diff --git "a/data/dm_maths/full_data/1364_11255.jsonl" "b/data/dm_maths/full_data/1364_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1364_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify (3*(5 + sqrt(162) + 2))**2 + 3.\nAnswer: 1134*sqrt(2) + 1902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000065022128 to 6 dps.\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 1 = -2*v. Suppose -5*p + 397 + 8 = 0. What is the units digit of (2\/(-3))\/(v\/p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 52 = -3*x. Calculate the remainder when 2 is divided by (x + 2 + -7)*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34112878?\nAnswer: 2, 17056439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2169359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17210?\nAnswer: 2, 5, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1440) - sqrt(1440)*-1 - (sqrt(40) + sqrt(2560)*1))\/(-5*1*sqrt(288)).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -661*x - 12691 - 3773 = -997*x for x.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 + q**2 + 3*q**2)*(q + 3*q - 2*q) - q**3 - q**3 + 0*q**3 + (0*q**3 + 2*q**3 + 0*q**3)*(-4 + 4 - 3) + 21*q**3 + 5*q**3 - 5*q**3.\nAnswer: 17*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42574 + 83682. Is 43 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -190231.41 rounded to the nearest 100?\nAnswer: -190200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5548*k*n - 2*k - 44*n + 4819 with respect to k.\nAnswer: 5548*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 154.4037 and -3?\nAnswer: -463.2111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1734 divide 176640901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 393 + -380. Calculate the greatest common factor of n and 338.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -619 (base 14) to base 13\nAnswer: -713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (6 - -5) - -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 16\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**26*u*u**(-8)\/u*u**(7\/2)*(u**(2\/15)*u*u*u*u)\/u assuming u is positive.\nAnswer: u**(739\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 7:55 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 4*t - 115 = -20, 4*k - 40 = 4*t. Let u(v) = v**3 - v**2 - 7*v - 3. Let p be u(6). What is the greatest common factor of p and k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104351656 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183, 185, 197, 225, 275?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57915 is divided by 6893.\nAnswer: 2771","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r**2 - 14*r + 1. Let u(d) = -24 + 2*d**2 + 72 - 24 + 15*d - 25. Let n(s) = -6*u(s) - 7*z(s). Is n(-5) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8417576 is divided by 16869?\nAnswer: 16814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 255*n + 321*n - 9792 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/132)\/((-2)\/(-4)). Let a = 16 - 12. Let g = 3 + a. What is the third biggest value in c, 0.5, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = p - 4*p, -2*y + 25 = -5*p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -133606, -133594, -133580, -133570, -133570, -133586, -133624, -133690?\n\"Answer: -d**3 + 7*d**2 - 2*d - 133610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*l + 5*q - 42, 2*q = -l + 21. What are the prime factors of 50\/6 + (-7)\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*d - 5*d = -25738, 3*d = 15. Let b = l - 128567\/20. What is the common denominator of b and 25\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 371 + 106. Let s = m + -280. Does 10 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-319)\/29 + (2 - -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 176491 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/32 - (2 - (-13485)\/(-7888))?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 166 by 1.\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**3 + 10*s**2 + 54*s + 19. Let l be h(-3). Let p(f) = -f**3 - 3*f**2 + 6*f + 3. Let w be p(-5). Calculate the highest common factor of l and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50014 = -15*j + 24866. List the prime factors of j.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1445 = 30*l + 580 + 565 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*o - 47*o = 124. Let n = o - 132. Let m = n + 104. Solve 0 = g + 5, -2*k - m*k - 20 = 2*g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8338 at most as big as -8324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 105981288 divided by -6?\nAnswer: -17663548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1. Let r(w) = -w. Let c(f) = 2*f**3 + f**2 + f - 1. Let d be c(1). Give d*r(j) - s(j).\nAnswer: -3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (700\/(-105))\/(2\/(-6)*-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 35, -38, -113.\nAnswer: -113, -38, -4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 - 11*w**2 - 31*w**2)*(42 + 40 - w - 62*w**3 - 83).\nAnswer: 2356*w**5 + 38*w**3 + 38*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -72144?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1590 is divided by 200?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -733*j**3 - 8*j**2 + 10*j - 1. Let a be o(1). Let v = 1231 + a. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44 + -41. Let i(k) be the second derivative of -5\/6*k**o + 0 - 1\/3*k**4 + 2*k - 1\/20*k**5 - k**2. Find z such that i(z) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2252 - -2270. Let g = -3 - -13. Let b(h) = 2*h - 2. Calculate the lowest common multiple of b(g) and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 39241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -176693, -354515, -532337, -710159, -887981, -1065803?\n\"Answer: -177822*k + 1129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1936\/704*96\/11.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 5. Let b = -10 - -7. Sort w, -1, b in descending order.\nAnswer: w, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 10:55 PM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(36\/11)\/(a**(-3)*a**10) assuming a is positive.\nAnswer: a**(-41\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18639691711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v**3 + 2856325*v**2 - 9521210*v + 7617000 = 0 for v.\nAnswer: -190425, 4\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*d**2 + 13 - 9*d**2 - 2*d**2 wrt d?\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*y - 5*q - 5, -55*y + 26 = -116*y + 63*y - 5*q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 447 and 20031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**1\/s*s))**1\/(s\/s**(-4\/7)*s*s*s\/s**(1\/2)))\/((s**(-3\/5))**(3\/7))**(-28\/3) assuming s is positive.\nAnswer: s**(-523\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*o + 3*t - 15 = -27*o, -3*o - 2*t + 10 = 0. What is the nearest to o in 0, -1\/2, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3 and -0.1650269025.\nAnswer: -3.1650269025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((98\/(-35))\/7)*342\/171?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 5. Let d = 0.1 - 0.3. Is c not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**3 - 3 + 5*t**2 - 3*t**2 + 22*t - 20*t to the form c*t**2 + i*t + r*t**3 + n and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 161547120 and 144600.\nAnswer: 807735600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -3 - -8 - (-4 - -3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -8. Let k be 2 + (m\/2)\/((-5)\/(-20)). Sort k, -4, 12 in decreasing order.\nAnswer: 12, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3, -4, 12, 5 in decreasing order.\nAnswer: 12, 5, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 405 + -400?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55555819 divided by -121.\nAnswer: 459139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -495, -2155, -4925, -8805, -13795, -19895?\n\"Answer: -555*g**2 + 5*g + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 2:02 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 80116 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h - 8. Let v(q) = 2*q. Let a(s) = 3*v(s) - w(s). What is a(-9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -2*l**3\/3 + 7*l**2 + l + 133. Calculate u(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -39848 times -8?\nAnswer: 318784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 3*k**2 - 6*k**2)*(-166*k**2 + 81*k**2 + 87*k**2 - 632).\nAnswer: -4*k**4 + 1264*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89951.\nAnswer: 293, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 10 - 0. Put 2, 8, g, 0 in ascending order.\nAnswer: 0, 2, g, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1110824518.\nAnswer: 2, 61, 9105119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*l - 1. Let y be (-48)\/(-10) + l\/15. List the prime factors of 2 + 4\/(-2) + y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 960 + -204. What is the common denominator of -21\/2 and (-17)\/(2958\/t) + 4?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugsgeeesu. Give prob of sequence ue.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 18205995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (13\/(-2) - 1)*4\/3. Let j be 4*((-4)\/(-6) + d\/(-30)). Solve 4*c + p + 2*p - 3 = 0, 0 = -4*c - 4*p + j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*y - y**3 + 37*y + y - y - 2*y**3 - y**2 + y**2 + 2*y**3 + (-3*y - 1 + 1)*(-2*y + 2*y - y**2).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159153878?\nAnswer: 2, 13, 373, 16411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 6740*o**2 - 2833896*o.\nAnswer: -4*o*(o - 879)*(o - 806)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-38)\/22 - -4*11\/(-484). Sort -0.5, -2\/23, t, 0.1 in ascending order.\nAnswer: t, -0.5, -2\/23, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*((c\/(c\/(c**4\/c)))\/c*c)\/c*c)\/c*c*(c\/c**(-2\/7))\/c)\/((c\/c**(1\/5))\/(c\/(c\/(c\/c**(1\/4))))) assuming c is positive.\nAnswer: c**(593\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 11:55 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 4026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(10\/(-15))\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 16 = -3*u. Suppose 0 = -u*z - z + 20. Suppose -z*h - s = -100 - 41, -s + 5 = 0. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*i - 20*i + 5*i - 15*i + 6*i.\nAnswer: -31*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*p**3 + 54*p**3 + 51*p**3 + 50*p**3 - 203*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 9*u = -8. Suppose -3*j = -j - 10. Let x = j - 37\/7. What is the third biggest value in u, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2 + 2)*(z**4 - 5*z**4 + z**4) - 5*z**3 + z**5 + 5*z**3.\nAnswer: 4*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 + k. Suppose 0 = -4*b - 7*b + 11. Let i(c) = -4*c**2 - 6*c + 3. Let f(s) = b*i(s) + 3*l(s). Give f(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/7 - 108*g**2\/7 + 118*g - 720\/7.\nAnswer: 2*(g - 45)*(g - 8)*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b**2 - 6*b - b**2 + 212 - 204 + 22*b + 37*b. Does 12 divide v(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 6 - 11 + 4*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/32))**(-2\/27)*((g\/(g*g*g**(-3)))\/g**(4\/3))\/(g*g**(-2)*(g**5*g)\/g) assuming g is positive.\nAnswer: g**(-1439\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**2 + 37*d + 111. Let i be o(21). Suppose 5*h + 4 - 19 = 0. Suppose l + 2 = -4*f, 0 = h*l + 5*f - 0 - 1. Solve 4 = -l*w - i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -2, -6, -4, 22, 37 in decreasing order.\nAnswer: 37, 22, 4, 2, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + k - 99 = 0. Let w = 802 + -438. Suppose w - 89 = 11*x. What is the remainder when k is divided by x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6611 and 93756.\nAnswer: 1031316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*n**4 - 9\/4*n**2 - 5\/4*n**3 - 7\/4*n - 1\/2.\nAnswer: -(n + 1)**3*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46594.576 rounded to the nearest one hundred?\nAnswer: 46600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -14 + 14 + 2*z. Let f(c) = 572*c - 46*c - 273*c. Calculate f(y(s)).\nAnswer: 506*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -854?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l - 1. Let s(b) = 20*b + 6. Let m(t) = 3*k(t) + s(t). Calculate m(-2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 80050 + -80053. Let x be (1 + -2)*(-2)\/(-3). Which is the third smallest value? (a) -5 (b) 4 (c) x (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6158, 2\/211, 56?\nAnswer: 2\/211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (163*l - 82*l - 2 - 80*l)*(l**2 + 5*l**2 - 5*l**2) as t*l + f*l**2 + p*l**3 + y and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 80, -215, -924, -2257, -4424, -7635, -12100?\n\"Answer: -35*z**3 + 3*z**2 - 59*z + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*5\/1650*11)\/(72\/20)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*10.765\nAnswer: -3.2295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2. Let d = 54 - 54. Let w(n) be the third derivative of 0*n + 0*n**3 + n**2 + d + 1\/24*n**4. Calculate h(w(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 651*g - 1302*g + 650*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45212 + 89313. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-428 - 435 + 1168*z + 863)*(-z + 4*z - 5*z) to j*z**2 + n + g*z and give j.\nAnswer: -2336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 751, 1219, 2539, 5137, 9439, 15871, 24859, 36829?\nAnswer: 52207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 425315309949 - 425315309949 - 288*s**2.\nAnswer: -288*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 0.0526?\nAnswer: 0.0526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/5198 and -37\/735630.\nAnswer: 16919490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hjtjwjuuwwwjwwhuhwj. Give prob of sequence ww.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (0 + 188\/88). Let i = u + -4\/11. Sort -2\/13, i, -5 in increasing order.\nAnswer: -5, i, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 2*l + 23 - 18 = 0, -4*l = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1707150550 to the nearest integer?\nAnswer: 1195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 23*d**2 - 18*d + 90. Give x(24).\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 14*p + 189. Let z(q) = p*q**2 + 10*q - 24*q + 14*q. Let j(f) = -2*f. Determine z(j(s)).\nAnswer: 84*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + -7)*-2 - (-17 - -7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2. Suppose -3*p + 25 = -14. Let z(t) = -t**2 - p*t + 13*t. What is z(o(i))?\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r. Let l(y) = 51*y + 3. What is l(v(d))?\nAnswer: 102*d + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -144 + 177 + -27 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.111 + -16.689. Let f = q - -17. Sort 3, f, 2\/7.\nAnswer: f, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22205195 to the power of 1\/3, to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 692957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/10 and -35\/366.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 11*g - 6710. What are the prime factors of g?\nAnswer: 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137 - 133. Suppose m*r - 4*y - 124 = 0, 8 = -r - y + 37. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4619, 3, -3, -1 in increasing order.\nAnswer: -3, -1, 2, 3, 4619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -13*j**2 - 15*j + 3. Let m(s) = 27*s**2 + 30*s - 5. Let l(r) = -3*m(r) - 5*x(r). What is the second derivative of l(y) wrt y?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -534.58 + 551. Round d to zero decimal places.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 6*x - 4*x)*(5 - 4 - 3)*(4 + 4 - 6) + 4*x + 0*x + 0*x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 2. Let h(m) = m - 1. Let d be h(-3). Let l = d - v. What is the lowest common multiple of 8 and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 938?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102135 and 60.\nAnswer: 408540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/52*(258\/(-36))\/(2\/(-24))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - -48. Let t = 65.17 - p. Which is the third smallest value? (a) -1 (b) -3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - 3*c**2 - 9*c**2)*(-31 + 31 + 6*c**2)*((-1 + 5 - 3)*(-3 + 2 - 1) - 1 + 2 + 0).\nAnswer: 66*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -92450*n**2. Let t(y) = -24*y. What is q(t(h))?\nAnswer: -53251200*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3 + 60535*s**2 + 242128*s + 242124.\nAnswer: (s + 2)**2*(s + 60531)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -17. Suppose 4*b - 10 = 9*b. Let w(a) = -a + 2. Let d be w(b). Solve -c*t - 1 = d*n, -3*n - 4 = 2*t - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-2\/5)*x*x))**(-31))**(1\/3)*((x*(x**(-2\/5)\/x)\/x*x)\/(x\/((x\/(x\/(x*x**(2\/3)*x)*x)*x)\/x)*x))\/(x**(-1))**(-1\/7) assuming x is positive.\nAnswer: x**(559\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2 - 66302*d - 1098988801 = 0. Calculate d.\nAnswer: -33151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 1 = -2, 3*f = -4*d - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2640458?\nAnswer: 2, 43, 30703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of n**4\/2 - 39*n**3\/2 + 129*n**2. Let w be c(10). Solve 16 = -3*z + w*y + 4, 2*y = 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 6*r**2 + r**2)*(-2 - r**3 + 2 + (-2*r**2 - r**2 + 5*r**2)*(-5*r + 3*r + 3*r)) + 5*r**5 + 2*r**5 - 6*r**5.\nAnswer: -4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 202122022021122 (base 3) in base 4?\nAnswer: 221312011331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*p + 2*p, 4*x + 4*p = -12. Let b = 44 + -48. Let q = b - x. Solve -q*j = -0*j - 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 7*l**2 - 9*l - 3. Let g be s(-6). Suppose g = w + 2. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -135 + d113?\nAnswer: cecd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3781901 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(-2 + (-34)\/(-18)). Let n = -0.9 - -0.7. What is the third biggest value in -0.04, n, i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 75*q - 2. Let l be y(1). Let r = l + 9. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 20211222010?\nAnswer: 20211222002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 51259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9193*t + 9216*t + 92 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 16530520 (base 7) to base 14\nAnswer: 302a10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-281 + 9308*h**3 + 281)*(-4*h**2 + 6*h**2 - 3*h**2) + 4*h**4 - h**5 + 2*h**5 - h**4.\nAnswer: -9307*h**5 + 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -108810 by 702.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -46 + 13. Let k = a + 35. What is the second smallest value in -4, -4\/7, k?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1019361 - 304870. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2992, -23919, -80748, -191431, -373920, -646167, -1026124?\n\"Answer: -2992*l**3 + l**2 + 14*l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*h - 85790 = 10810. Calculate the least common multiple of h and 24.\nAnswer: 3864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*g + 9. Let r = -47 - -65. Suppose g*u = -r + 84. What are the prime factors of u?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 + 30*q + 1. Let v be i(-15). Suppose -x = -3*p + 284, 4 + v = 5*x. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0166377 rounded to five dps?\nAnswer: -0.01664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((336\/2583)\/4)\/(45\/18*(-4)\/15).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**3 - 2*i**3 + i**3 + 0*i**3 + 2*i**3 - 4*i**3 + (-2 + 2 - i**2)*(-17*i + 89*i + 5*i) - 2*i**3 - 3*i**2 + 3*i**2.\nAnswer: -79*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -115*l**6 + 0*l + 0*l + 188 - 189 + 17*l**2 wrt l?\nAnswer: -13800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 9) to base 6\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 29.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.9325 years in decades?\nAnswer: 7.49325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*k - 111*k - 81 = 0 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = 5*m - 5*j, -4*m + 151 = -6*j + 3*j. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -8*d - 7. Let k = -14 + 12. Let i(l) = -2*l. Let g(t) = k*i(t) + 2*u(t). Let s be g(-7). Calculate the greatest common factor of 105 and s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3642.116343 to one decimal place.\nAnswer: 3642.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -0.3, -4, -1, -2, -77266, -1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -30. Let o = -2 - -3. Is 100\/h + 3*o 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 4:21 PM and 3:33 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10432979 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-78)\/(-6) + (-2)\/(-2). Is 78\/a + 6\/14 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -14*l**4 + l**3 - 10*l**2 + 2*l + 2039. Let i(v) = -14*v**4 - 15*v**2 + 3*v + 2039. Let d(q) = 2*i(q) - 3*k(q). Differentiate d(u) wrt u.\nAnswer: 56*u**3 - 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-10))\/((-3834)\/(-389790)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/((-175)\/(-1575))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 1635\/2, -18, 0, 2\/9 in ascending order.\nAnswer: -18, -2\/11, 0, 2\/9, 1635\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/((-290462)\/22343 + 13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ieo when three letters picked without replacement from deioooeeoieoooo?\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -315 - -9*(3 - (-16)\/(-6)). Let f = 1143 + z. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2\/3 - 4*j - 4\/3.\nAnswer: -(j + 2)*(5*j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 710593.2m in kilometers?\nAnswer: 710.5932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aasa when four letters picked without replacement from asaa?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -2819?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = 13*g + 5*i - 4, -g = 3*i - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40\/15 + -2 - (-1938864)\/36.\nAnswer: 2, 7, 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 14*h**5\/15 + 22*h**4 + 214*h**3\/9 - 6*h**2 + 2364. Determine o so that s(o) = 0.\nAnswer: -18, -1, 0, 1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(120)*3)\/(-1*-3*sqrt(6)))\/((sqrt(400) + 4*sqrt(400)*2)*5).\nAnswer: sqrt(5)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 19*h + 6. Let d be g(0). Solve -d*k + 3 = -9*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 9:06 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 55*v - 20*v + 40 = 19*v + 18*v, -3*v = 5*c + 15 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 2*y**2 + 6*y - 21. Let p(l) = -2*l**2 - 8*l + 21. Give -5*o(v) - 4*p(v).\nAnswer: -2*v**2 + 2*v + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*u + 6*u = -180687 + 171717 for u.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-15)*3*-3. Let i = 0.17 - -0.03. Sort v, -0.1, i in descending order.\nAnswer: i, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = 30*t. Solve t = -27*g + 22*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*l = 0. Solve y + 3 = -l*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y + 3*y**2 + 0*y**2 + 0*y**2 + y.\nAnswer: 3*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 208\/(-65)*(-3045)\/(-1624)*8\/(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dppfrpd. Give prob of sequence rf.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 3*o + 1. Let g be v(-2). Solve -5*c + 17 = -g for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -83, -3 in descending order.\nAnswer: -0.2, -3, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*u**5 + 180*u**4 - 2*u**3 - 10*u**2 + 571*u wrt u.\nAnswer: 1200*u**2 + 4320*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16743 + -11450. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*j = 871, -4*b + 3*j = j - 3504. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108778057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 546912350*m**3*u - 16750479*m**3 wrt u.\nAnswer: 546912350*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -327*o**4 - 35160*o**3 - 20372*o**2 - 21*o + 13.\nAnswer: -7848*o - 210960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -4\/3, 18\/7, -429?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -182*h**3*l + 15*h**3 - 4194*h**2 - 75*h*l - 4*l wrt l.\nAnswer: -182*h**3 - 75*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18132*i + 9010*i + 9117*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-8 + 7 + -2 - -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 2. Let k be (23 - 9) + (0 - 4 - -1). Let q(p) = 4*p**2 + 11. What is k*u(s) - 2*q(s)?\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 32?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 j when four letters picked without replacement from {j: 1, n: 1, x: 1, l: 1, f: 1, u: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(605)*-1 - sqrt(605)))**2 + (sqrt(605) - 6*sqrt(605)*1)**2.\nAnswer: 75625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 15 = 5*o, -3*u + 2*u - 3*o = 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 19 - 17 = 0. Let n = 0.03 + 0.03. Is n greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*m**(-3\/2)*m)))**(-7\/9)\/((m\/((m*m*m**15)\/m))\/m*m**(-2\/29)) assuming m is positive.\nAnswer: m**(8185\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -992 + 849. Let n = l + 145. Sort 1\/5, n, -4, -2\/25.\nAnswer: -4, -2\/25, 1\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -196755, -786491, -1769385, -3145437?\n\"Answer: -196579*q**2 + q - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*c - 2 = 10, 2*c = -5*i + 6. Suppose i = 3*x - x + 4. What is the units digit of 9\/(-6) - 19\/x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.157913377 to 3 dps.\nAnswer: -0.158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d = 30 - 828. Suppose -3*u + 100 = 2*u. Let h be (-25)\/10 - d\/u. What is the closest to h in -0.5, 2, 0.6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.075 + 0.625. What is the nearest to -0.1 in 6\/11, 2\/7, n, 0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/3 + 5*d**3 - 67*d**2\/3 + 31*d - 40\/3.\nAnswer: -(d - 8)*(d - 5)*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1.38 * 3\nAnswer: -4.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**3 + 2*r - 26*r**2 + r**3 - 18*r - 12*r - 43. What is the tens digit of b(-25)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 5:50 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p + 1. Let b be l(-2). Let f(m) = -2*m + 0*m**2 + 8*m**2 + 4*m + 5*m**3 + 6*m. Let v(n) = 3*n**3 + 5*n**2 + 5*n. Determine b*f(y) + 8*v(y).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4, 3*v - 3*m - 1271 = -428. Is v\/3 + (4 - 3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 93, 158, 229, 294, 341, 358, 333?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 733391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*i - 26*i - 22*i - 13*i - 21*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(-1\/3)*j))**(-3)*(j**(2\/3)\/j*j)**(-15\/4) assuming j is positive.\nAnswer: 1\/sqrt(j)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -193 + 157.7. Let c = 35.300223 + n. Round c to five dps.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4845579, 9691175, 14536767, 19382355?\n\"Answer: -2*j**2 + 4845602*j - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1327 - -2367. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 15. Solve -2*j - 4*i + i = -10, i - 4 = q for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-7 - -5 - 0) - 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 6719.5702 days?\nAnswer: 959.9386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 8) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -n - 15, -26 + 3 = -2*q + 5*n. Suppose -q*k - 51 = -w, -5*k = 2*w - 4*w + 102. What is the remainder when 202 is divided by w?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -4\/5, -124, 53, 4, -19\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f = 11*f + 16. Suppose 0 = 2*q + q. Solve -f = 2*a - q*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 3 = -q. Solve 1 = 5*t - t - q*a, -10 = -t + 4*a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526 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: Expand t + 3*t - 3*t + (7*t + 2*t + t)*(-3 - 1 + 5) - t + 3*t - t + t + t - 4*t + (3 - 3 + t)*(-3 - 3 + 4) - t + 2*t + 0*t + t - t + t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-12) + 10\/(-3) - -3. Let s be (8\/(16\/(-1)))\/661. Which is smaller: a or s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -t**2 + 19722602*t - 25383760.\nAnswer: -2*t + 19722602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2180175 and 85.\nAnswer: 37062975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*x + 25 = 0, 4*o = x - 10 + 23. Suppose -o*g = 4 - 10. Sort -4, -5, g in decreasing order.\nAnswer: g, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fi when two letters picked without replacement from {q: 4, n: 2, f: 1, i: 1, j: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stsy. What is prob of sequence tsy?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 24*z**2 - 10*z - 8. What is q(-1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-4) - (108 + (-13603)\/122)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121654 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -1d8?\nAnswer: -1da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -39, 0, -1, -5, -2, -6.\nAnswer: -39, -6, -5, -2, -1, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) 10 (c) 0 (d) -1 (e) 70 (f) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 58635176 to the power of 1\/2, to the nearest integer?\nAnswer: 7657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 68*y + 1. Suppose 0 = 23*j - 60 - 32. Calculate the remainder when o(1) is divided by (-3)\/(-18)*80 - j\/(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -11*z**5\/5 - 3*z**2\/2 + 3*z + 49. What is the second derivative of f(v) wrt v?\nAnswer: -132*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 1. Let c(r) = 6*r + 3. Let p be 1\/(-7)*-9 + (-52)\/182. Let i(v) = p*c(v) + 3*x(v). Let b(f) = -2*f + f + 3*f. Determine b(i(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**45\/(a**(-1))**(-1\/5) assuming a is positive.\nAnswer: a**(224\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(196) + sqrt(196) - sqrt(196)*4)\/((4*sqrt(36)\/sqrt(3))\/(sqrt(6) + -4*sqrt(12)\/sqrt(2))))**2.\nAnswer: 882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 12:39 PM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 570696 and 8216?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 19225411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**3\/3 - f**2 + 11*f. Let a be v(-4). What is the third derivative of -4*w**2 - 10*w**3 + 8*w**a + 10*w**3 - w**6 wrt w?\nAnswer: 840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 863 - 861. Solve 3*y - 11 = 4*p, -3*y - c*p + 3*p = 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*j, 135*y = 138*y - j - 5. Let l(m) be the third derivative of 5\/72*m**y - 6*m**2 + 2\/9*m**3 + 1\/180*m**5 + 0 + 0*m. Factor l(d).\nAnswer: (d + 1)*(d + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*d = -86*d - 119*d + v - 2604, 2*v = -v for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8120 = -9*s + 27920. Is 40 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by 1605835?\nAnswer: 6\/229405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 89 + 65 = 2*m, 5*l = -m + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-95)\/38)\/(((-25)\/12)\/(-5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001 minus -31?\nAnswer: 30.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**(-1\/6))**(2\/3) assuming r is positive.