17, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1028700, -1028727, -1028768, -1028829, -1028916, -1029035?\n\"Answer: -c**3 - c**2 - 17*c - 1028681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * -0.113.\nAnswer: -1.921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 40 = -5*w. Suppose 0 = -4*r - 66 - 22. Let l = r - -38. Calculate the least common multiple of w and l.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -725574 divided by -2?\nAnswer: 362787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 38 = -3*q - 4*k, 2*k = 10. Let d(u) = -3*u + 8 + q*u - 4*u - u. Determine d(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 672 is divided by 232?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1328 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = -5*m + 161. Sort -4, -291, m, -5 in decreasing order.\nAnswer: m, -4, -5, -291","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122866595 to the power of 1\/3, to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 292 + -118 - 1*-1. Calculate the highest common divisor of c and 675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 45*l**3 + 12*l**2 + 26*l + 21. Let d(h) = 9*h**3 + 2*h**2 + 5*h + 4. Give -11*d(k) + 2*g(k).\nAnswer: -9*k**3 + 2*k**2 - 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6123502 and 9401.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6305 or -6304?\nAnswer: -6305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117098 is divided by 1606?\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 + -546?\nAnswer: -534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-23)\/207 + (-84115)\/(-9). What is d rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15409732 and 14807.\nAnswer: 871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 13 = 2*u, 3*f = -0*u + u + 24. Let h be -4*((-12)\/(-21) + 37\/(-28)). Suppose -f*z + 30310 = h*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p**2 + p + 1. Suppose 2*i + 2*a + 12 = 0, 2*i + 5*a = -33 + 6. Let k be f(i). What are the prime factors of k\/10 + 2112\/30?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53057?\nAnswer: 17, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6921 + 7062. Calculate the greatest common factor of c and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*h = 4*h - 644, 2*h = -q - 124. Let m = -133 - q. Let k be 6\/(-5) - (-6)\/15. Which is the biggest value? (a) m (b) 2\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 6*u - 1)*(3 - 3 - 2) + (2*u + u - 2*u)*(-1 + 2 - 3) - u + u - 2*u.\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17*(-110)\/15708*6\/10.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, f: 7, u: 1, s: 5}. Give prob of sequence fss.\nAnswer: 35\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 67.7 - 64.7. Which is the nearest to 3? (a) 4 (b) -4 (c) -1\/5 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 59671453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -511*q = -485*q - 90402. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(-34))\/((-1)\/4). Let o be 3 - 0 - (-5)\/1. Let r be (-4)\/o*-2 - 2. Which is smaller: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 3 - 66 = 0. Suppose 6*r = 7*r - f. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8 - -11) + (-8)\/(-2). Suppose -322 = -w*f - 23. Is f > 81\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - r + 20215 = 0, 6720 = -70*c + 71*c + 4*r. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 122973\/4 + -30964. Let p(j) = -2*j - 222. Let i be p(0). Let v = i - z. Which is the second biggest value? (a) v (b) -2\/25 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 13\/3*w**3 + 0*w + 0*w**5 + 0*w**4 + 6 + 0*w**2 + 4\/3*w**6. Find the third derivative of d(b) wrt b.\nAnswer: 480*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 11. Let u be p(-13). Solve q + 2 = -2*b, -u + 6 = 3*q + b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.49 + -0.21. Let w = 4.7 + a. Let h = 2.999969 - w. Round h to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7109 from -229957875.\nAnswer: -229964984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7 + 2*r + 34*r**4 - 11*r**4 + 1 wrt r?\nAnswer: 276*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -13*j**2 + 30*j - 45. Let p(c) = 28*c**2 - 60*c + 92. Let k(g) = 4*p(g) + 9*u(g). Let w be k(4). Solve -5*n + 3 = 8, -2*r + w*n - 5 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 460195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 - 16690525.\nAnswer: -16690518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 21468 divided by 6\nAnswer: 3578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 174\/540 - (-5)\/(-50).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 195 = -5*c + d, 4*d + 195 = -5*c. Let m = -20 - c. What is the remainder when (-3 + 0 - -38) + 2 is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13164595 divided by 2632919\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5432.8981879258 minus 3?\nAnswer: 5429.8981879258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 112*b - 4 + 1 - 2. Let z be r(5). Let k = z + -322. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1463214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60175 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - l + 1. Let t(d) = -7*d**3 + 2*d**2 + 6*d - 5. Let p = -9 + 4. Let x(b) = b**3 - 4*b**2 - 5*b - 1. Let r be x(5). Determine p*i(o) + r*t(o).\nAnswer: 2*o**3 - 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 11)*9\/((-81)\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108*(-12)\/504)\/((32\/280)\/4).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3 + -6*(sqrt(700) + -1)*5)*6 + 1)**2*2.\nAnswer: -5688000*sqrt(7) + 181752050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 - 3)*(-4 + 1 + 0)*(4*r - 4*r - 2*r) to q*r + z and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30757 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9042140.76 + -0.1574.\nAnswer: 9042140.6026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 9*s**2 - 13*s - 4. Determine r(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, l: 3, g: 1, p: 2, t: 4, m: 6}. Give prob of sequence pugu.\nAnswer: 1\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -1\/2*n**3 - 1\/60*n**5 - 2*n**2 + 0*n + 0 + 1\/8*n**4. Determine p(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*u = -73*u - 9 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 34\/(-72) - 9\/(-36). What is the fourth smallest value in w, 3\/7, -9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*m + 0*m + 2*m)*(-3 + 2 + 2) + 0 + 2*m + 0 - 33*m - 30 + 45 - 26)*(-m**3 + 3*m**3 - 4*m**3).\nAnswer: 64*m**4 + 22*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 16) to base 11\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8955*d = -8937*d - 108 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-68)\/34 - (5 + -149) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4088290, -8176581, -12264872?\nAnswer: -16353163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5297609*n**5 + 66*n**3 - 728187423*n**2 wrt n.\nAnswer: -317856540*n**2 + 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 6*v**2 + 3. Let a be h(6). Let w(q) = -q**3 - 2*q**2 + 8*q - 20. Let k be w(-5). Calculate the highest common divisor of k and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110100110101001 - 10?\nAnswer: 101110100110100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 18555 - 18557 - 2*d**2 + 7*d. Suppose -q - 15 = 4*f, -4*f - 23 - 22 = -5*q. Give g(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 1 - 5 = 3*i, 0 = 2*v - 4. Suppose -3*c + 2 = 3*f - 4, 0 = -5*f + i*c + 10. Factor -8\/3*r**3 + f*r**4 + 0*r + 0 + 2\/3*r**2.\nAnswer: 2*r**2*(r - 1)*(3*r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u**2 - 4*u + 146. Let j(i) = 3*i**2 + 3*i - 146. Give 2*d(c) + 3*j(c).\nAnswer: -c**2 + c - 146","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 8:19 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**3 + 11988868*l**2 + 131878032*l = 0. Calculate l.\nAnswer: -11, 0, 2997228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eeeeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 13*d**2 + 16*d + 42. Let j be g(9). Let n = j + -695. Is 43 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times -1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 82 and 125542.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -12*t**2 - 14*t**2 - 26*t**2 + 50*t**2. Let z(f) = -4*f - 7. Calculate z(k(s)).\nAnswer: 8*s**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1439 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*p + 5 - 3 - 7*p + 14 wrt p.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(175))\/sqrt(7))\/(2*sqrt(15)\/sqrt(3)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 6\/5*m**5 + 0*m**4 - 32 - 7\/3*m**3 + 0*m**2 + 0*m. Find the third derivative of l(u) wrt u.\nAnswer: 144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 3*z - 32 = -46, 0 = 3*g + z - 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m*o*v*z**3 - 4*m*o*z**3 - m*o - 28*m*v**2*z - 136*o*v**2*z**3 + o*v**2 + 2*o*z**3 + 319*v*z**3 wrt v.\nAnswer: -56*m*z - 272*o*z**3 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.04 + -0.872. Let y = 0.019 + 0.169. Let p = y - j. Round p to the nearest integer.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469 = -106*u + 131*u + 69 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43004685?\nAnswer: 3, 5, 1471, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*y - 0*y. Suppose y*n = 9*n - 8. Suppose 56 = 5*u + n*g, 4*u - u - 4*g - 40 = 0. What are 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 next term in 514, 513, 512, 511, 510, 509?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/3, 11, 2, -2\/17, -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + sqrt(1377) + 5)*-1)**2 - (sqrt(170)*2*-2)\/(sqrt(10) - -6*sqrt(10)*-1).\nAnswer: 4046*sqrt(17)\/5 + 12618","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 13*x**3 - 2*x**2 - x - 171. Let y(c) = -19*c**3 + 2*c**2 + c + 172. Determine -3*w(p) - 2*y(p).\nAnswer: -p**3 + 2*p**2 + p + 169","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2411 - -2408. Let m be ((-18)\/4)\/((-3)\/(-6)). Is m > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (64*x + 68*x - 7*x)*(1 - 3 + 3) to o*x + b and give o.\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 1\/12 (b) 4 (c) 142\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 4)*(-x - 2*x**2 + x + 494*x**2 + 12389 - 12389 + (-2 - 2*x + 2)*(-x - 4*x + 3*x)).\nAnswer: 496*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3237245 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 17 + 17)*(9*o**2 - 12*o**2 + 21*o**2) + 5*o**2 - 4*o**2 + 4*o**2.\nAnswer: 905*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -3. Let a be ((-30)\/(-4))\/((-6)\/f). Let k be ((-12)\/10)\/(6\/a). Solve -2*o = -4*v - 6, k*v - 5*o + 8 = -7 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -10*l + 6. Let j be h(3). Let q = -12 - j. What is the least common multiple of q and (0 - 3) + (-42)\/(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*v + 2*v**2 + v**4 - 4*v**3 - 18*v + 38*v to the form c + u*v**3 + a*v**2 + k*v**4 + q*v and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, v: 3, n: 1, s: 1}. Give prob of picking 1 v, 1 u, and 1 s.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a day in seconds?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o**2 - 7*o - 10. Let u be z(-10). Let w = u + 22139\/41. Let m = -36507 + 36506. Is w greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/5197406 and -155\/7944324?\nAnswer: 2089357212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 7*p**2 - 5*p - 1. Let v be a(6). Suppose 4*d - 5*n = -89, 5*n - 116 + 6 = v*d. What are the prime factors of (-520)\/(-28) + 12\/d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 487 = -2*v. Let i = 136 + v. Let o = -27 - i. Does 18 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three fifths of a litre in millilitres?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(300\/(-18))*(-250)\/450?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*a = -786648 + 3845834. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 + 82 = n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -17*i + 16. Let r be f(-2). Calculate the smallest common multiple of ((-20)\/r + (-6)\/(-5))*90 and 22.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**3 + 551*p**2 + 16242*p + 10584 = 0 for p.\nAnswer: -147, -36, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 8*m**2 - 4*m - 28. Let s be c(-8). Differentiate s*k**4 + 2*k**4 + 1157 - 1149 wrt k.\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -12*z**3 - 8*z**2 - 9*z - 3. Let u = -43 + 83. Suppose 2*d - u = -0*d. Calculate the remainder when l(-2) is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 242*w**3\/9 - 3520*w**2\/9 - 5504*w\/9 - 2048\/9.\nAnswer: 2*(w - 16)*(11*w + 8)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 57 = -5*y + 253, 1249*s - 1247*s = 4*y - 156 for y.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -28\/5 (b) -825 (c) -5 (d) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q + 6354*q**2 - 6333*q**2 - 25*q - 1 in the form h + j*q + o*q**2 and give o.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 4*j - 3*j + p + 15, 5*p = 60 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12590121?\nAnswer: 3, 113, 37139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 62*i + 181. Let a be o(-3). Let l = -48\/35 - -4\/7. Sort a, -4, l.\nAnswer: a, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 340299*p**6 - 49*p**3 - 139329313*p**2.\nAnswer: 40835880*p**3 - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80591657.\nAnswer: 109, 739373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3130, 3129, 3138, 3157, 3186, 3225?\nAnswer: 3274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1330 and 156681315.\nAnswer: 313362630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 309 divide 8985919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (25 - 0\/1))*(-1266)\/2110 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 737*o - 21054 - 13564 = 257*o + 4742 for o.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1011 is divided by 84.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 720517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - 11.9. Let a = -1476263 + 1476250.99991. Let q = j - a. Round q to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74273.3837 - 6.\nAnswer: -74279.3837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**3 - 1277*l - 1 + 1277*l.\nAnswer: 9*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016231 to four dps.\nAnswer: -0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 18*b + 520 = 0. Let u = b + -126. Suppose -1283 + 13912 = u*r - q, 0 = 2*q - 6. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61505 - 31.\nAnswer: -61536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**3\/3 - 34364692*q**2\/3 - 49205513798848*q - 98410981778112 = 0. What is q?\nAnswer: -8591172, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99314 divided by -1.\nAnswer: -99314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -1\/6*y**4 + 0*y - 1\/2*y**3 - 2*y**2 + 0. Let z be f(-2). Solve 4*n - z*c = 2 - 1, -4*c = 4*n + 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*i + 4*j + 12, 2*i - 9 = j. Let d(m) = -44*m**2 + 6*m + 10. Let f(l) = -40*l**2 + 5*l + 8. Let p(b) = 4*d(b) - 5*f(b). Is p(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-1) + (1 - 4). Let t(a) = a + 1 - 3 + a**2 + 0. Determine t(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -20\/47475409 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*u + 218*u + 1448 = 385 - 1487 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 7:48 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -17, -27, -51, -95, -165, -267?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 13 = -w. Let x(b) = 7*b**2 + 41*b - 14. Let j be (-94)\/14 - 214\/749. What is the remainder when x(j) is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 2. Suppose 12*x = j*x + 21. Suppose 716 = 5*w + 4*f, x*w = 2*w - 5*f + 139. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*d - 4 + 4)*(-d**2 + d**2 + 9*d**4).\nAnswer: -90*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1322812 litres?\nAnswer: 132.2812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cntt when four letters picked without replacement from {n: 2, c: 2, t: 5}?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 141 + -567\/4. Let s = -73\/3 + 25. What is the closest to 0 in 2\/19, s, f?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - -25. Let c be (6\/10)\/(7\/v). Factor -2*t**4 + 0*t**2 + 4\/3*t**c + 0 + 0*t.\nAnswer: -2*t**3*(3*t - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2206.713 months to centuries.\nAnswer: 1.8389275","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 5*n - 4. Let w be t(-4). Let m be (81\/6)\/((-6)\/(-16)). Suppose -m = -4*g - w. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 396*i - 396*i + 2*i**3 + 342*i**2 in the form g + o*i + l*i**3 + z*i**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b - 3795 + 5*b + b - 10*b.\nAnswer: 4*b - 3795","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 749 a factor of 235250414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.96304 + 0.03696. Which is smaller: -46 or n?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 51946, 103809, 155686, 207583, 259506, 311461?\n\"Answer: u**3 + u**2 + 51853*u + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 123002 - 10?\nAnswer: 122772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9774 and 378.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1520)\/(-480) + 2\/(-12). Suppose 0 = i - 4*c, 4*i - c - 3*c - 12 = 0. Factor 5 - 3*g**3 + g**5 + i*g**5 + 10*g**2 - 15*g - 15*g**4 + 13*g**u.\nAnswer: 5*(g - 1)**4*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2433 and 8921.\nAnswer: 26763","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3 (b) 0.1 (c) 39\/11 (d) 0.2 (e) -35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-3 - -2)) + -10 + 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 8, 3*v - 6*v = -3*r - 1788. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 20*n - 4*f = -61233, 4*n - 4*f - 81644 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 58*f**5*z + 3*f**5 + 206*f**2*z - f - 2*z + 15 wrt f?\nAnswer: 3480*f**2*z + 180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 96 + -727. Let w = -368 - n. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/11 - (-9)\/6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(-1)))**(4\/17)\/((c*c\/(c*c*c*c**(-2)*c)*c)\/c)**(-11) assuming c is positive.\nAnswer: c**(-4\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vr when two letters picked without replacement from vvvvvrfrrfrvvv?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173165 (base 12) to base 3.\nAnswer: 202021212012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + (-7 - (-3 + -8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4058 and 1982333?\nAnswer: 2029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.5, 7592, -13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2\/5 - 18838*h\/5 + 830229 = 0. What is h?\nAnswer: 223, 18615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 5*p**3\/3 + p**2\/2 - 3. Let q be u(1). Let s be (0 - q)\/((-6)\/(-4)). Put -2, s, 1 in descending order.\nAnswer: 1, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 8136*s - 797331. Determine h(98).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 502*h**2 - 9*h**2 + 349*h**2 + 717 + 91*h**2 + 6*h - 715 in the form v*h + n*h**2 + a and give n.\nAnswer: 933","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 308*q**2\/5 - 692*q\/5 + 384\/5 = 0.\nAnswer: 1, 96\/77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 + -3)\/(1\/2). Find the third derivative of 13*p**h - 3*p**3 - 3*p**2 - 2*p**2 - p**2 wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 plus -73.6090655?\nAnswer: -41.6090655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rllc when four letters picked without replacement from lclleelelercccl?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.8, -9.8, 5, 0.03, 0.1, 31?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/65 - -5\/13. Let p = -2 + 1.8. What is the closest to 1 in -4, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-2 + 0 + 3). Let a(q) = 404175*q**3 + 6*q**2 - 6*q + 1. Let c be a(b). Let g = c - 36567273. Round g to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2163810 and 192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 14490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4 + 11 = 0. Suppose 2*p - v*l = 5, -5*l + 16 = 3*p - l. Sort -1\/2, -2\/3, p in descending order.\nAnswer: p, -1\/2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19520.2055 * -4.\nAnswer: -78080.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a + 3*a**2 - 23*a**2 - 8 + 6 - 6*a**2.\nAnswer: -26*a**2 + 7*a - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 30. Solve z*a = -5*o + 2, 2*a - 3*o - o = 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, n: 4}. Give prob of sequence hn.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*x**3 - 56864*x**2 + 249293780*x - 312639795400 = 0. What is x?\nAnswer: 2146, 6035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -23?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.5? (a) -8 (b) 0.2 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 155047?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*u - a - 14, 21 = 5*u + 4*a. Solve o = 3*o - 3*x - 1, -2*x - 26 = u*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**3 - w**3 + 3*w**3)*(368 - 13*w - 368) - 4 - 2*w**4 + 4 + 2.\nAnswer: 11*w**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/(v\/(v**(-1)\/v*v)*v))\/v)*v)**(-15))**(-22) assuming v is positive.\nAnswer: v**1650","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18325, -18139, -17953?\nAnswer: -17767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -14, 28\/111, -3.\nAnswer: -14, -3, 28\/111, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 0.1, -44, 2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ihhhmhhiiddhiid. What is prob of sequence hi?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36513387 to the power of 1\/2, to the nearest integer?\nAnswer: 6043","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 11, 3 in ascending order.\nAnswer: -27, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 5*w - 6. Suppose -45 = 5*o - 10*o. Let g be (o\/(-4))\/(9\/24). What is u(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 9*x + 6 = 0, -4*j + 140 = 5*x + 157 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (12\/(-8)*-3)\/((-3)\/(-6)). Let k(d) = 2*d**2 - 19*d + 13. Let a be k(m). Solve -5*o - 13 = -4*p, -4*o + p = 5*p - a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -24, -105.\nAnswer: -105, -24, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5, 7, 33, 79, 151, 255, 397?\n\"Answer: h**3 + h**2 + 2*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28927, -28923, -28919, -28915, -28911, -28907?\nAnswer: -28903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99.1999021 + 99.2. Round u to 6 decimal places.\nAnswer: 0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrrr when four letters picked without replacement from {s: 6, r: 4, l: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 2\/65, -5\/3, 18, 13\/10?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l + 20 = 0. Let k(o) be the first derivative of 1\/4*o**4 - 1\/2*o**2 + 2*o - 4\/3*o**3 + 21. Determine k(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q - q + 21*q in the form b + t*q and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 3:20 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 - 60. Suppose s*k = -0*k. Solve -5*m = -m + 2*r - 6, k = 2*m + 4*r for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1113 + -23?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 281225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 0, -0.2, -16 in decreasing order.\nAnswer: 2\/7, 0, -0.2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*q + 11*q - 10*q + 8*q to the form x + b*q and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -509*g**4 + 224*g**3 - 2*g**2 + 3066759?\nAnswer: -2036*g**3 + 672*g**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -56*z - 292. Let b be q(21). Let o = 2945 + b. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1163 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 119 = 6. Suppose 5*d - r = -0*d. Let k = 0.1 + -0.5. What is the third biggest value in k, d, 0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h = -3. Is h greater than or equal to 1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7*k**3 + k**2 + 11*k + 26. Give f(-2).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 226, 225, 224, 223, 222?\n\"Answer: -y + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4949 and 9506?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 118*b - 113*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.21938kg to milligrams.\nAnswer: 68219380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*g - 116*g - 9778 + 32346 = 0. Is 13 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14 + 64?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**8\/84 - 2*w**7\/35 - w**6\/10 + 7*w**5\/15 + w**4 - 14*w**2. Factor b(m).\nAnswer: 4*m*(m - 3)*(m - 2)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*3*1\/(-3). Suppose z - 5*l = -z + 27, f*z - 27 = 3*l. Do z and 7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 7*c**2 + 2*c - 3. Let z be r(-6). Calculate the greatest common factor of z and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1271 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232.788 millennia to months.\nAnswer: 2793456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 36 - 136. Let d = 43 + v. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -11. Suppose 4*s - a = 3. Calculate the least common multiple of s and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/2)\/((-15)\/40). Suppose -898 = -d*j + 890. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 120\/11*a - 4*a**2 + 432\/11 + 2\/11*a**3.\nAnswer: 2*(a - 18)*(a - 6)*(a + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -3*q**2 - 4. Let l(n) be the third derivative of n**5\/6 + 13*n**3\/6 - n**2. What is -2*l(k) - 7*w(k)?\nAnswer: k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 8*g**2 - 8*g + 3. Let d be q(9). Suppose d + 8 = 5*i. What is the derivative of -7 - 3 + 43*p**4 - 56*p**i wrt p?\nAnswer: -52*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3316102 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 7*z + 4. Let a be h(7). Suppose -6*s = -d - 3*s + a, -5*d + 60 = 5*s. Suppose -3*y = 2*o + 3*o + d, -20 = y + 5*o. Solve y*q - q = 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*t**4\/9 + 292*t**3 - 81664*t**2\/9 + 49472*t\/3 + 512 = 0 for t.\nAnswer: -24, -4\/131, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3d + 2d?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -13. Suppose -2*p = 3*q + 5, f*q = 3*p + 2*q - 15. Solve 0 - 1\/4*y - 1\/4*y**p = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5\/7 + 402*a**4\/7 + 49797*a**3\/7 + 1888596*a**2\/7 + 22071204*a\/7.\nAnswer: a*(a + 27)**2*(a + 174)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*((-2)\/(-3) - 0). Let z(l) = -l**2 + 18*l - 35. Let v be z(16). Which is bigger: k or v?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/7 of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58061 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81506, -163006, -244502, -325994, -407482, -488966?\nAnswer: -570446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 891073872 to the power of 1\/2, to the nearest integer?\nAnswer: 29851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-2 - 1) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 928054 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 20. Give t(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 73707935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 87695, 701499, 2367545, 5611955, 10960851, 18940355?\n\"Answer: 87687*y**3 - y**2 - 2*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*f**2 + f**2 - 77*f**2.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*j**6 - 1032*j**5 + 16*j**2 - 2959 wrt j?\nAnswer: 1080*j**3 - 61920*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 15*o + 40. Determine g(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43576*d**4 - 10*d**2 + 7017*d.\nAnswer: -1045824*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.69826 - 0.47984. Round b to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -11 and 223 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 7)\/((-32)\/144)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2106)*-2*5 - ((sqrt(2106) - -1*sqrt(2106))*-5 - sqrt(2106) - sqrt(2106)))\/((-1*sqrt(6)*-1)\/(sqrt(9)\/sqrt(3)*-4)).\nAnswer: -72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9386 - 9375. Suppose -4 - 3 = -x. Suppose -w - x = -v. Calculate the remainder when 4 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -455 - -818. What is f rounded to the nearest ten?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -9. Suppose -3*z = -3*g - 12, -y*z + 14 = -2*g - 2*g. What is the third derivative of -c**5 - 3*c**2 + 4*c**2 + z*c**5 wrt c?\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 7348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2009, 8058, 18143, 32264, 50421, 72614?\nAnswer: 98843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*c = -1801 + 711 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(480) + sqrt(480)*2))\/(-3*2*sqrt(1000)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -59\/42290?\nAnswer: -59\/42290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 8:59 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**6*t - 976*b**4*t - 3*b**2 - 3*t - 53 wrt b.\nAnswer: 120*b**3*t - 23424*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 713?\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 61 = -13*s - 163 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(4))\/sqrt(9) - (-5 + (sqrt(2) - (sqrt(6)\/sqrt(3))**2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/8 and (-2)\/12*(-297)\/(-69).\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -10*r + 2. Let p(j) = -503598*j. Give h(p(g)).\nAnswer: 5035980*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/6*(-1 + -7). Let m = 12 + q. Let y(w) = -w - w + m*w - w - w**2 - 12. Determine y(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 657 - 0.31.\nAnswer: 656.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11, 2, -2, -453 in descending order.\nAnswer: 2, -2, -4, -11, -453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 648*r**3 - 70503624*r**2 - 7833742*r - 217604.\nAnswer: 2*(r - 108802)*(18*r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/15)\/((-1)\/(-93))*3. Let f = g + 164. What are the prime factors of f?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 1223*a - 152. Let c(t) = -611*t + 85. What is 7*c(x) + 4*l(x)?\nAnswer: 615*x - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 503238 or 503383?\nAnswer: 503383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -34. Suppose 4*r + g + 9 = 0. Calculate the remainder when (-1 - 8*3)*r\/5 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h*j*o + 38347*h*j + 312371*h*o**2 - h + 12*j - 5 with respect to o.\nAnswer: 3*h*j + 624742*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 73339066 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5*x - 485 = 0, -2*d + 6*x = x - 194. Suppose 0 = 4*w - 3*n - 482 + 79, -w = -2*n - d. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 684 and 7011.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 24 - 43 + 13*q + 12 + 7. Let y(v) = 223*v**2. Calculate t(y(i)).\nAnswer: 2899*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23 + -46abf6?\nAnswer: -46abd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 15 = -16*c. Sort c, 2, -3 in descending order.\nAnswer: c, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**4\/4 + 11*a**3\/3 + a**2\/2 + 15*a + 3. What is the tens digit of q(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in six fifths of a centimeter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03201 - -201.83799. What is r rounded to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 28599, 104788, 231779, 409578, 638191, 917624, 1247883, 1628974?\n\"Answer: i**3 + 25395*i**2 - 3*i + 3206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 3*b + 5. Let a be i(5). Let o = -3743\/12 - -1249\/4. Sort -0.5, a, o.\nAnswer: a, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-12) + (-9919)\/68. Let m = 145 + v. Let t(z) = -z**3 + 4*z**2 - z + 3. Let q be t(4). Which is greater: q or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 6*x + 8. Let m be t(-4). Let r(s) be the first derivative of m*s**2 + 2 - s**4 + s**2 - s**4 - 3. Find the second derivative of r(k) wrt k.\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -2*c**7\/525 + c**6\/300 - 9*c**2\/2 - 201*c. Let z(r) be the first derivative of j(r). Suppose z(t) = 0. Calculate t.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mt when two letters picked without replacement from futmnvfvvmvn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -48*f**4\/5 - 106968*f**3\/5 - 59514267*f**2\/5 + 17890398*f - 6713415 = 0.\nAnswer: -1115, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*n - 18*n + 36. What is the remainder when 47 is divided by n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 14, -12, -48, -94, -150?\nAnswer: -216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.9 + -118.1. Let s = -105.8 - w. Let i = -13 + s. What is the third biggest value in i, 2, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -19 - 5. Let n = y - -5. Is -1 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1197292897 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2) + 0) - sqrt(2) - sqrt(2) - sqrt(22)\/(-2*sqrt(11)).\nAnswer: -15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((15\/3)\/(-20))\/((-1125)\/40). Suppose 17*k - 18*k + 1 = 4*t, 3*k = -5*t + 3. Sort o, k, -5\/4, -4.\nAnswer: -4, -5\/4, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2 + 6*u. Let r(g) = g**2 + 9*g + 12. Let l be r(-8). Suppose -3*z - 8 = -7*z - l*j, -2*z = j - 6. Suppose 8 = -6*v + z*v. Determine a(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192003*u - 96868*u - 95139*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22217 = -726*p - 199*p - 14783 for p.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6060 + 9578. Suppose 2*a - 3521 = -5*w, -20*w + 25*w + a = k. What are the prime factors of w?\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 1, 14, 5, -13 in decreasing order.\nAnswer: 14, 5, 1, -4, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**2\/11 + 208222*l\/11 + 6456804\/11 = 0.\nAnswer: -31, 104142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*l + 78 = -80*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 - 14*z - 2. Calculate r(-10).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 489.63 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 389053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33876360.\nAnswer: 2, 3, 5, 7, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + 16\/(256\/(-168)))*-22.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 170 = 5*f, -5*f - 3*u + 340 = 130. Suppose -6*i - 74 = -68. Sort 2, i, f, 0 in ascending order.\nAnswer: i, 0, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10765895 and 1027110.\nAnswer: 2345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10734.23 less than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -5 + -3 + 2*(sqrt(80) + -5 + -1 + sqrt(80))*-1)*-5)**2.\nAnswer: -4800*sqrt(5) + 32900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14505 is divided by 48?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -9. Calculate the remainder when 54 is divided by u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1993, -3\/5, -1425 in decreasing order.\nAnswer: -3\/5, -1425, -1993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 271 divide 199572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*c**3 - 244*c**3 - 128*c**3 + 717*c**3.\nAnswer: 228*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 23*g. Let y(h) = -22*h**2 - 7139. Give w(y(a)).\nAnswer: -506*a**2 - 164197","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -626 - -289. Let k = z - -592. Calculate the highest common factor of k and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 5*l**5\/3 - 2423*l**4\/3 - 12025*l**3 + 71783*l**2\/3 + 782830*l\/3 + 99800 = 0?\nAnswer: -15, -4, -2\/5, 5, 499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 29532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q + 2*q**3)*(-4*q + 4*q + q) - 4*q**4 + 14*q**3 - 14*q**3.\nAnswer: -2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*k - 4*k. Suppose k*u + 5 = 8*u. Let p be (14\/(-35))\/(u\/5). Put p, -3, 1 in increasing order.\nAnswer: -3, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ff8 - b?\nAnswer: fed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*j - 6. Let i = 10 - j. List the prime factors of i\/6 - 141\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - 388221 + 388221 - 5*h**3.\nAnswer: -5*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + p + 4*k = -101, 4*p + k + 139 = 0. Suppose -3*n = 5*v + 258, 2*v + 147 = -5*n + 59. Let y = p - v. List the prime factors of y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - -575?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2556, 5128, 7710, 10308, 12928?\n\"Answer: t**3 - t**2 + 2568*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2578*g**2*n*y + 59*g*n + g*y - 21*y wrt g.\nAnswer: 5156*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/3 + 2 + -1 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1888 + 1887.99991736. What is a rounded to six decimal places?\nAnswer: -0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 487.536 - 488. What is m rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -63\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1041101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 388.29 + -347.4. Let k = 209 + -250. Let s = g + k. What is the second smallest value in -0.5, -5, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -5. Let p = 2\/1243 - -4938\/21131. What is the closest to -1\/2 in t, p, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 438954577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 9*b = 524. Let f = b - -131. Solve -4*h + h - 6 = f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 1 + 2)*(-1 + 3 - 3) + 3 - 2 - 2)*(-i**2 + 2*i + 2*i**2 - 3*i).\nAnswer: -2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 13447178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 2*u**2 + 10*u - 142. Let c(n) = -5*n**3 - 5*n**2 - 39*n + 567. Let a(y) = 2*c(y) + 9*w(y). Determine o so that a(o) = 0.\nAnswer: -4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1011 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/5)*q**(-2\/3)*q*q**(-5)*q*q**(-6) assuming q is positive.\nAnswer: q**(-139\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2941 = 112*b - 6468 - 2799 for b.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(-2 - 0)*10. Let p = -16 - -46. What is the highest common divisor of m and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1920 and 68280?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1074 + -1075. Let l(b) be the third derivative of 5*b**4\/24 + b**3\/6 + 3*b**2. Calculate l(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 2:17 PM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mkekkemkkmkmkmm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2088147 and 167451639?\nAnswer: 169539786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/198787 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5508 and 12689871?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24413*p - 48825*p + 114418*p**2 + 24412*p.\nAnswer: 114418*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -10.5 (b) 30 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 4*w. Let f(p) = 4*p**2 - 15*p. Calculate 2*f(v) - 9*k(v).\nAnswer: -v**2 + 6*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*o**3 + 2*o**2 - o**2 + 51*o**3 - o - 2*o + 4*o.\nAnswer: 122*o**3 + o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19929, -42202, -64475, -86748, -109021, -131294?\nAnswer: -153567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -j + q + 52, 0 = -j - 4*q + 12. Let b be 21 - (j\/18 - (-36)\/162). Solve 5*g - 44 = -b for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 7*x - 4. Let h be u(-8). Suppose -s + 3*s - 6 = h*t, -5 = -s. Suppose -t = -8*y + 7*y. Calculate the smallest common multiple of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - -799475.\nAnswer: 799474.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1841121 and 372?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5555 + 5557. Let m(g) be the second derivative of -2\/3*g**3 + 22*g + g**l + 0. Differentiate m(s) with respect to s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (5 + 8\/(-4)). Sort 0.2, -0.062, a.\nAnswer: a, -0.062, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10402617 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.2, -65, -7\/12?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1277 - -1377.7. Let o = d + -92. Is o smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3299*b + 16496. Give v(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 12:12 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9613, -19043, -28473, -37903, -47333, -56763?\n\"Answer: -9430*g - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 41*y - 11. Let z(b) = 14*b - 4. Determine 3*q(j) - 8*z(j).\nAnswer: 11*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14 + (-356)\/12 + 19. Factor -4\/3 - i*m**3 - 2\/3*m + 16\/3*m**2.\nAnswer: -2*(m - 1)**2*(5*m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, m: 5, k: 1, q: 3, e: 1}. What is prob of sequence qqk?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**3*k**3 - 25499*f**3*k**2 - 14*f**3 - 15*f**2*k - 136053*k**3 wrt f.\nAnswer: 6*k**3 - 152994*k**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -176 - -180. Solve 2*l + 6*m - w*m = 2, 0 = 2*l - 4*m - 14 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, e: 6, o: 8}. What is prob of sequence ggge?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 239420 is divided by 412.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 452255*q**3*z**3 - 9*q**2*z**3 + 3*q**2 + 1494*q*z**3 wrt q?\nAnswer: 2713530*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**2 - 31180*f - 3293844 = 0 for f.\nAnswer: -31074, -106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435*h - 1565*h + 59473 = 26506 - 34833 for h.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k + 12 = 34*k. What is the remainder when 215 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 70*(-24)\/(-1200)*270. Suppose 5*t = 724 + 86. Calculate the highest common factor of t and d.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38249*i**2 + 38094*i**2 - 76339*i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1008))**2 + ((sqrt(105)\/sqrt(5))\/sqrt(3) - sqrt(7))**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/50 of a day?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -y + 8215, -4*v + 23489 = 2*y + 7067. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51\/(-4)*1 - 26\/12*(-432)\/(-3744)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 635*q + 568*q - 67*q to w + h*q and give h.\nAnswer: 1136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28611 - 9541. List the prime factors of a.\nAnswer: 2, 5, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 - 2*u**2 - 3*u**2 + (0 + 0 + 1)*(3*u**2 - 3*u**2 + 2*u**2))*(2*u + u - 2*u).\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3520)*4)\/(sqrt(99) + sqrt(99) + 4*sqrt(99)) + 4.\nAnswer: 16*sqrt(5)\/9 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*q - 593 = -620 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -9*u. Let i be y(8). Let k = -51 - i. Is 14 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44707\/37 - -1205. Are -3 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 1 - 3*k**2 - 5*k**3 - 3 + 4*k**3 - 3*k. Let w be j(-2). Suppose w = 3*l + 2*l - 35. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10446*n**2 + 14*n - n + 34*n**3 + 3*n**5 + 10446*n**2 - 5 wrt n?\nAnswer: 60*n**3 + 204*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 6:58 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 111\/6*(-2 + 4)*-2. Let i = -26 + 4. Let w = i - c. Does 19 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*h - 7090608 = -326*h. Is h a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1476.93311 - -1474.86311474. Let v = a + 2.07. What is v rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/6)\/(12\/(-1278)). Let d = -33 + g. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283455.\nAnswer: 3, 5, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-232)\/(-87)*12\/(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(90\/78) - 4.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vztz when four letters picked without replacement from ztttvzztv?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -2*x + 47. Let g = -74 + x. Calculate the common denominator of g\/110*(-2755)\/76 and 99\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 543 + -558. Sort n, -1\/6, -0.5, -1 in descending order.\nAnswer: -1\/6, -0.5, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y - y - 2*y + (0 + 1 - 2)*(4 + 2*y - 4) - y - 6 + 6 - 12*y + 48*y + 2*y + (-1 + 0 + 2)*(-4*y + 4*y + y) + 2*y + 0*y + 0*y.\nAnswer: 39*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7885358 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a**2 + 9*a - 17. Let x(v) = v + 1. Calculate h(s) - 6*x(s).\nAnswer: 2*s**2 + 3*s - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6752 = 49*x - 45*x. Suppose -7*i + x = 162. List the prime factors of i.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*u + 220 = 0. Suppose -u = -2*z - 2. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 11 - 4 + 3 - 15 - 588*q.\nAnswer: -588*q - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 321004 or 321006?\nAnswer: 321006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/4 + (-27)\/(-90). Let p = 2\/15 - x. Let n = 0 - -0.3. What is the second biggest value in p, n, -3\/7?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -22*k + 2900. Let x be v(129). Solve -10 = x*y - 72 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6864655529.302 and -1.\nAnswer: -6864655530.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.32*-0.0360489.\nAnswer: -0.011535648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6225088 divided by -2.\nAnswer: 3112544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 256, 0, 7 in increasing order.\nAnswer: 0, 7, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 (base 15) in base 8?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -613 smaller than -613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3266 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x - 1. Let c(a) = a**2 + 16*a - 8. Let q be c(-17). Suppose -60 = 4*s - 140. Let v(i) = 7*i + i + 0 - s*i - 4. Determine q*l(g) - 2*v(g).\nAnswer: -3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggggggggwgppwgwg. Give prob of sequence gpgp.\nAnswer: 11\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -871*t - 77796 = 908*t + 188197 - 31165 for t.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1930, 1924, 1906, 1870, 1810?\nAnswer: 1720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 580*u**3 + u**2. Let k be -3 + (28\/4)\/1. Suppose -5*s = -k*s - 1. Is j(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2001023 (base 4) in base 14?\nAnswer: -3027","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309349 = 5*z - 46*y + 42*y, 3*z - 185577 = -3*y. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -7*g + 18. Let x(f) = -8*f + 18. Let w(z) = -5*m(z) + 4*x(z). Let n be w(8). Suppose -b - n = -11. Solve 5 = b*t - 0*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1306 is divided by 191.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*s**2 - 16*s**2 + 30*s**2.\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*u - 43*u + 97*u.\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -316747, -2, -1 in descending order.\nAnswer: 7, -1, -2, -316747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*u**2 - 1645067*u - 36111262?\nAnswer: 8*u - 1645067","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70485?\nAnswer: 3, 5, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x - 5. Let p be a(7). Let j(q) = 4*q + q**3 + 6*q**p - 4*q**3 - 3*q**2 + 5 + 2*q**3. Calculate j(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 389, 412, 437, 464, 493, 524?\nAnswer: 557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-8 + (-364)\/(-42))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 = 3*m + p, -2*p + 48 = -2*m + 230. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5281 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-260))\/(2*(-2)\/8)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(5*(-5 + (2*(sqrt(65) + -1*sqrt(65)) - sqrt(65))\/sqrt(5) + -4) + 2))**2.\nAnswer: 10750*sqrt(13) + 54350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2 (b) 5\/44 (c) 4 (d) -2\/11 (e) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60*p**3 - 74*p**2 + 35752*p wrt p?\nAnswer: -360*p - 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 308\/847 + (-6574699992)\/(-22). What is r rounded to the nearest 1000000?\nAnswer: 299000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 581 - 972. Let y = q - -463. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2083 - -2135. Solve -m - 25*m = c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**6\/120 + r**5\/30 - r**4\/8 + r**3\/2 - 15*r**2. Suppose -4*n - 5*q + 28 = 0, q = -0*n + 2*n. What is a(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14a (base 11) to base 13.\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004040828284 rounded to seven decimal places?\nAnswer: 0.0040408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*t**2 - 2*t**2 + 3*t**2)*(0*t - t - t) + 267*t**2 - 267*t**2 + 19*t**3)*(-3 + 3 + 2*t) in the form d*t**4 + a + i*t**2 + p*t**3 + q*t and give d.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 + 12*70889\/15744?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156 - 146 + 4*w - 1379.\nAnswer: 4*w - 1369","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 12. Let s be -2*21\/(-6) - b. Let w be (-6)\/9*s\/(-4). Sort w, -2\/7, -1\/5 in decreasing order.\nAnswer: w, -1\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17681?\nAnswer: 17681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/49 and 2 + (1 - (-438)\/(-231)) + -1?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6887.705 + -6907. Let c = t - -19.8. What is c rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 3*l - 6. Let m(c) be the second derivative of c**5\/20 - c**4\/3 - c**3 + 5*c**2\/2 + 3*c. Let t be m(5). Which is greater: t or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 120, 3, 1, -4 in descending order.\nAnswer: 120, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/7500 and -125\/924?\nAnswer: 577500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (244*b - 15*b + 357*b)*(0*b - 2*b + b + 2 - 3*b - b + 2*b + (1 - 4 + 2)*(-3*b + b + 3*b)) in the form j*b**2 + m + u*b and give u.\nAnswer: 1172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 3, -1\/5, -0.3, -6 in descending order.\nAnswer: 3, 2\/9, -1\/5, -0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7218253 by -5.\nAnswer: 7218253\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1553 - 160?\nAnswer: -2043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by ((-3)\/(-7))\/((10 + -2)\/392).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3153*b**4 + 3286 wrt b.\nAnswer: -12612*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 91 - 79. Solve 2*d + 2*d - n = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 6. Let j(i) be the third derivative of -i**5\/60 + 5*i**4\/24 - i**3\/2 + 460*i**2. Calculate j(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 683841 divided by 209.\nAnswer: 683841\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -254\/9 + 28. Let r = -0.49 - 2.21. Let w = r - -2.4. Which is the second biggest value? (a) o (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-14))\/(-9)*-21\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 268 + -240. What is the remainder when c is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 35*c + 222. Let k be x(-6). Solve 20*d + k*d - 64 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050 a factor of 3726450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -31 - 13*h**2 + 52\/3*h**3 + 0*h. What is the second derivative of j(i) wrt i?\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -233, -555, -1057, -1829, -2961?\n\"Answer: -15*j**3 - 217*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**3 - 5*l**2 - 2*l + 5. What is the remainder when 58 is divided by m(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 32788, 32468, 32152, 31840, 31532, 31228, 30928?\n\"Answer: 2*h**2 - 326*h + 33112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -94620.004.\nAnswer: 283860.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.2 + -3.7. What is the smallest value in -1\/8, -4\/9, x, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/6*10*(-20)\/(-250).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -16, 32, 112, 224, 368, 544, 752?\n\"Answer: 16*z**2 - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63553 is divided by 63529.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5236 rounded to two decimal places?\nAnswer: 2.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.94 + 33.06. Let l = -37.00953 + x. Round l to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**6\/120 + 2*w**5\/15 - w**4\/24 - 5*w**3\/6 + 518*w**2. Give t(-7).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 + 1.04. Let q = -184\/57 + 10\/3. Which is the nearest to l? (a) -3 (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -309463068 less than -309463067?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32, -67, -144, -269, -448, -687, -992, -1369?\n\"Answer: -o**3 - 15*o**2 + 17*o - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 3*a + 13 = 0, 5*k - 5*a = -0*a + 25. Suppose -k*g + g = -6. What is the highest common factor of 42 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/3)\/q)\/(q\/(q**(-3\/4)*q))*(q\/(q*q**(-2\/3)))\/q**5)\/(q**(1\/2)\/(q**(4\/9)*q*q*q\/(q\/(q*q**(-5)*q))*q)) assuming q is positive.\nAnswer: q**(-209\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.17 or -25\/18?\nAnswer: -25\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, g: 5, e: 2}. What is prob of sequence gehg?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/23 (b) -8 (c) -1\/2 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*n + 4696 = -7300, 0 = -4*d + 4*n + 12032. Suppose d = 3*b + b. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 144\/(-10) + (-8)\/28. Let q = i - -100\/7. What is the second biggest value in 2, q, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7897*f**3 - 2*f**2 + 7584*f**3 + 0*f**2 + 8*f**2.\nAnswer: -313*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(24) + sqrt(24)*2 + sqrt(24)))\/(sqrt(1536)\/sqrt(3)) + (1*sqrt(84)*-1)\/sqrt(7)*1.\nAnswer: -7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6027 is divided by 1002.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -110 + 612?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of 2 - 1\/3*b**3 + 0*b**2 + 0*b - b**4. What is the third derivative of i(l) wrt l?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0249453927 rounded to three dps?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 332754.7 minutes in microseconds?\nAnswer: 19965282000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 0)*(1 + 3 - 2) + 2 + 3 + 1)*(0 + 0 + 2*q)*(-3 + 2 + 0)*(-3 + 0 + 2).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 80*l**3 - 80*l**2. Let a(q) = 9*q**3 - 9*q**2. Let x(h) = -35*a(h) + 4*m(h). Factor x(o).\nAnswer: 5*o**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -993 - -16883\/17. What is the second biggest value in o, -20, 1\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(2\/5))**(-1\/2)*(d**(-2\/3))**(-38))**(15\/8))**(-49) assuming d is positive.\nAnswer: d**(-36211\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/((-2)\/(-2) - -1). Let w(u) = -r + 3 + 5*u**2 + 9*u**2. Is w(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 6. Let s(c) = c**2 - 5*c - 15. Let d be s(i). Which is smaller: -2\/49 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*a + 105*a - 18 + 4 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 + -11. Solve j = p + p - 2*o + 14, p - 13 = -4*o for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - z - 3)*((4 - 1 - 4)*(z + 2*z - 2*z) + 4*z + z - z + 9*z - 2*z - 40*z).\nAnswer: 30*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4375 = 5*j - 7*n, -2*j + 1732 = 4*n. Suppose -8*p = -312 - j. Is 17 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48 + 21*m**3 - 5*m + 13*m**3 + 23*m**3 - 55*m**3 wrt m.\nAnswer: 6*m**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (12\/(-30) - 784\/(-10)). What is the greatest common divisor of b and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180 and 13410?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (2*sqrt(448) - sqrt(448)))*-1 + -2)**2 + 2.\nAnswer: 80*sqrt(7) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22988\/5 - 229829\/50. Let c = -1787\/1620 - -1\/324. What is the common denominator of c and r?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30374?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 122, -1\/5, -0.493, -7, 0.2 in ascending order.\nAnswer: -7, -0.493, -1\/5, 0.2, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 241863097?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1076107\/87490 - 2\/8749. Let n = -6750 + 81131\/12. Calculate the common denominator of a and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2899*r + 1450*r + 32 = -1453*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzzdzifzzyzfydzy. What is prob of picking 1 d and 1 z?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*l = 37*l - 7728. List the prime factors of l.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -108201214*c**3*h + 688346599*c**3 wrt h.\nAnswer: -108201214*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 39, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 33\/11236 or 0?\nAnswer: 33\/11236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 182469570?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - (-1 + 1) - (-5 - -620). Let y(v) = -18*v**3 - 5*v**2 - 5*v + 1. Let k be y(-4). Let w = k + o. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**6\/12 - 2*r**5\/5 + 5*r**4\/8 + 10*r**3\/3 - r**2 - 8*r - 1832. Let a(u) = 0. Calculate u.\nAnswer: -4, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*l = -85*l + 78 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -2081 (c) 10 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -29*x - 49. Give l(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -152595, -305231, -457867, -610503, -763139, -915775?\n\"Answer: -152636*p + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 265382057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/10*63\/189?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1426077 divided by -1?\nAnswer: -1426077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -92 - -177. Suppose 15 = -5*p + s. Let v = 12 + 15. What is the remainder when v is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**4 + x**4 + x**4 + (1 - 1 + 2*x)*(4*x**3 - x**3 - 2*x**3).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 853a + 2334?\nAnswer: a873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 7*p**2 - 2. Let m be t(-7). Let b = -27 + 28. What is the closest to 2\/7 in m, 4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 9 = -11. Suppose 2*r + 5*k = 23, 2*r + 2*k - 8 = 6. Suppose 3*s - 5*n = 42, 3*n = -5*s + r*s. What is the lowest common multiple of s and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2126*o - 1038*o**2 - 1055*o - 1063*o + 3)*(-o + 2*o**2 + o) to z*o + c*o**4 + r*o**2 + a + j*o**3 and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-134380.3.\nAnswer: 26876.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9744898557\/4070 + 2394324. What is the common denominator of 97\/14 and d?\nAnswer: 28490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q - 9. Give s(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 112*q + 4*q + 277*q + 30*q - 46*q to the form x + c*q and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2, -7\/13, 16, 72, 1 in increasing order.\nAnswer: -7\/13, -0.3, 1, 2, 16, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 8:29 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*x**2\/5 + 48442*x\/15 - 156\/5 = 0. What is x?\nAnswer: 2\/207, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -33310 (base 4) in base 11?\nAnswer: -840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1717.9 - 1644. What is a rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2736) + 2 + sqrt(2736))*-1 + 5*(sqrt(2736) + (-2*sqrt(2736))**2)*2 + 3.\nAnswer: 216*sqrt(19) + 109451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 >= 388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3825 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven halves of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w. Is 1*(0 + w) - -49 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -5. Find the first derivative of 2*i**3 + 2*i**3 - 2*i**3 + 0*i**j - 3 wrt i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 757 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (592\/(-185) - 8\/10) + 182\/35\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/3 - 2*x + 3.\nAnswer: (x - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 6 = 30. What is the lowest common multiple of (-39)\/(-15) + 4\/10 and (a - (-52)\/8) + 22\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-5) + (-10)\/50?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -291 + -0.323380592105.\nAnswer: -291.323380592105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-66))\/(62\/(-744)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -52 + 80. What is the highest common divisor of 112 and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + m = -160. Suppose 3*z - 5*d - 27 = 0, -5*d - 3 = z - m. What is the units digit of z\/(-63) + (-22)\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 528144443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/840 and -71\/39864360.\nAnswer: 279050520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01011 - 34139.\nAnswer: -34139.01011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1737.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 411 <= -0.014?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 - 4*o**2 + 5*o**2 - 3*o**2.\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 4*j = -4*i + 8, 5*i = -2*j + 8. Solve -4*g + 6 = -2*r, -j*r = -4*g + 2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1324.9 and 2457664?\nAnswer: 2456339.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -q - 5*w + 3*w, 4*q - 20 = -3*w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2556 and 7668.\nAnswer: 7668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**2. Let s(m) = -86*m - 1. Give s(z(f)).\nAnswer: 258*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5148\/(-868))\/(-11) - 20\/35.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2202745509?\nAnswer: 3, 173, 191, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(121) - sqrt(121)) + sqrt(121))*5)\/(-4*(sqrt(539) + sqrt(11)))*6*2.\nAnswer: -15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -510 = -0*w - 15*w. Let s be 4\/(-8)*5*-1*2. Is (w\/(-10) + -7)\/((-1)\/s) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*v**2*x + 7890504*v**2 - 14*v*x + 70244625*x wrt v?\nAnswer: 4*v*x + 15781008*v - 14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 11:06 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*((-76)\/(-8) - 3). Let t = i + -9. Suppose t*a + n - 78 = 0, a + 15 = n + 37. Solve -a = -4*f, -2*d + 42 = 5*f + 11 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 7*j + 19. Let k be d(-5). Let c = -3 - k. What is the remainder when 74\/(0 + 2 + 0) is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (95\/(-15) - 3)*-6. Suppose 5*p = -2*p + l. Solve p*u = -5*h + 4*u - 11, -3*u - 11 = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vii when three letters picked without replacement from ivwhhi?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**22\/m**(-11\/2)*m**(2\/17)*m*m\/(m\/((m\/m**(4\/7))\/m))*m assuming m is positive.\nAnswer: m**(6913\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 7) to base 9\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2972926 to the nearest integer?\nAnswer: 1724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1482 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 578423334 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.800214 milligrams to micrograms.\nAnswer: 800.214","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 9832.\nAnswer: 127816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1258781 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06609 and 0.08.\nAnswer: -0.0052872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19.1 - 15. Let i = 0.2 + -4.2. Let b = i + n. Which is smaller: b or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 57519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 5:46 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 576287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119 = -m + 4*m - p, 0 = -5*p + 5. Let y be 46\/m + (4\/5)\/(-2). Factor -y*t + 3\/4*t**2 + 0.\nAnswer: 3*t*(t - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*g + 3347 + 38113 + 69312. Calculate the greatest common divisor of 51 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 0 + 4 + 10*i - 4*i - 2*i**2. Let b(n) = -5*n**2 + 13*n + 9. Let v(q) = q + 2. Let p be v(7). Determine p*d(l) - 4*b(l).\nAnswer: 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 405389 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvlv when four letters picked without replacement from ivklkvkviiviiivvvv.\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/99 and -47\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4325059 - 9*c + 4325060 - 17300252 + 4325065 + 4325068.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.011 (b) -4 (c) -0.77 (d) 0.5 (e) -1 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10971 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - 3 - -3 - 3. Suppose i = -3*h - 52 + 43. Let u(y) = -38*y + 19. Is 19 a factor of u(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -5*a + 90, 2*a + b - 1583 + 1549 = 0 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (1 + 3 + (-3 - (-19 + 15)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-48)\/(-6) + 307935\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000301 (base 4) to base 13\nAnswer: 1b6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/(-15))\/((-198)\/1650*13\/(-13)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 634185 divided by 44.\nAnswer: 634185\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1894827 and -765.6.\nAnswer: 1894061.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 522 is divided by 34.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(4) + (sqrt(4) - (sqrt(40)*-2)\/sqrt(10))).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 290060339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -4. Let o(l) = 2*l - 2*l**2 + w*l**2 - 7*l + 10*l**2. Let n(y) = -7*y**2 + 4*y. Give -6*n(x) - 5*o(x).\nAnswer: 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -336.759997 + 336.74. Let g = 3 - 3.02. Let y = g - f. Round y to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4546\/3 - -1517. What is the fourth smallest value in -1, 4, -3, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 + 0.04. Let x = 3.01 - h. What is the closest to 0.1 in 0.4, x, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 minutes after 10:45 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**2 + 9*u + 2. Let y(p) = p**2 - 2. Give b(c) + 3*y(c).\nAnswer: -c**2 + 9*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 87.\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003088 to five dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1256234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 9:45 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, c: 2, m: 1, u: 1, w: 4, h: 1}. Give prob of picking 1 y, 1 c, and 2 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1060 and 86708.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 85*z**2 - 106*z - 327. Give r(-84).