\nAnswer: r**(1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 8 + 9*j**3 - 10*j**3 - 3*j**2 - 4*j**3 - 4*j - 3*j**2. Calculate the remainder when n(-3) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 10. Suppose -8*y + s + w = -4*y, 0 = -5*y + 4*s + 17. Let d = y + 7. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21668 (base 14) in base 7?\nAnswer: -454461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4\/5 (b) 0.3 (c) -1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/((-4)\/(-4 + 16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 4:01 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + 4 - 56119\/6. Let r = 9331 + b. Calculate the common denominator of 26\/7 and r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/12 - (-2 - 22\/(-8)). Suppose y = -q - 4, -i - 3*q + 4 = i. Suppose 2*a = 145 - 139. Solve 5 = -a*v + 2*w, -v - i = v + w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000231484225 rounded to six decimal places?\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1089534685*o**4 + 115240149 wrt o?\nAnswer: 4358138740*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -90*h**3 + 684*h**2 + 14*h - 14. Let r(o) = -32*o**3 + 228*o**2 + 5*o - 5. Give -14*r(z) + 5*w(z).\nAnswer: -2*z**3 + 228*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -17 - 31. Let u be (-4 + (-15)\/(-3))*21. Let t = o + u. What is the greatest common divisor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 62*h**2 + 17*h + 3. Let l(x) = -21*x**2 - 6*x - 1. Let c(d) = 6*k(d) + 17*l(d). Determine c(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*v**2*w**3 + 5*v**2*w + 38*v**2 wrt w?\nAnswer: -12*v**2*w**2 + 5*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14429 = -5316976*m + 5317283*m for m.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 944588 - 944588 + 77*q + 43*q - 13*q.\nAnswer: 107*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -175890 divided by 2255\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2347 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.422, -4.\nAnswer: -4, -0.422, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 a, and 1 g when three letters picked without replacement from lmaflgp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 388849 and 388850 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3289 + 3289 - 3*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/12191565 and 73\/423?\nAnswer: 36574695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(640))\/(sqrt(24)\/(sqrt(3) - sqrt(27))) - (5 + -4*sqrt(5) + (1 + sqrt(80))**2).\nAnswer: -86 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60525457.\nAnswer: 17, 541, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-3)\/7)\/((-12)\/42))\/(9\/(-60)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-16)*s)\/s**(-2\/9))**(-1\/5) assuming s is positive.\nAnswer: s**(133\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/29 in -5\/3, -239, 1\/8, -2\/13, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 6*i**2 - i + 7. Determine u(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b = 41*b + 102 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/32430 and 169\/2075520.\nAnswer: 2075520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154811 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1079 - 296*m - 52*m**3 - 551 - 13*m**2 - 531 wrt m?\nAnswer: -312*m - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 155.58.\nAnswer: 159.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -21. Sort c, 0, 6\/7.\nAnswer: 0, 6\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4131*f + 1876*f + 2274*f.\nAnswer: 19*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24.761132 + 16.1615. Let f = g - -8.6. What is f rounded to five decimal places?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5125?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 6*d**2 + 3. Let f(g) = g**2 + 1. Calculate 5*f(q) - y(q).\nAnswer: -q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36041 - -32541. Is -3501 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2832549?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/4287 at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66019\/22 - -3002. Put j, 0.2, -4 in descending order.\nAnswer: j, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*d + 3*r + 11 = 13*d, -10 = 5*r for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*q - 64 = 0, 3*u = 2*q + 20 + 13. Suppose 211 = -u*p - 75. Let f = -20 - p. Which is greater: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {c: 7, v: 4}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p\/((p*p**(-3))\/p)))\/(p\/p**(-2\/31)))\/((p\/(p\/p**8))\/p*p**(-13)) assuming p is positive.\nAnswer: p**(91\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 30 = -18. Which is the smallest value? (a) 2\/7 (b) q (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -5 (c) 100 (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 24*x**3 - x**2 - 13*x + 14. What is the units digit of o(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 677, 990, 1513, 2246, 3189, 4342, 5705?\n\"Answer: 105*w**2 - 2*w + 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154805 is divided by 51385.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 88*a = 822362. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -523425 (base 6) to base 15\nAnswer: -c7db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + 3. Let g = 25 - n. Let v = -45609 - -45606. Put v, 4, g in decreasing order.\nAnswer: 4, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6891528 and 569976?\nAnswer: 75806808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 6*s**2 + 75*s - 78*s - 1 + 5. What are the prime factors of k(2)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - q - 1. Let r(m) = 7*m**2 + 5*m + 8. Suppose 2*g = -g. Let l = 3 - g. Suppose 0 = -l*s - s - 4. What is s*r(a) - 6*x(a)?\nAnswer: -a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**4 + a**4 - 2*a**4 + (a + a - a)*(-3*a + 19*a**2 + 64*a**3 - 21*a**2 + 4*a**2) in the form v + n*a**2 + o*a**4 + k*a**3 + r*a and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*a + n, -3*a - 2*n + 4 + 8 = 0. Let v be ((-7)\/a)\/((-4)\/8). Solve v*z - 36 = -1 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 138 + -92. Let c be 2 - -1*p - 0. Suppose c = 6*t - 2*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, -0.088, 1\/6, -2\/5, 3, -245, -3\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/6)\/(1\/(-153)). Let i = -53 - r. Let k = i + 735. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = f - 28, 3*y = 5*f - 7*f + 21 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 0 - -9)*1. Let y = 11 - s. Is (-262)\/(-8) - (-1)\/y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57 + 17 + -26 - 33\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 4*u + 5*g, 20 = -5*g. Let r = 12 - u. Let q be (-21)\/14 + (-326)\/(-4). What is the highest common factor of q and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**2 - 5*l + 2. Let a be v(3). Suppose 0 = 4*x + 3*g + 23, -5*g + g - a = -3*x. Suppose -3*i + 4*i = 4*r + 12, -24 = 4*r - 4*i. Is x at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -462*i - 1837. Calculate the remainder when ((-1)\/2)\/((-1)\/50) is divided by k(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*h + 382, 3*h + 2*j = -0*j - 571. List the prime factors of 4\/18 + (-77070)\/h.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**5 - d**5 + 0*d**5 + (8*d**4 + 39*d**3 - 39*d**3)*(-d - d + 3*d) - 2*d**5 + 0*d + 0*d.\nAnswer: 7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.75*0.03.\nAnswer: 0.0225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2168453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 7 + 7 = 4*x, 4*x - 3*o = 2. Suppose -3*g + 3 = 3*k, g + 4*k - 4 = -0*g. Suppose g = 3*j - 4*j + 2. Solve 3*a - m = -9, 4*m - j = 2*a + x*m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*d + 4 = 0, 2*d = r - 4*r + 58. What is the lowest common multiple of 64 and r?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21618971?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 116 - 111. Let z(x) = -3*x**2 + x - 61*x**3 + l - 7 + 62*x**3. Calculate z(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48098321 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/23 - -83\/460. Let r(n) be the second derivative of b*n**5 + n + 0*n**3 + 0 + 0*n**4 - n**2. Differentiate r(v) wrt v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833) + 1 + -4)*6 + ((sqrt(833) + 2*sqrt(833))*-6 - sqrt(833) - (sqrt(833) + sqrt(833) + 0)*4))**2.\nAnswer: 5292*sqrt(17) + 367677","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 6 = -2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 3. Let z = -6673 - -6690. What is the remainder when z is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78746 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 167\/7 greater than or equal to 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwswsw. What is prob of sequence wwww?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 2*h - 2. Suppose 0 = 2*r + 1 - 5. Give b(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -75*v**4 + 46*v**2?\nAnswer: -1800*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, -5, -168?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-9)\/g*g*((g\/(g\/g**(-1\/5)))\/g*g)\/g)\/(g**(1\/3))**26 assuming g is positive.\nAnswer: g**(-283\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.66574 microseconds to seconds.\nAnswer: 0.00008066574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.63 + -0.29. Suppose 5*h + 18 = g, -g + 3*h + 5 + 5 = 0. Let n be (-7 - g)\/(4 - 3). Sort n, -2\/3, t in increasing order.\nAnswer: n, -2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30122743?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 299159674 divided by 2?\nAnswer: 149579837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -318, -1260, -2854, -5100, -7998, -11548, -15750?\n\"Answer: -326*k**2 + 36*k - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1524*y + 69206 = 3243*y + 18400 - 92204 for y.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2263158795 to the nearest integer?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -882*j + 2*j**2 + 882*j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1772.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.0894 + 0.0269. Let f = -0.0625 - q. Sort 4\/11, 0.1, f.\nAnswer: 0.1, 4\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 14*l - 33. What is o(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (8 + 102\/(-12) + 2)\/((-3)\/(-16))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 2*x - 251, -3*x = 2*k - 4*x - 165. What are the prime factors of k?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**6\/60 - 2*r**5\/15 + 2*r**3\/3 + 2*r**2 - 100. What are the prime factors of d(-6)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 50 = -4*a, 5*a - 56 = 3*p + 2. Calculate the remainder when 239 is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**3 + 2*h**2 + 4*h + 3. Let n(q) = -3*q**3 - 3*q**2 - 3*q - 4. Calculate 4*n(i) + 5*s(i).\nAnswer: 3*i**3 - 2*i**2 + 8*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -6685378, 0.2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*x + 20 = -56*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**5 + 2175*t**4 + 89905*t**3 + 168985*t**2 - 89910*t - 171160 = 0.\nAnswer: -389, -44, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1770 - 1767. Solve -2*j - v = 4*v + 29, -4*v = -c*j + 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**5 + r**5 + 2*r**5 - 10*r + r**5 + 10*r + (2*r + 3 - 3)*(-r**4 - r**4 + 4*r**4) - 3*r**5 + 2*r**5 + 2*r**5.\nAnswer: 8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(8\/6) + 7. Suppose 3 + 12 = 5*a. Let n = q + a. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, k: 1, o: 2, z: 1, a: 2, l: 3}. What is prob of picking 1 o, 1 l, and 1 e?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49209 or 442882\/9?\nAnswer: 49209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of n**3\/6 - 11*n**2 - n. Let s be q(17). Let p be (-1)\/s + 59\/5. Solve -3*v + p = -0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3)\/r*r**(-1))\/(r**(-2\/3)*r**8*r) assuming r is positive.\nAnswer: r**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-54) - (3 - 87\/27)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/2)\/(8\/(-40)). Suppose 21*x = 12*x - 8*x. Solve -4*s - 33 = n*z, x = 2*s + 3*s + 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -537967.287 rounded to the nearest ten?\nAnswer: -537970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/7 - 106*l**2\/7 + 6092*l\/7 - 5984\/7.\nAnswer: -2*(l - 34)*(l - 1)*(l + 88)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 5 + 2 - 3*s)*(-3*s**2 + 3*s**2 - 2*s**2).\nAnswer: 4*s**3 - 14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3512*b**2 + 3791*b**2 - 7603*b**2)*(4*b**2 - 2*b**2 - b**2) in the form s + o*b**2 + k*b + d*b**4 + j*b**3 and give d.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 1008 and 8.\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*d = -31*d - 1170. Suppose 135*z = d*z + 145. What is the remainder when 54 is divided by z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 2*p - 5. Suppose -p*s = -3*o - 54, 38 = 2*s + s + o. Calculate the greatest common factor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 7:57 AM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 - (-4)\/((-4)\/(-136 + 7 + -5)) and 822?\nAnswer: 58362","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3667 + 0.3667. What is the fourth smallest value in -1\/3, g, 18, -1, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/((-36)\/(-16))*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 364113798\nAnswer: 1\/182056899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10134, -20219, -30304, -40389?\n\"Answer: -10085*n - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 43*d**2 - 306*d - 3172. Determine t(-48).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of j**4\/24 + 2*j**3 + 11*j**2. Calculate the smallest common multiple of g(4) and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 201 + -201. Solve -2*h + 4*l + 8 = s, h + 2*h - 4*l - 12 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 8950650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89 + -8. Let b be (-12)\/(-54) + 20640\/(-54). Let l = 490 + b. Calculate the highest common divisor of n and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-14)\/21)\/(2\/(-2661)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 40\/(-7) - (-2)\/(-7). Let u be (8\/z)\/(2\/(-3)). Let o be ((-3280)\/u)\/((-4)\/10). Round o to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 - 2)*((-1 + 1 - w)*(-2 + 0 + 0) - 19*w + 2*w + w)*(-2*w**4 - 2*w**4 + 2*w**4).\nAnswer: 84*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**5 - 44*a**4 + 46*a**3 + 24*a - 8. Let m(j) = j**5 + 15*j**4 - 15*j**3 - 9*j + 3. Let r(v) = 8*m(v) + 3*z(v). Let r(c) = 0. Calculate c.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 157, -1, -0.3, 0.2, 150.4, -2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(336\/(-7)) + 242\/16. Let r be -1 - -3 - (4 + q\/(-8)). What is the closest to 0 in -1\/7, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 11*u**2 + 5*u + 5. Let a(i) = 10*i**2 + 4*i + 4. Let p(f) = 5*a(f) - 4*g(f). Is p(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46835 = -968*f + 1003*f + 9525. What are the prime factors of f?\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 778 + -811. What is the smallest common multiple of 16 and (n\/(-11))\/(18\/672)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.8? (a) 1 (b) 0.4 (c) 10 (d) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 125544 minus -86878213?\nAnswer: 87003757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1021001 (base 3) to base 15\nAnswer: -414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104175.\nAnswer: 3, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 2*k - 38 = 0, -3*a + 7*a - k - 124 = 0. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 39381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(300)*1)**2 + -4 + -2.\nAnswer: -906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 44571*i**4*x - 11*i**3*x**2 + i**3 - 3*i**2 - 433*i*x**2 + i + 308*x**2 - 1 wrt i?\nAnswer: 1069704*i*x - 66*x**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a day?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.47799332 - -0.478. What is k rounded to 7 decimal places?\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 780 times -17907?\nAnswer: -13967460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1039 divide 689272879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 1 = -2*m, -m - 4 - 3 = -j. Suppose -3*b + 88 - 91 = -2*z, -4*z = -3*b - 3. Solve -j*d - 8 + 2 = z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.96528727 - -3.9651. What is x rounded to six dps?\nAnswer: -0.000187","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rraanararnaa. What is prob of picking 1 r and 1 a?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/(-18))\/(-2)*-3. List the prime factors of 291\/97 + (1349*a - 1).\nAnswer: 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*l + 1, 2*l = 3*u + l - 41. Let h(o) = o**2 - 13*o + 14. What is the remainder when h(u) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 353997962?\nAnswer: 2, 176998981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29208\/13 + 2244. Let r = m + 291\/91. Let s = -61\/2 - -32. Which is the closest to s? (a) -0.5 (b) -2\/9 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3413001 (base 6) in base 15?\nAnswer: -363e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*n + 27*n - 38*n**3 - 61*n.\nAnswer: -38*n**3 - 6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 113*i**6 + 111*i**2 + 632. Find the second derivative of r(g) wrt g.\nAnswer: 13560*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.56311448 to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.1 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 17*r + 58. Let m be d(3). Put m, -1, -22, 2 in decreasing order.\nAnswer: 2, -1, m, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 12. Let h be m(12). Let i be 414*((-147)\/6)\/(-7). Suppose -8*r + 1279 + i = h. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 + 25*p - 13. Let o be q(12). Let d be (-5616)\/(-42) + o + 6\/21. What is d rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84313 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20399744359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -314 + 3452\/11. Let w = -649 - -645. Which is the closest to w? (a) j (b) 2\/19 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -0.408?\nAnswer: 1.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(704)*-4 + sqrt(11))**2.\nAnswer: 10569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 15*o**5 + 24*o**4 - 1872*o**3 - 2256*o**2 + 37200*o - 14400 = 0.\nAnswer: -10, -6, 2\/5, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 195? (a) -5 (b) 15 (c) 2 (d) -19\/3 (e) -3 (f) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13 + 3)*(-2)\/4. Calculate the greatest common divisor of k and 75.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - l + 1. Let w(k) = -k**3 + 3*k - 2. Let p = -1629 + 1627. Calculate p*f(s) - w(s).\nAnswer: -s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 307173455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 52*q**2 + 5*q - 5. Let g(s) = -24*s**2 - 2*s + 2. Let m(i) = 2*c(i) + 5*g(i). Calculate m(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -7, 10, -5, -0.2, 0.5.\nAnswer: -7, -5, -0.2, 0.4, 0.5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -458, -714, -584, 124, 1602, 4042, 7636?\nAnswer: 12576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 228 (b) -5 (c) 374 (d) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 54*o + 8847. Calculate j(-168).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 985 and 132581?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 2*m - 58. Let l = 190 - m. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 c when two letters picked without replacement from {f: 6, c: 1, m: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (8\/20 - (-282626)\/10). Suppose -5*h + a = -6734. Round h to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3256406035 + 6?\nAnswer: -3256406026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -6 + -15 + 49\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -632.\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 1 - 1 = 0. Let t = 107 + -1389\/13. Let b = -0.6 - -0.3. What is the closest to -0.2 in t, b, j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -210 - -3522?\nAnswer: 3312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -191 + 193. Let g(u) be the first derivative of -4*u + d + 0*u**2 - 2\/3*u**3. Find the first derivative of g(o) wrt o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 7*m**4\/12 + 13*m**3\/3 - m**2. Differentiate t(u) with respect to u.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 3. Let s(v) = -2*v**3 + v + 5. Let g = -345 + 348. Let l(t) = t**3 + 3*t**2 - 2*t - 1. Let c be l(-3). Calculate c*w(p) + g*s(p).\nAnswer: -p**3 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*1\/(-9) + 96\/54. Suppose 0 = -2*v - w*o + 12480, 2*v - 12474 = -2*o + 6*o. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 306 and 1785.\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -0.2593.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j - 11. Let k be z(11). Let v be 2012*(39\/9 - 4). Let m = v + -648. Which is bigger: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*l = -60. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(2\/9))\/s**7*s*s*s**(-2\/15)*s\/s**11 assuming s is positive.\nAnswer: s**(-646\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8423030 is divided by 8423006.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 2*y - 3*y + 636, 258 = 2*p + 4*y. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180027 is divided by 65.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 12:57 PM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 113498 = -47*t - 30*t. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31931010 and 6487.\nAnswer: 415103130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**0*v*v)**(-9\/2)*(v\/(v**(-1\/2)*v))\/v**(-1)*(v**(-1\/4)*v)**3\/(v\/((v\/v**(2\/5))\/v))**(-20) assuming v is positive.\nAnswer: v**(55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.265 + 144.735. What is the smallest value in r, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2726 to the nearest one hundred.\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 574*f - 780 = 514*f for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.26173 millilitres in litres?\nAnswer: 0.07426173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1984484.\nAnswer: 2, 181, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -6*o + 2. Let j(z) = -z + 1. Suppose -4*u - 4 = -g, 5*g + 428 = -u + 427. Determine u*x(h) + 3*j(h).\nAnswer: 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 37*c - 1. Let b = 40 - 25. Calculate the remainder when t(2) is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*y**2 - 3 - 539*y**3 + 5*y**2 + 541*y**3 in the form u*y + v + a*y**3 + j*y**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 333413*z - 29006945. What is q(87)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49508.7357 - -49511. Let i = 0.0257 + c. Round i to one dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1719069 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -240, 27, 10, 0, 5.\nAnswer: -240, 0, 5, 10, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88045, 87946, 87847, 87748, 87649?\nAnswer: 87550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82, 81, 80, 79, 78, 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-10 - 10 + 7)*(-2*w**2 + 0 + 0).\nAnswer: 52*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 9*i**2 + 7*i + 4. Let r be m(10). Is (r - -5)\/((-3)\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -3131?\nAnswer: -4\/3131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o**3 + 4*o**2 + 19. Let n be d(-5). Calculate the greatest common factor of n and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 66*w + 895. Give i(-14).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-10))\/1*(-51)\/(-102)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*b + 66138*b**2 + 897*b - 66136*b**2 + 5*b**2 - 3*b**2 - 3*b**2 + (-3*b - 2*b + 3*b)*(-2*b + 0*b + 3*b) in the form p*b + v*b**2 + n and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32705?\nAnswer: 5, 31, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1166 (base 8) to base 14.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-12)*(-937812)\/52941?\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 14 - -1) + (4 - 2) + 16\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.4 + 14. Let r = x - -0.4. Which is the biggest value? (a) 0.1 (b) 0 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 574516, 1149007, 1723500, 2297995?\n\"Answer: n**2 + 574488*n + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -q**6\/6 + 33*q**5\/35 - 9*q**4\/14 - 8*q**3\/21 - 177. Suppose h(m) = 0. What is m?\nAnswer: -2\/7, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -10*v - 74. Calculate i(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 635.4397 decades in millennia?\nAnswer: 6.354397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a + 15*a = 4*j + 11, 1 = 5*a - 2*j for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - o = 2*i - 13, -4*i - 5*o + 29 = 0. Let u(c) = c**2 + 2*c + 3. Let d be u(-2). Find the third derivative of l**6 - d*l**6 - l**i + 3*l**2 wrt l.\nAnswer: -360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6002 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, q: 2, p: 1, s: 6, i: 3}. What is prob of picking 1 u and 3 s?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 3*k)*((2 - 1 + 2)*(5 + 6 + 1) - 1 + 7 - 3) - 4*k + 0*k + 3*k + 3 - 3 - 2*k as s*k + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*b - 21*b - 110. What is the units digit of (-3 - 175\/b) + (-5322)\/(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 24 = -3*b, 0*b - 26 = -5*k - b. Calculate the greatest common factor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32426?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 0*f**2 + f**2 + 6*f - 8*f - 11 - 3*f. Let r = 19 + -11. Let u be n(r). What is the greatest common divisor of 13 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(3 - 3 + 4*v)*(110*v + 204*v**4 - 110*v) + 2*v**5 + 1 - 1.\nAnswer: 818*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 c when two letters picked without replacement from hrbcrhchh.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -100, -191, -280, -367, -452, -535, -616?\n\"Answer: z**2 - 94*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12792 and 858000.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 415*d - 210*d + 380*d to c*d + b and give c.\nAnswer: 585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2310020121 (base 5) to base 16\nAnswer: -4eb2a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 248483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 380 (c) -0.1 (d) -3 (e) -5 (f) -2 (g) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.03571 - -148889347438\nAnswer: 148889347438.03571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 21*r - 77. Determine x(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*j = j + 9, -8 = 5*l - j. Let m be (7 + (-38352)\/5480)\/((-3)\/5). Is m greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(32) + -2*sqrt(200).\nAnswer: -16*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4234756 centuries to months.\nAnswer: 508.17072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 173 + -106. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.82657 - 12950.939\nAnswer: -12952.76557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22.41 - -0.41. Let g = w - -20. Let q = 7 + g. Which is the biggest value? (a) q (b) 2 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -6 - (0 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*w - 3581 = -24*w + 33 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 7:53 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 22*h - 25. Give p(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 321550*k + 7068 = 321400*k - 8232 for k.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -1.2 (c) -0.1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 12 = -2*w, 0 = -w - 2*w + 4*h - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1521073 is divided by 2099.\nAnswer: 1397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7150 - 7168) + (1 - -10) + -3 + 1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -10*k**3 + 12*k**2 + 5*k. Let a(c) = -5*c**3 + 6*c**2 + 3*c. Give 5*a(p) - 3*g(p).\nAnswer: 5*p**3 - 6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -21303220?\nAnswer: -21303231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-462)\/(-110))\/((-6)\/10*(-10)\/30)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623.7 times -0.15?\nAnswer: -93.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001401 rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 10:08 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1347783113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 4 + 4*q**2 - 5*q**3 - q**4 - 4*q**2 in the form y*q + m*q**2 + h*q**4 + u + b*q**3 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a year in months?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbkkubuk. Give prob of picking 3 k and 1 u.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5*-92609\nAnswer: 463045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f - 3. Let k(z) = -z + 3. Let b(t) = -h(t) - k(t). Suppose -4*j = -9*j + 80. Let p(n) = -j*n**2 + 1 - 1. Determine p(b(u)).\nAnswer: -16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2\/15 - 38*c\/15 + 28\/5 = 0. What is c?\nAnswer: -21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390*p + 783*p - 394*p + p**2.\nAnswer: p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -838*v + 5155. What are the prime factors of w(-36)?\nAnswer: 35323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -11. Let y be 46 + 2 - (0 - o). Calculate the greatest common factor of y and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 - 5*q. Let w(r) = r - 1. Give k(a) + 3*w(a).\nAnswer: -a**2 - 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 63*u - 11. Let k(z) = -190*z + 32. Let l(n) = 10*a(n) + 3*k(n). Let p be l(4). Let b = p - 65. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 23*f. Let z(m) = -m**2. Calculate z(s(l)).\nAnswer: -529*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36984856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306566 is divided by 17013.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of i**6\/540 - i**5\/36 - i**4\/6 + 16*i**3\/3 - 5. Let n(d) be the third derivative of k(d). Factor n(b).\nAnswer: 2*(b - 6)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - 2. Let d = -17 - t. Which is the smallest value? (a) 1\/2 (b) d (c) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.624812 * -0.5\nAnswer: 3.812406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190229?\nAnswer: 13, 14633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (30495\/5700 + (-4)\/(-5)*-2)*(-40)\/6?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plpuftlttjtluplpu. Give prob of picking 1 j and 1 f.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0399 - -190.63.\nAnswer: 190.6699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37380 divided by -7476.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a - 3*a**2 + 0*a**2 - 2*a**3 + 0*a**2 in the form p*a**3 + o*a + u*a**2 + m and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 34 + (3 - 1). Suppose -4*n + z = -5*l, -6*n + 3*n - 3*l - 9 = 0. Solve -2*s = 10, -4*s - 12 = -n*m + 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 16. Let t = -4 + l. Let o = 1.42 + -1.42. Put t, 4, o in ascending order.\nAnswer: o, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 9998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 72350447?\nAnswer: -72350449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56292826 to the power of 1\/2, to the nearest integer?\nAnswer: 7503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15193352947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391140.\nAnswer: 2, 3, 5, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14162 + ((-73)\/15 - 6*11\/495). What is the highest common divisor of l and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00200043 to 5 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.5 + -30. Let m = 15 + h. Let z = -269\/209 + 21\/19. Sort 0.1, z, m in ascending order.