\nAnswer: 1521","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.344 times 0.1\nAnswer: -0.0344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(12))**2 - sqrt(3)*2*6)*-6 + -1*sqrt(6)\/((1*sqrt(10))\/sqrt(5)).\nAnswer: -288 + 71*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10202 (base 3) to base 11\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -5*v**2 + 104*v + 23. Give k(22).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 440 = 5*q, -3*q + 3*x = -0*q + 240. Let o = -43 - q. What are the prime factors of o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 25, 2\/33 in decreasing order.\nAnswer: 25, 2\/33, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/60 + 24\/(-495). What is the nearest to -0.3 in -5, d, -48?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -121*m + 418. Let b be s(-12). What is the greatest common divisor of 44 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, b: 1, t: 1, w: 2, p: 4}. What is prob of picking 1 b and 1 p?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 25760.713 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 8:41 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -4312000 to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 2*l - 32, 2*p - 35 = -p - 4*l. Let d be (-6)\/(-21) + p\/(-7). Let i(t) = t + 20. Let g be i(-16). Sort 3, g, d.\nAnswer: d, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25 times -0.03?\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/5, -1\/11, -5, 38\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/4 - 5*g**3\/2 + 9*g**2 - 19*g\/2 + 13\/4.\nAnswer: -(g - 1)**3*(g + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4 + 1041*f**3 + 216684*f**2 + 215644*f.\nAnswer: f*(f + 1)*(f + 286)*(f + 754)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 890 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u. Let d(v) = -8*v - 1. Let m(q) = 11*b(q) - 4*d(q). Suppose -30*j = -8 - 82. What is m(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14964\/629 - -398\/17. What is the common denominator of c and (7 - 3) + -2 - 312\/(-30)?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 450?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 1328\/17515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*t = 3945. Suppose 0 = -4*m - 5*f + t, -517 = -2*m + 3*f - 106. List the prime factors of m.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*x - 213 = 0, 3*n - 20 = -3*x + 193. What is the remainder when n is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-68) - 2\/(-17)*-1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l**2 + l**3 + 4*l**2)*(303 - 5775 - 5744 + 4056 - 10599 - 517) as v + i*l**3 + k*l + s*l**2 and give i.\nAnswer: -18276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.4442 or -60\/17?\nAnswer: -60\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/48*136\/34.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/9584 and -109\/5990?\nAnswer: 47920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*q - 880540, -6*q + 7*q = -4. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 16. Suppose o*t - 1512000 = 11*t. Round t to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*g - 138 + 138 to the form j + f*g and give f.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.02676791 and -0.1.\nAnswer: -0.12676791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60 - 129) + 63 + 6 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**3 + 22*p**2 - 24*p + 2. What is n(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(8*l**4 + 0*l**4 - 2*l**4) - l**2 + 2*l**4 + l**2.\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-3\/2))\/k**(-5\/6)*k**5*(k\/k**10*k)\/k assuming k is positive.\nAnswer: k**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 58.317 - 53.91. Let d = 0.007 - i. Let t = d + 5. Round t to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5940 = 17*a. Let t be 2\/(-17)*a\/(-30). Which is smaller: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12906 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1369.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**7\/(k*k**1))**(-4) assuming k is positive.\nAnswer: k**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 35969599 to the power of 1\/2, to the nearest integer?\nAnswer: 5997","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -155*v**3 + 6*v**2 + 3*v - 40. Let t(s) = -619*s**3 + 26*s**2 + 13*s - 161. Let f(l) = -9*q(l) + 2*t(l). What is the second derivative of f(k) wrt k?\nAnswer: 942*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 230? (a) -0.08 (b) -2 (c) -1\/10 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from omoomommmmmoomomomo. Give prob of picking 2 m.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(343))**2*-2 - (sqrt(7) + 0)**2*6) + 3 + (-6*sqrt(343) - sqrt(7)) + 3.\nAnswer: -719 - 43*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -82 + 157. What is the highest common divisor of 30 and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-4) + 3048\/(-32). Let q be (-52)\/(-10) - (-19)\/v. Which is the third smallest value? (a) -5 (b) q (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = 6205*q - 6208*q + 2*y, 1194 = -99*q + 4*y - 707 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 5\/6, -0.02, 0.1 in decreasing order.\nAnswer: 5\/6, 0.1, -0.02, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/(c\/(c\/c**(-1))))\/c)*c*c)**(9\/11)\/(c*(c*c*c**(-1\/3))\/c)**(-3\/14))\/((c**2)**(-2\/17)*c**(9\/5)\/c**(-9)) assuming c is positive.\nAnswer: c**(-112197\/13090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -685 + 684. Let v = -0.5 - -0.51. Which is the third biggest value? (a) z (b) v (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -12. Suppose -5*a - 5*y = -70, p = -4*a + 2*y + 3*y + 65. Is a a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 732 - 737. Is (12\/36*j)\/(1\/(-5223)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 - 6*x**2 + 83*x - 247. Calculate s(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(275)*-3 + 4)**2.\nAnswer: -120*sqrt(11) + 2495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5795.579us?\nAnswer: 5795579","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 18*j - 750 = 0. Suppose 3*v - 5*v = -4. Suppose -v = 4*f - j. Calculate the remainder when f is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 - 4*p**3 - 3*p**2)*(121 - 2*p + 58*p - 52*p).\nAnswer: -16*p**4 - 484*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -4*u**2 + 21*u + 32. Give p(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 - 4442040?\nAnswer: -4442025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6341?\nAnswer: 17, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/((f*f**0)\/f))\/f*f**(2\/5)*f)\/(f**(-1\/2)\/f)**(45\/4) assuming f is positive.\nAnswer: f**(771\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 844*a**2*s - 4*a**2 + 21*a*s - s + 6959 wrt s?\nAnswer: 844*a**2 + 21*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 25*i**4\/3 + 965*i**3\/3 - 19240*i**2\/3 - 315860*i\/3 + 43120 = 0.\nAnswer: -49, -12, 2\/5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - 161*m**2 - 19*m**2 as u*m**2 + b*m + d and give u.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three tenths of a litre?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 - 68. Let g = 282 + p. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 + 4 + -5 + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38473.\nAnswer: 79, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (93\/(-2))\/(60\/(-400)). Let p = o + -619\/2. Factor 0 - 3\/2*n + p*n**2.\nAnswer: n*(n - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 502502 + -502503.599388. Let g = -1.6 - z. What is g rounded to five dps?\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 0 - 9\/2*w**2 + 3\/4*w**4 + 13\/6*w**3 + 9*w - 1\/20*w**5. What are the prime factors of j(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2*h = 3*y + 6, -4 = 4*h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lxplxeellpielpr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = 5*g + 4*u, -g - 70*u - 25 = -73*u. Let z(r) = -r**2 - 7*r - 7. Let q be z(-5). Sort g, q, 0 in decreasing order.\nAnswer: q, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27 - 1505?\nAnswer: -1533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 144 = 2*l. Let i = 73 + l. Let o = -6 + i. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1 = -13. What is the tens digit of (p\/20 + 3)*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17, 69, 121, 173, 225?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = p - 22. Suppose -2*a = p*a - 36. Solve -a = -3*v - 15 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3*g - 5)*(30*g + 19*g - 8*g)*(-2 + 1 + 3).\nAnswer: 246*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9179568 - 9179568 - 1581*q.\nAnswer: -1581*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-6)*12\/(-40)*-15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 301*v + 6061. Does 20 divide r(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**2 - 891424*o - 49664796736.\nAnswer: -4*(o + 111428)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(1 + 2)*1. Suppose 6*b - b = b. Suppose b*d = d - o. Calculate the remainder when 3 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccd when three letters picked without replacement from {x: 1, c: 7, d: 1, u: 3, l: 2}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 8 + 4. Suppose 4*u = o - a*o + 316, -3*u - 2*o + 242 = 0. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 1385 = -5*d, d = -d - 6. Is 50 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 11*o**2 + 32*o + 2. Let v(i) = 34*i**2 + 92*i + 5. Calculate -8*q(m) + 3*v(m).\nAnswer: 14*m**2 + 20*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (46 - -4)*(133\/(-70))\/(-19). Solve 4*s - s + 2 = -k, -v*s + 20 = -3*k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 49, -4, 2 in increasing order.\nAnswer: -4, 1, 2, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0.2, -290, 1 in ascending order.\nAnswer: -290, -9, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 3:20 AM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 + -3 - ((11 - -12) + -19).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 102223?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.58632775 rounded to one dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 15 = -3*r, 2*r - 5*r + 5 = -a. Suppose -4*m - m = r. Let s be ((-72)\/(-189))\/((-4)\/(-6)). Is m <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*k**3 + 214*k**3 + 218*k**3 - 647*k**3.\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/4 + 631*k\/2 + 6820.\nAnswer: (k + 22)*(k + 1240)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -631*y**5\/60 + 11*y**4\/4 + 504*y**2. Find the second derivative of l(k) wrt k.\nAnswer: -1262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -80.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 15*u - 27. Suppose 5*t - 3*w = -2*w - 22, 0 = -t - u*w - 20. Let k(i) = 2*i**2 - 7*i - 2. Let p(a) = a. What is t*p(x) - k(x)?\nAnswer: -2*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7053 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from fufffyyufffyyfffmff.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23972 - -119863\/5. Let g(s) be the first derivative of p*s**2 + 5 + 1\/15*s**3 + s. Find r, given that g(r) = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -9. Sort -0.3, o, 2\/13 in descending order.\nAnswer: 2\/13, -0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - m + 2. Let g be j(2). What is the smallest value in 0.5, g, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6000)\/(-18))\/((-1)\/(-6561)). What is x rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -49 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**4 + 11*y**2 - 2 - 4*y + 13*y**2 + 7*y**2 - 38*y**2 + y to o + b*y**3 + c*y**4 + r*y + v*y**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c64 + -323a6?\nAnswer: -31742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -3\/20, 0.4, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9270\/(-2318) - -4)\/(-1). Let u = n - -67227\/5795. Find the common denominator of u and -73\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*t - 12079 - 12087 = 0, 4*t = 4*d + 48356. Let h = d - -1136755\/94. Calculate the common denominator of 23\/8 and h.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 2*k + 4 + 2*k + 0*k - k + (-5*k + 2*k + k)*(2 - 1 - 2) + k - 2*k - k - 1 + 1 - 3*k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.4472 * -124205\nAnswer: -55544.476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -9*m + 105. What is b(9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f**3\/5 - 52656*f**2\/5 - 21060*f - 52648\/5 = 0 for f.\nAnswer: -13162, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*j + 1935 = -63*j. Suppose -20*u + j = -315. Calculate the greatest common factor of u and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243*s + 119*s - 90*s + 100*s + 118*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/283232664 and -31\/14304680.\nAnswer: 1416163320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 74*q - 144. Calculate c(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*d - 0*d + 40, -d + 2*h = 0. Are -8 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**5 + 212490*h**4 + 3764790675*h**3 + 75210841500*h**2 = 0.\nAnswer: -35405, -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 1 + 2 - 1 + k - 5. Let s be j(2). Let x be (18\/8 + s)*12. Solve 0 = 3*i - x, -4*q - 3*i + 37 = 2*i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - x + 1. Let t(r) = -r - 4. Let b be t(-5). Let y(h) = 4*h**2 + 4*h + 13. Let f(j) = b*y(j) - 3*i(j). Is f(-7) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(18\/75*(-80)\/48)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dav when three letters picked without replacement from ndnva.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-6\/5))**(-8)*(i*i**(1\/5))\/i**(-10))**39 assuming i is positive.\nAnswer: i**(4056\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 11742?\nAnswer: 105678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/7 - 1503940*g\/7 + 16543098\/7.\nAnswer: 2*(g - 751959)*(g - 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*d + 12. Suppose j + 17 - 1 = i, d*i - 38 = -2*j. Suppose 3*y = 2*y + i. Solve 0 = -2*r - 5 - 1, 2*r - y = -4*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 261, 392, 523, 654, 785?\nAnswer: 916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 2*x**2 + 2*x + 4. Let v(g) be the first derivative of -5*g**4\/4 + 3*g**3 - 9*g**2\/2 - 17*g - 5387. Determine -4*v(s) - 18*y(s).\nAnswer: 2*s**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i - 4. Let n be (-2)\/(-10) + (-38)\/(-10). Let m be b(n). Let k be 0\/(3 - m)*1. Put k, -3, -5 in decreasing order.\nAnswer: k, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/30)\/(20*(-36)\/(-1200)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 1. Let b = -0.778371 - 0.621629. What is the closest to 1\/3 in b, -2\/13, i?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 1432660260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 186.82 and 17.\nAnswer: 3175.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1042)\/8*1)\/((-11)\/44) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*z + 3*h + 19 = 0, h = 3*z - 18. Suppose z*s = 4*r + 15, -r + s + 26 = -6*r. Let d be 2 + r + (5 - 2). Solve d = b + 2*b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410397159 is divided by 489.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (180\/(-100) + 1)*(-14)\/(-8).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -129 (c) 0 (d) 3 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 less than 1.43174?\nAnswer: -19.56826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 35298185 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l - 16. Let n(i) = -9*i - 33. Let r(o) = 5*c(o) - 2*n(o). Let a be r(-15). Find the first derivative of 2*x**3 - x**3 - a*x**3 - 48 + x**3 wrt x.\nAnswer: -42*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-2)\/(-36)*(-3252)\/4065.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 14, -5\/2 in descending order.\nAnswer: 14, 4, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 - 111*w - 820. Determine t(58).\nAnswer: -530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-9*(-5 + 31\/6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {g: 3, r: 7, d: 4}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 37\/3, 16, 0.5, 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 86 or 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - 2. Let x be a(-4). Solve -3 = x*r + r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 53*s + 43*s - 84*s + 11 + (-4 + 3 - 2)*(-1 + s + 1).\nAnswer: 9*s + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 558558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02 + 1.98. Let r(f) = f**3 - 8*f**2 - 8*f - 2. Let s be r(9). Let p be (-1)\/(-1)*(s - 4). Which is the nearest to 0.1? (a) p (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*g - 73 = -313 - 66 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1544759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 - -135. Suppose -26*u = -22*u - 20. Calculate the remainder when i is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 * -504\nAnswer: 7056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 9. Let s be x(-6). What is the second derivative of s*b**4 + 305*b - 298*b + 10*b**4 wrt b?\nAnswer: 156*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8115 + 12477. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4672225045?\nAnswer: 5, 59, 353, 44867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 373*w - 43623. Calculate i(117).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 3*d + 42. Let o(u) = 0*u + 3*u + 4*u + 7 - 6*u. Let i be o(d). Solve -4*k + r = -15, -k + 4*k - 5*r - 7 = i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 556*m = 553*m + 18 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2 - z + 3. Let s(t) = -t + 3. What is 4*i(m) - 5*s(m)?\nAnswer: -8*m**2 + m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooohxehoo. What is prob of sequence xo?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73.25539 nanoseconds to microseconds.\nAnswer: 0.07325539","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1392 and 4350?\nAnswer: 34800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.3, 3\/8, 0.4, 13\/5 in ascending order.\nAnswer: 3\/8, 0.4, 1.3, 13\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-4)*((-128)\/28)\/(-8). Which is smaller: j or 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -3 - 6*d + 3\/2*d**2. Is a(10) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 31*h - 150. What is p(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2300579371.\nAnswer: 2300579371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*q + 118*q + 760*q**2 - 157*q as n*q + s*q**2 + f and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1567 by -2136.\nAnswer: -1567\/2136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*a**3 - 203*a**3 + 58*a**3 + 95*a**3 - 13*a**2 + 66*a**3.\nAnswer: 129*a**3 - 13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*z + 93*z - 64*z)*(-z - 5*z + 8*z) + 1 + z**2 - 1.\nAnswer: 209*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11700303?\nAnswer: 3, 71, 163, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/17 (b) 5 (c) -3\/5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -32*c**4 + 164*c**3 + 84*c**2 - 104*c + 24. Let h(v) = -33*v**4 + 165*v**3 + 83*v**2 - 104*v + 23. Let b(m) = -4*h(m) + 3*k(m). Factor b(f).\nAnswer: 4*(f - 5)*(f + 1)*(3*f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2*y = -2*h - 14, -h - 3*y + 3 = 0. List the prime factors of -249*(6\/h)\/((-12)\/18).\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, y: 4, q: 3}. Give prob of sequence dd.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3c9529 (base 15) to base 16\nAnswer: 2c832c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 9*x**3 - 9*x**2 + 18*x - 16. Let g(n) = 5*n**3 - 4*n**2 + 9*n - 8. Let c(a) = -11*g(a) + 6*z(a). Is 3 a factor of c(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 2*d - 12 = 2*d, -5*q = 3*d + 9 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 354 = 4*z + z, -211 = 3*z + 2*n. Let l = z - -354\/5. Which is the biggest value? (a) -3 (b) -1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 118*w - 97. What are the prime factors of g(-74)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -4\/17 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 - 1023*n**3 + 13121*n**2 + 9495*n - 409050.\nAnswer: (n - 1010)*(n - 9)**2*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -256 + 151. Let w = l + 107. Let h(y) = y**2 - 2*y. Calculate h(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q - 3 + 3 + (-6 + 2 + 5)*(5 - 2*q - 5) + 98*q - 49*q - 1 + 3*q.\nAnswer: 48*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 15 = 3*s + p, -3*p = 18. Solve 7*v = -2*t + s*v - 2, 0 = -t + 2*v - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 3*u + 5*a - 6*a = 67, 131*a - 200 = u + 135*a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 2 + -6)*(-2 - (0 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18067 minus 0.21?\nAnswer: 18066.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -4*d + 21. Let s(u) = 26*u**2 - 4. Let t(g) = -5*g**2 + 18625 + 18621 - 37245. What is d*t(o) - 3*s(o)?\nAnswer: 2*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 2*k - 2 - 3, -5*t - 7 = 2*k. Let x(w) be the third derivative of -1\/12*w**4 - 1\/6*w**3 + 4*w**2 - 1\/10*w**5 + 0 + 0*w. What is x(t)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 3*y**2 + 4*y - 11. Let w(i) = 16*i - 2 + 1 + 9*i + 0 - 4*i**2. Let c be w(6). What is the tens digit of n(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5457*0.5\nAnswer: -0.27285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 + 18 + (-19 - -1) + 10 + 1 + 4?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8638777.\nAnswer: 7, 23, 53657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (46 - (41 + -36))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1562 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*h + 137, -2*h + 184 = 4*p - 5*h. Calculate the remainder when p is divided by 2*(-1 - 13\/(-2)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6.043866518 and 1.7?\nAnswer: 7.743866518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 6*t**2 - 4*t - 5. Let o be j(-5). Let f = 18 + o. Let n = f - 5. Solve 0 = 3*q, -2*g - 3*g = -n*q + 20 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -0.01742, -1 in ascending order.\nAnswer: -1, -0.01742, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - 75\/(-15))*(-2)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -1\/60*x**6 + 5\/12*x**4 + 0 + 0*x**2 + 1\/40*x**5 + 133*x + 2\/3*x**3. Find b such that k(b) = 0.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*r - 36*r + 12 = 0. Let j be (-54 - -58) + 2 + r. Solve -m - 5*c = 1, -j*c - c = -5*m + 25 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 161 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-468)\/(-21) + 6\/(-21). Suppose 0 = b - 3*b + y. Let a(k) = -k**3 + 11*k**2 + k - 14. Let g be a(b). Let x(o) = 2*o + 2. Calculate x(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -240 + a**2 - 31*a + 240 in the form x*a**2 + g + u*a and give u.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 39868*t + 39937. Give s(-1).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -2) + (1 + -4 - -7) + (-52 - -56).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 0 + 0*c**4 - 1\/6*c**3 + 0*c - 54*c**2 - 1\/60*c**5. Let r(b) be the first derivative of b**2\/2 - 20. Calculate r(a) - x(a).\nAnswer: a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36489*k = -18328*k - 18230*k - 4347 for k.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 7*n + 4785 - 9620 + 4835.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51873*p**2 - 70418*p?\nAnswer: -103746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4705 and 42345?\nAnswer: 42345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/10*(-365)\/(-219)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -5*s + 65, -2*q + 7 = s + q. Let w(p) = p**2 - 7*p - 36. Let f be w(-4). Suppose 6*i - f*i = 0. Solve -3*n = -5*r - s - i, r - 1 = 2*n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + -1947. Round w to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) -5 (b) -1 (c) -151 (d) 11 (e) -0.5 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5950*n - 1037 = 5933*n. Solve -2*h - 55 = -n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-3))\/(((-114)\/(-5))\/((-168)\/(-105)))\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -1, -24.3, -5, 60.\nAnswer: -24.3, -5, -3\/2, -1, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - 2 - (-95)\/5. Let l be (-3)\/(((-45)\/v)\/5). Suppose 21 = 3*d + m, -4*d + 3*d + l = -5*m. What is d rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 4. Let y = 283 - 254. Suppose 22*r = y*r - 14. Calculate g(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900)*3 + 0)**2*5.\nAnswer: 85500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7958.73 + -7924. Let i = 38.2 - q. Round i to one dp.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 4*z**3 - 3*z**2. Let i be r(1). Solve 7 - i = -2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8780992, -35123980, -79028960, -140495932, -219524896, -316115852, -430268800?\nAnswer: -561983740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -1 - 4, -5*d + t + 80 = 0. Let r be (d\/(-6))\/5*-94. Let p = -140\/3 + r. Which is the nearest to p? (a) -5 (b) -1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**2. Let y be 10 + -5 + 5 + -3. Let n(u) = 2*u + 7. Let j(l) = -l - 3. Let h(z) = y*j(z) + 3*n(z). Give k(h(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3532 divided by 315?\nAnswer: 3532\/315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 6*n**2 + 13*n + 33. Let a(o) = 2*o**2 + 43*o + 29. Let z be a(-21). Let s be d(z). Calculate the highest common factor of 45 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1914, 1, 4, -1, -16.\nAnswer: -16, -1, 1, 4, 1914","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(11) + -4*sqrt(11)*3)**2*3.\nAnswer: -15972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1026, -1.4, 175, 23 in increasing order.\nAnswer: -1.4, 23, 175, 1026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 14 = 26. Let l = -5 + p. Let u = 71 - 70. Is u at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q + 1. Suppose w + 0 + 17 = 5*t, -2*w + 2 = -t. Give p(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*m - 26 - 24 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3))**4*(l**(-11))**(1\/9) assuming l is positive.\nAnswer: l**(-119\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 155*y + 59. Let m be o(4). Suppose c - 836 = -5*b - 2*c, -c = -4*b + m. What is the remainder when b is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 17436.9 milliseconds?\nAnswer: 17.4369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 23*z. Let o(c) be the first derivative of -c**3\/3 - 35. Calculate q(o(m)).\nAnswer: -23*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37167 + -37154.9348. What is s rounded to zero dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**3 - 7*h**2 - 6*h. Let k(y) = 3*y**3 + 7*y**2 + 7*y. What is -5*g(i) - 4*k(i)?\nAnswer: 3*i**3 + 7*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*v + 10. Which is the closest to v? (a) 6 (b) 4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 6) to base 10\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-200)\/32)\/(1\/(-8)). Suppose 5*q + 13 + 2 = 0. Is 8 a factor of g\/3 - (-2)\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -3*h**5\/5 - 5*h**4\/3 + 4*h**3\/3 - 5*h. Determine z so that b(z) = 0.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 27 = -1088*r + 1083*r, 5*h = -2*r + 66. Solve -534*b + 528*b = -h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) -0.1 (b) 4 (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 times 3413.2?\nAnswer: -78503.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -13\/2 (b) 2\/11 (c) -5 (d) 22 (e) -0.1 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 8. Let b(o) = o**2 - 7*o + 8. Let l be b(h). Suppose 2*x = p - 2, p - x + 10 = 4*x. Solve -4 + p = l*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 18. Which is the nearest to p? (a) 5 (b) 0.2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 0 - 5\/10)*26. What are the prime factors of n\/((-26)\/144)*3\/(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**2*z**4 - 106*v**2*z**2 + 6*v**2 + 2*v*z + 3 wrt z.\nAnswer: 12*v**2*z**2 - 212*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 10) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.0581 and -5.\nAnswer: 5.2905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44920, -44900, -44880?\nAnswer: -44860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(484) + sqrt(484) + sqrt(484) + sqrt(484)*-1))\/(sqrt(55)\/sqrt(5)*3))\/(sqrt(128)\/((sqrt(88)*3)\/sqrt(11))).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f**2 + 1. Let m(k) = k - 8081*k**2 - k + 0*k + 8079*k**2. Determine -3*h(a) - 5*m(a).\nAnswer: -5*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 443.51 rounded to the nearest 10?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -42\/26701 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 3104 = -2213. Calculate the remainder when l is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*s - 0*l + 111, 0 = -4*s - 5*l + 267. Calculate the greatest common divisor of s and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + j - 16. Let f be i(6). Suppose 300 = -f*g + 32*g. Suppose -6*x + 50 = -x. What is the highest common factor of x and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*sqrt(72)\/sqrt(6) + -4) - (sqrt(192) + -2 + -1 + sqrt(192) + sqrt(192))*-1)**2.\nAnswer: 1156*sqrt(3) + 3757","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49566 to the power of 1\/2, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - w - 10769 + 10729 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 891 and 6039.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 936*m = 934*m + 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*c - 71*c - 66*c + 11*c**3 - 69*c + 275*c.\nAnswer: 11*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -8.98?\nAnswer: -4.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 124627 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 518.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 18*y**2 - 10. Let c(i) = 5*i**2. Determine c(g(o)).\nAnswer: 1620*o**4 - 1800*o**2 + 500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406748204?\nAnswer: 2, 101687051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14b19a (base 15) to base 4.\nAnswer: 3303333022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4 + (1*(sqrt(245) + -1) + sqrt(245))*-1 + 0 + sqrt(245) + sqrt(245) + -2 + sqrt(245) + 1 + 5)**2.\nAnswer: 56*sqrt(5) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -5*o + 1\/5*o**5 + 2\/3*o**4 + 2\/3*o**3 + 3 + 0*o**2. Let j(y) be the first derivative of w(y). Factor j(c).\nAnswer: 4*c*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(153) - (sqrt(153) - sqrt(153)*2))*6*2 + (sqrt(153) - -2*sqrt(153)*-6 - 1*(1 + sqrt(153)))*-3)**2.\nAnswer: 1512*sqrt(17) + 1079577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -12)\/(66\/77*(-70)\/(-75)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z**2 - 450*z - 5304. Give f(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 2*b**2 + 5*b + 5. Give h(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -3.92?\nAnswer: -3.92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.1 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**3 + 25 - 5*p**3 - 29 + 11 - 11 + 3*p**3 + (-2*p**2 + 5*p**2 - 5*p**2)*(-4*p - p + 3*p).\nAnswer: 5*p**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -110 + 69?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (7 - (-171)\/(-18))\/((-12)\/48)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -190939*(-4 - (-5 + 0)). Suppose 0 = 4*j - 653544 + 153788. Let t = b + j. What is t rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*v = -69*v + 4704. Suppose v + 1290 = 18*g. Is g a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 224*x**2 - 3*x + 4. Let l(n) = n**3 + 7*n**2 + 6*n - 4. Let s be l(-6). Let j be f(s). What is j rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 9 (c) 0 (d) -0.1 (e) 0.023\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*a**4 - 67*a**3 + 15*a**2 - 118628?\nAnswer: -32*a**3 - 201*a**2 + 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/75? (a) -10 (b) -4\/5 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/12*(-55 + -2). Suppose -y = -o + 6. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2673)*-3)\/sqrt(11).\nAnswer: -27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 11 = 8*i, -10*k - 67 = -1308*i + 1309*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 584648581 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-162)\/(-1539) + (-7)\/(1729\/(-12)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 10. Let g be 345*x\/6*2. Suppose 3*w + 4*m = 396, 0 = -5*w + 3*m + g + 315. What is the highest common divisor of w and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 + 5 + a)*(5*a**2 + a**2 - 4*a**2) - 58*a**3 - 1117*a**3 - 543*a**3)*(4 + 1 + 6) to o + p*a**3 + z*a + v*a**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -1688 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -92437*q**3 + 3 with respect to q.\nAnswer: -277311*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.7. Let w = v + 0.6. Let s = w - 0.199946. Round s to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l + 10. Let d be o(-3). Solve -4 = -0*s - 2*s - 2*y, 0 = 2*s + 3*y - d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 783125 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 v = 35 + -25. Let x(u) = 80774*u**2 + 26*u - 38. Let f(y) = y**2 + 1. Let o(q) = v*f(q) + x(q). Let m be o(22). What is m rounded to the nearest 1000000?\nAnswer: 39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q + 31*q + 33*q + 12 - 17*q.\nAnswer: 52*q + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/4 + (-7)\/(-14). Calculate the remainder when 27 is divided by 110\/m + 2\/8.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - u**2 + 4*u + 6627. What is the tens digit of j(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -309 divided by -103\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -16\/33*o**3 + 13\/11*o**2 + 5 + 1\/22*o**4 - 12\/11*o. Factor d(y).\nAnswer: 2*(y - 6)*(y - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.3 times -166195?\nAnswer: -5368098.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 188\nAnswer: 1\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 14952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1514 + 1513.3. Which is the nearest to -0.59? (a) t (b) 0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 14 = u, -2*u = -u - 2*h - 11. Is 2\/(-5) - (-167)\/u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 16 = 0, 0*t + 5*c = t + 21. Let v be ((-13)\/((-26)\/6))\/(2\/(-2)). Sort t, -2, v in decreasing order.\nAnswer: t, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100) - (sqrt(100) - 4*sqrt(100)*2))\/((sqrt(60)\/sqrt(2))\/sqrt(3)))\/((sqrt(5) + 3*sqrt(20)\/sqrt(4))*-2*-5) + 3.\nAnswer: sqrt(2)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/2688 and -41\/170352?\nAnswer: 1362816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1093 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m**2 - 2*m - 2. Let b(s) = -3*s**2 + s + 1. Let l(f) = -3*b(f) - 2*n(f). Calculate l(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 368 and 350844?\nAnswer: 32277648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 29710, 59590, 89646, 119878, 150286, 180870, 211630?\n\"Answer: 88*j**2 + 29616*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1460 + 85*x - 730 - 731)*(-3 + 4 - 4).\nAnswer: -255*x + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m = 6*m + 162. Suppose m = 5*s - 2*s. What is the greatest common divisor of 27 and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 400.476658165 + 392.52334389. Let c = 793 - a. Round c to seven decimal places.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -2\/5*a**3 + 8\/5*a + 2\/25*a**5 - 4\/5*a**2 + 1\/5*a**4 - 2. Factor t(q).\nAnswer: 2*(q - 1)**2*(q + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192 and 20397456.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2974*d**3 + d**2 - d - 4. Let z be x(3). What is z rounded to the nearest one thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1177 - 923 = -10*m. What is the common denominator of 91\/4 and (2\/3)\/(518\/m)?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 10*u + 5. Let i be h(-4). Let n be (-2)\/(((-2584)\/(-516) + -5)\/1). Let t = i - n. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -1 + 0 + 2 + 2*j + j**2. Let a(c) = 62 - 29 - 34. Give -4*a(l) - b(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 divided by 4700.\nAnswer: -23\/1175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 767\/3080 + 3\/3080. Factor 2*o - l*o**2 - 4.\nAnswer: -(o - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 7 - 58. Is u != 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 2805406.\nAnswer: 3\/2805406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3073938 to the power of 1\/2, to the nearest integer?\nAnswer: 1753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 16461874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 33\/(-12)*(-12)\/3. Suppose -8*u + 3*u = -55. Calculate the greatest common factor of u and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4914356453?\nAnswer: 281, 401, 43613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 31*d**2 + 217*d - 5476. Let u(f) = -82*f**2 - 579*f + 14602. Let n(p) = -21*q(p) - 8*u(p). Factor n(m).\nAnswer: 5*(m - 13)*(m + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - (6\/3 + -1). Suppose 18 = 3*y + c + 2*c, 0 = -g*y + 5*c - 6. Solve -2*q - 10 = 5*r - 4*q, -y*r + 4*q - 6 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t. Let f(y) = 409*y**2 + 3987*y. What is p(f(l))?\nAnswer: -1636*l**2 - 15948*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338*s + 1038*s - 313*s - 289*s + 2.\nAnswer: 98*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -8 - -7 - (-2)\/(-2). Let n = -0.36 - 0.04. Which is the second biggest value? (a) z (b) 0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -23*u + 5. Let g be h(4). Let f = -28 - g. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 + 257\/5. Let r be (-8)\/(-10)*(-15)\/(-6). Suppose 8 = i + 4*k, 0*i - 5 = -2*i + 3*k. Which is the second smallest value? (a) n (b) i (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**2 + 0 - 2\/3*f**3 - 10\/3*f = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -50\/3*m + 106\/3*m**2 - 10*m**3 + 2 = 0.\nAnswer: 1\/5, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1826359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2700164 (base 11) to base 13\nAnswer: c76c14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o - 1 + 1 + (4*o + o - 3*o)*(2 + 1 - 1) + 3 - 3*o - 3)*(30*o**2 + 5*o**2 + 3*o**2) in the form t*o**2 + m*o + d*o**3 + x and give d.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -709, -1290, -1569, -1396, -621?\nAnswer: 906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 88 + 26 - 5*o**3 - 26 + 5*o**4 wrt o.\nAnswer: 20*o**3 - 15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 80 = 410. Is (m\/15)\/((-4)\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4536242 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 0. Let q(t) = t**2 + 8*t. Let y be 2\/(-9) - 94\/(-18). Let m(n) = -n**2 - 7*n. Let o(c) = a*m(c) + y*q(c). Find the second derivative of o(f) wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 3*z - 9, -232 = -4*k + z - 251 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -17) + (0 - (-14 + 5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3834076 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21945700?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 286 + -291. Let d(o) = 34*o**2 + 21. What is the tens digit of d(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 9, o: 9}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/1131 and 5\/7917.\nAnswer: 7917","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5846 and 9085.\nAnswer: 672290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 41*m + 167. Give z(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18284 - 1944 + 8667 - 25107)*(3*h - 3*h + 3*h) to the form r*h + q and give r.\nAnswer: -110004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 2572624.\nAnswer: 43734608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22384, 44828, 67348, 89944, 112616, 135364, 158188?\nAnswer: 181088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2452, -2366, -2296, -2242, -2204?\nAnswer: -2182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -385 - -228. Let j be -3 - -2 - l - 1. Suppose -j = -4*g - g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65698 and 3991.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (33\/9)\/(8\/2616)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/21)*(r\/r**43)\/r)\/((r*r*r\/(r*r**(-6\/35))*r)\/r**(2\/19)) assuming r is positive.\nAnswer: r**(-91712\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - ((-126)\/(-56) + (-6)\/(-8)). Let b(l) be the first derivative of 0*l**2 + 1\/3*l**3 + 3\/8*l**6 - 1\/2*l**4 + u*l - 3 - 3\/20*l**5. Factor b(h).\nAnswer: h**2*(h + 1)*(3*h - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i + 6. Let f be a(3). Let h be 3\/(f - 10\/5). Solve 5*z = -h - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -46*d**5 - 353670*d**4 + 184722*d**3 + 1430270*d**2 + 891924*d = 0.\nAnswer: -7689, -1, 0, 58\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4 = 2*n, 5*n - 14 = -0*n - 2*x. Let i(s) = 145*s + 44. Let h be i(0). Calculate the highest common factor of h and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -30*c. Let u(s) be the second derivative of -s**5\/30 - 7*s**2\/2 - 16*s. Let k(y) be the first derivative of u(y). What is k(x(q))?\nAnswer: -1800*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 3*w - 3. Let b be f(-4). Solve -k - 2 = t, 2*k + 3 = 5*t - b for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8 + 4 - 0)\/(3\/(-9)). Is -9 + i - (-762 - 1) - -3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1096 - -1142. What is the highest common factor of l and 2162?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (82 - -148)\/115*-65.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2464.2 - 2465. Sort v, 2\/5, -0.05, 3\/4 in ascending order.\nAnswer: v, -0.05, 2\/5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -64. Calculate the remainder when p is divided by -2 - (-20 - (-6 - 1)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -204327, -204028, -203191, -201546, -198823, -194752, -189063?\n\"Answer: 45*y**3 - y**2 - 13*y - 204358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 + 17*s + 34. Let g be w(-2). Factor 50*u**3 + u - 52*u**3 - 7*u - g*u**2 + 0*u.\nAnswer: -2*u*(u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 171 = -2*o + 55*o. Let i(y) be the first derivative of 13\/3*y**o + 0*y**2 + 0*y - 9\/4*y**4 + 23. Find the third derivative of i(p) wrt p.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/6*(-119)\/(1071\/12)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 536 and 1298326.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 0.78 (b) 2 (c) 0.5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, -1\/181, 0.3?\nAnswer: -1\/181","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -975, -3996, -9029, -16074?\n\"Answer: -1006*r**2 - 3*r + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t. Let v(x) = -5. Let k(s) = 1. Let o(b) = 11*k(b) + 2*v(b). Suppose -4*j - 12 = 4. Let r(g) = j*o(g) - z(g). What is the derivative of r(i) wrt i?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*z + 130 = 0, 0*g - 4*z = 5*g - 666. Let k = 134 - g. Solve 23*y - 24*y + 2 = k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -209, -1394\/7, 16 in decreasing order.\nAnswer: 16, 5, -1394\/7, -209","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 15*c**2 + 6*c - 13. Is g(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of j**6\/15 - 4*j**5\/25 - j**4\/2 + 4*j**3\/3 + 4*j**2\/5 - 16*j\/5 + 752. Determine p, given that r(p) = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1402 or 1266?\nAnswer: 1266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 6:30 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(17)*3 + -3)**2.\nAnswer: -54*sqrt(17) + 1386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -131922, -527734, -1187432, -2111022, -3298510, -4749902, -6465204?\nAnswer: -8444422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2671 divide 1023412205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 104448854 to the power of 1\/2, to the nearest integer?\nAnswer: 10220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17\/5, -0.3, 0, -23, 2 in ascending order.\nAnswer: -23, -0.3, 0, 2, 17\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 3*n - 5, -2*n - 19*j + 14*j - 30 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**5 + 4650*f**4 - 90105*f**3 + 52730*f**2 + 5000640*f - 9565920 = 0. What is f?\nAnswer: -949, -7, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 54 - 3a6?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 11:35 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 41283279 divided by 9?\nAnswer: 4587031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83 + (-9)\/(18\/(-8))?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*1\/(-7)*24\/(-24)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 656*l + 9. Let v(r) = 668*r + 7. Give -3*p(x) + 4*v(x).\nAnswer: 704*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 261, -1, -6, 1 in increasing order.\nAnswer: -6, -1, 1, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 134, 208, 284, 362, 442, 524?\nAnswer: 608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3529*u + 44235 + 22816 = 0 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - t + 1 = 0, 8*i - 5*i = -t + 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128, -187, -770, -1627, -2764, -4187, -5902, -7915?\nAnswer: -10232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3226*k - 776. Let t(i) = -3223*i - 781. Let w(c) = 5*p(c) - 4*t(c). Differentiate w(o) wrt o.\nAnswer: -3238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19551 by 5.\nAnswer: -19551\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 9:12 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77894\/11 - 7068. Let i = -941\/22 + p. Calculate the common denominator of i and -21\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f - 5*f**2 + 0*f + 2*f.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -720261139, -720261142, -720261145, -720261148, -720261151?\n\"Answer: -3*f - 720261136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 - 33. Suppose -8 = -3*b + 4. Calculate the smallest common multiple of b and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7 + 39*n + 42*n - 121*n + 41*n. Calculate p(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 5*y - 1708 = -4*k, 5*y = 0. Let i = k - -474. Calculate the remainder when 58 is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, k: 4, v: 2, j: 3, l: 2}. What is prob of sequence kjbl?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74.076 + -74. Let u = -289279.0759926 + 289279. Let a = u + y. Round a to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 7*j**2 - 2*j + 4. Suppose 5*n = -0*n - 35. Suppose -3*c = u - 33, -6*c = -4*u - 4*c + 62. What is the lowest common multiple of k(n) and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2410 or 2395?\nAnswer: 2395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjy when three letters picked without replacement from njnjhjiiyyxjyyh?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.28 - 0.245. Let k = 0.065 + u. Which is the closest to k? (a) -2\/5 (b) -2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or 693?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -10344.8 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.119 (b) 3\/4 (c) 3 (d) -3 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-219055.\nAnswer: 87622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 4. Let r = -316 - -306. Let t = -4.3 - -4. Which is the biggest value? (a) r (b) t (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -337\/21 - -95\/6. Let o = -2016\/37 - -77699\/74. Let h = -966 + o. What is the common denominator of p and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 6 (b) -1\/6 (c) -0.5 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2043, -1983, -1885, -1749, -1575?\n\"Answer: 19*r**2 + 3*r - 2065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -h + 3*h - 75, b + 5*h = 38. What is the highest common factor of b and 184?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705019324 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0226 and -18.\nAnswer: -17.9774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5. Let a(u) = -17. Let q(s) = -2*a(s) + 7*z(s). Let r(i) = 3*i - 6. Give -9*q(p) + r(p).\nAnswer: 3*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(200) - -2*sqrt(200))**2 + ((sqrt(16) - (sqrt(16) + sqrt(64)))\/sqrt(8))**2.\nAnswer: 1808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156947 is divided by 451?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/178385 and 48\/7?\nAnswer: 1248695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 432 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/1040 and 24\/818545?\nAnswer: 13096720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1347*h - 33411 = 444*h for h.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -5*z**4\/24 + 5*z**3\/6 - 78*z**2. What is the remainder when i(-3) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 8*n = -12. Let g(t) = 341*t**2 + 6*t + 6. Is g(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*d + 8 = 61*d. Suppose 11 = 6*a - d. Solve a*w + 2 = 3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8718565*i**3 - 4*i**2 - 8718570*i**3 - 5*i**2.\nAnswer: -5*i**3 - 9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -8212 + 8212 + 2*u. Let x(p) = -49*p**2 + 8*p - 6. Let z(h) = 6*j(h) - x(h). What is the second derivative of z(s) wrt s?\nAnswer: 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 - -3 - ((-144)\/(-24) - (-1 - -12)). Solve 3*h + 1 = -j*s, 3*s = h - 5*h - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004128687 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-232)\/56)\/((65\/910)\/(4\/(-6 - 2))).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 10:01 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4 + 28278*h**3 - 84861*h**2 - 509058*h.\nAnswer: h*(h - 6)*(h + 3)*(h + 28281)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -4*s - 14. Calculate the common denominator of (-848)\/s*(-2)\/(-32) and 10\/(-8)*40\/124.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (99 - (36 - -57)) + (0 - 1) + 36\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 24 = -4*r. Suppose 3*g + 3*u = -3, -5*g + 2*u - 4 = 6*u. Suppose -q + 2*q - r*n = 89, g = -4*q + 3*n + 336. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-594)\/(-3) - (-24)\/4. Calculate the greatest common factor of l and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-1))**(-6\/13)\/((b*b*b\/(b**(-1\/18)\/b))\/(b\/b**(-8))))**44 assuming b is positive.\nAnswer: b**(27830\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1619091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 31 - 122*x**2 - 172497*x + 345002*x - 172506*x in the form d*x + r + f*x**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + (-5*(sqrt(2) - sqrt(8)\/(sqrt(4)*3)))**2 + sqrt(1800)*6)*1.\nAnswer: 146\/9 + 180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zaa when three letters picked without replacement from {p: 1, z: 4, x: 2, l: 2, a: 3}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -18981*r - 662. Is n(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 5*z - 20. Let a(h) = -h + z*h + 3 - 3*h + h. Give a(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549192 is divided by 68573.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3453997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + sqrt(432) + -3 + sqrt(9)\/(sqrt(18)\/(sqrt(6) + sqrt(24))))**2*-1.\nAnswer: -682 + 90*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 - 1038*h + 1041.\nAnswer: -3*(h - 1)*(h + 347)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6 * -4894337\nAnswer: -29366022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 10097*o + 80605. What is s(-8)?\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -4 + (3 - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -19\/176467 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o**2 + 3*o. Let a(x) = 9*x**2 - 10*x - 1. Determine -a(i) - 3*u(i).\nAnswer: -18*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 38 = -4*y, -3770 = -30*s + 5*y - 3585 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3)\/(q**3*q))\/((((q**(-6)\/q)\/q)\/q)\/(q**(3\/2)*q)))**(-16) assuming q is positive.\nAnswer: q**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r - 15. Let p be y(-7). Let v be (-4 + 0)*(-2)\/4. Suppose 5*n - 2*s - 8 = -4*s, 0 = 2*n - s - 5. Solve -n*f - f = -5*x + p, -f - 5*x = v for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(-3\/2)))\/(n*n*n*n*n**(2\/5)*n))**(-2\/29)\/((n*n**(-2\/3)*n*n*n\/n**(3\/2))\/(n\/n**(-1))**41) assuming n is positive.\nAnswer: n**(70159\/870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 2:43 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 4*k + 153, 5*h - k = h + 191. What is the smallest common multiple of 470 and h?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/107136 and 95\/5184.\nAnswer: 321408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3*t**5\/2 + 66*t**4 + 27681*t**3\/2 + 484245*t**2 + 4888350*t - 5386500 = 0.\nAnswer: -30, 1, 133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.855 - 9.855. Which is the closest to -71? (a) 0.5 (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 (base 4) in base 3?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v**2 + v**2 + 4*v**2 + (-42*v - 151*v - v)*(-2*v + 1 - 1) to t*v + l + c*v**2 and give c.\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 29 = 3*l, 6*l - 14 = 5*l - 5*g. Suppose -4*n + 9 = -0*w - 3*w, 0 = -5*n - w + 35. What is the remainder when l is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**2 - 5. Calculate v(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -6*f + 9. Let k be h(1). Factor 6075*t - 593*t**3 - 592*t**k + 1188*t**3 + 270*t**2.\nAnswer: 3*t*(t + 45)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (1 + -1) - -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ang when three letters picked without replacement from {x: 1, n: 1, o: 1, w: 2, g: 1, a: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0236 (b) 0.1 (c) -0.0618\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762701\/20 at least 88134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 655230 >= 655232?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 0, 3, 5 in increasing order.\nAnswer: 0, 3, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5472 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 3:12 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.013 - 4.187. Let d = v - -0.2. Suppose 5*j - 22*z = -10 - 5, 2*j + 2*z + 6 = 0. Which is the nearest to 0? (a) 0.1 (b) d (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3114\/261 - (-120)\/(-10)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9428 + 9409.005. Let b = -19 - j. Round b to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -z - 5, 5*q = -5*z + 3*q + 29 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -5*i**3\/3 - 1837. Let d(s) = -2*s**2 + 0*s**2 + 0*s**2. Give d(b(z)).\nAnswer: -50*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 479? (a) -0.5 (b) -187 (c) 0.0246\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-7)\/w*w*w**(-1\/4)*(w\/w**(-5))\/(w**(-2)\/w)*((w\/w**7)\/w**(-1\/9))\/(w*w*w\/(w**(2\/3)*w))**(3\/13) assuming w is positive.\nAnswer: w**(-2081\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(-23))*w**(-13\/5))\/(w**(-13))**(-43\/4))**(-41) assuming w is positive.\nAnswer: w**(135587\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d**2. Let n(u) be the third derivative of 73*u**5\/30 - 64*u**2. Calculate c(n(t)).\nAnswer: -63948*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 5*k**2 + 19*k + 41. What are the prime factors of p(13)?\nAnswer: 2, 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y**2 + 2*y**2 + 2*y**2)*(-1 - 2 + 1) - y**2 - 3*y**2 + 2*y**2 + (0*y + 2*y - 3*y)*(-2*y + 0*y + 0*y) in the form k*y**2 + n + m*y and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26283*s - 3*s**2 + 26283*s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7330.06 decades?\nAnswer: 73300.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -2 - (21 - 19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 33, -5\/4, -0.5, 2 in descending order.\nAnswer: 33, 4, 2, -0.5, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/5))**(-39))**(-3\/5)\/((z**(-1\/2))**(-1\/67)\/(z**(-1\/2))**32) assuming z is positive.\nAnswer: z**(-22269\/3350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 21 = 3. What is the smallest common multiple of v and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 8, 33, 68?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, f: 5, a: 2}. What is prob of sequence fna?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 25*c**3 - 2053102530*c**2 - 1642482036*c - 328496408 = 0.\nAnswer: -2\/5, 82124102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6029?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 4*h - 175 + 146, 4*p - 30 = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 61809.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 36?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*h + 1808837 - 1809343 = 0 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 4*u + 133. Give c(13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(136)*4)\/sqrt(8) - 1*sqrt(102)\/sqrt(6).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 3*r**2 - r + 2. Let z = 12 - 14. Calculate the remainder when 15 is divided by o(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 27*s**2 + 57*s + 30100. What is the ten thousands digit of h(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 1:03 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c. Let v(j) = -5*j - 1. Suppose 7*m = -41 - 43. Let b be (-8)\/m - ((-10)\/(-3))\/2. Determine b*v(r) - 3*t(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -2\/9, -4.4, 4 in increasing order.\nAnswer: -4.4, -2\/5, -2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 5.5. Let b = -4.04565 + 0.04565. Let f = -122\/5 + 24. What is the nearest to f in n, b, -3\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a micrometer in nanometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 1:55 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 590 = 3*x - 2*z - 15, -3*x = -z - 610. Is x a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38025 and 73515.\nAnswer: 2535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 33, 181, 575, 1335, 2581, 4433?\n\"Answer: 20*w**3 + 3*w**2 - w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -52768.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0888, -0.05438, 0.071 in descending order.\nAnswer: 0.071, -0.05438, -0.0888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c + 25. Let w(a) = -11*a + 49. Let g(b) = 13*r(b) - 6*w(b). What is the remainder when g(0) is divided by 156\/10 - 6\/(-15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6*d**2. Let u be s(1). Suppose 0 = -2*o + 2 + 6. Suppose -o*b = -u*b + 74. What are the prime factors of b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from bccbbccc.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34868295741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -4 - 0) + -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, b: 3}. Give prob of sequence jbbb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 1416377685855.\nAnswer: 1416377685856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -14*o**2 + 7*o**2 + 5 + 5*o**2 + 0. Let z be (-37)\/(-13) - (-5 + 504\/104). Determine y(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 - h + 170. Calculate p(10).\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 3*j + 18. List the prime factors of g(5).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -10*q**2 + 1446*q - 2353. Determine p(143).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4094693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46893 is divided by 262.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 378, 754, 1130, 1506, 1882, 2258?\nAnswer: 2634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o - 24. Let i(l) = 1. Calculate -4*i(m) - v(m).\nAnswer: 2*m + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 926 a factor of 2852059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 17\/(-15))*(-9)\/(-6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2468 - 2463. What is the second smallest value in z, -0.4, 3, -2\/11, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 5 + 5)*(220*w - 140*w + 80*w + 202*w)*(-w + 3*w - w).\nAnswer: 724*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 575\/7 + -82. What is the nearest to -0.1 in 2, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-9 - (-8 - 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2 + 4*t - 6. Give g(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 385\/(-44)*246\/287.\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21.9 - -22. Let c = 0.1 + i. What is the nearest to -2\/7 in -2\/5, -1\/4, c?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 11*q**2 + 11*q**2 - 30*q**2 + 13*q**2. Let m(h) = 5*h. Determine m(w(g)).\nAnswer: 25*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -342, 0.1, -14, -9 in ascending order.\nAnswer: -342, -14, -9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*p - 28*p + 11*p + 740 = 0 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4 + 4*k**3 - 36*k**2 - 36*k.\nAnswer: 4*k*(k - 3)*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*1*-1 - sqrt(78))\/(2*sqrt(6)*2 + sqrt(6)))**2.\nAnswer: 52\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 75\/67984 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -11*2 - (14 + -16). Let b = 31 + s. Suppose 0 = d - b + 6. Solve t - d*n = 7, 2*t + 2*n + 3 = 5 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 4*v**3 - 4 + 125*v**2 - 298*v**2 + 85*v**2 to the form b*v**2 + n*v**3 + c*v + j and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -165.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -187 divided by -4\nAnswer: 187\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -587*r**2\/3 - 195*r + 2\/3.\nAnswer: -(r + 1)*(587*r - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -14804.73641 rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, 1, 0, 2\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (((-20)\/(-12))\/5)\/(22\/18)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = u - 3, 5*k - 5*u + 5 = -0*u. Let y be (-2 - k) + 0 + 35\/5. Solve -f + y = -3*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 67*w**5 - 12*w**2 - 3*w - 3. Let t(y) = 67*y**5 - y**3 - 11*y**2 - 2*y - 2. Let h(k) = 2*o(k) - 3*t(k). Find the third derivative of h(a) wrt a.\nAnswer: -4020*a**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**2 - q**2 - 10*q**4 + (-q + q + q**3)*(1 - q - 1) - 8*q**4 - 5*q**4 + 4*q**4 to o*q**4 + x + z*q**3 + j*q**2 + t*q and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7539, 7591, 7643, 7695, 7747, 7799?\nAnswer: 7851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7811.7 times -0.1?\nAnswer: -781.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.14 + -1.06. Let h = a + 0.28. Round h to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1dc47b + -89?\nAnswer: -1dc526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1327)\/18578)\/(15\/(-28)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4888 and 108056.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/2*(-12)\/(-7). Let n = c + -5. Let t be (-92)\/(-48) + (-6)\/3 + 0. Which is smaller: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -2*d**3\/3 - 8*d. Let s(a) = 3*a. Give h(s(n)).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3 + 5 + 0 + 4*y**2. Suppose g - u + 1 = 0, g + 5 + 2 = -5*u. Let a(q) = -21*q**2 - 11. Let l(i) = g*a(i) - 11*d(i). Let s(n) = n. Calculate s(l(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 2292760.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-612)\/270)\/17)\/((-7)\/(-35)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*q - 5*b + b, 7 = 3*q - 2*b. Let s = -5 + 7. Suppose -6 = q*y - 3*n, 0 = 3*y - 4*y + s*n - 7. Calculate the remainder when 9 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c, 4*c + 54 = -2*r + 3*c. What is the common denominator of 18\/r - (-1 + 0) and (-18105)\/918 - (-6)\/27?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 4*a = 1508. Suppose 2*j = 3*i - 215, 2*j + 30 = 2*i - a. Which is greater: 71 or i?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*r - 9, -3*h + 2*r - 3*r = -66. Calculate the remainder when 81 is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -402024 (base 6) in base 7?\nAnswer: -160663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19302336 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 + 36 - x**2 + 23 + 0*x**2 + 12*x - 2*x**2.\nAnswer: -3*(x - 7)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + 9. Let k be a - (0 - -2)\/2. Calculate the remainder when 27 is divided by ((-7)\/k)\/((-2)\/42).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*a + 315 + 374 = 0, -x + 5*a = -263. List the prime factors of x.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - -2 - (26 + -23)*-2*1497 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2157039936 a multiple of 12944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 1, 0.3, 1\/222260.\nAnswer: -5, -1, 1\/222260, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 6:57 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36664 = 658*j + 27776 - 21670 for j.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 213*f**2 - 2136*f + 58. Determine o(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 3 + 0 + 1 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 215605427391636696 + -215605432620272751.99999951. Let q = h + 5228636080. Let i = q - 24. Round i to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 11 = o, 3*f + 36*o - 38*o = 10. Solve 4*d - 12*i + 13*i + 10 = 0, -f*d + 2*i = 4 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 17911?\nAnswer: 197021","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 7*d - 6. Let x(g) = -6*g + 5. Let c(t) = 5*a(t) + 6*x(t). Let l be (-30)\/(6 + -1) + 0. What is c(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -6.882. Let p = 5.118 - w. Let o = -1.97 - 0.03. Sort -0.2, p, o.\nAnswer: o, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-145)\/(-290))\/((-3)\/(-306))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39052481*k**3 + 78105019*k**3 - 39052552*k**3.\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/70)\/(-7 - (-111)\/16)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 131 = 126 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38151691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/9 or -9676.7292?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 + 112. Suppose -137 = -5*u - t + 62, 5*u - 4*t - 204 = m. What is the remainder when u is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2555 - 1431532?\nAnswer: -1424533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3\/2, 0.3, 0, -11, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/21 + 2*(-172)\/(-24). Suppose -r*b = 9*b + 168. Let m(x) = -x**3 - 8*x**2 - 8*x - 1. Give m(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 120098812, 120098816, 120098820, 120098824, 120098828, 120098832?\nAnswer: 120098836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z - 6. Let r be h(-8). Suppose -r*f + 3 = 1. Suppose d = 9 - f. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-1)\/2*2. Suppose -6 = -s*o - 2*o. Suppose -2*d - o*n + 4*n = 12, n = -d - 3. What is the second biggest value in 2, d, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157 times -10?\nAnswer: 1570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 24 (c) -4\/5 (d) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -21314910 and -2.3.\nAnswer: -21314912.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence seu when three letters picked without replacement from deueuudedeswe.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 12*f**2 + 2*f - 14. What is the tens digit of n(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4\/3 or -2?