\nAnswer: z, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**1\/z*z)**(-4\/11))**(1\/7)*(z\/(z\/z**(-5))*z*z*z\/z**(-2\/3)*z)\/((z**(-5)\/z)\/(z*z**(-4))) assuming z is positive.\nAnswer: z**(592\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)\/sqrt(125))\/sqrt(8) + -2)**2.\nAnswer: -4*sqrt(2)\/5 + 102\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236612132.\nAnswer: 2, 23, 2571871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 54 + 26*k - 22*k - 97*k - 26 + 63 wrt k.\nAnswer: -93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**3 + 80*c**2 - 148*c + 72 = 0. Calculate c.\nAnswer: 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 346.\nAnswer: 3806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22074.55 kilograms to tonnes.\nAnswer: 22.07455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141478?\nAnswer: 2, 127, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28290\/(-8200) + (-12)\/70*-1*(11 - 4).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b**2 + b**2 + 5*b**2)*(-98*b + 495*b - 120*b) as m*b**3 + a*b + h*b**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3061533193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 16328585.\nAnswer: 16328584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3569.\nAnswer: 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1372 divide 866515131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -2\/15, 601, 9, 43?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -98, -71, -18, 67, 190?\n\"Answer: y**3 + 7*y**2 - y - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6253 divided by 1?\nAnswer: 6253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (959*z - 1373*z - 1146*z)*(3*z - 5*z + 7*z + 3) in the form g + t*z**2 + l*z and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1564 and 1462.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21492*u**5 + 126*u**4 - 298*u - 7339 wrt u?\nAnswer: 429840*u**3 + 1512*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(-88 - 99 + 515*u + 187).\nAnswer: 1030*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 397406624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -5.6555 (b) 0.4 (c) -0.13 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence agar when four letters picked without replacement from {g: 10, a: 5, r: 4}?\nAnswer: 25\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -t + 8, -4*g = -5*t - 6 + 22. Suppose t = 8*s - 4*s - 4, 279 = 4*a + 3*s. Is 22 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkeltetkheekkt. What is prob of picking 1 t and 3 k?\nAnswer: 30\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c**2 - 2*c + 1. Let v be t(1). Suppose -3*h + 7 = -p, 2*p = -94*h + 95*h + 1. Solve k + p = -v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.007 + -0.107. What is the nearest to -1 in -1\/6, -1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -144 - -154.9. Let n = l + -10. Let s = 0.1 + n. Put 5, -4, s in increasing order.\nAnswer: -4, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -4. Let y be (0 + x\/(-4))*12. Suppose -7 = 2*a + 5. Are y and a non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 6:49 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2245001.\nAnswer: 11, 409, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87 + 167. Suppose 1 = 2*v - 3. Suppose -v*z = 2*z - q. Solve -z = 4*t - 0*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*v = -31*v - 15*v - 154 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 8:36 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 91*b + 611. Let a(t) = 48*t + 306. Calculate -15*a(m) + 8*u(m).\nAnswer: 8*m + 298","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 4336\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 576 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(99)*-1)**2 + 3 - (sqrt(33)\/(sqrt(3) - sqrt(3)*3) + sqrt(77)\/sqrt(7)*1)**2.\nAnswer: -18*sqrt(11) + 433\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10 + 8)*(-3 - 1). Suppose 6*z - 2 = y*z. Are -2\/85 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(-35)*-1 + (-31)\/(-5). Suppose -4*q + 6 = -v*q, 5*z = 5*q + 490. Is z a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 16*x**2 + 17*x + 4. Let h be l(-15). Let g be (h*(-3)\/(-5))\/((-2)\/10). Suppose 1 = -k + g. What is the greatest common factor of 7 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32031340 divided by -1455970\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 290 - 104. What are the prime factors of q?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*n**2 + 0 + n**2)*(-30 + 10 - 7)*(9 - 2 - 2)*(2*n + n + 0*n).\nAnswer: -405*n**3 + 405*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*n, 2095*j = 2100*j + 6*n + 28. Let s be (-2)\/8*620\/70. Which is greater: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -605, -606, -607, -608, -609?\nAnswer: -610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*l + 685659 = 687738 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121202122 (base 4) to base 11.\nAnswer: 71653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b**3\/8 + 771*b**2\/4 - 1163*b - 3096 = 0. What is b?\nAnswer: -1548, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11353 is divided by 264.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 10508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**3 - 1958*g - 148243 wrt g.\nAnswer: -6*g**2 - 1958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -125, -273, -523, -911?\nAnswer: -1473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 11. Suppose a + a + 44 = 0. Let s be -5 - (a + (3 - -2)). Calculate the highest common factor of s and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 11:36 AM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 AM and 5:45 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 500, 945, 1390, 1835, 2280, 2725?\n\"Answer: 445*m + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13908.4 - 13909. Which is smaller: q or 43\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**4\/24 + 2*w**3 + 9. Let n(i) be the third derivative of q(i). Let z(g) = g + 8. What is -18*n(b) + 2*z(b)?\nAnswer: 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + v**2 - 4*v - 1. Let h = 270 + -274. Let u(z) = z**3 - z**2 + 3*z + 1. What is h*u(s) - 3*i(s)?\nAnswer: -s**3 + s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16845?\nAnswer: 3, 5, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + -23. Let i = x - -43.2. Let s = i - 3.19999958. Round s to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 0 - 30\/(-7). Which is the biggest value? (a) 4 (b) 4.62 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.4503 to one decimal place.\nAnswer: 82.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 203255 and 455?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 102852 to the power of 1\/2, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - y = 2*s + 9, 0 = -3*s - 3*y + 45. Suppose -3*p + 0*p = -s. Let h be ((-2)\/(-14))\/((-2)\/p). Which is the smallest value? (a) 0.2 (b) 1\/3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 33 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -216 less than or equal to 816?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 372223 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(((a*a*a**(2\/3))\/a)\/a))\/a)**(-1\/34))**27\/(((a\/(a\/(a\/(a*a**6*a))))\/a**(1\/2))\/(a\/(a*a*a*a\/a**(-7))*a**(-1\/2))) assuming a is positive.\nAnswer: a**(-42\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2638, 2763, 2888, 3013, 3138, 3263?\n\"Answer: 125*x + 2513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, l: 1, q: 2}. What is prob of sequence ql?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 222900142 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 100, 107, 118, 133, 152, 175, 202?\n\"Answer: 2*m**2 + m + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.061*-0.06543\nAnswer: 0.00399123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1311a - -2?\nAnswer: 1311c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/(-57)*(-2)\/(-3)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 863 a factor of 18357736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12767299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 9*z**4\/4 + 3*z**3 + 2. Find the third derivative of j(n) wrt n.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/84)\/(3\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 3:49 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3033, 12068, 27099, 48120, 75125, 108108?\n\"Answer: -v**3 + 3004*v**2 + 30*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/455 and -16\/399.\nAnswer: 25935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*y**2 - 3*y**2 + 0*y**2)*(-y - 3*y - 3*y) + (3*y + 2*y**3 - 3*y)*(-5 + 1 + 3) - 2*y**3 + y**3 + 2*y**3 to k*y**2 + u*y**3 + s*y + t and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*j**2*t**3*x + 13*j**2*t*x**3 - 31*j**2*t - 2*j*t**3*x**2 + 207*j*t*x**3 + 504*j*x**2 wrt j?\nAnswer: -16*t**3*x + 26*t*x**3 - 62*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-154)\/(70\/(-5))*-1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*i + 22, 0 = -2*i + 7*i - 25. Let o(j) be the first derivative of 0*j**k + 0*j**2 + 1\/3*j**3 - 1\/5*j**5 + 2 + 0*j. Factor o(t).\nAnswer: -t**2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*l - 3*z = -51*l - 50*l + 180, -10*z = 5*l - 100 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/8100 and 143\/666.\nAnswer: 299700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360038202 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18031 is divided by 265.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -195, 0.15, 0.688, -0.5.\nAnswer: -195, -0.5, 0.15, 0.688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + (sqrt(847) + 1 + sqrt(847) + 1 - (sqrt(847) + (-2 + sqrt(847))*1 - sqrt(847))))**2.\nAnswer: 792*sqrt(7) + 5298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000304 to 6 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -8*i + 31. Calculate the remainder when 8 is divided by (1 + 1)*i\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28065641459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11129321969 + -0.1\nAnswer: -11129321969.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + -1.1. Let p = q - -0.8. Let o = -1.2 - p. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121232023 (base 4) to base 5.\nAnswer: -11332410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 1. Let b be -1*(2 - 0 - x). Let v = 126 + -125. Solve b*s + s + v = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5800 + -4379. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 92\/28 - 6\/21. Let z(l) = -l. Let c be z(o). Let r be (c\/(-6))\/(39\/12 - 3). Let h(y) = -5*y + 3. Determine h(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*i - 27*i - 16 = 4*v, -2*i = v - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -100 and 131.\nAnswer: -13100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u + 22*u = -124. Let l be 24\/(-40) + 276\/10. Let i be (-18)\/l + (-1)\/(3\/u). Solve 10 = 5*t - 2*n - 0, -3*t + 4*n = -i for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -663506 (base 8) to base 2.\nAnswer: -110110011101000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -72 + 77 + 0 + -4 + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.7 + -23.7. Let u = 21.8 + z. Let q = 2.8 + u. What is q rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 6*p - 5. Let z(x) = -2 - 2*x**2 - x - 7*x - 3*x - 7. Let i(j) = -5*a(j) + 3*z(j). Let h(t) be the first derivative of i(t). Give h(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 12*u**2 + 6*u + 14. Let r(a) = -5*a**2 - 3*a - 7. Let n(y) = 4*f(y) + 9*r(y). Let v(i) = 2*i**2 - 2*i - 4. Give -3*n(t) + 5*v(t).\nAnswer: t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107735.\nAnswer: 5, 29, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 10:17 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (-29 - 1) - -8) + 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -398 + -267. Let o = 670 + w. Solve -1 = -o*j - 21 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 0*f + 2 - 2\/3*f**2 - 2\/9*f**3. Find c, given that y(c) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/19, -1\/41286, 5\/3, 0 in decreasing order.\nAnswer: 5\/3, 0, -1\/41286, -6\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-5 - -7) + -5. Put -8, i, -3 in ascending order.\nAnswer: -8, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.700929 to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, k: 7}. What is prob of picking 2 k?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18832.000047752 + -18832. Round n to six dps.\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2+0.23606\nAnswer: -1.76394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) - 1*(-2 + sqrt(425)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (870\/(-21))\/(15\/(-105)) - 3. Which is the biggest value? (a) -4 (b) -1\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6\/5 + -74\/45. Let a = 0.7 - -0.3. Let w be (-6)\/9 + 6\/3. What is the closest to a in r, w, 7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from wohwhiwhwwhwwwwi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/(h**(39\/4)\/h*h))))**(-8)*h*h\/(h*h*h**(-1\/8))*h\/h**(-12) assuming h is positive.\nAnswer: h**(665\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -570391\/36 + 15848. Calculate the common denominator of -71\/12 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 6*j + 22618 = 5*x, 2*x - j - 9048 = 0. Suppose 5*h = x + 204. What are the prime factors of h?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -205?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*b + 3 = 77*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n - 4*n**3 + 6*n + 3 - 9*n to y*n + i*n**3 + x + z*n**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 556 divide 33841496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39247?\nAnswer: 13, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-24)\/(-64))\/(12\/48))\/(3\/(-16)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 8*u - 17. Let o be n(-8). Let i be (10\/5)\/(4\/(-122)). Let m = i + o. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 16*c + 16. Suppose m + 6 = -x + 1, -4*m + x - 30 = 0. Let l(p) = -5*p - 5. What is m*l(n) - 2*g(n)?\nAnswer: 3*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rccc when four letters picked without replacement from drcdccccrccc?\nAnswer: 28\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y - 96 = 24*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -4 - (8 + -1 + (33 - 45)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(405) + -1)*-2 - sqrt(30)\/(sqrt(48)\/sqrt(32))).\nAnswer: -4 + 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*s = -820 - 1, -2*k - 3*s - 797 = 0. Let o = k - -415. Solve -8*t + o*t + 12 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -7, -3, -1268, 5, 106, 1 in descending order.\nAnswer: 106, 5, 1, -1, -3, -7, -1268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77609, -155216, -232819, -310418, -388013, -465604?\nAnswer: -543191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 24*v**2 - 82*v - 23. Calculate u(-27).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + -28 - (1 - (-9 + 3)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**3 - 92*j**2 + 58*j + 61. Let g be h(30). Let w = -12 + 7. What is the nearest to 2\/3 in -0.1, w, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35377.347 rounded to the nearest integer?\nAnswer: 35377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8024 and 30?\nAnswer: 120360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/64*4)\/(16\/(8640\/1377)).\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27112032 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**7\/5040 + p**6\/720 - p**5\/10 - 5*p**2. Let g(f) be the third derivative of d(f). What is g(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.36 - 0.04. Let c = 20 - 20.1. Let d = 0.52 - 0.62. What is the closest to c in d, i, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*d**2 - 3*d - 8*d + 9*d)*(-2*d + 2*d - 2*d**2).\nAnswer: 34*d**4 + 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -1 + q**3 - q - 2*q - 4*q**2 - 2*q**3 + 2*q**3. Let a(y) = -4*y**2 + 6*y + 112. Let i be a(6). What is d(i)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - -21. Calculate the remainder when v is divided by (15\/6)\/((-1)\/(-6)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = -4*h. Let v(j) = -5*j. Let q be v(h). Suppose -t - 8 = -p, -15 = -p + 3*t + 3. Solve p*i - 14 = q*k, 5*i + 3 = k - 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4180593?\nAnswer: 3, 37, 37663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -64*u + 4297 + 9079. Calculate the remainder when u is divided by 103.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (522\/(-57))\/3 + 3. Let z = 61\/76 + k. What is the smallest value in 3, 2\/5, z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-9 - (-2 + 0)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*u**2 - 4*u**4 + 15*u**2 + (-5*u + 0*u + u)*(u**3 + 2*u - 2*u).\nAnswer: -8*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78650, -156738, -234822, -312902?\nAnswer: -390978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 7*t**2 - t. Let j be p(-7). Suppose -5*d + 6 + 4 = 5*a, d = 4*a + j. What is the remainder when 9 is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-18) - (-922)\/(-18). Let b be (-4)\/10 - t\/15. Is (-81 + 2)\/(2 - b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 9*n**3 - 20*n**2 + 2*n + 35. Let o(f) = 4*f**3 - 10*f**2 + f + 17. Let x(m) = 7*o(m) - 3*w(m). What are the prime factors of x(10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b + 43*b + 12*b + 13*b - 131*b + 27*b + 13*b + 24*b.\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2927)\/(-5))\/((-13)\/(-65)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7344740 divided by 27716\nAnswer: -265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21621 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10669909 is divided by 463909?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170002?\nAnswer: 2, 7, 12143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 8*u**2 - 5. Let o(r) = 33*r**2 - 21. Determine -5*o(h) + 21*t(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**3\/3 - 96*v**2 - 8732*v - 766640\/3 = 0 for v.\nAnswer: -140, -74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.2 (b) -36 (c) 1 (d) -5 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**5\/20 + 2*t**4\/3 + t**3\/6 - 3*t**2 + 32*t. What is the remainder when d(3) is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/h**(2\/7))\/h**(-6)*h**(2\/17)\/h**2)\/((h\/(h**(6\/11)*h*h))\/(h*h\/(h**(3\/5)\/h)))**(-26) assuming h is positive.\nAnswer: h**(-626683\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1471847 is divided by 735893?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 207 + -198. Suppose -a = -11 + w. What is the second biggest value in 1\/2, -5\/6, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7809 is divided by 3361.\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39.066 - -39. What is u rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10605079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.083221 and -0.465.\nAnswer: 0.038697765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 1114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*r = 62, -175 = 5*v - 4*r + 2*r. Let s = 53 + v. What is the remainder when 31 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -848 + 847.99619. Round a to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3\/2 - 16162723*m**2\/2 + 32654181643428*m + 163271110251240 = 0.\nAnswer: -5, 8081364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189660?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.4 + 51.6. Let x = k + -73. Which is the fourth smallest value? (a) 1\/6 (b) -3 (c) -0.2 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105480953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 230 + -221. Let s(m) = m**2 + 3*m - 1. Let o be s(-5). Is o smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 13997.\nAnswer: 41991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 173.9849 - -0.0151. Is -1 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + -10. Let v = -27 - z. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -48b - -34ad8?\nAnswer: 3464b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 408 divide 71281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -151 - -161. Solve -h = 4*f + x - 9, h - 2 = -f for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.16 + -0.06. What is the third smallest value in -1\/7, -0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12245 by 2449.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*b - 4*b + 4*b**3)*(-487 - 84 + 87) to g*b**3 + q*b + k + j*b**2 and give g.\nAnswer: -1936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -110? (a) -36 (b) -473 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - m = -2*g + 22, -2*g = 2*m + 6. Let x be ((-6)\/m)\/((-3)\/144). Let r = x - -123. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -2 - 0) + (-1 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-4))\/(2\/4). Let i = -162.4 + 162. Sort z, i, -3 in descending order.\nAnswer: i, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 16 = -4*s, 3*s - 5*n - 27 = -9 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136354271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2312*n**4 + 8024*n**3\/3 + 2666*n**2\/3 - 3844*n\/3 = 0. What is n?\nAnswer: -2\/3, 0, 31\/34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 17. Suppose 3*o - 27 = 4*x, 3*x - 2 + 19 = -o. Let g be ((-15)\/x - d)*0. Sort 6, 1, g in ascending order.\nAnswer: g, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -116 + 144. Let s = q - 30. What is the nearest to 0 in -2\/13, 1\/7, s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a - a - 2*a + 7*a**2 to c*a**2 + k + m*a and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by 3\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from uavhhiiavvvh?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, y: 1, f: 3}. Give prob of sequence ffoy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2290 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: Differentiate -756334*f - 27120 with respect to f.\nAnswer: -756334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**2*u\/u**(-2))**(1\/37))**(2\/23) assuming u is positive.\nAnswer: u**(4\/851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + 0*m**3 - 2*m**3)*(3*m**2 + m**2 - 2*m**2 + (3*m - 3*m - 2*m)*(3*m + 3*m + 5*m)).\nAnswer: 20*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 119 - 49. Let k be 5*3\/5 + 5 + 20. What is the highest common factor of t and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(2736) + 1 - -5*sqrt(171)*3) + 0.\nAnswer: 4 + 57*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-five halves of a milligram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/955 and -31\/20.\nAnswer: 3820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r**3 + 12*r**2 - 3*r - 5. Let p(d) = -8*d**3 - 23*d**2 + 5*d + 8. What is 3*p(v) + 5*y(v)?\nAnswer: -4*v**3 - 9*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*b + 12*b - 82*b - 20*b.\nAnswer: -140*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**3 - 2*k**2 - k. Let m(i) = -i**2 + 10*i - 1. Let z be m(10). Calculate v(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2511776 + 2228224. Round j to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/22 + (-36)\/44. Let q(o) = -2*o**2 + o**2 + 25*o**2 - o. Is q(t) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 + 1773*m.\nAnswer: -3*m*(m - 591)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34931781, 34931778, 34931773, 34931766, 34931757, 34931746, 34931733?\nAnswer: 34931718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 163, -414, -1485, -3296, -6093?\n\"Answer: -41*m**3 - m**2 - 287*m + 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56645 * 2.\nAnswer: 113290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.588881055 + 5.907?\nAnswer: 5.318118945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(14)\/sqrt(252).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + (-8 + -1 - -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.6 + -3158.\nAnswer: -3155.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**2\/10 - 14*d\/5 - 26\/5 = 0. Calculate d.\nAnswer: -26, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**3 + 4*f**3 - 6*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 = 2*b, 4*c = -4*b + b + 23. Suppose 2*d = c*d + 12. Is d greater than or equal to -11\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 618.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -56, -91, -126?\n\"Answer: -35*u - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g + 2*g + 3*g)*(-g - 5 + 5) + 3*g**2 - 2*g**2 - 2*g**2 + (3*g - 5*g - g)*(-1000*g - 124588 + 124588) to the form d*g + y*g**2 + h and give y.\nAnswer: 2997","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19027*l - 24 - 95 + 38 + 42 + 39)*(-l**3 + 2*l**3 + 0*l**3) in the form s*l**4 + d + n*l**3 + c*l + m*l**2 and give s.\nAnswer: -19027","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 14 (c) 3\/2 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**3\/3 + j**2\/2 - 5*j - 257. What is n(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14594 smaller than -58377\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzrzrzz. What is prob of sequence zz?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 + 3*y**2 - 1055*y**3 + 1160*y**3.\nAnswer: 105*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (0 + (-8 - (-8 - (-2 - 2))))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 5*b**2 - 6*b + 1. Let k(o) = -o**2 + 24*o + 75. Let y be k(27). Let g be m(y). What is the highest common factor of 8 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/3*18\/(-12). Suppose 2*t = -w*t. Suppose t = 3*m + 2*r - 42 + 10, 2*m + r = 21. What is the greatest common factor of m and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 947385 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**4 + 3932*m**3 - 31784*m**2?\nAnswer: 48*m + 23592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -6) + (-4 - -35) + -16 + 4.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 343 = 338. Let q = 228 + -2054\/9. Let t = -0.032 - -0.032. What is the nearest to u in -1, q, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 516 = -4*y, -4*y = -m + 47 + 72. Suppose 2*t - m - 53 = 0. Let x = 3961 - 3938. What is the remainder when t is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -6*a**2. Let f(y) = 2. Let h(s) = 174*s + 3. Let t(n) = f(n) - h(n). Give t(w(p)).\nAnswer: 1044*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gm when two letters picked without replacement from {b: 1, g: 2, e: 2, t: 1, y: 2, m: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f. Let l(d) = -5*d + 1. Let j(i) = 3*l(i) - 8*w(i). Let x(v) = -v**2 - 4*v + 7. Suppose 0 = -s, 2*s = 3*o - o + 12. Let q be x(o). Give j(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*v + 225 = -370 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 8*r**2 + 6*r + 17. Let v be q(7). Let h = 25 - v. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 25 + 3. Suppose 0 = -5*b + 4*b + 3. Suppose q - 7 = 2*i, 4*q + 2*i + b = 1. Calculate the highest common factor of q and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 - -99. Suppose k = w + 8. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-7)\/3)\/(1\/6). Let l = b - -9. Suppose -2*c = -2*t, 0 = -5*t - 74*c + 70*c + 18. Sort 6, t, l.\nAnswer: l, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2842621.\nAnswer: 17, 167213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -24752a (base 11) in base 16?\nAnswer: -5f5dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 677 + -343. Suppose 8*c = 210 + w. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3162 + -3073. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*k*q**2*w**3 - 8*k*q*w**2 + 4*k + 6*q**2*w**3 + 2*q**2*w**2 + 2*q*w**3 wrt q?\nAnswer: -22*k*w**3 + 12*w**3 + 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3*sqrt(76) + sqrt(76) - sqrt(76) - sqrt(76))*-5)\/(sqrt(16)*-3 - (sqrt(4) - 3*(sqrt(64) + sqrt(4) - sqrt(4)))).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2ac (base 14) to base 5\nAnswer: -4134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) -0.1 (c) 2.6 (d) -7 (e) 6 (f) 14\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2255, -4745, -7609, -11033, -15203, -20305, -26525?\nAnswer: -34049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1054012388 to the nearest integer?\nAnswer: 32466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5*p - 10. Suppose -g + 5*t + 13 = 0, 39 = -4*g - t + 7. Let k be l(g). What is the greatest common divisor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 + 3*n + 5. Let c(f) = -11*f - 1. Let l(g) = 10*g + 2. Let t(d) = 3*c(d) + 2*l(d). What is the remainder when p(-5) is divided by t(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 695 + -694. What is the third smallest value in 14, 1\/6, f?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6153, 6100, 6047, 5994, 5941?\n\"Answer: -53*u + 6206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0. Let s be (-21)\/(-105) + 21\/(-49) + (-2466)\/(-70). Solve o = 2*q + j + 2*j + 19, -5*q - 5*j = s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 796796600?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 38\/(-2)*14\/((-252)\/18). Solve -s = j - 5*d, -4*j + 5*j - 3*d + 11 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332, -650, -984, -1340, -1724, -2142, -2600, -3104?\nAnswer: -3660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13696 minus 6.24623022?\nAnswer: -13702.24623022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.3 + -2.2. Let z = 5.2 + k. What is z rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 8*l + 9. Let h be n(10). Let z be h\/(2 - 18\/8). Suppose f - 127 = 4*t, 3*t = f - 86 - z. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -5 (c) 0.12 (d) 15\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 22 = 25*h - 22*h, -5 = 5*h - 2*s. Let u be 6\/(-9)*(h + -7). Let -3\/8*o**u - 3\/4*o + 3\/8*o**2 + 3\/4*o**3 + 0 = 0. Calculate o.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1bdc (base 15) to base 13\nAnswer: -29ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2904))\/(sqrt(8) + -1*sqrt(512)).\nAnswer: -22*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + d - 27. Let i = 79 + -85. Let f be j(i). Solve 0 = f*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 1:59 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4755700 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1076 (b) -12 (c) 0 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.3 + -1.3. What is the closest to -0.2 in d, 0, 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3 = 5*t, -2*t - 8 = 2*q - 20. Let z(s) = -2 + 0 + 0 + t*s**2 + 4*s + s. Is z(3) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 12. Let o = 7 + -3. Let t(k) = k**3 - 21*k**2 + k - 21. Let j be t(21). Which is the closest to -1? (a) n (b) j (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9508 - 4606 = -1140*n - 1039*n + 7676 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -5, -22271 in decreasing order.\nAnswer: 0.2, -5, -22271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -23. Let k(t) = -t**2 + t. Let i(p) = 6*p**3 + p**2 - p + 3. Let r(w) = u*k(w) + 4*i(w). Differentiate r(n) wrt n.\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14007 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1230 = 2*w - 6*w - 5*y, -4*y - 907 = -3*w. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 3 + 2*o)*(3 + 6 + 3)*(0 - o + 0).\nAnswer: -24*o**2 + 36*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64) + sqrt(64)*-3 - sqrt(64))\/sqrt(2))**2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -336663.837067 + 336664. Let k = v - 0.163. Round k to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 790138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 5\/36*l**4 + 0*l**3 + 0 - 28*l**2 - 1\/15*l**5 + 1\/180*l**6 + 0*l. Solve r(z) = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 27*p**3 + 3*p**2 + 1. Let f(u) = 3*u**3 + u**2. Determine 4*f(i) - s(i).\nAnswer: -15*i**3 + i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 2*s - 56, 3*s = r + 39 - 3. Let l = -17 - r. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4613 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3384?