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 42707694?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1521326800 to the nearest one hundred thousand.\nAnswer: -1521300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -311.7 + 28.7. Let o = -282.7 - t. Let l = -0.1 - 0.9. Which is the closest to 0? (a) l (b) 1\/6 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 121.1209 + -22.1639. Round r to 0 dps.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 120.44 - 121.44. What is the closest to v in 1\/4, -0.5, 0.1, -72\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.394125ns to minutes.\nAnswer: 0.00000000015656875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-1*(-1)\/(-93)). Let h be a\/(-6) - 3\/2. Which is bigger: h or 12?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fnm when three letters picked without replacement from mnznzkffqmnfz.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i - 1143 = 1530. Let c = i + -167. Suppose -2*o + c = -o - 2*q, 2*q + 634 = 5*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000718973 to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - 18) + (-2 - 10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 56.134145 - 56.15. Round v to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mskssgsms. What is prob of picking 2 s?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 4:21 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 211 + -101. Suppose 3*d - 5*f = 119, h + 83 = 5*d - 3*f. Suppose 4*z + 2*y - 31 = -y, 4*y = -5*z + d. What is the remainder when 19 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 + r - 3. Let v(f) = -10*f**3 - 9*f**2 - 4*f - 12. Let z(x) = 3*x**3 + 3*x**2 + x + 4. Let m(o) = -2*v(o) - 7*z(o). What is -2*m(p) + 3*s(p)?\nAnswer: 2*p**3 + p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -16. What is the first derivative of 3*r**2 + 7*r**3 - 4*r**2 + r**v - 17 wrt r?\nAnswer: 21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 1, 3, -193, -4 in increasing order.\nAnswer: -193, -5, -4, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3234, 6506, 9810, 13152, 16538?\nAnswer: 19974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - -9 - 29\/(145\/20). Let r(o) = 7*o**3 - 2*o**2 - o + 4. Let z(b) = b**3 + b**2 - b. Let h(d) = r(d) - 6*z(d). Give h(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 5 - 2\/(-3)*33. Suppose 0 = 3*f - 2*n, -2 = 4*f + 3*n - p. Solve -8*q + 4*q = 5*b - 37, -q = -b + f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -4.8.\nAnswer: -5, -4.8, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3751*0.69186.\nAnswer: -0.951376686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011011 (base 2) in base 5?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 s when three letters picked without replacement from {h: 8, s: 2, y: 3, o: 2}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7081\/5820 - 4\/6) + (-6)\/10.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.58, 2\/9, -358, -94?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - t**4 + 2*t**4 - t)*(3 + 1 - 3) + 2*t**4 - 5*t**4 - t**4.\nAnswer: -3*t**4 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 256 divided by 64?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11130 and 9540.\nAnswer: 66780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2828 - 2827. What is the greatest common factor of 95 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1930577223?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*h - 2. Factor h*f**2 - 6*f**2 - 2*f**2 - 6*f - 3.\nAnswer: -3*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + (-45)\/(-10))\/(-2 + 1)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3 = -9. Suppose -4*u - l*y = -y - 261, 4*u - 2*y - 246 = 0. Calculate the greatest common divisor of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 - 2*k**3 + 2*k**3)*(-25 + 17 - 11)*(8*k - 5*k + 8*k)*(3*k + 0*k + 0*k).\nAnswer: -627*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -22*s**2. Let n be b(-1). Let i be (n\/(-6))\/((-3)\/(-90)). Let p = 477 - 467. What is the greatest common factor of p and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.4*9.\nAnswer: -102.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 2*a + 2. Let b be g(4). Let p = -6 - -9. Let x(w) = -p*w**2 - 7*w + w**2 - 2*w**2 + 3*w**2. What is x(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*m - y - 16, -4*y = 5*m + 16. Suppose m = 3*r + 5*r. List the prime factors of -1 + 27 + (r - -2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/165)\/(3000\/(-550))\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l**4*w - 621553*l**4 - 35*l**3*w - 32*l**2 - 13340*l*w + 7*w wrt l?\nAnswer: 48*l*w - 14917272*l - 210*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/24 and -21\/1747036?\nAnswer: 10482216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*i = -5*o + 41*i - 2, 0 = -o - 2*i + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 11999, 2?\nAnswer: 11999","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 4210457.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-370)\/(-4) - (-1)\/2. Let i = v - 79. Suppose -3*f = 38 - 143. Calculate the highest common divisor of i and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -323?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2, 2, 8, 16?\n\"Answer: v**2 + v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31752 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -11, 59, 211, 475, 881?\nAnswer: 1459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9775091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 41, -96, -233, -370, -507?\n\"Answer: -137*v + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/12 - -1)\/(5\/(-9)). Determine t so that b*t - 4\/5 - 2\/5*t**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, z: 2, c: 1, p: 1, y: 1, k: 1}. What is prob of picking 2 z, 1 y, and 1 k?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -1020*z - 61105. Calculate q(-60).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(28) - (-4 + (sqrt(7)*-4)**2).\nAnswer: -108 - 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msmsms. What is prob of sequence mm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l**3 - 1 + 1)*(-14*l - 3*l + 6*l) to q*l + a*l**3 + y + t*l**4 + w*l**2 and give t.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**2 + 3*p + 2. Let f(z) = -z**2 - 5*z. Let j(d) = 3*d**2 + 17*d. Let u(o) = 7*f(o) + 2*j(o). Determine -3*u(b) - x(b).\nAnswer: 6*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(5) - (sqrt(5) + -2)) - (0 + sqrt(5))*1)**2 + 3.\nAnswer: -8*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**3 - 12*g**2 - 12*g + 8. Let u(m) = -m**3 - m + 1. Let r(l) = -2*u(l) - y(l). Calculate r(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**4\/5 - 442278*p**3 - 35382048*p**2\/5 - 141527936*p\/5.\nAnswer: -p*(p + 8)**2*(p + 2211374)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3*2\/(-15))\/(1020\/1600) and -5\/21.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.915 to one dp.\nAnswer: 8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 1 = 10. Suppose -4862 = -m*o - 1667. Suppose 0 = 3*z, h - 4*h - 2*z + o = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 9*i = -3*j + 93, i - 33 = -0*j + 3*j - i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22 - 3\/9*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f - 47*f = -5040. Solve 0*g = 18*g - f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 4. Let i be s(3). Suppose -6 = m + i*c, -3*m + 14 = -2*m - 5*c. Suppose y + m = 2*y. Solve y = -3*n - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 6*k + 10. What is the lowest common multiple of u(-6) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4169*u**3*z**2 - 4*u**3*z + 4*u**2*z**2 - 601*u**2 - 4*u*z**2 - 4*u - 3*z**2 + 2*z wrt z?\nAnswer: -8338*u**3 + 8*u**2 - 8*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mk when two letters picked without replacement from kmmommfzo.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 22. Let k = 19\/39 - 2\/13. Suppose -5*w = -3*w + 2. Which is the closest to k? (a) w (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*r + 519 + 29*r + 1091*r**3 - 1082*r**3 - 519.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 97*i - 2415. What is q(62)?\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.34349 + -0.3103. What is q rounded to 3 dps?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(0 + 4)\/(-4)*0. Let s(n) = n + 5 + q*n + 9*n - 4. Give s(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2336 and 584.\nAnswer: 2336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1057, -2366, -3707, -5074, -6461, -7862, -9271?\nAnswer: -10682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (42 + -3 - 0) + 7165 + -7060?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + 9\/((-27)\/(-42)). Let w = j - 25. Is w less than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 17757*w - 106507. Give z(6).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 63*t - 1495 - 1474 + 2970. What is x(-1)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 21129930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42264, -169052, -380366, -676206, -1056572?\nAnswer: -1521464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9409.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**2 + 2*w + 2. Suppose -15 = -5*h - 20. Let l be a(h). Is 2\/37 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3523595 rounded to two dps?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*i - 12. List the prime factors of (-62)\/(-31) + (385 - 1)\/i.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 18\/13 and -1.73 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 804791.\nAnswer: 13, 31, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 PM and 5:26 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13.469 + -0.131. Let k = w + 14. Which is the second biggest value? (a) k (b) -3\/4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**2\/5 - 189*d + 2629\/5 = 0. What is d?\nAnswer: -239, 11\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -10. Is 7\/(21\/h) + 21 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1490 + 1655. Calculate the remainder when y is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*z**2 - 596*z**2 + 117*z**2.\nAnswer: -726*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 550*b**3 - 42*b**2 wrt b.\nAnswer: 3300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42 + 110?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2972, -11856, -26664, -47396?\nAnswer: -74052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -322211304 (base 5) to base 2\nAnswer: -101001101100110110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -2, -6\/5, -17 in descending order.\nAnswer: 2, -6\/5, -2, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76136339.\nAnswer: 29, 283, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - f + 7545 + 33969, -4*r + 166056 = 6*f. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*l**2 - 5*l**3 + 7*l**2 + (-l**2 + l**2 - 2*l**2)*(0*l - l + 2*l) - l**3 + 3*l**3 + 8*l**3 - 1 + 1 + 2*l**3 + 2 - 139*l - 212*l**3 - 139*l - 2 + 278*l.\nAnswer: -207*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4*(34 + (1 - -7)). Suppose 2*m = g - 930, 4*m + 1 = v. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**2. Let f(s) = -5617*s. Give x(f(o)).\nAnswer: -126202756*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 + 117 + -47 + -1 + -3 + -3 + 39?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -3*y + 44. Let k = y - 28. Suppose k*h = -h + 9. Solve 19 = 4*p + x, -p + h*x = -0*p - 8 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/5))**(-2\/111))**16 assuming t is positive.\nAnswer: t**(32\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13416)\/104*1*(1\/15)\/(-1)?\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -996*h**2 + 0*h + h - 861*h**2 - 2*h**3.\nAnswer: -2*h**3 - 1857*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 3486912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.999996 + -8. What is f rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-495)\/198*(-16)\/(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Suppose -9*f + 2835 = -2*f. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) -1 (c) 11 (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = r - 1488, 12*n - r - 300 = 11*n. What is the remainder when n is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 3*w**2\/2 + w + 1. Let o be m(3). Solve -2 = 4*n - o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 44 - 37 - (-55 - 0).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(108) + sqrt(108) + -2 + 2 + sqrt(108))**2 + 2 + ((sqrt(108) + -3*sqrt(108) - sqrt(108)) + -1 - (sqrt(108) - (0 + 1*sqrt(108))))**2)*6.\nAnswer: -11646 + 216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1049*h - 3*h**3 + h**3 - 1043*h.\nAnswer: -2*h**3 + 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 8*h**2 - 8*h + 1. Let n be v(9). Suppose -n*o = -7*o - 51. Calculate the highest common factor of o and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/10 + (-9)\/2. Let o = 6 + k. Suppose -o = i - 1. Is i bigger than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -20, -2\/169, 53, -7?\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*n - 44 = 57, 47 = 3*b + n. Let j = 9 + -25. Let l = b + j. Calculate the lowest common multiple of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 6.999985. What is m rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -13 in descending order.\nAnswer: 0, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 6 - 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3964, 3968, 3960, 3934, 3884, 3804?\nAnswer: 3688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1254*x = 1344*x + 2778*x + 301056 for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -7, 0.2, -154\/27, 0.4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7757.04173 + 7757. Let y = 0.0419831 + f. What is y rounded to five dps?\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 599*z**2 + 435*z**2 + 8*z**2 - 3.\nAnswer: 1042*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/((-2660)\/24)*19.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**3 - 7060*p**2 - 408918*p = 0.\nAnswer: -57, 0, 3587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -3 (c) 0.224\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x*x**6\/x*x)*x)\/x*x)**(-3\/4)\/((x*x**(-16)*x)\/((x*x**24)\/x)) assuming x is positive.\nAnswer: x**(85\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*z = 139 - 843. Solve 2*v + 9 = z for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1489 = -6*i - 1459 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 149135293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5256782 is divided by 2628351?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -778 greater than -778?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2. Let w = -71 + 73. Let u(k) be the second derivative of 0*k**w - 1\/3*k**4 + 2*k + 0*k**3 + 0. Give m(u(o)).\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-105)\/45)\/((-2)\/6). Suppose -b = -2*n + 5. Differentiate -5*t + 8*t**4 + 11*t - n*t + 3 wrt t.\nAnswer: 32*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -12*t**2 + 13745*t - 41122. Determine g(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1646 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -3*s - 9\/2*s**2 - 7. Calculate k(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 7*u**4\/6 + 14*u. Let g(m) be the third derivative of -m**4\/8 - 6*m**2 + 9. What is g(n(a))?\nAnswer: -42*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.1 (b) -1\/3 (c) 5\/2 (d) -0.011 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121310 - 3220?\nAnswer: 112030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42922 - -22871. Round j to the nearest 100.\nAnswer: -20100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1218*y = 1219*y - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-3)\/((-63)\/3)). Is (-4)\/10*(u + -26) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 595812 and 127674?\nAnswer: 1787436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * 0.859.\nAnswer: 7.731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 2*b**2 - 6*b - 6. Let a be f(-3). Solve a*h + 2*g + 7 = 0, 5*h + 4*g = 5*g - 16 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 470\/(-4248) - 576\/(-2592) and 143\/36?\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -24*p**2 - 5*p - 41. Let g be k(-4). Which is smaller: -404 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5 + 1 = 0. Find the second derivative of 83*g + 41*g**z + 77*g - 165*g wrt g.\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31553 is divided by 735?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13.45 - 12.85. Put 1\/3, -1, -0.3, h in decreasing order.\nAnswer: h, 1\/3, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364592 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: Collect the terms in 31 - 200*p**2 + 202*p**2 + 87.\nAnswer: 2*p**2 + 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24330 (base 6) to base 16.\nAnswer: dfe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/13743 and 71\/21.\nAnswer: 96201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -29*b + 24*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 219, 352, 475, 594?\nAnswer: 715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2651853406?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -1) + (-1 - 2) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -160*w + 165*w + 21, 3*h + 6 = 0. Which is the nearest to -1? (a) -1\/4 (b) 0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, p: 2, g: 4}. What is prob of picking 1 g, 1 u, and 2 p?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -7. Let d = 2.6 - 6.6. What is the nearest to d in -0.3, 2\/15, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.5 + 2.5. Is -2\/3 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 971753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -1. Suppose 0 = 5*a + 3*v - 207, 0 = f*a - 6*v + 3*v - 183. What are the prime factors of a?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/3 - (-2 - 0). Let i = -0.4 - -5.4. Which is the second biggest value? (a) 2 (b) i (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 7:47 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**2 - 24*f + 29. Let a be q(12). Let b = -278 + a. Calculate the remainder when b is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 4:42 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1305, -97, 0 in decreasing order.\nAnswer: 1305, 4, 0, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * 2.2\nAnswer: 0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.7 - -101.7. Let h = -96.00000252 + n. What is h rounded to seven decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c - 16*c + 6*c + 3*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.98? (a) -0.2 (b) 0.26481 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**5*w*w)\/w**(-1\/4))\/((w**(2\/3)\/w*w*w)\/(w*w**(1\/2)*w)))\/(w**(-3\/2)*w**3*w\/w**(-3)*w\/w**(3\/4)) assuming w is positive.\nAnswer: w**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 36.2 + -36.3. What is the third biggest value in a, -0.02, -0.06?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -d**4\/12 + 2*d**3\/3 - 6*d**2 - 15*d + 1. What is the first derivative of k(j) wrt j?\nAnswer: -2*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/1753 in -2\/11, 78, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2005 minus -0.4?\nAnswer: -2004.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m**2 + 5*m + 3. Let y be (-51)\/(-5) + (-3)\/15. Let j be (-24)\/(-20) - 2\/y. Suppose -15 = -2*s - s. Let a(n) = n**2 - n - 1. Give j*z(i) + s*a(i).\nAnswer: i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1658508613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*i + 78*i - 185368 + 180418 = 0 for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1105 - -2484. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzua when four letters picked without replacement from nnzzdddznznnahuzd.\nAnswer: 1\/11424","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, o: 8, l: 5}. Give prob of sequence os.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25661310.\nAnswer: 2, 3, 5, 855377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 32494900 rounded to the nearest 1000000?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -4, 1 in decreasing order.\nAnswer: 4, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**9\/252 - 129*p**8\/16 + p**5\/15 + 95*p**4\/6 + 108*p**2 + 4. What is the third derivative of f(j) wrt j?\nAnswer: 240*j**3 - 162540*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 673*v = 677*v + 32 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away -55965.112?\nAnswer: 55965.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -9*u - 8. Let o be w(-5). Let l = -289 - -254. Let g = l + o. What is the second biggest value in g, 0.5, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 2) to base 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 173052636 to the power of 1\/2, to the nearest integer?\nAnswer: 13155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31936*g**2 - 14195*g?\nAnswer: 63872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 37*b + 98. Does 42 divide j(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3417 + 102511\/30. Let v(n) be the first derivative of -s*n**4 - 6 + 4\/45*n**3 + 7\/15*n**2 + 8\/15*n. Factor v(h).\nAnswer: -2*(h - 4)*(h + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + -8)*(49 + 585\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1330)\/15*144\/168 + -40?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 1\/10, -2\/55, 64, -0.2?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -49969, -5, 2, -6 in decreasing order.\nAnswer: 2, -5, -6, -49969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 3:48 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-6))\/(3\/45). Let o(f) be the third derivative of -f**6\/120 + f**5\/10 - 5*f**4\/24 + f**3\/2 - 4*f**2. What are the prime factors of o(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -13074.\nAnswer: -13074.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*d + 653 = -44*d - 1547 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(52854\/170982 - (-16)\/(-84))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22b (base 13) to base 3.\nAnswer: -111220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 7. Let d(m) = m - m - 6*m**2 + p*m**2. Let n(b) = -2*b**2 - 2*b**2 + b**2. What is n(d(i))?\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3371112 and 36145812?\nAnswer: 650624616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -34, -64, -112, -184, -286, -424?\nAnswer: -604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - -14. Let a be p\/2 - (12\/8 - 0). Calculate the highest common factor of a and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 208*m. Let q(x) = -6*x**2 + 2 - 2 + 0 + 9*x**2. Determine b(q(w)).\nAnswer: 624*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**4\/6 - 2*m**3\/3 - 4*m**2. Let n be w(2). Find the third derivative of -5*r**n + 5*r**2 + 8*r**2 - 4*r**2 wrt r.\nAnswer: -120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -16*i**2 - 226*i + 1300. What is n(5)?\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 2335 + 895 = 0. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 2*c**2 - 2. Let h(v) = 235*v**3 + 24*v**2 - 22. Determine -h(i) + 11*u(i).\nAnswer: -224*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of 1\/24*o**4 + 3*o**2 + 1\/3*o**3 + 0*o + 0. Let k be t(3). Calculate the greatest common factor of k and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1634000 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 9*d**2 - 33*d. What is the remainder when f(4) is divided by 66?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -157 + 173 + 133 + -239\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 482\/(-8))*8\/2. Let f be (u\/(-33) + 8)\/((-1)\/9). Sort 5, -54, f in descending order.\nAnswer: 5, f, -54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**5\/60 - p**4\/12 + 5*p**3\/2 - 5*p**2 - 6*p. Give y(7).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2069291.67 + -0.07.\nAnswer: 2069291.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b - 6. Calculate k(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56.84 - 5.736. Let h = y - 51. Round h to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -14*n**2 - 15*n + 13. Let o(u) = -5*u**2 - 5*u + 4. Let m(j) = 4*c(j) - 11*o(j). Let w be m(-6). Suppose 20 = w*s - 4. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01751 rounded to 4 decimal places?\nAnswer: 0.0175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.03982.\nAnswer: 0.07964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.9999973 - 6. What is t rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 118*x**3 - 4*x**2 + 2*x + 2. Suppose -r - 4 = -4*r + 2*n, -5*r + 11 = n. List the prime factors of t(r).\nAnswer: 2, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3094.863km to millimeters.\nAnswer: 3094863000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mt when two letters picked without replacement from {w: 2, t: 3, m: 2, q: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 3. Let z be i(-3). Let v = -0.0212 + -38.8788. Let a = 40 + v. Which is smaller: a or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3976001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 g when four letters picked without replacement from {g: 4, c: 1, s: 3, u: 10}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(((-5)\/(-2))\/5)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 = 2*m, -d + 7 = -m - m. What is the remainder when 8 is divided by -3 - (-2 - (-3)\/m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68.9 - 66. Let d = v + -5.85. Let s = d - 0.05. Which is the smallest value? (a) s (b) 0.5 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, 0.068, -7, -3, 1\/2 in increasing order.\nAnswer: -7, -3, 0.068, 1\/2, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49156, 98308, 147460, 196612, 245764, 294916?\nAnswer: 344068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-5*(1 + sqrt(19)))**2.\nAnswer: 200*sqrt(19) + 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -263\/15 - -76\/5. What is the closest to 0 in h, 2\/9, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*j**2 - 13180469 + 13180469.\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/48908 and 40\/12227.\nAnswer: 48908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 2*h**3 - h)*(1 - 4 + 0) - 4*h - 41*h**3 + 40*h**2 + 4*h - 7*h**3 + 57*h**3.\nAnswer: 3*h**3 + 40*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20815 - 0\/(-1*6\/48*8)?\nAnswer: 5, 23, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.18 - -0.42. Let x = -1.6 + g. Let p = 0.1 - 5.1. Which is the closest to 2\/3? (a) x (b) p (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*v + 14 + 23*v - 311*v + 41*v + 50*v in the form q*v + s and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 5. Let q be s(-10). Put -3, 3, q in increasing order.\nAnswer: -3, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**3 + 7*m**2 - 6*m. Let j(x) = -3*x**3 - 15*x**2 + 11*x. Let n(s) = -5*d(s) - 3*j(s). What is the units digit of n(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 57*j - 7. Let w be q(5). Suppose 4*c - 202 = w. Let o(t) = 13*t - 120 + c. Determine o(-1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 1\/11, 11\/13, -3, -115?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (13 - 2 - -3) - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 6 + 1)*(-132*o**2 + 228*o - 228*o)*(4 - 4*o - 4 + (-2 + 1 + 2)*(-o + 4 - 4)) to the form g*o**3 + x + l*o**2 + y*o and give g.\nAnswer: 7260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-11) - ((-2)\/(-6) + (-24380)\/1518)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q + 8. Let p(n) = n + 1. Let h(c) = -6*p(c) + w(c). Suppose 3*o = 18 + 30. Let t = 22 - o. Calculate h(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -654, -492, -56, 792, 2190?\nAnswer: 4276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 5*q - j, -q = 4*q + 4*j - 121. Calculate the remainder when (-24)\/(-42) - (1 - 276\/7) is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 12443*d**2 - 5*d - 2. Let h be b(-3). Round h to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 + -41.3. Let k = g + 6. Let b = k - 0.4. Round b to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 12:03 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 27*p**2 + 1642*p + 159. What is the least common multiple of x(-61) and 60?\nAnswer: 6960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p - 4*p + 46*p**3 + 24*p**3.\nAnswer: 70*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53.71345 grams to nanograms.\nAnswer: 53713450000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 3*s + 0*s)*(3 + 3 - 4) + s + 0*s + 0*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 4*w**2 - 2*w - 4. Let m be q(-4). Let c(t) = t**2 - 9*t - 2. Let k be c(m). Let i = 26 + k. Solve -3*v = 2*u + 11, 1 = 3*v - 5*u + i*u for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 49\/28) + -1. What is the nearest to 3.1 in -5, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4698.9 - -4699. Let n(y) be the second derivative of y**3\/6 - y**2 + y. Let m be n(0). Which is the nearest to t? (a) m (b) -9 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -520*k - 8. Let w(y) = -261*y - 3. Give 2*b(i) - 5*w(i).\nAnswer: 265*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 0.34.\nAnswer: 0.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 578715 by -123.\nAnswer: -4705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -22*r + 20*r - t, 5*r - 74 = -t. Are 14 and r non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -184311\/20 + 9210. What is the common denominator of -107\/66 and j?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.466414 rounded to two dps?\nAnswer: -1.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 7523, 2305.\nAnswer: -5, 2305, 7523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1*(-16)\/(-56) - 1314\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.3, -46.\nAnswer: -46, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*c - 425 = 0. Let v(g) = g**3 + 13*g**2 - 45*g - 412. Calculate the remainder when c is divided by v(-14).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1108 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -152 - -179. Suppose 32*v = k*v + 930. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2259*c - 1440*c + 5932*c)*(3*c**3 - 1 + 1).\nAnswer: 6699*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (d - d + d)*(37 + 27 + 12)*(2*d**2 + 3*d - 3*d) - 105 + 105 - 16*d**3 in the form m*d**3 + s*d**2 + n + o*d and give m.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -g - 2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17001 and 299007.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 3*a - 3*a**2 + 5*a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 16*x - 17 = 0. Solve -4*a - x = -3*l - 5*a, 3*l + 4*a = -14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*v**2 - 1)*(0*v**3 - 4*v**3 + 3*v**3) + 14*v**5 + 8 - 8 + (2*v**4 - 2*v**4 + v**4)*(-3*v + 3*v + v).\nAnswer: 13*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24745?\nAnswer: 5, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 3 - 9 = 3*d + 20, p + 5*d - 31 = 0 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 12999641.4 microseconds?\nAnswer: 0.0001504588125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, g: 9, w: 3, c: 2}. What is prob of picking 1 v and 1 w?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - y = -60 + 67, 5*x + 7 = -4*y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t, -7*i - 135 = -2*i - t. Let q = 142 + i. List the prime factors of q.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 13*s - 11. Let o be b(-14). Determine j so that -4*j**4 + 4*j**2 + 6*j - 4*j**3 + 0*j**o - 2*j = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**5\/15 - 33*t**2 - 11*t. Let u = 18 + -13. Let n(p) = 11*p**2 + u - 5. What is q(n(d))?\nAnswer: 484*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 + -61. What is the tens digit of (-8)\/k - 122\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*a - 125, 5*a = y + 3*y + 145. Is -28 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gkppgikikpkpkpkkk. Give prob of picking 1 g and 2 p.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78a (base 11) to base 16.\nAnswer: 3b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9250, -18450, -27562, -36544, -45354, -53950, -62290?\n\"Answer: 7*z**3 + 2*z**2 - 9255*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63*f*n**3 + 175*f*n**2 - n**3 wrt n.\nAnswer: 378*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 1. Let q(w) = -w**2 - 8. Let b(n) = 6*k(n) + q(n). Let u be b(5). Let v = -53\/2 - u. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*f + 117 = -51*f + 3*o, 4*f + 4*o = 2*f - f + 179 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358296730176108*t**4\/5 - 238864224499928*t**3\/5 + 174856048*t**2\/5 - 32*t\/5 = 0 for t.\nAnswer: -2\/3, 0, 2\/5464253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/2)\/((-8)\/((-192)\/(-18))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (21\/(-9))\/(21\/6)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51756 by 454.\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 94403345.4ns in weeks?\nAnswer: 0.0000001560901875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -634.\nAnswer: 3\/634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -4*p - z - 13, 7 = -p - 4*z. Suppose 4*q = 7*k - 10*k + 54, 4*k = p*q - 83. Sort -0.5, 0.1, q, 6\/7 in decreasing order.\nAnswer: q, 6\/7, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**5\/10 - 7*s**4\/6 + 16*s**3\/3 - 12*s**2 + 1335*s + 2. Factor f(x).\nAnswer: 2*(x - 3)*(x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8806 + -8806. Let j(z) be the third derivative of h*z**5 - 1\/30*z**6 + 0*z**3 + 2*z**2 + 2\/3*z**4 + 0 + 0*z. Factor j(x).\nAnswer: -4*x*(x - 2)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -1. Suppose 101 = -17*g + 118. Let t(f) = -3*f + 1. Calculate g*t(y) - 4*i(y).\nAnswer: -3*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3369.61 - 3347. Let b = -23.5 - -0.5. Let j = b + x. What is j rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**3\/6 - h**2\/4 - 22. Determine x, given that o(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -135059, -135054, -135037, -135002, -134943, -134854?\n\"Answer: p**3 - 2*p - 135058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2631187651?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffllkxkfffffffffl. Give prob of picking 1 l, 1 x, and 1 f.\nAnswer: 13\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306837051654 - -1.\nAnswer: -306837051653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*t**3 + 18*t**3 + 30 - 6*t**3 - 2*t**3 - 10*t**3 + 25*t with respect to t.\nAnswer: -15*t**2 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 41646350.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-18))\/(124\/1674)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -22*c**2 - 32*c - 23. Let y = -72 + 81. Let w(j) = 5*j**2 + 8*j + 6. Let g(o) = y*w(o) + 2*m(o). Let i be g(-6). Let b(q) = 2*q + 4. Give b(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 555 + -8. Is v a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -9594\/919?\nAnswer: -9594\/919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 62063556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v**2 - 3*v**2 - 1504 + 6*v**3 + 1504 - 5*v**3. Let u(t) = -4*t**3 - 14*t**2 - t. What is -5*p(b) - u(b)?\nAnswer: -b**3 + 9*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of k**7\/720 + k**6\/240 + k**5\/30 - 6*k**2. Let p(n) be the third derivative of y(n). Give p(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 5*b**2 + 7*b + 6. Let m be y(-6). Suppose m = -4*q, 3*h - q - 108 = -4*q. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - u - 1. Let n be l(2). Suppose n*s + 3*z - 10 = 0, -4*z + 1 + 7 = 4*s. Solve -3*v = -4*i + 28, 5*i = -0*v - s*v + 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -5) + (1 - (6 + 2 + -8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1357 = 175. Let k = -194 + w. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d**2 - d**2 - d**2)*((d + 4 + 5 - 5)*(1 + 4 - 21) + (2 - 5 + 2)*(-6*d + 4*d + 4*d)).\nAnswer: -72*d**3 - 256*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 5*f**2 + 3*f + 4. Let p be b(-5). Let h = p + 27. Let d = 43 + 4. What is the remainder when d is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 75 + 239574?\nAnswer: 239619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -32 + (-4 - 0) + 21\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -63560490 and -1.\nAnswer: 63560490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1337 divided by -7.\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**5\/20 - j**4\/3 - j**3\/2 - 3*j**2 + 7*j. What is v(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s + 2. Let h(k) = -k - 16*k + 50634 - 50640. What is 8*f(j) + 3*h(j)?\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*o + 74*o + 4 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03872 to 3 dps.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 592\/11*l**2 - 10\/11*l**5 - 128\/11*l**3 - 126\/11*l**4 + 672\/11*l - 32 = 0.\nAnswer: -11, -2, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {i: 3, r: 11}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*k**2 + 1\/4 + 0*k.\nAnswer: -(k - 1)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/((sqrt(121) - sqrt(121)*4)\/sqrt(11)))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i + i + 3*i + i**3 + 9*i**2 + 15*i - 10. Let u be z(-6). List the prime factors of (336\/3)\/4 + u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from -131.27.\nAnswer: -138.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q = -18*q - 6. Solve d + 12 = -q*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -102*j - 698. What is r(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001 - -111011111101111010101100?\nAnswer: 111011111101111011000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -3.3. What is the nearest to k in 0.2, -2\/15, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.1 (b) -4\/13 (c) -5 (d) -0.6 (e) 3\/5 (f) 0.207\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 1 - 3. Let x(m) = 3*m**2 + 3*m + 1. Let f(y) = y**2 - y - 1. Let l(v) = b*f(v) + x(v). What are the prime factors of l(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1912400+48.225215\nAnswer: 1912448.225215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(-3 + -3 + (-3 - -898)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 - 2*y**2 - 16*y + 19. Let s be l(1). Let r(c) be the third derivative of s*c - 3\/8*c**4 - 4*c**2 + 1\/3*c**3 + 0 + 1\/60*c**5. What is r(4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124 and 1922.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0138832902 to four decimal places.\nAnswer: 0.0139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 0)*(-1437)\/(-19160)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 + 41535*g**2 + 1530750*g + 6616000.\nAnswer: 5*(g + 5)*(g + 32)*(g + 8270)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-174)\/5)\/(1 - (-72)\/(-80)). Let z = n + 366. Calculate the smallest common multiple of z and 78.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(24\/(-420)*-7). Solve 4*o - 10*f = -7*f + t, -f + 9 = 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -2 - (-322)\/(-69))*-6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 20 = -5*i, -l + 2*i = -5*l - 8. Solve -7*n = -5*t - 2*n - 20, l = 2*n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.4 + 4. Let m = 0.3 + y. Let n = 41.46 - 40.96. What is the smallest value in n, m, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 15 = -a. Let t be 1\/(-1 - a\/(-22)). Suppose -4*o - 3*w = 0, -5*o = -2*w - 14 - 9. Solve -t = o*r + 1 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.761099 to 1 decimal place.\nAnswer: 17.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5*o + 10 = -6, -x = -4*o + 6. Suppose -3*y - y = -72. What is the greatest common divisor of x and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzfwwkffwfrfzfffrf. What is prob of picking 2 w?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 6*w - 5*c + 22, 0 = -4*w - 2*c + 6. Let l = 1\/9 - -1\/45. Is w less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -84004.11994 + 84076.12. Let u = r + -72. What is u rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 - 64. Let b be (-5)\/j - (-35)\/6. Is 12 a factor of (-5)\/(-45)*b*42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3714.86? (a) 0.3 (b) 5 (c) 2\/9 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/20)\/(-2 + (-36)\/(-20)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/16 + -1)\/(1 - 273\/276). Sort 2, z, -5, -7.\nAnswer: z, -7, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23, -280, -1015, -2468, -4879, -8488?\n\"Answer: -40*v**3 + v**2 + 20*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15554.8 + -14162. Round s to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from {o: 5, i: 5, j: 3}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -33451, -66927, -100415, -133921, -167451?\n\"Answer: -q**3 - 33469*q + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -201102 (base 3) to base 10\nAnswer: -524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 132.4 + -132.3161. Let g = 233.5839 - p. Round g to the nearest 10.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -5*r - 16*r. List the prime factors of r*8156\/(-27) - 6\/27.\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 12:54 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nynnnnyqnnnnnyn. Give prob of sequence ynn.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 245 = -3*j. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-693*p**2 + 2 - 263*p - 683*p**2 + 1373*p**2)*(0 + 0 - 2*p**2) in the form f*p**2 + t*p**4 + l + x*p**3 + d*p and give x.\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence no when two letters picked without replacement from ooioikfokiknnofn?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 + -5 + 2)\/((-3)\/6). Let x be z\/16 + (-22)\/(-4). Solve 7 = -2*c + i, 3*c = -x*i - 7 - 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 - 4*b + 1. Let v(g) = -25*g + 20*g + 4*g. Calculate -d(k) + 6*v(k).\nAnswer: -2*k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3893 - 58397\/15. Which is smaller: d or -0.89?\nAnswer: -0.89","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7384*t - 8 + 2*t**3 + 2*t**2 - 19 + 7384*t + 10*t**2 as d*t**2 + n*t + w + z*t**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence guug when four letters picked without replacement from {i: 1, g: 2, u: 13, a: 1}.\nAnswer: 13\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**3 - 2*k**2 + 43*k - 2. Let b(w) = -6*w**3 - 2*w**2 + 49*w - 3. Determine -6*b(l) + 7*t(l).\nAnswer: l**3 - 2*l**2 + 7*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y - 96 + 2*y + 88. Let c be p(4). Solve -1 = -n + z, 0 = 2*z - 6*z + c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -311003213?\nAnswer: 311003210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h - 666 = -206. What is the greatest common factor of 740 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -5*w + 40, -524*a + 525*a + 5*w - 20 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2760102 and -834.\nAnswer: -2760936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 9*i + 3*i**2 - 25.\nAnswer: 3*i**2 - 9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -84 - (-133 + -35) - (-2 - 2)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -5. Let m = 11.27 - 11. Let i = 3.73 + m. Is i < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/10))**48)**(2\/41) assuming d is positive.\nAnswer: d**(-48\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19601437?\nAnswer: 107, 183191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ieiz when four letters picked without replacement from {e: 4, k: 1, v: 2, i: 2, r: 3, z: 3}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/45 - 2\/19. Let c = -2\/19 - z. Let i = -3 + 4. What is the closest to 0 in 5, i, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 446350?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 2 (b) 4 (c) 30\/23 (d) -5 (e) 293 (f) -0.14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 994425 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 10) in base 11?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.06 (b) -0.4 (c) -42 (d) -0.3 (e) -902 (f) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/80)\/(((-396)\/135)\/(-11)). Let d = -0.3 + 0.2. Which is the closest to d? (a) -5 (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 1052 + 1052 + 16*f.\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 19*d**2 + 4*d + 140. Is 8 a factor of b(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21911 and 6?\nAnswer: 131466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(448)*5 - (-2 + sqrt(252)*6).\nAnswer: 5 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13242 = -3*y - 3*f, -92*f + 87*f = 0. What are the prime factors of y?\nAnswer: 2, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 6*q + 26. What is the lowest common multiple of (-2 - (-29)\/3)*(-9 + 12) and q?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/183 (b) 2\/15 (c) -0.102\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 - 3*q**3 + 4*q**3)*(2*q**2 - 4*q**2 - q**2) + 2103*q + 8898*q**5 - 703*q - 698*q - 702*q.\nAnswer: 8892*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -601163 times -0.112\nAnswer: 67330.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z. Let q(g) = 4*g. Let b be 3*1 + -3 + -2. Let w(s) = b*q(s) - 3*m(s). Let l(j) = -4*j. Calculate w(l(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94463 is divided by 47212?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 2:12 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-25 - -2 - (-7 + 13 - 10))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227806376.\nAnswer: 2, 7, 4067971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 14 + 1 = d, 0 = -5*d + 3*n + 93. What is the greatest common divisor of d and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 553432980 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**2 + 1177360*a - 69308828480.\nAnswer: -5*(a - 117736)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4584187079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 50 = -13*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76 - 49. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -1, 7, 5 in decreasing order.\nAnswer: 7, 5, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 1 + 7)*(-2 - 2*b**3 + 2).\nAnswer: -30*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76 + 78. Which is the second smallest value? (a) 3\/8 (b) -1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 4:07 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -19, -59, 5 in ascending order.\nAnswer: -59, -19, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4838, -9661, -14472, -19271, -24058, -28833?\nAnswer: -33596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of -1\/10*i**5 + 43\/6*i**4 + 18 + 441*i**2 - i - 161*i**3. Factor y(d).\nAnswer: -2*(d - 21)**2*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22623899039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 39*w**2 + 17*w - 657. Calculate a(39).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5 - 6*l**4 - 4*l**3 + 6*l**2 + 5*l = 0. Calculate l.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 45 and 0.037.\nAnswer: 45.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2159075 divided by -5\nAnswer: 431815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -41, -4 in descending order.\nAnswer: 1, -1, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -1 - 12*q + 3 - q**3 - 11180*q**2 + 11171*q**2. What is f(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = b - 2*c + 5, 5*b - 18 = -3*c. Solve k = -b*n - 6, -5*k + 21 - 9 = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(-25) - (-94)\/10. Suppose g = k - 2. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -5*r - 220. Let i be r\/(-9) - (-2)\/(-9). Let s(v) = v. List the prime factors of s(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2744 and 1218023184.\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvqvvkvxvivivvvigvi. Give prob of sequence gx.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2 = 7. Let q = z - -5. Suppose 0 = 3*y - q*y + 633. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1134 + -452. Suppose 0*d + 4*d - 12 = 0. Suppose -d*l = 49 - b. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 30\/(1 + 0) + -1. Let h be 6\/27 - c\/9. Let y(x) = -4*x**2 + 5*x**2 + 2*x + 2*x. What is y(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(70) + sqrt(70))\/sqrt(10) + 2 + sqrt(7)*2 + 1)**2 - (sqrt(70)\/sqrt(180) + sqrt(14))\/sqrt(2)*-5.\nAnswer: 179*sqrt(7)\/6 + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 333 = j. Let d be (-4)\/6 - (6 - (-104)\/(-12)). Suppose -d*x - j = -5*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4515 and 119.\nAnswer: 76755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - a**2 - a. Let u(c) = 3*c**3 - 6*c**2 - 6*c. Let w(r) = -u(r) + 6*z(r). Let d(q) = -7*q**3 - q. Suppose 4*g - 4 = 2*g. What is g*d(i) + 5*w(i)?\nAnswer: i**3 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 2) + 3 + (-3 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9\/1323*6\/6*6*(-119)\/(-34)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5.393023us?\nAnswer: 5393.023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 12*m = -12, 5*m + 20 = 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 618990 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(-6))\/(7876\/165396)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14175, 28305, 42415, 56505, 70575, 84625?\n\"Answer: -10*k**2 + 14160*k + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*v = -19757, 2*d + 25*v = 26*v + 19745. What is the thousands digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28 - 218*d - 743*d + 136 - 98*d wrt d?\nAnswer: -1059","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -202501070*f**2 + 190581187*f?\nAnswer: -405002140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2676837, 2676998, 2677159, 2677320, 2677481?\n\"Answer: 161*r + 2676676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 169 - 121. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-2241)\/27*(-12)\/4))\/(5\/15)?\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 447876*u - 116*u**2 - 26 + 447876*u.\nAnswer: -116*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -0*o + 3*g - 19, 2*o - 4*g + 8 = 0. Suppose -d + 42 = d. Suppose -o*i = -i - d. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 29868.\nAnswer: 29868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 238, -3, 20 in ascending order.\nAnswer: -3, -2, 20, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -382447097\/108540 + 5476\/5427. Let u = 3517 + a. What is the common denominator of 754\/140 + (54\/(-5))\/18 and u?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 12*l + 13. Let a be h(13). Let m(o) = -o**3 - o**2 + o + 15. What is m(a)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91825878 by 15304313.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c = -19*c + 1420. Let d = c - -281. Let w(a) = 4*a**2 + 3*a - 4. Give w(d).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -394 + 150. Suppose 15209 - 81 = 62*g. Let n(q) = -g*q**2 + m*q**2 + q**3 - 3 - q. Calculate n(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*y**2 - 14*y**2 + 35*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 242*z**7\/105 - 245*z**3\/6 - 2*z**2 + 19. Differentiate v(w) wrt w.\nAnswer: 1936*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, t: 2}. Give prob of picking 2 q.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 162 (b) 79 (c) -2\/7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 8 + 4)*(2 + 1 - 2)*(-2 + n + 2).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 m when two letters picked without replacement from {g: 1, z: 8, m: 11}?\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 6*z + 21. Give o(8).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31209709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -918*t = -914*t - 56. Calculate the least common multiple of t and 2026.\nAnswer: 14182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1545*i + 29814 = 788*i + 4010*i - 90703 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1652, -2598, -3544, -4490, -5436, -6382?\n\"Answer: -946*l - 706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3739792 divided by 4.\nAnswer: -934948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 46452293 to the power of 1\/2, to the nearest integer?\nAnswer: 6816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + -112?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 13*t + 30. Which is the second smallest value? (a) t (b) -13 (c) 0 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 3*q + 16, q + 4*q - 10 = 0. What is the first derivative of 3*g - 2*g + 0 - 3*g + p wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -559*b + 2368. What is z(4)?\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 184718160 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 5 - 3)*(-k**2 + 0*k**2 + 3*k**2).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -437*a - 3433. Let o be y(-8). What is the greatest common divisor of 1561 and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-704)\/(-88))\/(1*-2))\/14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6920 and 76120.\nAnswer: 76120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*((-17)\/187)\/(5\/(-165)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 14 - 2)*(548*x + 173*x - 84*x)*(0 + 0 - 1) as u + a*x and give a.\nAnswer: 8281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26335 by -5.\nAnswer: 5267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*y + 614 = 120 + 440 - 2664 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.5834 - -3.78. Round g to two decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvr when three letters picked without replacement from vlmrkaa?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19 - 989?\nAnswer: -970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - k + 0)*(4*k**2 + 0*k**2 - 2*k**2) + 3*k**3 + k**3 - 3*k**3 + 2*k**3 - 6*k**3 + 2*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**2 - 16858*g**3 - 2*g + 16506*g**3 + 0*g**2 + (-3*g**3 + 4*g**3 - 3*g**3)*(0 + 6 - 4).\nAnswer: -356*g**3 + 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 79478554 to the power of 1\/2, to the nearest integer?\nAnswer: 8915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*g = -44 - 21, 4*z = -g - 40. Let v be (-1)\/(z\/24)*9. Let p be (2 + 10\/(-8))*v. Solve -3*y + 8*y + 6 = 3*d, -5*d - y - p = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6 + 13 + 61*u - 46*u - 4*u**2 + 0*u**2. Calculate the remainder when c(4) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132 (base 4) to base 6\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 464.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-1\/4))\/p*p**7)\/((p\/(p**7\/p))\/p**(-1\/9)))\/((p\/(p*p**1*p))**(-8\/9)\/((p*(p\/p**(-2\/11))\/p*p)\/p**(1\/4))) assuming p is positive.\nAnswer: p**(2335\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (69\/(-23))\/(130\/(-312)*(288\/460)\/(-8))?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -4*b - 41, -3*d + 19 = -b - 0*d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a. Let g(h) = h**3 - h**2 + 3. Let q be g(0). Let y(i) = -i**2 - q*i**2 + 6*i + 6*i**2 - 1. Calculate 6*k(p) - y(p).\nAnswer: -2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9\/331177, 0.9 in ascending order.\nAnswer: 9\/331177, 0.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.00498977 + -0.12501085. Let h = -0.13 - w. What is h rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 109\/5, -2\/11, 1\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 94784 - -51008983?\nAnswer: 51103767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.15 + -0.6. Let r = 0.046 + -0.506. Let q = r + j. Round q to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/50436 and -71\/828.\nAnswer: 1160028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2699*a + 5401*a - 3 - 2700*a.\nAnswer: 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 54288 - 54295 = 3*s - 3*a, 39 = 3*s + 3*a for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 61825.16 grams?\nAnswer: 61.82516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -3*b - 24. Let p(w) = -w**2 + 10*w - 9. Let o be p(b). Let t = 40 - o. Does 19 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-3\/4)*r**(-16))\/(r**(4\/3)*((r*r*r*r**(29\/4)\/r*r)\/r)\/r))**(-18) assuming r is positive.\nAnswer: r**474","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-16 - ((67 - 28) + 26)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ijlillijlliilji. Give prob of picking 4 l.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (222 + 684 + 349)*(d**2 - 5*d**2 + 0*d**2)*(2*d - d - 2*d).\nAnswer: 5020*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 833 and 6426?\nAnswer: 44982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.39770896 to 4 dps.\nAnswer: 0.3977","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1386 divided by -21\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**3 + 6*l**3 - l + 28*l**2 - 8*l**3 - l in the form f*l**2 + y*l**3 + d + i*l and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -8*a**3\/15 + 718*a**2\/5 + 108*a = 0.\nAnswer: -3\/4, 0, 270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/25))**4)**(-6) assuming u is positive.\nAnswer: u**(-48\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*i + 2*i = -13, -5 = 5*a + 3*i. Let t(o) = o - 12. Let c(d) = -2*d + 22. Let f(z) = a*c(z) - 7*t(z). Let h be ((-3)\/(-9))\/(3\/54). Calculate f(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61286*w**3 - 3*w**2 + 18662*w?\nAnswer: -367716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, -2, 2\/5 in ascending order.\nAnswer: -19, -2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 21940.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/7*(1 + -8). Let v be (-264)\/t*(-5)\/2. Let o = 341 + -143. Calculate the highest common divisor of o and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (236 - 146)\/(1\/2) is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 5, 550 in decreasing order.\nAnswer: 550, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 6*s**2 + 4*s + 2. Let y be p(-5). Suppose y = a + 5. Let d(c) = c**2 + 0*c**a + 5*c**2 - 2*c**2. Let j(v) = v. What is j(d(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/3 - 2\/9*c**2 - 52\/9*c.\nAnswer: -2*(c + 2)*(c + 24)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aq when two letters picked without replacement from aakkqaananqa.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 2*x - 4. Let m = x + 2. Let k(c) = -c**3 + 6*c**2 - 4*c. Let j be k(m). Solve 0 = 4*r - 5*p - j, 3*r - 13 = -5*p + 9*p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298073321?\nAnswer: 7, 13, 41, 101, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(19) + -1*sqrt(19)))**2 + -4*-2*sqrt(19).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 + 61*x + 10. What is g(-30)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 77.25382 nanometers?\nAnswer: 0.000007725382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*r = -2*j - 13, 4*r = 4*j - 16. Let m be -3 + 87\/(-12) + 3. Let g = m - r. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5236, 20134, 44964, 79726, 124420, 179046, 243604?\nAnswer: 318094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 6 + 3)*(z + 0*z + 6*z)*(30*z**2 - 850*z + 850*z) + (2 - 1 - 3)*(0*z + 0*z + 3*z**3) to j*z**2 + c*z**3 + o*z + i and give c.\nAnswer: 1464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.3 - -5. Let n = -0.1012 + -0.8978. Let l = n - 0.001. Which is the second smallest value? (a) y (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2162 - -2156. What is the fourth biggest value in 5, -4\/15, -0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 960*t - 38414. Determine m(40).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 1985 = 1296. Let o = -19549\/6 + c. Let w = o - 521\/24. Find the common denominator of -61\/15 and w.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 161 and 111251?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 17*j**7\/210 + 2*j**3 - 3*j**2 + 8. Let k(o) be the second derivative of h(o). Differentiate k(v) wrt v.\nAnswer: 68*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1443 is divided by 55?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkucqvvk. Give prob of sequence cv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70353999.\nAnswer: 3, 7817111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 10. Let c be (-20)\/(-2)*(-18)\/j. Solve 2*q = -0*g + 4*g - c, q = 3*g - 9 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18407.655 seconds in days?\nAnswer: 0.2130515625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -2*s - 12, -1305 = -5*s + i - 1328 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1 - 7 = 0. Let y(a) be the second derivative of a**4\/12 - 5*a**3\/6 + a**2\/2 + 139*a - 1. Is y(u) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-27))**(1\/25)*(q\/q**(-50))**(1\/4) assuming q is positive.\nAnswer: q**(1387\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(4\/9)\/((-1924)\/(-53391))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - 0) + (8 + 0 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -78*f**4 - 315*f**3 + 2172*f**2 - 2412*f - 96 = 0.\nAnswer: -8, -1\/26, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(5 - (0 - (-1 - -1))). Let f = 6 + t. Calculate the greatest common factor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w - 6. Let c be h(-7). Let q = -15 - c. Let z(b) = 2 + 4 - q - 2*b. Give z(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545 smaller than 1546?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 2 + 6\/(-2). Suppose 3*r**m - 3715*r + 3725*r + 3*r**2 - r**2 = 0. What is r?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 873859452*v**2 + 786539283.\nAnswer: 1747718904*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -1010?\nAnswer: 1010","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, 4\/5, 0.035?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -2*r**3 + 7*r**2 - 5*r + 20. Let h(s) = -2*s**2 + 5*s - 2. What is -11*h(g) + 4*i(g)?\nAnswer: -2*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(720) + 0 + 0 - (sqrt(720) - (1 + (sqrt(720)*-2 - sqrt(720)) - sqrt(720))**2 - (sqrt(720) - (3*sqrt(720)*1 + sqrt(720)))**2)) + 0.\nAnswer: -96*sqrt(5) + 17998","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 605, 2252, 4993, 8822, 13733?\nAnswer: 19720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11518040?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 10. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-6))\/((-14)\/21). Let z be n\/6 + (-42)\/18. Let q be 4\/z - (-482986)\/(-7). What is q rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2)*(1 - 2*i - 1) - 2*i + 0*i - i + i - 70 + 70 in the form n + d*i and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiippipppp. What is prob of picking 2 i and 2 p?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/33 and -81\/4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 202.777 kilograms in milligrams?\nAnswer: 202777000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-24) - 10\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -17*f**3 + 5*f**2 - f - 39. Let n be h(5). Is -2046 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9\/5 + -13\/10. Let i(u) be the second derivative of -s*u**2 - 2*u + 0 + 1\/3*u**3. Differentiate i(h) with respect to h.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 12335*u**2 - 57. Let r(f) = -49340*f**2 + 242. What is -17*m(n) - 4*r(n)?\nAnswer: -12335*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-48)\/(-15))\/((-4)\/10). Let m be (-108035)\/(-124) + 2\/(p\/(-3)). What is x in 0*x**3 + 2*x - m*x**2 + 868*x**2 + 2*x**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1470717851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 872.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 1233 = -c. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkwkwwwwyhwwkhwhhkkw. Give prob of sequence hk.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -81681725 plus 1?\nAnswer: -81681724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*32\/5104*30\/(-10).\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*f**5 + 2*f**5 + 23*f**5 + (2*f**3 - f**3 - 2*f**3)*(-2*f**2 + f - f) + (2*f**2 - 2 + 2)*(1 + f**3 - 1).\nAnswer: 45*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*f + 664 = 2*j, -4*j = 2*f - 1328. Suppose 0 = -2*b + j - 32. Is b a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 90 = -5*f. Let n be f\/12 - (-1)\/4. Let d = 6 + n. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100111111011111101 (base 2) to base 15.\nAnswer: 8621a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -308 + 321. Let m be 0 - -12 - (-2)\/2. Let n = m - s. What is n rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 292 by -35.\nAnswer: -292\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 124 and -19.1221526006.\nAnswer: 104.8778473994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 - 107*f - 51. What is r(-53)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10225 is divided by 732?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 31.9033.\nAnswer: -95.7099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 37*b**2 - 48*b + 52. Is t(34) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68702 a multiple of 334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkeeeevrkkkvekbbvk. What is prob of sequence kerr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/10 - 2\/5. Let q = -339.6 + 343.6. What is the nearest to h in -1, q, 0.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, 0, 1, -1, 11 in increasing order.\nAnswer: -1, 0, 1, 11, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 540, 318, 104, -102, -300, -490, -672?\nAnswer: -846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6558, -13063, -19568, -26073, -32578?\nAnswer: -39083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p - 4*p + 3*p)*(2*p**2 - 6*p**2 + 2*p**2) + 14532 - 17*p**3 + 4*p - 53*p**3 - 14530 to the form m*p + c*p**2 + s*p**3 + t and give s.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 164, 0, 2.1, -34.9 in decreasing order.\nAnswer: 164, 2.1, 0, -34.9, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 - 38.98. Let y = -1.09 + r. What is the nearest to -0.1 in 0.2, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -193 (b) -199 (c) -1\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*v**3 + 334 - 378*v + 40*v**3 + 0*v - 6*v**3 with respect to v.\nAnswer: 3*v**2 - 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-91)\/(-10))\/(-122*133\/32452)\nAnswer: -91\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -49*c**3 + 4*c**2 - 4*c + 1. Let o be q(1). Calculate the common denominator of (-6)\/o - 141\/60 and 1\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5800000 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 45*f**2 + 45*f**2 - 88*f**2. Let s(t) = 3*t**2 - 5*t**2 + 0*t**2. Determine s(g(q)).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 96. Let v be g(0). What is the units digit of ((-15)\/(-20))\/((-2)\/v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkd when three letters picked without replacement from dkxdkxxkddkxkxxkkkkk?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 - -74. Suppose 5 = x*k - 2*k. What is c in 0*c**3 + 0*c - 2\/5*c**4 + 0*c**2 + 2\/5*c**k + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**2 - s**2 + 4*s**2)*(0 - 1 - 1)*(14*s**3 + 17*s**3 - 15*s**3).\nAnswer: 64*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - ((-8)\/4 - 59). Calculate the highest common divisor of v and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45440 by -10.\nAnswer: -4544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0052327686 to 6 decimal places.\nAnswer: -0.005233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - 18. Let f be 15\/((-525)\/(-14))*1\/(12\/20). Which is the nearest to f? (a) -0.2 (b) -1\/11 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1439125 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2 + 11*s - 9 + 1. Is j(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/o**8*o**(-5)\/o assuming o is positive.\nAnswer: o**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -477 - 687. What is the derivative of -50 - q*o + 178*o + 149*o wrt o?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/((-11400)\/16)*(-24)\/(-8).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2011, 15489, 52067, 123295, 240723, 415901, 660379, 985707?\nAnswer: 1403435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 6*z = -4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 - 5*i + 5. Let f(l) be the first derivative of 4 + l**2 - 2*l - 1\/3*l**3. Let z(g) = 10*f(g) + 4*u(g). Let m(o) = -5*o. Give m(z(b)).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 12. Suppose 5*q + 15 = 5*w, l = 3*q + 2*w - 12. Suppose -2*j = q*y - 0*y - 114, -5*y - j = -297. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of c**6\/180 - c**5\/30 - 13*c**4\/36 + 5*c**3\/3 + 981*c**2. What is t in m(t) = 0?\nAnswer: -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 991928.\nAnswer: 4959640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-40)*(6 - -2 - 9). Put t, 0.5, 1, -4 in descending order.\nAnswer: 1, 0.5, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 353272?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 1130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3678.63 - 3697. Let l = 3.15 + q. Let f = -15 - l. Round f to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91909342?\nAnswer: 2, 7, 769, 8537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 6*h - h)*(358 + 4*h - 7*h - 360) - 3*h**2 + 4*h**2 + 0*h**2 - 4*h + 5*h**2 + 4*h + (-h + 2*h + 0*h)*(4 - 2*h - 4).\nAnswer: h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2 + v. Let k be h(-1). Find the common denominator of 15432\/20976 - 2\/19 and (59\/(-16) + 2)\/k.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/54*(-1704)\/1988?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -43, 154, -8\/309?\nAnswer: -8\/309","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 greater than 288?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**5\/8 - 351*q**4\/8 - 1230*q**3 + 2727*q**2\/2 + 2550*q = 0. What is q?\nAnswer: -68, -50, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170987, -171026, -171055, -171068, -171059, -171022, -170951?\nAnswer: -170840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2330769*d**2. Let k(n) = n. Determine a(k(t)).\nAnswer: -2330769*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(10\/7))\/(((-221)\/130)\/(-17)*-2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(12)\/(sqrt(6)*1)) + 5.\nAnswer: sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22618.31 - 22209. Round i to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-7) + (8288\/(-98))\/(-37).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**2 - 19*t - 12. Let n be g(-9). Suppose 5*v + 0*v + 10 = 0. Let d = v - n. Solve -4*c - 11 - d = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 5*c**2 + 13*c - 2. Let h be x(-7). Solve -4 = 3*z - h*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1\/13 + (-240)\/(-546)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4231.785 millimeters to centimeters.\nAnswer: 423.1785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 325685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3097119 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 15) in base 13?\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 30912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1, -228998, 0.06, 1\/4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(225)\/(2*sqrt(5)*3))\/(6*(sqrt(9) - (sqrt(9) - 4*sqrt(9))) - sqrt(54)\/sqrt(6)*-6).\nAnswer: sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -145456866*q + 170750935.\nAnswer: -145456866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/3 and 23\/7099.\nAnswer: 21297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6100*q = -6104*q + 3*b - 7, 0 = -4*q - 2*b - 22 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1556.998567 + -1557. Round y to 4 decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98\/(18 - (-8)\/(-18)*36)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 1:35 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 5:16 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + sqrt(468) + sqrt(468)*2 - (sqrt(13) + (sqrt(13) + sqrt(13)*-1)*1))**2 + (4 + sqrt(26)\/sqrt(2))**2 + sqrt(117)\/(sqrt(36)\/sqrt(4)))*-4.\nAnswer: -16964 - 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 4:41 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.15*-0.176.\nAnswer: 0.0264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11547, 11545, 11541, 11535, 11527, 11517?\nAnswer: 11505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-4 - -8) + -20 + 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143248457.\nAnswer: 11, 13022587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 AM and 4:30 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 840657348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/67 (b) 25 (c) -2 (d) 3.95 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9533 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-22)\/(-4))\/(1\/(-2)). Let g = 33 - q. Suppose -4*s + g = 4*y, 0*y + 5*s = -2*y + 34. Calculate the smallest common multiple of y and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249659*a - 6600 = -249549*a for a.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 3:12 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 32, 145, 336, 605, 952, 1377, 1880?\n\"Answer: 39*o**2 - 4*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9561093.\nAnswer: 3, 43, 137, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64.9999962 - -65. What is i rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8319, 41553, 96943, 174489, 274191, 396049?\n\"Answer: 11078*n**2 - 2759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 7. Let n = 101 - 96. Let v be -1*(-4 + n) - -4. Solve 3*j - 4 = -t*l, -4*j = v*l - 6*l + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/103 + -99\/206. Which is the closest to 0? (a) 4 (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 - 12*m + 8. Let y be g(-12). Suppose 255 + 121 = y*d. What is the remainder when d is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -284, 0.09, 4 in ascending order.\nAnswer: -284, 0.09, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 320 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a year in months?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 24*q + 49. Let p be u(22). Solve -h = -0*h - p for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8120 divided by -4\nAnswer: 2030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 271, 579, 913, 1273?\n\"Answer: 13*v**2 + 269*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1395, -1374, -1349, -1326, -1311, -1310, -1329, -1374?\nAnswer: -1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 867?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6878 or 6305?\nAnswer: 6305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - (29 - (-6 + 10))) + 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3027583 to the power of 1\/2, to the nearest integer?\nAnswer: 1740","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39.1 - 38. What is m rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (-3 - 18) - 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 559 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 8995*x - 515954. Determine n(-57).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -151.34 + -1.66. Let g = -77.73359732 + -75.2664019. Let a = g - l. Round a to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23319797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 925 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27)\/(-12)*((-256)\/24)\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/407704 and -71\/19712?\nAnswer: 91325696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 20*b**2 + 36*b + 2. Let g be t(-18). Suppose -14*v - g*n = -10*v - 3962, 4*v + 3*n = 3963. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 307753 and 90131.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 29, -21 in ascending order.\nAnswer: -21, -4, -3, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57378.27 meters to nanometers.\nAnswer: 57378270000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/77 - (-128)\/42 - 4. Put 0.4, o, 0, 6 in increasing order.\nAnswer: o, 0, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 978 is divided by 319.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.114306223 rounded to four decimal places?\nAnswer: -0.1143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1289 or 5612?\nAnswer: 5612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.5, 2, -1, 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.22768 + -1258.63768. Let j = -1264 - s. What is j rounded to 1 dp?\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + o, o = 5*v - o. Solve 3*s - 5*t = 10, v = -5*s + 4*t + t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/258 - 10\/215. Solve v = -5*q + 99*h - 94*h - 10, 3*h - 6 = -5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 2*v**2. Let h = 8 + -6. Let w be 9 - 6 - (-1 + 2). Let u(r) = -2*r**h - 2*r**w - 4*r**2. What is o(u(x))?\nAnswer: 128*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m**2 + 18*m + 5. Let j be ((-1)\/(-2))\/(2 - (-19)\/(-10)). Let q be o(j). Let b = 75 - q. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -40.235739 to two dps.\nAnswer: -40.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**7*k*k*k**(-3\/4)\/k)\/(k**(-1))**(-17\/2) assuming k is positive.\nAnswer: k**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 4*i + 10. Let c be 5\/(3 + -1 - (19 - 16)). Let v be p(c). Factor -3\/5*y**4 + 0 + 0*y**2 + 0*y + 1\/5*y**v + 2\/5*y**3.\nAnswer: y**3*(y - 2)*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**5\/20 + 8*n**4\/3 - 128*n**3\/3 + 160*n. Factor c(h).\nAnswer: -h*(h - 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33296 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (7*130\/(-1001))\/(24\/22)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2. Let j(h) = h - 3. Let i(b) be the second derivative of 0 - 7\/2*b**2 + 1\/3*b**3 - b. Let p(s) = 3*i(s) - 7*j(s). What is p(f(n))?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 18*c - 10. Let d be k(2). Suppose -4*x = -4*o + d + 6, o + 4*x + 12 = 0. Solve -4*t = o - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97306559 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) - (sqrt(605)*-2)**2) + sqrt(20)\/(1*sqrt(4)).\nAnswer: -2420 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 2*v - 1. Let a be b(1). Find the third derivative of 8*l**2 - 5*l**2 + 2*l - 3*l**6 - a*l wrt l.\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2 + 10*a + 3. Let y be s(-5). Let t be y\/(-6) + (-51)\/(-6) + 0. Suppose -t*n = -14*n + 450. What is the remainder when n is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -2\/3, -2\/7, 2\/5, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -13 (c) -0.5 (d) 5 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-184)\/23) + -9 + 1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -55617 (base 8) in base 10?\nAnswer: -23439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 - 40 = -11*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 123, 274, 485, 756, 1087?\nAnswer: 1478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 741?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-2)*(30\/9)\/(-5). Let a be (-1 - 1) + (-106)\/(-56). Let w = a + 1\/4. Sort w, s, 0 in descending order.\nAnswer: s, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + r + 0 - 7*r + 2 + 37*r + (-1 + 1 + r)*(35 + 44 - 23).\nAnswer: 87*r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5*h**2 - 3240*h - 6460 = 0.\nAnswer: -646, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0165 + -452.0165. Let g = f + 447. Let d = 1 + -1.1. Which is the closest to d? (a) g (b) 0 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2212.\nAnswer: 2, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11364 (b) -36\/13 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 6891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 + 2*v + 199. Suppose 11*x - 16*x = 95. Let f = -8 - x. Calculate the lowest common multiple of y(-13) and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56700 divided by 7?\nAnswer: -8100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = f - 14, 2*y - f - f = 8. Let r be 2050 + 4\/6 + y\/18. Suppose -4*h - r = -0*o - 5*o, 3*o - 4*h = 1237. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 6. Suppose -5*s - o - 76 = -5*v, 2*v - 5*s = 26. Suppose 0 = -0*f + f - v. Solve 5*q = -3*k + f, 5*q + 0*k - 19 = -4*k for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/487 - -1885\/30681. Calculate the common denominator of j and -29\/153.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*i + 93*i - 6 = s, 5*s + 56 = -i for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -4. Suppose o*w + 2 = w. Suppose 6*a - 8 = w*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 0*t + 0*t)*(2*t - 2*t**4 - 2*t) - 2*t + 3*t**5 + 2*t + (72*t**3 - 72*t**3 + 10*t**4)*(-2*t + 0 + 0) + 2 + 3*t**5 + 3*t**5 - 5*t**5.\nAnswer: -20*t**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109486.\nAnswer: 2, 13, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16830)\/385 + 56)\/((-4)\/14).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4198 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*w + 1 = -12, w + 7 = v. Calculate the lowest common multiple of v and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 11.3. Let l = h - -0.3. Let o = 20303 - 20307. Which is the biggest value? (a) l (b) o (c) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 32 + -20?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*b = -158*b - 5*i - 11, 0 = 5*i + 15 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -1 + (20 - -1 - (648 + -660))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3228)\/(-11836)*(-330)\/(-72).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -493, -49, 429, 941, 1487?\n\"Answer: 17*r**2 + 393*r - 903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 3*m - 1. Let c(q) = 8*q**2 - 23*q - 9. Calculate -6*b(n) - c(n).\nAnswer: -2*n**2 + 5*n + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express j**2 + 0*j**2 - 4*j**2 - 20*j**2 - 6*j**2 + 73*j**2 + (-3 + 3 + 1)*(-j**2 + 4*j**2 - 5*j**2) as l*j + r*j**2 + i and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 18*r**2 + 12*r - 16. Let k be h(-19). Let p = 121 - k. Solve 4*u - c = -2, -p*u = 2*c + 3*c + 14 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**5\/15 + v**2\/2 + 16*v. Let c(n) be the first derivative of a(n). Let f(t) = 13*t. What is f(c(d))?\nAnswer: -52*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 3*m = 32, -8874*h - 3*m - 18 = -8877*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 20772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/4)\/((-15)\/(-30)). Suppose 0 = 3*g - j*t + 3, 3*t = -g + 8*t - 13. Calculate the greatest common divisor of 5 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**2 + 40*s + 444. Determine g(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7186.7702 rounded to the nearest one hundred?\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r + 3*r**3 - 5*r + (-11935 + 741*r**2 + 11935)*(1 - r - 1) to l*r**3 + w*r**2 + p*r + j and give l.\nAnswer: -738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 611*g + 17882. Determine b(-29).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wbb when three letters picked without replacement from {c: 1, w: 1, j: 2, b: 3, s: 7}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 12 = -2*f. Let c(o) = -1 + o**2 + 8*o**2 - 31*o - 3*o + 3. Calculate the remainder when c(4) is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2177882 = 2177848?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a microgram in nanograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3 - 136\/(-24). Let j = 13 - 11. Solve 0*n - i = -j*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = a - 6, -z - z + 12 = -a. Let i(h) = -2*h**3 - 5*h**2 - h - 4. Is i(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 539 and 105611.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/(o*o**(-9))*o*o*o**(-11)*o)**(-37)*(((o\/(o**(1\/15)\/o))\/o)\/o**(-1\/8))**(2\/9) assuming o is positive.\nAnswer: o**(-59813\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -4\/9 (c) 6.4 (d) 1\/17 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -350*s + 70. Let h(o) = -59*o + 12. Let r(b) = -35*h(b) + 6*p(b). Let w(j) = -16*j**2. Give r(w(y)).\nAnswer: 560*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -76 (base 11) to base 3\nAnswer: -10002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348768 is divided by 174375.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 9:12 PM?\nAnswer: 11:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + -3 + 36 + 2. What is the highest common divisor of 57 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 3. Let m be (3 + q)\/(3 - 1). Suppose -m - 5 = -2*i. Solve 0 = -3*g - i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-5 + 5 + 1 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + -12. Let t = y - -17. What is the smallest value in t, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/((1 - 1) + 2). Calculate the remainder when u - (-2 + 3)*-26 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 12*t**2 - 3*t + 40. Let q be p(12). Find the third derivative of -6*h + 8*h + 7*h**6 + q*h**2 + 52*h**6 wrt h.\nAnswer: 7080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -1. Let a(q) = 4*q**2. Let p(j) = -5*j**2 - 3*j**2 + 4*j**2 - j**2. Let s(f) = h*a(f) - 3*p(f). Let d(m) = m**2. Give s(d(y)).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j + 9. Let x be v(3). Suppose 88 = 2*r + x*r. Suppose -3*d = 4*z - 347, 2*d + 3*z - 69 = 161. Calculate the greatest common divisor of d and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 14, c: 3, r: 1, x: 1, f: 1}. What is prob of sequence crcf?\nAnswer: 1\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 691 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9284 - -3\nAnswer: -9281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -8. Suppose o - 27 - 14 = -x*d, -5*d + 67 = -4*o. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32425?\nAnswer: 5, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5671760 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of t**2\/2 + 5*t + 271. Calculate k(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*h**2 - 4*h**2 + 7*h**2 + 2*h**2.\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3 + 4*p - 5 + 6*p**2 - p**3 + 0*p**2. Is 8 a factor of z(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2 (c) -4 (d) -2\/85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 606 and 202606.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*w**2 - 148*w + 30.\nAnswer: -2*(w + 15)*(5*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15600 divided by -20.\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000187730567 to seven decimal places.\nAnswer: -0.0001877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 341 (c) -2\/5 (d) -0.06 (e) -5 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43106227889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/6)\/(10\/(-105)). Let h(a) = -a + 9. Let b be h(r). Find the third derivative of -11*v**2 + 2*v**2 + 6*v**6 - v**b + 2*v**2 wrt v.\nAnswer: 720*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 16 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzxzzzvzmznz. What is prob of picking 1 v, 1 x, and 1 n?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12\/61 - -58\/915. Let m(k) = -k - 13. Let r be m(-17). Suppose 3*g = 7*g + r. Which is the nearest to 0.1? (a) 4 (b) f (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/25 and 1\/(-5)*140\/50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 298, 1315, 3018, 5413, 8506, 12303?\n\"Answer: p**3 + 337*p**2 - p - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 1) + 4 - (-26 - -33).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 12:33 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 11*o**2 - 10*o + 11. Let d be v(-12). Let i = 13 + d. Suppose t + t + 4*y - 54 = i, -t + 30 = 3*y. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + -614a0?\nAnswer: -614a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -70353\/2 > -35177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 315 + -547670?\nAnswer: -547353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -11.0746.\nAnswer: -1.10746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 7:31 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-12)*(-3)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h + 3*h + 32. Which is smaller: h or 10?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of 8*k + 0 - 7\/24*k**4 - 5*k**2 + 44\/3*k**3. Differentiate m(u) wrt u.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {i: 1, d: 1, f: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 542.482 - 542. What is y rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*c**2 + c**3 - 4*c**2 + 2289*c**4 - 2287*c**4 + 2*c to the form w*c**4 + t + u*c**2 + r*c**3 + z*c and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -22. Suppose 6 = 6*l - j*l, -2*p - 4*l = -66. Suppose -2*g = 4*d - 110, -g + 51 = 3*d - p. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236028 = -19*o - 19219. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -322*f + 322*f - 6*f**2. Suppose -12*l + 17*l = 330. Let p(d) = -l*d + d**2 + 66*d. Determine p(s(r)).\nAnswer: 36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 11844*i = -11842*i, 0 = -5*z - 5*i + 30 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -9*x + 2. Suppose 4*o - 117*o = -659 - 19. Let a(h) = 8*h - 2. Calculate o*a(n) + 5*b(n).\nAnswer: 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 8*f**2 - 9*f + 6. Let v be b(-7). Suppose 9*p - 4*p - v = 0. Suppose -p*a - 2*a = -72. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-1377923.\nAnswer: 4133769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52227783?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwomwosswwfttf. Give prob of picking 2 s.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-76)\/(-8) - 4) + (-93990)\/2892.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 q, and 1 t when three letters picked without replacement from {u: 1, q: 4, d: 1, t: 8, z: 3}.\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m**3 - 3*m - 3. Let p = 18 + -21. Let w(l) = l**5 + 2*l**3 - 3*l - 4. Let j(o) = p*w(o) + 4*k(o). Suppose j(c) = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -321\/8, -1\/2, -3, 0.1875 in ascending order.\nAnswer: -321\/8, -3, -1\/2, 0.1875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1710 + -1619 + 0 + 11?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4219\/4 - 7395\/7. Calculate the common denominator of m and 13\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/360 and -49\/192.\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -59, -120, -171, -206, -219?\n\"Answer: x**3 - x**2 - 65*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 + -14. Let s(q) = y*q**2 + q - q - 56*q**2. Let b(n) be the first derivative of 11*n**3 - 9. Calculate b(s(l)).\nAnswer: 33*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1108 + -1107. Calculate the highest common divisor of 109 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-2))\/(-5 + 2). Let l = -21 - -26. Which is the nearest to v? (a) l (b) -5 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = u. Solve 5*g = -u*g + 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4257376 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 365 - 515. Is (-209640)\/h + (-3)\/5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -29*z + 1286. Calculate d(46).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62405 and 245.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/160 and -51\/23104?\nAnswer: 115520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -0.5 (c) 48 (d) -24 (e) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*w - 1228 = -4*z, 2*w + 2*z + 82 = 24 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -48\/5, -4, 109?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 85. Suppose -3*v + 49 = 10. What is the remainder when s(-22) is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + 6*-4*sqrt(130))\/(sqrt(120)\/sqrt(588) + sqrt(10)).\nAnswer: -161*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 661\/10 - 66. Let t be (-35)\/56*(-4)\/10. Sort t, q, 0.2 in decreasing order.\nAnswer: t, 0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 + -23. Let j = s + 250. Suppose 0 = -2*w + j - 59. List the prime factors of w.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**6\/120 - g**4\/24 - g**3\/6 + 89*g**2 - 3*g. Let c(x) = -6*x**3 + 3*x + 4. What is -c(b) - 5*w(b)?\nAnswer: b**3 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 4:17 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96746370 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8, -10, -12, -14, -16?\n\"Answer: -2*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 91, 326, 713, 1252, 1943?\n\"Answer: 76*c**2 + 7*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 15) to base 9\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((0 - -1)\/(-7))\/1. Let n = -3.2 + 3.5. Which is the nearest to 0? (a) 1 (b) n (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - -9 - (555 - 551). Let z(a) = a**2 - a. Let g(c) = 9*c**2 - 8*c - 5. What is s*z(v) - g(v)?\nAnswer: -3*v**2 + 2*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 1842763?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 8, -4*q = -3*z + 6 + 8. Put -1, z, -2 in increasing order.\nAnswer: -2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3508135?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1914 and 174378.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmj when three letters picked without replacement from {m: 3, f: 4, j: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14781807 is divided by 69.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -97303.649 rounded to the nearest ten?\nAnswer: -97300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -11. Let v = 10 - u. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3 - b**2 - 14*b + 24 = 0. What is b?\nAnswer: -4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 - 22*c - 52. What is q(14)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -383*s + 389*s - 895038 = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 10 (c) -1\/2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/96717 - -96910412\/1063887. Let o = u + -91. Let d = -0.5 - -1. Put o, 1\/3, d in descending order.\nAnswer: d, 1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1025814 divided by 11526?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is -c66 (base 15) in base 7?\nAnswer: -11103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 = -2*r + w, 0 = 5*w - 20. Suppose -2 = -3*f + 13. Suppose f*g - 5 = -2*c, c + 1 = 2*c + 3*g. Which is bigger: r or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -83490*o**2*v + 2*o**2 - o*v + 7022*v - 7 wrt o?\nAnswer: -166980*o*v + 4*o - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7231502 to the power of 1\/2, to the nearest integer?\nAnswer: 2689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 4308 in descending order.\nAnswer: 4308, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - 1) + -1*52\/(-16). Let r = -1373\/8 - -172. Sort -0.4, o, r in ascending order.\nAnswer: -0.4, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-255)\/((-255)\/(-15))*(-2)\/9.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -81797, -81797, -81801, -81809, -81821, -81837, -81857?\n\"Answer: -2*y**2 + 6*y - 81801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 4, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 30 = -4*a + 9, -3*w + a + 52 = 0. Suppose w = 15*q - 43. Find the third derivative of -96*s**4 + 43*s**q + 53*s**4 + 45*s**6 + 50*s**2 wrt s.\nAnswer: 5400*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 3*n + 2, 5*a - 3*n = -44 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 9*p**2 + 4*p + 12. Let u be z(9). Suppose r - 3*r = -u. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 times 6174?\nAnswer: -61740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 129933623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143581386?\nAnswer: 2, 3, 13, 37, 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, m: 1, t: 2}. What is prob of sequence im?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 14*f**2 + 25*f - 41. What is the smallest common multiple of n(13) and 253?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216625 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15683288.\nAnswer: 2, 181, 10831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1009*t - t**3 + 1073*t + 1 to n*t**2 + a*t + l*t**3 + q and give a.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 2*a - 3*t, 0*a + 2*a - 75 = 5*t. Suppose -5*l = -4*u + 101 - a, -25 = -5*l. What is the remainder when 122 is divided by ((-80)\/u)\/((-2)\/15)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6 = 0, k = -2*s + 8 - 5. Let c be (-540)\/100 + ((-6)\/k - -3). What is the closest to 2\/5 in 2, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**16\/(f**(4\/7)*f) assuming f is positive.\nAnswer: f**(101\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 2*c + 12 = -3*w, -5*w - 20 = 4*c. Let i be (16\/w)\/((-2)\/4). Solve 0 = -3*d + 5*q - 2 - i, -2*d - 2 = -q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 92728 and 308.\nAnswer: 7140056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -5564*c + 38961. Calculate y(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/64 - (282\/(-72) - -4)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1110 is divided by 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 1. Suppose -2*l - 6 + 0 = 0. Suppose -30 = -4*f + i + 13, 4*i - 15 = -f. Calculate the least common multiple of o(l) and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -3, -2, 3, 12, 25, 42?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 66*l - 586. What is a(-12)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 x, and 1 c when three letters picked without replacement from {z: 2, b: 7, k: 1, x: 3, c: 1}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 2:37 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 891773 is divided by 962.\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 250 + 310. Suppose 0*m - 8*m + t = 0. What is the greatest common factor of m and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 2 - 4249*f + 3 - 268*f + 6.\nAnswer: -4517*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7775*g**2 + 15519*g**2 - 7756*g**2.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(27) + 5 - ((sqrt(27)*1)\/sqrt(9) + sqrt(30)\/sqrt(40)).\nAnswer: 3*sqrt(3)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19313 is divided by 835.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2. Let w(x) = -3*x + 0*x + 6*x + 7*x**2 + 3. Suppose 0 = r + 1 + 2. Let d(t) = 8*t**2 + 4*t + 4. Let h(f) = r*d(f) + 4*w(f). Calculate h(q(u)).\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6776070 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: Let y(r) = 9*r - 4. Let t(a) = 5*a - 2. Determine 11*t(h) - 6*y(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -21*z - 155. Give s(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 33. What is the second derivative of 4*i + 2*i + 27*i**2 - 17*i**w wrt i?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -4*n**3 - 297*n**2 - 10. Let u(y) = 2*y**3 + 149*y**2 + 6. Give 3*c(o) + 5*u(o).\nAnswer: -2*o**3 - 146*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-30))\/((-2)\/(-15))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8361449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19.82 + 19.93. Which is the second smallest value? (a) -10 (b) x (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36038 - 24740. What are the prime factors of x?\nAnswer: 2, 3, 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 770438248 to the nearest integer?\nAnswer: 917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 5*x + 15 = 0, -4*o + 65*x - 16 = -6*o + 32*x + 41*x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 2\/7, 6\/11, -4\/3, 0.1?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -457*q**3\/3 + 831*q**2\/2 - 238. Find the second derivative of i(h) wrt h.\nAnswer: -914","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0294 - 0.029244. Round w to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 5:22 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2208684233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2. Let s(b) be the third derivative of 0 + 0*b + 13\/24*b**4 + 0*b**3 + 8*b**2. Determine s(l(q)).\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.082 (b) 0.4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.747 * 0.3\nAnswer: -0.2241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbgbggbbbzzz. What is prob of picking 3 g?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 10:40 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1244809471 to the power of 1\/2, to the nearest integer?\nAnswer: 35282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from {s: 4, w: 3, m: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 34.110918?\nAnswer: 34.110918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 9*p**2 - 5*p - 4. Let a(o) = 6*o**2 - 3*o - 2. What is -8*a(z) + 5*b(z)?\nAnswer: -3*z**2 - z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2. Let q(n) = 4*n**2 - 22*n + 625. Let u(z) = z**2 - 11*z - 2. Let k(f) = q(f) - 2*u(f). Determine m(k(h)).\nAnswer: -4*h**4 - 2516*h**2 - 395641","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -137 - -1779\/13. Which is the second biggest value? (a) 2\/5 (b) i (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-164)*(-1492)\/3730.\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.85 - -1. Let j = 0.05 - k. Which is the closest to 0.1? (a) j (b) -3\/5 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25574828 and 316?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 14 = 6*y. Sort 87, 5, y, 8 in descending order.\nAnswer: 87, 8, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdzld. What is prob of picking 2 d and 1 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6996 a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123481588?\nAnswer: 2, 30870397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81766289?\nAnswer: 11, 7433299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 208245599*n**2 + 501798389*n wrt n.\nAnswer: 416491198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20786379307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1463.48 + -12.52. Let h = 1476.00000997 + y. What is h rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63771 is divided by 1650.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 18*f**2 - 30*f**2 + 13*f**2. Let x(s) = -12*s**2. Calculate x(w(n)).\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 78292, 156562, 234832?\n\"Answer: 78270*h + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of 11\/45*v**3 + 0*v**2 - 1\/9*v**4 - 1\/150*v**5 - 13*v + 0. Let n(k) = 0. Calculate k.\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, v: 1}. What is prob of picking 2 y?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 398 and 37150?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*q**2 - 8*q**2 - 16*q**2 - 27*q**3 - 4*q**2 - 2 + 27 to the form k*q + j*q**2 + z + h*q**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -267*a**2*h*o**2*x - a**2 - 41*a*h*x - 2*a*o**2*x + 3*a*x + 2*h*o**2*x + 3*h*o*x + o*x wrt o?\nAnswer: -534*a**2*h*x - 4*a*x + 4*h*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j - 5. Let b(k) = -9 + 10*k - 6 - 1. Suppose 2*f - 3 = -13. Suppose 4*r + 4*s - 52 = 0, -3*r + 235 = -2*s + 181. Give f*b(x) + r*l(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -229340.7 to the nearest one thousand.\nAnswer: -229000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/(-10)*(-5)\/6. Let i = 3\/2 + h. Let f = 4.2 - 4. Which is the closest to i? (a) f (b) 0 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 7*a + 2*a + 31 = 0, 3*t - a - 1 = 0. Suppose 0 = 5*q + 10, -4*g - q = -t*q - 154. What is the remainder when 63 is divided by g?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 - 10*k**2 + 4*k + 1. Let s be z(-8). Let m = s + 274. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -648, -641, -630, -615?\n\"Answer: 2*c**2 + c - 651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**3 + 347433844*i**2 + i - i - 347433844*i**2.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjqjptt. What is prob of picking 1 q and 1 j?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23655?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -3, -310, -1\/6, 12.\nAnswer: -310, -3, -1\/6, 0.3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**4 - 35*w**3 + 415*w**2 - 1005*w + 630 = 0. What is w?\nAnswer: -14, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 6, -4.\nAnswer: -4, 0.7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/(-5) - ((-430)\/30 + 13)\/((-2)\/6). Solve 0 + 3\/5*h**3 + 3\/5*h**5 - v*h - 9\/5*h**2 + 9\/5*h**4 = 0 for h.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 240, 444, 648, 852, 1056, 1260?\n\"Answer: 204*q + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -23173dc?\nAnswer: 23173d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**6 + 62186*n**5 + n**3 - 18*n**2 + 79975*n.\nAnswer: 240*n**3 + 3731160*n**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 476*w + 0 - 7 + 3 + 3)*(14 + 20 + 20) in the form r + j*w and give j.\nAnswer: -25704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/2334 and 89\/7780.\nAnswer: 23340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z - 11*z - 76*z - 198*z to the form m*z + o and give m.\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 36*m**2 + 33*m + 74. Let p be u(35). Solve 0 = p*k - 5 - 7, 0 = -3*o + 2*k - 21 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4938 - 4932. Let n be 26*5\/(30\/16). Let k = -70 + n. Which is the nearest to k? (a) 5 (b) -3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/(-6)*(-12)\/(-10). Let c be 2\/4 + 1*-1. Which is bigger: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 6)*(-38 - 44 - 73*z + 83).\nAnswer: -146*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*t - t - t)*(133 + 987*t - 48 - 47 - 40) as c*t + a + w*t**2 and give w.\nAnswer: -1974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**3 - 2*g**3 - g**3 + (-2*g**2 + 2*g**2 + 2*g**2)*(3*g + g - 3*g) - 2*g**3 + g**3 + 4*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 2 + 1\/8*r**2 - 7\/48*r**4 - r - 1\/20*r**5 - 1\/12*r**3. Let p(u) be the first derivative of h(u). What is x in p(x) = 0?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46467210 rounded to the nearest one hundred thousand?\nAnswer: -46500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15844, -31570, -47296, -63022?\n\"Answer: -15726*o - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 601*x**2 - x. Let t(i) = -7*i. Give g(t(q)).\nAnswer: 29449*q**2 + 7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-42)*3*7. Let o(j) = 30*j - 30*j - 3*j**d. Let g(h) = 2*h. Determine g(o(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 2 - 6. Suppose -2*c = 3*c - 4*u - 23, -n*c + 10 = -2*u. Solve -13 - 2 = -c*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 450*w - 2311*w + 462*w + 467*w + 459*w + 472*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7211 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 119217, 119214, 119211, 119208, 119205, 119202?\n\"Answer: -3*s + 119220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/17 + 48918*x\/17 + 1855996\/17.\nAnswer: 2*(x + 38)*(x + 24421)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*u = 52*u - 30. Solve -11*g - u = 4*w - 6*g, 0 = w - g + 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1498 and 31418410?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.04791*-773\nAnswer: -37.03443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/7 - 1610\/(-98). Let k(a) = 2*a + 6. Let p(l) = -10*l - 32. Let v(d) = s*k(d) + 3*p(d). Let z(r) = 5*r - 3*r + 7*r. Give v(z(h)).\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5400 and 864?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1*(1 + -1))\/(-2). Let i = -14 + 18. Solve f - z = c, 2*f - f = -i*z - 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 9:35 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 960 and 182685?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100 + 99.28. Let y = 1.02 + z. Let x = 3 - 4. What is the third smallest value in y, x, 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -15.14. Let b = -0.04 + l. What is the nearest to 0 in 3, b, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 8*y + 41. Let g be j(-9). Suppose -52*m = -g*m. Solve m = -3*v + 2 - 17 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*-3\nAnswer: 0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -25. Let m(g) = 4*g**2 + 4*g - 3. Let n be m(a). Put n, 0, 8 in decreasing order.\nAnswer: 8, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1585 and 215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 3. Let h(z) be the second derivative of 1\/2*z**4 + 0*z**3 + 21*z + 0 + 2*z**2. Let t(o) = -11*o**2 - 7. What is a*h(f) + 4*t(f)?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(567) + (1*sqrt(448))**2.\nAnswer: 9*sqrt(7) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzyzzzzzzzzzyzyzzzyz. What is prob of picking 2 y?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*m**2 - 4 - m + 32*m**2 - 53*m**2)*(-6*m**2 + 2*m**2 + 5*m**2) to r*m + q*m**2 + l*m**3 + a*m**4 + b and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 27 = y. Let o be 58\/18 + 2*(-3)\/y. Suppose 9 = 4*a - o. Solve a*x - 24 = -9 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - 95\/25) + 471\/(-5). Let l = r + 193. Calculate the remainder when l is divided by ((-1)\/(-3) + 0)*51.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10954 a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 3*k**2 - 4*k + 15. Let l be c(3). Suppose 3*i - j = l*j + 428, -4*i + 2*j = -584. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r = o + 6, -4*o = 4*r - 48. Let l(a) = 5*a + 10. Let w be l(r). Let u = -30 + w. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -384 + 1359. Let l be d\/(-6)*(36\/(-15))\/2. Put l, 1, 2 in descending order.\nAnswer: l, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 453628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128299 is divided by 40?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 + 3*l**5 - 2*l**3 + (-2*l - 3*l**3 + 2*l)*(l**2 + 0*l**2 - 3*l**2) - 2*l**4 + 2*l**4 + 2*l**5.\nAnswer: 11*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*u + 158 - 147 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 7*q**2 - 9*q + 1. Let c be s(8). Let j = c - -10. Solve 0 = z - 2 + j for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.14? (a) -4 (b) -0.4 (c) 6\/133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 10}. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -154*s**2 - 765*s - 540. Calculate x(-4).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 222?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5970 bigger than 5973?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -713 + 817 + 23 + 11.\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1396 divided by 4\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 11*z - 16. Let w be j(-9). Let c be (0\/14)\/(-3 + w). Solve 0*s + 2*s - 10 = -4*x, 4*s + 3*x - 5 = c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*y + 5*y + 6*y)*(-2*y + y + 3*y)*(y**2 + 0*y**2 - 2*y**2)*(3 - 6 + 4) to c*y**3 + b*y + t + g*y**2 + z*y**4 and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -15*h - 2. Let k(l) = -10*l - 1. Let t(z) = 2*z**2 - 43*z - 73. Let w be t(23). Let m be (w - 3) + (-1 - -3). Calculate m*i(r) + 8*k(r).\nAnswer: -5*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w\/((w*w*(w\/((w*w\/(w**(-1\/5)*w*w))\/w))\/w)\/w))*w)**(2\/157))**(3\/14) assuming w is positive.\nAnswer: w**(27\/5495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161823 is divided by 420.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 446995821, 446995819, 446995817?\nAnswer: 446995815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -117 and -4830.\nAnswer: 565110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -878 (base 11) to base 6.\nAnswer: -4513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 251194573601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 + 6. Let n be 4\/u - 2471\/(-11970). Let h = n - 311\/4370. Which is the second biggest value? (a) -0.2 (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 203*w**2 + 460*w + 2. Determine s(-1).\nAnswer: -255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(520)\/sqrt(40) - sqrt(52)))\/(2*3*sqrt(4)*-1).\nAnswer: -sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**3 - 864*a**2 - 3495*a - 2628 = 0. What is a?\nAnswer: -3, -1, 292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u - 3 = 0. Let w(v) = 6*v**3 + 3*v**2 - v - 2. Let n be w(-2). Let b be 3*-1 + 4 + n\/16. What is the closest to u in b, 4\/3, 3\/5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14376 divided by 4.\nAnswer: 3594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 10. Differentiate 5 + c - 3*h - 8 + 3 wrt h.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4808 at most as big as -4683?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38925310?\nAnswer: 2, 5, 353, 11027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r**4\/11 - 156*r**3\/11 + 522*r**2\/11 = 0. Calculate r.\nAnswer: -29, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0013463797 to 4 decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 5, -0.08, 10, -2.6, 6, 3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 427 - 49. Let t = c - -1601. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24397, -195121, -658515, -1560913, -3048649, -5268057?\nAnswer: -8365471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**6\/30 + 3*a**3\/2 - a**2. Differentiate x(y) wrt y.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/9*3 - -11. Suppose 7*m - i*m = -116. Calculate the remainder when m is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -69*x - 5. Let y(a) = -26*a. Give y(r(z)).\nAnswer: 1794*z + 130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3703 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2 - 2 - (-690 - (-4 - 8))) + 2 is divided by 38.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 360 divided by 3.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 92*s**2 - 1352*s - 1496. Calculate n(-17).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 455897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08200126598 rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -13. Solve z = -2*r - 2*o - 2, 4*r - 3*o = -r + 35 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13980*z**5 - 775*z**4 - 2*z**3 - 18*z**2 - 745406?\nAnswer: 838800*z**2 - 18600*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/161 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 2\/3 + -1. Let n be ((-60)\/(-30))\/(12 + 0). What is the nearest to k in n, -1\/9, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 34*m**2 - 68*m - 11. Let f(h) = -30*h**2 + 67*h + 10. What is -9*f(n) - 8*v(n)?\nAnswer: -2*n**2 - 59*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 30? (a) -1.65 (b) -0.3 (c) -107\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = d - 6*d - 4*u, 3*u = 0. Find the common denominator of (11*d\/(-528))\/((-3)\/(-404)) and -11\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165 and 14685?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0 + 5 = 3*x, x = -5*b + 8. Suppose 0*c - c = 3. Is -1 + b - 0 - c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1693 - -18814. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4*(6 - 1106\/(-35)). Which is smaller: b or -149?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.093 + -0.093. Which is smaller: w or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000150958446 rounded to 7 dps?\nAnswer: -0.000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o - 91 = -36 + 8 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 22124?\nAnswer: 22123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36345 is divided by 353?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -314, -315, -316?\n\"Answer: -y - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - a4a2c67?\nAnswer: -a4a2c65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.82 - -9.82. Let k = 0.5 - 0. What is the biggest value in s, k, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5\/3 - 3325*l**4\/3 - 1988063*l**3\/3 + 1289452729*l**2\/3 - 50375376480*l + 49946222700 = 0. Calculate l.\nAnswer: -1870, 1, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 2:58 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1708 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-84 + 10*s + 84)*(1 - 2 + 0)*(-2 + 4 - 1)*(-2*s - 3*s + 0*s)*(0*s**2 + 4*s**2 - 3*s**2).\nAnswer: 50*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 151758+179423\nAnswer: 331181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14134639 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9\/10 of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + sqrt(448).\nAnswer: 4 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 1 - 3*r**2 + 3*r**3 - r + 1 + 8 - 3*r**4 in the form q*r**4 + c*r**3 + w*r**2 + o + y*r and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, e: 3, l: 1, z: 9}. What is prob of sequence zl?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**5 - 612*b**4 + 9582*b**3 - 27272*b**2 - 85743*b - 48276 = 0.\nAnswer: -1, 9, 596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 17549*b + 17538*b = -3, 4*r - 4 = 2*b for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 5*p + 20. Suppose p*l - 390 = 3*l. What is the tens digit of (12\/(-15))\/((-3)\/l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 5*z + 2*n, -2*z + 2*n - 32 = -0*z. Let o(x) = -x**2 - 14*x - 27. What is o(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10467 to 3 decimal places.\nAnswer: 0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 8, 19, 48, 101, 184, 303, 464?\nAnswer: 673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85420, 170852, 256284, 341716?\nAnswer: 427148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -8, 2, -19, -275?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 10. Let l be (-1 + 92\/6)*m. Let p = l + 21. Calculate the highest common divisor of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(342)*-6)\/(sqrt(22)\/(sqrt(33)\/sqrt(3))).\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 11083 and 11083 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**2 + 37*y - 134. Calculate c(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26765\/6 + -4446. Find the common denominator of c and 37.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v. Let t(p) be the second derivative of 515*p**4\/12 + 1349*p. Give t(u(w)).\nAnswer: 8240*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -406.8 rounded to the nearest 10?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 16. Suppose w*u - 406 = -5*a, 2*u = -2*u + 5*a + 812. Suppose -2*m + u = 5. What is the highest common factor of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25438691.\nAnswer: 25438691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 0 + (2 + 28 - ((20 - 14) + 21)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/2114568 and 101\/4229136.\nAnswer: 4229136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*1*(-2 - -1). Suppose 17 = 3*h + l, 3*l + 15 = h + h. Suppose 0 = 3*s - h - 0. Sort 4, s, j.\nAnswer: j, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 8:06 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2119 a factor of 36082332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m**4\/11 + 5991*m**3\/11 - 58532*m**2\/11 + 133644*m\/11 + 20304\/11 = 0. What is m?\nAnswer: -1\/7, 4, 6, 846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2. Let x(a) be the third derivative of 11*a**7\/2520 - 11*a**4\/24 - 10*a**2. Let s(g) be the second derivative of x(g). Calculate s(l(m)).\nAnswer: 44*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-9)*36*1\/8*-6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the third derivative of l**4\/12 - 2*l**3\/3 + 18*l**2 + 44. Let g(f) = -7*f**3 + 2*f - 1. Let i be g(1). Let v(w) = 2*w - 4. What is i*v(o) + 7*y(o)?\nAnswer: 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3015962 a multiple of 419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -5 (c) 1\/2 (d) 13\/41 (e) -33 (f) 4 (g) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 7\/2*(-2)\/(-3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42106*a - 930 = 42076*a for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 8 = -f, 5*h + f + 9 = -11. Let t(v) = 0*v + 3*v + 0*v - v. Calculate t(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -44\/63, 1.7, -214, 1 in decreasing order.\nAnswer: 1.7, 1, 0.5, -44\/63, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21127 divided by -25484.\nAnswer: -21127\/25484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 + (-56)\/10)*-5. Solve i*z + 2*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588486?\nAnswer: 2, 3, 98081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(4) - sqrt(7))**2*-4 + -2*sqrt(7)*3 + sqrt(70)\/((2*sqrt(10) - sqrt(10))*2).\nAnswer: -11*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -683 divided by 164367\nAnswer: -683\/164367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2 - 15*n + 5. Let s(v) = -v**2 - 6*v + 2. Let g(w) = 2*i(w) - 5*s(w). Let t(z) = 1340*z**2. Determine t(g(u)).\nAnswer: 1340*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -344301 - -3203?\nAnswer: -341054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 7*l + 8. Determine o(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5617 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 945 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4095 and 312.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2727137251 rounded to 2 decimal places?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 454160 to the nearest ten thousand.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.069022 plus -3?\nAnswer: -2.930978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28503840 is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of -6*(-145)\/15 + (-32)\/8 + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/7))**(1\/10)\/(((r*r*r\/(r*r\/(r\/(r\/(r*r\/(r*r**(1\/10)))))))\/r)\/(r*r**(5\/4))) assuming r is positive.\nAnswer: r**(37\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - -0.41. Let k = g - -0.05. Let o = -0.3 + 0.1. What is the third smallest value in 5, k, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80378, 160756, 241134, 321512, 401890, 482268?\nAnswer: 562646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a day in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99, 198, 297?\nAnswer: 396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52130226 and 25230?\nAnswer: 5046","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 p, and 1 i when four letters picked without replacement from {p: 1, d: 6, z: 4, i: 4}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630*r + 619*r + 88 = 0. Solve -31*i = r*i - 195 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8.2214? (a) -3 (b) -37 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/28 and 73*(66\/(-160) - 2\/(-5)).\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - u**2 - 3*u. Let j be m(4). Suppose 4*a + 3*b = -b + j, 5*a - 47 = -4*b. Let o = 11 - a. Solve -4*i = -o*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 0.2 (b) 0.4 (c) 5.66\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1223 - -4?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -2*f**3\/3 + 5*f + 247. Let w(s) = s - 1. Let i(g) = 10*g - 9. Let b(a) = 2*i(a) - 18*w(a). Give x(b(h)).\nAnswer: -8*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 12 (b) 0.13 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2 = 6. Suppose -l - 5 = -c - s, -1 = c + 3*l. Which is bigger: c or 5\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-4))\/(41\/(-82)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(2\/9))*q*q**11)\/(q**(1\/3))**40)**(3\/13) assuming q is positive.\nAnswer: q**(-14\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*f**3 - 1\/2*f**2 + 1\/4*f + 0.\nAnswer: f*(f - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, 32, 164, 420, 842, 1472, 2352, 3524?\nAnswer: 5030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 688.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9554\/10 - (1568\/(-80) - -19). Let w = 38 - 27. Suppose -w*n + 34 = -t. Calculate the highest common factor of 36 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4415549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.53962551 - 24.33961341. Let o = 20.8 + j. What is o rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3319?\nAnswer: 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9365688?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 8:34 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1159*o**4 - 1227*o**4 - 6843*o**2 - 604*o**2 + 867*o**4 - 1038*o**2 wrt o?\nAnswer: -36456*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2688, -5885, -9526, -13617, -18164, -23173?\nAnswer: -28650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*x**2 + x**2 + 4*x**2)*(-x + 5*x + x + (x - 2*x - 3*x)*(-5 + 4 + 2)) in the form p + z*x**3 + l*x + q*x**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l = -5*w + 29, 556*l = 3*w + 553*l - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 2\/37, 16 in increasing order.\nAnswer: 2\/37, 1\/2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of u**5\/15 + 73*u**4\/18 - 37*u**3\/9 - 200*u - 3. Solve j(r) = 0.\nAnswer: -37, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1876.695*-2\nAnswer: -3753.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*r - 41*r + 9 + 93*r + 14*r - 3.\nAnswer: 221*r + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1836*t + 1838*t = 3683*t - 81 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-18)*11 - 16\/72. Let c be (w + -1)*(-52)\/(-104). What is the second biggest value in 4\/5, c, -3, -0.06?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*l**4 + 3*l**2 - 31*l - 1.\nAnswer: 96*l**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -25. Sort 2, 1, w in decreasing order.\nAnswer: 2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 379995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16400.4 + -6.\nAnswer: -16406.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*m**2 - 182*m**2 + 120*m**2.\nAnswer: 39*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 2*u - 0*s - 2, -4*s = -8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30740094 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45177725 and 6175.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 31734\/3 - (17 + 5 - 19). Calculate the highest common factor of b and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 29 = 46. Let y be (-16)\/(-10) + q\/(-25). Let c(s) = -s**3 + 6*s**2 + 3. Let m be c(6). Solve -m*b = 3*x - y - 2, 3*x + 21 = 5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32 + (150 - 121))*(4\/(-3) + 1)*47\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -8*m**3 - m**2 + 1. What is r(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 353*c + 1077. Calculate n(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - w - 12 = -36, -3*y = -2*w - 15 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86.5 - 86. Which is the closest to 0? (a) 1\/5 (b) p (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 205*y**2 + 2*y - 1. Let r be x(1). Suppose -135*l + 126*l + 1251 = 0. Let u = r - l. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197721 is divided by 98853?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**2\/8 - 589359*r\/8 + 2652237\/4 = 0. Calculate r.\nAnswer: -196462, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(700) + 1))**2 - (sqrt(700) + (sqrt(700) + (2 + sqrt(700) - sqrt(700)) + sqrt(700))**2 + -5)) + 1.\nAnswer: 410*sqrt(7) + 14727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k - 1. Let j(z) = 4*z + 9. Let f(b) = -j(b) - 6*p(b). Let o be f(2). Let n = -26 + 211\/8. Is o at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*r + 5 = 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + -1)\/9*12. Let h = 7 - n. Suppose h*j + 28 = 187. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**3 - 18*z**2 + 8*z - 190. Let r be p(9). Calculate the highest common factor of 52 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15596?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 9*c**5 - 11*c**2 - 14*c + 11. Let n(v) = -2*v**5 + 2*v**2 + 3*v - 2. Let y(r) = -2*d(r) - 11*n(r). Find the second derivative of y(a) wrt a.\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -896 and 0.2.\nAnswer: -179.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 124, -5, -1 in descending order.\nAnswer: 124, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 7*x - 4. Let w(n) = -2*n**2 + 32*n + 19. Let y be w(17). Let a be -2*(3\/y)\/((-4)\/350). Let l = -42 - a. Determine t(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + j + 1 + (-2*j - 2*j + 2*j)*(1 - 1 + 3)*((2 + 3 - 2)*(0 - 3 + 5) + 0 - 2 + 0 + 4 + 10 - 4)*(-5 + 2 + 1).\nAnswer: 169*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-3) + (-6)\/18. Calculate the remainder when 43 - (-6)\/(6\/h) is divided by (-40)\/(-12)*(-54)\/(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5592908*c + 3399 = 5593011*c for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/6 (b) 0.4 (c) -5 (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-85398)\/(-14233))\/((-3*(-1)\/6)\/((-2)\/(-26))).\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -19. Suppose p*x - 37 = 28. Calculate the remainder when 37 is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 57084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 978 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*j**2*u**2 - 51*j**2*u - 155*j*u**2 - 2*j*u wrt u.\nAnswer: -14*j**2 - 310*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75728 is divided by 73474.\nAnswer: 2254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 4*n = -28, 128*n + 2 = -2*a + 249*n - 126*n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47628 divided by 6.\nAnswer: 7938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -243 + 0.1042896.\nAnswer: -242.8957104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(78) + sqrt(78)*-2))\/(sqrt(24)*-1)*2.\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13\/2 - ((-1)\/2)\/(-1). Sort 0, n, 2, -4 in increasing order.\nAnswer: -4, 0, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**4 + 32*d**3 + 60948*d**2 + 64954938*d + 1?\nAnswer: -24*d**2 + 192*d + 121896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (32\/12 + -2)*-6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1933\/9 - -215. Let s(v) = -v + 2. Let u be 174\/24 - (-2)\/(-8). Let a be s(u). What is the third biggest value in 0, a, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3266\/(-3220) - 15\/(-21)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -147*r**3*t**2 + 78*r**3 - 2256*r**2*t - 7*r*t**2 wrt r?\nAnswer: -882*t**2 + 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 258266340 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 + 52. Suppose 4*p = 3*o - 38, -4*o + u*o - p = -76. Let b(a) = a**2 - 14*a + 4. What are the prime factors of b(o)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3 = -9. Suppose 0 = 2*q - 2 - w. Let r(p) = -p**3 - 3*p**2 + 3. Let b be r(-3). Solve -q*i - b = -6*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*n + 53*n - 5*w + 2*w - 91, -5175 = -n + 235*w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*z = 0, -3*x - 2*x - 2*z + 4 = 0. Let r(f) = 3*f - 2 + 107*f + 0 - 1. Is r(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 6:44 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 33975080569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57990 and 289950?\nAnswer: 289950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*m + 21*m - 12*m**2 - 42*m to f*m + q*m**2 + y and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -72157018 divided by 3?\nAnswer: -72157018\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6976, 6419, 4902, 1945, -2932?\n\"Answer: -80*c**3 + 3*c + 7053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnnnnn. What is prob of sequence nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 92?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 978 times 0.195854?\nAnswer: 191.545212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -55*k*p**3 + 302*k*p**2 + 7*k*p + 4*k + 3*p**3 + 2*p**2 - p + 129 wrt p.\nAnswer: -330*k*p + 604*k + 18*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32555*d**3 + d**2 + 8420*d - 2 wrt d?\nAnswer: 195330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -333 + 49c57?\nAnswer: 49924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 12:32 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - 1\/(3\/9). Let g(h) = 2*h**2 + h - 2. What is the units digit of g(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 10. Let s = h - -8. Let x(q) = q**2 + 7*q - 18. Let m be x(-9). Solve -b - b + s = m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-235)\/188)\/((-5)\/2). What is the nearest to -2\/5 in 1\/9, 1\/4, h, 14?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 1)*((-756)\/(-8) + -2). Let n = 182 + k. Which is the third biggest value? (a) -0.3 (b) n (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1433 - 4304444?\nAnswer: -4311432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -99 + 100. Solve 0 = 3*m + k + 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 5*z**2 - 5*z + 2. Suppose w - 5 = -3*o - 4*w, 0 = 3*o - 5*w - 25. Let c(k) = -9*k**2 + 10*k - 5. Let v(r) = o*d(r) + 3*c(r). What is v(4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 160211, 160212, 160213, 160214, 160215?\nAnswer: 160216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r - 65*r**2 + 34*r**2 + 32*r**2)*(r - r**2 - r).\nAnswer: -r**4 + 5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 346710, 693424, 1040124, 1386804, 1733458, 2080080, 2426664?\n\"Answer: -r**3 - r**2 + 346724*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p**2 + 6*p**2 - 10*p**2 - 2*p**2 - 14*p**2.\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {u: 1, p: 12, e: 4, a: 2}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2314592277 to the nearest integer?\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -50 + 149 + -57 + -37 + -1 + (-85 - 1)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19653 + 19662. Let p(q) = -2*q**2 - q + 9. Calculate p(y).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 3*c - 2. Suppose 2*y + m = 1, -3*m - 3 = 3*y - 0*y. Let x = -100 - -134. Calculate the remainder when x is divided by l(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79 - 67. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110703402 a multiple of 994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6041492.94 rounded to the nearest 10000?\nAnswer: 6040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*z - 4, 0*z + 3*s = -2*z - 4. Factor 3*w**5 + 16*w - 24*w + 4*w**3 + w**5 - 12*w**2 + 12*w**z.\nAnswer: 4*w*(w - 1)*(w + 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -126?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 5)*(0 - 4 + 3)*(2*h + 0*h - 17*h) + (3 + 3 - 4)*(-2*h + 2*h + 2*h) + 0*h - h + 3*h.\nAnswer: -84*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 54029074523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 27\/6*(-4)\/(-3). Suppose 0 = -2*b - 4, -4*w + 3*b + 56 = w. Solve 3*d = -5*z + y*d, -d = -5*z - w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -31*q**3 - 2*q + 1. Suppose -17*l = -6*l - 11. Let h be (l\/(-1))\/(20\/40). Let p be k(h). Calculate the highest common factor of 23 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1435 and 789537.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95133032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*y + 179 = -4577 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**3 - 1. Let h be z(-1). Let b(f) = -4*f + 4. Let t(r) = 2*r - 5. Let m(k) = k - 3. Let x(o) = 3*m(o) - 2*t(o). Determine h*b(s) - 6*x(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245*f**4 - 1756265*f**3 + 2508190*f**2 + 1863380*f + 286680 = 0. What is f?\nAnswer: -2\/7, 2, 7167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 2\/4893619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g - 7. Let t be u(-7). Let i = -52 + 37. Let m be ((-1)\/3 - t)*i. Solve 1 + 4 = -m*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**3\/3 - 191009*w**2\/3 - 382021*w\/3 - 191011\/3 = 0 for w.\nAnswer: -1, 191011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 75, -280 in descending order.