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/(306\/1))\/(36\/8 - 4)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2005, 4, -5 in decreasing order.\nAnswer: 2005, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168664 is divided by 305?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 g when two letters picked without replacement from gyyggyvgyggyyvgy.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a + 3*a + a**2 + 3*a**2 + 0*a**2 - a**2 + 3 - 3 + 2*a**2 + (0*a**2 + a**2 + 0*a**2)*(3 + 1 - 2) in the form n*a + m + u*a**2 and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 8 = o. Suppose 22 + 0 = o*j. Suppose 246*q = 229*q + 1309. What is the highest common factor of j and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 2*d + 26. Determine j(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 669*s = -12038 - 25426 for s.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 60 (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6*g. Let t(w) = -10*w**2 + 57. Determine i(t(m)).\nAnswer: 60*m**2 - 342","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 58636928 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11926, -12248, -12568, -12886?\n\"Answer: s**2 - 325*s - 11602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 189, 241, 293, 345?\n\"Answer: 52*c + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 58*w - 8 + 21 - 16*w + 20*w.\nAnswer: -54*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/((-90)\/(-1857)) - (-35)\/(-210). Let c = 214 + -315. Let q = c + g. Solve 5*w + 24 = -v, -q*v = 4*w - 3*v + 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*a + 59*a + 4*l = 6263, -6269 = -5*a - 2*l. Calculate the highest common divisor of a and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvsvsvvsjsjjvrsxvv. What is prob of sequence sss?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-276)\/46*902\/(-3)?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 14288019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 6:17 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 78\/35, -1, -2\/3, -1\/3.\nAnswer: -1, -2\/3, -1\/3, 78\/35, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 86*j - 11955. Determine f(158).\nAnswer: 1633","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a + 135 - 175 = 0. Sort 2, -5, 66, a in descending order.\nAnswer: 66, 2, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17 and 0.063?\nAnswer: 17.063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 821*m = 496*m - 2250*m + 247200 for m.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f**3 - 2*f + 2*f)*(91*f - 71984 + 71984).\nAnswer: 273*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 4. Let g(s) = -s**3 + 7*s**2 + 20*s - 15. Let p(k) = k**3 - 4*k**2 - 2*k - 6. Let z be p(5). Let q be g(z). Solve -t - q + l = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3))**(-2\/39)\/((a\/(a*a*a**(-5\/3)))\/a**(-7)) assuming a is positive.\nAnswer: a**(-893\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*15)\/(30\/8000). Let v be (s\/(-15))\/(2*2\/3600). What is v rounded to the nearest 10000?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.47942 and -0.2.\nAnswer: 0.095884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + (-49 + -7)\/(-8). Solve 2*u - d + 10 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 6:14 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pnpppnnpnppppnnn. Give prob of sequence nn.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -909 - -1830. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + n - 62 = 0, 188563*n = 2*x + 188564*n - 13 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-2))**(-8\/9) assuming m is positive.\nAnswer: m**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**3\/5 - 381*x**2\/10 - 302. Factor g(b).\nAnswer: 3*b*(b - 127)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g + 61*g - 2*g**2 - 36*g - 10*g - 4*g + 11*g.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 + 209\/(-33))\/((-2)\/15). Let h be (k - -4)\/((-1)\/121). Let p = -8 + 19. Calculate the greatest common divisor of h and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1378*d*p**5 + 216*d*p**2 - 16018*p**5 + 63477*p - 2 wrt p?\nAnswer: 82680*d*p**2 - 961080*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 52\/3 of a hour?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/2269247 and 5\/49923434?\nAnswer: 49923434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6a + 1a9?\nAnswer: 13a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 801344 and 20672.\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 2)*(4 + 5 - 3)*(-5*x + 2*x + 0*x + (1 - 1 - 2)*(-4*x + 6*x + 0*x) + 3 - 3 - x).\nAnswer: 48*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - q - 7, 5*q - 13 = -90*n + 86*n. Which is the nearest to -1? (a) -0.5 (b) 0.02 (c) -1 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*n = -15, 0*v - 5*n = 3*v - 24. Put v, -1, 4, 2 in decreasing order.\nAnswer: 4, v, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 7 + d**2 - 2*d**2 + 0*d**2 - d + 7*d. Let l = 81 + -76. Is x(l) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4003634, -8007794, -12011954, -16016114, -20020274, -24024434?\n\"Answer: -4004160*r + 526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 369 + 390?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 + 6*y**2 + 6*y - 6. Calculate the smallest common multiple of c(-4) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*a = -97*a. Is a >= -1\/941?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3045 and 309981.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 14*r**2 - 26*r - 21. Let g be k(-12). Let b(h) = -19*h**2 + 3*h - 5. Let l be b(g). Let n = l - -281. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 0. Let h be (1 - 0)*(8 + x). What is the smallest common multiple of (2 + h\/(-3))*-6 and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 333, 661, 989, 1317?\nAnswer: 1645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29.5 - 7. Let h = q + -22. What is the closest to 1 in 0, h, -1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**2 - 453756*l - 453758 = 0. Calculate l.\nAnswer: -1, 226879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 5*r**2 - r + 3. Let c be z(5). Let h be 13 + (6 + 0)\/c. Solve -h = -5*q - 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -974*b - 68*b + 43764 for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 19. Let f be g(15). Solve 0 = -f*i - q - 12, -5*q = -2*i - 2*i - 36 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 18*o + 10. Suppose 0 = j + 19 - 1. What is the tens digit of s(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -98. Let c = w + 170. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n**3 - 3*n**4 + n**4 + 0*n + n + 5*n**4 - 2*n**2 as b*n**4 + a*n**3 + y*n**2 + q + v*n and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 568712452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -7446*w - 17051343. Calculate b(-2290).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 5*r**2 + 4*r. Let i be w(-4). Suppose -3*a + 8*a + 235 = 0. Let t = a - -143\/3. Which is smaller: t or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17865089 and 3036.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -54*j**2 - 3249*j - 10. Let p be r(-60). What is the greatest common divisor of 19345 and p?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8891999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3))**(-8)*(j\/(j\/j**(7\/2)))\/j**(-7))**12 assuming j is positive.\nAnswer: j**414","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * 0.19.\nAnswer: -0.0152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 51 times 4\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6510 - 17585 = 5*v. Is (-56)\/(-98) + v\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41\/119 - -1\/17. Suppose -v + 5*p = -3, 0 = -0*v + 5*v - 4*p + 6. What is the closest to v in 5, 3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 628\/19 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**3 - 12*p**2 - 26*p + 9. Calculate the remainder when w(-4) is divided by 60.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**4\/3 + 3454*a**3\/3 - 770732*a**2\/3 + 1500160*a = 0. Calculate a.\nAnswer: 0, 6, 256, 1465","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10262 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 5 = j, 3*j + 827814 = 827808 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*m + 576 = -66*m + 42*m. Suppose -55 = 3*u - 379. Calculate the greatest common divisor of u and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3172 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-22)*6*20416\/(-41760).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 7:12 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of n**5\/60 - n**4\/8 - n**3\/3 - 13*n**2\/2 - 1. Let j(h) be the second derivative of a(h). Let v = 17 - 12. What is j(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 12 + 18. Let l be (-3 - -2) + (1 - -5). Suppose -4*n - l*n**3 + 3*n**3 - g*n**2 - 6*n**3 - 2*n**4 = 0. What is n?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2\/w)**(-11) assuming w is positive.\nAnswer: w**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.44 + -1.44. What is the third smallest value in -0.08, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.80229l to millilitres.\nAnswer: 87802.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 60, 98, 158, 246?\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44 - -3214?\nAnswer: 3261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r - 7. Let v be g(8). Let w(y) = -y**3 - 7*y**2 - 4*y + 16. Let o be w(-7). Let s = o + v. Solve -s*a - 22 = -2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**3 + 3*w. Let j(p) = -2*p - 10. Let s(u) = -u - 4. Let x(y) = 2*j(y) - 5*s(y). Give x(t(c)).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/3)\/i)\/i**(-2\/13))\/(i**(-2\/9)*i*i*i**(3\/5)*i)*i*i\/i**8*i*i**(-2\/3)*(i**(2\/3)\/i)**(16\/3) assuming i is positive.\nAnswer: i**(-7216\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**5\/20 + 637*h**4\/16 - 44943*h**3\/4 + 9391383*h**2\/8 + 9663597*h\/2 - 241. Solve i(l) = 0 for l.\nAnswer: -2, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.6*-0.62\nAnswer: -0.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*r + 18*r + 2695 = -20*r. Solve 6 = 244*y - r*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*h - 27, 26 + 4 = 5*g + 5*h. Suppose -3*i - 3*y = 2*i - 36, 3*y + 18 = 4*i. Suppose -k - 60 = -i*k. Solve -d = -g*d - k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -26 + 1. Let m(h) be the first derivative of -u*h + h + h**2 + 1 + 1 + 0*h + 2*h**3. Factor m(k).\nAnswer: 2*(k + 1)*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89244 is divided by 87856?\nAnswer: 1388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/467?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24\/311 - -16339\/1866. What is the common denominator of ((-1)\/(-15))\/(17\/68) and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45753?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*h**4 - h**3 - 8598*h**2 + h - 78312529 wrt h.\nAnswer: -300*h**2 - 6*h - 17196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*j**4 - 8*j**2 + 76*j - 119*j**4 + 0*j**2 - 33*j - 36*j to the form h*j**3 + n*j + y*j**4 + b + u*j**2 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28\/(-70) - 122\/(-5) is divided by 2\/(-6) + (-80)\/(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 9:43 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3*g)*(14*g - 56 + 56) + 13*g**2 - 18*g**2 + 14*g**2.\nAnswer: 51*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -38*v + 1258. Let l be m(33). Let d(w) = w + 9. Let g be d(-5). Suppose 0*n + g = -3*n + x, -4 = 2*n - 2*x. What is the closest to -1\/3 in n, l, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3915 and 18.\nAnswer: 7830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9\/38*(580\/5220)\/(1\/3)\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 times -6325\nAnswer: 56925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 61258 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: Find the common denominator of 5\/9 and 9\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 1. Let k(m) = -m - 3. Let z = 12 + -14. Let x(i) = z*t(i) - k(i). Is x(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1507 and 1076.\nAnswer: -162.1532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b**3 - 3*b**2 + 3*b - 48. Let z(h) = -6*h**3 - 4*h**2 + 4*h - 48. Suppose 0 = v - 7, 2*o + 124 = 5*v + 95. Give o*z(r) - 4*w(r).\nAnswer: 2*r**3 + 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 28866800 to the nearest one million.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4. Let t(r) = 2*r + 2. Let o be (-3)\/9 + (-2 - (-57)\/9). Determine o*t(l) + 2*d(l).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwnwwwnwwnwww. What is prob of picking 1 w and 1 n?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 69.058 + -0.058. Let p = 1972310.00188 - 1972241. Let u = w - p. What is u rounded to four decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**2. Let t(p) = -p + 9. Let u be t(7). Suppose 4*q - u = 3*q. Let r(c) = c**2 + c**q + 0*c**2. Give r(s(l)).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 1525931*o - 9155582. What is i(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 454.3 - 422.61. Round a to the nearest integer.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -210 + 208. Which is bigger: v or -164?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*z + 1 + (3 - 1 + 0)*(z - 1 + 1) - 4*z + 2*z + 4*z)*(8 - 6 - 9)*(4*z - 3*z - 4*z) to t*z**2 + j + q*z and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(24\/414) - (-4)\/(-1). Which is smaller: p or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*b - 5*b + 2*b)*(b + 5*b + b) + 0*b**2 - b**2 - b**2 as x*b**2 + k + q*b and give x.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*6\/(-9)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/3 of a year in months?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 151401321 and -0.3?\nAnswer: 151401321.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -7*k + 4*k + 5, r - 13 = -3*k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3 + 45960722*z**2 = 0. What is z?\nAnswer: -22980361, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/10)\/((-2)\/(-4)). Let b be (65\/60 + -1)\/((-3)\/(-9)). Sort 3, b, m.\nAnswer: b, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -87*i**3 + 21*i**2 + 60*i + 28 wrt i?\nAnswer: -522*i + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*m - 222*m + 2564497 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqhh when four letters picked without replacement from {h: 3, q: 9}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 211 - -1d254?\nAnswer: 1d465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -148 or -153?\nAnswer: -153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 447, 1064, 1943, 3090?\nAnswer: 4511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 13*s - 6. Let g be w(-13). Which is smaller: g or -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -441577?\nAnswer: 441603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0909 and -0.01.\nAnswer: 0.0809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 396 + -66. Let k = 343.16 - m. What is k rounded to zero dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/265245?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*b - 4*b + 24. Let w be (-15)\/b*(-14)\/(-5). Calculate the highest common factor of w and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*j**2 + 428*j**2 - 213*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4) - 2\/(-4). Suppose -2*i - 3*j + 101 = y, 5*i - 5*j - 348 + 108 = 0. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, z: 2, g: 2, r: 1, u: 2, n: 2}. Give prob of picking 1 n and 1 r.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5*a + 590, 4*a + 4*r - 504 = -56. Suppose -3*y + 799 = -u, -u - 150 = -y + a. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*j - 48, 0 = -7*j + 3*j + 5*m - 63. Let r(q) = -11267*q**3 + 18 - 11269*q**3 - 16*q - 11253*q**3 + 33788*q**3 - 18*q**2. Calculate r(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5e + 1?\nAnswer: 5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 - -9)\/((-1)\/(-1073)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 + z - 2. Let u be t(-2). Suppose -b = 4, -3*b + 6*b = u*v - 24. Solve -v*q = -5*q + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1515764722?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 10, 23\/3, 7129?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/9 (b) 1\/59 (c) -0.3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 545139213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d**2 - 4*d + 73. Let j(k) = 11*k**2 + 6*k - 148. Let f(n) = -6*j(n) - 13*y(n). Let q be f(7). Solve 0 = 2*t - v - 9, v = -v - q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/10 + (-2)\/24*26.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/((h*(h*h**(-3\/8)*h)\/h)\/h))\/h)\/h)\/h**(-2\/23))\/(h*h*h\/(h*((h*h**(1\/2))\/h)\/h)*h)**(30\/7) assuming h is positive.\nAnswer: h**(-3043\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3803 is divided by 3458?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.44 - -3?\nAnswer: -10.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -30 + 14)*(-1)\/44?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**2 + p - 11. Let a = 65 + -57. Suppose -3*s - 25 = 5*x, -x - a*s + 3*s = 5. Let l be t(x). What is the greatest common factor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35\/6? (a) 0.13 (b) 1\/6 (c) 2\/17 (d) -1 (e) 1.16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16066791*v**4 - 251180222 wrt v.\nAnswer: -64267164*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 - 18 = -20*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -492*s + 4815 + 4070 + 4833 = -131*s for s.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3638657962?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 76 + 25 = c - 23, 2*c = 3*u + 51 + 35 for u.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (19 + -19)\/((-3)\/(2 - -1)). Solve -q = 5*v + 29, -6 = 4*q - 2*v - y*v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-8)\/(z**(-7\/4)*z))\/(((z**2\/z)\/z)\/(z\/((z**2\/z)\/z)*z)))**(-50) assuming z is positive.\nAnswer: z**(525\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 5:34 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**3 + 1040*j**2 - 69108*j - 10613376 = 0.\nAnswer: -288, -83, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**6\/24 - k**5\/30 + 5*k**4\/24 + k**3\/3 - 6*k**2. What is l in n(l) = 0?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -23 + 22.1. Let y = 0.8 + u. Let i = -1.1 - y. Which is the closest to i? (a) -0.1 (b) 1 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2017 and -5370?\nAnswer: 10831290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/(-25))\/(3\/(-105)). Let f be (-98)\/d*(-9)\/6. Let p(i) = -7*i + 1. Let n(y) = -8*y + 2. Give f*p(j) - 6*n(j).\nAnswer: -j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 24*f**2 + 42*f - 56. Let j be s(-22). Let d(q) = -2*q**3 - 17*q**2 - 29*q + 17. List the prime factors of d(j).\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 0*g**2 + 10*g + 0 + 7\/12*g**4 + 0*g**3. What is b(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2540671 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -1\/295 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/1)\/(((-47115)\/(-486))\/(-349))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 314, 1, -4, 6, -22 in decreasing order.\nAnswer: 314, 6, 1, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*y = -57*y + 26*y - 244. Let m(h) = 13*h**2 - h + 1. Calculate the remainder when y is divided by m(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/(-9) - 1*(-2)\/6. Suppose -2*c - o*c + 20 = 2*y, 0 = -5*y - 2*c + 8. Solve -2*r - 10 = 0, -2*r = -n - y + 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120126807 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 b(m) = m**2 - 16*m + 24. Let o be b(14). Let c(j) = -j**3 - 15 - 4*j**2 + j**2 - 8*j - j**2. What is the tens digit of c(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-18)\/30 - (-886)\/10. Calculate the greatest common factor of 11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 69 = 13*o, -305*t - 2*o = -302*t - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/721 and -111\/4532.\nAnswer: 31724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + k = -8, -4*k = -5 + 25. Solve -5*s = -2*s - t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i. Let s(j) = 14713*j**2 + 5*j - 10. Let w(v) = -581163*v**2 - 198*v + 396. Let t(n) = 198*s(n) + 5*w(n). Calculate t(r(l)).\nAnswer: 29436*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2734\/(-14) - 6\/(-21). Let d = -107 - w. What is the remainder when d is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-37)\/3034)\/((-2)\/8*-10 - 3).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (8181 - 0) + (-23)\/((-1265)\/(-66))*5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*a - 140 = -35*a. Is a a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v**2 + v**3 - 3*v**2)*(10 + 17 - 30)*(-2*v - v + 2*v) in the form j*v**4 + h*v**2 + q*v**3 + x + l*v and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 284 minutes before 1:33 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 18. Let z(g) = g**3 + 3*g**2 + 2*g + 3. What is the units digit of z(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of 2423*z**4\/2 - 2020*z**2 - 482. Find the second derivative of v(u) wrt u.\nAnswer: 29076*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 4 - c + 3*c - 3*c. What is x(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 3 + 3 + (-5 + 4 + 0)*(-u - 4*u + 3*u))*(504*u - 1161*u + 981*u).\nAnswer: 324*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2787)\/(-132847))\/((-45)\/99).\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v - 1. Let d(s) = -s. Let y(a) = -13*d(a) - 6*z(a). Let k be y(7). Let o = -8 + k. Solve -4*u + o = 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1346 times -0.89?\nAnswer: 0.119794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7633224*u**3 + 7319*u + 130 wrt u?\nAnswer: 45799344*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 32, 29, 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -759*c**3*s**2 + 9*c**3*s - 2*c**2*k*s + 2*c*k*s**2 - 5*c*s**2 - c + 2*k*s**2 - 40*s**2 wrt c?\nAnswer: -4554*c*s**2 + 54*c*s - 4*k*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 9. Suppose -3 = q - m. Suppose 44 = q*s + 2*p, -4*s = -5*p - 13 - 39. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -195903.1 times 0.454\nAnswer: -88940.0074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/251, -0.1, 0.2, 0.5 in increasing order.\nAnswer: -0.1, -5\/251, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o**2 - 6*o + 3. Let q be m(0). Solve q*j - 232 + 217 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36444, -72879, -109312, -145743, -182172, -218599, -255024?\nAnswer: -291447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrryryryrrrrrrr. What is prob of picking 2 y and 2 r?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qckckkc. What is prob of picking 2 c and 1 q?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 30 + -3127073?\nAnswer: -3127043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4038961882 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (54\/(-12))\/(1\/(-4)). Suppose -q = -6*g - 0*g. Let f(x) = 7*x + g*x - 9*x. Let t(r) = 15*r. Calculate t(f(h)).\nAnswer: 15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 - -65. Let n = 6.719 - 6.759. Sort 2\/23, i, 1\/5, n in decreasing order.\nAnswer: i, 1\/5, 2\/23, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2 - 7. Let v be (-1)\/1 + k\/(-4). What is the closest to v in 1\/8, 1\/5, 3\/4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**4*s + 102*p**4*y - 3*p**3*s**2*y - 23*p**2*s**2 - 2*p*s**2*y - 2*p*s*y wrt p.\nAnswer: -48*p*s + 2448*p*y - 18*s**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2009 a factor of 76673485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 733*j - 144*j - 338*j - 3*j + 0*j + 2*j - 2*j - j + j - 2*j + 4 - 4 + (-1 + 4 - 5)*(j - 5 + 5) + j + 3 - 3 - 4*j + 0*j + 3*j.\nAnswer: 244*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*p + 59 = -s, -5*s - 53 = -p. Let d = 12 + s. Let f(l) = 169*l. Is f(d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 32*n - 453 + 540, 5*n - 16 = f for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -305, -599, -905, -1229, -1577, -1955, -2369, -2825?\nAnswer: -3329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 25*r**2 - 5*r - 1. Is d(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 22528?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29415 - -29414. Which is the second biggest value? (a) 0.078 (b) x (c) 6 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/30*((-12)\/(-63))\/(64\/(-144)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b. Let c(f) be the second derivative of 3*f**3 + 3*f**2 + 1153*f + 2. Give c(z(t)).\nAnswer: 18*t + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 7*d. Let m(n) = -109*n + 0*n**2 - n**2 + 109*n. What is w(m(y))?\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 509*y. Let t(b) = -43*b - b + 46*b. What is t(q(n))?\nAnswer: 1018*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - x + 4 = -l, -l - 5*x + 20 = 0. Solve l = 5*q - 5*d + 40 - 10, 0 = 2*d - 2 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 992796 + -8935162\/9. Suppose y*j**3 - 14\/9*j**2 + 0 + 20\/9*j = 0. Calculate j.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3.05. Let j = -0.05 + n. Let r(a) = -a**3 - a**2 + a. Let p be r(1). Put 3, p, j in decreasing order.\nAnswer: 3, j, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 22 + -1 + 0 + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 141018 + 115\nAnswer: 141133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/24360?\nAnswer: -1\/24360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 348128 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (19 + -27 - 7).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12768478 divided by 12768478.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 + 14*d - 4. Give v(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(242) + ((sqrt(242) - (sqrt(242)*3 + 4) - sqrt(242)) + sqrt(242))**2 + -2*(sqrt(242) + (sqrt(242) - (sqrt(242)*-3 - sqrt(242))))**2.\nAnswer: -16440 + 187*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j - 1. Let t be h(1). Let b(k) = -5*k**2 - 2*k + 7. Let m(r) = 11*r**2 + 4*r - 15. Let a(y) = 13*b(y) + 6*m(y). Give a(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 125443 - 125443 + 15381*m in the form t*m + v and give t.\nAnswer: 15381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -1\/6, -0.598, -3.7 in descending order.\nAnswer: -1\/6, -1\/2, -0.598, -3.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 293 = -122. List the prime factors of l.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 51\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - 5. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and -3*((-24)\/45)\/(1\/40).\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-104)\/(14\/(-6) - (-9)\/27). Calculate the greatest common factor of t and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 16466?\nAnswer: 3\/16466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*p + (7 - 5*p - 7)*(3 + 0 + 4))*(-2*p**2 - 2*p + 2*p).\nAnswer: 74*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*-4*(sqrt(78) + sqrt(78)*-1 + sqrt(78) + sqrt(78)))\/(sqrt(1200)\/sqrt(8)*-1).\nAnswer: -1 + 24*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0\/i)**39\/((i*i\/(i**(-6\/11)*i))\/((i\/i**(-1\/3))\/i)) assuming i is positive.\nAnswer: i**(-1327\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 28 = 2*t. Let y = -14 + t. Solve -n + y*u + 6 = 3*u, 3*n = u + 14 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50856998.24 to the nearest 1000.\nAnswer: 50857000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/3 (b) 0.03 (c) 0.6266 (d) -2\/5 (e) 0 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -a + 5. Let h = 18 + a. What is the second derivative of 39*z + 7*z**3 + 17*z**3 - h*z**3 - 52*z wrt z?\nAnswer: 96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 11*k - 10 + 0*k - 3 - k**2. Let c be y(9). Find the third derivative of 10*v**2 + 6*v**5 + 9*v**c - 15*v**5 + 13*v**6 wrt v.\nAnswer: 1560*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 531*a + 1888. Is v(101) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 552*q - 556*q + 90, q - 44 = -q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2437201772?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**3\/7 - 11104*b**2\/7 - 15367840*b\/7 + 123654400\/7 = 0.\nAnswer: -2780, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus -36257.372990322?\nAnswer: 36257.372990322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -37. Suppose 2*c - 4*c = 0. Factor -4*i**q + c*i - 4*i + 2*i**2.\nAnswer: -2*i*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-1 - -25)*(-2 - -90) + 36\/6.\nAnswer: 62\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 2*k**5 + 30*k - 30*k + (-2*k**4 + 2*k**3 - 2*k**3)*(0*k + k + k) + 2*k**5 + 0*k**5 - k**5.\nAnswer: -5*k**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*5988.\nAnswer: -17964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/1 + -1 + 95394\/3669?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**3\/5 - 112*p**2\/5 + 992*p\/5 - 2048\/5 = 0. Calculate p.\nAnswer: -64, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of o**5\/60 - 5*o**4\/2 + 187*o**3\/3 - 311*o**2. Let b be f(53). Let 5\/2*w - 5\/4*w**4 + 5*w**b + 0 - 25\/4*w**2 = 0. Calculate w.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2000))\/sqrt(10).\nAnswer: -10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1219 + 6744 = -114*y + 1237 for y.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*200\/(-350) + (-98)\/(-25).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3235732?\nAnswer: 2, 23, 35171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -11*j - 5. Let d(w) = 10*w + 5. Suppose -r - s = -6, s - 6 = -s. Let v(g) = r*o(g) + 4*d(g). Find the first derivative of v(x) wrt x.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50072880 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 173*p. Let o(l) = 3320*l. Calculate a(o(u)).\nAnswer: 574360*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 82103.91 grams?\nAnswer: 82.10391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, b: 1, f: 1, r: 1, c: 1, d: 2}. What is prob of sequence bif?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -0.2 (b) 12 (c) -2 (d) 1 (e) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.017 + -0.117. Which is greater: 6\/5 or n?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3705\/1696 + -240\/53. Find the common denominator of 25\/16 and b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2 = 0, 5*t = f + t + 296. Let w = -166 - f. What are the prime factors of w?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 229368?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/((-152)\/(-40) + -4). Let o(t) = 6*t - 9. Let a(d) = 11*d - 19. Let u(q) = -3*a(q) + 5*o(q). Let w be u(i). Sort w, 6, 0 in increasing order.\nAnswer: w, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*c - 8*c - 8*c**2)*(6 - 6 + 5*c) - 69*c**2 + 69*c**2 + 5*c**3.\nAnswer: -35*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -6, -9?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/((b\/(b\/b**(-1\/3)*b))\/b)*b\/(b**6*b))\/(b**8\/(b\/(b\/(b*b*b*b\/(b\/b**1))))))**(-31) assuming b is positive.\nAnswer: b**(620\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12541 + 32259 = -311*q + 1911*q for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 1)*(3 - 3 + 2*s + 5*s - 2*s - 2*s + (-1 + 2 - 2)*(-4*s - 2*s + 4*s) - 3*s + s + 4*s).\nAnswer: -35*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22.27 - 0.27. Let d = w - -14. Let z = 43 - d. Sort z, 5, -0.3 in descending order.\nAnswer: z, 5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3619*p - 25 = -3618*p. Let u(m) = -m**2 - 19*m + 141. Calculate u(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277 + 419 = -30*i - 548 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -186 + 193. Solve -4*r - 9 = g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 5*p = 275, 162*t = 149*t + 6*p + 413 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -14*f**3 - 3*f**2 - 20*f + 11. Let w(d) = -5*d**3 - d**2 - 7*d + 4. Let o = 80 + -84. Calculate o*u(t) + 11*w(t).\nAnswer: t**3 + t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*x, -m + 6*m + 5*x = -10. Suppose 2*j - 5*v - 142 = 0, m = 4*v + 7 - 15. What is the greatest common factor of 19 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 95, 203, 405, 731?\nAnswer: 1211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 821248 is divided by 272855?\nAnswer: 2683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 43169928?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11320332 (base 4) in base 11?\nAnswer: 17143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2973572)\/136*2\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 751, 740, 729, 718, 707, 696?\nAnswer: 685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*z, 0 = 5*x + 4*z - 5*z - 3909. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**5 + 15*q**4 - 15*q**3 - 35*q**2 + 30*q = 0.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 55411.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = i + 4*i. Suppose -5*f - 1 - 1 = -3*u, i = 2*u + 5*f. Let t be 1\/(((-2)\/4)\/(-1)). Solve 3*b = 2*q + 9, u*b + t = q + 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 + -11087967073183\nAnswer: -11087967073183.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 406126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 (base 4) in base 7?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 9:37 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -1\/3*t**4 + 4*t**2 + 0 + 5*t + 2\/3*t**3. Factor o(f).\nAnswer: -4*(f - 2)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 72699711?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n**3 + 86*n**2 - 22*n - 91. Calculate a(14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26130217.\nAnswer: 1019, 25643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51538\/5 + 10351. Which is smaller: a or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3\/2, -0.08184 in ascending order.\nAnswer: -4, -3\/2, -0.08184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/18 and -45\/218.\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19528*f**3 + 1 + 3 + 1 - 19531*f**3 + 5.\nAnswer: -3*f**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 71 - 71. Solve m = -5*h + 2*b + 10, -b + 10 = -h - 3*b for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((0 + sqrt(2736))*-5)**2.\nAnswer: -342000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.4 (b) 2 (c) -162\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-8 - -5 - ((-8 - -15) + -6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -7. Suppose -4*q + n = -3*q. Is 5 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4814 + 11790 = 168*m + 3836 for m.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*u + 164*u = 195. Solve -3*i - m + 3 = 0, 0*i = 2*i - 5*m + u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 142*k**2 + 4*k + 22*k - 144*k**2 as r*k + m + o*k**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 326704.4l?\nAnswer: 326704400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-117*i**2 - 2899 + 2899)*(-23*i + i**2 + 23*i) + (4*i + i - 2*i)*(-5*i**2 + 5*i**2 + i**3) to h*i + w + f*i**3 + d*i**4 + b*i**2 and give d.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -0.2 (c) -7 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -0.3. Let l = 22 + -21. Which is the closest to 0.1? (a) -2 (b) v (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*y + 18, -y - 14 + 2 = -5*v. Solve -2\/3*p**2 + 1\/3*p**v + 0*p + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 7*v - 31. Find the second derivative of -5*n**3 + n + 0*n + 2*n + v*n wrt n.\nAnswer: -30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -0.38084266?\nAnswer: 0.58084266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101110101001011001001 - 100110?\nAnswer: 11101110101001010100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -8 - 3) + -30 + 15.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**13*y*y**(1\/36))**(-11\/3))**(-25))**(-1\/35) assuming y is positive.\nAnswer: y**(-27775\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 9*q**2 - 20*q - 64. Determine i(-4).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 - t**2 + 2*t - 1. Give c(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from heeehceeeehehcheeee. Give prob of sequence cche.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 11:01 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m + 4. What is u(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (34 + -6 - 2) + -15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10*2\/8*(-293468)\/(-470). Suppose -199 = -11*d + w. Is d a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 162.627 + 0.373. Let r = 164 - i. Let x = -17\/21 - -1\/7. What is the closest to r in 0.3, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/(2\/(-16)). Suppose -1308 = 2*m - 0*m - 3*u, 654 = -m - 4*u. What is the common denominator of l\/(-42)*m\/8 and -47\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 19*a**2 + 47*a + 110. Calculate i(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 858*h - 2. Let p be y(-1). What is p rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bhqbxbbldhbhbqbbbb. Give prob of sequence xhq.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/4))**(-4\/5))**(-4\/15) assuming g is positive.\nAnswer: g**(-4\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 0.02 (c) -2\/309 (d) 44\/13 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**(3\/8)\/x)*x\/(x*x**(-18)*x) assuming x is positive.\nAnswer: x**(149\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 4*d + 68, 40 = -i + 3*i - 4*d. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 4*i - 0*i + 947, 3*p = -4*i + 2889. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 369963 and 101.\nAnswer: 369963","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0 + 9 = 0. Suppose -v = 3*r, 3*y - 4*y = r + 6. Let p(z) = -3. Let b(j) be the first derivative of -j**3\/3 + 4*j - 77. Give y*p(x) - 2*b(x).\nAnswer: 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -636\/59, -1\/5, -1\/8, -3\/2 in increasing order.\nAnswer: -636\/59, -3\/2, -1\/5, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**0*y)**(-24))**46 assuming y is positive.\nAnswer: y**(-1104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3 + 399\/9)\/8 and 181\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1212230 - -2110331?\nAnswer: 3323221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 181901 less than 181880?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 4:12 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, z: 17}. What is prob of picking 1 z and 2 j?\nAnswer: 17\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 188 - 183. Solve 0*m = -b*m - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a meter in centimeters?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k - 162 = -129 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 2. Let b be r(-4). Let d = b + 0. Let x(i) = 3*i**d + 3*i**2 - 4*i**2. Let s(y) = -4*y. Calculate s(x(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -770 - -1274. Let d = f + -500. Solve a - d*a = 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -493*f**4\/6 + 1101*f**2\/2 - 1479*f. Differentiate h(y) with respect to y.\nAnswer: -1972*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -2*w**3\/3 - 3*w - 2. Let x(q) = 2*q**2 + 4. Suppose 4*c - 1 - 26 = -5*z, -3*z = -c - 6. Calculate z*x(a) + 4*j(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/30529 + -3235843\/2350733. Let w = -9\/7 - z. Which is bigger: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 2*d + m, -2*d = 4*m - 5*m - 164. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/2 (b) -3 (c) 2\/5 (d) 1276 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 6 + 2)*(1 + u - 1).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 13 - 51*u + 17*u + 2 - 65*u + 6*u. Let a(l) = 3*l**2. Give r(a(o)).\nAnswer: -279*o**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 2 + (-5)\/5 + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**3*j**3 - 7717*a**3 + 413038*a**2*j**3 + 447*a*j**2 + 2*j**3 wrt j?\nAnswer: -18*a**3 + 2478228*a**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 - -20. What is the second smallest value in x, 2\/9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h - 4. Give v(-9).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ofdf when four letters picked without replacement from oodxf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0788 or 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21366 - 6?\nAnswer: -21374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddddddd. What is prob of picking 2 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4 - 27\/6. Let z(g) = -g**2 - 7*g. Let i be z(p). Let c(k) = -k**2 + 11*k - 5. Let h be c(i). Sort 0, h, -2.\nAnswer: -2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 25 = 4*q. What is c in c**4 + 15*c**3 - 20*c**5 + 8*c**4 - 8*c**2 + c + 4*c**q - c**4 = 0?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k = 6. Solve 4*d - k*n = 8 + 4, 6 = 3*n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 569 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: Evaluate (-42*(-12)\/48)\/((-6)\/(-8)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 483262 and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 43 - (-12 - 101)?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/(-12))\/((-2)\/8). Suppose -4*s - 3*q = -2*s + 456, 5*q = -o*s - 456. Let w = -162 - s. What is the remainder when w is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -7. Suppose 3*q - 5*v - 26 = 0, 4*q - 2*v - 12 - z = 0. Suppose -6*h - 3*a = -h - 53, q*a = 5*h - 48. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -4, 17, 5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*d**3 - 170*d**3 + 61*d**3.\nAnswer: -255*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.287199 take away 1?\nAnswer: -0.712801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 22. Factor -1\/2 - 5\/2*a**2 - v*a.\nAnswer: -(a + 1)*(5*a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1252866 divided by 24566.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -518*j - 7. Let x be (-216)\/63 - (-6)\/14. Let c be a(x). What is the remainder when 24 is divided by 2\/(-9) - c\/(-117)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2760 by -5.\nAnswer: 552","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -296*x + 2041*x + 1801*x - 445*x to u + y*x and give y.\nAnswer: 3101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1736 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 6*h + 2. Let b be n(6). Solve -4*w + b*i = 6, 3*i = -3*w - 2*w - 24 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 11740.8.\nAnswer: -35222.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3113 and 309319.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21, -5, -31, -57, -83, -109?\n\"Answer: -26*u + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, x: 4, p: 1, w: 1, r: 2}. What is prob of picking 2 r?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 276557?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/7, 4, 10?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**8\/672 - 11*d**7\/420 + 11*d**6\/80 - d**5\/24 - 25*d**4\/24 + 3*d**2 + 19. Find x, given that w(x) = 0.\nAnswer: -1, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 0*v**5 + 0 + 3*v - 1\/15*v**6 + 0*v**4 + 0*v**2 - 1\/21*v**7 + 0*v**3. Determine d so that u(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 24*z**3 + 2*z**2 - 4*z + 2. Suppose 0 = -3*k - 55 + 61. What is the tens digit of x(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j + 42 = -26*j for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -229*v + 3. Does 51 divide j(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, -0.08, -346.4, -34, 4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/15)\/((-4)\/80).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 + 8*i + 8. Let v(f) = -f**2 + 7*f + 7. Let g(n) = 5*v(n) - 4*x(n). Let y(r) = r + 1. Give g(h) - 3*y(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by 2\/(-6) - (406\/42 + -12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -28*m - 24. Let v be k(-7). Suppose -4*j + 383 = 4*f + f, 2*j - v = 4*f. List the prime factors of j.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/11))**(-1\/17))**(4\/5)*((d*d*d**2*d)\/(d*((d*d\/(((((d*d**6)\/d)\/d)\/d)\/d))\/d)\/d*d))**20 assuming d is positive.\nAnswer: d**(112192\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*f - 45 = 0. Let h(b) = b**2 + 6*b - 7. Is 10 a factor of h(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/((-1)\/2))\/1. Let s = o + 6. What is the greatest common divisor of s and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -252 - -255. What is the second smallest value in -7.3, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 3b?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 30*h - 21*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s. Let w(m) be the second derivative of -m**3\/6 - m. Let a(l) = -12*l. Let x(u) = -2*a(u) + 22*w(u). Give 7*o(i) + 4*x(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1 (b) -4 (c) 154220 (d) -0.01 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 122 divide 37942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/397 - -11504\/1191. Calculate the common denominator of 1\/42 and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.021536928744 to five dps.\nAnswer: -0.02154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 524998*b**3 + b**2 - 12780967 wrt b.\nAnswer: 1574994*b**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -20117539, -20117537, -20117535?\n\"Answer: 2*n - 20117541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 48, 0, 18, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**3 - 50*d**2 + 545*d - 850.\nAnswer: -5*(d - 5)*(d - 2)*(d + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12198, 50092, 113248, 201666?\n\"Answer: 12631*s**2 + s - 434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*t = -5*k + 11, -4*t = -8. Solve -15 = -k*m - 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3 + 888*l**2 - 2646*l = 0 for l.\nAnswer: 0, 3, 441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -57*a + 5. Let u(g) = 1936*g - 173. Let p(x) = -5807*x + 520. Let i(d) = 2*p(d) + 7*u(d). Let v(h) = 171*f(h) + 5*i(h). Is v(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 607 + -606. What is the biggest value in 3, -0.2, 25, a?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24356 is divided by 11071.\nAnswer: 2214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -4*u**6\/15 - u**5\/5 + u**3\/6 + 149*u**2\/2 + 31*u - 2. Find the second derivative of v(d) wrt d.\nAnswer: -96*d**2 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(-4)\/(-12 - 4). Let k(q) = -3 + 1 + n - q**3 + 2*q**2 + q + 4*q. Let o be k(3). Solve 4*y - 3*u - 15 = y, 0 = o*u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**4\/8 - d**2. Let y(m) = 10 - m - 10. What is s(y(q))?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*5980\/390.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 139*m + 13. Let j(c) = -2*c. Calculate i(j(r)).\nAnswer: -278*r + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -496 or 11?\nAnswer: -496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a**2 + 3 + a**3 - 3 + 2*a + 1 + 3. Calculate q(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-36)\/20 - -5 - 2\/10. Suppose -y*a + 3*o = -0*a - 18, 0 = 3*a - 4*o - 22. Suppose 0 - 7\/4*u**a - 1\/2*u = 0. What is u?\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 8*w**2 + 8*w + 12. Let y be q(-7). Solve -2*m = -3*m - y for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -3*m + 10*m. Let f be 6\/(-1)*((-9)\/m + 1). Solve 0 = b + f*b + 20 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.06 (c) 1\/7 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + l**2)*(-3 + 15*l - l**2 - 15*l) as q*l + n*l**3 + w + y*l**4 + s*l**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 - (-2)\/4*(9 + -9) and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-128)\/12 - -9)\/((-1)\/(-3)). Let g(y) = 178561*y**3 + 3*y**2 - 11*y - 5. Let v be g(h). Round v to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.583 times 664.247?\nAnswer: -387.256001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.16 - 1.06. What is the closest to 0 in -6, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3 = -51. Let i be (-80)\/60*l\/4. Solve -3*y + i = 18, k + y = -9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22393 and 787411?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-1)*(-4)\/20*(270 - 265)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**5\/20 + 3*i**4\/2 + 7*i**3\/3 - 29*i**2 - 2053*i. Determine t(-17).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 140 = 17*l. Let z = l + 36. Calculate the remainder when 12 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/47 + -51\/94. Which is the closest to 1? (a) -3\/5 (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34205930, 14, -1.\nAnswer: -1, 14, 34205930","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/6 and 6\/6529.\nAnswer: 39174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*t + 6253 = 0, -274*c - 3*t = -269*c - 6277. List the prime factors of c.\nAnswer: 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13220 - 110033?\nAnswer: -52413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 202. Let h(p) = 11*p + 197. Let j(q) = -h(q) + y(q). Determine j(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -50 - 7. Let d = -2380 + 2472. What is the remainder when d is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - 3*p + 6*p)*(-p + p**3 + p) + 4 + p**4 - 4 + (0 + 4 - 3)*(-18*p**4 + p**4 + 3*p**4).\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41 + -122 - 113) + 74?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38 + 8 + 40 - w**2 + 257*w**6 wrt w?\nAnswer: 30840*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 47 = 4*b, 3*b - 13 = -2*p + 4*b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -279\/907 - -5999\/13605. Let 0 - 2\/5*o**2 + v*o**3 + 4\/15*o = 0. What is o?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01377 and -0.401.\nAnswer: 0.00552177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 9*v**2 + 8*v - 6. Let d be x(8). Let b = 2 + d. Let i be (1 + 0)*b\/(-1). Solve q + i = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - -2) + 54 + -39 + -4?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 10*z**2 + 4*z + 5. Let h(y) = y**3 - 10*y**2 - 3*y - 4. Let d(w) = -4*h(w) - 3*l(w). Let x be d(10). List the prime factors of 3 + 3 + 3 - x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -182, 39856, 1\/2, 0.1.\nAnswer: -182, 0.1, 1\/2, 39856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*(5*(sqrt(308) + sqrt(308)*-2) - sqrt(308)))\/(-5*sqrt(7)*1*3).\nAnswer: -32*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 + 1852050*f + 7408248.\nAnswer: -3*(f - 617354)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -36, -75, -114?\n\"Answer: -39*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 688.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1052?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 144751736?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 114 + 71 - 16)*(16 + 2*n**3 - 16 - 4*n) as p*n + m + f*n**3 + v*n**2 and give p.\nAnswer: -696","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3714975.\nAnswer: 3, 5, 11, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 + 38*x + 316. Let z be d(45). Solve c = 3 + z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7609588*m*o**4 - m*o**2 + 33274*m*o + 9773*m wrt o.\nAnswer: -91315056*m*o**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/393850 and -59\/105?\nAnswer: 8270850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/1624773 and 13\/12507.\nAnswer: 17872503","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 541, 1971, 4747, 9307?\nAnswer: 16089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/3 + 75\/(-105).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 8 + 1 + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-440)\/(-16)*(1080\/75)\/(-18).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 45. Let x(o) = -14 + 4*o + 12 + o**3 - 3*o**3 + 12*o**u. List the prime factors of x(6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -8*d**2 + 7*d. Let t(w) be the third derivative of 7*w**5\/60 - w**4\/4 + 16*w**2. Let i(m) = 7*t(m) + 6*x(m). Let q(v) = 17*v**2. Calculate q(i(j)).\nAnswer: 17*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -13. Suppose 0 = 3*v - g*v + 8. Suppose -4*a - 13 = -5*q, q + 7 = v*a - 0*q. What is the greatest common divisor of 6 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Suppose y*j = j - 3. Suppose 0 = 3*i + 4*x - 24, -3*i - 39*x = -42*x + 18. Solve 5*k + 2 + j = i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2449.7 to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*y + 1 = 5, j = 5*y + 7. Suppose 3*q = l, -4*l = -0*l - j*q + 10. Let p be l*(3 - 1)\/2. Which is the smallest value? (a) -4 (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (7 - (-51)\/(-6))*4441866\/(-117)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1091968.\nAnswer: 2, 19, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 19 = 2*m, -a + 1 = -4*m + 3*m. Suppose 5*d = 7*d + 10, 5*i = a*d + 40. Differentiate i - 1 - 3 - 2*c**2 wrt c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 2:44 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003360893 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 0*n**2 - 3 + 8*n + 5*n**2 - 10 - 7 - n**3 - 6*n. What is q(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 60 = 5*m. Calculate the remainder when 52 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (-81 - -81 - (1 - -7)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -3*d + 15, 11*y = -4*d + 7*y + 24. Solve d*p + 24 = 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.9453 - -0.0547. Let z = -652 + 651. Let l = 0.07 - -0.23. Sort f, z, l, 0.2 in decreasing order.\nAnswer: f, l, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -72*u**6 + 22*u**2 wrt u?\nAnswer: -8640*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 5*n**2 - 5. Suppose q - i = -0*i + 27, -4*i = -2*q + 64. Suppose -60 = q*f - 10*f. Give x(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4))\/(18\/24)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of t**5\/110 - 82*t**4\/33 + 161*t**3\/33 + 326*t**2\/11 + 2*t - 2045. Determine j so that p(j) = 0.\nAnswer: -1, 2, 163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*u**4 - 3*u**4 - 4 + 0*u**4 - 4 wrt u.\nAnswer: -44*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**2. Let n(g) = 2*g**2 + 15160. Calculate n(q(m)).\nAnswer: 8*m**4 + 15160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fppiiiiybpipppfpi. What is prob of picking 1 p and 1 y?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (19 - 46 - -15) - -8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 + -8)*2 - 6. Which is smaller: -53\/2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6756 + 12084 = 1833*n - 263*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237264 = 937*i + 4006*i for i.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(2)*2)\/((sqrt(60) + (sqrt(60) - -2*sqrt(60)))\/sqrt(10)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-14)*100\/(-125)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4, 33, 108, 253, 492, 849, 1348?\n\"Answer: 4*r**3 - r**2 + 4*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 109098 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(80))*6 - 2*(sqrt(80) - sqrt(80)*-2))**2 - ((sqrt(4500))**2 + (sqrt(605) - sqrt(605)*1)).\nAnswer: -4464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127 + 132. Let c(w) be the third derivative of 0*w**3 + 0*w + 1\/80*w**j + 0 - w**2 + 1\/32*w**4. Find k, given that c(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 0*b - 2. Suppose -3*g = -5 - b. Find the third derivative of -2*d**2 - d - 3*d**6 + d + d**g wrt d.\nAnswer: -360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10721 + 10715 + 10688 + p**2 + 10723 - 42847.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((198\/(-12))\/(-11))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, c: 1, k: 1, t: 2}. What is prob of sequence qk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/((-8)\/2)*(-1 + 2). What is the remainder when 109 is divided by -4 + 2 + 108\/g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49806 equal to 331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*h - 3*s, -1 = -s - 5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 5:44 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 - (0 - -2))\/2. Suppose -a - r = -2*a. Suppose -4*k - n = -31, 3*n - 14 + a = -3*k. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 3*y + 8 + 10, -4*x = -4*y - 16. Let d be 34\/x + 8\/(-12). Solve z - 11 = 4*a, -3 = d*z - 4*z + 3*a for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooorototnttontntootn. What is prob of picking 2 o, 1 r, and 1 t?\nAnswer: 196\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1937, 1930, 1925, 1922?\n\"Answer: x**2 - 10*x + 1946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110346 = -7081*c + 11212 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6112750445?\nAnswer: 5, 8053, 151813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7817449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9370\/9 + -186617\/180. Let f = -245586 + 49608275\/202. Find the common denominator of f and u.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 + -90 + (-1 - 0) + -2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i. Let z be o(4). Let l(d) = d**3 - 5*d**2 + 4*d. Let b be l(z). Suppose -4 = -2*s - b*s. Solve 3*c + 5 = -s*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d + 20*d - 8*d.\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**2 + 5*w**2 - w**2)*(-2*w**3 - w**3 + 2*w**3) + (0*w**2 + 2*w**2 + 0*w**2)*(-4*w**3 - 7*w + 7*w) + 4*w - w**5 - 4*w.\nAnswer: -10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 23) + (2069 - 2059).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4660857, 20, 5, 4 in decreasing order.\nAnswer: 4660857, 20, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23\/18 or -19\/3426?\nAnswer: -23\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -101000000001 (base 2) in base 7?\nAnswer: -10316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1913.29 weeks?\nAnswer: 321432.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 3\/4*b**4 + b + 16 + 0*b**2 - 1\/3*b**3. Calculate o(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 31 = 5*n, 0 + 3 = p. Suppose -a + 27 = n*j, -5*a = -2*j - 2*j - 48. Does 2 divide 4\/a*3 - -9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/5)*d\/d**(-5))**(6\/17) assuming d is positive.\nAnswer: d**(198\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d = -20. Let k(x) = 8*x**2 + 6*x - 5. Let q(i) = 17*i**2 + 12*i - 10. Let r(h) = 13*k(h) - 6*q(h). Does 9 divide r(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.55 - -20.35. What is the closest to o in -0.4, -8, -2, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 2 - 2)*(-5 + 5 + z**3) - 17 - 7*z**4 + 17 - z**3 + z**3 + 8*z**4 - 3*z + z**4 + 3*z.\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 138678 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 112\/48 + 13\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -13*d**2 - 470*d - 70. Calculate a(-36).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -23*u - 2. Let k be s(-2). Let a = 14 + -14. Suppose r - 33 - 10 = a. Which is smaller: k or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1 - 5 + 3 + k. Let l(o) = o - 7*o + 2 + o**2 + 4 - 1. Give l(y) + 5*s(y).\nAnswer: y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2*i - 3*h + 3, -2*i + 18 = -2*h. Suppose 0 = -2*v + i*k + 4, 0 = -2*v - k + 14. Calculate the greatest common factor of 12 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -252, 1\/4, 463, -0.1, 0.2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 23*t**2 - 4*t - 2. Let r be v(-2). Let i = r + -74. Does 12 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + s - 20, 5*s + 6 = o - 2. Let k = o - 14. Let d(c) = -c**3 + 5*c**2 + 6*c - 2. What is the units digit of d(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rqiruqrrqiri. Give prob of picking 1 q and 3 i.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 923211787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 a when three letters picked without replacement from mmmmaammmmmmmmammamm?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 12.981. What is r rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/2, 2\/9, 0.3.\nAnswer: -1, -1\/2, 2\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*v - 15. Let c = 0.07 - 0.12. Let p = 0.05 + c. Which is smaller: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14193 or -2831?\nAnswer: 14193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/5 + (280\/(-50) - -9). Suppose -9*c = -o*w - 4*c - 5, 4*w = 5*c. Let y = 7 + -10. Sort y, w, -3\/2 in decreasing order.\nAnswer: w, -3\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -129 + 128. Let y be (-281*1\/2)\/(u\/2). Suppose -1111 = -8*f + y. List the prime factors of f.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjuwfyz. Give prob of picking 1 y and 1 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2. Let u(p) = -2116*p**2. What is j(u(y))?\nAnswer: 8954912*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**2\/13 - 31894*w\/13 + 36524920\/13 = 0.\nAnswer: -17020, 1073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + n = 6*n + 69, 2*n = 4*u - 54. Let r be 2\/(-6) - (-58)\/(-6). What are the prime factors of (u\/(-1))\/(5\/r)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 6*s**2 + 4*s + 3. Let m be x(5). Let v = 4 + m. Suppose v*q = -5*r + 6*q - 3, -5*q + 10 = 0. Sort -2, 5, r in decreasing order.\nAnswer: 5, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b**2 - 3*b + 2. Suppose 4*y + 0*q + 12 = -4*q, -4*q - 14 = 3*y. Let j be f(y). Let a = j + 8. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 27 + 7 = 0. Let b be 48\/32*h\/3. Let g be b\/12 - (-1495)\/(-30). Round g to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 3*w - 19, 3884*y - 4*w - 18 = 3881*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.29 * -0.1.\nAnswer: -0.529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m - 6*m - 7*m)*(-m**3 - m**3 + 0*m**3) + 0*m**2 + 0*m**2 + m**4 as f + b*m**3 + c*m**2 + x*m**4 + y*m and give x.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-6*sqrt(176)*-2*-1 + -3)**2 - (1 + (2*sqrt(176) + 3)**2 + sqrt(176) + 5)).\nAnswer: -98536 - 944*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - 2*s)*(9 + 13 - 6) as b + r*s and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.12*4.\nAnswer: -0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/((-3)\/((-6)\/4)). Let p(g) be the second derivative of -5\/2*g**2 + 31*g + 0 - 1\/6*g**3. Give p(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a millennium in centuries?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two sevenths of a week?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 - 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 246480.8um in centimeters?\nAnswer: 24.64808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3065101 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2927876252 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35978587457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94353 is divided by 113.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5380 and 2?\nAnswer: 5380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 3:35 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -218?\nAnswer: 21a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (12 + -30 - -84 - 22)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -36365?\nAnswer: 36372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2753971 + -1?\nAnswer: 2753970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-56*u + 97*u - 60 - 38*u)*(921*u - 6*u**2 + 7*u**2 - 919*u) to the form m*u**2 + s + q*u**3 + v*u and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 1 - 2 = -2*u, 3*u + 5*z = 14. Suppose -a + 32 = 5*x, -72 = -u*a - x - 2*x. What is the remainder when a is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 3:37 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12310 is divided by 76.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2780 is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -41, 18, 2, -1 in increasing order.