\nAnswer: 75, 0, -3, -280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 2*t - 37 - 1 = 0, 2*s + 31 = -5*t. Calculate the lowest common multiple of 64 and (-14)\/(-8) - s\/32.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -14365 and -14363 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -2*b**5\/15 + b**4\/24 - b**2. Suppose -3*g + 5*x - 2 = 0, 0 = -x + 3*x - 2. Determine l(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 11*z**4\/24 + 10*z**3\/3 - 4*z**2. Let w(j) = -7 - 2*j - j - 3*j + 2*j. What is 6*p(m) + 17*w(m)?\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 4:03 AM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 86 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -14*z**2 + 106*z - 55. What is w(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 845155 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2110 or -23216\/11?\nAnswer: -2110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 4*y - 47 - 13, -4*m + 4*y = 76. Let l be (-1791)\/(-4) + 12\/m. Suppose -c + l = 2*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6112881\/8 + 760592. Let t = g - -3509. Let m = -52855\/8 - -6616. What is the common denominator of t and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 14*r**2 + 205*r + 165. Calculate k(-15).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -16. Suppose f*h + 15 = -h, -4*h = -5*o + 170. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -531 (base 6) to base 12.\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -32. Let g = x + 0.52. Let a = 1 + g. Round a to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2. Let h(y) = 26*y + 107*y + 107*y - 106*y + 25. What is f(h(b))?\nAnswer: -17956*b**2 - 6700*b - 625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from jjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*g**2 + 19*g**2 - 23*g + 26*g.\nAnswer: -107*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 394 or 395?\nAnswer: 394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 512 and 30016.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1687*t + 1303*t - 1937 - 1979*t wrt t?\nAnswer: 1011","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36850 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64 - -19. Let a be 5*-3*2425\/l. Let g = -816 + a. Which is smaller: -8 or g?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4108433, 4108439, 4108445, 4108451, 4108457, 4108463?\nAnswer: 4108469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - w - 8. Suppose 5*s = -6 - 24. Does 19 divide i(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 8*q - 21. Let i be 21\/(2 + (-21)\/6). Let p(a) = -40*a + 104. Let f(v) = i*n(v) - 3*p(v). Is f(8) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + n + n - 2*n**2 - n)*(-469*n - 1850*n + 618*n).\nAnswer: 3402*n**3 - 1701*n**2 - 1701*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17, -38, -59, -80, -101, -122?\n\"Answer: -21*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/(-6))\/5*-3. Suppose 0 = -5*n + 19 + w. Suppose -4 = -n*m - 0. Which is the second smallest value? (a) -1 (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 100339?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c + 3*g = 13*c + 6, -5*g = 5*c - 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 22*r + 14. Let w(p) = -15*p - 2 + 24 - 19 - 12. Calculate -5*a(m) - 8*w(m).\nAnswer: 10*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346941?\nAnswer: 3, 7, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -359547 (b) 2\/19 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**2 + 66*y + 4. Let v be n(22). Let a be (-72)\/42 + 4\/(-14). Let f = 14 - a. Solve -5 = 4*p - 5*c - 13, -v*c = f for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 392\/280 + 2097\/(-1505). Is s bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5\/4, 5, -92, -0.4, 14, 3 in descending order.\nAnswer: 14, 7, 5, 3, -0.4, -5\/4, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s\/(s\/s**(-4)))\/s))\/(s*s\/(s**(4\/9)\/s)))**(-29)*((s**(-2\/9)\/s)\/s*s**(-4))\/(s**(-1)\/s*s)**(-21\/8) assuming s is positive.\nAnswer: s**(-7829\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228317 is divided by 222?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3\/2 + 1245*d**2\/2 + 4458*d - 11394.\nAnswer: -3*(d - 422)*(d - 2)*(d + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 90 - -36. Calculate the remainder when 129 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, u: 7, n: 2}. What is prob of picking 2 n, 1 u, and 1 w?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1780\/(-3))\/((-6)\/(-18)). Suppose 3*v = -i - 1024, 3*i + 4*v = 87 - 3164. Let h = i - m. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oop when three letters picked without replacement from apvopwzo.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5}. Give prob of picking 3 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((42\/(-45))\/(-7)). Let y be -4 + (-10)\/f*36. Suppose 2*t + z = 48 + y, -5*t + z = -177. What are the prime factors of t?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -1001333123?\nAnswer: -1001333121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -192*g - 1023. Let p be q(-5). Sort p, 7, -4, 2, 4 in descending order.\nAnswer: 7, 4, 2, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - r + 2)*(-40*r - 232 + 34*r + 3*r**2 + 214) as b*r**3 + t*r**2 + n*r + s and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39450 and 1800.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 152 - 102. Suppose -5*y + 5*m + l = 0, -5*y + m + 35 = -m. What is the least common multiple of y and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -3*j - 4*y + 2, -5*j = 4*y - 6. Suppose -j*i + 0*i + 8 = 0. Let s(u) = -3 - 1 - 2*u - 4346710*u**2 - 1 + 0 + u**3 + 4346707*u**2. Give s(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -867, -733, -599, -465, -331, -197?\n\"Answer: 134*g - 1001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 343*r + 1376. What is w(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16550 is divided by 3286.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 295 = 5*a - l, a - 5*l = 59. Suppose 60*d - a*d - 167 = 0. List the prime factors of d.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(325) - (sqrt(325) + -1 + sqrt(325)) - sqrt(325)))**2 - ((sqrt(325)*1)**2 + sqrt(325) + 3)) + -2 - (1*(0 + -1*sqrt(7488) - sqrt(7488)))**2.\nAnswer: -28978 + 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -434 - -268. Let m = z - -162.4. Is 3\/4 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z + 18 = 20*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -323400 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -72 in increasing order.\nAnswer: -72, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10313 (base 4) to base 5\nAnswer: -2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 155.5 + -155. What is the second biggest value in p, -62, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (-27 + -28 - -30) - -2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -12. Suppose 3*v + 12 = -q*b, -5*b + b - 12 = v. Sort 4, v, 5.\nAnswer: v, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a3ea4 (base 16) in base 14?\nAnswer: -13696c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 795064196 * -3.\nAnswer: -2385192588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/147*14*6\/6.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -5*s - 90, -9*k = -5*k + 2*s - 72. Suppose 5*a + k = g, -4*g - a + 9 = -0*g. Solve -g*j = 5*j - 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63485 (base 10) to base 16\nAnswer: f7fd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*i + 6 = 1, 0 = 5*f - 5*i + 35. Let g = 30 + f. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 38 (b) 4 (c) 2\/7 (d) -2576.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16131, 43.61, -0.3?\nAnswer: -16131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.04 - 0.04. What is the biggest value in -4, b, 0.01, -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**5 - 22975*v**4 - 3348870*v**3 - 68127110*v**2 - 405841535*v - 341040315 = 0. Calculate v.\nAnswer: -119, -11, -1, 4737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.286139 and 0.4.\nAnswer: 0.1144556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - ((-3)\/1)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11732 - 11735.9. Which is the closest to -0.1? (a) -0.01 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11202022122000 (base 3) to base 12.\nAnswer: -a19783","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 14*o**2 - 6*o - 1. Let i(t) = -13*t**2 + 4*t + 1. Determine -3*a(p) - 4*i(p).\nAnswer: 10*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5\/2 - 3*h**4 + 9*h**3\/2 - 2*h**2.\nAnswer: h**2*(h - 4)*(h - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-507)\/(-39)) - (-10)\/(-8).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2, 17, 18, -1, -46?\n\"Answer: -c**3 - c**2 + 25*c - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-129)\/(-6) - (-2)\/(-4). Let s = -11 + z. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 118 - 118.7. Put 0.3, f, 2\/7, -6 in decreasing order.\nAnswer: 0.3, 2\/7, f, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/6)\/7*-12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 94201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 + -2.5. Put -4, z, -0.1 in descending order.\nAnswer: -0.1, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-92)\/(-20) - (-117)\/195. Which is the nearest to l? (a) 0.1 (b) 1\/2 (c) -2 (d) -107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6955987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -13, 30604, 3 in descending order.\nAnswer: 30604, 3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -5. Let z = -7 - -3. Let s = z + 2. Is s at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 34. Let h be 22*o\/(-4) - 6\/4. Solve h*z = -0*z + 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/57 in -79, -1.765, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1744 and 198598.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.46076 centimeters in micrometers?\nAnswer: 594607.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*d*h**3*r + 32*d*h**3 + 4*d*h**2*r - 10*d*h**2 + 2*d*h + 4*d*r - 10*h**3*r - 2 wrt h?\nAnswer: -264*d*r + 192*d - 60*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (27 - (-22 - -55))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -20*b + 5. Let w be a(-6). Suppose -5*i + w = -3*u, -2*u = -6*u + 20. What is the remainder when 111 is divided by i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*k**3 + 36980*k**2 - 215593*k + 3 wrt k.\nAnswer: 84*k + 73960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + (1*-1)\/(33\/264). Let t(w) = -w - 2. Let p be t(-7). Suppose -p*g = -4*h - 0*h + 34, -5*g - 29 = h. Sort b, 0, g in descending order.\nAnswer: 0, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 406*c**3 - 554*c**3 - 65*c**3 - 642*c**3.\nAnswer: -855*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -1006*p**3\/3 + 693*p**2\/2 + 190*p. Differentiate b(o) with respect to o.\nAnswer: -2012","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, i: 7, k: 3, f: 1, e: 4}. What is prob of sequence mikk?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*y**4 - 58797*y**3 + 1240*y**2 - 423 wrt y?\nAnswer: 336*y - 352782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 24 = -4*w, -2*w = 3*z + 2 - 24. Suppose -2*x - z = -o - 2, 6 = 3*o + 5*x. Let v(b) = -3 - o*b**2 - 2*b**2 + 3*b**2 - 6*b + 3*b. Calculate v(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -490, -2030, -4596, -8188, -12806, -18450?\n\"Answer: -513*q**2 - q + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*x - 18, -21 = 3*r - 6*r - 5*x. Suppose -3*p = -5*w + 2*w + r, w + 4*p + 16 = 0. Solve 0 = -5*o - 3*u, 0 = -w*o - 3*o - 3*u - 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/2*2*7\/28\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/3982 and 46\/5467.\nAnswer: 1979054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/10)\/(1\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirteen quarters of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-2*sqrt(88)*2)\/(sqrt(56)\/(sqrt(21)\/sqrt(3))*-6) + 1)*5.\nAnswer: -10*sqrt(11)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a minute in seconds?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, r: 1, w: 1}. Give prob of sequence wlr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, u: 10}. Give prob of picking 1 r and 3 u.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(20\/7)*f**(-19\/5))**0)**(-12))**(-2\/7) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -3, -26, 2 in ascending order.\nAnswer: -26, -16, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9067557 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: Let y(l) = -l**3 - 9*l**2 - 6*l - 5. Let h be y(-8). Let o = h + 65\/3. What is the biggest value in -0.3, -0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -5*q + 525, 0 = a + 88*q - 87*q - 517. Calculate the least common multiple of a and 10.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -145, -149, -153?\n\"Answer: -4*n - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156 divided by 6644571.\nAnswer: 52\/2214857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6078493?\nAnswer: 6078493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7800503329 and 3.7.\nAnswer: -7800503325.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*k + k + 5*k)*(-1 + 3 + 0) + 2*k - 5*k + 2*k + (3*k - k - 3*k)*(1 + 1 - 4) + k + 0*k + 0*k + 83 - 4*k - 83 + 5*k - 3*k - 5*k to z*k + a and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 2*c - 2*c)*(4*c**3 + 0*c**3 - 2*c**3) + (-2*c**2 - 3*c + 3*c)*(-1181*c - 4*c**3 - 216 + 1181*c) - 4*c**5 - 4*c**5 + 3*c**5.\nAnswer: -c**5 + 432*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -7073800 to the nearest one hundred thousand.\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -60 + (6 - -5) + 16?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 9 + 13. Suppose -2 + i = c. What is the remainder when 25 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -6*i**2 + 0*i**3 + 0*i + 1\/4*i**4 + 0 + 0*i**5 + 1\/70*i**7 + 0*i**6. What is the second derivative of a(j) wrt j?\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 2*b**2 - 3*b + 13. Calculate w(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 240, 1075, 3324, 7695, 14896, 25635, 40620?\n\"Answer: 118*x**3 - x**2 + 12*x + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -10*k**3 - 8*k**2 - 279*k - 5. Let m(c) = -5*c**3 - 5*c**2 - 139*c - 3. Calculate -5*m(o) + 3*q(o).\nAnswer: -5*o**3 + o**2 - 142*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81626?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -59.\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -47128 - -0.3?\nAnswer: -47127.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from nnhzznhnznnhznhzznhz.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 174*c - 1212. Give i(162).\nAnswer: 732","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (759 - (0 - 0)) + (1 - 5). Let m = g + -297. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2))\/(b*b*b\/((b*b**(-2\/11))\/b))*(b\/((b\/b**(-1))\/b))**(-1\/4)*(b**2)**(-15)*b**(-7)*b**8 assuming b is positive.\nAnswer: b**(-321\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 1 = 7. Suppose 2*y = y + 3*u + 7, i*y = u + 9. Let n be 1 + (0 - 7) + y. Is n smaller than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 0. Let l(d) = 2*d - 5*d - 3*d**2 + q*d. Let p(w) = w. What is l(p(k))?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 21555490359054.\nAnswer: -21555490359050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Let r be (-182)\/(-84) - (-2)\/(-12). Suppose 3*v = -m + 29, v - 5*v + 36 = r*m. Calculate the remainder when 142 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = d + 101, 3*d = -5 + 20. List the prime factors of b.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 536, 538, 540, 542?\n\"Answer: 2*b + 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 122, -4, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5, -12, -1\/4, 16, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.273157um to millimeters.\nAnswer: 0.007273157","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11832 + -208168. Round s to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 420 and 287203980?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and (-32950)\/(-275) - (-2)\/11?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1880*o**6 - 2*o**2 + 281*o?\nAnswer: 225600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -830 (b) -25 (c) 11\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 6621.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -109355876648.7?\nAnswer: 109355876646.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39823?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-1*(-2)\/(-8)). Suppose -t - s + r = -3*s, 0 = t + 5*s + 3. Suppose -5*l + 17 = t. Solve l*y = 7*y - 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 86?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, -1, -66, 100.8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -3*n + 11105 - 652, -5216 = -2*i + 2*n. Calculate the remainder when i*(20\/(-28))\/(-5) is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 2*y + 2*y + y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/9197090 and -121\/10.\nAnswer: 9197090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(200))*4 - (3 + (sqrt(200)*2 - sqrt(200)) + sqrt(200)) - (3 + sqrt(200) + -2*sqrt(200) + sqrt(200) + (1*(sqrt(200) + -1) - sqrt(200))))**2.\nAnswer: 120*sqrt(2) + 809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -2*k + 48. What is the second smallest value in 1, -4, k, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1927564331 - 17*r**3 + 3*r**2 - 3*r**2 - 1927564331.\nAnswer: -17*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 - n**2 + 5*n**2)*(-4*n + 4*n + n) - n**3 - n**3 + 15*n - 10*n.\nAnswer: -3*n**3 + 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.5693 + 21.8637. Let q = -27.12 + y. Let h = q - 1.26. Round h to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1627148*x**5 - 814790*x**2 wrt x.\nAnswer: -97628880*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**5\/4 + 3387*m**4 - 54165*m**3\/4 - 74489*m**2\/2 - 20316*m = 0. What is m?\nAnswer: -1, 0, 6, 13544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -79, -82, -85?\n\"Answer: -3*k - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 12*t**2 + 4*t + 31. Let w be k(-9). Find the third derivative of w*i - 83*i**3 - 238*i - 88*i**2 wrt i.\nAnswer: -498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.790313 months to millennia.\nAnswer: 0.00014919275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, d: 3}. What is prob of picking 2 n?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 2. Let d(g) be the first derivative of -1\/6*g**6 + 0*g**u + 0*g**2 + 1\/3*g**3 + 1 + 0*g + 0*g**5. What is the third derivative of d(x) wrt x?\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**10\/10080 - o**7\/360 - o**4\/3 - o**2. Let l(r) be the second derivative of a(r). Find the third derivative of l(w) wrt w.\nAnswer: 180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/10 of a hour?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 - -20. Let j be (52 + -7)*(-12)\/h. Suppose -5*v - 4*v + j = 0. Solve 4*b + v*q - 12 = 0, 5*b + q - 16 = -3*q for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(11) + -2) - sqrt(891)*-2)*-5.\nAnswer: -80*sqrt(11) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11722?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -59 + 173. Suppose -3*v + 5*y + 46 = -b, 5*y + 60 = v. Calculate the remainder when v is divided by (59 + -58)*(17 - -2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*u - 666 + 109, -20 = 4*i. Let c = 198 + u. Does 20 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 91932648?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -80388 divided by 132\nAnswer: -609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-3576))\/(4\/(-8))*(-25)\/(-50)?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l - 13*l + 17*l - 9*l + 11*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/9*r**5 + 4\/9*r + 2\/3*r**4 + 0 - 2\/3*r**2 - 2\/9*r**3 = 0. Calculate r.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*1)**2 - ((sqrt(2)*1 - sqrt(2)) + 0).\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-6)*7952\/(-41748)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 - 49 = 2*q. Calculate the remainder when 3 - (q + 2 + -1) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-22)\/(-11))\/((-4)\/(-6)). Suppose -2*t - r = z*r + 18, -r + 12 = -5*t. Which is the nearest to 3? (a) -0.1 (b) -0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a245 + -119a?\nAnswer: 19056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8797 - -10070. Calculate the remainder when r is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 0*l**2 + 0*l + 0*l**4 - 1\/36*l**6 - 2\/3*l**3 + 1\/30*l**5 + 3. Let a(v) be the third derivative of h(v). Factor a(c).\nAnswer: -2*c*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k - 9000 = -18*k. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75)\/(-1*sqrt(3)))\/(sqrt(45)\/sqrt(9)*3).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 415489247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -718 + 728 - ((4 - 4) + 1 + -26)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34.015 - 34. What is h rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 18. Let n(y) be the second derivative of r - 2*y**2 + 4*y - 1\/6*y**3. Find the first derivative of n(m) wrt m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i + 2*i**2)*((-i - i + i)*(1 + 1 - 3) + 2*i - 1 + 1 - i - i + i + (-14*i + 33*i + 27*i)*(-6 - 3 + 2)*(-4 + 1 + 2)).\nAnswer: 648*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2687996*t - 2687991*t + 5375986*t + 12.\nAnswer: -t + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 7*b + 6. Give v(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3132683 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: Solve -45*d**5 + 615*d**4 + 5980*d**3 - 2660*d**2 - 58800*d = 0.\nAnswer: -14\/3, 0, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 594 = 6*l - 4*l. Let f = 90 + -90. Suppose f = 5*o - t - 0*t - l, -6 = 3*t. Is 19 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**4 + 145*v**3 + 465*v**2 + 475*v + 160.\nAnswer: -5*(v - 32)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(2\/5)\/o)**(2\/51)\/(o**10\/(o**(-6)*o*o)))**(-32))**(12\/5) assuming o is positive.\nAnswer: o**(457728\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**3 + 204*l**2 - 936*l + 736 = 0. What is l?\nAnswer: 1, 4, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2463 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 42*p - 7. Let o(h) = 21*h - 3. Calculate 3*n(i) - 7*o(i).\nAnswer: -21*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 297731.7us?\nAnswer: 0.00000344596875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 - 695 - (-1 + -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1932, -7836, -17686, -31488, -49248?\nAnswer: -70972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, k: 3, w: 3, z: 6, a: 3}. Give prob of picking 1 k, 1 w, and 2 q.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -k + 4. Suppose 0*n - 2*n + k = 0. Is n\/3 - (-164)\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(-6)*(12 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (-3 + 3 - -9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36609064?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 13*l + 8. Let m be (13\/65)\/((-4)\/220). Calculate a(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 509492482.\nAnswer: 2, 17, 229, 65437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17\/(85\/30)*((-4)\/(-24))\/((-14)\/42)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3045.61 rounded to the nearest 100?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 559 is divided by 273.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 577 a factor of 74268391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 44*i**2 + 2. Let a(m) = 956*m**2 - 3585*m - 1195. Let y(s) = s**2 - 3*s - 1. Let d(r) = -a(r) + 1195*y(r). What is d(k(o))?\nAnswer: 462704*o**4 + 42064*o**2 + 956","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3677 divide 2120001906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 6, l: 2, a: 1, k: 1, f: 2}. What is prob of picking 2 p and 2 f?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 25350 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 115 - 40 - 10*t**2 - 164*t**2 - 38 - 38 in the form m*t**2 + p + y*t and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18490186 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/2 of a centimeter?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 greater than or equal to -83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*u**3*v*w - 27*u**3 + u**2*v*w - 159*u*v + 3*v*w - 309*w wrt w?\nAnswer: 5*u**3*v + u**2*v + 3*v - 309","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -533*s**2 + 85*s**2 - 131*s**2 as m + q*s**2 + h*s and give q.\nAnswer: -579","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = 2*i. Suppose -i + 4 = 2*m. Suppose -14 = -2*b - 2*s, -m = 3*b + 5*s - 22. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/5)\/((a\/(a\/(a*a**(4\/5)*a*a)*a*a))\/a*a) assuming a is positive.\nAnswer: a**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + -1)\/(-5*12\/690). Let v = y - 67. Calculate the lowest common multiple of v and (-4 + 32\/12)*18\/(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/6 - 497\/(-21). Let n(a) = 4*a**3 + 3*a**2 + 5*a - 18. Let d be n(7). Calculate the greatest common factor of d and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/260)\/((-40)\/(-4800)*-24).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 38164 divided by 94?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.553? (a) 1\/2 (b) 0.08 (c) -0.5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03611792 less than 12.7?\nAnswer: 12.66388208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 - 224 + 11)*(5 - 4 - 3)*(7*q**5 + 0*q**5 - 3*q**5) - q**5 + 5*q**5 - 2*q**5.\nAnswer: 2010*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 21. Suppose -6 = -2*p + f. Let v = p - 1. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -13. Suppose -3*i + 5*f = -267, 0 = -i - 2*f + 3*f + 87. Suppose 6*x - 2*x - i = 0. What is the highest common divisor of d and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 8) to base 4\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-2) + 10 + 32. Let q(n) = 7*n**2 - 24*n + 47. Let v be q(3). Which is greater: f or v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 818 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -12*j**4 - 288*j**3 + 2402*j**2 - 4512*j - 7210. Let d(z) = 8*z**4 + 144*z**3 - 1202*z**2 + 2256*z + 3606. Let m(r) = -5*d(r) - 3*x(r). Factor m(n).\nAnswer: -4*(n - 25)*(n - 6)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q + 4. Let f be 130\/(-26) - (-2 - (1 + 8)). Determine c(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, l: 1, v: 4, c: 3, j: 2, b: 2}. What is prob of picking 2 c and 1 b?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-252)\/((-5)\/(-2) - 4) is divided by 58.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivlbbbblvvbcbbvbbbb. Give prob of sequence vc.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 4 = 5*x + 3, 4*w + 5840 = x + 5793 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7127?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -696.6 - -697. Which is the third biggest value? (a) -96 (b) -0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 7, -4, -2 in increasing order.\nAnswer: -4, -2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + a**2 + 4*a - 2. Let k be n(3). Let g = k - -8. Suppose 3*h = 3*u + 255, g = 6*u - 5*u + 5*h + 55. What is u rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -15*l. Let o(w) = 1 + 5 - 2 - 4 + 2*w. What is o(g(i))?\nAnswer: -30*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*((-5)\/2)\/(-5). Suppose -p + d*p = 2. Let t(s) = s**2 - s - 1. What is the units digit of t(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7, k: 4}. Give prob of sequence gk.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2655311 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, d: 2, v: 2, l: 1, e: 1, k: 2}. Give prob of picking 1 d, 1 z, and 1 e.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7462\/(-1148) + 1071\/(-42)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 6 = -2*i - 3*a, 5*a = 5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1816379293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*p - 247*p + 4*f - 18 = 0, 35 = -5*p + 5*f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1412 is divided by 59?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 296280.\nAnswer: 2, 3, 5, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 409, -1, 0.2, 0.4, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3) + 228\/27 + 3300\/(-330).\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.843144 months?\nAnswer: 0.0070262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 h when two letters picked without replacement from oohnonnnnnoninn.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/8 + 1)*4. Suppose -2 = -4*z + 2*g, -3*g - 2 = l*z - g. Let u(j) = j + 6. Let n be u(-5). Put z, -3, n in descending order.\nAnswer: n, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 6*n - 2*n)*(-2 + 2 + 2*n**2) + (-2*n + 3*n + 0*n)*(4*n**2 + n**2 - n**2) + 2 - 2 - 2*n**3.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1385619 by -1717.\nAnswer: -807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 27\/3 - (4 + -7). Solve -x = 3*o - z - 2*z, -2*o = -4*z + 18 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8215 is divided by 70?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**6\/360 - n**4\/6 - n**3 - 3. Let x(g) be the third derivative of h(g). What is the first derivative of x(j) wrt j?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*p**3 + 7*p**3 + 4*p - 8*p**2 + 5 + 11*p**2 - 10*p**2 to i + u*p + b*p**3 + l*p**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 51216744?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (60\/(-25)*1)\/((-2)\/30). Let x = -5 - y. Let q = -44 - x. Let s(d) = d**2 - 3. Let u(m) = m - 2. Calculate q*u(b) + 2*s(b).\nAnswer: 2*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 484 and 418968.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 139851753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 6 = -5*u + 7*u, -50*u + 3*o - 31 = 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -55, -97, -139, -181?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/4 and -157\/15498.\nAnswer: 30996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/128157 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 2*g - 2, -4*g = 4*z - 9 - 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -48*p**3 + 4*p**2 - 3*p - 1. Let r(t) = -49*t**3 + 3*t**2 - 2*t - 1. Let x(c) = -5*r(c) + 4*s(c). Is x(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1, 26, -3\/5, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 smaller than -2747399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 6:39 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -63949168?\nAnswer: 1\/63949168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 101 - -21. Suppose 5*c - 233 = 5*t + b, 0 = 2*c + 4*t - 130. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 381013830?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = f + 3*p - 10, 3*p = -5*f + 15. Factor f + 4*o**2 + 4*o**3 - 2*o**5 - 5*o**3 - 2*o**4 - 2*o - 2 + 5*o**3.\nAnswer: -2*(o - 1)**2*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.320759 rounded to three dps?\nAnswer: 0.321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(-18) + (-2)\/9. Suppose 0*f - 3*d = 2*f - 4, -12 = 2*f - 5*d. Let j be (-5)\/f + -1 + b. Solve 11 + 1 = j*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j**2 - 6 - 7 - 260*j + 18 + j**4 + 258*j - j**3 as i + x*j**4 + c*j**3 + h*j + q*j**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 less than 0.0799?\nAnswer: -186.9201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -981*c = -1826*c + 5915 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -3\/5, 114.\nAnswer: -4\/3, -3\/5, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from edscjcdccjejjcces. What is prob of picking 1 d and 1 e?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -9*p + 13*p. Let h be ((-48)\/(-28))\/p + 371\/49. Solve 0 = -x + 2*f + h, -5*f - 9 = 2*x + 13 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = -2*r + 5*o, -31*r + 24*r + 5*o = 100 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -19101*u + 2886. List the prime factors of h(-3).\nAnswer: 3, 20063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6973*k = -6981*k + 88 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -87771104 divided by -1186096?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 67.8, 0.5, 16?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 196, 392, 588?\n\"Answer: 196*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 13*a = 0. Let q(n) be the first derivative of a*n + 3\/2*n**2 + 5 - 2*n**3. Find the second derivative of q(t) wrt t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*b = -52, -4*m + 5*b + 56 = -0*m. Let r(j) = -324*j**3 + 325*j**3 - 14 + 0*j**2 - 9*j**2 + 2*j. Let u be r(m). Solve 1 = g - u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 289*g**4\/12 + 257*g**3\/6 - 2*g**2 - 269*g. Find the first derivative of r(a) wrt a.\nAnswer: 578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 663*b**2 - 24*b + 22. Let s(c) = -132*c**2 + 5*c - 4. Calculate -2*i(u) - 11*s(u).\nAnswer: 126*u**2 - 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 49, 55, 61, 67, 73, 79?\n\"Answer: 6*l + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -296 - -298. Sort -5, -2, 4, u in ascending order.\nAnswer: -5, -2, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = v + 15. Suppose 0 = -2*f - 1 + v. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 10*o**2 - 2*o + 20. List the prime factors of j(-10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -15*o**2. Let w(u) = 32*u + 27*u + 30*u - 90*u. Calculate w(q(z)).\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**2 - 3*q**2 + 2*q**2)*(-1 + 6 - 3 - 6*q).\nAnswer: -24*q**3 + 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 771?\nAnswer: 7710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 431, -5, 50 in ascending order.\nAnswer: -5, 50, 431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2 + sqrt(832) + -1 - sqrt(832)*-2*-1) + (sqrt(832) - (2 + sqrt(832))) + 5 + -2)**2.\nAnswer: -3344 - 128*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(324))\/(sqrt(216)*1))\/((sqrt(24) + sqrt(1536)*-1)\/sqrt(8)*4).\nAnswer: -sqrt(2)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -16. Let l be 63\/35 + (-12)\/15. Sort 0, l, q in increasing order.\nAnswer: 0, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13664.63 - -14345. Let x = -680.406031 + l. Let s = 0.036 + x. What is s rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1181580965 - -0.11816. What is d rounded to 7 decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 4*j - 464, g + 20*j = 18*j + 152. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -25*g - 321. Let y(k) = 4*k - 1. Calculate -u(x) - 6*y(x).\nAnswer: x + 327","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 85\/(-10)*324\/(-3672) + (-57)\/(-4)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 20 = 2*l. Suppose 5*h - l = 3*h. Let b(a) = 2*a**2 - a**h - 3*a**2 + 4*a**2. Let p(g) = g. Calculate b(p(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 1\/2*c**2 + 23 - 8*c. Suppose -t - 4*t = 25, 2*y + 5*t + 13 = 0. Give f(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-28827)\/(-21) - (1\/(-7))\/(131\/262). Is p != 1373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*d - 64 - 8 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 3.55\nAnswer: 17.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n - 228 = 10*n - 52 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 322863493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*m + 354 + 351 = -351. What is the smallest common multiple of m and (144\/(-21))\/((-2)\/56)?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40403 is divided by 295.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p + 59 - 59)*(-1 + 1 - 2*p**2) - 2*p**3 + 2 - 2 + (0 + 0 - p)*(0*p**2 + 0*p**2 - p**2) as u + l*p + r*p**3 + q*p**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4128934 divided by -2.\nAnswer: -2064467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**3 + 0*q**3 - 4*q**3)*(288*q - 327*q + 2*q**2 + 232*q).\nAnswer: 2*q**5 + 193*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1829 divided by 32?\nAnswer: -1829\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4471013465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116123?\nAnswer: 7, 53, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sp when two letters picked without replacement from ossopxpxx?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1161248 and 288.\nAnswer: 10451232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 divided by 943?\nAnswer: 209\/943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -89, -166, -243, -320?\n\"Answer: -77*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + -2. Let h be 10\/(-4)*(-432)\/60 - 5. Let m be (-1)\/(-56)*h + (-33)\/88. What is the fourth smallest value in m, x, -4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -2*t + 2, 0 = -2*t + 3 + 5. Differentiate 11 - 2 - 6*o**x - 2 with respect to o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -149*x**4\/4 + 125*x**3\/3 - 66. What is the third derivative of r(n) wrt n?\nAnswer: -894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 570845045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 294487 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 5*q**2 + 6*q + 5. Let l be g(-6). Let v = 8 - l. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 11, 6 in increasing order.\nAnswer: -1, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1, -1, 5 in ascending order.\nAnswer: -1, -0.2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 j, and 1 u when three letters picked without replacement from {d: 1, q: 2, j: 5, s: 1, u: 3}.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 310 + -126. What is the greatest common divisor of 1012 and i?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 18 - 16 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 1 - 5)*(-3 - 1 + 2) - 5 + 2 + 1 + (3 + 1 - 2)*(0 + 2 + 4))*(-b - b + 0*b)*(0*b**2 - 3*b**2 + 2*b**2) - b**3 + 4*b**3 + b**3.\nAnswer: 32*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 32. Suppose -4*b = -2*n + 14, -n = 3*n - d*b - 13. Let k = n - -20. Calculate the highest common factor of 136 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 7*u + 30. Let p(c) = 3 + 6 - 2*c - 5*c. Is p(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -385764 (base 9) to base 13\nAnswer: -82609","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*k**2\/13 - 102*k\/13 - 140\/13.\nAnswer: 2*(k - 14)*(4*k + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.521 + -0.621. Which is greater: j or -1\/17?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by 41842?\nAnswer: -23\/41842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 0*l - 5 = 3*y, 4*y - 5*l = 1. Let n be 15 + -9 + y + -3. Suppose -a + n*a = 673. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8520 to the nearest one hundred.\nAnswer: -8500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w + 5*w - w**3 + (0*w**2 - 4*w**2 + 2*w**2)*(w + 0*w + 0*w) + 5*w**3 - 27*w + 27*w.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2246159928 and 5.48187?\nAnswer: 2246159922.51813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 81*r**2 - 2*r - 1. Let y be m(-1). Suppose 38 + y = 3*q. Suppose 226 = 7*z - q. Does 19 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 4:55 PM?\nAnswer: 11:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1545, -17, 0.3 in descending order.\nAnswer: 1545, 0.3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215854 is divided by 43.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 - 2*t + 1. Let q be a(-2). Suppose 2*z + 158 = 2*m, -m - 209 = -4*m - 4*z. Let g = m - 10. Calculate the highest common divisor of q and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*x - 3. Is 2\/2*-1049*x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (19 + -1) - (-58589 + 58625).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = 4*m - n, -3*m + 2*n + 3001 - 5989 = -3005 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**3*w*w)*w**(-5)\/w)**11 assuming w is positive.\nAnswer: w**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8851 divided by 352.\nAnswer: -8851\/352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((-3 + 14 - 2) + 0) - 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 6. What is the units digit of ((-16)\/(-2))\/((-2)\/c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 7*i - 124. Let q(k) = k**3 - 14*k**2 + 14*k + 29. Let x(d) = d. Let c(p) = q(p) - 3*x(p). Let t be c(i). Solve -7 = 5*s + t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 + -0.3. Let p = -6 - -5.7. Let o be (5\/(-20))\/(1\/(-20)). Which is the nearest to z? (a) o (b) p (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*n**5 + 6*n**5 - 3*n**5 + (n**2 + 0*n + 0*n)*(2*n**3 - 3 + 3) - 5*n**5 - 25*n**4 + 25*n**4 + (-9*n**5 - 10*n**5 - 13*n**5)*(-5 + 3 + 3).\nAnswer: -41*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 562 - 2843\/5. What is the common denominator of -56\/11 and w?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -g**2\/2 + 2. Let h be j(-2). Suppose -c + 27 = -4*u, -h*u = 3*c - c - 74. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 312.919 - -0.081. Let u = p - 454. Put -1\/4, u, -3, -4\/5 in decreasing order.\nAnswer: -1\/4, -4\/5, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -506863013562779.\nAnswer: -506863013562784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1296 - 0.1996. Which is the closest to 1? (a) 0 (b) -5 (c) r (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2855 + -2852. Solve 2*h + l = -6, 0*l = h + 4*l + s for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in thirty-four fifths of a tonne?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-176)\/110)\/((-656)\/(-27880))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 2*n + 5. Suppose -4*u = -2*l - 20, 5*l + 4*u - 3*u = 5. Calculate k(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 82*m + 165*m + 3 - 89*m - 2*m**3 + 5 as r*m + k + p*m**3 + j*m**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (329289307*k - 329289307*k - 56543*k**3)*(0 + 3 - 1)*(5 - 5 + k) to t*k + j + a*k**3 + g*k**4 + n*k**2 and give g.\nAnswer: -113086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 392879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -2*s - 6, 13*n - 3*s = 9*n - 13 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - r = 16. Let t be (-5738)\/(-133)*(-14)\/4. Let y = r - t. What are the prime factors of y?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 117\/(-52) - -3 - (-14)\/(-8). Let y = -0.1 - -0.1. Let w = 3 - y. What is the nearest to c in 1\/2, 2, w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - n**2 - 11. Suppose 2*v = -2*v + 2*x + 20, 5*v - 31 = x. Let p(i) = i**2 - 7*i + 2. Let w be p(v). Suppose -3*d + w*d = 0. What is q(d)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 126 = -18*l. Find the first derivative of 16*p + l*p + 6 + 29*p wrt p.\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (1 - 4)\/((-828498)\/207120 + 6 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**4*v + 10310*q**4 + 6*q**3*v - 4*q**3 + 6*q**2 - 36*q*v - 2*q - 2021*v + 15 wrt q.\nAnswer: 48*q*v + 247440*q + 36*v - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 593\/4 + -147. Which is the closest to 2? (a) 4 (b) i (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58018619572.00000239 + -58018619941. Let p = 369 + n. What is p rounded to 7 dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19 (b) -0.2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -731.6 in descending order.\nAnswer: 1, -4, -731.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 11680.9506s?\nAnswer: 0.1351961875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9882*l - 19929*l - 1680 = -9927*l for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -11 - 2*d - 287 - 2*d + 26*d + 0*d. Let u be r(14). Solve 3*c - u = 2*g, 1 + 1 = 2*c + g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 6*d**2 - 7*d - 7. What is j(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 11:10 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*3 - (-8 + 11). Suppose -a = 3*i - 70, 2*a = 4*i + w*a - 92. Suppose -5*x = 2 - i. Solve 16 = 3*q + x*b, b = 2*q - q + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -9832240.7.\nAnswer: -983224.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2, 3\/4, -0.2, 1375, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + 52. Factor -3*y**4 + 0*y**2 + 20*y**3 + 6*y**2 - a*y**3 + 0*y**2.\nAnswer: -3*y**2*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -10*o - 1. Let p(r) be the second derivative of r**5\/60 - 5*r**3\/6 + 25*r. Let z(g) be the second derivative of p(g). What is z(m(w))?\nAnswer: -20*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 1\/60*p**5 + 0 - 1\/4*p**4 + 5*p**2 + 2\/3*p**3 + 0*p. Give b(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -75785*r - 606271. What is i(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4177690 and 978?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oaaalootooooccocogt. What is prob of sequence tc?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1253378100 by -11570.\nAnswer: 108330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-u - 2*u - 5*u)*(-6 + 2 - 1) + 19 + 159*u - 13 - 6)*(3 + 0 - 2).\nAnswer: 199*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**0\/j*j)**(-9\/7)*(j*j\/(j**0\/j*j*j))\/j**6 assuming j is positive.\nAnswer: j**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -25\/14, 3, 0.4 in decreasing order.\nAnswer: 3, 0.4, 0, -1, -25\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at most as big as 126502?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -232215*a**6 - 16*a**5 + 94*a**2 - 3*a - 2488?\nAnswer: -27865800*a**3 - 960*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = 12*y - 3. Suppose 0 = -3*a - 2*q + 49, 0 = -4*a - 2*q + y + 67. Suppose -d - 3*t + a = -0, 77 = 3*d + 5*t. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31 + 30. Which is greater: -2\/201 or w?\nAnswer: -2\/201","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*l + 81 = -13*l - 11*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 3:01 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 61451.7 centuries?\nAnswer: 6145.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d*d\/d**(1\/3))\/d)\/d*d**5)\/(((d\/d**(-1\/3)*d)\/d)\/d*d)**(-5\/2))\/((d\/(d*d**(1\/2)))**34)**(2\/17) assuming d is positive.\nAnswer: d**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 308*m - 3223. Determine q(11).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -441 - -442. Let d be 438\/14 + j + 18\/(-14). Calculate the greatest common factor of 279 and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1258 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-384)\/(-160)*(-35)\/7.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.054 - -3.614. Let i = -4.22 + h. Is 3 not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-6)*5 - -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 358111.\nAnswer: 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89, 82, 63, 26, -35, -126, -253, -422?\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4*sqrt(304) + (sqrt(19) + 1)**2*-5 - (sqrt(133)\/sqrt(28) - sqrt(19) - sqrt(152)\/(sqrt(8) + 1*sqrt(8) - sqrt(8)))*-4).\nAnswer: -128*sqrt(19) - 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248536930?\nAnswer: 2, 5, 499, 49807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 22319, 44639, 66959, 89279?\n\"Answer: 22320*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 285.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -82*l**4 - l**3 + 2*l + 224?\nAnswer: -984*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 20*q**2 + 15666*q\/5 + 586892\/5 = 0.\nAnswer: -4733\/50, -62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*7)\/(-12 + 13). Suppose j*z - 5*f = 3*z + 18, f = -4*z + 6. Suppose z*q = 3*u + 10, 7*u - 4*u + 5*q = 25. What is u rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -0.5, 4, 49, -27\/4, 1\/2.\nAnswer: -27\/4, -0.5, 1\/2, 4, 15, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {i: 3, c: 3, a: 1, x: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51.41 - 0.41. Let v = 107 + z. Let s = v - 171.6. Round s to 0 dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36817375 - 3\nAnswer: -36817378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2\/5)*j)**(7\/8))**(-39))**(2\/13) assuming j is positive.\nAnswer: j**(-63\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + i + 1. Let s be u(0). Let m = -8.3 + 8. Put 2, s, -0.1, m in decreasing order.\nAnswer: 2, s, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-40)*-2)\/(3\/(-10))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.094604 to three dps.\nAnswer: -1.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/80*4*((2 - 31) + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 601*w - 302*w = 297*w + 8*m + 56, 5*m - 40 = -5*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 360\/(-891) + 4\/18. Let k = -3\/77 - w. What is the nearest to 1 in k, 4, -2\/25?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.0066 + -9045.\nAnswer: -9043.9934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 7:46 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -30*r + 180. Suppose -863*q = -932*q + 414. What is b(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278905 to the power of 1\/2, to the nearest integer?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-one halves of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001015 to 6 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*y + 30 + 16*y - 29*y - 31 in the form v + i*y and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from itzzfftziiiettizfze. What is prob of picking 3 t?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 57*x**2 + 680*x + 1032. What is y(36)?\nAnswer: -1704","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 32, -3\/26, 0.4, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - (4 + (7 - 9) - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2616 and 666426.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -5*r - 15. Let z be i(-4). Let u(b) = 4*b**2 + 5. Is 12 a factor of u(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a. Let p = -59 + 60. Let g(u) = 28*u. Determine p*g(t) - 24*m(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - ((-8)\/(-52) - (-50)\/13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9, 10, 41, 90, 163, 266, 405, 586?\n\"Answer: y**3 + 12*y - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 17*n - 18. Let y be b(-19). Suppose -y*p = -18*p. Solve 0 = -p*q + 5*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/3, 4, 362, -5\/6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 830 is divided by 415.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 12 = -5*t, -6*s - 16 = -2*s - 4*t. Let d = -4 - s. Suppose d*w = -f + 25, -2*w + 4*w + 37 = f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1142*f**3 - 1140*f**3 + 10*f**2 - 369*f**2.\nAnswer: 2*f**3 - 359*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4229, -16968, -38219, -67994, -106305?\nAnswer: -153164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - g + 213 = -0*g, 2*g + 204 = 3*s. Let a = s + -36. What is the first derivative of 16 + 3*i - a*i**2 + 6*i - 9*i wrt i?\nAnswer: -68*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 373830*g**5 - 5*g**3 + 1511874*g**2?\nAnswer: 22429800*g**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5613.\nAnswer: 3, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 12*l**2 + 3*l - 3. Calculate the remainder when j(2) is divided by ((-3)\/9)\/(4\/(-108)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/9, -0.456, 0.07, -0.01?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 748*w**5 - 2*w**4 - 105*w**2 - 6*w?\nAnswer: 44880*w**2 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 2:16 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**4\/3 + 931*v**3\/3 - 21044*v**2\/3 + 145580*v\/3 - 90800 = 0.\nAnswer: 3, 10, 908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4*sqrt(7) + sqrt(7))**2 + sqrt(7) + 1 - sqrt(14)\/(-6*(sqrt(18)\/sqrt(9) - sqrt(2) - sqrt(2))).\nAnswer: 5*sqrt(7)\/6 + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36838658 to the power of 1\/3, to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19194067 is divided by 128.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 474720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, e: 5, s: 2}. What is prob of sequence kkss?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.9 - 3.6. Let o = c + 1.2. Let j = 2.9 - -1.1. Sort j, 1\/3, o in decreasing order.\nAnswer: j, 1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -25. What is the remainder when -1 + 3 + k - 2 is divided by 0\/(-1) - -1 - -12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1415 = -i + l - 401, 0 = -2*l - 6. Suppose -i = 8*o - 4643. List the prime factors of o.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 0.57.\nAnswer: 0.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -w + 4 + 46, -8 = -g + 4*w. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**2\/7 - 62478*x\/7 - 1996224\/7.\nAnswer: -3*(x + 32)*(x + 20794)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.4, 0.103, -3\/341?\nAnswer: -3\/341","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 1\/2, 3.4.\nAnswer: 1\/2, 3.4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1 + 1.5. What is the smallest value in n, -2, 0.7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12088186081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -9 + -77 + 92 + 11 + 23.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -25 (b) 3198 (c) 1.885\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 = 13*j + j. Suppose -10*h = -8*h + 26. Let d = h + j. Solve d = -2*m + 3 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 183 (base 16) to base 3.\nAnswer: 112100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 0 + 1 + 4*c**2 - 3*c**2. Let x(g) = 2 - 3 + 2. Suppose -145 + 138 = -7*m. Give m*b(t) - x(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from {a: 2, q: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7908294*h**2*k - 2*h*k + 5063*h - 96*k wrt h.\nAnswer: -15816588*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12620 + 12622. Solve 8*q - 10 = -s*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w + 2. Let v be u(4). Does 24 divide 2\/v - (-3696)\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 354\/(-295) - 1114\/(-120) and 25\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b. Suppose 3*s - 6 = 3*k - 0, 5*s - 10 = 4*k. Let n(i) be the first derivative of -3 + 0*i - 1\/2*i**s. What is r(n(m))?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 + 64. Let y = -180725.6 - -180768.600076. Let n = q - y. What is n rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/2 of a millimeter in micrometers?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = -7*o + 4*o. What are the prime factors of o?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 37 = -35. Let u = v - 15. Suppose 2*z + 5*y = -14, -7*z - 16 = -2*z + u*y. Is z greater than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6747257 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6\/71 - 367\/142. Calculate the common denominator of -93\/10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*s + 184*s - 429*s + 173*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**5 + 16*y**4 - 48*y**3 - 128*y**2 + 256*y.\nAnswer: 4*y*(y - 2)**2*(y + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand w - w - 2*w**5 - 12*w**3 + 12*w**3 + 19*w**5 + (3*w - 1 + 1)*(-2*w**2 + 2*w**2 - w**4).\nAnswer: 14*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1865 + 1873. Let t be 375\/(-100)*u\/(-60). Let -7\/2*k**2 - t*k**3 - 5\/2 - 11\/2*k = 0. Calculate k.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 16*h + 22. Let p be q(17). Suppose -39 - 1 = -p*m. Let s(c) = 4*c + m*c - 6*c + 5*c. Let u(k) = -k**2. Give u(s(v)).\nAnswer: -121*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -152, -251, -412, -641, -944?\n\"Answer: -v**3 - 25*v**2 - 17*v - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*p - 10692 + 10500 for p.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/(-12)*746865\/(-21) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.194 - 9.706. Let d = -9.900103 - c. What is d rounded to 5 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785902.\nAnswer: 2, 13, 167, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.339 - 13.299. Let r = p - -13. Which is smaller: -1\/4 or r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*q + 29*q + 19336. Suppose -5*c + q = 3*b, -2910 = -2*c - c - 5*b. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -9*s - 15. Give t(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + (sqrt(539) - (1 + sqrt(539) + 2)))**2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 88, 144, 254, 436, 708?\nAnswer: 1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 7*w + 11. Let v be o(4). Let m(f) = -f**3 + f**2 + 2*f. Let z be m(v). Solve r + r = z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80\/140*-1*-22*21\/6?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 464 and 2656?\nAnswer: 77024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -93 + 2b0?\nAnswer: 21d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9098950 - 0.742339.\nAnswer: -9098950.742339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 659452033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 1) + 4 - -4. What are the prime factors of (j\/(-9))\/((-10)\/495)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 2*j. Suppose -3*b + 3 = -a, b = 3*a + j*b + 9. Let c = -3 - a. Solve 2*d + 2 - 4 = c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + 0*y + y**2)*(1110 + 1750 - 3930) to the form l*y**2 + b + h*y and give l.\nAnswer: -1070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 10:45 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -69*k**3 - k**2 + k - 5. Is d(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 30*k**2 - 2*k + 0*k + 3*k - 90*k**3 - 29*k**2. Let j be c(-1). Let h = j + -32. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 - 22 = 2*l. Let v = l + -6. What are the prime factors of 1270\/v + 2\/(-4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20037055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxu when three letters picked without replacement from {r: 1, x: 4, u: 2, b: 2}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/(-12) - (7 - 3*93\/36). Put k, -0.1, 61 in ascending order.\nAnswer: k, -0.1, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -24. Let v(r) = r - 1. Let u(p) = -p**2 - p + 1. Let f(d) = u(d) - 2*v(d). Let i be f(-3). Sort 0, h, i.\nAnswer: 0, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -277*q = -289*q + 21612. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvf. What is prob of picking 1 f and 1 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 12*d + 1. Let v be x(-12). Let c = -182 - v. Is 12 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4 + 5*(2 + (sqrt(30)*2*6)\/sqrt(10)).\nAnswer: 9 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*o + 3*u - 0*u, 0 = 4*u. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 7:10 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -24*(-24)\/288*(-3)\/(-216)*-3\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2))**(2\/189) assuming s is positive.\nAnswer: s**(-1\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 63642569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20220221 (base 3) in base 11?\nAnswer: 3879","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9257330 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: Which is the biggest value? (a) -20 (b) 1771 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 587 + 6*i + 298 - 2*i + 298. Calculate u(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 20 = 3*r - 8, 0 = 5*r - 2*v - 28. Suppose 0 = -2*d, -3*q + 2*d - 3 = r*d. Find the common denominator of 50 and (-61)\/(-4) - (q + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-2\/9)*v**3)**(-6\/5))**(-1\/20))**13 assuming v is positive.\nAnswer: v**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -117 + 40 - 1899*l + 38 + 39 as a*l + n and give a.\nAnswer: -1899","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 25 = -b - 2*b, 2*b + o + 8 = 0. Let s(x) = 69*x + 133. Let a(z) = -11*z - 22. Let g(d) = 6*a(d) + s(d). Determine g(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588332587?\nAnswer: 19, 30964873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44254?\nAnswer: 2, 7, 29, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*w = -8 - 1, -5*t + 25 = 5*w. Let y(p) = p**2 - p - 8. Is 22 a factor of y(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -154\/6421?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**2*v + 2*g**2 + 2*g*t - 6*g*v - 2*t*v + 2130*t + 560*v wrt v.\nAnswer: -g**2 - 6*g - 2*t + 560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-3 - 2 - -11).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.04 (b) -2\/5 (c) 6 (d) -4\/5 (e) 80 (f) 3 (g) -10\/59\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -40*g**3 - 2*g**2 + g. Determine m(1).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 <= 17153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 9*u = 4*u - 10, u - 4 = -r. Let i = 28.61 + -26.2. Let l = 1.41 - i. Which is the nearest to -4? (a) r (b) l (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -6 - 14*v + 3*v + 10*v. What is the least common multiple of c(-11) and 3\/(1 + 0 + 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2054817 less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(12*17\/102).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 - 47117. Let g(i) = -2*i**2. Determine l(g(y)).\nAnswer: -8*y**4 - 47117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rarrraqrd. Give prob of sequence ar.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 4, 0, -6, 3\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -170, -167, -154, -125, -74, 5, 118, 271?\n\"Answer: m**3 - m**2 - m - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1305, -1436, -1585, -1758, -1961?\n\"Answer: -x**3 - 3*x**2 - 115*x - 1186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -84, -347, -778, -1377, -2144, -3079?\n\"Answer: -84*i**2 - 11*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2) - 184\/(-16). Let l = 6 - c. Let p = -0.5 - -1. What is the third biggest value in 0.1, l, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s. Let h(i) = -26*i**2 - i**3 + 3*i + 23*i**2 + 0 - 1. Let t be h(-4). Let f(z) = -z + t*z + z. Determine j(f(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 6. Solve 9*i**n - 7*i + 15 + 31*i - 3 = 0 for i.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2. Let k(z) be the second derivative of 10*z + 1 + 1\/12*z**4 + 0*z**2 + 0*z**3. What is k(j(v))?\nAnswer: 4*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -2, 0, 2 in descending order.\nAnswer: 2, 0, -2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 2*z - 7, 2*i + 5*z + 12 = 2. Let u(f) = 6*f**2 - f + 3. Let m = -47 + 49. Let j be u(m). Solve 0 = -0*p - i*p + j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 385 or 384?\nAnswer: 385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/4455 and 11\/567?\nAnswer: 31185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - i = -6, 0 = 3*d - 4*i + 2. Suppose a - q = 0, -4 = -2*a - d*q - 0. Calculate the remainder when a\/(-2)*-26 - 1 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125405 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**2 - 7*d + 1. Give v(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9040156?\nAnswer: 2, 2260039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (51*z - 25*z + 53*z)*(1 - 1 + 2*z**2) + 0*z**3 + 2*z**3 + 0*z**3 + (z - 2 + 2)*(-z**2 - 3*z + 3*z) - 3*z**3 - z**3 + 3*z**3 - 3*z**3 - 3*z**3 + 5*z**3.\nAnswer: 157*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 375713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, -4, -10, -10, 2, 32, 86, 170?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t - 6. Let n(m) = m**3 - 4*m**2 + m + 4. Let s be n(4). Let o(r) = -11*r - 17. What is s*z(u) - 3*o(u)?\nAnswer: u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 20 = 4*c. Let l(a) = a**3 - 10*a**2 + a - 7. Let v be l(c). Let n be (-10)\/65 - (-4)\/26. Solve 4*d + 2*f + 16 = 0, -v*f = -d - n*d + 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 6:54 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (19\/1 - 1). Let o be p*1\/(-3)*-435. What is o rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*(y\/(y\/(y**(-2)*y*y*y)))\/y))**(1\/2)*((y**(2\/9)\/y)\/y)**(29\/5))\/((y**(3\/2))**(1\/23)\/(y**(-2)*y**(2\/13))) assuming y is positive.\nAnswer: y**(-328907\/26910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79372050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 284 and 332728.\nAnswer: 23623688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 15 = 5*r, 0 = r - 4*o + 8*o + 9. Suppose 145 = -3*k - d, r*k + 2*d = 4*k - 143. Does 48 divide (-4)\/(-7)*k\/(-14) - -94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279853218917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from baagggaaabxgoogabag. What is prob of picking 3 a?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + (-23 - 2) - (6 + -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*m + 3347 = 3197 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**4 - 3*t**4 + 7*t**4 + (4*t + 3*t - 6*t)*(-2*t**3 + 0 + 0) + 1 - 2*t**4 - 1 + (7*t**3 + 25*t**3 - 3*t**3)*(-4*t + t + 4*t).\nAnswer: 30*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(0 + 272\/32 - (-2)\/4). Which is the third biggest value? (a) -4 (b) 1.04 (c) w (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*f - 20, -2*f + 7 - 35 = 4*q. Let i = q + 16. Let h = 10 - i. Solve 5*t - 4*t + 4 = h for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235891753?\nAnswer: 2053, 114901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0586 + 70?\nAnswer: 69.9414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2332.33911 seconds in days?\nAnswer: 0.026994665625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 5\/2, -0.4 in ascending order.\nAnswer: -4, -0.4, 0, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 57 + -28. Let x = 28.948 - h. What is x rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-2295))\/((-14432)\/(-576) + -25)\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*f**3 - 12*f**3 + f**4 + f + 0*f + 2*f**2 - 3*f to z*f**4 + h*f + n*f**3 + a + o*f**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2356247*g**2 + 4712695*g**2 - 2356315*g**2.\nAnswer: 133*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*a = 2. What is the tens digit of a\/(3\/6) + 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*b - 10*b + b**4)*(27*b + 32*b - 8*b).\nAnswer: 51*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -0.9, -0.3, -4 in descending order.\nAnswer: -2\/7, -0.3, -0.9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102.99457 - -0.00543. What is the closest to 2\/3 in 0.2, r, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -4*o + 666, 5*o - 378 = 3*a - 1017. Let u = a - 82. Suppose 2*t - u = -52. What are the prime factors of t?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 68968524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48 and 3576?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/28)\/((-9)\/(-6))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4430 and 71323?\nAnswer: 713230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -0.012391624184.\nAnswer: 5.012391624184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 r when two letters picked without replacement from {w: 1, n: 4, d: 1, r: 2, h: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3816377 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 10*f**3 - 53*f**2 + 24*f - 33. Let b be w(5). Let 7\/2*a**2 - 11\/2*a**4 - 12*a + 2 + b*a**3 = 0. What is a?\nAnswer: -1, 2\/11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-4*sqrt(21)*-1 + sqrt(756)*3)\/((sqrt(693)\/sqrt(99))\/(sqrt(27)\/sqrt(27))).\nAnswer: 5 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -61 + 21. Let j = g + 14. What is the third derivative of -d**j - d**2 + 0*d**2 + 0*d**4 wrt d?\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-1 - 1) + -21. Let q = s - -47. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 83302 (b) -0.4 (c) -7\/4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrs when three letters picked without replacement from xxexrexrrrnxnxrsnxns?\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/96 and 67\/176.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 38 = 2*w. Let c = w - -5. Let z = 63 + -316\/5. Sort z, -1\/3, c.\nAnswer: c, -1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*n - 71 = -36*n - 10*a + 41 - 48, a - 1 = 0 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 567*k**2 + 221*k + 1484. Is a(-7) a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - 110110110?\nAnswer: -110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5*42\/90).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -8\/1155*x**7 + 0*x**3 - 1\/55*x**6 + 0*x**4 + 0 - 1\/1848*x**8 + 0*x**5 - x**2 + 0*x. Factor v(r).\nAnswer: -2*r**3*(r + 2)*(r + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 230\/(-30) + (-2)\/6. Suppose -578*a + 536*a = 210. What is the smallest value in a, -3\/2, s, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1440 - -11589\/8. Calculate the common denominator of o and -51\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2\/9 + 242*j\/3 + 1444\/9 = 0.\nAnswer: -361, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16147 + -30878. Let k = -14731.08321 - u. What is k rounded to 3 decimal places?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 1244249813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5421a4 (base 11) to base 15.\nAnswer: -121c11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1214004 + -4120?\nAnswer: -1223124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162 and 104784?\nAnswer: 2829168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1221 (base 6) to base 7\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -71\/67?\nAnswer: -71\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 45\/(-25) + -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 a when three letters picked without replacement from {j: 5, h: 2, a: 13}?\nAnswer: 13\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2. Let d(h) = 15 - 37 - 10*h + 22. Calculate d(j(v)).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 225\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (5 - (-5 - -9)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30699 is divided by 224?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -4, 608, 2, -2.\nAnswer: -4, -2, 2, 6, 608","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -42. Let c = -3 + 4. Which is greater: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5059 + 5061. What is the closest to b in 2, 2\/87, 1\/3, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*x + 4280020 = 0, -8073667 + 1653662 = -3*t + x. What is t rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28\/3 - 32\/3. Let y = -380 + 375. Which is the nearest to -6? (a) y (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -33*d**2 - 66142*d + 54794081.\nAnswer: -66*d - 66142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*((-68)\/12 - -5). Calculate the greatest common divisor of 16 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 4*y + 12 = 0. Let b be (21\/6 + -3)*y. Sort b, -3, -4.\nAnswer: -4, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-10)*(-56)\/756*-90\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and 3055.\nAnswer: 42770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 - (-2 - (1 + -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 95*n**2\/7 - 11738*n + 74304\/7.\nAnswer: (n - 864)*(95*n - 86)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 198 and 2030274.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 7:51 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94065840?\nAnswer: 2, 3, 5, 11, 37, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 101193 + -71530. Is i 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 65951586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 22*d**3 + 84*d**2 + 158*d + 96. Let s(r) = -7*r**3 - 28*r**2 - 53*r - 32. Let n(u) = 10*s(u) + 3*x(u). Factor n(p).\nAnswer: -4*(p + 1)*(p + 2)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 125909?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w. Let v(c) = 28*c - 2. Calculate -4*b(t) + v(t).\nAnswer: 24*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 + 5*g**2 - 4. Let w = -2 - 5. Let d(k) = k**2 + 6*k - 2. Let y be d(w). Give p(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * -9938191\nAnswer: 198763.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*u + 2*y - 22, 0 = 2*u - 4*y - 28. Suppose u*z - 11*z = -75. Solve -4*o = -7*o - z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.02, -1, -2\/15 in increasing order.\nAnswer: -1, -2\/15, -0.02, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80770 is divided by 1452.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 487235*z - 3897876. Calculate b(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q + 19. Let a be u(9). Let w = a + 30. Let s(i) = i**2 - 6*i + 5. Let t be s(5). Put t, -4, w in increasing order.\nAnswer: w, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-5)*2190\/(-1752)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 311588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**2*y*y*y**(2\/3)\/y*y*y*(y\/(y\/y**(-2\/11)*y))\/y*y*(y\/(y**(-2\/5)*y))\/y assuming y is positive.\nAnswer: y**(641\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 899 - 346. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a meter in millimeters?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -43596.4 * -14\nAnswer: 610349.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 7. Suppose -m - 2*m = -v + 8, -5*m - 15 = o. Let g(q) = -2*q**3 + 2*q**2 + q + 1. Let i be g(2). Which is the smallest value? (a) 0.5 (b) v (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2432\/161955 + 4\/2745. Is 0 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3*t - 709*b**2*s**3 - 4*b**2*t + 2*b*s**2 + 2*b*t - 1090*b - 2*s**3*t - 3*s**3 wrt b?\nAnswer: -6*b*t - 1418*s**3 - 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478 is divided by 343.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l**3 - 5*l**2 + 3*l - 2. Let v(a) = 5*a**3 - 6*a**2 + 3*a - 2. Give 5*v(u) - 6*y(u).\nAnswer: -5*u**3 - 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 689264577 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 16 = 2*k, -3*k + 3 = -3*f + f. Suppose 3*i - 4 = -v, -3*i + 3*v + 18 = -6. What is the third derivative of 1 - 1 - 4*a**2 + f*a**i + a**2 wrt a?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + u - 12 = 0, 0*u = 4*y - 5*u - 12. Suppose 4*n - y = 3*n. Solve -m - m = -n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jp when two letters picked without replacement from {p: 2, s: 1, j: 2, o: 7}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3667, -3662, -3657, -3652, -3647, -3642?\nAnswer: -3637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rc when two letters picked without replacement from tgcrwgtgggcc.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m + 5 = 2*l, 3 = 5*m - l. Suppose -r = -3 + m. Let b(i) = i**2 - 5*i - 6. Let a be b(6). Solve a*h - 10 = -r*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -7*f**2. Let m(g) be the second derivative of 5*g**4\/4 - 5*g. Let u = -9 + 22. Let i(r) = u*q(r) + 6*m(r). Let b(h) = -3*h. Determine b(i(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 + -59. Which is the fourth biggest value? (a) 2 (b) m (c) -3\/10 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 352*j + 36420 = -270*j - 17072 for j.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 997086.\nAnswer: 2, 3, 137, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2723 rounded to 2 decimal places?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-14 + 10) + (-14)\/(-18).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.07 (b) -2 (c) 1\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4*b + 13*f = 16*f - 9, 88*f + 401 = 5*b - 105*f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20827 and 5192.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4335990 is divided by 394180?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-17)\/((q\/(q\/q**1))\/q)*q**18*q**3)**(-2\/27) assuming q is positive.\nAnswer: q**(-8\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 - 11. Let v(q) = 4*q - 9. Calculate v(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 115.2 + -119.192. Let j = -4 - d. Round j to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o + 2. Let a(q) = 7*q - 4. Suppose 3*c = 11 + 1. Let n be c*((-34)\/8 + 3). Let x(s) = n*w(s) - 2*a(s). What is the first derivative of x(z) wrt z?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*o**4 + 33*o**4 + 49*o**4 + (6*o - 6*o + o**3)*(1 - 3*o - 1) + o - o - 2*o**4 to w*o**4 + l*o**3 + k*o + d + s*o**2 and give w.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x**2 + 15*x + 14. Let s be f(4). What is the units digit of 231\/3 - (s - -7)*-3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**2\/3 - 11057*c\/3 + 29464 = 0. Calculate c.\nAnswer: 8, 11049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(2 + -2*(-4 + sqrt(11) + -1 + -2*sqrt(1100) + 2 + -6*(sqrt(275) + (sqrt(275) + -1)*-2 + sqrt(275))))**2.\nAnswer: -101448 - 14592*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -43*b**2. Let g(p) = -1952*p**2. Give k(g(h)).\nAnswer: -163843072*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28670 - 28670.000031447. Round s to seven dps.\nAnswer: -0.0000314","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -38*y + 26279. Let s(i) = -15*i. Give f(s(u)).\nAnswer: 570*u + 26279","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 3. Suppose u + 2*v = -3, v - 3 = -3*u + u. Suppose u*g + 3391 = 5*j, 3393 = 5*j - c*g + g. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 5:50 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 2*b + 4. Let l be h(-2). Let n(z) = -z**2 - z. Let p be n(-1). Let m(y) = y**2 + 3*y + 2. Let t be m(-3). Solve 0 = t*a - p - l for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14002 is divided by 6977?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286258 is divided by 1322?\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 487171119?\nAnswer: 3, 23, 37, 190823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 7*w - 25. Sort 2, -0.4, w in decreasing order.\nAnswer: w, 2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 21*i - 31*i = -4*i. Solve -10*z + 5*z - 3*q - 25 = 0, -5*z + 4*q - 25 = i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -16. Let c be 2*(h - (-20)\/8). Round c to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -400 + 396. Is -57 less than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2)\/c)**2\/(c**(-2))**21 assuming c is positive.\nAnswer: c**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - 16. Calculate the remainder when (a\/(-63))\/((-2)\/(-747)) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*k - 24 = 0, i - k - 6 = 2*k. Let p be 12\/(-56)*-12*112\/i. Suppose x - 14 = -8. Calculate the highest common factor of x and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 604.\nAnswer: 1\/302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 2*l**2 - 4*l + 35. Calculate the remainder when c(4) is divided by 42.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.0384, -2\/5 in descending order.\nAnswer: 0.0384, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 7) in base 5?\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -159843537 by 15141.\nAnswer: -10557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49107.\nAnswer: 3, 16369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (-4)\/(184\/42). Let d(q) = 2*q**3 - 19*q**2 - 6*q - 41. Let m be d(10). Do v and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -308, -7\/2, -4 in ascending order.\nAnswer: -308, -4, -7\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (2*sqrt(7)*-2 - sqrt(175)*1) + sqrt(448) + 3 + 5 + -5)**2 + -2.\nAnswer: -2*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4089002*v + 671 + 4089154*v + 235. Determine h(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*c = 14, 8*c + 14 = 3*f + 6*c. What is the third derivative of 4*o**f + 44*o**6 + 0*o**2 - 82*o**6 wrt o?\nAnswer: -4560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(7) - sqrt(5040)\/sqrt(5))*-2.\nAnswer: -88*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30851916?\nAnswer: 2, 3, 251, 10243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 13. Let f(u) = -4*u + 7. Let a be f(5). Let q = a + 18. Solve -d = -v, -q*v - 4 = d - h*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/28*1)\/(12\/14).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1037, -1\/4, 2, 46?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -35*h + 150. Let q be m(8). Let o = q - -150. Calculate the highest common divisor of o and 340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/2, 3, 23, 2.88, 106\/13, -0.2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1600 - -1609. Solve g + j + 0 + 5 = 0, 3*g = 3*j - d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, h: 2, y: 9}. Give prob of picking 2 y and 1 h.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1474 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20 + (-2526)\/159 - 4. Suppose -2*b = -3*b - 1. Let f be (-1 - b) + (-3)\/12. Do n and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27.3 + 25. Let l be (-16)\/20 + 58\/85. What is the second biggest value in r, 0, l, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -646 + 645 - 1199*b + 907*b + 3878*b + 1466*b in the form x + w*b and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/605817 and 16\/3735?\nAnswer: 3029085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111010000 + -10101101100110000?\nAnswer: -10101011101100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6562279351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15562909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 2. Suppose 0 = 4*t - c*g - 68, -2*t + 2 = -t - 4*g. Does 8 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -26*s**2. Let l(m) = 13*m**2. Determine z(l(o)).\nAnswer: -4394*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/((i**29\/i*i)\/i)*i)**5\/(i**(-2\/53)*i)**(-5\/7) assuming i is positive.\nAnswer: i**(-46120\/371)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6375*k**3 - 2*k**2 + k + 1. Let z be q(2). Let p(l) = -z*l**2 + 120313*l**2 + 3*l + l + 64014*l**2. Let v be p(3). Round v to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/2 + 8753*g**2 + 74507529*g\/2 - 9285967638.\nAnswer: (g - 236)*(g + 8871)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 25*y**2 - 23*y + 23. Determine r(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 7:48 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 42 = -3*z, -3*z - 5*a = -0*a - 45. Is (2395\/z)\/(-3*(-2)\/12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 3.4. Let h = -15 - -44\/3. Suppose -d - l + 17 = -6*l, 4*l = -5*d - 2. What is the closest to i in h, d, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/28)*t**(-4\/31) assuming t is positive.\nAnswer: t**(-143\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2. Let r(b) be the second derivative of -4*b**3\/3 + 2*b**2 - 2*b. Let y(u) = 7*u - 3. Let d(c) = 3*r(c) + 4*y(c). Give m(d(w)).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.1172816 + 119?\nAnswer: 189.1172816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58822 is divided by 14704?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s + 8. Let k be v(-6). Let t be 3*(k + 0 + 1). Is t - (-5)\/(5\/2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 209485*r**2*w**5 + 3*r**2*w**3 + 2618*r**2*w + 4*r**2 + 15 wrt w?\nAnswer: 4189700*r**2*w**3 + 18*r**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.9 + -2. Let k = -0.1 + x. Let u = 0.2 - k. What is u rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of b**5\/30 + 5*b**4\/24 - 8*b**2. Let u(m) = -m**2 - 2*m. What is -4*h(s) - 9*u(s)?\nAnswer: s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/792563 and 32\/5.\nAnswer: 3962815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 16*l**2 - 2*l + 33. Give f(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 92967\/(-945) + 4\/(-18). Let s = i - -99. What is the closest to 8 in s, -2\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 4*q**2 + 8303624*q - 66429248 = 0.\nAnswer: -2075914, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32.981 - -0.181. Let t = q - -32.7999823. What is t rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62 and 519638?\nAnswer: 16108778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9.7899, 3, 11, 4 in descending order.\nAnswer: 11, 9.7899, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -189\/167 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13581 and 2133?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/9)*a\/a**(-10)*a*a assuming a is positive.\nAnswer: a**(115\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 c when three letters picked without replacement from ccccocoo?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*f = -16. Suppose 0 = f*d - 8 - 4. What is the derivative of 2*l + 2 - 3 + d wrt l?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3429287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2. Suppose -5*b - 4*x = -0*b + 2, -4*x = 12. Let w(u) = 11 - b*u**2 - 11. Calculate w(n(y)).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = -3*k + l - 10, 5*k = -4*l + 5. Suppose -k*c - 5*z = -70, -4*z = 2*c - c - 29. Calculate the lowest common multiple of c and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -5*o**2 + 2*o. Let b(p) = -p**2 + p. Let z = -3 - -5. Suppose -2*f + z = -2. Let y be 0 - (1 + -1*f). Give y*i(a) - 4*b(a).\nAnswer: -a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 19, 10?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**4 + 3*c**3 - 346*c**2 - 13613*c.\nAnswer: -12*c**2 + 18*c - 692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1176, -1531, -1886, -2241, -2596?\nAnswer: -2951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 793798586 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 153*i**2 + 188*i**2 - 35 + i - 516*i**2 + 184*i**2 to t*i + p + v*i**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 760*v**4 + 5*v**5 - 726*v**4 - 3*v**5 + (4 - 2*v**2 - 4)*(2*v**3 + 1 - 1).\nAnswer: -2*v**5 + 34*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*m + 20*m - 38*m + 133*m + 7650 = 0 for m.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*f + 21*f - 44*f + 11 + 45 + 2*f**2 - 13.\nAnswer: 2*f**2 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 102 = -3*y, y + 8*m = 3*m - 46. Which is bigger: y or -32?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-504)\/(-80))\/(4\/20*7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 173288749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 693 (c) 2\/63 (d) 51 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110100 (base 2) to base 10.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xc when two letters picked without replacement from xxxocxxxxxxcxx?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1772057 (base 8) to base 9\nAnswer: -874031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a*l*n - 8*a*n - 138*l**4 - 3*l**2*n + 2*n - 5 wrt l?\nAnswer: -a*n - 552*l**3 - 6*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -0.04, 1.028, -0.5, 1 in ascending order.\nAnswer: -3\/2, -0.5, -0.04, 1, 1.028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35.5 - 35. Sort 4, c, 3\/4, -4 in decreasing order.\nAnswer: 4, 3\/4, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3 - 5)*(14*h**4 - 12*h**4 - 10*h**4) in the form y*h**4 + i*h + k*h**2 + g*h**3 + u and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 17448859.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*v = -15, -3*v - 15 = 7*p - 6*p. Put 5\/2, -0.1, -2.5, p, 10 in increasing order.\nAnswer: -2.5, -0.1, p, 5\/2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 4 + (1 - 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 101 + 42*p + 30*p + 22*p - 90*p as i + f*p and give i.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116876 and 18202?\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (6\/8)\/(352\/8448)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15985 (base 10) in base 6?\nAnswer: -202001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 0*y**4 + 1\/10*y**5 + 17*y**2 + 0*y**3 - 3*y - 11 + 7\/10*y**6. What is the first derivative of j(r) wrt r?\nAnswer: 84*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/2 - 1260\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2\/19)*d\/(d*d**(-2\/11)))\/(d\/d**0)**(-9\/2))\/((d*d**(-1\/2)*d*d)\/(d**(-1\/4)*d)*d**(-2\/3)\/(d\/(d**(-3\/7)*d))) assuming d is positive.\nAnswer: d**(68851\/17556)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*c - 53*c = 26 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45972401?\nAnswer: 45972401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*z + 4*z. Let n = z + 23. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -139*q - q**2 + 2 + 143*q + 2*q**2. Let c be -2 + (-2 - -3)*-2. Let n be m(c). Solve f + 0*f = n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 116 - -44. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3724 + -3724.2. Let f = 3.06 - 0.06. Put -10.7, h, f in increasing order.\nAnswer: -10.7, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 25*g + 429. Let q be f(-17). Solve 5*d - 4*t = -t - 4, q*d + 14 = -3*t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*k**2 - 70*k**2 - 100*k**2 - 58*k**2 + 77*k**2 in the form b*k**2 + w + j*k and give b.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*s**2 + 10044*s - 42784.\nAnswer: -2*(s - 382)*(13*s - 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 41, 41, 23, -19, -91, -199, -349?\nAnswer: -547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3496?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 22 - ((-4768)\/(-256) - 15)?\nAnswer: -21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/1385825 and 3\/55433.\nAnswer: 1385825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/7920 and 149\/15483120.\nAnswer: 510942960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -30132 (base 4) to base 8\nAnswer: -1436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 8:07 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 286462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-6))\/((-1)\/(-6)). Suppose 0*w - 30 = f*w - 3*g, 5*g + 37 = -3*w. Let s = w - -27. Solve z + 7*m - 18 = 2*m, -5*z = -2*m + s for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -740 divided by 5\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 8*q**2 - 14*q - 9. Give b(9).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k. Let b(y) = -2*y + 1. Let l(u) = u - 1. Let v(g) = 6*b(g) + 6*l(g). Determine v(f(w)).\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -52, 10, 72, 134?\n\"Answer: 62*s - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h - h - h. Let l(y) = -3*y**2 - 4*y + 4. Let f(z) = 3*z**2 + 3*z - 3. Let o = 36 - 39. Let j(i) = o*l(i) - 4*f(i). Give k(j(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 989698 is divided by 4519?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.33 + 0.33. Let j = 75 + -70. Which is the nearest to 0? (a) j (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 7:00 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-248 + 129 - -2) + 197?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2082 is divided by 108.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11275.\nAnswer: 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-168)\/2772)\/((58\/(-377))\/(9\/(-13)))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2323432?\nAnswer: 2, 290429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 44.1953.\nAnswer: -176.7812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a tonne in kilograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 167*s - 3006. Let r be v(18). Let h(a) = a**2 - 8*a + 6. Let f be h(7). Put r, -4, f in descending order.\nAnswer: r, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (26\/15067)\/(3\/6*38). Which is bigger: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 89*f + 33. Let b(x) = 15*x - 1. Let s(a) = 6*b(a) - k(a). What is s(16)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -98 + 31. Let o = -133\/2 - v. Let p = -0.39 - 9.61. Which is greater: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*y + 575028 = 576316 for y.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rsrrslsrressrssss. Give prob of sequence rrsl.\nAnswer: 9\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/13704 and 35\/6852.\nAnswer: 13704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p\/(p*(p*p*p\/p**(-7\/2))\/p))*p**(8\/7) assuming p is positive.\nAnswer: p**(107\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 104560 from -429.2.\nAnswer: -104989.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8181544.\nAnswer: 2, 7, 146099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 9:41 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*k + 4*q + 17, k - 4*q = 11. Suppose 4*t - 3 = -k*w + 6*t, 0 = w - t. Solve 5*g = -4*a + 24, -w*a - 8 = -3*g + 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -7*c - 46. Determine d(6).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -685423891 or -685423892?\nAnswer: -685423892","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4659287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*i - 1 + 38*i + 1.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 + g**2 - g**2)*((3 + 2 - 4)*(2 - 3 - 1) + 2 - 4 + 3 + 5 - 3 + 11).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, k: 1, u: 1, l: 1, p: 1}. Give prob of sequence uuk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.17 + -2?\nAnswer: -6.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1282a43 (base 14) to base 8\nAnswer: -42015723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2862 by -1.\nAnswer: 2862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.02 + 0.9. Let n = -0.62 - f. Which is the closest to -3\/5? (a) 0 (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 347504 and 31968.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16994, 67698, 152110, 270236, 422082, 607654, 826958?\nAnswer: 1080000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*(-4)\/1284*(-5622)\/7496?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -24, -40, -62?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + (107 - 72 - (-12 + 42)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 10 = 5*b. Suppose -2*j - l + 2 = -0*l, 0 = -j + b*l + 23. Is (j + -5 - -4) + 117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -144 - -148. Suppose -3*w + 10 = -b - q*b, w + b - 6 = 0. Suppose 0 = v + 2*v + 3. Put -4, v, w in ascending order.\nAnswer: -4, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 + 16*l**2 - 32*l + 92. What is g(-10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(2\/5))\/(t**4\/t)*((((t\/(t\/(t*t\/(t*t\/(t\/(t**(-1)\/t))))))\/t)\/t)\/t)**(-1\/11) assuming t is positive.\nAnswer: t**(-7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -5*l - 44. Let p be y(-8). Let x be 5\/((-10)\/(-134)) + p. Suppose b = 6*b - 45. Calculate the greatest common factor of b and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 146834284 to the nearest integer?\nAnswer: 12118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 7596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 - 98748*o**2 + 3951120*o - 39515200.\nAnswer: -(o - 20)**2*(o + 98788)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b1 (base 12) in base 3?\nAnswer: 101021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10390872 to the nearest integer?\nAnswer: 3223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**9*b*b*b))\/(b**(-6)\/b))**25 assuming b is positive.\nAnswer: b**(-125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 - 88. Let d = -179 - -253. Let p = d + y. What is the remainder when p is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 951753 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (33 - 28) + (-7 - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 18\/5 of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 + 1008678*l - 84785942307.\nAnswer: -3*(l - 168113)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 2 (c) -8\/5 (d) 232 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7863308107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15 + 357\/(-17) + 1*(-66)\/(-2). Solve 3*a + 3*l - 21 = 6*l, 0 = -a + 5*l + q for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**4\/12 - 59*i**3\/6 + 31*i**2 - 2*i - 182. Let z be u(58). Solve -40 = -5*n + z*r + 5, -n = r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 2*t**5 + 4 + (6*t - t - 4*t)*(-t**2 + t**4 + t**2) + 125*t**2 - 228*t**2 - 120*t**2 - t**5.\nAnswer: -2*t**5 - 223*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114672160.\nAnswer: 2, 5, 131, 5471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4869 - -4976.04. Round y to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1290 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -437546*c - 2. Let u(m) = -1255*m**2. Calculate d(u(q)).\nAnswer: 549120230*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 94*p**3 - 9310*p**2 - 18592*p + 808.\nAnswer: 2*(p - 101)*(p + 2)*(47*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1679276 divided by -8?\nAnswer: 419819\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 17055, 16973, 16893, 16815, 16739?\n\"Answer: h**2 - 85*h + 17139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.47674ng in grams?\nAnswer: 0.00000000347674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -1\/6 (b) -0.21 (c) 2\/207 (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8316.85 kilograms in grams?\nAnswer: 8316850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + -29. What is the units digit of (-3)\/15*-5 - a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 2*z + 1. Let q(h) = 4*h**2 - 8*h + 3. Let c(m) = -3*g(m) + q(m). Factor c(r).\nAnswer: r*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from {w: 1, r: 1, c: 2, p: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 216.57786 months to years.\nAnswer: 18.048155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 8:32 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10 - (-10 - (-22 - -6)). Let j = -6 + 2. Let q be (j + 4)*(1 + 0). Solve 2*a - a + 4*y + 9 = q, -6 = i*a + y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*n - 9*n**3 + 30 - 30 - 173*n - n**4 - 6*n**2 = 0 for n.\nAnswer: -8, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152 is divided by 109?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 460 divide 349140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20434, 40665, 60896, 81127, 101358?\n\"Answer: 20231*f + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/3 and 76\/455112465.\nAnswer: 455112465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 6. Let a be t(0). Suppose -2*i = -5 + 1. Let n(l) = -i*l**2 + 2 + 6 + 30*l - 23*l. Let q(o) = -4*o**2 + 13*o + 15. Calculate a*q(v) + 11*n(v).\nAnswer: 2*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201110 + -22222?\nAnswer: -1001102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + k - 17 = 4*k, 2*x - 3*k = 11. Let w = x - -6. Suppose -w*s - 9 = -2*m + 11, 5*s + 10 = 0. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6247974 is divided by 575?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/6)\/((-4)\/6). Suppose -3*j = 2*k - 3*k - 27, j - 4*k = -2. Calculate the highest common factor of j and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.355757 take away -31?\nAnswer: 32.355757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.146 + 0.374. Let r = -0.12 + f. What is the nearest to 3\/2 in r, -3, -9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 5 + 1 + 2)*(16 + 13 + 23)*(-45 + 10 - 22).\nAnswer: -5928*v + 5928","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 484617\/10 or 48461?\nAnswer: 484617\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((-1 - 31) + 102 + -122)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 b when two letters picked without replacement from pybcy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.95 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 141 (b) -5\/2 (c) -7\/3 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2056.27mm?\nAnswer: 2056270000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 1. Let j(t) = -45*t - 9. Determine 9*a(n) - j(n).\nAnswer: 36*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*5\/25*(-3)\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -1\/166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, f: 5}. What is prob of picking 1 f and 1 l?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((2 - 2)\/(-2))\/(3\/(-3)). Suppose -4*z + 4*l = j, 0 = 4*z - 0*l + 5*l - 45. Suppose b - 4*b + 96 = 3*h, -z*b = 2*h - 160. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 264.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 + 11*m + 21. Suppose -37*v - 85*v - 784 = 74*v. Give i(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/5 - 21\/35*13\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1040 + -766. Suppose -j + 297 = g. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -8 (c) 785\/1074\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22\/(-55) + 6\/(-10). Let i(g) = 2*g - 1. Let p(c) = -c. Let d(y) = -i(y) + 5*p(y). Give d(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -58. Is 24 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/(-12))\/((-10)\/(-60)). Let s(b) be the second derivative of -b**3 + 0 - 3*b**2 + 1\/20*b**f + 11*b + 1\/3*b**4. Give s(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**2 - 2604*i + 224439 = 0. Calculate i.\nAnswer: -947, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.127 - 6.973. Let y = f - 0.9. Let l = -7.99999975 - y. What is l rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1303*49\nAnswer: -6.3847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 8, -4, 267, -5 in decreasing order.\nAnswer: 267, 23, 8, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 1211?\nAnswer: -1206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-988)\/91)\/19*7*2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2670197?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - f - 157 = f, 0 = r + 3*f - 34. Let i = -33 + r. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n + p + 21, -3*n + 5*p = -63. Let s = n - 0. Suppose 0 = -12*f + 39 + s. Solve 0 = x + 3*t + 11, 5*t - 1 = f*x - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/((-7)\/((-140)\/15)). Let l = 86 + -90. Let r(i) = -i**3 - 5*i**2 - 5*i - 4. Let b be r(l). Which is greater: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i**3 + i**2 - 8*i + 3. List the prime factors of g(3).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -5\/43, -4 in ascending order.\nAnswer: -4, -1\/4, -5\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28.68446208 + 2281.68561108. Let b = d - 2253. Round b to five decimal places.\nAnswer: 0.00115","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -9*z**2\/2 + 10*z + 13. Let c be k(5). Let o = c - -56. List the prime factors of o.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**2. Let s be (-5)\/(-10)*(0 + 0). Let i(o) = s*o**2 + 0*o**2 + 6*o**2 - o**2. Determine k(i(u)).\nAnswer: -50*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**5\/15 + f**4\/24 - 7*f**3\/2 + 134*f**2 + 2*f - 11. Calculate u(-5).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 - -0.1999994. What is b rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 2*s**2 - 2. Suppose 4*o - w = 0, 0*o = 5*o + w + 9. Let j be -1*(o + 1 + 2). Give g(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*4)**2*5 + -5.\nAnswer: 8955","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19267314 and 11847.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/12*0)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-94)\/(-7) + 12\/(-28). Suppose 3*a - 20 = m. Let l = 208 - 87. What is the highest common factor of a and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r = -4 - 92 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -14*a + 4. Let n(h) = 7*h - 2. Calculate 5*n(r) + 3*y(r).\nAnswer: -7*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -4\/9 (b) -0.3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 1:22 PM?\nAnswer: 241","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.04 + 0.04. Let d = -2 + z. Let n be (2\/(-15))\/(8\/10). Sort n, 5, d in decreasing order.\nAnswer: 5, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 + 51. Let m be (18\/(-6))\/(o\/(-12)). Suppose 2*a - 35 = -0*a - 5*v, -a - m*v + 13 = 0. Calculate the remainder when 122 is divided by a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 92 or 94?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 100 + -62. Calculate the remainder when 109 is divided by b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28 - 31. Let r be -2*(6\/4)\/(w\/41). What is the first derivative of -8*c - 12*c - 27 + r*c - 4*c wrt c?\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 40664, 81326, 121992, 162662, 203336?\n\"Answer: 2*u**2 + 40656*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90532 is divided by 90513.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2500 a factor of 486935000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 1 - 3*i**2 + 2*i**2 + 4*i**2 - 2*i**2 - 10*i. Calculate the common denominator of -51\/2 and c(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-36)\/(-46)) + 51\/306?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r - 72 = -23*r. Suppose -v + 2*g + 3 = 0, 6*v - r*v + 2*g + 4 = 0. Let l(t) = t. Let k(f) = -4*f + 2. Calculate v*l(h) + k(h).\nAnswer: -3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-6)\/9)\/((-2)\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6668 (base 11) in base 10?\nAnswer: -8786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-539)\/66 - -9)\/(5\/7).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35149 is divided by 461.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 12*r**2 + 20*r - 3. Let p be (-24 - 552\/(-24)) + 1*-2. Determine v(p).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 3*m + 87, -2*y - 29 = -3*y - m. List the prime factors of y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -35\/34429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-30)\/(-8) + 0)*(-48)\/(-18). Is 61 a factor of 40\/i + (-1692)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q - 4. Let p be m(3). Let u be 2*((-3 - p) + 3). Suppose -4*r + 28 - 74 = -5*w, w - u*r = 14. Solve -6 = 3*t - 5*b, b = -w*t + 3*t - 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, f: 2, c: 3}. What is prob of sequence cww?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -17*u**3 - u**2 - 3*u - 3. Let a be d(-2). Let c = -132 + a. Solve -s - c = -2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*k - 129966 = 110418. List the prime factors of k.\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -160879*a*s**2 + 93*a*s + 219*s wrt s.\nAnswer: -321758*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -940 + 940 + 10*u - 50*u**4 wrt u?\nAnswer: -600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3882 - 16*v - 3882)*(-5 - 2 + 4 + (3 + 2 - 6)*(-1 - 4 + 4) - 18 - 1 - 6).\nAnswer: 432*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -10*u**3 - 5*u**2 - 6*u - 6. Let z(b) = -9*b**3 - 4*b**2 - 5*b - 5. What is 5*l(x) - 6*z(x)?\nAnswer: 4*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-11) + (-25)\/(2750\/508) - -3.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 + -18. Let q = v + -7. Does 11 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5042 is divided by 43.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*x + 40 = 74*x. Let p be (x - 4)*9\/(-9). Solve -4*f - 14 + 6 = p for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 25. Let g(f) = -1 - 3 - f**c + 4. Let i(p) = -15*p. Calculate i(g(s)).\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -32*u - 94. Let d(f) = -12*f - 35. Let i(o) = -11*d(o) + 4*w(o). Let p(x) = 3*x**2. Give p(i(z)).\nAnswer: 48*z**2 + 216*z + 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (0 - 63\/81)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*sqrt(90))\/(sqrt(100)\/sqrt(2)).\nAnswer: -18*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*j**2 - 28*j**2 - 3*j**3)*(12*j**2 - 4*j**2 - 10*j**2) + 0*j**2 - 2*j**5 + 0*j**2 + 2*j**2.\nAnswer: 4*j**5 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21256639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77524*j - 178*j**3 + 38759*j + 38765*j.\nAnswer: -178*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -48 (b) -0.3 (c) -2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 87499.2132ns in weeks?\nAnswer: 0.000000000144674625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/385 and 27\/50750.\nAnswer: 558250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 180910707?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 - 218648*s + 5975868488.\nAnswer: 2*(s - 54662)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 - -25. Which is the second biggest value? (a) 4 (b) -5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v**(-1)*v)\/v*v*v*v*(v*v\/v**(1\/8))\/v*v)\/(v*v\/v**6*v*v**1*v)*((v**(2\/5))**(-4\/27))**(-37) assuming v is positive.\nAnswer: v**(8713\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 9*l - 8. Let r be i(-10). Suppose -4 = -b + r*f, 3*b = -0*b + 2*f + 24. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 1190027?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -601\/48 + -29\/16. What is the common denominator of 79\/33 and j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/7 - 111\/259. Let k = -3 - -3. Suppose k*g - 16 = -4*g. Sort 1, g, l.\nAnswer: 1, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-45) + 619174\/(-15). Let m = h + 196663\/5. Let t = m - -1953. Find the common denominator of t and 137\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3787\/2320 + 8\/145. Let z be (-2 - -11)*3*(-2 + 0). What is the common denominator of 175\/12 + (-36)\/z and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, f: 2, j: 1, l: 1, g: 2, e: 1}. Give prob of picking 2 g, 1 e, and 1 b.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 - 2*p**2 + 3*p - p**2 + 5 + 3*p**2. Let v be m(-4). Suppose -2*a - 1 = -4*o + v, 3*a = -5*o + 27. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 1 - 9, q = 2*t - 2. Suppose 0 = -3*l + 3*v + q, -2*l + v = -3*l. Suppose -3*i + l - 10 = -4*w, 2*i = -2*w + 8. Solve k + i + 2 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)\/l*l*l*l\/(l**3\/l))\/(l**(1\/5)*l*l**(-1\/9)*l)*l**(-2)\/(l*l\/l**(-5)*l*l*l)*l**(-1\/3)\/l**(-2) assuming l is positive.\nAnswer: l**(-694\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 318\/(-24) + 1\/4. Suppose 2*r = -6, 5*l = 4*l - 3*r + 10. Let z = h + l. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -412.257 - -412. Let o = w - 20.743. Which is the third smallest value? (a) 0 (b) o (c) -0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 5*x - 6, 4*o - 428*x + 22 = -431*x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooz when four letters picked without replacement from {o: 3, z: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -29*t - 6. Let p(x) = 30*x + 7. What is -5*p(l) - 6*q(l)?\nAnswer: 24*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 13*l**3 - 7*l**2 + 7*l + 5. Let f(m) = 7*m**3 - 3*m**2 + 3*m + 3. Determine -3*a(o) + 7*f(o).\nAnswer: 10*o**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f. Let r(a) = 4*a**2 + 2*a. Let w(i) = 21*i**2 + 11*i. Let p(s) = 11*r(s) - 2*w(s). What is b(p(g))?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -139510 - 7?\nAnswer: -139517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 25, -19\/47, -0.2, -1\/4.\nAnswer: -19\/47, -1\/4, -0.2, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31126 is divided by 10017.\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -277*t**2 + 3*t*w - 9061*w wrt t?\nAnswer: -554*t + 3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four thirds of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3, 5, 7, 9?\n\"Answer: 2*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3199 - -3198.999996622. Round r to seven dps.\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484733 is divided by 111?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 94041531?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 < 155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -12*s**2 - 2*s + 1. What is p(2)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00151491 rounded to 4 decimal places?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 72 = -n, -n - 59 = -3*q + n. Suppose -q*y + 3*y = 70. Which is the third smallest value? (a) y (b) 5 (c) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2076721.72 take away -2.529?\nAnswer: -2076719.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1da973 + -2?\nAnswer: 1da971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10365b3 - -4?\nAnswer: 10365b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, h: 8}. Give prob of sequence mh.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-5 - 3) + 5 - -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110 and 10400?\nAnswer: 114400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 20 = 7*g. Let x be 30\/g*68\/(-5). Suppose x = d + 2*d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.1731 rounded to two decimal places?\nAnswer: 5.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -204 + 217. What is the remainder when j is divided by 2\/(-3)*(-12)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2904)*2*-4)\/((sqrt(240)\/sqrt(4))\/sqrt(5) - sqrt(192)*-5).\nAnswer: -88*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -52 + 45.1\nAnswer: -6.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*i + 3*i. Suppose 0 = -i*n - 4 - 4. Is -5\/2 smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 961 = -i + 977. Suppose i*n - 8626 - 17630 = 0. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11265.\nAnswer: 3, 5, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 889.265267914575 and 0.\nAnswer: 889.265267914575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -358 + 23*q + 358 + 3*q + q - 6*q + (2*q - 2 + 2)*(1 - 2 + 0) in the form d*q + u and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 4861848.\nAnswer: 53480328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-4))\/(d\/(d\/(d\/(d\/d**(8\/9))))*d))**(-2\/21)*((((d*d\/d**(6\/5))\/d*d*d)\/d)\/d**6)**(1\/22) assuming d is positive.\nAnswer: d**(2383\/10395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 343 (b) -28\/3 (c) -3 (d) 14 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 10050 to the nearest one hundred.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 1. Let s = -6.3 + 7. Let y = -1.7 + s. Which is the nearest to l? (a) 3 (b) y (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 949607 to the nearest integer?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 54*u - 753. What is d(14)?\nAnswer: -193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {e: 2, g: 8}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -6. Let k(o) = -1. Let m(i) = 5*k(i) - x(i). Let r(a) = -25 - 21 - 15 + 66 + a. Calculate 10*m(v) - 2*r(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -4*t - t + 12, a + 2 = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -359, -3, -1, 1, 2, -6 in increasing order.\nAnswer: -359, -6, -3, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 + 182*s.\nAnswer: s*(s + 182)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of n**3\/6 - 29*n**2\/2 + n + 1356. Give m(15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvnddeddddndd. What is prob of sequence vedd?\nAnswer: 14\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 10:32 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -244233400?\nAnswer: -244233402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f**3\/4 + 677223*f**2\/4 - 38216201625*f\/4 - 344000671875\/4 = 0 for f.\nAnswer: -9, 112875","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2882*u - 579*u - 576*u - 580*u - 572*u - 578*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -22.9. Let y = 5 - h. Sort 0, 0.2, y, 1\/4 in decreasing order.\nAnswer: 1\/4, 0.2, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 456247303?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b**3 + 29*b**2 + 12*b + 41. Let i be x(-7). Sort 3, 18, 1, i in increasing order.\nAnswer: 1, 3, i, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 42 = -v - 110, 4*l - 142 = v. Is -165 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 9:49 PM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (3 + 2) - (24 - 41) - -62.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 11. Put p, 4, 6 in ascending order.\nAnswer: 4, p, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dfjjbjjg. Give prob of sequence gb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-4))\/(3\/8). Let d(n) = 12*n. What is the lowest common multiple of 6 and d(j)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2521728853 to the nearest integer?\nAnswer: 50217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**4*m + 15281*i**4 + 723*i**2*m - 8*i**2 - 13*i*m wrt i.\nAnswer: -24*i*m + 366744*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*c**3 + 131*c - 318?\nAnswer: 9*c**2 + 131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 5722661775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 1498*b**2 + 67*b - 202. List the prime factors of f(3).\nAnswer: 13, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - d + 3*d)*(4*d - 5*d + 3*d)*(2*d + d - 5*d)*(0*d**2 + 0*d**2 - 5*d**2).\nAnswer: 20*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 3:01 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(-28) - 14\/(-8). Suppose -3*p - 346 = -0*p - 2*l, l = t. Let c be 2\/(-9) - p\/27. Solve -2*m - 8 = c*d, d - 3 + 4 = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.106 - 0.876. Let o = -6.97 - g. Let x = o - -6.19999861. What is x rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -693 + 784. What is the highest common divisor of 468 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/8 + 8865395*k\/8 + 12189903.\nAnswer: (k + 11)*(k + 8865384)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-18)\/(-24)*-8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -149*n**3\/2 - 17*n**2\/2 - 66*n. Is w(-1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in months?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**4 + 2*i**3 - 5*i + 2 + 10*i**2 + 0 - 9*i**2 + 6*i to d + j*i + m*i**2 + w*i**3 + u*i**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/9, -0.2, -4, 5, 0.09, -0.34?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -106, -260, -476?\nAnswer: -754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3394\/5 - 6709\/10. Let k = 926 - 136. Calculate the common denominator of o and k\/(-72) + (-4)\/(-18).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.431 + -0.099. Let w = z - 3.47. What is the second biggest value in -1\/5, w, 2\/5, -3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-9) + 2*(-320)\/(-36). What is the greatest common factor of i and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -3, -67 in decreasing order.\nAnswer: 63, -3, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 688*z**3 - 20*z**2 + 20*z**2.\nAnswer: 688*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30 and -0.99?\nAnswer: -29.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 81060 not equal to 162119\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 711164122.\nAnswer: 2, 355582061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -201 - 836?\nAnswer: -a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*t = -9, 4 = 3*p - 7*p - 2*t. Is (379\/3)\/(p\/(-9)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z, 10*z + 4 = 2*b + 15*z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3067, -3069, -3071, -3073, -3075, -3077?\nAnswer: -3079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p - 2*g - 110 = -21*p, 4*p - 116 = 4*g for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 559 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 305 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-66)\/(-8))\/((-19)\/76). Let t = u - -35. Suppose -4*r - t*n - n = -12, 2*r + 20 = 5*n. Solve r = -2*m - m - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2\/9 + 91160*t\/9 - 1038768200\/9 = 0. Calculate t.\nAnswer: 22790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-224)*4)\/(-3*(-1)\/(-6))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/98 - (-6)\/14.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.8 - 10. Let l = -2.8 - w. Let n = l - 3.6. What is n rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c510 + 4?\nAnswer: 1c514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4810, 4811, 4812, 4813, 4814, 4815?\nAnswer: 4816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqxy when four letters picked without replacement from xyyqq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-16)\/u)\/u**(1\/6))**28)**30 assuming u is positive.\nAnswer: u**(-14420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1 + 137)*5*(-21)\/(-35).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 3:04 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2 + 4 - 3 - 4*r + 3. What is p(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*(2 + sqrt(13))*-4 + -5 + -4*(0 + (2 + sqrt(832))*4))**2.\nAnswer: 21024*sqrt(13) + 274897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.02, -0.09, 3\/2, -11, -2\/3, -343?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f**2 - 14*f + 8. Give i(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**7\/280 + 13*o**4\/24 + 11*o**3\/3 + 29*o**2. Let f(g) be the first derivative of y(g). Differentiate f(x) wrt x.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 4) to base 13\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 2) + (-63 - -49) + 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2.4, 46, -33, 1, 0.2 in descending order.\nAnswer: 46, 2.4, 1, 0.4, 0.2, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(121) - (sqrt(121) + -1*sqrt(121) - sqrt(121)))*1 - sqrt(121))*-5)\/(3*(-2*sqrt(99) + sqrt(99))\/sqrt(9)))**2.\nAnswer: 275\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21692?\nAnswer: 2, 11, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*195\/900*-8?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k + 16. Let w be h(0). Let y = 19 - w. Find the second derivative of -3*m**y + m + 3*m**3 + 0*m**3 + 4*m**3 wrt m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 3*c**2 + c**2)*(-7*c**2 + 9*c - 9*c) - 9 - 3*c**4 + 9.\nAnswer: -17*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 25*p + 1. Let a(h) = -119*h + 10. What is -2*a(m) + 18*f(m)?\nAnswer: 688*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 852*m + 169570. Calculate f(-317).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1220 - 1220 + 3*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -12*n**2 + 6*n - 6. Let g(u) = u**2 - u + 1. Let y be (-1)\/(((-2)\/(-14))\/((-42)\/49)). Let l(z) = y*g(z) + s(z). Let v(c) = 3*c**2. Give v(l(d)).\nAnswer: 108*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 22521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -323 and 26?\nAnswer: -8398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -30*m + 629. Calculate f(19).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -12*v - 8. Let u(y) = -8*y - 5. Let d(o) = 5*l(o) - 8*u(o). Let r(w) be the third derivative of -w**5\/60 - w**2. Calculate d(r(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 35645341 and 35645319 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3907468 to the power of 1\/2, to the nearest integer?\nAnswer: 1977","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270 = -17*a - 28*a. What is the highest common divisor of a and 318?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8061099?\nAnswer: 3, 2687033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - 3379?\nAnswer: -3384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 1\/2 (c) 2 (d) -0.06 (e) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*r - 29*r + 45 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -80*j**5 + 440*j**4 - 845*j**3 + 665*j**2 - 200*j + 20 = 0?\nAnswer: 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6353 (base 13) to base 15.\nAnswer: 4122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -21. Let l(d) = 69*d**2 - 20*d + 21. Calculate l(p) + m(p).\nAnswer: 69*p**2 - 20*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 278*g - 62*g + 118*g as i + u*g and give u.\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 4, -2\/9, -23\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2258207690 a multiple of 7738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 - 29 - 57 = 5*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038 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: 5030 (base 7) to base 11\nAnswer: 1339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1455703 and 0.0466?\nAnswer: 67835.7598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 + 5. Let h = p - 18. Let g(v) = v**2 + 3*v - 2. Let a be g(-4). Calculate the greatest common divisor of a and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 36104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 798 divide 42179789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) -1 (c) -2 (d) -5\/97 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 18*q + 5. Let h(z) = -7 + 25*z - 57*z + 13*z. Let b(p) = 2*h(p) + 3*x(p). What is b(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 57*u**4 - 24*u**2 + 5527 wrt u?\nAnswer: 228*u**3 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*p + 21, 7 + 5 = 4*p. Let a(u) = 2*u + 1. Let l be a(1). Let v = l + -6. Sort 0, m, v in increasing order.\nAnswer: v, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -0.1, 905?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from {c: 2, g: 8, p: 2, e: 1, x: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + b + 288 = 2*j, -5*b - 123 = -j. Let t = 265 - j. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*q - 1488 + 5268. Let c be ((-2)\/5)\/((-3)\/q). Calculate the common denominator of -23\/21 and ((-77)\/c)\/(17\/51).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from ekkekkkekkk?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 930801\/10 + -93160. Suppose -4*i + 33 - 353 = 0. Let s = i - j. Which is the second biggest value? (a) 4\/9 (b) 2\/17 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/59, -2, 5?\nAnswer: 5\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - 0) + (8 - -10) + -13\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d**3 - 7*d**2 - 3*d + 1. Let y(q) = q**3 - 2*q. Give -2*y(c) + z(c).\nAnswer: 3*c**3 - 7*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3555022621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 17*v + 9. Let h(l) = -46*l - 70. Let j(n) = 185*n + 292. Let b(p) = -17*h(p) - 4*j(p). Give -5*b(d) + 12*z(d).\nAnswer: -6*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46498.47 nanograms to kilograms.\nAnswer: 0.00000004649847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u - l + 19 = 0, 5*l = -4*u - 3. Suppose 0 = n + 26 + 13. Calculate the common denominator of n and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(48)\/(sqrt(60)\/sqrt(5))).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*x - 2. Let q be -1 + (x - 12) + 2. Let z = q - -16. Sort -4, z, -2 in decreasing order.\nAnswer: z, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 5*p - 386. Let v = p - 481\/7. Which is the smallest value? (a) -0.2 (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -52, -0.3, 1\/15?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 725.00619 - 725. Round f to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 686 is divided by 37.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 640382504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*z - 167 + 7. What is the units digit of (((-952)\/z)\/(-17))\/(2\/(-28))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 10*o - 50. Let c(n) = n**3 - 22*n**2 - 72*n - 61. Let b be c(25). Give a(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.4939 to the nearest integer.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -213, 4303, 16 in increasing order.\nAnswer: -213, 16, 4303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -197647 take away 2?\nAnswer: -197649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 476777 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w. Let r be p(5). Suppose 4*s - 45 = -r*u, -4 = -s - 3*u + 2. List the prime factors of (1 - s\/9)*-12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-1)*-1*(-504)\/(-108)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 800000*h. Let f be t(6). Suppose -3*i = -i + f. What is i rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -84, -5\/3, 2, -64, -1\/7, -1, 4?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18*f**5 + f**3 + 8*f**2 - 4*f?\nAnswer: -1080*f**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 8:42 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 16 = -i - 37, 0 = 5*w + 5*i + 5. What is the third smallest value in 1\/6, -3, 2\/3, w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275 > 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o + 1. Let c(f) = -2*f**2 - 4*f - 5. Let p be (-28)\/(-49) + 62\/14. Let l be 1\/(-4) - 2\/(-8). Suppose -3 + l = -3*n. Determine n*c(w) + p*t(w).\nAnswer: -2*w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1000 and 760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + (-34)\/19)\/((-62)\/(-93))?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 0.4 (c) 0.03 (d) -466\/5 (e) 2 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -33*o + 25*o + 407. Solve o - 78 = 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-180)*-14*(-21)\/(-147).\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212297 is divided by 448?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 4 + -3 + (-1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*v = 19138 - 199087. List the prime factors of v.\nAnswer: 11, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 8. Suppose n*y - 3*y = 6. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*h + 2*b + 51 = 0, -2*h = 3*b - 130. Let q = -57 + h. Factor 30*n**2 - 6*n**3 + 31*n**2 - 59*n**2 - 4 + q*n**4 + 6*n.\nAnswer: 2*(n - 2)*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114680 = 486*r + 236*r + 498*r for r.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 + 25 - 23) + -14?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -32.3 * 57.63\nAnswer: -1861.449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64012607 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00641 to 4 dps.\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(22)\/(sqrt(11) + sqrt(11) + sqrt(44)\/sqrt(4)*6) + (sqrt(300)*-2)\/(sqrt(6) + (sqrt(6) + sqrt(54))*3).\nAnswer: -33*sqrt(2)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.5648 + -5.6. Let t = 0.04 + n. Round t to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*5*(2*sqrt(252) + -5).\nAnswer: -120*sqrt(7) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-39)\/234*567\/(-15)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 192, 1385, 4988, 12207, 24248, 42317?\nAnswer: 67620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 5 + 34)*(2 - 4 + 3 + (1 + 1 - 5)*(-3 + 0 + 2) - 1 + 0 - 1)*(5*l - 3*l + 0*l).\nAnswer: 116*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 755632931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of 0 - 6*l**2 + 16*l - 4\/3*l**3 + 1\/3*l**4. Calculate the remainder when o(5) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1336\/(-10) - (-2)\/(-5). Let q = 39203\/4 + -9666. Let t = q + a. Is 0 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -3. Suppose -2*o + 2 = -h. Let u(l) = 50*l**3 - l. Is 22 a factor of u(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2. Suppose -32 = -2*z - 2*z. Let o(x) = -8*x + 4*x + z*x. Determine o(n(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -15 - (111 - 106 - -122)\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.21 - 0.51. What is the smallest value in 2, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (13 + (-2 - 9) - -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 8*b + 20. Suppose 388 = b*n - 2*z, -4*z + 72 = n - 3*z. Let r(v) = -76*v + 3*v**2 + n*v. Let q(o) = 3*o**2. Calculate r(q(m)).\nAnswer: 27*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2350*p = -2339*p - 14641. Is p a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = -4*n. Let t be ((-1)\/n)\/((-2)\/(-18)). Suppose -6 - t = -2*w + 5*j, 2*w - 12 = 2*j. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2365238, 2365237, 2365236, 2365235?\nAnswer: 2365234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*t - 1. Let a = 1 + t. Let p be 4 - 4\/(-2 + 4). Put p, 0, a in ascending order.\nAnswer: 0, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-752 + 753)*(-5)\/(-1 + 0). What is the second smallest value in -1, r, 2, -0.56, 4?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/9)\/(10\/(-90)*1). Sort -7, n, -8, 0 in decreasing order.\nAnswer: n, 0, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9709956 rounded to four dps?\nAnswer: -0.971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 - 0.2. Let z = -218 + 273. Suppose w - 56 = -z. Sort 3, s, -0.2, w.\nAnswer: s, -0.2, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 26.088348 nanoseconds?\nAnswer: 0.0000000004348058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2111 - 12210101210?\nAnswer: -12210022022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 3. Let c be m(-6). Let u be (-1 + c + -1)*4. Solve -12 = u*l + 4*b - 0*b, 6 = -2*l + 4*b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-19 + -17 - -19 - (7 + 1))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 - -94. Suppose -4*o + 32 = -2*o - 4*p, 12 = 4*p. What is the remainder when r is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 568 - 5162 = -223*y - 357 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31910473 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 709*i - 2 + 5 - 692*i - 5.\nAnswer: 17*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -385, 5, 3, 22, -143.\nAnswer: -385, -143, 3, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3045*v**3 + 289*v**2 + 52*v**2 + 3974*v**2 - 1984*v**3 wrt v?\nAnswer: -30174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 134343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 81269*c**3 + 3*c**2 + 2*c + 2. Let z be q(2). Round z to the nearest ten thousand.\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 - 23*a - 188. Calculate the remainder when 216 is divided by d(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 4, 0.7, -0.08, -27?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -356884.9 rounded to the nearest one hundred?\nAnswer: -356900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80500 = 6796*v - 5186*v for v.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1220112 + -12?\nAnswer: -1220130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 1.54.\nAnswer: -1.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, -0.01, 4\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + 4*s)*(3 + 0 - 4)*(-s + 2 - 2).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -86, -68, -50, -32?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4335 and 11645.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzllllzllllz. What is prob of picking 1 l and 1 z?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*w = -3*d + 11, -5*d - w = -14. Let u be (d - 2)\/((-1)\/(-15)). Suppose 0 = -4*o + 5*q + u, -4*q = 8 + 4. Solve o = -4*k + 5*k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 71333\/6 (b) 3 (c) -0.159\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -566*c**5 + 23203*c**4\/3 - 74105*c**3\/3 - 14571*c**2 + 55391*c\/3 + 98\/3 = 0.\nAnswer: -1, -1\/566, 2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c. Let g(n) = -43*n + 22*n + 18*n. Determine g(h(u)).\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17185 and 805.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6714536 (base 8) in base 9?\nAnswer: -3356104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -203*h**3*r - h**3 - 33*h**2*r + 171065*h**2 - 2*h*r - 2*r wrt r.\nAnswer: -203*h**3 - 33*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 3*d - 9, 4*l = -3*d - 55568 + 55577 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -1. Suppose -4*z = 2*y - 34, -3*y + 4*z + o + 12 = 0. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3792.543 + -230444?\nAnswer: -226651.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 9*o, -87*a + 30 = -92*a + 2*o + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178980487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104) + (1*sqrt(104) + sqrt(104) + sqrt(104) - sqrt(104)))*-2)\/sqrt(8))**2 + sqrt(52)*5 + 4.