\nAnswer: -41, -3, -2, -1, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 10:09 AM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -9635 greater than -48178\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 86*j**2 - 2*j + 2. Let h(f) = -2*f**2 + f - 3. What is -h(m) - i(m)?\nAnswer: -84*m**2 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 197\/1027 - 3\/79. Which is the fourth biggest value? (a) v (b) 5 (c) 0.4 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 i when three letters picked without replacement from {j: 2, e: 6, i: 1, x: 7, o: 1}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yrnnz. What is prob of picking 1 n and 1 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 24 = 5*h + 29, -4*h + 5*y = -29 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18242 divided by -1980?\nAnswer: -9121\/990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -527, -400, -263, -110, 65, 268?\n\"Answer: j**3 - j**2 + 123*j - 650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 4:00 AM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*z - 1, v = 5*z - 2*z + 4. Let s(m) = -m**3 + 3*m**2 + m - 2. Let u be s(3). Put u, 0.04, z in descending order.\nAnswer: u, 0.04, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 787 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, q: 1, a: 3, e: 5, f: 2, g: 7}. Give prob of picking 2 z and 1 f.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + w - 6. Let a be k(2). Suppose 0 = 5*j + 4*o - 122, a = 2*j + o + 9 - 56. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 29*d + 137. Let n be j(34). Suppose -13 = -12*u - 37. Sort u, -1, n.\nAnswer: n, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(39)*4)\/(sqrt(15)\/(sqrt(10)\/sqrt(2))).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 5 - 7 - 2*d in the form x + y*d and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/12)\/((-8)\/128).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 3*s + 153, 0 = 2*r + 5*s - 3*s - 106. Calculate the greatest common divisor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 13 + 2214\/(-189).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 110*g - 1866. Let v be d(17). Let j be (-36)\/(-10) + (-4)\/(-10). Solve 12 = -j*o + v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215472202.\nAnswer: 2, 11, 73, 12197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59821583 is divided by 1087665?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 3*k + 149 = 0, -1259*w + 1255*w = 2*k - 78 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2) + 3)*-4. Let c = t + 16. Suppose -20 = 4*r, 3*m + 4*r - 11 = 2*r. Calculate the least common multiple of m and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*x + x + 19, 5 = 3*z + 2*x. Let f be 27199998 + -1 + 4 + z. Suppose -q + f = q. What is q rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/8)\/(85\/(-34)))\/((-12)\/(-15)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, 13447697, -0.2, 9, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5840, -11666, -17492, -23318?\nAnswer: -29144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9305 + 0.1.\nAnswer: -9304.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 3\/((-3)\/1). Suppose 292 = 4*n - y*g, 3*n + g - 224 = 5*g. Let o be (n\/40)\/((-1)\/(-5)). Solve -o = -3*a - 21, t - 5*a = 23 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -27*l - 6. Let i be p(-4). Suppose -4*y + y + i = 0. Let k = 73 - y. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, q: 8, f: 4}. What is prob of picking 1 l and 2 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2079 and 30279.\nAnswer: 20983347","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/2 of a hour?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5)\/m*m)**(-34)\/(m**(1\/5)*m*(m*(m\/m**1)\/m*m)\/m)*((m*m\/(m\/(m\/(m**(-7)\/m))))\/(m*(m*m**3)\/m*m))**(-5) assuming m is positive.\nAnswer: m**(-199\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 248\/985?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**3 + 25504*p**2 - 127604*p + 102096 = 0. Calculate p.\nAnswer: -6381, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/((d\/d**(-7))\/d*d))**(-49) assuming d is positive.\nAnswer: d**294","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 9:01 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 36 (b) 2 (c) 0.5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1416220, -2832423, -4248578, -5664661, -7080648, -8496515, -9912238, -11327793?\n\"Answer: 4*o**3 - 1416231*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.34 - 0.06. Let r = 10 + -10.5. What is the nearest to 0.1 in a, r, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 k, and 1 s when three letters picked without replacement from vvvvvakvvsvvv.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d - 99*d**2 + 103*d**2 + 8 + 0 = 0. What is d?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -232*i**2*t*v**2 + 3*i**2*v + 3*i**2 - 10*i*v**2 - t**3*v**2 wrt t.\nAnswer: -232*i**2*v**2 - 3*t**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 35896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.68772 to 2 decimal places.\nAnswer: -16.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14\/5 + 12\/5. Suppose 3*v = -2*v + 2*g + 13, -2*g - 3 = 5*v. Is v bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 221814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 327*f - 4*w - 16 = 325*f, 4*f - 5*w - 17 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 174.44 + -178. Let k = 1.4 + 1.4. Let a = p + k. Round a to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -13*f + 66. Let k be d(4). Let u be (k\/140 - 9\/(-10))*0. Solve -2*l + u*j - 8 = -j, -3*l - 12 = -j for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4 - 25. Suppose 0*s + c - f = -4*s, -2*c - 10 = 0. Suppose -5*o = s*d + 13, 5*o - o + 8 = -3*d. Solve b + 4*y = -21 + 2, d*b = 4*y + 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/4 (b) 3 (c) -236\/3 (d) -1847 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.5 - -2.5. Let w = v + 11. What is the nearest to -0.3 in -1, 4\/7, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2629 is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5747*28\nAnswer: -160916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 301626761?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 244*(((-8625)\/20)\/(-23) - 19).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c**2 + 20*c - 7. Let u(r) = -r**2 + 5*r - 2. Let h(p) = 2*s(p) - 9*u(p). Let q be h(-6). Sort -2\/7, q, -0.2 in ascending order.\nAnswer: q, -2\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(38)\/sqrt(2) - sqrt(19)) + -4 - sqrt(171)*-2*-5.\nAnswer: -30*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 - 13*j - 26*j - 82 + 46.\nAnswer: -39*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -6\/367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.721716 rounded to two decimal places?\nAnswer: 14.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -656.0839 + 656. Round k to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 25\/2*f**2 - 5*f + 0 - 1\/6*f**3. Calculate the remainder when j(11) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 21*x**2\/5 + 42217181*x\/5 + 2412410 = 0. Calculate x.\nAnswer: -6031025\/3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0732549087 to three dps.\nAnswer: -0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 67 + -37 + -11 - 86.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 44\/7 (b) 2\/11 (c) 244 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 631190.6592 to the nearest 100.\nAnswer: 631200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s + 6*s + s - 19*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8918 + -8782. Which is the second biggest value? (a) -1\/4 (b) -0.5 (c) 2\/9 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -197278*r - 439444 wrt r.\nAnswer: -197278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*k**4 + 195*k**2 + 2*k**3 + 12*k**4 - 193*k**2 to the form y*k**3 + i*k**4 + x*k + q*k**2 + u and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 o when three letters picked without replacement from avovavfffffo.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-18)\/k**(-1\/19) assuming k is positive.\nAnswer: k**(-341\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2182178 a multiple of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -95*d**2. Let z(l) = -8*l**2 + 3*l. Calculate z(t(o)).\nAnswer: -72200*o**4 - 285*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x = 8. Suppose 0 = -3*k - x*k + 98. What is the tens digit of 76\/6*21\/k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 125768 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -90, -143, -214, -309, -434, -595, -798?\nAnswer: -1049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 + 30. Let u(j) be the second derivative of 1\/10*j**5 - j**2 + v + 0*j**4 + 0*j**3 - 2*j. Find the first derivative of u(g) wrt g.\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -2, -1353, 1, 3 in ascending order.\nAnswer: -1353, -23, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -92*n**2 - 4*n - 5. Let m(b) = b**3 + 11*b**2 - b - 13. Let g be m(-11). Let q be k(g). What is the tens digit of 1\/(-4 - 1465\/q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4 + sqrt(12)\/(-3*sqrt(384)))**2.\nAnswer: -7*sqrt(2)\/12 + 14113\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 1\/2, -51884, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -9*p. Let w = 159 + -129. Let s(x) = -15*x - 9*x + w*x - 10*x. What is s(y(t))?\nAnswer: 36*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 26*31\/2821 + 279\/(-21) + 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 118288295?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264136 divided by -2.\nAnswer: -132068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1. Let f = 1 + t. Let w be (6\/12)\/(1\/(-1)). Which is greater: f or w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**1)**(-11\/7)*(d**6*d)\/(d**(-3\/2)\/d) assuming d is positive.\nAnswer: d**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5412\/(-594) + (-12)\/54\nAnswer: -28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20033.1 - -20038. Which is the closest to -1? (a) 3 (b) 3\/5 (c) m (d) -0.26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - s**2 - 3*s + 2. Suppose -5*l + 4*n + 37 = 0, -2*l - n = -16 - 4. Suppose -11*f + 42 - l = 0. Calculate v(f).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -267653*i**4 + 14*i**3 - 50441*i**2 - 30*i - 2 wrt i?\nAnswer: -6423672*i + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 2:42 AM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 13 + 27)*(-3 - 1 + 3)*(j + 20*j - 3*j) + (3 - 3 - j)*(0 + 0 + 2).\nAnswer: -1028*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4360 + 4360.2. Which is the closest to -2\/7? (a) k (b) -1\/138 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1931.19979 - -1426.01.\nAnswer: 3357.20979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138*l = -318 - 648. Let p = 8 - 5. Put l, p, 5 in descending order.\nAnswer: l, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + 1 - 1 + (2 + 3 - 3)*(2*u + 2*u - 5*u) - u + 2*u + 4*u + 8 - 9*u - 8 + u + 4 - 4.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 24*y = 1370 - 148, 3*w - y - 101 = -4*y + 49 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 460*p**2 + 8 + 4 in the form k + b*p + v*p**2 and give v.\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d + 1708. Does 22 divide u(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -17. Let y = -1.79 + -3.21. What is the third biggest value in -0.2, y, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 146*h**2 - h.\nAnswer: 146*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 302530 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 36 = -3. Suppose 2*m - 26 = 3*k, -5*k = -5*m + 47 - 7. Let j = 23 + k. Calculate the greatest common factor of f and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1501 rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30301\/20198 - -2\/10099. What is the biggest value in -0.1, 1\/13, 4\/9, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4170 (base 9) in base 7?\nAnswer: 11631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - 6 + 3*v**3 + 6*v**4 + 4*v**3 - 18*v**4 + 14*v**4 in the form m*v**3 + z*v + d*v**2 + o + i*v**4 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from noojjnjjnojnojjnjjn. Give prob of picking 3 n.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12, -55413, 2?\nAnswer: -55413","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3\/3 + 3820*b**2\/3 + 62144*b\/3.\nAnswer: -4*b*(b - 971)*(b + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35661132.\nAnswer: 2, 3, 13, 23, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1057 + -1057.21. Let g = 0.21 - 0.2. Let i = g + x. Which is smaller: i or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7852 + -7536. Calculate the remainder when 640 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 13. Suppose -5*c + f + 34 = 0. What is the lowest common multiple of c and (3 - 1)\/(6\/3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35905 and 215.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 - -2.5. Let h = 0.31 + -0.17. Let d = h - 0.04. Which is the biggest value? (a) j (b) d (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1939 - 0.7.\nAnswer: -1939.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, z: 3, q: 2}. Give prob of sequence iziz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, h: 4, b: 3, f: 2, m: 1, d: 2}. What is prob of sequence fbhh?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 241 = -281. Calculate the highest common factor of 58 and z.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7350000 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c + 8 = 20*c + f, 5*c + 5*f = 25 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 divided by 3455.\nAnswer: 41\/3455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 373479041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*s**3 - 150*s**3 + 37*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39396, 76974, 114558, 152148, 189744, 227346?\nAnswer: 264954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 18. Suppose -8*p - 5054 = -m*p. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 12. Suppose 604*u = 610*u - 90. Solve u = -w*j + 2*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2505 and 11?\nAnswer: 27555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 175 divided by -5506\nAnswer: -175\/5506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 30. Let p = k + 9. Let o = -22 + 22.3. Which is the smallest value? (a) p (b) -5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1020132 - -1232?\nAnswer: 1022030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h**2 + 550*h - 275*h - 275*h.\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 355*f + 2173. What is w(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39\/((-34476)\/286))\/(-11)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -748, 1836, 6144, 12176, 19932, 29412, 40616?\nAnswer: 53544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -1054*i + 29. What are the prime factors of j(-2)?\nAnswer: 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -50. Let g(t) = -t - 45. Let b be g(-7). Let n = a + b. Solve i + n*i = 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145241 divided by 145241.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 4064.\nAnswer: 1\/254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -543, -1089, -1637, -2187?\nAnswer: -2739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1874 + 6518. Calculate the greatest common factor of s and 344.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -46 + 9. What is the remainder when (1 + -3)*r\/2 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4.706203 centimeters?\nAnswer: 0.04706203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.885322 rounded to 2 decimal places?\nAnswer: -75.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -16*p**2 + 35*p - 70. Calculate r(2).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.222 - 0.022. Let k = -0.2 - 0.8. Let d = -2 + k. What is the biggest value in n, -5, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40801403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -598, -2427, -5470, -9733, -15222, -21943, -29902, -39105?\n\"Answer: -c**3 - 601*c**2 - 19*c + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6466, -6559, -6636, -6691, -6718, -6711, -6664?\nAnswer: -6571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (106 - 91) + (-18 - -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 8 - (1 - (-2 + -1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 u when four letters picked without replacement from {z: 1, c: 1, u: 1, e: 4, a: 6}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, b: 11}. What is prob of picking 1 b and 2 w?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - 0 - (5 - (4 + 3)). Suppose y*a = -a + 5*a. Suppose u - 11 = -2*v, -4*v + 17 = -4*u + 1. Solve 0 = 4*f - 4*h - 20, a*f - 15 = 5*f + v*h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(2\/17)*m))\/(m*m**(1\/2)\/m*m)*(m\/m**(6\/5))\/m**(3\/10)*(m*m**(-6)*m)\/m*(m**(2\/3)\/m*m)\/m*(m**(-1\/5)*m*m)\/m*m**(8\/5) assuming m is positive.\nAnswer: m**(-1288\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millennium in decades?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -672477 (base 8) to base 16\nAnswer: -3753f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 3*y**2)*(2 - 14*y**2 + 2*y**2 + 9*y**2) as u*y**4 + g*y**3 + h*y**2 + d*y + z and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48290?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/90)\/(2\/(-4))*(-153)\/17\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**3 - 2*s**3 + s**3 + (-2*s**3 - 5 - 6*s**2 + 5)*(-2 - 2 + 2).\nAnswer: 5*s**3 + 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = 5*c - 25, 0*c = -3*f + 4*c - 19 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s + 3. Let g = 120 - 124. What is c(g)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 0*g**3 + 0 + g - g**2 - 13\/4*g**4. Let j(u) = -2*u. What is j(t(b))?\nAnswer: 156*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1449373, -1449451, -1449529, -1449607?\nAnswer: -1449685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*l - 10*l + 91 + 329 = 0 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50841, 50863, 50907, 50973, 51061, 51171, 51303?\nAnswer: 51457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 77*g - 8*g + 6505 + 3*g**2 - 6401. Give v(20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stqtsttatqqtqttqa. What is prob of sequence sas?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -137*o*p**3*x**3 + 829*o*p**3 + 46*o*p**2*x**3 - o*p**2*x**2 + 3*p**2*x + 6*p**2 - 6*x wrt p.\nAnswer: -822*o*x**3 + 4974*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 3. Let k be (98\/(-20))\/(1848\/(-660)). Is y less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13*(-10)\/104*(-18)\/12*-8?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (41\/2 + -2)*-1. Let w = -161\/8 - n. Calculate the common denominator of w and 54\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*d = -14, -w - d - 10 = -2*d. What is the units digit of w\/(-20) - (-16)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2130 + 31?\nAnswer: -2033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90534315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1980*b**6*n - b**5 - b**3*n + 2*b**2*n + 14*b*n - 16*n wrt b?\nAnswer: -237600*b**3*n - 60*b**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 2*k = 4*m + 5, -1 = -4*m + k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60585 is divided by 10090.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -1\/6*o**3 + 0*o**5 - 14*o**2 + 0*o + 0 + 7\/120*o**6 + 1\/12*o**4. Calculate g(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 28 + 1 + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*p - 7568 + 6918 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121012100021 (base 3) to base 15.\nAnswer: -646ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -44\/5*g + 32\/5 + g**2 = 0.\nAnswer: 4\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + 0. Suppose 5*x + 5*w - 25 = 0, -x + f = x - 4*w. Let m = -70.1 + 70. Which is smaller: x or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 4. Let p = 27099\/8 + -3392. What is the common denominator of a\/(6\/100) + 2 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2367*c**4 - 416*c**5 + 2367*c**4 + c**5 - 7*c**5 + 3*c**5 - c**5 - 3*c**5 + 2*c**5 - 4*c**3 + 4*c**3 + c**5 + (c - c - 2*c**2)*(4*c**3 - 2*c**3 - c**3).\nAnswer: -422*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56671 + 116*z**2 + 407*z**2 - 56684.\nAnswer: 523*z**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 10:10 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w + 1. Let s be z(4). Let n = -18 + s. Let q(k) = k**3 - 6*k**2 + 2*k - 6. Is 21 a factor of q(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 4 - 1 = v, 3*v - i = -11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-1\/4)*(h*(h**(2\/3)*h)\/h)\/h assuming h is positive.\nAnswer: h**(17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -4*n + 85, -5*n = 4*z - 89 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -110544100 (base 6) to base 2\nAnswer: -111101001011000100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n. Let l = 58 + -30. Let u(z) = 8*z. Calculate l*h(t) - 3*u(t).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.3 and -14009.\nAnswer: -14006.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14201.\nAnswer: 11, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 + -751\/7. Let g = -2.9 + 0.9. Let o = g - -3. What is the nearest to o in 3, y, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p - 5196 = -127919. List the prime factors of p.\nAnswer: 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -9, -0.003, 3\/2?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3307*-0.05\nAnswer: 165.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 38450224529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -539 + 544. Solve 130*m = 131*m - o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/63, -0.4, -7\/20 in descending order.\nAnswer: 2\/63, -7\/20, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 12*g**2 + 26*g - 156. Let v be k(14). Let w be v\/190 - (2 - -1). Which is the third smallest value? (a) 0.1 (b) w (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 225817816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1840864344?\nAnswer: 2, 3, 11, 61, 114311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1229 + -830. Does 57 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 4*f = 328, -65 - 113 = -2*g - 5*f. Suppose -7*s = -s - g. Calculate the greatest common divisor of 35 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2. Let d(y) = -506*y - 7. What is d(t(f))?\nAnswer: -1012*f**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-177)\/(-600)*-49 + 948\/2528 - -14.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 3*q**2 - 19*q + 14. Let c be f(6). What is the second derivative of 0*o - 2 + 5*o**5 - c + 8 + 23*o wrt o?\nAnswer: 100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1. Let q be 0 - -2 - (2 - d). Let n = 2 + q. Solve -2*a + 20 = n*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.11199 rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 6*d = -9*d + 692, -5*d = 9*m - 1242. What is the remainder when 141 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2305\/84 + 339\/28. Calculate the common denominator of (-5)\/(-14)*(11 + 5) and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a week in minutes?\nAnswer: 85680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooiioooooo. What is prob of sequence ooi?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from felze?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bc + 0?\nAnswer: -bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(1008) + -3 + 0 + sqrt(1008)).\nAnswer: -120*sqrt(7) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c + 2*c - 1 + c)*(-6 - 3 + 3)*(5 + 0 + 3)*(-7*c + 4*c - 3*c).\nAnswer: -576*c**2 - 288*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 11*z**2 + 15*z - 13. Let q be c(12). Suppose -5*b = -m - q, -2*b = 5*m - 8 - 12. Suppose m*y - 96 = 168. Is 33 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 683839340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -3 + 1 + -2. Let h = 9 + r. Suppose -25 = -h*v - 0, v + 491995 = -4*k. What is k rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*l + 12 = 137*l - 4*t, -68 = 4*l - 4*t. What is the second smallest value in 2, 5, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/17 - 572\/51. Find the common denominator of (-2)\/7 + 465\/84 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1152*o + 176*o = 204*o + 14693 + 13627 for o.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -1223*z + 2577. Let o(p) = -p - 2. Let y(t) = m(t) - o(t). What is the derivative of y(w) wrt w?\nAnswer: -1222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8716, 17421, 26120, 34813, 43500?\nAnswer: 52181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 140 - 124.7. Let v = 10 - c. Round v to 1 decimal place.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2598 is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 y when two letters picked without replacement from yyyyyjyyyyyyyyy.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 0*l**3 - l**2 + 7\/12*l**4 + 0 + 19*l. Let i(a) = 4*a. Determine j(i(s)).\nAnswer: 56*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -275121 + 2?\nAnswer: -275119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32163 is divided by 1072.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2332504215 + 21?\nAnswer: 2332504240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(2*o - 4*o + o) + 996*o + 1421*o + 157*o - 129*o.\nAnswer: 2443*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 272661578 to the power of 1\/2, to the nearest integer?\nAnswer: 16512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 t when three letters picked without replacement from tjtoukxx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 358 + 3*h + 358.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24414 is divided by 718.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(8)\/sqrt(4))**2)*1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r + 21*r - r - 6*r to the form w + v*r and give v.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 8673?\nAnswer: 95403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4962026132?\nAnswer: 2, 7, 71, 107, 23327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31139\/32 or -973?\nAnswer: -973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j + 73 = -53*v + 51*v + 42*j - 23*j, 7 = -5*v - j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**6\/10 - 11*y**5\/15 + 2*y**4 - 8*y**3\/3 - 22*y**2 - 7. Factor v(h).\nAnswer: 4*(h - 2)*(h - 1)*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or 73\/2424?\nAnswer: 73\/2424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 11*a**3 - 3*a**2 + 8*a. Let t(u) = 10*u**3 - 2*u**2 + 12*u. Give -3*s(r) + 2*t(r).\nAnswer: -13*r**3 + 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.1, 17, 1\/6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 48 - 3 - (0 - -3). Suppose 0 = 2*j - 4*j + b. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + -136\/3. Suppose -5*o = -x + 4, -13*o - 2*x = -9*o + 20. What is the biggest value in 0, o, -7, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjfjkfkkfff. What is prob of sequence fk?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3279621 divided by -4\nAnswer: -3279621\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 2*c + 1. Let a(b) = -4*b**2 + 165*b + 8. Let k(r) = -a(r) + 3*y(r). Let v(j) = j**2. Determine k(v(u)).\nAnswer: 7*u**4 - 159*u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1430 (base 10) in base 6?\nAnswer: -10342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 69*d**2 + 5*d - 11. Let p be y(11). Suppose 2*u + 0*u = -4*q + 3378, -3*q = -5*u + p. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -2*z - 10, 4*s - 6*z + 5 = -7*z for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpa when three letters picked without replacement from qppqfqdqpcac.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m + 23*m - 710 = -4*c, 0 = 4*c - 3*m - 709. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-389 - -379) + -3 + 1 + -5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4985*h + 4149*h - 21906*h.\nAnswer: -22742*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 98\/6 + 2\/(-6). Suppose 2*r - 5*l + 5 + t = 0, -6 = 2*r - 2*l. Suppose -3 = -4*p - 5*a, -a + 9 = r*p - 6*a. Solve -p = -2*h + 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 517 = -5*k, -188*k = -185*k - 4*x - 287. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5936 - -197441031.\nAnswer: 197446967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 16*d**3 + 4*d**2 - 8*d + 7. Suppose -13*k + 190 = -226. What is the remainder when j(2) is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 f, and 1 b when three letters picked without replacement from {b: 2, x: 2, r: 3, f: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 29*j**2 + 56*j - 34. Let b be o(27). Suppose -3*f - 2*f - 2*l + 16 = 0, -9 = 3*f - 5*l. What is the greatest common divisor of b and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + l + 3*m + 1, -m = 2*l + 11. Suppose -14 = -g + 23. Put g, -1, l in descending order.\nAnswer: g, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 654355.\nAnswer: 5, 13, 10067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/723*-2165 + 3. Let v = p + -23180\/7953. What is the common denominator of 3\/10 and v?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14928 - 14374. Calculate the smallest common multiple of 8 and n.\nAnswer: 2216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 4*b + 20 = 0, o = 4*b - 15 + 35 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 17284?\nAnswer: 17280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 + 55 - 57 + 3*x + 45 + 52 in the form c + h*x and give c.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2487, -19760, -66633, -157902, -308363, -532812, -846045?\n\"Answer: -2466*z**3 - 4*z**2 + z - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 22 = f. Let w(v) = v**2 - 10*v - 13. Let m be w(f). Let p(q) = -q**2 - 2*q**3 + 5 + 6*q - 2*q - 2. Give p(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-180))\/(3\/(-1035))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*i = -77*i + 24. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(15\/(-8)) - 2. Let f = 13.9 - 10.9. Let i = 13\/37 + -2\/111. Which is the closest to i? (a) f (b) z (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 2*t**2 + 6*t + 8. Let a be q(4). Suppose 9*k = -a*k + 5967. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4648\/5 + -938. Let l = a - -163\/20. Let b = -1 - -1.4. Sort l, b, -4 in descending order.\nAnswer: b, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c - 14*c + 6*c)*(c - c - 2*c**2) + 2*c**3 + c**3 - c**3.\nAnswer: 26*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*d*i**2*t + 511*d*i + 6*d*t - 24*i**2*t + 2*i**2 + 274*i*t - 6*i with respect to d.\nAnswer: 19*i**2*t + 511*i + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i**4 + 3*i**3 + 2*i**2 = 0. Calculate i.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 10*x**4 - 26*x**3\/3 - 37. Find the third derivative of c(y) wrt y.\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(((p*(p\/(p**7\/p))\/p)\/p)\/p))\/p)\/(p*p**1)*((p*p**1*p)\/p)**(-6) assuming p is positive.\nAnswer: p**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 2:41 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**5 - 330*c**4 + 7128*c**3 - 49248*c**2 + 72576*c = 0.\nAnswer: 0, 2, 12, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 120832792 a multiple of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3791 - -3786. Which is the closest to 3\/5? (a) -7 (b) j (c) -4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 1)\/((-2)\/1). Suppose -i + 1 + 3 = g. Suppose -3*t + 37 = 4*u - 2, -14 = -i*u + 2*t. Calculate the smallest common multiple of 7 and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12839141940215 - -1.