\nAnswer: 10*sqrt(13) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**5\/(d\/(d\/((d*d\/(d\/d**(-5)))\/d)))*d**(-2)\/(((d*d**1)\/d)\/d))\/(((d**6\/d*d)\/d*d*d)\/(d\/(d**(-4)*d)))**(-36) assuming d is positive.\nAnswer: d**116","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 12\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2963776948 + -27.\nAnswer: -2963776975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 87, 98, 109, 120, 131?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of -g**6\/60 + 5*g**4\/24 + g**3\/2 + 4*g**2. Let l(n) = -2*n**3 + 6*n + 4. What is -6*i(j) + 5*l(j)?\nAnswer: 2*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 - 2*g + 1. Let m be y(1). Let r(t) = 4*t**2 + 1 - t**3 - 4*t**2 - 12*t**3. Calculate r(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.267 to zero dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-3))\/((-1)\/5). Suppose 3*y - j*y = -4*t + 38, 4*t = y + 39. Calculate the remainder when 37 is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92.009 + -92. Let w = h + 44.991. Let o = -49 + w. Sort o, 0.3, -0.5 in decreasing order.\nAnswer: 0.3, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w - 15 = 0, 5*d - 35 = w. Factor -4*c + c**4 - 7*c**3 + d - 12*c**2 - 19*c**3 + 30*c**3 + 3*c**4.\nAnswer: 4*(c - 1)**2*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -497 - -300. Let y = x + 335. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -19.97651?\nAnswer: -1.997651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 9:49 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246342 - 246342 + 40463*m**2 - 40465*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-7) + 0)\/((-9)\/378). Suppose -4*l - g = -116. Suppose -b + 3*w + l = -0*w, b + 3*w - 32 = 0. What is the highest common factor of b and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-151)\/(-4) + 2\/8. What is the common denominator of 113\/(-14) + (-7 - -10) and (6\/(-8))\/(8\/a)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.1, -1.7, 3, 4069?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -10, -0.15, 30\/7, 2\/41?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46663 + -21864. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -35*a - 43*a + 123*a + 1 - 51*a. Let o(m) = 4*m. Give -4*h(f) - 7*o(f).\nAnswer: -4*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 21. Suppose 2*j - 1 = w. Suppose 0*x = -8*x + 56. What is the remainder when x is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (75174\/204)\/(-67)*10*-1\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15268?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -85*s**4 - 165*s**3 + 10*s**2 = 0.\nAnswer: -2, 0, 1\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + (131 - 120).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**4\/24 - 11*g**3\/3 - 2*g**2. Let o(q) be the second derivative of q**3\/3 - 38*q. What is o(a(n))?\nAnswer: -2*n - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*u + 152*u - 40*u + 62*u + 2 as s + k*u and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*v**2 - 1 - 24 + 7 - 3*v + 6 in the form d*v**2 + b*v + j and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -26*i**3*j**3*x + 188*i**3*j**3 - i**2*j**3*x - 2*i**2*j - 2*i**2*x + i*j**3*x + 4*i*j*x wrt i?\nAnswer: -156*j**3*x + 1128*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/2 + 1615883*f - 2611077869689\/2.\nAnswer: -(f - 1615883)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6964 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 189901019 and 245.\nAnswer: 949505095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 12 = -d + 3*d, -2*d + 8 = -4*a. Let w(f) = -4*f - 5. Let v(r) be the first derivative of -3*r**2\/2 - 4*r + 2. What is d*w(z) + 5*v(z)?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 206 + -203. Let k = 25 + -18. Sort c, k, -5 in ascending order.\nAnswer: -5, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*m = 115*m - 15. Let t(j) = 19*j**3 - 4*j**2 - 7*j + 17. List the prime factors of t(m).\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -57\/2 (c) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(2600) + sqrt(2600) - sqrt(2600)) + sqrt(2600) + sqrt(2600) + sqrt(2600) - sqrt(2600) - sqrt(104)*2)\/(-3*(sqrt(128)*2)\/sqrt(4)) + -2.\nAnswer: -23*sqrt(13)\/12 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a + 26. Let m be (-42)\/10 + 2\/10. Let n be s(m). Let g be 1 + (-28)\/n - -3. Which is bigger: 0.03 or g?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**3 + 0*j**3 + 12*j**3 - 2*j**3 - 6*j**3 - 66*j in the form n*j**2 + a*j + b + t*j**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -128834, -128837, -128842, -128849, -128858, -128869, -128882?\n\"Answer: -a**2 - 128833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4496534 a multiple of 833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1493, 3718, 5943, 8168, 10393, 12618?\n\"Answer: 2225*u - 732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - (10 + 5 + 4) - -26.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*z - 21*z - 19*z - 16*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 15990 = -16098 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-21)\/(-504)*525\/(-50))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 12 + 116*y**2 + 117*y**2 + 26*y**2.\nAnswer: 259*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, s: 1, b: 1, l: 2}. Give prob of picking 1 b and 1 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*v + 10*v - 20*v)*((3*v - 4*v + 2*v)*(3*v**2 + v**2 - 2*v**2) - v + 4*v**3 + v).\nAnswer: 102*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1986, 13958, 33910, 61842, 97754, 141646, 193518?\n\"Answer: 3990*d**2 + 2*d - 2006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + -2)\/((-2)\/4). Let j = 0 - y. Suppose 0 = -0*t + 3*t - 2*s - 104, 8 = j*s. Is 12 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*n + h - 0*h, 0 = 5*h + 5. Suppose n*r = -3*r + 120. Calculate the remainder when r is divided by ((-3 - -2) + 2)*14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*u**2 + 165*u**2 + 196*u**2 - 688*u**2 + 192*u**2.\nAnswer: 33*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008623 rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*h**3 - 90*h + 29*h**2 + 56*h + 48*h**3 to w*h + q*h**2 + b*h**3 + u and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3440 + 3440. Let y(o) be the second derivative of d - 9\/100*o**5 + 0*o**2 + 2*o + 0*o**3 + 0*o**4 - 1\/50*o**6. Determine i so that y(i) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a century?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -16*c - 1. Let i(s) = -31*s - 2. Let z(f) = -3*i(f) + 5*v(f). What is z(-1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 1 = 3*y - 0, y - 1 = m. Let z(u) be the first derivative of 0*u - 1\/9*u**3 + 1\/12*u**4 + 0*u**m - 1. Factor z(w).\nAnswer: w**2*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 20\/(-24) + (-3)\/6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -5*d**8\/336 + d**7\/14 - d**6\/8 + d**5\/12 + 41*d**2. Factor q(w).\nAnswer: -5*w**2*(w - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126861 - 0?\nAnswer: 126861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13843 is divided by 4605?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1776171 is divided by 53823?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47005 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.204 + -0.096. Let d = -6.4 - v. Let t = d + -2.90000145. What is t rounded to seven decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65101, -130202, -195303, -260404, -325505?\nAnswer: -390606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 190273846 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(3 - 0) - -28. Let j = 205 - 155. Calculate the highest common divisor of b and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dodnknddnnhdnkndndsn. What is prob of picking 1 d and 1 k?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 2*l = 16*m - 14, m - 2*l - 2 = 0. Let a(c) = c. Let z(r) = -r**2 - 6*r + 3. Let o(j) = m*a(j) + z(j). Determine o(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 298889 by -15731.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 567292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + 720\/(-66) + -1*6\/66. Let n(l) = -22*l**3 + 3*l**2 - 5*l - 5. Let r(a) = 21*a**3 - 4*a**2 + 6*a + 6. Give o*n(z) - 5*r(z).\nAnswer: 27*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-390)*5)\/(-3*2\/153).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 6 + 3, -5*d = -5*g. Let h = d + -4. Suppose -12 = 4*m + 4. Sort h, 4, m in descending order.\nAnswer: 4, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 306728782664 and -2.\nAnswer: 306728782662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*k - 66*k - 1066 = -175*k + 63*k for k.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 8:49 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/220 and 53\/40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express y**4 - 14*y**2 + 315 - 160 - 153 as s*y + o*y**4 + g + v*y**3 + q*y**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 6 + 4 + (-1 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 366678729 to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 - 28196*i + 1183840\/3.\nAnswer: 2*(i - 42280)*(i - 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k - 5. Let h be q(9). Suppose 2*m - 4 = 0, h*m = 3*o + 7*m - 315. Calculate the remainder when o is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -242, 1\/7, 1, -2\/21.\nAnswer: -242, -2\/21, 1\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 77 = -d, 31*n - 463*d = -462*d + 553 for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2880 and 7601040.\nAnswer: 30404160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 0*v = -4*v + 12, 0 = 5*i + 4*v - 12 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 712 = 2*p, -p + 5*k = k + 362. Let d = p - -867. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117797 divided by 31?\nAnswer: -117797\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 2. Let h(t) = -368*t**4 - 8*t**2 - 50*t + 14. Let y(r) = -h(r) - 8*q(r). What is the second derivative of y(l) wrt l?\nAnswer: 4416*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 318 and 742.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -1006?\nAnswer: -2\/503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 2, 17 in ascending order.\nAnswer: 2, 17, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 483\/13524*16\/(-6)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.8 times -0.15?\nAnswer: 1.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000951937 to five dps.\nAnswer: 0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/(-6) - -1*371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416904?\nAnswer: 2, 3, 29, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-5)*x\/(x*x**(-1\/2)\/x))\/(x**0\/(x*x**(-4\/7))))**(-39) assuming x is positive.\nAnswer: x**(-4329\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 207 + -210. What is the nearest to -11\/2 in 3, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 165 + 8311*h - 16637*h + 8316*h + (-4 + 3 + 2)*(0*h + 5*h - 4*h) as m*h + n and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -22, -25, -30, -37, -46?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2612316 and 870772?\nAnswer: 2612316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34413*b**6 + 40*b**4 + 1926916*b**2 + 4?\nAnswer: -4129560*b**3 + 960*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/8, -2\/3, 28.7?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -155*h + 11322. Determine v(73).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1599 a factor of 100477246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -z**6\/120 - z**5\/30 - 7*z**4\/24 + 13*z**2. What is the tens digit of h(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2014 and 530?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(12))\/sqrt(6) - -1*sqrt(8) - ((sqrt(2) - (sqrt(2) - ((sqrt(72) + 1 - sqrt(72)) + sqrt(72)))) + -1))**2*5.\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8961913, 8961947, 8961981, 8962015, 8962049?\nAnswer: 8962083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*o - 3772 = -77*o - 24*o. Solve 0 = -29*y + o*y + 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 - 99. Let g be -1 + 4 - s\/(-8). Sort -1, 2, g, -33 in descending order.\nAnswer: 2, -1, g, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -11, -28, -57?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-4) - (-45)\/12. Let c be (3*4)\/(-3 + (-54)\/(-12)). Let o = -49 - -48. Sort o, j, c in decreasing order.\nAnswer: c, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6432 and 118188?\nAnswer: 945504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3*(-4*(sqrt(288) + sqrt(288)*2))\/sqrt(6) - (sqrt(576)\/(-3*sqrt(12)) + 1 + (sqrt(288)\/sqrt(6) - sqrt(48)))))**2.\nAnswer: -856*sqrt(3)\/3 + 183187\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 6*d**2 + d - 35. Let k be u(-7). Suppose k*j = 12*j. Factor j - 2\/3*i - 1\/3*i**4 + 1\/3*i**2 + 2\/3*i**3.\nAnswer: -i*(i - 2)*(i - 1)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 109*s - 109*s - 13*s**2.\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xf when two letters picked without replacement from oxooooxxfoxoxfxoo?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 15*h = 20. Suppose -h*z = 4*z - 246. What is the highest common divisor of z and 328?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34037 is divided by 1547.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(5) + -1)*1 - sqrt(45)\/(2*sqrt(9)))*-5.\nAnswer: -15*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7560 divide 382732560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 6 = 305*p - 301*p, 5*z - 3*p = -13 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3863*p - 177. What is the tens digit of i(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*v + 5 + 44 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19816256 is divided by 139.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) 48\/105599 (c) -11 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1539) + 1*sqrt(1539) - sqrt(19))**2 - (6*(sqrt(475) + -1) + sqrt(475)) - ((sqrt(76) - 1*sqrt(76)*6) + sqrt(76))\/(sqrt(64)*-3 + sqrt(64)).\nAnswer: -71*sqrt(19)\/2 + 5494","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-15)*3\/(-2)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3194947 divided by -49\nAnswer: -65203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*c - 16\/7*c**2 + 1\/7*c**3 - 14.\nAnswer: (c - 7)**2*(c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**2*a**(-1\/3) assuming a is positive.\nAnswer: a**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5216887 is divided by 204.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -7. Let u(r) = r + r + 2*r**2 - 2*r + 1 + r. Calculate the remainder when u(-1) is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*c - 116 = 0. Suppose -m = 2*j + 13 - 8, 0 = -2*m + j + 5. What is the greatest common divisor of m and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-48190)\/55 + (-14)\/(-77). Let r = g + 1237. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s - 9*s = 6*s - 60. Suppose -2*t = -0*t - 82. Solve -42*l - s = -t*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 282373.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**2 + 27470*b - 3339735.\nAnswer: 5*(b - 119)*(b + 5613)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*r - 4 = 0, -2*b + 4*r = -4*b + 16. Let z(k) be the second derivative of -3\/4*k**5 - k**b - 2*k - 13\/6*k**4 - 13\/6*k**3 + 0. Factor z(w).\nAnswer: -(w + 1)*(3*w + 1)*(5*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1496\/465? (a) 0 (b) -0.03 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -8632?\nAnswer: -8633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-384))\/((-112)\/252)?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 2*m - 16 = 0, 21*m - 10 = 19*m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*x - 68*x = -24. Find h, given that 3\/4*h**3 + 5\/4*h**2 + 0 - 1\/4*h**5 - 1\/4*h**x + 1\/2*h = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*l + 5*x = 10430, -x - 3482 = l. Let z be 19 - 26 - (l - -3). Round z to the nearest 100.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 10}. Give prob of picking 3 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -121*y - 3152. Let i be o(-26). Let b(w) = -w**2 - 14*w - 47. What is b(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 338.48 + -338.479839641. Round w to six decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12497*g**2 - 24941*g**2 + 12446*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58208340?\nAnswer: 2, 3, 5, 17, 149, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -682 + 694. Solve b = -0*p + 4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 - 39. List the prime factors of (65 + b)\/((-1)\/(-1) + 0).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.92274237 rounded to 3 dps?\nAnswer: -22.923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**3\/3 + 9*i**2\/2 + 17*i - 2. Let z = -2095 - -2085. Is d(z) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*p**2 + 30067*p + 64122048 wrt p?\nAnswer: -42*p + 30067","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*v - 43*v - 56 - 52 = 0 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) 313 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**2. Let h(t) be the second derivative of 13*t**4\/4 + 292*t. What is 63*b(y) + 6*h(y)?\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 205 = 7*h - 4*q, 165 = 4*h - 3*q. Suppose -174 - h = -3*b. Suppose b*f - 11 = 72*f. What is the remainder when 109 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -5)\/(-3 + 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*c**4 - 27*c**4 + 8*c**4 + (2*c + 4*c - 4*c)*(-4*c**3 + 2*c**3 + 3*c**3) + 1 - 1 + c**4.\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 308 and 748?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6134 divide 6343598780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27551867*d*p**2 - 12022006*p**2 - 1 wrt d.\nAnswer: -27551867*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 203 + -191. Suppose -3586 = -g*h + 9062. Is 80 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*j - 15*j = 342. Let k = -2 + -1. Let w = k + j. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 75 - 158 + 275*h**3 + 84 - 107*h**3 to k*h**3 + q*h + s*h**2 + i and give k.\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - ((-10 - -18) + 9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*b = -52*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 892238734 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.94 - -3.44. What is the fourth smallest value in -19, -2, -3\/4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2\/5, -5, -1\/11, -0.3 in increasing order.\nAnswer: -5, -2\/5, -0.3, -1\/11, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/2 + 555*n**2\/2 - 326862*n + 2596880.\nAnswer: (n - 572)*(n - 8)*(n + 1135)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(((d\/(d**(-1\/6)*d))\/d)\/d))\/d*d**(-19))\/(d*d*(d*d\/(d*d**(3\/28)))\/d*d*d**(17\/2)*d) assuming d is positive.\nAnswer: d**(-2399\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24 + 17*p - 44 + 22)*(0 - 12 + 5) to r + g*p and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 4*t + 37, -4*t - 17 = 2*y - 55. Calculate the remainder when (-125 - -111)*386\/(-28) is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17853839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -33.88.\nAnswer: 169.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + 16 + (-25 - -76).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 3:30 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-8)*r\/(r*r\/(r**(-8)*r)*r*r)*r**(-2\/13)*r*(r\/(r*r*r\/r**(8\/3)))\/r*r*(r**(-2))**13\/(r*r**3*r*((r\/r**(-9))\/r)\/r*r) assuming r is positive.\nAnswer: r**(-2203\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 11:14 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 18*v. Let d(a) = 34*a**2. Give d(c(j)).\nAnswer: 11016*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.17 - -0.1745. What is j rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1783777384 to the nearest integer?\nAnswer: 42235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 72\/256795 and 15\/120428.\nAnswer: 17462060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 153330487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19517612 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 793831, 793802, 793733, 793606, 793403?\nAnswer: 793106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 3*t - 1. Let z = -36 - -38. Suppose 0 = -z*h - 2*r + 1 + 5, 25 = 5*r. Give u(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 5:15 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -143 in decreasing order.\nAnswer: 2, 1, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 3*t**2 + 2*t + 2. Let p be u(-3). Let h = -2 - -3. Let v = 0.7 - h. Which is the closest to 1\/2? (a) -0.2 (b) p (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a millimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a + 1. Let l(t) = 2*t + 12. Let x be l(-7). Determine c(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 26*i - 6. Let p(h) = 5*h - 1. Let b be 13 - (-4)\/(12\/9). Suppose -4*a = -2*t + 6, 5*a + 17 + 13 = -5*t. Let d(f) = a*r(f) + b*p(f). Calculate d(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(4 + 6*(sqrt(68) - sqrt(68)*1) - (((1*sqrt(68) - sqrt(68))*4 - sqrt(68)) + (sqrt(68) - 1*sqrt(68)) + -5)) + 2)*-3)**2.\nAnswer: 3132*sqrt(17) + 13077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -0.3, -29, -5 in increasing order.\nAnswer: -29, -5, -0.3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -144560, -144562, -144564, -144566, -144568?\n\"Answer: -2*t - 144558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 - 7*r**2 + r**2)*(1 + 1 + 0).\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 139835 plus 4?\nAnswer: 139839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xssd when four letters picked without replacement from {y: 1, x: 3, d: 1, l: 4, s: 3, p: 3}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - b + 1)*(3*b - 3 + 3) + (5867 - 5867 - 75*b)*(b + 0*b + 10*b) in the form m + y*b**2 + i*b and give y.\nAnswer: -828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3*-1)\/(-1 - 98\/(-91)). Let i = -34 - c. Differentiate 4 + i*g**2 - 20 + 19*g**2 + 8*g**2 with respect to g.\nAnswer: 64*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**2 - 84*a = 0 for a.\nAnswer: -42, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -202*l = 538 - 6396 for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -467\/69 - -309\/23. Let r(o) be the first derivative of n*o**3 - 25\/2*o**2 + 10*o - 8 - 5\/4*o**4. Factor r(i).\nAnswer: -5*(i - 2)*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1221213 (base 5) to base 7\nAnswer: -124645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12150*x**3 + 13919*x**3 + 1 - 1.\nAnswer: 1769*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/110*-11*(-54)\/(-36)\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 3. Let b = -1 - 2. Let s be (-57)\/(-9) + 4\/6. Let m(r) be the third derivative of -r**5\/30 - 7*r**3\/6 - 4134*r**2. Give b*m(h) + s*o(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01313062227 take away 30.97?\nAnswer: -30.95686937773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - 0.1. Let q be 200\/(-15)*(-27)\/12. Let z = -212\/7 + q. Put 5, z, a in ascending order.\nAnswer: z, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, f: 1, p: 1, g: 7}. Give prob of sequence ggf.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/440 and -103\/1864640.\nAnswer: 20511040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, -8, -5\/6 in descending order.\nAnswer: 4\/3, -5\/6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -55*b**3 - 57*b**2 + 87*b - 23. Determine i(1).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 10 = -4*o - 2*b, 0 = -o + b + 5. Suppose o*v + 2 = 14. Suppose -v*d = -d - 90. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 368, 938, 1788, 2912, 4304, 5958?\nAnswer: 7868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -249037427.9 - -231202806. Let d = -17834651.8999972 - g. Let a = -30 - d. Round a to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.7 + 12.7. Which is the smallest value? (a) 0 (b) -1\/3 (c) h (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-315)\/140)\/(1503\/(-168) - -9).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6123989 to the power of 1\/2, to the nearest integer?\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 k when two letters picked without replacement from {p: 1, x: 2, k: 1, a: 5, f: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n + 3977 + 3961 - 11889 + 3972.\nAnswer: 2*n + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k - 8*k + 17*k + 8*k.\nAnswer: 28*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -116 + 122. Suppose 7*i + i = -n*i. Factor -4\/5*s - 2\/5*s**2 + 2\/5*s**3 + i.\nAnswer: 2*s*(s - 2)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 7*c. Let s(b) = -1173272*b. Calculate s(t(a)).\nAnswer: -8212904*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 100*w + 280. Let m(g) = -14*g - 40. Let h(q) = 4*l(q) + 30*m(q). Calculate the least common multiple of h(-5) and 226.\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3404 and -2463 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -119 (b) -5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*f = 18, -4*o + o + 3*f + 27 = 0. Suppose -o*q = -8*q - 4. Solve y + 4*t = -4, 0 = 2*y + q*t + 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -292*l**2 + 148*l**2 + 143*l**2 + 285*l.\nAnswer: -l**2 + 285*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.387282 years to millennia.\nAnswer: 0.004387282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncnncllcnbblblnbn. Give prob of sequence cll.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/35)*k*k)**40\/(k\/((k*k*k**2*k*k)\/k)*k*k*k**2\/k) assuming k is positive.\nAnswer: k**(559\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 80 - b7d?\nAnswer: -aed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40910 and 3702355?\nAnswer: 7404710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-9)*(-2)\/(-4)*132\/110?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (2*sqrt(720)*-5)\/(sqrt(16)\/(sqrt(16)\/sqrt(4)*1)).\nAnswer: -60*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15363*y**4 + 934*y**3 - 2*y**2 - 1918131*y - 1?\nAnswer: 184356*y**2 + 5604*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 5*z - 40, -3*z - 9*t + 24 = -14*t for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-2))\/((-9)\/(-1278)) + -3. Calculate the greatest common divisor of i and 320.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, v: 12}. What is prob of picking 2 v and 1 u?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -289859843.9999963 + 289859862. Let t = -9.9 + -8.1. Let l = t + c. Round l to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2184 - -6?\nAnswer: -2177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-425)\/119 - -3)\/((-20)\/(-14)). Let c = 1 + -1.04. Let q = 0.26 - c. What is the closest to n in 4\/7, -0.1, q?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**3 - 3*i**2 + 2*i + 2. What is t(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + (3 - -3) + -3. Let d(t) = -t**3 - 3*t**2 + 3*t - 2. Let w be d(-4). Let j be w\/((-2)\/(-5 + 1)). Solve j*i - 4 = -z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (46 - 44) + (-1 - 0) + 0. Sort -3, a, 18, 4.\nAnswer: -3, a, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1709, 3267, 4825, 6383, 7941?\n\"Answer: 1558*t + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvtttvtvvtv. What is prob of sequence dtt?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1288195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -92 (b) 7\/2 (c) -3\/8 (d) 0.2 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 22 = -2. Let b = n - -8. Let i = 5 + b. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 241 - 245. Let b(w) = 2*w**3 + 4*w + 5. Let u(n) be the second derivative of n**5\/10 + n**3\/2 + 2*n**2 + n. Calculate z*b(y) + 5*u(y).\nAnswer: 2*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120 by -60.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1887 + -571. Suppose 9*m = 727 + g. Is m a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 673833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-60 - -25) + 32 - (1 + -26)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 22.9. Let m = x + -6.1. Let i = 0 - 0.1. What is the smallest value in i, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 14*g**2 - 12*g. Let y(t) = 14*t**2 - 10*t. What is 5*s(q) - 6*y(q)?\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxp when three letters picked without replacement from lapcpex.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 0, -8, 3, -11 in ascending order.\nAnswer: -35, -11, -8, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*u**2 - 57*u**2 + 149*u + 477*u**5 + 320*u**5 + 40*u**2 wrt u?\nAnswer: 15940*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q = -44*q - 660. What are the prime factors of (5\/(-2))\/(q\/2244)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.121? (a) 5 (b) -5 (c) 8.877\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**3 - 1 + 5*x**3 + 87*x**4 - 88*x**4 - 6*x as g*x**2 + k*x**4 + t*x + z*x**3 + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 3:08 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -18, 35\/8, -40?\nAnswer: 35\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -143\/1128 - -1\/564. What is the second biggest value in -0.1, o, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t - 1. Let p be g(-1). Suppose 0*w + p*w - 6 = -b, 3*w - 13 = -2*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/4459 and -37\/1176?\nAnswer: 107016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5076659 divided by 298627\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -297*y - 6. Give x(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.02, -81, -0.1, 3\/7, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 a, and 1 k when three letters picked without replacement from pdkaapaxppdppdk.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -2*b + 26, 3*b + 8*m - 3*m = 38. Let i be b - 4\/1 - 2. Suppose i*v + 41 = 286. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2933 + -2935.8. What is the smallest value in -4, y, -2\/19, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 5:51 PM?\nAnswer: 9:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*(x**(1\/7)*x)\/x*x**(-3\/8))**(2\/41))**(-9\/2))**(2\/109) assuming x is positive.\nAnswer: x**(-891\/125132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wk when two letters picked without replacement from wkqqkqkkkqswgkwkg.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 divided by 78?\nAnswer: 19\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 158907765 to the power of 1\/2, to the nearest integer?\nAnswer: 12606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 242, 534, 922, 1394, 1938, 2542, 3194?\nAnswer: 3882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029351283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1733 is divided by 577.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4272924.\nAnswer: 2, 3, 356077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 q when four letters picked without replacement from ssswssssssq?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 8:04 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/(sqrt(21)\/sqrt(63)) - (sqrt(2)*-3 + -4)*-4)**2.\nAnswer: 288*sqrt(2) + 418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5527353 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 35 = 3*k, s + 5*k + 17 = -20. Let z be (-4)\/s + 80\/44. What is the third derivative of t**z - 2*t**2 - 5*t**5 - 3*t**2 wrt t?\nAnswer: -300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -34, -25887, 5 in decreasing order.\nAnswer: 5, -34, -25887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 + 172*g + 7396.\nAnswer: (g + 86)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g + 37. Let c(y) = 31*y**2. Determine f(c(u)).\nAnswer: 186*u**2 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 42?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*o - 3 - 34 = 0, 2*r + 13 = -3*o. Let a = -6 - r. Suppose -q + 22 = a*i, -6 + 70 = 3*q + 5*i. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7844983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -864*s + 160*s - 322*s + 194*s - 476*s in the form z + n*s and give n.\nAnswer: -1308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.998 rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 2:03 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1571 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1687, 3507, 5325, 7141, 8955, 10767, 12577?\nAnswer: 14385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/275625 and -64\/6125.\nAnswer: 275625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 53, 2, -27, 0 in descending order.\nAnswer: 53, 3, 2, 0, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 2)*(-5)\/10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 8 + l - 8. Let v(c) be the second derivative of c**6\/360 + c**4\/6 + 2*c. Let r(d) be the third derivative of v(d). Calculate g(r(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -903 divided by 301\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1436 <= -1436?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -99 + 115. Solve 16 - 92*h + 39*h**2 + 8*h**5 + 102*h**2 - 34*h**4 - 23*h**2 - a*h**3 = 0.\nAnswer: -2, 1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*-2*-1*2)\/(sqrt(45)\/(sqrt(10)\/sqrt(2)) + (-2*sqrt(81) - sqrt(9))).\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 91*r - 379. Let b be p(-95). Suppose 4*i = 2*c + 2*i - 12, -5*i = c + 12. Solve -3*o = -c*l + 5*l - b, -1 = l for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 6) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 676*o**2 - 676*o**2 - 6*o**3 + 17*o**3.\nAnswer: 11*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -9*x - 1. Let m(t) = -t. Let q(b) = b**2 - 20*b + 13. Let v be q(15). Let r be v\/12 - ((-328)\/(-48) + -7). Give r*m(p) + y(p).\nAnswer: -4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5349*j**3*u**3 + 7*j**2*u**3 - j**2*u - 8*j*u**3 + 7*j wrt j.\nAnswer: 32094*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that i**3\/5 - 14949*i**2\/5 + 6742072*i - 33695412\/5 = 0.\nAnswer: 1, 2766, 12182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-9)\/12*2\/(-6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(405)*-5 + 5 + (4*sqrt(30))\/sqrt(6) + 2.\nAnswer: -41*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.1 and 21629021156583.\nAnswer: 21629021156581.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 920701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 10590, -13?\nAnswer: 10590","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 592 (b) 1\/5 (c) -0.2 (d) -1\/2 (e) 2 (f) -7\/13 (g) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -517475*v**3 - 7*v**2 + 632859*v + 3.\nAnswer: -3104850*v - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5536137907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6213, -6151, -6091, -6045, -6025, -6043?\nAnswer: -6111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -12893379120 to the nearest one million.\nAnswer: -12893000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 289*j**5 - 70*j**2 wrt j.\nAnswer: 17340*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u - 2. Let k be m(-2). Let c(h) = -3*h - 6. Let s = 102 + -80. What is the remainder when s is divided by c(k)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 19784.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 374?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1695*j - 87982 - 8633 = 0 for j.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -369776444, -369776443, -369776442, -369776441, -369776440, -369776439?\n\"Answer: y - 369776445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1441269?\nAnswer: 3, 160141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2. Let h(g) be the third derivative of -2*g**7\/315 + g**4 - 28*g**2 + g. Let w(c) be the second derivative of h(c). Determine j(w(q)).\nAnswer: -512*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -38965 divided by 7793\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r + 22. Let k = 78 - 90. Let i be y(k). Let v(z) = z**3 + 6*z**2 - 2*z + 3. Let a be v(-6). Calculate the highest common factor of i and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/3*3\/42)\/(80*(-5)\/(-42)).\nAnswer: 3\/100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3148*k + 3161*k - 247 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -4, 3 = -s - 5*w + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*p + 29*p + 74*p - 540. Calculate the greatest common divisor of 264 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 583962 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = w - 114 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 4172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0*m)**(1\/3)\/(m**7\/(m\/((m\/m**(-1\/21)*m)\/m))) assuming m is positive.\nAnswer: m**(-47\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) -6 (c) -13 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7560 = -4*y + 4*m, 0*y + m + 9450 = 5*y. Let u = 13260\/7 - y. Determine f so that -u*f**2 - 18\/7*f**3 - 2*f - 2\/7 = 0.\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 10:54 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 2167*j + 53550. Determine i(-25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 527, 543, 559?\n\"Answer: 16*z + 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(624)\/(5*1*sqrt(12)))**2.\nAnswer: 52\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 2*g = 4*u - 7960, -3*g - 7963 = -4*u. Suppose u = 5*m - 482. What is the highest common factor of 45 and m?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 195529667929\nAnswer: -195529667932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10518?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(sqrt(9)\/sqrt(3)) + sqrt(54)\/sqrt(3)*-4)\/(sqrt(150)*3*5 + sqrt(150) + sqrt(150)).\nAnswer: -3*sqrt(3)\/85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 6*-3*sqrt(13))**2 - (2 + (-3*sqrt(1053))**2)) + 5.\nAnswer: -5253 + 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, q: 2}. Give prob of picking 1 q and 2 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.07 - 0.93. Let m = -31291 - -31287. What is the nearest to j in m, 2\/37, 4?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -69 + 71. Suppose 0 = -5*f - l + 17, 1 = f - 0*f + l. Which is the biggest value? (a) f (b) y (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -g - 3*u, -3*g + 2 + 2 = 2*u. Suppose g*a - 2 = 22. Solve -4*v - a - 10 = z, 0 = 2*z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 539 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 281256 to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9708124, 9707952, 9707766, 9707560, 9707328, 9707064?\n\"Answer: -m**3 - m**2 - 162*m + 9708288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(1260)\/sqrt(7))**2.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -2 + -1 + 11 + -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = b - 6*b + 5566, 5530 = 5*b - 5*p. Let l = b + -9980\/9. Factor -1\/9*o**2 - l*o - 25\/9.\nAnswer: -(o + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -5*r**3 + 6*r**2 - 15*r + 256. Determine j(7).\nAnswer: -1270","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1358554*v**3 - 1226136 with respect to v.\nAnswer: 4075662*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1668418 (base 9) to base 13.\nAnswer: -267b66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(24)\/sqrt(2))*3)\/(sqrt(20)\/(sqrt(5) - sqrt(20))*4).\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 197180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i + 7. Let h(l) = -l - 4. Determine -4*f(g) - 9*h(g).\nAnswer: g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 134280 and 134582130?\nAnswer: 538328520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39 (base 12) to base 8.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*b**2*c**2 - 1395*b**2*c + 31*c**5 wrt c.\nAnswer: -10*b**2 + 620*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44667 and 17016?\nAnswer: 357336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 - -45.9946. What is a rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*u. Suppose u = 20*f - 22*f - 18. Find the common denominator of (-2)\/f + (2 - (-86)\/126) and -137\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03016 + -20.51984. Is 0.1 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 147 - 54. Suppose -2*v + 5*r + 182 = 0, -2*v - 3*r - t = -3*v. Let b = -32 + v. What is the remainder when b is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 6*u**2 - 6*u + 3. Let w(a) = 34*a - 5. Let s be w(1). Let j = 39 - s. Calculate the remainder when i(-6) is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(3 + (-16)\/6) - -66. Let i = -61 + x. Suppose -n + i = 2. Solve 2*j - 12 - 2 = -4*g, -3*g - 4*j + 3 = n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5501 + 85605?\nAnswer: 80104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-7) + ((-21777)\/(-1225) - 18).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*h = -0*h + 10, 4*v + 20 = 4*h. Suppose -2*m + 4*b - 12 = 0, 6*m + 2 = m + 3*b. Solve -x + 7*p = m*p + 15, v = -5*x + 2*p - 29 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j. Let n(g) = -23*g + 4*g + 57*g**2 - 33 - 15*g + g. Let p(r) = -7*r**2 + 4*r + 4. Let s(q) = -4*n(q) - 33*p(q). Calculate o(s(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 287.151 - 287. Let c = 2.849 + x. Sort -3, -0.4, c in descending order.\nAnswer: c, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 f when four letters picked without replacement from yfyxffffffmfxyfyf.\nAnswer: 12\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 80*a**2 - 2161. Let h(r) = -186*r**2 + 4321. What is 7*f(o) + 3*h(o)?\nAnswer: 2*o**2 - 2164","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2626 and 217195147?\nAnswer: 1313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3658719 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: Suppose -14*u = 31*u - 5220. Let c(z) = -z**3 - 10*z**2 + 6*z + 11. Let s be c(-10). Let m = s + u. What is the remainder when m is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -317 divided by -17949.\nAnswer: 317\/17949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert a2 (base 15) to base 10.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 1\/6 (c) -0.5 (d) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*r + 52*r = -40. Suppose 0 = r*p - 282 - 58. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 13824*k**3\/5 - 12096*k**2\/5 + 3528*k\/5 - 343\/5 = 0?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 336198509 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5*y + 6 = 0. Suppose y*x - 999984 = 4*w, -w - 1999988 = -4*x + 2*w. Round x to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 86098216 to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 13*h**3 + 2*h**2 - 2*h. Suppose 4*b - 23 = -2*s - 3, -2*s - 12 = -4*b. Let j be p(s). Let o = j - 66. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010706835326 rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k + 0*k + 0*k - 3*k to y + j*k and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8\/6*((-153)\/170)\/(6\/10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112578619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - 11010110010110?\nAnswer: -11010110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d - 9. Let c(z) = z**2 + z + 1. Let u be c(-4). What is the lowest common multiple of 10*4\/(-8)*-1 and p(u)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a week in minutes?\nAnswer: 5376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.222777516?\nAnswer: -0.0891110064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) 3 (b) -5 (c) 13 (d) 0.24 (e) 10 (f) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**4\/24 - 10*z**2. Let r(b) = -1. Let j(a) = -5*r(a) + u(a). Calculate the remainder when 17 is divided by j(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-435)\/2925 + (78\/65)\/6?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r + 20 = 0. Suppose 0 = g + r*g - 35. Solve 3*x - 7*b + 2*b - 25 = 0, -b - g = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2040*u**2 - 4064*u**2 + 13*u**3 + 12 + 2020*u**2 to f*u + g + n*u**2 + v*u**3 and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.8 + 3.8000048. Round d to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (9 + -1)\/4. Find the third derivative of 7*l**4 + 14*l**5 - 10*l**4 + x*l**4 - 2*l**2 wrt l.\nAnswer: 840*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1512 divided by -12.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -9905, -4, -548 in descending order.\nAnswer: -4, -548, -9905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.2065963 rounded to 2 decimal places?\nAnswer: -25.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/5)\/(n\/((n\/(n\/(n\/(n*n**1))))\/n*n))*n**1\/((n*n**(-3)*n)\/n) assuming n is positive.\nAnswer: n**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 1\/168*j**8 + 0*j + 0 + 0*j**4 + 0*j**6 + 1\/60*j**5 + j**2 + 0*j**3 - 1\/70*j**7. Factor y(k).\nAnswer: k**2*(k - 1)**2*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1576*o + 1110*o = -1398 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 852*j + 850*j - 1704*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -183 - -185. Let i = 26 + -14. Suppose 0 = -d - d + i. Calculate the smallest common multiple of x and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 43*g**2 - 255*g - 3149. Give l(-47).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, x: 4}. Give prob of picking 2 x.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 2*p**2 - 2*p + 30. Let a be q(-7). Is (-10)\/((-10)\/(-15) + a\/288) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.62 + -1.62. Let f = 7 - 5. Let h = 2.5 - f. Which is the nearest to 0? (a) 4 (b) d (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 30798*b**3 + 15796*b**3 + 15003*b**3.\nAnswer: b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 555428?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**3 - 145*m**2 - 112*m - 69. Is v(-49) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6439 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 124191676?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -183979\/68067 - 2\/2521. What is the common denominator of 400\/(-66) + (-76)\/(-19) and r?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 7*v. Suppose -5*s - 4 = -2*p + 6*p, -5*s - 28 = -2*p. Let c(w) = 3*w + 4. Let l(y) = 5*y + 7. Let d(b) = s*l(b) + 7*c(b). Calculate d(n(a)).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u + 3. Let x be s(-2). Let d = -7 - x. Solve -4*c = -12 - d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/98525 and 73\/18016?\nAnswer: 3152800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -5*r - 180. Let n = -18 - r. Let g = 45 + -26. Which is smaller: n or g?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + i = -12, i = -x - 3*i - 6. Let p be -1*x*(-3)\/3. Find the third derivative of -p*h**6 + 2*h**2 + h**6 - 2*h**6 wrt h.\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**7)*c**7)**27*((c*c*c**(2\/9))\/(c**(3\/4)\/c))**(1\/4) assuming c is positive.\nAnswer: c**(89\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 7. Which is smaller: -6 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297*i = 4202 - 44 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13601 + -13464. Calculate the remainder when 261 is divided by c.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 938436 and 18?\nAnswer: 2815308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -10 + (-1 - 9) + 18?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001369 to 4 dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 40*c - 47. Let d be h(5). Suppose -5*p + d = 4*p. What is the remainder when 99 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 98616 times -0.2\nAnswer: -19723.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**4 - 5*j**2 - 16*j**3 - j**4 + 15928*j - 15948*j + 43*j**2 = 0.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16595146.19648 minus -0.5?\nAnswer: 16595146.69648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -745c7c (base 13) in base 3?\nAnswer: -12010111221012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in millimeters?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -11*f. Suppose 5*k + 3*a - 5*a - 25 = f, 20 = 4*k + 2*a. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-21)*i**(-3\/28)*i)\/((i*i**(3\/19))\/(i*i**(-2\/3))))**(-2\/71) assuming i is positive.\nAnswer: i**(33407\/56658)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 34056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-4013)\/(-4) - -2. Let a = -994 - p. Calculate the common denominator of a and (4\/(-16))\/(2\/(-118)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 65*p**3 - p**2. Let a(o) = o**3 - 8*o**2 + o - 7. Let x be a(8). Is 20 a factor of d(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + i + 10, 5*d + 2*i + 0 = -5. Let c be 4\/9 + 2\/d. Which is smaller: 0 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -z + 38, -4*q - 84 = -3*z + 63. Solve z*l - 165 - 47 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3452.4 - -3452. What is the third biggest value in l, 3, -952?\nAnswer: -952","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 910 is divided by 127?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of g**2 - 2. Let q be y(3). Let z(k) = 10*k + 2 + 0 + 7*k - 27*k + 7*k. Calculate z(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 27*b**5\/20 + 5*b**4\/12 + b**3\/6 - 6*b**2 + 24*b. What are the prime factors of o(3)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((0 + sqrt(275) - sqrt(275))*6 + -3*(sqrt(275)*-1)**2)*-4.\nAnswer: -13200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 170162498?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l**2*w**3 - 263020*l**2*w**2 - 2423*w**3 + 39*w**2 wrt l.\nAnswer: -2*l*w**3 - 526040*l*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*w + 20 = 0, -6*w + 3*w + 3 = -3*y. Suppose 0 = 5*i - y*l - 337 + 18, -5*i = 4*l - 333. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000085 rounded to 6 decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.7 + -3.2. Let f = z + -6.8. Let d = -766\/7 + 110. What is the biggest value in f, d, -0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (2*12\/16)\/(6\/47604) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 - -2 - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8283 + 716.5717. What is m rounded to the nearest ten?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*n - 1033 + 18731 = -7649 + 3417 for n.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 26\/5 of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1112 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4798294*m**4 - 7231664?\nAnswer: 19193176*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 3*h. Suppose -5*p + h = -105. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1864331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 101000 (base 2) to base 7\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24)\/(-18))\/(-1))\/((-12)\/(-6))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38571595 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 9071, 9061, 9051, 9047, 9055, 9081?\n\"Answer: k**3 - 6*k**2 + k + 9075","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/3)\/((-7)\/63). Let v(j) = j**3 + j - 3 - 5*j + 8*j - 3*j**2. Give v(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -4*i**3 - 45608*i**2 + 548052*i + 2054520 = 0.\nAnswer: -11414, -3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 28\/8)\/((-5)\/30). Let w be (4\/(-6))\/(2\/(-18)). What are the prime factors of ((-9)\/w)\/(b\/(-50))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 438 (base 9) to base 5\nAnswer: 2414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1088723788.\nAnswer: 2, 19, 14325313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1 - 9 = 0. Suppose -3*d - 2*d + a*j + 18 = 0, 2*j - 2 = 0. Determine c, given that -1\/3 - 2\/3*c + 0*c**2 + 2\/3*c**3 + 1\/3*c**d = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/((-36)\/16) + 6. Find c such that -44*c + 35*c**2 + 29*c**2 - 48*c**g + 4*c**3 + 24 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 11:11 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -3\/4 (b) 3\/5 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 72?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(-6)*9\/(-6). Suppose -3*l + 15 = -3*b, -2*b - m = -3*l - 4*b. Solve l*d + 16 - 1 = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1762510 (base 10) in base 8?\nAnswer: -6562316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 13 = 2*w, -2*a + 20 = 2*a - 4*w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1820\/16)\/13*59\/(-295).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2182*c**3 + 7265*c?\nAnswer: -13092*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*1*16\/40*-1*7\/(-28)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -78? (a) 6 (b) -2 (c) 0.2 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -36*c + 29*c + 9*c - 11*c**2 + 6*c + 18*c as v*c**2 + n + j*c and give j.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x**2 + 22*x - 56. Determine j(-6).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 10:31 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 - 59. Suppose z*u - 2689 = 3057. List the prime factors of u.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-30))\/((-539)\/(-561) + -1).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70036.\nAnswer: 2, 17509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-27)\/36)\/(25*(-23)\/(-1150)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1230023447.\nAnswer: 1230023447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1*-2*(65\/60)\/(-13)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 7*f**2 - 5*f - 2. Let u(n) = -n + 7. Let k be u(5). Suppose k*x - 13 = 3. What is the smallest common multiple of 20 and t(x)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -822.0006225 - -822. What is p rounded to five decimal places?\nAnswer: -0.00062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(2880)*-2 + 1*sqrt(2880)*1)**2.\nAnswer: 144*sqrt(5) + 2889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/(-11))\/(4\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 19. Let k = 23 - q. Suppose -a + 6 = 4*n, -4*a - 1 = -5*n + 17. What is the third smallest value in a, k, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r - 7. Let i be d(-4). Let a = i + 39. Suppose -a*l + 20 = 0, -4*l = h - 29 - 76. What are the prime factors of h?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1488*x - 13265*x - 1755607 for x.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22843 and 478007?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -6. Suppose 0 = 4*s - 5*z - 565, -u*s + z = 3*z - 530. Let a(h) = -8*h - 1. Let x be a(-2). What is the greatest common factor of s and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5716544?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5 + 11 = 0. What is f in 7*f**2 - 17*f - 10*f**z - 7*f - 48 = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 10, -2*s - 2*s - 4 = 4*i. Factor 5*l**2 - i*l - 4*l**2 + 8 - 3*l**2 + 0 + l**3.\nAnswer: (l - 2)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 63\/5248855 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -680121 + -25.7505\nAnswer: -680146.7505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1103 + 4?\nAnswer: -1099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4757856?\nAnswer: 2, 3, 29, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 55944 divided by -3211\nAnswer: -55944\/3211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 0*y - 6*y**2 - 1\/60*y**5 + 0 - 5\/24*y**4 + 5\/6*y**3. Suppose -110*q + 120*q + 80 = 0. Determine h(q).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*h - 55 = 380*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.2 + 1.8. Which is the closest to 0.1? (a) v (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 3*k**2 - 2*k**2 + 7*k**2. Let z(c) = c. Determine z(t(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**10\/15120 + z**9\/7560 + z**8\/3360 - z**7\/1260 - 5*z**4\/6 - 2*z. Let n(v) be the third derivative of i(v). Factor n(q).\nAnswer: -2*q**2*(q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -5*o**4\/24 - o**3\/2 - 2*o**2 - 5*o. Calculate l(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 206.6992633 to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -i - 8, 0 = 16*v - 13*v - 5*i - 1. Let n(z) = 5 - 3*z + z**2 + 0*z + 6*z**2. What is the remainder when n(v) is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23152, 46319, 69510, 92737, 116012?\nAnswer: 139347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-6)*0)\/(-1). Suppose 4*r + d*r = 32. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4886308*t**2. Let w(m) = -21*m**2. Calculate w(b(o)).\nAnswer: -501396123288144*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25\/3? (a) 3 (b) 0.7 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**4\/(n*n**(2\/9))*(n**(1\/3))**(-30) assuming n is positive.\nAnswer: n**(-65\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -8*w - 5. Let r be t(0). Let x(l) = 5*l**2 + 3*l + 2. Let k be x(r). Let g be 3\/15 + k\/40. Solve -g - 9 = -3*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**5\/9 + v**4\/3 - v**3\/9 - v**2\/3 + 2*v\/9 = 0 for v.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 153, 425, 951, 1815?\nAnswer: 3101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 252764 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -75537 divided by 5?\nAnswer: -75537\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuururuu. Give prob of picking 1 u and 2 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 219, 1, 6\/151, -2\/61, 2, -3\/7?\nAnswer: 6\/151","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 6*m**3 + 70*m**2 - 24*m = 0.\nAnswer: -12, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 659768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -s + 6*s. Suppose 3 + 9 = -s*w. Is (w\/4)\/(15\/(-6910)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pphchpcpp. Give prob of sequence hcc.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y - 10. What is j(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.08 + 0.82. Let s = z + -0.8. What is the nearest to s in -2, -3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102368015 times 4?\nAnswer: -409472060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 0) + (-18 - (20 - (23 + -121)) - -8).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -5323482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15401.776 - -15402. What is the nearest to 0 in -1, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -0.3 (c) -0.03 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -14*p**2 + 12*p + 7. Let s(c) = -35*c**2 + 28*c + 13. Let r(k) = 7*o(k) - 3*s(k). Let b(f) = -8*f**2 - 11. Calculate 5*b(n) + 6*r(n).\nAnswer: 2*n**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 21 = 2*j, 0 = -4*o - 3*j + 7 + 4. Suppose -6 = 5*c - 3*p, o = 2*p + 1. Suppose 12 = 4*l - l. Solve r = -i + 1, c*r + 8 = l*r + 2*i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 6.4. Let t = c + 3.3815. Round t to three dps.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*z - 7 - 16, -4*v + 17 = -3*z. Suppose -l + v*l = 3. Let i = 277.4 + -277. Which is the third smallest value? (a) 0.01 (b) i (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*m + 39*m = -5*v - 15, 0 = -m + 3*v + 9. Sort 5, m, -41, -2 in decreasing order.\nAnswer: 5, m, -2, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1197287576 rounded to 3 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-51 - -58) + (14 - ((-9 - 3 - -6) + 11)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28811209*o**5 + 5*o**4 + 346*o + 367208 wrt o.\nAnswer: 576224180*o**3 + 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -33027, -33023, -33017, -33009, -32999, -32987, -32973?\n\"Answer: l**2 + l - 33029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 + 299*j + 86 - 1050*j**2 + 1054*j**2.\nAnswer: 4*j**2 + 299*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/20)\/(12\/(-64)). Suppose k - s = -w, -3*k = 4*w - 7 - 7. Solve -3*z = -3, -4*z + 5 = w*c + 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**9)**(-36)*s\/((s*s**(-6\/25)*s)\/s*s)*(s\/(s\/((s**(15\/8)*s)\/s)))\/s)**31 assuming s is positive.\nAnswer: s**(-2008087\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 34*k**2 + 35*k + 520. Let w be a(-19). What is w rounded to the nearest 100?\nAnswer: 12100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**4 + 11*n**3 - 18*n**2 + 20*n - 4. Let b(l) = l**3 + 1. Let i(w) = 4*b(w) - x(w). Find t, given that i(t) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76406140 and 170570?\nAnswer: 4610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -1)\/((-12)\/(-36) - 0). Let o(f) = -f + f**3 + 1 + 3*f**2 - 2*f - 4. What is o(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 68*s + 71*s + 1189 = 0, 2*s = 10. What is the greatest common factor of 28 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, m: 1, d: 9, g: 1}. What is prob of sequence gmd?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**4 + 275*s**3 + 1705*s**2 - 5315*s - 6744 = 0.\nAnswer: -8, -1, 3, 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -10*x + 83, 1446*x - 1450*x + j = -33 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1769.445 - -1764. Let i = c - -9.16. Let h = i + -3.8. Round h to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-26 + 10) - 4\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 8*i**2 - 10*i - 23. Let m be l(-7). Let k be (m + -1)*(1 - 0). Let c(a) = a - 4. Give c(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j**2 + 4*j - 3. Let f be k(-3). Let z = -8 - f. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.664746s in minutes?\nAnswer: 0.4610791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s**3 - 4*s**2 - 2*s. Let x be g(-1). Solve -b = x*b - 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/204606 and 113\/5598?\nAnswer: 63632466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -44 times -42777.29\nAnswer: 1882200.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence toot when four letters picked without replacement from {o: 11, t: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2735782 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34 - -39. Suppose -g*b + 252 = -1203. List the prime factors of b.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**3 + 902606*p**2 + p + 1580932 wrt p?\nAnswer: -6*p + 1805212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2443, 2297, 2153, 2011?\nAnswer: 1871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 is divided by (-10)\/200*-44 - 3\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3370 + 38924. What are the prime factors of x?\nAnswer: 2, 29, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 33*t**2 + 622*t - 92. What is k(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21.5 + 22. Suppose -5*o - 6 = -2*o. Let x = 6 + o. What is the closest to -4 in -2\/21, x, c?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 279177923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 37 = 2*g, 0*a + a = -3*g - 16. Let p(j) = -j**2 + 4*j + 1. Let w be p(4). Is a*(0 - (w - 0)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, 0.6, 0.2, -0.3 in descending order.\nAnswer: 0.6, 0.2, -0.3, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3724411, -3724134, -3723855, -3723574, -3723291?\n\"Answer: p**2 + 274*p - 3724686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -703*r + 702*r + 2 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 13*l - 14 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -11\/60*y**5 + 5\/2*y**3 - 1\/120*y**6 + 0*y + 0 + 91*y**2 + 1\/12*y**4. Calculate x(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 3*i**2 + 5*i - 2. Let k be v(4). Suppose 0 = 4*t + 3*x - 468, -t + k*x - 7*x = -100. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a litre in millilitres?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 0)*((5 - 2 + 0)*(0*b + 2*b**4 + 0*b) + 6*b**3 + 19*b**4 - 6*b**3).\nAnswer: -125*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - x**2 + 23*x - 28. What is j(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.0816 + 2.1316. Put k, -0.3, 18 in decreasing order.\nAnswer: 18, k, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1132118mg to kilograms.\nAnswer: 0.0000001132118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6 - 197\/(-3). Suppose -k = -2*c - 20, 5*c + d = k + 2*k. Let a = -1865 + 1883. What is the least common multiple of k and a?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84861.466 rounded to the nearest one hundred?\nAnswer: -84900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000001159546 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 3)\/(2\/30). Let l(w) = -w**2 - 7. Let g be l(-6). Let k = i - g. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -4. What is the tens digit of (3 - z)\/(1\/13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/3065 and 83\/15.\nAnswer: 9195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 - 40. Let l(p) be the third derivative of -p**5\/60 + p**4\/6 + 5*p**3\/6 + 2*p**2. What is l(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62847564 divided by 402869\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -3\/5 (c) 5.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -301, -409, -589, -841, -1165?\nAnswer: -1561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tgoj when four letters picked without replacement from {o: 2, j: 1, t: 4, g: 2}.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**2 + 0*a**2 + 3*a**2 - 32*a**2 - 359 + 359 + (a**2 - 2*a**2 + 2*a**2)*(0 - 2 + 0) to the form t*a + c*a**2 + y and give c.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 5*f - 35, 3*q + q - 2*f + 2 = 0. Suppose 19*j = -61 - 91. Let b be ((-2)\/j - q)*(-2 + 6). Is b < -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 102\/18305783?\nAnswer: 102\/18305783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c - 11. Let r be d(5). Suppose -2*p - 46 = -2*m, -p + 61 = -m + 4*m. Is r\/((-48)\/m - -2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2287978 + -1363947. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -9*y + 5*y. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 + -1.6. Let w = l + 1.2. Let y be 2\/6 - (-7)\/6. Put -2\/9, w, y in increasing order.\nAnswer: -2\/9, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27330745 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*o + 2. Suppose j + 14 = 5*d, -6*j = 4*d - 7*j - 11. Sort 7, -3, d, o in decreasing order.\nAnswer: 7, d, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 972 + 304. Does 22 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1194 = -8*q - 442. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12048.55113598 + 12046.7535. Let n = 6.30236792 - r. Let b = -8.1 + n. Round b to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g + 7*g + 97 = -20*b, b - 5*g - 5 = 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4 - 375*y**3 - 27045*y**2 + 1947375*y + 6075000.\nAnswer: 5*(y - 75)**2*(y + 3)*(y + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -2469?\nAnswer: 2468.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 44169827.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7789, -11, -10.\nAnswer: -11, -10, 7789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1116 + 4?\nAnswer: 111a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oorwkadra. What is prob of sequence dow?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 = -4*y + 3*k, -4*y + 73 = -4*k - 87. Suppose -6*h = -11*h + 9*h - 168. Is y >= h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29.7 - -30. Which is the nearest to 2\/7? (a) w (b) 0.4 (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 5*g - 13, -4*r + 0*r = -4*g - 20. Suppose -r*p - 6 + 51 = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5*(sqrt(2) + 0)**2 - sqrt(2)) + sqrt(200).\nAnswer: 9 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 633628413 a multiple of 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.3, -2\/3, -8\/3 in increasing order.\nAnswer: -8\/3, -2\/3, -0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 0.063066?