\nAnswer: -12839141940214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-5)*20\/(-3). Let p(n) be the third derivative of n**4\/24 - 4*n**3\/3 + 5*n**2. Let z be p(l). Solve m + 1 - 4 = z for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 15*t - 45. Let k = -7608 - -7616. What is u(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7950, 10, -1, 5, -60 in ascending order.\nAnswer: -60, -1, 5, 10, 7950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 11*a + 3 - 3 - 7*a. Let g(k) = -3*k - 1. Let p(o) = -3*g(o) - 2*z(o). Let w(c) = -c - 4. What is -3*p(s) - 2*w(s)?\nAnswer: -s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**2 + 3*u**2 - 2*u + 3*u**2)*((u - 3*u + 0*u)*(4 + 7 - 3) + 3 - 2*u - 3).\nAnswer: -36*u**3 + 36*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22\/5133 - 257921\/102660. Calculate the common denominator of n and 14\/49 - (2 + 905\/(-42)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 137 and 10823.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + (-13 - -9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1374443242?\nAnswer: 2, 19, 1903661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**4 - u + u)*(2 + 1 - 1) + 0*u**4 - u**4 + 0*u**4.\nAnswer: 5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= 30196\/12727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**5\/20 - z**4\/3 - 5*z**3\/6 + 3*z**2 - 2*z. Let s be w(5). What is s rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -5.4. Let n = 0.016 - -4.184. Let f = n - 4. Which is the second smallest value? (a) -2 (b) d (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 11*p**2 - 816*p - 8526. Calculate m(-29).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = 10*r + 20. Is 0 + 1201 - -1 - r\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 686 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2163577 - -4?\nAnswer: 2163581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 124955813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide -4 + 8 + -10 + 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5*n - 12 = -6*n, 0 = 3*n + 9. Suppose m = 2, 3*m + 0 = -o*i + 12. Solve 3*q + i*q + 20 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 1:56 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-38)\/(-28215)*77*5)*6*-1.\nAnswer: -81\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 5*l**2 + 4*l + 4. Let s(j) = j - 1. Let z be s(-2). Let t be f(z). Let u = t - -6. What is the greatest common factor of u and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1291, -1289, -1285, -1279?\nAnswer: -1271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**5 + 27437*h**4 - 188210960*h**3 + 188183524*h**2.\nAnswer: -h**2*(h - 13718)**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 - g**2 + g + 2. Suppose -5*d - 4 = 3*l, l - 3*d - 3 = 5. What is k(l)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**3 + 1 - 1 + 0*d - d**3 + 0*d + (-5 + 5 + 2*d**2)*(-d - 2*d + 2*d) + d - d - 2*d**3 + 0*d**2 + 150*d**3 - 2*d**2 - 146*d**3.\nAnswer: -2*d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v - 25269 = -25557 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 7*k**2 - 4*k + 13. Let z be q(6). Let j = 3 - z. Let t(m) = 8*m + 1 - 1 + 0. Let s(a) = -2*a. Determine j*s(f) - 6*t(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13764700 rounded to the nearest 100000?\nAnswer: -13800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 1:39 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28094 and 495.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297123.\nAnswer: 3, 99041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49238200.\nAnswer: 2, 5, 11, 22381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-19)\/5) + (-557 - -553)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 6\/5, -0.2, 8, 1, -0.3 in increasing order.\nAnswer: -0.3, -0.2, 1, 6\/5, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 - 8*p**2 - 23*p - 68. Let c be y(-4). Solve 131*z = 143*z - c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from osooosoosossooooooo. What is prob of sequence osss?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3351, 3327, 3303, 3279, 3255?\n\"Answer: -24*f + 3375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*l - 25. Suppose l*i = -0*i - 10. Let g(p) = p**3 + 10*p**2 - 11*p + 5. Let j be g(-11). Put j, i, 3, -18 in decreasing order.\nAnswer: j, 3, i, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -4*a + 3*w, 0 = 4517*a - 4521*a - 2*w + 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 337 - 223. Let i be -4 - (-6 - 0\/(4\/2)). Calculate the greatest common factor of i and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3470*h**3 + 1724*h**3 + 1722*h**3.\nAnswer: -24*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/14*(-22)\/(-154)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-1 - 3*n + 1 - 2) + (-n - n + 0*n)*(-1 - 2 + 1).\nAnswer: 10*n + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 5*d + 499197, -g + 5*g - 2*d - 1996770 = 0. Let s = 1839192 - g. What is s rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 8. Let t be n(-9). Let q be (t + (-3)\/(-3))\/(5\/5). Let v be (-4)\/18 + 58\/18. Solve -4*b - v*c - c + 12 = q, b - c = -5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44360 to the nearest one thousand.\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-4)*(-340)\/45*6. What is the greatest common factor of 374 and l?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3 - (-60)\/(-4))\/(6\/(-52))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/90723 and -59\/30141?\nAnswer: 911493981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**3*d**(4\/3) assuming d is positive.\nAnswer: d**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (525\/56 - 6). Which is the third biggest value? (a) -0.5 (b) l (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82965.95um to meters.\nAnswer: 0.08296595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 47, -5\/2, -0.192, -1, 0.4?\nAnswer: -0.192","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*j - j + 596, 4*j - 582 = -5*n. Let w be j\/18 - (-2)\/(-9). Let x be (3\/9)\/((-3)\/(-9)). What is the greatest common factor of x and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 3*g + 6. Let f(m) be the first derivative of -31*m**2\/2 + 8*m - 1293. Is f(g) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*n - 47442 - 47440 + 94882.\nAnswer: -13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -66, -324, -754, -1356, -2130, -3076, -4194?\n\"Answer: -86*n**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 1 + 1)*(-1 - 1 + 3)*(266*q**2 + 2*q - 21*q**2 - 3198*q**2) to the form h*q + d*q**2 + b and give d.\nAnswer: 5906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -0.4, 327\/682, 0.03, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 30 - 20. Let s be (-21)\/(-30) - (1*g)\/(-10). Factor -s*z**3 + 1\/2*z**2 - 1\/4 + 1\/4*z - 1\/4*z**4 + 1\/4*z**5.\nAnswer: (z - 1)**3*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**5 + 309596*m**4 - 1547941*m**3 - 4334274*m**2 = 0. Calculate m.\nAnswer: -2, 0, 7, 309591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 249145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 4*v - 3*v)*(-132 + 132 - 81*v).\nAnswer: -81*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -25. Which is the closest to q? (a) 0.1 (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 - 16146710*j + 48440112.\nAnswer: 2*(j - 8073352)*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v**3 - 13*v**2 + 2*v + 12. What is y(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 67455407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38909 and 1743443?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3554 divide 217374365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*i - 33*i + 83 = 0. Solve i + 18 = -19*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 195 and 520?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**2 + 51909*t\/2 - 51889 = 0.\nAnswer: 2, 51889\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3050*i + 24409. Calculate the lowest common multiple of k(8) and ((-4)\/(-10))\/((-2)\/(-390)).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -233 - -288. Suppose 4*l + 5*w - 16 = a, 5*l + w = 115. Let v = -21 - -39. Calculate the least common multiple of v and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 674 divided by -38\nAnswer: -337\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - (15 - 13))\/(-1). Let b be 1 - 3\/(-6)*-4. Put 10, 2, w, b in increasing order.\nAnswer: b, 2, w, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4*h + 2*x + 36, -h - 12 = -3*x. What is the tens digit of (-10560)\/(-18) - (-8)\/h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 6*w + 3 = 0. Calculate the highest common divisor of w and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 + 28*j**2 - 4*j + 112. Let y = -354 + 382. Let l be u(y). Sort l, -4, 10, 1 in ascending order.\nAnswer: -4, l, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16390872*f**2*n**2 + f**2 - 5*f*n**2 - 2*f*n - 2037*n**2 - 2*n - 81 wrt f.\nAnswer: 32781744*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 7*z**4\/24 - 14*z**3 + 79*z**2. What is the remainder when 69 is divided by s(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 149453 - -320547. Round w to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from deesr. What is prob of picking 1 s and 1 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (372\/(-279))\/(4\/15). Which is the second biggest value? (a) 38\/9 (b) 0.5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 11 + 8*m**2)*(-4 - 3 + 4)*(-2 + 0 + 1) to the form f*m**2 + w*m + t and give f.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6716 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q - 30 = 2*r - 10*q, -2*q - 50 = 4*r. Let l be 8 + (-12)\/30*r. Calculate the highest common divisor of 708 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 times -0.8\nAnswer: 15.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -33 (b) 0.4 (c) 1 (d) 0.18 (e) -3 (f) 1533\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*z + 4. Let h be (3 - 2)*(z + -3). Is 3\/h*-4 - -21 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32.2 - 27. Let a = 439803.79 - 439798.58999956. Let u = a - o. What is u rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4, -7, -22, -55, -112, -199?\n\"Answer: -u**3 + 4*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 11*v = -10*v + 23, -5*w + 111 = -4*v. Suppose -13 = -2*r - 1. Suppose -r - w = -5*p. Solve -3*z - 4 + 1 = 0, 0 = 2*j + 3*z - p for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 4:37 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 22 = -10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -7*f - 59. Give o(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 12*n + 99. What is z(-9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24180 divided by -2418.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*k + 72, 1 - 5 = -u. Suppose -2*x + 22 = -0*x. Suppose t = 5 + x. What is the greatest common factor of t and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 0)\/(-1 + 0). Let d = -155\/4 + 39. Factor g + 1\/2*x**2 - d*x - 1\/4*x**3.\nAnswer: -x*(x - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(891) - (((sqrt(891) + 2 - sqrt(891))*2)**2 - sqrt(891))) + ((1*-2*sqrt(891))**2 - (3 + -1 + sqrt(891))**2).\nAnswer: 54*sqrt(11) + 2589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 261 divided by 1?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/8)\/(5\/240). Let v(q) = q**2 - 21*q - 73. Let k be v(p). Let c(u) = -2*u - 3 + 2 + 0. What is c(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.03182 rounded to one decimal place?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 16 = 3*g, a = -4*g + 9*g + 24 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -27. Let j be 2\/(-4)*z\/(-3). Let d = -0.042683 + 0.042683. Which is bigger: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + y, y - 5 + 2 = 5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmq when three letters picked without replacement from {q: 3, v: 3, m: 12}?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*o + 2. Let u(r) = r**2 + r. Let a be u(o). Solve 0 = -2*x + 4 - a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(104) + (2*sqrt(104) + sqrt(104) - sqrt(104))))\/((-2*sqrt(8) - sqrt(8))*3).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1587*p + 3257*p = -7138*p - 17616 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 32. Suppose y = 16*v - 15*v. Suppose v = 3*h - 128 + 17. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 - 235*w + 40. What is the units digit of j(-30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 439?\nAnswer: -439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*v - 287*v - 871*v to a*v + b and give a.\nAnswer: -1118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2082567917?\nAnswer: 139, 14982503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*b - 10008 = -57*b. Calculate the remainder when b is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16605 - 5335. Let a = i + 22001.015. Let m = a - 61. Round m to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84724 divided by 4.\nAnswer: -21181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y + 37. Let m be i(-13). What is the greatest common factor of m and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2 - 26*u - 14. Let m be p(9). Put m, -3, 5, -4 in descending order.\nAnswer: 5, -3, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44630887 or 1\/3?\nAnswer: 44630887","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 + 3*v + 2. Suppose 0 = -8*z + 841 + 1223. Suppose 2*o = -18*n + 14*n + z, -3*o = n - 72. Calculate the remainder when n is divided by s(-4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bddypdddddbdbpdy. What is prob of picking 2 b and 1 d?\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - h = 441, 2*h + 50 = 3*r - 216. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 divided by 4.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -207 - -314?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -925 or -923?\nAnswer: -923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(5\/14)\/u**(-27) assuming u is positive.\nAnswer: u**(383\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/3 - 2*c**2 - 4*c\/3.\nAnswer: -2*c*(c + 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - -0.2. Let k = t - -0.06. Let n = k + 0.012. Round n to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 4*o - a + 30, 4*o = 3*a - 13. What is the tens digit of (70\/o)\/(1\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 1 = 3*l + 71, -32 = 2*v + 2*l. Let i(u) = -43*u + 12. Let o be i(-1). Find the common denominator of 83\/34 and 27\/(-10)*o\/v.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 2:58 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -197*t**2 + 10*t - 10. Let v(k) = -200*k**2 + 9*k - 8. What is 5*h(q) - 6*v(q)?\nAnswer: 215*q**2 - 4*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 20 + 3*d - 2*d + 0*d. Suppose 1 = -2*t + 5. What is the lowest common multiple of 16 and b(t)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-2 + 3) - 5)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.113 rounded to one decimal place?\nAnswer: 27.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 2*r + 3*r**3 - 5*r**3 - 15*r**2 - 18*r**2 + 34*r**2 as c*r + o + x*r**3 + m*r**2 and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12151 (base 6) to base 8.\nAnswer: 3403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4014960709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 17 (b) 2\/9 (c) 0 (d) 5 (e) -0.06\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-4))\/((18\/180)\/((-14)\/(-10))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*h**3 + 4\/11*h**2 - 2\/11 + 0*h - 2\/11*h**4.\nAnswer: -2*(h - 1)**2*(h + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/5, 0.47.\nAnswer: -1, 1\/5, 0.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (-9)\/8)*(1 - -5)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -355?\nAnswer: 9\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002349877 rounded to 4 decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11287 is divided by 181?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 12:06 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (2 - 1 - 1) + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 r when two letters picked without replacement from {j: 9, q: 4, x: 3, f: 2, r: 1}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -444931*j**2 + 7*j - 2531558 wrt j?\nAnswer: -889862*j + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the third derivative of q**4\/6 + q**2. Let o(u) = -2*u**2. Calculate o(x(s)).\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**4\/12 + 2*l**2. Let r(w) = -1. Suppose 0 = 62*j - 8 + 70. Calculate j*s(y) + 2*r(y).\nAnswer: 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123545 divided by 123545.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 541 + -457. Suppose -5*l + 97 = 2*r, -2*r - 10 + 2 = 0. What is the highest common factor of l and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11011010010111011 (base 2) to base 7\nAnswer: -643646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-10)*r**(-1\/6)*(r*r*r\/(r**4\/r)*r)**(-2) assuming r is positive.\nAnswer: r**(-73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 50?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 413934109 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -1660.\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4 = -0*d. Let i(p) be the second derivative of 0 - 1\/42*p**4 + 2*p - 1\/7*p**d + 2\/21*p**3. Solve i(l) = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.10352089*-4.\nAnswer: 0.41408356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6697.\nAnswer: 37, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 31*u - 2. Let q be s(3). Let m = q - 59. Is m a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56340 divided by 5?\nAnswer: -11268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000085645992 to 7 dps.\nAnswer: 0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 3*i - 11 = 8*b, 5*b + 12 = -2*i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -18*v**2 - 6*v + 1. Let r(j) = 19*j**2 + 8*j - 1. Give -5*k(w) - 4*r(w).\nAnswer: 14*w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2427 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-1\/33)*r))\/(r*r\/r**(-5)) assuming r is positive.\nAnswer: r**(-230\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 5*p - 4*j + 936 = 0, 5*j + 900 = 5*p. Calculate the highest common factor of 69 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -8*y + 11. Let p(r) = 2*r - 1. Let f(b) = -6*p(b) - z(b). Let q(l) = 8*l + 11. What is -13*f(u) - 6*q(u)?\nAnswer: 4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 13, -1 in decreasing order.\nAnswer: 13, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 532556376 divided by -33?\nAnswer: -16138072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - h - 2200, 0 = 11*p - 13*p + 3*h + 1455. Find the third derivative of 148*m**4 - 58*m**4 + p*m**2 + m**3 - 465*m**2 wrt m.\nAnswer: 2160*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*m + 21, -m + 0*c + 8 = 4*c. Suppose -21 - 11 = m*q. Let l be (24\/(-13) - q\/(-52)) + 2. Solve -g = -l*g - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5704972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by -1.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10508\/(-70004)*86*(-1)\/2*-11.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1.16 and -24741125?\nAnswer: 24741126.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/4760 and 67\/102.\nAnswer: 14280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 1381510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/72 - 7\/(-21).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41030526029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11833.6 + 11836.6. Let t = -3 - -2. What is the closest to t in -4, -9, m?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1*sqrt(1584) + -3)**2 + 5.\nAnswer: 432*sqrt(11) + 9563","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 95 - 42. Suppose -4*z + 389 - j = 0. Calculate the lowest common multiple of 1*4 + z\/21 and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31\/40 + -13\/120. What is the fourth biggest value in 1\/74, n, 0.1, 5?\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1435, -4, -3 in descending order.\nAnswer: 1435, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 15*y**2 - 105*y - 1040. Determine s(-13).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23084 = -1135*j + 1931*j for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/65 (b) 0 (c) 3.6 (d) -5 (e) 8\/401\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 479786.032 rounded to the nearest ten thousand?\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (64\/72)\/((-68)\/(-306)). Solve -y*s - 6*a - 18 = -5*a, -5*s = -5*a + 35 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 412421 (base 5) in base 3?\nAnswer: 200111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1152\/7 - 161. Let o = 80 - 140. Find the common denominator of p and (-5)\/(-15) + 86\/o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 2, g: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3, -x - 3*n - 2 = -3. Suppose 0*o - l + 4771 = x*o, -5*l - 1198 = -o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**5 + 0*z**5 - 3*z**5 + (z**3 - z**3 + z**4)*(3*z - 4*z + 0*z) + 0*z**5 - 6*z**5 + 4*z**5 + 423*z**5 + 112*z**5 - 67*z**5.\nAnswer: 459*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -9. Suppose h*f = -3*f. Suppose 2*o - 28 = -f*o. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (22 - 11) + (-3 - 10) - (-3 + 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + 2*(-3)\/(-6). Suppose p = 3*w - 15, 3 = -k*p + 15. 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: What is the lowest common multiple of 35139 and 6201?\nAnswer: 105417","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 PM and 5:08 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 4 - 1 - 200438*y + 198528*y in the form f*y + r and give f.\nAnswer: -1910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13 - (-245)\/(-21) - 1972080012\/9. What is x rounded to the nearest one million?\nAnswer: -219000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) - sqrt(56)\/(sqrt(35)\/sqrt(5)))\/(sqrt(4) + 4*(sqrt(4) + sqrt(16)\/sqrt(4)) - sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 252049.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 853?\nAnswer: 3412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2378, -2444, -2510, -2576, -2642, -2708?\n\"Answer: -66*h - 2312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82124?\nAnswer: 2, 7, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 254427714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**2 - 15*r**2 + 6*r**2)*(18 + 16*r - 18) as u*r**3 + p*r + f*r**2 + g and give u.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001480993 to 4 dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 6*j**2 + 232*j - 2. Does 3 divide y(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2 - 26*z - 926. Calculate the smallest common multiple of d(-16) and 11\/(0 + 1\/40).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 811 a factor of 17583291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433 is divided by 70.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 63357 + 2?\nAnswer: 63360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/6)\/(r**(1\/3)\/r)*(r**(1\/4))**(-3\/19) assuming r is positive.\nAnswer: r**(35\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13233 = -63960*r + 64361*r for r.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -1\/2*i**3 + i - 1\/2*i**2 + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 105\/716773 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 100208 (base 9) to base 13\nAnswer: 20c54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -21.4?\nAnswer: -21.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, h: 3, l: 1}. What is prob of picking 2 h and 1 d?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 5:22 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -2*u**3\/3 + 2*u**2 - 14*u. Let w(z) = z**2 - 7*z + 7. What is 7*h(v) - 4*w(v)?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*((3*g + 2 - 2)*(3*g**2 - 4*g**2 + 6*g**2) - 8*g**3 - 10*g**3 + 12*g**3).\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 742062 is divided by 1074.\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 + -79. Let c be 192\/(-30) + 6 - g\/5. Let w = -24 + c. Solve -2 - 7 = w*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -1\/3 (b) -15 (c) 0.05 (d) -3 (e) -0.02 (f) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000535058 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 4*z. Let r be a(-3). Find the first derivative of -2*p**3 - 4 + 4*p**r - 5*p**3 wrt p.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f - 3*f - f)*(f**4 - 11*f**4 + 0*f**4).\nAnswer: 80*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -136*x + 372. Calculate the remainder when q(-91) is divided by 61.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 - 4)*(12493 - 6244 + 26*d**2 - 6250 + 5*d).\nAnswer: 26*d**2 + 5*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 9\/7, -3\/4, 184, -0.4 in increasing order.\nAnswer: -3\/4, -0.4, 1, 9\/7, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*u + 187*u - 14674 = 0. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 19)*(5 - (6 - 11)). Round l to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 11. Let i be j(0). Suppose -i*u + 30 = -u. Let h(s) = -52*s**u + 44*s**3 + 2*s**2 + s**2. Let q(g) = -12*g**3 + 4*g**2. Give 7*h(l) - 5*q(l).\nAnswer: 4*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 11:37 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 - -68. What is the greatest common divisor of 140 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 5 (c) 118907\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*f = -2. What is the first derivative of 0 + 0*x**f + 0*x**2 + 3*x**2 - 3 wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 25 = 22*o - 25*o, 0 = 4*d - 4*o - 40. Factor -d*g**2 + 50\/3*g + 0 - 5\/3*g**3.\nAnswer: -5*g*(g - 2)*(g + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 11, g: 1, c: 1, o: 1, z: 4}. Give prob of sequence bzoc.\nAnswer: 11\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 + -12. What is the nearest to -0.2 in 0.1, c, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12, 5, 2, 9, 32, 77, 150?\n\"Answer: p**3 - 4*p**2 - 2*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 79303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**3 - 638*b**2 - 854*b - 303. Give g(214).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 0*x + 1\/24*x**4 + 0*x**3 - 16*x**2 + 0 - 1\/3*x**5. Determine q(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*2*-2*-4)\/(-6*(sqrt(12) - (sqrt(12) - sqrt(12)*2)) + (sqrt(12) + sqrt(12)*-2)*-5)*-5.\nAnswer: 80*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.10382, 2\/13, -0.4 in descending order.\nAnswer: 2\/13, 0.10382, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 17*s - 5707*s**2 + 0*s + 5696*s**2 + 4*s. Let i(f) = -6*f**2. What is o(i(t))?\nAnswer: -396*t**4 - 126*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-1 + -2*sqrt(68)*-5 - (sqrt(68) + -1 + sqrt(68))*-5*2)**2.\nAnswer: -1320*sqrt(17) + 61321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3760 divide 280030462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-43)\/((-10406)\/(-77)))\/(7\/(-4))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 457996 and 8?\nAnswer: 915992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*k = -2, -t + 2*k + 2 = t. Let a be (1 - -1)*5\/2. Suppose -z + 29 = 2*v - 4*z, a*v - 44 = -t*z. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4438 + 36280. What are the prime factors of q?\nAnswer: 2, 20359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (51\/17)\/(-1 - 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*h - 15 = -188*h, 5*p - 2*h = 11 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27\/3016, -2, 1\/5 in descending order.\nAnswer: 1\/5, 27\/3016, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, b: 2, i: 1}. Give prob of picking 1 i and 1 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, u: 3}. What is prob of picking 1 u and 2 m?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 311 (b) 1\/6 (c) 1\/5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131156558 is divided by 4403?\nAnswer: 4397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8519473*a**2*c + 3190876*a**2 wrt c?\nAnswer: -8519473*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 139023*o - 57325 with respect to o.\nAnswer: 139023","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(-76)*(6\/(-4))\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 14\/11353?\nAnswer: 14\/11353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-12)*q)\/((q\/(q*q*q*q*q**(1\/21)*q*q))\/q*q)*(q**(-2)*q)**(2\/143) assuming q is positive.\nAnswer: q**(-17917\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 6 = 8*d. Suppose -3*l + 12 = d*l. Suppose -l*m + 5*m - 135 = 0. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, l: 2, d: 1, w: 1, j: 3}. What is prob of picking 1 d and 1 s?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -793.05 + 755. Let x = j - -38. What is the second smallest value in 4, 3\/4, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*z + 84*z = 95480. Calculate the lowest common multiple of z and 775.\nAnswer: 8525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1610.2 - -9.1?\nAnswer: 1619.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 430 and 51940?\nAnswer: 2233420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-969)\/76*-2 + 12\/(-8). Let b = 32 + -48. Let w = j + b. What is the smallest common multiple of 210 and w?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/((-4)\/11) + 2. Let j = 21 - 26. Let l = j - n. Solve -5*z = -3*z + l for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.761578 years in decades?\nAnswer: 0.0761578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*t**6 + 50*t**4 + 80*t**2 wrt t.\nAnswer: -240*t**3 + 1200*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**4 + 0*x**4 + 0*x**4)*(x - 2*x - x) + (-2*x**3 + 2*x**2 - 2*x**2)*(3*x - 3*x + 2*x**2) - x**5 + 3*x**5 - 5*x**5 - 2791*x**2 + 2791*x**2 - 25*x**5.\nAnswer: -34*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 6391.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.5905569 months?\nAnswer: 0.000049213075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -300*k**5 + 514*k**2.\nAnswer: -18000*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 107680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -12 - (2 + -2 + 7 + (16 - 11))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*q + 3*z - 19, -q = 5*z - 27. Suppose q*f = 2*b + 6, b - 7 = -f - 0. Solve 4*t - b*j = -6, 2*t - 5*j = -3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -8) + (5 - (7 + 2 - 3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1635, -2670, -3705, -4740, -5775?\n\"Answer: -1035*v - 600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -157839222*j**3 - 115*j**2 - 65*j + 503 wrt j.\nAnswer: -947035332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5.856 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -60274*r**2. Let m(z) = 62*z**2 - z. Give m(i(l)).\nAnswer: 225243214712*l**4 + 60274*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6025 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m - 4*m + 0*m. Let i(u) = 118*u**2 + 91*u + 156. Let j(h) = -59*h**2 - 42*h - 72. Let r(c) = 6*i(c) + 13*j(c). Calculate r(z(k)).\nAnswer: -59*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-12))\/((-32)\/24)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a - 11. What are the prime factors of u(14)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -163, -354, -617?\nAnswer: -952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 14 = 2*g - 2, 4*s + 5*g + 7 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.9 - -0.9. Let v = -5.6 - f. Let h = -0.3 - v. Which is the biggest value? (a) -2 (b) -1\/8 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-4 + 5 - 4) + (-9 - 25)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 50388846?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -14*l - 1. Let q be c(-1). Let r be (-8)\/((-144)\/(-66)) + (-2)\/6. Let t = r + q. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59062170841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -41*m - 16452. Give o(-400).