\nAnswer: 4.936934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -17) + (-14 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3611880 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/3 (b) 1.8 (c) 2\/473 (d) 251 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) -7.37 (c) -10 (d) 11 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 373\/3, -2\/15, 4833?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -928, -1607, -2036, -2215, -2144, -1823?\nAnswer: -1252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (109\/(-10))\/(((-2310)\/7)\/10). Let v = 1\/330 + c. What is z in -v*z**2 - 2\/3 - 7\/6*z + 1\/6*z**3 = 0?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7\/8 - -61\/24. Let c = -2.4 + 2. Let z = -0.06 - 0.24. Sort l, c, z in descending order.\nAnswer: l, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.205627 + -0.72432. Let d = 0.93 + n. What is d rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 - 4*k**3 - 27*k**2 - 38*k - 16.\nAnswer: (k - 8)*(k + 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (7 + -13 + 5 + 1) - 11.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59300938*f + 59300938*f - 8*f**3.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, g: 1, k: 4}. Give prob of sequence gk.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -82\/5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -47*o**2 + 1544*o + 199. Determine d(33).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -4*b + 14, 0 = 2*k + 3*b + 2*b - 9 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-10) - ((-1296)\/(-21))\/((-540)\/504)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z**2 + 12*z + 9. Let i(h) = 5*h**2 - 11*h - 10. Let w(d) = -6*i(d) - 7*k(d). Let o = -101 + 111. Is w(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 252*g**5 - 8335*g**4 - 4*g**3 + 6581621*g**2 - 3*g + 1?\nAnswer: 15120*g**2 - 200040*g - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - c + 1. Let y(t) = 4*t**2 - 2. Let p(x) = -3*u(x) + y(x). Let i(m) = 2*m + 6. Let h be i(-2). Let z be p(h). Solve -11 - 9 = z*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8888007 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a centimeter in micrometers?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -10. Let a(m) = 1 - 8*m + 6 - 3*m + 6*m + v*m**2. Let y(d) = -d**2 + 3*d - 4. Determine 3*a(k) + 5*y(k).\nAnswer: k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 18*d + 21. Let p be g(19). What is the third derivative of -5*o**4 + 11*o**p + 6*o**4 + 9*o**5 - o**4 wrt o?\nAnswer: 540*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 308 divide 555423176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8480 at least as big as 8484?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2459 + 0.4159. Which is the nearest to u? (a) -2\/17 (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 792943 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/42 and -55\/2448.\nAnswer: 17136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2741811 times 134?\nAnswer: -367402674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1313 in 77, 4, 1\/3, -0.1, -2?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q - 13 = 7*q + c, -3*q + 26 = -4*c for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -26. Which is the second smallest value? (a) -10 (b) 0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 238055.\nAnswer: -238054.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*n - 1581 = -1631 - 2470 for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7007, 7291, 8067, 9581, 12079?\nAnswer: 15807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 187 - 115. Let s(p) = -p**3 - 2*p**2 - 3*p. Let g be s(-2). Let f be 1 - g\/(l\/20). What is the closest to -1 in 0.1, 3\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1331?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -13*p + 127. Let t be s(-36). Suppose -1715 + t = -8*n. Is n a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3000 - 3000 - 93*k**2 to z*k + s + m*k**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -570 and -618 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.068, 0.1, 0.3?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/9)\/(r*r**(-2)*r)*(r**1*r)**32 assuming r is positive.\nAnswer: r**(574\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-11)*(-34)\/(-15). Let m = z + 2\/165. Let u = 1 - 3. What is the second biggest value in u, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -113 - -112.5. Let u = 17 + -35\/2. What is the closest to u in 1, o, 2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of -q**5\/60 - 23*q**4\/24 - 17*q**3\/2 - 833*q**2. Determine s(-22).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-49 - -2) + (13 - (57 + -60 + 25))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express t**2 + 2*t**2 - 6*t**2 + (1 - 1 + 6*t**2)*(-4 + 5 - 2) + 0 + 0 + 3*t**2 as f*t**2 + u + a*t and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 4:10 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -125*j**5 - j**3 - 6. Let s(b) be the third derivative of r(b). Let q be s(8). Round q to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14358.4182 hours in weeks?\nAnswer: 85.466775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-412)\/(-60) + 49\/(-7) + (-38)\/(-95).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115791, -231849, -347907, -463965, -580023, -696081?\nAnswer: -812139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 + 43 = -25*u. Is 85 a factor of ((-115)\/(-15) - u) + 3826\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 328937114?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-76)\/5 - ((-4)\/20)\/1. Let z = 125 + m. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/8 of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.6 or -532564?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 4*i**3 + 14359*i**2 - 86299*i + 6. What is l(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5594 times 6?\nAnswer: -33564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -6*z**2 + 11*z + 11. Let t(y) = y**2 - 2*y - 2. Let v be (-3)\/(-7) - (-22)\/14. Determine v*c(r) + 11*t(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mpm when three letters picked without replacement from mmpm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1112 and 220.\nAnswer: 61160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 3, p: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -135031, 6.\nAnswer: -135031, -12, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -25 (b) -0.5 (c) 0.7 (d) 3 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2658717?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 502*p**3 + 131*p**2 - 79*p - 54493075.\nAnswer: 1506*p**2 + 262*p - 79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(4\/5))**24\/(s**(3\/4))**(1\/28))**(-49) assuming s is positive.\nAnswer: s**(-75159\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7691155 + 7691155 + 1729*u**2.\nAnswer: 1729*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-5))\/(4\/5). Let s = -8 - -3. Suppose 11*i - 16*i = -15. What is the biggest value in h, i, s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 15*b**2 + 1124 - 2284 + 1162. Let a(s) = -26*s. Determine g(a(t)).\nAnswer: 10140*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -417*d + 325. List the prime factors of x(-22).\nAnswer: 7, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*i + 7 + 17, 2*l + 3*l + 182 = -43*i + 15 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/18)\/(((-140)\/(-42))\/5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-82)\/(-1 - (0 + -2)). Let w be 4\/14 + 1240\/(-28). Let h = w - p. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 10) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 35 = -14*m - 32 + 57, -48*y - 32*m - 420 = -28*m for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 0) + 76310\/16. Let s = -4781 + u. Calculate the common denominator of s and 81\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - a**2 + 2*a - 1. Let h be n(-3). Suppose z + 2*b - 8 = 0, 3*z - 7*z = b - h. Find the third derivative of y**5 - 12 + 12 - y**z wrt y.\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/6)\/(2\/(-15)). Let v = -48 + 171. Suppose -4*f - l + 8 + v = 0, 0 = -f + q*l + 59. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 - 62. What is the remainder when 55 is divided by w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 44*u**2 - 2*u + 2. Let w(b) = -2156*b**2 + 99*b - 99. Determine 99*f(d) + 2*w(d).\nAnswer: 44*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**2\/7 + 22226*s\/7 - 22228\/7 = 0.\nAnswer: -11114, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 3\/8, -2, 5881, 4, 5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 17*p - 5. Let l(i) = -1 + 20*i + 12 - 62*i + 23*i - 14*i. Determine 4*l(q) + 9*y(q).\nAnswer: 21*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/24*(-1)\/27*-18?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16116193.668865 - 16704602.68086344. Let a = -588409 - p. Let m = a + -0.012. What is m rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 23 - (-458 + 467)) + -68.\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -47*n**2 - 4*n. Let u(c) = 48*c**2 + 4*c. Calculate 5*q(t) + 4*u(t).\nAnswer: -43*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4409518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20063, -20064, -20065, -20066?\nAnswer: -20067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.017, -1, 1\/2, -2\/3?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 0.2, -0.2, 5, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -136*y + 2. Let b be l(1). Let n = -77 - b. What is the greatest common divisor of 38 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - k**2)*(7 + 4*k - 7)*(-2*k**2 + 1 - 1).\nAnswer: 8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 + 49 - 49 - 3*b + (-1 + 1 - 2*b)*(-3*b - 2 + 2) - b**2 + b**2 + 3*b**2 - 3 + 3 + 2*b**2.\nAnswer: 12*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 10*v + 182. Let z(p) = 2*p**2. Calculate z(f(y)).\nAnswer: 200*y**2 + 7280*y + 66248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*i**2*k*t**3 - 4*i**2*k*t + 9*i**2*k + 3*i**2*t**2 - 2*k*t**2 - 5*t**5 wrt t?\nAnswer: -120*i**2*k - 300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1388281 + 627511 = 16*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98440 - 8186*z**2 + 98444 - 196884.\nAnswer: -8186*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 380, 1857, 4314, 7745, 12144, 17505, 23822, 31089?\n\"Answer: -b**3 + 496*b**2 - 4*b - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 90980.57 kilometers in millimeters?\nAnswer: 90980570000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**3 + 2*b**4 - 2*b**3 - 5 + 0*b**4 + 4 + 12*b**2 - 4*b**2 to n + v*b**4 + h*b + x*b**2 + i*b**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346 = -5388*z + 5387*z. Calculate the remainder when z is divided by 24.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {e: 2, n: 4, w: 3, z: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27 + 12 - 57 - 18*q + (-5 + 4 + 0)*(2*q - 1 + 1).\nAnswer: -20*q - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eq when two letters picked without replacement from ddyqeqqece.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**2 + 4 - 9 + 5 + 5 to the form a*y + m*y**2 + c and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5194049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2319.6408 minutes to hours.\nAnswer: 38.66068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 7408 = 4*k - 7387, 9*k - 2*q = -26 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o. Let v(q) = -9 - 21*q + 22*q - 45. Calculate v(r(m)).\nAnswer: m - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 9*s**5 + 17*s**4 + 15*s**3 + s**2 - 2*s. Let h(t) = 10*t**5 + 16*t**4 + 15*t**3 + t**2 - 2*t. Let o(d) = -4*h(d) + 6*y(d). Factor o(w).\nAnswer: 2*w*(w + 1)**3*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 1 - 3*h**4 - 84*h**2 + h + 90*h**2 + h**3 to p*h + y*h**3 + s + b*h**2 + t*h**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 13 - (-68783)\/715*5\/(-65). Find k, given that -16\/5 + 76\/5*k**2 + 32\/5*k + a*k**3 = 0.\nAnswer: -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3102 is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -2\/17, -4\/339, 5, -4, 0.01?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -8*v - 13. Let o be y(-10). What is the units digit of o - (-1 + 3)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114340 (base 5) to base 6\nAnswer: -32041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1\/4, 0.4, -1083.7, -90.\nAnswer: -1083.7, -90, 0.2, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 - 11*y - 8. Let k be t(-8). Suppose 0*j - k = -j. Solve 4*r = -2*a + j, 3*a = -0*a for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113146664 is divided by 213.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, e: 1, g: 3}. What is prob of sequence ke?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 8. Let h = 53 - 60. Let y = h + o. Calculate the highest common factor of y and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 14406?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1512222 to the nearest integer?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 22*b**2 - 116*b + 43. Let v be d(-10). Solve v*y = 3*a + 24, 74 = -5*a + 2*y + 43 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -a**6\/15 + 27*a**4 + 657*a**2\/2 - 589*a. What is the derivative of v(k) wrt k?\nAnswer: -8*k**3 + 648*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -155*r + 24. Let w(i) = -i + 5. Give g(y) - 5*w(y).\nAnswer: -150*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2035*k**3 - 36626*k**2 - 88*k + 290. Give l(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -343*g**2. Let q(j) = 69*j. Calculate r(q(d)).\nAnswer: -1633023*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 - (-3 + (11 - 6)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49618 less than -0.1?\nAnswer: -49618.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4640791.\nAnswer: 4640791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 3 + 3 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*q**5 + 80*q**4 - 20*q**3 - 90*q**2 - 25*q + 10.\nAnswer: 5*(q - 1)*(q + 1)**3*(9*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 1\/7 (b) 810 (c) 2 (d) 5 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08 - -5.92. Let b = -5.9999995 + j. What is b rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 - -13*(-1 - -4). Does 47 divide h\/88 + -2 + 12447\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**6\/210 - v**5\/140 - v**4\/42 + 101*v + 10. Let t(q) be the first derivative of u(q). Solve t(m) = 0 for m.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 - 360914*w**2 + 32564728849*w.\nAnswer: w*(w - 180457)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11686 is divided by 5564?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 9*z**2 - 19*z + 9. Determine h(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2775065617?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-2))\/((-9)\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 0. Let a = 9 - f. Sort a, 2\/3, -3 in descending order.\nAnswer: a, 2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 287\/484 - 102\/121. Sort -3, 0, x, 42 in decreasing order.\nAnswer: 42, 0, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqlruufulflluqj. What is prob of picking 1 f and 1 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 279743024 to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.037477 and 31.\nAnswer: -1.161787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10442 + -4?\nAnswer: 10433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 1:55 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 + 0*t**2 + 0*t**2 + (125*t - 9 + t**2 - 125*t)*(t - 2*t - t) in the form i*t**2 + f*t + d + r*t**3 and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + (-2 - -4) - (-36 - -28)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -103, -1038, -2 in increasing order.\nAnswer: -1038, -103, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times 0.9324?\nAnswer: 0.074592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -178991949*d**3 + 22303*d + 2422.\nAnswer: -1073951694*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 0 + 0*f**2 - 3\/20*f**5 + 0*f**4 + 3*f + 2\/3*f**3. What is the second derivative of h(k) wrt k?\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -639, -4, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (1 - 42\/11)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -1. Let t(y) = 4*y**3 - y**2 - y + 1. Let l be t(b). Let i be l\/(-6)*(-1 - 3). Solve 4*r + 5*x + 22 = 0, 0*x = 2*r - 2*x + i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 158194 and 34362?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -80, -215, -392, -605?\nAnswer: -848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 369\/14 - 2651\/112. Find the common denominator of c and -71\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(108) - (sqrt(108) - (-2 + sqrt(108))) - sqrt(108)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g + 1902 = 2*w, 3779 = 4*w + g. What is the first derivative of 99*s**2 - 1924 + 959 + w wrt s?\nAnswer: 198*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/14)\/((-2)\/13). Let o = -1.861406 + -1.138594. Which is the smallest value? (a) -5 (b) t (c) 4 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**5 + 56*m**4 - 62*m**3 - 116*m**2 = 0 for m.\nAnswer: -29, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6157 is divided by 154.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.18641689 rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -6. Let p be 3\/(-24) - 164*6\/(-192). Let r = 13 - 9. What is the nearest to 0.3 in p, r, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -215729, -215702, -215679, -215660?\n\"Answer: -2*q**2 + 33*q - 215760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/42*(-1)\/(-6)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-15 - (-23 - -12))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2235\/12287 - 1\/12287. Solve -d*i**3 + 0*i**2 + 0 + 2\/11*i**4 + 0*i = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3519391 is divided by 3519391.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**5\/(a\/a**(6\/11)*a)*a\/(a*a*a*a**(-2)\/a)*a**9 assuming a is positive.\nAnswer: a**(149\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -40*m - 25. Let q(l) = -5*l - 3. Let i be (24\/18)\/((-4)\/(-9)). Determine i*j(x) - 25*q(x).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -y + 9, y + 36 = -g + 30. Let x(h) = h**3 + 2*h**2 - 3*h - 3. Let o be x(-2). Put o, y, 4, -5 in increasing order.\nAnswer: -5, y, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 7*y + 4*l - 2, -2*y + 2 = l. Let n be -2 - (-3)\/2*y. What is the remainder when 12 is divided by (n + -2)\/(2\/(-14))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 9:31 AM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/6*52\/(-65).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144891 and 9.\nAnswer: 144891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40905 - -104118. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 34024897, 34024908, 34024919, 34024930?\n\"Answer: 11*c + 34024886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2679030 divided by -153\nAnswer: 17510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2622, 4751, 6916, 9117, 11354?\n\"Answer: 18*h**2 + 2075*h + 529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23332, -46655, -69976, -93295, -116612, -139927?\nAnswer: -163240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 93089559 in increasing order.\nAnswer: 1, 2, 93089559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 3*m + 20 = 0. Suppose -10 = -7*v + 2*v - 5*b, v = b - 2. Suppose -c + 3 + 2 = v. Solve -2*q - c*p = -14, m*q - 8 = q - 5*p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28*k**2 + 54*k**2 - 55*k**4 + 31*k**2 wrt k?\nAnswer: -1320*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -339*m**4 + 339*m**4 - 43*m**5 + (2 + 3*m - 2)*(-9*m**4 - 4*m**4 + m**4).\nAnswer: -79*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433165.\nAnswer: 5, 41, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -221458 at most as big as -221459?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 38076721 and -1548.\nAnswer: 38075173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) 5 (c) 29 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.484542 litres to millilitres.\nAnswer: 484.542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -1\/82 (c) -136 (d) 67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 508053?\nAnswer: 3, 7, 13, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)\/(t*t\/(t*t**(8\/9))))\/((t**(-1\/39)*t)\/t*t**1) assuming t is positive.\nAnswer: t**(-946\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7848949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5542 and 3582903.\nAnswer: 2771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - 4)*3\/(-12). Suppose 6*b = 9*b - 4*s - 509, p = 2*b - 3*s - 339. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 473493*u**5*w - 9*u**4 - u*w - 21*u + 15459*w - 2 wrt u?\nAnswer: 9469860*u**3*w - 108*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 - 9. Suppose -2*k - 38 = -4*l, 5*l + 2*k = k + i. Solve x - l = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24958 - -24962. Let l be 2\/(-8)*(-50)\/4. Which is bigger: l or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**2 + 16*n + 14. Let d be k(0). Suppose -4*q = -3*s - 2*q + d, s - 16 = -2*q. Solve -5*v + s = -12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n - 29. Let y be w(9). Let c be (y\/(2\/3))\/(3\/(-4)). Let b(q) = -q**2 - 13*q - 6. Let f be b(-12). Solve c = -5*r - f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 10 = 0, 3*s - 3 = -5*b + 13. Suppose -35 + 11 = -s*r. Suppose -2*n + r = n. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 0 + 0*b**2 - 1\/2*b**3 + 0*b**4 - b + 1\/20*b**5. Find the second derivative of o(j) wrt j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 31 + 9. Let k(a) = 2*a**2 + 11*a - 17. Let p be k(-13). Let s = p - 216. Is r at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*h = -4*w + 17, 85 = 5*w + 3*h. Suppose -3*q + 3*f + w = q, q + 12 = 4*f. Calculate the smallest common multiple of q and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28722 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5 (b) -6 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4 + 4*m**3.\nAnswer: -2*m**3*(m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 184.3401 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5 = 15. Let i = 10 + w. Suppose 2*t - 3*y - 3 = i, 4*t + 2*y = 6*y + 12. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 6:58 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-460)\/(-207))\/(-10*(-2)\/1530). Which is bigger: 17\/11 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -39, -115, -233, -399, -619, -899?\nAnswer: -1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -25*u + 73. Let w be h(-26). Let q = w + 244. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -17872259.2.\nAnswer: 71489036.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(4520\/(-1200) + 4)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 146920*l + 2259247 wrt l?\nAnswer: 146920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o**3 + 471*o**2 - 1845*o + 1377 = 0 for o.\nAnswer: 1, 3, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**3 + 1118960*a**2 + 3356906*a - 4475864 = 0.\nAnswer: -4, 1, 559483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -227749, -227739, -227715, -227671, -227601, -227499, -227359, -227175?\n\"Answer: s**3 + s**2 - 227751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-2))**(-2\/65)\/(s**(-6)\/(s\/s**3)) assuming s is positive.\nAnswer: s**(254\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mttmmmmtttmtt. Give prob of picking 4 m.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-12) + 20\/(-6). Suppose -2*z - 16 = 2*z. Which is greater: h or z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 11*z + 28. Let t be f(8). Solve 12 = -t*i + 8*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14833 + -14763. Calculate the remainder when 312 is divided by z.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*j + 0*j - 6*j)*(0 + 1 + 2) + (-1 - 3 + 3)*(-j - j + j).\nAnswer: -110*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 10:42 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -5\/12*n**4 - 1\/20*n**5 - 2\/3*n**3 + n - 5\/2*n**2 + 0. What is the units digit of j(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17.03 and -6.4.\nAnswer: 108.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 547668 and 163265916?\nAnswer: 1469393244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 636, 2541, 5702, 10107, 15744, 22601?\nAnswer: 30666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + -7 - (72 + -103).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -11415?\nAnswer: 11412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 79600.39 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -295 divided by 24199?\nAnswer: -295\/24199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.1 and -1577526.\nAnswer: -1577523.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 318 + -314. Let b(j) = j**2 - 30*j + 5. Let v be b(30). Solve -v = 3*r - z*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 7:35 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 a when two letters picked without replacement from aaaakaaaaaaaa?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -78 * -0.06\nAnswer: 4.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 510156 and 97236?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a. Let u(g) = -2*g**2 - 280495*g - 1. What is u(r(d))?\nAnswer: -2*d**2 - 280495*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12265272395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*m + 44*m + 9 + 48*m - 152*m + 15*m.\nAnswer: -4*m + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*p - 2*p = -91 - 599 - 597 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 1:31 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/7*(-1)\/(-6))\/((-9)\/(-351))?\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f**2 - 2*f + 1 + 6 - 2 - 1 - f**3. Let l be i(-4). Let w = l - 3. Does 8 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4968124?\nAnswer: 2, 7, 177433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 3:01 PM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from -5245.\nAnswer: -5244.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, -103, -124, -143, -154?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-5) + (-121773)\/(-5445). Let h = v - 36\/121. Calculate the common denominator of h and (2 + 0)\/((-10)\/(-48)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 987?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 + 26*i - 58. Let n be b(-15). Let g(l) = -104 - l - l**n + 105 - l + l. Let k(u) = 7*u**2 + 7*u - 5. What is 6*g(f) + k(f)?\nAnswer: f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 3*q - 7, -5*q = 2*r - 6 - 3. Solve s - t = -4 + 2, -r*t = -3*s - 9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 4:44 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 63, 61, 59, 57?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -5855.3?\nAnswer: 17565.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.25 and -292?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2489*u + 416 = 2501*u - 32*v, v = -13 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 10*g - 1680. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*p = -226*p + 459*p + 1435 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + (sqrt(1700) + 1)*5) + sqrt(68)\/sqrt(16) + (1*sqrt(187))\/sqrt(11) + 1*(-3 + sqrt(153)))**2.\nAnswer: 9603*sqrt(17) + 1443933\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b - 56 = -24*b. Let d(y) = -5*y**2 + 5*y - 7. Let n(o) = 11*o**2 - 11*o + 15. Let r(l) = -13*d(l) - 6*n(l). Determine r(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**3 - 4*n**2 + 0*n**2 - 1400 + 1473 as k + z*n**3 + b*n**2 + w*n and give k.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30786.\nAnswer: 2, 3, 7, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -1393*v**2. Let m(c) = -13*c**2. What is -995*m(j) + x(j)?\nAnswer: 11542*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -5, 5, 346 in increasing order.\nAnswer: -5, -3, -2, 5, 346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 10*x - 6. Let b be 3\/15 - 138\/15. Let z be r(b). Suppose -4*m = -z*m - 28. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2230302323 (base 4) to base 10.\nAnswer: 707771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o\/(o*(o\/o**(-1\/4)*o)\/o))\/o)**45*o**6\/(o\/(o*o\/((o*o\/o**0)\/o)*o)))**11)**(-16\/11) assuming o is positive.\nAnswer: o**1508","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 59.7.\nAnswer: 56.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.89613 - 0.13843. What is l rounded to two dps?\nAnswer: 0.76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 226340 divided by 1203.\nAnswer: 226340\/1203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 390.8 + -391. Let r = 2 + -2. Sort r, y, 0.4 in decreasing order.\nAnswer: 0.4, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -q + 2, -5*q = -32*b + 36*b - 26 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -79240, -158481, -237718, -316951, -396180, -475405?\n\"Answer: 2*i**2 - 79247*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 3:01 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118422 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 15*w**2 - 15*w - 5. Let n(i) = -16*i**2 + 22*i + 5. Calculate 2*n(h) + 3*p(h).\nAnswer: 13*h**2 - h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four fifteenths of a millennium?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.003 in -5, 0, -6328?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 5*y. Let x be 1\/(-2)*y\/(-16). Suppose x = 4*o - o - 45. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 10:20 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -0.2. Let f = -2 - -1. Let n be (18\/4)\/(6*2). Which is the nearest to f? (a) z (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2496)\/(-88) + ((-7)\/(-154))\/(2\/(-16)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = z + 2*t, 0 = -0*z + z - 3*t + 6. Suppose 14*w = z*w + 160. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**2 + 610*b - 1785 = 0.\nAnswer: 3, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 16) in base 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + 0 + 5 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**3 - l**2 + 3*l - 3. Let t be j(1). Solve 0 = t*k - 15 - 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, f: 1, i: 1, g: 2, v: 2}. Give prob of sequence wvvi.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -392*q**6*r**3 + 1667*q**3*r + 9*q**2*r**3 + 136*q**2*r**2 - 41*q*r**3 wrt q?\nAnswer: -47040*q**3*r**3 + 10002*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 + 0.16. Let j = -1.1 + v. Let k = 0.1 + 0. What is the nearest to k in -4, j, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 + (-23 + (-13 - -25) - -37)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89088\/60 + (-3)\/(45\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1340 - 2345 + 5235)*(0*r + 0*r - 4*r)*(-1 + 0 - 1) as h*r + w and give h.\nAnswer: 33840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*p - 4*k = 37*p - 8167, 0 = 2*p + 2*k - 3268. What are the prime factors of p?\nAnswer: 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -5*w, -5*w = -w - 12. Suppose 6*g - 7*g - 1184 = -h, -u*h = 3*g + 3564. Is g\/(-8) - (7 + (-186)\/24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12301432 and 968.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(-3 + 3 - 1)*(-3*o**3 - 75 - 5*o**3 + 77 + 3*o) + o**3 - 30*o**2 + 2*o**3 + 32*o**2.\nAnswer: 11*o**3 + 2*o**2 - 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 - 23*y + 56*y - 32*y + 2 + (-2*y**2 + y**2 - y**2)*(2 + 2 - 1).\nAnswer: -5*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9977 is divided by 3143.\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 - (-7 - (-75 + 69)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -1) + 29 + (-91 - -29)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 181835*p - 181831*p - 7*a, 3*a - 3 = -3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6790793 is divided by 3409.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229 = 7*p - 3*u, 11*u - u - 7*u + 161 = 5*p for p.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y + 0*y + 63812*y**2 - 64106*y**2 in the form l*y + p + r*y**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s**2 - s - 1. Let i be d(-1). Let g be (2 - -1)\/((-1)\/(-6)*6). Let q(w) = -2 + 11*w**2 - 3*w**2 - 3 + 2 + g*w - w**3 - 10*w. Give q(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14253 - -18610. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30829 + 30822. Let z(t) = -3*t**2 - 7*t - 3. Let j(a) = 13*a**2 + 28*a + 12. Let d(b) = 2*j(b) + 9*z(b). Give d(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 y when four letters picked without replacement from kkkkkkkkykkkkkyykk.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3635\/37314 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 66 - 5*d - 4 - 28.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003127602 to seven dps.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6004 and 9750116.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*f**3 + 153*f**3 - 74*f**3.\nAnswer: 9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**2 - 8*g**2 - 10*g**2 to the form w + d*g + s*g**2 and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 2464*m - 2459*m + 7389*m - 2462*m.\nAnswer: 4*m - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -6*x**2 + 36*x - 23. Suppose 13 = -20*q + 113. Let o(m) = 5*m**2 - 31*m + 22. Let z(g) = q*o(g) + 4*k(g). Let z(r) = 0. What is r?\nAnswer: 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p - 33*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 585, 1172, 1759, 2346, 2933?\nAnswer: 3520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 143635519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-13 - -7) + -11?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 8*f**2 - 3*f - 3. Let m(o) = -2*o - 7. Let l be m(-5). Let v be b(l). Suppose 5*w - v = 5*k, k - 2 = -w - 0*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 995 and -0.3.\nAnswer: -298.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 374773619063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9550)\/1125)\/((-4)\/9) - 2\/20.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in ninety-five halves of a milligram?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 925.4614 days?\nAnswer: 22211.0736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1725, 6862, 15413, 27372, 42733?\n\"Answer: -p**3 + 1713*p**2 + 5*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 11432503 (base 6) to base 9\nAnswer: 611753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/2 + (-8 - -7). Let p(a) = 11*a**2 - 20*a**2 - a + 10*a**o + 1. Is p(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**5 - 54*h**4 - 3153*h**3 - 13896*h**2 + 71280*h = 0.\nAnswer: -20, -9, 0, 3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4504*m**3 + 7631 wrt m?\nAnswer: 13512*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23850 = 44*f + 9198. What is the greatest common divisor of f and 1517?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w - 20. Give x(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 9*q**2 + 9*q + 1. Let v(a) = -2*a - 22. Let h be v(-7). Let z be p(h). Find the common denominator of -5\/12 and z\/((-175)\/15) - (-136)\/90.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -u**7\/4620 + u**6\/198 - 29*u**3\/2 + 23*u**2. Let t(g) be the first derivative of i(g). Factor t(w).\nAnswer: -2*w**2*(w - 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 5*k = -2*s - 5, -4*s + 11 = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**12\/y**(-17) assuming y is positive.\nAnswer: y**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(2754) - 1*sqrt(2754))*1)\/(-2*sqrt(128)*-5 - sqrt(128)))*-3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -4646881?\nAnswer: -4646878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (6 + -2 - 2). Suppose i = -5*d + 77 + 13. Let h = 5889 - 5838. Calculate the remainder when h is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1080, -1068, -1056, -1044?\nAnswer: -1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*p - 14*p - 3*p)*(2 - 6 + 3)*(-1 - 4 + 4)*(5*p + p - 2*p).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/18 and 137\/68724.\nAnswer: 68724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, t: 2, s: 4, j: 1, p: 1, l: 2}. Give prob of sequence tl.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + h**2 - 9*h - 1. Let b(k) = -9*k**3 + 48*k**2 + 230*k - 810. Let a(t) = -b(t) + 10*j(t). Factor a(g).\nAnswer: -(g - 2)*(g + 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(2\/12))\/1. What is the common denominator of ((-3315)\/(-26))\/(-1 - 11) and (-339)\/(-9)*r\/(-20)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 3 (b) -3\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17520 and 1648632?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6083*i*z + 8*i - z - 17790 wrt i.\nAnswer: 6083*z + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209415860?\nAnswer: 2, 5, 17, 151, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2668.1 - 2668. Which is the closest to x? (a) -4 (b) 39\/4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-5)\/(-21)) + (-15)\/35\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 17782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -13451, -51645, -115301, -204419, -318999?\n\"Answer: -12731*f**2 - f - 719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 99058 to the power of 1\/2, to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.6 and -71.\nAnswer: 1036.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284*h**5 + 57050*h**4 + 444756*h**3 + 1267846*h**2 + 1537192*h + 657336 = 0. Calculate h.\nAnswer: -27389\/142, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = -0*p + 14. Solve -p*l + 13 = -y + 2*y, 30 = 2*y + 5*l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3*b**3 + b**2 - b + 5. Let t(a) = -a**3 - 1. Determine -2*i(j) - 4*t(j).\nAnswer: -2*j**3 - 2*j**2 + 2*j - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 2\/3, -1, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -89 in -0.07, 2\/13, -3\/2, 2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 156\/(-2 - 1) + 6\/2. Let y = 55 + n. Suppose t = y*t - 1900000. What is t rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**2\/7 + 686*y + 9596\/7 = 0.\nAnswer: -2399, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 6. Let f be x(7). Sort -3, 1, f in increasing order.\nAnswer: -3, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 528632234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, -1534, 743 in decreasing order.\nAnswer: 743, 5, 2, -1534","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 - -46.55. Let v = t - -0.05. Let f = v + 1.428. What is f rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4198979 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.139 - -93.561. Let i = -88 + p. Let j = 0.7 - i. Which is the third biggest value? (a) 3 (b) 0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ypyp when four letters picked without replacement from {p: 5, y: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 4:29 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**2\/17 - 2320*p\/17 + 672800\/17 = 0.\nAnswer: 580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 112 and 2030.\nAnswer: 227360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28064a4 (base 11) to base 6.\nAnswer: -251423534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85382797.0000118 - -85382776. Let x = 21 + b. What is x rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1920 - -7731\/4. Calculate the common denominator of ((-1)\/(-28))\/(-5 + (-830)\/(-160)) and v.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10 + 21\/(-15). Let f(h) = h**3 - h**2 + h - 3. Let y be f(3). List the prime factors of 5*v\/((-5)\/y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1830202 and 470210?\nAnswer: 7234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -5*x - 93, -86 = -a - 6*x + 15 - 205 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**2*s - 4*k**2 + 478*k - 3*s - 1243 with respect to k.\nAnswer: 2*k*s - 8*k + 478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 452345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -227*q + 14. Calculate k(0).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2)*i)**30\/(i**(1\/3)*i**3\/i))**(-2\/23) assuming i is positive.\nAnswer: i**(14\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 161 + -160. Sort -3, -2, b, -134 in increasing order.\nAnswer: -134, -3, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 5*t - 70, o = -2*o - 4*t + 128. Suppose -3*k + 4*d = 3*d - 41, 4*k = 5*d + o. Calculate the lowest common multiple of k and 33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3 = -5*n. Let l = 2 + -2. Which is smaller: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.036 + -0.239. Let v = j - -1.503. Let c = -0.02 + 1.02. What is the smallest value in v, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a36d0 - -1?\nAnswer: 1a36d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -96, -180, -264?\n\"Answer: -84*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -336*t**2 + 48052*t - 4002.\nAnswer: -2*(12*t - 1)*(14*t - 2001)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, j: 7}. Give prob of picking 1 j and 2 y.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 9*o - 8*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1652 divided by 413\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23\/2079 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -584.0851.\nAnswer: 175.22553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*k + 45, -z - 3*z = 5*k - 5. Solve 2*w = -l - 1 + 5, 5*w - 25 = k*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 6) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/9, 193\/356, 9 in decreasing order.\nAnswer: 9, 3, 193\/356, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 4*s + 212 = -0*v, 5*v - 5*s - 225 = 0. What is the remainder when v is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*m - 3342 = 5010 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -p*t**3 - 235*p*t**2 + 1106*p - 192*t**3 + 229*t**2 + t - 3 wrt p.\nAnswer: -t**3 - 235*t**2 + 1106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/(j\/(j\/(j\/j**(1\/2))))*j*j**(4\/9)\/j)\/(j**6*j*j*j**(-7)) assuming j is positive.\nAnswer: j**(35\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34821\/55 - -3021\/5. Is g > -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.86922 millilitres to litres.\nAnswer: 0.09686922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 971721?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 4, 0.05, -3\/2, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0066233 rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 14*k**2 + 24*k + 17. Let l be y(-12). Let n = 15 - l. What is the common denominator of -44\/45 and n + 1 - (-1416)\/(-216)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160) - -5*(sqrt(2160) - (sqrt(2160) + (sqrt(2160) + sqrt(2160)*2 - sqrt(2160)))))\/(2*sqrt(1200) - sqrt(108)*-2).\nAnswer: -27*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4940\/1023 + 92\/93. Let n = h - 6. Which is smaller: n or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 8961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of l**3 + l**2 + 4*l - 1. Is r(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -361314 divided by 6\nAnswer: -60219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 7137, -5, 2\/67, 0.\nAnswer: -5, 0, 2\/67, 11, 7137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -v. Suppose 3*j - 7 - 2 = v. Suppose 2*z = j*z - 15. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 2\/964863?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.8 + 0.8. Let u = i + 5. Let l = -0.303 + 4.303. Put u, 0.4, l in decreasing order.\nAnswer: l, u, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1194 divide 23732302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6942.7466 - -6949.7. Let n = 0.5564 - i. Round n to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 <= 17\/245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**3 + q**3 - 120*q + 4*q**3 - 285*q.\nAnswer: q**3 - 405*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9724?\nAnswer: 2, 11, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 - -33221220130?\nAnswer: 33221220012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 67*d**8\/336 - d**7\/210 - d**5\/60 + 16*d**3 + 2*d**2 - 26. Find the third derivative of g(i) wrt i.\nAnswer: 4020*i**2 - 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 387992988 and 86220664?\nAnswer: 775985976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 152*p - 147*p + 20 = 0, i + 10 = -5*p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 2:43 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -38415.8 * -85\nAnswer: 3265343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-7)*-3*(0 - -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -600 > -601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.00713 and 135.215835.\nAnswer: 135.222965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 9:52 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -99, -110, -121?\n\"Answer: -11*h - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 454274340 by 1781468.\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*k - 4*n, 3*n = -5*k + 17. Let c be 4\/(-6) - 3\/9. Is c*((-276)\/4)\/k a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 39*y**2 - 8*y + 27. Let u(a) = 39*a - 4. Let p(r) = -6*t(r) + 13*u(r). Differentiate p(k) with respect to k.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -22*o**2 + 4*o - 4. Let v(m) = -196*m**2 + 35*m - 35. Let z(x) = -35*r(x) + 4*v(x). Let p(d) = -6*d. Determine z(p(k)).\nAnswer: -504*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3 + 9*p + 2.\nAnswer: 9*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -34582673 divided by -4\nAnswer: 34582673\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2. Let f be 1*(-2)\/6*-6. Let l(y) = -9*y + f*y + 0*y. What is u(l(s))?\nAnswer: 49*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 3:42 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -638.252953 or 1?\nAnswer: -638.252953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.73 take away -67649?\nAnswer: 67648.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6}. What is prob of sequence ee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((4*(sqrt(5)*2 + sqrt(5) + 4))**2*-4 + (sqrt(320)*-3 - (sqrt(5) - -5*(3 + sqrt(5) - sqrt(5))))**2)*2.\nAnswer: -1572*sqrt(5) - 1110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, w: 2, u: 1, g: 7}. What is prob of picking 1 w and 1 u?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 4461.\nAnswer: 2230.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, b: 1, o: 1, w: 3, t: 5, p: 5}. Give prob of picking 2 p.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1 - (9 - (7 - 3))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 366741, 733481, 1100221, 1466961, 1833701?\nAnswer: 2200441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 282*z. Let o(b) = -12836*b**2 + b + 2. Give o(u(m)).\nAnswer: -1020770064*m**2 + 282*m + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + u = 13*u - 58. Let n = 2 + 18. Let h be ((-26)\/(-65))\/(u\/n) - 32. Are -28 and h equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(228)\/(5*sqrt(108)).\nAnswer: sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 5*v**2 - 3*v)*((2*v - 2*v + 2*v)*(-2*v - 2*v + 6*v) + 12 - 12 + 11*v**2).\nAnswer: -75*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = z - 4*z + 2, -5*z = -h - 9. Suppose 12 = -3*k + 5*y + 2, -y = -z. Solve k = -5*t + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 187143 by 62381.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5712*u**2 + 2563*u - 15778*u + 61*u**4 - 20*u**4 - 20*u**4 - 23*u**4 wrt u.\nAnswer: -24*u**2 + 11424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5742839251?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 318, 2, -2 in increasing order.\nAnswer: -2, 2, 6, 318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22942 + -1743. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 8*s**2 - 6*s + 1. Let c be l(-7). Let z = 0 - c. Let d(r) = -r**3 - 10*r**2 + 9*r - 13. Calculate the remainder when d(-11) is divided by z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*k + 8 = 20*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 + 11001*b**3 + 11005*b**3 - 22046*b**3 + 18.\nAnswer: -40*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -13. Which is the third biggest value? (a) h (b) -2 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.2, -77\/4, -3\/2, 10, 3\/2 in increasing order.\nAnswer: -77\/4, -3\/2, -0.2, 0, 3\/2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6120882424 and 51.54.\nAnswer: -6120882372.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d. Let q(t) = 2*t**2 - 17*t + 8. Let k be q(8). Let g(j) be the second derivative of 0*j**2 + k + 4*j + 0*j**3 + 1\/6*j**4. Determine r(g(z)).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3221415.\nAnswer: 3, 5, 17, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from {y: 4, i: 4, o: 12}.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1130300131 (base 4) to base 2.\nAnswer: 1011100110000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1280265 and 90.\nAnswer: 7681590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 3. Let k(u) = 7*u**2 + u + 1. Let z be k(1). Let o be 41\/2 + 7\/(-14). Solve -5*d = -5*l + 10, z*l = x*l + o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 12 = -4*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 768*r**2 + 505440*r + 83160675 = 0.\nAnswer: -5265\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 126634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 2 - 1 + 2*k - 2.\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + x - 4 = -5, -2*x + 1 = 5*q. Sort q, 0, -2, 21 in descending order.\nAnswer: 21, q, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(35\/((-35)\/(-5))))\/((-1)\/(-20)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014438 to six decimal places.\nAnswer: -0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 35*k**2 + 42*k + 418. What is the hundreds digit of s(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 38079 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -22*c**3 - 11*c**2 - 12*c + 31. What is p(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13372552.\nAnswer: 2, 577, 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-42) - 172\/(-42).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(-143)\/(-104) - (-3)\/(-4). Let n(d) = -17*d**2 + 13*d - 9. Let a(m) = 4*m**2 - 3*m + 2. Calculate t*a(y) - 2*n(y).\nAnswer: -2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 46 = -14*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -43, -84, -135, -202, -291, -408?\n\"Answer: -m**3 + m**2 - 37*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 2. Suppose -2*g - 3*g + 10 = 0. Which is the closest to -0.2? (a) g (b) -1\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (84*(-17)\/(-255))\/((-6)\/(-45)*3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*q = q. Let s(l) = 3*l + 142. List the prime factors of s(q).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 + 48112292*z + 289349080186658.\nAnswer: 2*(z + 12028073)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*d - 21 + 21 as k + j*d and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 + 30 - 539*c**2 - 62.\nAnswer: -539*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.14552 - 2.14552. Let t = 92\/175 + -6\/25. Let l be (-150)\/146 + (3 - 2). What is the fourth smallest value in t, l, i, 2\/19?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/7 (b) -1\/6 (c) 6212\/11 (d) -2\/19 (e) -2\/13 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.086035821 to 3 dps.\nAnswer: 0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**2 + 680*t + 1376 = 0.\nAnswer: -2, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five quarters of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(72) + sqrt(72)*-1 + 2)*-6*-4)**2.\nAnswer: 2401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + (-135 - -141)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 11709770 + 5*f - 11709770. Let v(p) = 30*p - 10. Give v(g(b)).\nAnswer: 150*b - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 + 115331550?\nAnswer: 115331521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 973*z**4 - 88*z - 3 wrt z?\nAnswer: 11676*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 67*u + 314. Calculate v(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3 (b) -4 (c) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 21 = h, 5*d - 9 = -17*h + 21*h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 1480a?\nAnswer: -14812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n**3 + 990*n + 993*n - 1973*n + 2 as f*n + a + j*n**3 + k*n**2 and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/12*(6\/(-120))\/((-46)\/(-345)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*-5)**2 - sqrt(20)\/sqrt(10)*-5 - (5*2*-1*sqrt(2)*-2)**2.\nAnswer: 5*sqrt(2) + 1650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48770965?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-24))\/(102\/(-18496)) - 2\/(-18)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156445 - 145159 = -114*b for b.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 11:29 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3648)\/(-513)*21\/(-42).\nAnswer: -32\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 251*2\/(-8)*-4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560\/(-224)*(-56)\/20?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12, -4, 17, -2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10304 by -112.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3 + 408*r**2 + 1148*r - 3960.\nAnswer: 4*(r - 2)*(r + 5)*(r + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -76, -48, 36, 206, 492, 924, 1532, 2346?\n\"Answer: 5*j**3 - 2*j**2 - j - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 7*p**3 + 6*p**2 - 17. Let u(c) = c**3 + c**2 - 3. Give 6*i(o) - 34*u(o).\nAnswer: 8*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*l - 65*l + 125*l.\nAnswer: 100*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-11 - -6) - (1 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 450.962978 rounded to the nearest 10?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16527*m**4 - 1861*m**2 - 63927100.\nAnswer: -66108*m**3 - 3722*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 69*q + 694. Let u be r(-10). Let h(w) = w**3 - w**2 - 5*w - 8. What is h(u)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f - 2. Suppose -7*g + 16 + 19 = 0. Suppose 0*a - 15 = g*a. What is n(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + 0 + sqrt(13)) + sqrt(1053)*-1 + -5 + sqrt(13)*1.\nAnswer: -14*sqrt(13) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 v when two letters picked without replacement from {v: 2, k: 1, t: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-80)\/165 + 8\/12. What is the biggest value in y, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of y**3 - 10*y - 12. What is the derivative of d(k) wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 682\/3 - 228. What is the nearest to 1 in 4, 1\/11, h, 3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13279061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**3 + 3*b**3 + 2*b**3)*(4*b + 5*b + 5*b)*(175 - 85 - 88).\nAnswer: 28*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 547872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 5*c + 123 = 0, -73 = -3*a + c + 68. Is a a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x. Suppose 0*y - 4*y = -32. Let j = y - 11. Give k(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3266 + 3266 - 2628*p**2)*(3 - 3*p**2 - 3).\nAnswer: 7884*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/6)\/(2\/(-44)). Let r = l - -13. Suppose -5*b = -r*w + 43, -3*w + 4*b = 2*b - 37. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j\/(j\/j**(1\/3)))\/j))\/j**(1\/5))**(-1\/45) assuming j is positive.\nAnswer: j**(-7\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*g = 57*g - 43*g - 440 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/10 and 32\/183?\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 - 10846.\nAnswer: -10853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t - 6*t - t)*(2*t + 3*t - 6*t)*(4*t - 3 - 3 + 5).\nAnswer: 48*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)*3*-1)\/sqrt(3))\/(-5*(sqrt(147) + (sqrt(147)*2 - sqrt(147)))).\nAnswer: 3*sqrt(7)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.0352, -2\/151, -3, -2.6?\nAnswer: -0.0352","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 275 = 275. Let y = 275 - t. Solve -n - 2 = -y*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 43?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h**4\/4 - h**3 + 5*h**2\/2 + 5*h + 12. Let p be l(-5). Find the common denominator of -133\/6 and (p\/(-7))\/((-224)\/245).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 926882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 16*k**2 + 21*k - 13. Let m be (4\/6)\/((-4)\/(-90)). Is 36 a factor of c(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 14\/21*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -0*b + 35. Let v(w) = -2*w + 2. Let s be v(b). Solve q + s = 4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bc (base 13) to base 16.\nAnswer: -9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-3)\/24)\/(1\/47) and 13\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - -6. Let l = -26 + p. Let s = l - -69. What is the highest common factor of s and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/14223 and -3\/22.\nAnswer: 28446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 53 (b) -0.22 (c) -0.5 (d) 0.04 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2 + sqrt(1584) - ((sqrt(1584) - (2 + sqrt(1584))) + 1))*-2.\nAnswer: -24*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -59? (a) 0.1 (b) 4 (c) -1 (d) 1\/5 (e) -0.34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1385*r**3 + 3*r**2 + 3*r. What is the units digit of b(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 16*v**2 - 20*v - 143. What are the prime factors of d(-13)?\nAnswer: 7, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of 0 + 5\/6*q**4 + 11\/40*q**5 + 1\/420*q**7 + 22*q**2 + 4\/3*q**3 + 0*q + 1\/24*q**6. Factor p(g).\nAnswer: (g + 1)**2*(g + 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 101110000000?\nAnswer: -101101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*v - 14*v - 72*v - 28*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of ((-395)\/(-10))\/(2\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 375 divided by 7.\nAnswer: 375\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -1316*v + 3954. Let x be p(3). Suppose 3*i = 5*y - 39, -i = 4*y - 8 - 30. Which is greater: x or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 - 2 - (-14 + 11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*d**4 - 1464*d**3 - 10317*d**2 - 5088*d + 3780 = 0. Calculate d.\nAnswer: -90, -7, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b + 9. Let z be y(-5). Suppose -62*j = -70*j. Let l be 4 + (-3 - -2) + 2 + j. Solve 2*h = -l*u + z*u + 2, -2*u = -3*h + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 282.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffpuufpfpp. What is prob of sequence ufpp?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-5\/2)*i**5*i)\/(i**0\/i)**30 assuming i is positive.\nAnswer: i**(67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -13*r**2 + 2*r + 1. Suppose k = -0*k - 1. Let f be d(k). Let u be 2\/(-4) - f\/4. Solve 5*i + 20 = 3*n - 7, 4*n = u*i + 25 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 38*(-55)\/(-60)*2*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2 - 4 + 31*q in the form k + s*q and give s.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 14*c**2 - c - 1. Let v(w) = w**3 - 3*w**2 + 2*w + 1. Let h be v(3). Let p(r) = h*r - 16*r + 9 + 1 + 10*r. Let m be p(-11). Determine g(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + 141 + -117 + -58 + -1?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -680, 5 in ascending order.\nAnswer: -680, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 426235 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**5\/60 - v**4\/24 + 5*v**3\/6 + 10*v**2. Determine q(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 19649\/2 and 9824 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 7 (c) 27 (d) -4 (e) 1.32 (f) -29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -20. Suppose -60 = 6*i - 11*i. What is the greatest common factor of i and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**3\/3 - 3120*a**2 - 1372700*a + 1677025000\/3 = 0.\nAnswer: -1295, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 4:51 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 8 = 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 11. Solve g*r - 15 = 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -5*v + 879, -573 = -5*g + 2*v + 1697. List the prime factors of g.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 15 = -2*q, -5*q - 4*g + 10 + 10 = 0. Suppose -8*o + 1287 + 1881 = q. Does 12 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = -4*m + 70933 - 16354, -m + 4*f + 13662 = 0. What is the ten thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 - p - 11. Let h be s(-3). Is h\/39*(1 + -16) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 9082560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/11)\/z)\/z)**(-2\/9) assuming z is positive.\nAnswer: z**(14\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccchcccchh. What is prob of sequence ch?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (219\/9)\/((-9)\/(-27)). Suppose -n = 12*g - 3913. Does 4 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 8*d + 21. Let j be z(-5). Solve 0 = y - 11 + j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 4*l - 118 = 0, -w - 102*l = -99*l - 36. Calculate the remainder when 7*(-2)\/(-1)*6 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1080)*2)\/sqrt(6).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 8 + 0*i + 0*i**4 - 19\/5*i**5 - 6*i**2 + 0*i**3. What is the second derivative of a(y) wrt y?\nAnswer: -228*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 - 1 + 6*r**3 + 0*r**3 - 3*r**3 - r**3 to l*r**3 + j + n*r + w*r**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4037*j - 88931. Calculate m(22).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v + 6*v - 5*v - 2*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 66\/88*12113058\/9 - (-3)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 3*m + 3*y - 8, 3*m = 5*y + 1. Suppose n + o - 25 = 2*o, -m*o + 13 = n. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 19, 13, 5, -5, -17?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11035*j - 10679*j = -1068 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 3899 = -4*o + 7*o + 3892, -1 = v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 8:43 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -4*a + 18, -1347*a - 8*n - 47 = -1348*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4)\/t)\/(t*t**(1\/3)*t)*t**3*t**(-2\/7)*((t\/((t**(-3\/2)\/t)\/t))\/t*t*t*t**(-2\/11))\/((t*t*t**(3\/2))\/((t*t\/t**(7\/4))\/t)) assuming t is positive.\nAnswer: t**(-3281\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 101743\/91104 + -945\/949. What is the common denominator of 17\/4 and m?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 317*k. Let y(u) = 3*u + 2. Calculate p(y(i)).\nAnswer: 951*i + 634","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.13 and 549.99.\nAnswer: -71.4987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190113256693 + 101*a**3 + 190113256693.\nAnswer: 101*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7128, -7132, -7138, -7146?\n\"Answer: -j**2 - j - 7126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 33050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 457, 4, 2 in descending order.\nAnswer: 457, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**2 + 8*r. Let v(m) = 21*m**2 - 2*m - 22. Let c(p) = -2185*p**2 + 209*p + 2299. Let l(u) = -2*c(u) - 209*v(u). Determine g(l(d)).\nAnswer: -1083*d**4 - 152*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5673*t - 4625*t - 3533*t + 0 + 1756*t)*(0*t - 7*t - 5*t) as g*t**2 + z + a*t and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 1422?\nAnswer: 1\/1422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + 110110011101?\nAnswer: 110110010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pdyi when four letters picked without replacement from yppdyip.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 37*q + 33 = 41*q, 12 = -7*x - q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 30 in -13, -2, 0, -13\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r**3 + 100*r**2 - 60*r + 16. Let u(y) = y**3 - 18*y**2 + 12*y - 3. Calculate 2*n(x) + 11*u(x).\nAnswer: -3*x**3 + 2*x**2 + 12*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 635794617.\nAnswer: 3, 211931539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w = 16*w - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 526 + -272. Suppose -2*b + 270 + l = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - 5. Let o be u(4). Let k be (-1)\/1 - (-105)\/95. Which is the closest to -0.1? (a) 0.1 (b) o (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 - -12.59420388.\nAnswer: 12.69420388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/5 and -285 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 35\/10 + (-2)\/4. Let r be ((-5)\/(-20))\/((1 - 6)\/(-5)). Let l = 0.13 + -10.13. What is the closest to h in 1\/5, r, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 9 - (5 - (1 - -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (12\/3)\/4. Let b(d) be the third derivative of 1\/168*d**7 + 1\/24*d**4 + 3*d**2 + 0*d**p + 0*d + 0 - 7\/480*d**6 - 1\/30*d**5. Solve b(i) = 0 for i.\nAnswer: -1, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 170 = -11*m. Let t be 3 - (-6)\/(-4)*-20. Let s = t + m. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 6*o = 0. Suppose o = z - 2 - 10. Suppose -2*r - 9 = -u + 9, 2*u + 2*r - z = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, -8\/27, -0.9, -4?\nAnswer: -8\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -6 (c) 146 (d) 5\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(832) + (-4 + sqrt(832))*6 - (-1 + (sqrt(832) + -4 - sqrt(832)))) + -4)*-1)**2.\nAnswer: -2576*sqrt(13) + 41297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*v = 2, 0 = -4*w + 4*v - 3 + 19. Suppose w*m = -m + 54. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + n = -6, -4*n - 5 = h - 12*n + 9*n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 - 12044604*a - 18134060689602.\nAnswer: -2*(a + 3011151)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) -0.48 (b) -1.1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g = 42 + 822. Suppose -94*f + 2 = -g*f. Let x(c) = -14*c - 4. Is x(f) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -384 and -43.21.\nAnswer: 16592.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 17523, -4, -0.4, -0.5 in descending order.\nAnswer: 17523, -0.4, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 390855061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -14*q**2 - 402*q + 803*q - 396*q - 5. Let z(y) = 13*y**2 - 4*y + 4. What is 5*s(g) + 6*z(g)?\nAnswer: 8*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 123710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-8) - 48\/((-686784)\/39739).\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3*(-252)\/(-168)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 5\/3, -0.372, -28, 0.4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 44*a**2 - 130*a + 34. What are the prime factors of p(17)?\nAnswer: 2, 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6560 and 6560?\nAnswer: 6560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 7*v - 62 = 0, -j + 83*v - 86*v + 28 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13895231.4us to days.\nAnswer: 0.0001608244375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/1462 + (-124780)\/(-1720) - (1 + (-6)\/4).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00049462 to 5 dps.\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 86 and 20998.\nAnswer: 902914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}