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -48, 362381, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30*(-14)\/875)\/(3*(-14)\/105)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 178326762*i**4 - 2*i**2 + 34502*i - 716?\nAnswer: 4279842288*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 55153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 551 = 583. Calculate the remainder when 290 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 211, -3 in decreasing order.\nAnswer: 211, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192460565?\nAnswer: 5, 11, 193, 18131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 0*h + 0*h**5 - 9\/40*h**6 - 1\/24*h**4 + 3\/2*h**3 + 0 + 20*h**2. Find the second derivative of b(n) wrt n.\nAnswer: -162*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 10:13 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 - -55. Suppose -5*b + p = -25, -i*p = -0*b + 5*b - 10. Suppose -b*k + 2*f + 415 = -203, -4*f = 12. What are the prime factors of k?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 + -61. Which is the nearest to 1\/2? (a) -5 (b) i (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t - 3. Let i = 14 - 12. Let h(j) = 6*j - 5 + 7*j - i*j. Suppose 12 = -4*f - 0. Calculate f*h(o) + 5*p(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 31, -45201 = 125*t - 122*t - 594*f - 864*f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 275\/(125\/(-5))*-4\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -5, -1, 1, 5 in increasing order.\nAnswer: -5, -1, 1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65015*r = -64064*r - 11412 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (12 - (3 + 0)) + -10\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**3\/3 + 5*y**2 + 3*y - 1. Suppose 21 = 2*c + 5. Calculate the remainder when 74 is divided by g(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*x**2 + 55*x**2 - 61*x - 1 + 68*x - 41*x**2.\nAnswer: 103*x**2 + 7*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1028 - 1027.6. Which is smaller: o or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(-35) - (-774)\/5. Suppose 5*k - d = 3*y - 0*y, -y + 39 = k. Suppose -5*i + k = -4*n + n, -4 = -2*n. Solve 5*w + i = w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtq when three letters picked without replacement from qttttbrttttttr?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (20 - 32) - 34 - -33.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of -m**6\/120 - m**5\/12 - 17*m**3\/6 - m**2. List the prime factors of k(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + k + 45 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 - 14 = -5*f. Suppose 0 = f*a - 5*a - 45. Suppose 33 + a = 8*q. What is the highest common divisor of 18 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -11\/70*s**7 + 0 + 0*s**5 - 34*s**2 - 9\/8*s**4 + 0*s**3 + 0*s**6 + 0*s. What is the second derivative of c(l) wrt l?\nAnswer: -396*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 568\/24 + (-2)\/3. Let m = 7 + k. What is the remainder when m is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) -2\/3 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79 - 39. Let d(q) = 12*q + 2. Calculate the remainder when f is divided by d(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 0.023\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 d when four letters picked without replacement from {f: 1, b: 6, d: 5, v: 5}.\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 257\/5 - 51. What is the closest to h in 0, 0.15, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100000110111111100 - 101?\nAnswer: 1100000110111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -193 at most as big as -580\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 138904589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*z - 464*z - 125 = 50 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/22 in 1\/18, -3, 4?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 - ((2 - -7) + -3). Suppose -5*c + 2*c = -p*t - 80, -4*t - 134 = -5*c. Solve -46 = 5*a - c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 0 - -6 - (-4 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 993183?\nAnswer: 3, 97, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 26413*j - 607501. Determine w(23).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -5 + (4 - 0) + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 647 + -32?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26877 is divided by 4967?\nAnswer: 2042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 162165 less than 162183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2122 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 23*q**2 + 25*q + 34. Let v be d(-24). Let b(c) = 161*c - 35. Let z(h) = -80*h + 18. Let t(g) = 3*b(g) + 5*z(g). Is t(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000043930327 rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 18, -144 in descending order.\nAnswer: 18, 7, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*y - 3 = 0, -2*p + 3*y - 1 = -4. Suppose -2*o - n = -5, p = -4*o - 4*n - 0*n + 8. Let l(a) = a**3 - 2*a**2 - 3*a + 1. Calculate l(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2. Let z(m) = -2*m + 211. Calculate f(z(k)).\nAnswer: -4*k**2 + 844*k - 44521","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 2\/13 (b) 5.5 (c) 3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 1161123*d + 46861*d.\nAnswer: 1207984*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 + 532*i**2 + 56846*i + 1301696.\nAnswer: -2*(i - 352)*(i + 43)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k**3 - 284*k**2 - 256*k + 1684. Give m(-70).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**3. Let r be 5 + -9*6\/(-9). Suppose -2*j + 13 = r. Give h(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 7:48 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-10\/7))\/(l*l\/l**(-7\/4))*l\/(l*((l\/l**(33\/2))\/l)\/l)*l*l**(-20) assuming l is positive.\nAnswer: l**(-131\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*t + 5*w - 7, 336*w = 11*t + 332*w - 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2970 + -2987.096. Let w = 17.27 - 0.27. Let a = b + w. What is a rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -6*i + 125*i - 10*i - 23*i**2 + 48*i**2 - 3*i**2 - 5 = 0?\nAnswer: -5, 1\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14163 + 14316. Calculate the smallest common multiple of n and 297.\nAnswer: 5049","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15988588 - 801640. Let w = -15186948.06599893 + n. Let i = w - -0.066. What is i rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -15. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 7:43 AM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 1100100101?\nAnswer: 1100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 974361 by -3.\nAnswer: -324787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - (-2)\/(-5)) + (-3850)\/(-250). Is 8949\/95 - 3\/f a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6323285 greater than or equal to 18969854\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -8*r + 5*r. Suppose 7*l = 3*l + r. Calculate the lowest common multiple of l and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 5. Let z = 180 + -15. What is the highest common factor of c and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.4844599t?\nAnswer: 484459.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 541765447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 9*h**3 + 2*h**2 - 6. Let c(q) be the first derivative of q**4\/4 - q - 426. Determine 6*c(a) - k(a).\nAnswer: -3*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20276*j*y**2 + 70*j*y + 382303*j - 174*y**2 wrt y?\nAnswer: -40552*j - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/3)\/c**(2\/9)*(c**(-2\/3))**(-31))\/(((c\/(c\/(c**(-1)*c)*c))\/c)**(-9))**(-1\/8) assuming c is positive.\nAnswer: c**(793\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 25*p**2 - 30*p + 20. Let x = 32 + -31. Let j(t) = t**2 - t + 1. Let g(a) = x*c(a) - 20*j(a). Find the second derivative of g(y) wrt y.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -133*p**2 - p - 13. Let l(r) = 134*r**2 + r + 11. Determine 6*l(q) + 5*y(q).\nAnswer: 139*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 18. Let h be 0\/k - (0 - 3). Suppose 0 = 4*n - 6*b + 4*b - 2, 2*n = -3*b - 3. Put h, -4, n in ascending order.\nAnswer: -4, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vfi when three letters picked without replacement from {f: 3, v: 4, z: 3, i: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + ffc92b?\nAnswer: ffc926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -3\/4. Let p = -5018\/19 - -264. Which is the second smallest value? (a) g (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g + 59. Let s = -109 + 104. Let q(a) = -2*a - 60. Let u(b) = s*i(b) - 4*q(b). Let t be u(19). Solve d - 10 = -4*p, 0 = -d - t*p + p + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*n - 435, -5*n + z + 336 = 1053. Let r be n\/(-14) + (-6)\/21. Calculate the common denominator of 13\/10 and r\/(-16)*87\/(-15).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 2*u**2 - 4*u - 4. Let g be a(2). Suppose -4*z + 4683 + 56555 = -5*s, 0 = 3*z - g*s - 45929. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4070407?\nAnswer: 11, 37, 73, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a day in hours?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a - 21*a + 46806 = 0. Does 29 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 12 = -5*r. Is 23 a factor of ((-4)\/(-5))\/(r\/160)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -32*b**3 + 1264*b**2 - 611*b + 78. Let m(a) = 16*a**3 - 632*a**2 + 307*a - 39. Let j(r) = 5*m(r) + 2*w(r). Factor j(x).\nAnswer: (x - 39)*(4*x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 3 + 2)*(n + 2 - 2)*(0 + 0 + 2*n + (-2*n + 0*n + 3*n)*(0 - 2 + 1) - 18 + 11 + 4 + n) in the form v*n**2 + t + y*n and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 16*a**2 - 14*a - 5. Let m be i(-15). Let h be (2\/4)\/((-10)\/m). What is the greatest common divisor of 17 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*j + 225*j - 78*j - 83*j - 29*j**2.\nAnswer: -29*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/177 - -874\/1947. Let q = r + 1\/22. What is the nearest to q in -1\/3, 2, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1.2, -1, 1, -6.12, -0.3, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 7777?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 14440?\nAnswer: 14433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1\/6, 4, -0.25 in decreasing order.\nAnswer: 4, -1\/6, -0.25, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1820 and 15652.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 10011100100010000100110111?\nAnswer: 10011100100010000100110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (25\/15)\/(4\/(-34)) and 10\/(-40) - (-183)\/20.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*w**2 - 17*w**2 - 5*w**2 - 7*w**5 - 4*w**5 wrt w.\nAnswer: -660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 less than 1.32?\nAnswer: -6.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 553 + 884. Is 3 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20\/25)\/(2\/(-5)))\/((-932)\/14446)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4)\/m**10*((m\/(m\/(m\/((m*m**(-5\/2))\/m))*m))\/m)**(-7\/6) assuming m is positive.\nAnswer: m**(-63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/4*96\/80?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 1. Let j(u) be the third derivative of -u**5\/15 + 2*u**3\/3 + u**2. Let v(b) = -6*j(b) - 30*w(b). What is the first derivative of v(g) wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -10*y. Let d(p) = 7*p. Let u(t) = 7*d(t) + 5*f(t). Let c(g) = 4*g + 2. What is c(u(z))?\nAnswer: -4*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/23 (b) -207 (c) 5 (d) 2 (e) 2\/5 (f) 8\/15 (g) -8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m - 6. Let k(a) = 2*a**2 + 5*a - 5. Let c be k(-4). Let j = c - 1. Determine w(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t**4 - 2*t**2 + 2*t**2)*(-1 + 1 - 1)*(-2 - 2 - 2) to m*t + z*t**4 + q + u*t**2 + a*t**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -226 + 241. Solve 4*x + 3*f = 21, x + 0*f + 4*f - o = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/418 and -113\/836?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/3)\/((-4)\/3))\/2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 w when three letters picked without replacement from {t: 9, w: 7}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -4*s**6\/3 - 14*s**5\/5 - s**4 + 2*s**3\/3 - 28. Determine z so that j(z) = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2, -2\/9, -0.4, -2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vi when two letters picked without replacement from zddziodivvvvzzviiz?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-4)\/1 - (55 - 131)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 357533, 715395, 1073257, 1431119, 1788981?\n\"Answer: 357862*h - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3033, 6322, 9685, 13092, 16513?\nAnswer: 19918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 82.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*sqrt(5)*6 - (sqrt(605) + 1 + sqrt(605))) - -6*sqrt(1620)*-6.\nAnswer: -658*sqrt(5) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by -3?\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 44*b**3 + 91996*b**2 + 22024632*b - 4007520 = 0.\nAnswer: -1815, -276, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -9*r - 37. Let p be u(-10). Let f be 5\/(-1) + -18 + p. What is the first derivative of -15*o**2 + 12*o**2 - 2 - 20 + f*o**2 wrt o?\nAnswer: 54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5326515367 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 2599787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -18908.\nAnswer: 3\/9454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 8*d + 55. Let y(a) = a + 7. Let i(q) = -6*u(q) + 51*y(q). Let l be i(-10). Suppose 28 = -4*g + 8. Sort 3, l, g in descending order.\nAnswer: 3, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 4*(-1*(-9 + 15) + (-12565)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of -287*p**4\/12 - 1598*p**2. Let r(b) = -2*b. What is r(v(h))?\nAnswer: 1148*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 22. Suppose z + 0*z - 46 = -a*v, -71 = -2*z - v. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 31559347*u**4 + 32618155?\nAnswer: 126237388*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11813 + 17421. Does 46 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*r**3 + 1850*r**2 - 56420*r - 38440 = 0. What is r?\nAnswer: -2\/3, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-10)\/(-36)*435\/(-10) and (1\/(-6))\/((-10)\/174).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-8))\/(6\/(-24)). Find the second derivative of -29*g - 43*g**3 + 40*g**3 + 52*g**s wrt g.\nAnswer: 294*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30742059, -61484102, -92226127, -122968128, -153710099, -184452034, -215193927?\nAnswer: -245935772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - s. Let f = -10 + 6. Let o = f + 4. Let k be m(o). Solve -5*a - 25 = -k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 89 = 14. Let h = b + 48. Suppose 0 = 4*l - 2*q - 14 - 20, 0 = -5*l - 4*q + 36. What is the remainder when h is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/63 + 2\/(-28)*2?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, v: 2, w: 3, d: 1, u: 1}. What is prob of picking 2 x?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*z - 72*z - 206*z - 1 + (7*z - 2*z - 3*z)*(1 + 0 - 2) + z - z - 2*z.\nAnswer: -247*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4ba67 + 98d?\nAnswer: 4c3f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10016.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r - k - 173, 2*k - 99 = r. Let z = -443\/5 - r. Factor -z*x**2 - 12\/5*x**4 + 9\/5*x**3 + x**5 + 0 + 0*x.\nAnswer: x**2*(x - 1)**2*(5*x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*v + 113 + 3*v + 2*v.\nAnswer: 20*v + 113","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -1\/9, 0.0816?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-114)\/27 - 4\/(-18). Let p = 2 + -2.2. What is the nearest to 0 in d, p, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 26, -68, -366, -970, -1982?\n\"Answer: -17*l**3 + 25*l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**2 + 0 + 1\/20*u**6 + 3*u - 2\/3*u**3 + 1\/15*u**5 - 1\/4*u**4. Let p(d) be the first derivative of g(d). Factor p(f).\nAnswer: 2*(f - 1)*(f + 1)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 52724249?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2780 or -2\/65?\nAnswer: 2780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 - 4*b**2 - 5*b - 5. Let t be n(-2). Suppose 2*d = -t*a - 18, 7 + 9 = -4*d. Let x be 3*(-1 - 0 - a). Solve p + 4 = x*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52264 - -4.31368.\nAnswer: -52259.68632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -183 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.082 in 0.5, -5, -3\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011000 (base 3) to base 14.\nAnswer: 43b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -635.482?\nAnswer: -635.682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**6\/60 + 3*z**5\/5 - 3829*z**4\/24 - 81*z**2 + 2*z + 3. What is the second derivative of n(v) wrt v?\nAnswer: -12*v + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9164*r**3 - 4594*r**3 + 3*r - 4588*r**3 - 3*r.\nAnswer: -18*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -22, 1, 0.4, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.98 - -8. Let k = -2.98 - n. Let w = 15 + -73\/5. What is the smallest value in k, w, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 3*u + 4 = 0, 3*h + 7 = 2*h + 4*u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 397494 and 78365206?\nAnswer: 14722","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4\/9, -0.4, -2\/241, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.043806 and 6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1664 = -4*x + 4*l, -2*x - 3*x + 2064 = -l. Suppose 2*s - j = 3 - 5, -s = -5*j + 10. Suppose o - t - x = -4*t, -o + 4*t + 377 = s. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**4 - 11*y**4 + 2*y**4 + (2*y**3 + 9*y**3 + 0*y**3)*(-y - 2 + 2) + y**3 + 2*y**3 - y**3 - y**4.\nAnswer: -21*y**4 + 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/7 (b) -0.9168 (c) 3 (d) -5 (e) 0.06 (f) -3 (g) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 3*u + 80. What is the remainder when (56\/(-42))\/((-4)\/114) is divided by u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -77, -76?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1033 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5120541*v + 1298851.\nAnswer: 5120541","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011534951176 rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 3*j**2 - 3*j - 4. Suppose -2*i - 22 = -f, f - 21 = i + 2*i. Let a = 21 - f. What is b(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -428*y - 2565. Let q be z(-6). Let s = -11 + 15. Suppose 2*p = -2*l + 2, l + q*p + 3 = -s. Put 7, l, 0 in decreasing order.\nAnswer: 7, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 5*t + 260, -3*l - t = -2*t - 136. Let r(q) = q**3 - 7*q**2 - 29*q - 152. Calculate the remainder when l is divided by r(11).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 5*o**2 - 2*o**2)*(51*o**2 + 19*o**2 + 565*o**3 - 579*o**3).\nAnswer: -14*o**5 + 70*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2. Let s(x) be the third derivative of 0 + 0*x**4 - 1\/60*x**5 + 0*x**3 + 0*x + 3*x**2. Calculate s(y(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 8*m**2 + 2*m - 4*m - 2*m**2. Let x(u) = 2*u - 5*u**2 - u + u. Let a = 3 + -6. What is a*h(f) - 4*x(f)?\nAnswer: 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4038438676?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 - p + 22)*(5*p**2 - 5*p**2 - 4*p**3) as j*p + n*p**3 + b*p**2 + r + t*p**4 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13522718977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 133 + -132.96. Which is the second biggest value? (a) -1 (b) -3 (c) 4 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 180504 and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1595 and 5890973.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 3*h - 23 = 0, -4*o - 2*h = 2*h + 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34*i**4 - 436*i**2 - 18561 wrt i.\nAnswer: 136*i**3 - 872*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -987.1 + 987. Put k, 2.94, 3\/7 in decreasing order.\nAnswer: 2.94, 3\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k**(-2)\/k)\/k)\/k)**(-37)\/((k**(-8)\/k*k)\/(k**6*k*k*k)))**(-46))**7 assuming k is positive.\nAnswer: k**(-65044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 t when three letters picked without replacement from yttt.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**2\/7 - 231576*y\/7 - 3351715236\/7 = 0 for y.\nAnswer: -28947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3*j**0)**11 assuming j is positive.\nAnswer: j**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvyqqqqqvqyvyqqyq. Give prob of sequence qvyy.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/89220 and -59\/2?\nAnswer: 89220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 - 37. Suppose r*y - 82 = 32. Calculate the common denominator of 43\/7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4350598920 to the nearest integer?\nAnswer: 1632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 8:30 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6478*i - 1564 wrt i.\nAnswer: -6478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 2.122\nAnswer: -4.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240, -473, -706?\nAnswer: -939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1437*c**4*q - 37*c*q**2 + 23*q**2 + 77*q + 3 wrt c?\nAnswer: 5748*c**3*q - 37*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 21. Let r(d) be the second derivative of -d**3\/6 - 5*d**2\/2 + 2*d. Calculate r(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3131607859 to the power of 1\/2, to the nearest integer?\nAnswer: 55961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 x when four letters picked without replacement from ddxddddddddxdddddd?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 - 27*s + 126. Determine k(10).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*3\/(-12)*2. Suppose 1 = r - 1, -3*r + 15 = -3*z. Sort z, 0, b in descending order.\nAnswer: 0, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 24*r - 75. Let u be j(-19). Suppose -2*n + u = 2*q - 62, -3*q + 5*n + 91 = 0. Calculate the remainder when 141 is divided by q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 681933801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -342314*c + 201. Is z(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2*w**2 + 1)*(-1 + 1 + 1) + 0*w**2 + w**2 + w**2 + w**2 - 10*w**2 + 3*w**2)*(44*w - 6*w + 93*w) + 3 + w**3 - 3.\nAnswer: -261*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 + 120. Does 19 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 11 - 3. Suppose -4*s = -2*d + 12, 0*d - s = -h*d + 12. Suppose 3*v = -5*k + 25, v = d*v + k - 49. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*t + 9, -3*p - 4*t = 8. Let n(s) be the third derivative of 1\/40*s**6 + p*s + 1\/70*s**7 + 4*s**2 - 1\/8*s**4 + 0*s**3 + 0 - 1\/20*s**5. Factor n(v).\nAnswer: 3*v*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -4. Solve -6*z = -5*d - q*z - 27, d + 4*z = 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -23 - 45b6?\nAnswer: -4619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1700288 and 125612?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/2 of a millennium?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, y: 1, t: 1, q: 2}. What is prob of sequence yqt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2. Let q be x(2). Suppose 0 = -q*b + 69 + 27. Let h = -15 + b. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = c + z - 7, -5*z - 60 = -5*c. Suppose i + 26 = 3*i. Calculate the lowest common multiple of i and c.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**2*y**2 - 34*h**2*y + 13*h*y**2 + 4038*y**2 - 146*y wrt y.\nAnswer: 4*h**2 + 26*h + 8076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6392830 rounded to the nearest one hundred thousand?\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7975107?\nAnswer: 3, 7, 277, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y. Let x(g) = g + 2. Calculate 6*f(c) - x(c).\nAnswer: 5*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/2, 0.4, 0.2, -4, -1\/357?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 1961*g - 1181. List the prime factors of r(6).\nAnswer: 5, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2454, -2483, -2512?\nAnswer: -2541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 903 is divided by 444.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99076 is divided by 24767?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 676 is divided by 98?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29505?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide (-7160)\/4*(-114)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85 + -44. Let g be 3\/6 - z\/(-2). What are the prime factors of (-14)\/g*51\/(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 2\/15*n**3 - 3 + 0*n**2 - 2\/5*n. Find w, given that v(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.025530762 to 1 dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -4, -1, -0.2, -18.36.\nAnswer: -18.36, -4, -1, -0.2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 7*n**2 - 6*n - 8. Let l be i(6). Let k = -1171 + 1167. What is the remainder when k\/l + 334\/4 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27807 = 467*h - 477*h + 295*h - 7287 for h.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -10*j**3\/3 + 376. Let f(v) = v. Give f(p(h)).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 - 76*k + k**2 + 0*k**2.\nAnswer: k**2 - 76*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + 4*g - 3*g)*(3 - 2 + 0)*(76*g**3 + 6*g**3 - 5*g**3 + (-2*g + 1 - 1)*(-g**2 + 3 - 3) + 0*g**3 - 2*g**3 + 4*g**3).\nAnswer: 243*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 157748 and 1106948.\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 239*w - 5. Let a(l) = 160*l - 3. Determine 8*a(z) - 5*y(z).\nAnswer: 85*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 408314326980 from -0.2.\nAnswer: -408314326980.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/39, -3\/4, 7264 in decreasing order.\nAnswer: 7264, -2\/39, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 681 is divided by 61.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 10*s + 9. Let z(a) = 3*a**2 + 2*a + 2. Calculate the remainder when z(s) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 552, 1155, 1756, 2355, 2952?\n\"Answer: -v**2 + 606*v - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 36\/(-10)*40\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 divided by 10\nAnswer: 47\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55654172?\nAnswer: 2, 7, 1987649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -360 - -1798\/5. Let k = 13 - 9. Which is the second smallest value? (a) -141 (b) k (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2035 + -899. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 69 or 26?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 + 33*a - 125. Determine s(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*a + 824701 = -1934089. What are the prime factors of a?\nAnswer: 2, 5, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.037 - -0.03700162. What is b rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 5. Let k be -7 - -5 - x\/(-1). Suppose -2*z - 3*z + 8000000 = k. What is z rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45444 (base 6) in base 3?\nAnswer: -22211101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001885201203 rounded to six dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1831583303 divided by -6?\nAnswer: -1831583303\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 19*q + 14*q - 21 = -2*z, 0 = 3*z + 3*q + 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1384327 is divided by 840.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46552 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-442)\/21 + 8\/(-28). Let t = -22 - o. Which is the nearest to -2? (a) t (b) -0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25297)\/(-1234)*(-136)\/(-82)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2. Let f(g) = 61*g - 90*g + 56*g + 2*g**2 + 8*g**2. Calculate f(w(r)).\nAnswer: 10*r**4 - 27*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -925 greater than -863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4171290.\nAnswer: 2, 3, 5, 17, 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4 + 5*g**3 + 25*g**2 + 15*g.\nAnswer: -5*g*(g - 3)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(4\/3)\/p))\/(p*p*p**(19\/3)))**34 assuming p is positive.\nAnswer: p**(-782\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 0*d = -20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 92 + -277\/3. Let o = -2.1 - -1.8. Which is the third biggest value? (a) 1\/2 (b) -5 (c) o (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15381, 17820, 20259?\n\"Answer: 2439*z + 12942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 10:28 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -21825.7 to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 8 - 8 - 144*d**2 + 19 - 45*d**2 + 3*d in the form w + b*d**2 + v*d and give b.\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -3*z + 5*z. Let k = 33 - z. Does 11 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 8 + 3 = 0. Is 9 a factor of -2 + i - (-12 + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*n - 12*n - 5*n to the form y + x*n and give x.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 868989 and 1474648.\nAnswer: 48663384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oojxxxjoxooojojj. What is prob of picking 3 o and 1 x?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 78*i**3 - i**2 - i - 1. Let w be n(2). Let b(j) = -4*j + 12. Let r be b(2). Suppose -2*g - 5*s + 315 = 0, r*g - s - 2*s = w. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 - k**2 + 1. Let t(u) = -1024*u**3 - 40*u**2 + 40. Give -40*s(f) + t(f).\nAnswer: -984*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 55*h**2 - 2*h - 3. Calculate the remainder when b(-2) is divided by (-6)\/300*-695 + (-5)\/(-50).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/7)\/b)\/b**(5\/2)*(b**(3\/5)\/b*b)\/(b*b**(-4)) assuming b is positive.\nAnswer: b**(-13\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/9))**(-2\/19))**(2\/73)\/(((n\/n**(1\/5))\/n*n**(-2\/17))\/(n*n*n\/((n\/(n*n**(-1\/13)))\/n)*n*n*n**2)) assuming n is positive.\nAnswer: n**(113679038\/13793715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -10?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*y + 14*y + 102 = 0. Factor 3\/8*n**5 - 3\/8 + 3\/4*n**3 + 9\/8*n**4 - 9\/8*n - 3\/4*n**y.\nAnswer: 3*(n - 1)*(n + 1)**4\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/51197868 and 5\/16.\nAnswer: 204791472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -910027 (base 15) in base 14?\nAnswer: -cb31a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171578*v**2 + 514749*v**2 - 5*v**3 - 171570*v**2 - 171601*v**2.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**2 - 96*n + 596. Let k be m(24). Solve -1510*s + 1514*s = k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2278.\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 452, 902, 1350, 1796, 2240?\nAnswer: 2682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -72*s**2 - 218*s + 1. Determine r(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -142 + 146.02. Let w = -0.02 + r. Which is the smallest value? (a) 1\/4 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21417 - -21416. Sort 10, -71, h in descending order.\nAnswer: 10, h, -71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/l**(-1\/4)*l*l**(2\/3) assuming l is positive.\nAnswer: l**(47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 5. Let n be ((-5)\/2)\/(2\/(-4)). Is f(n) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 17*p**2 - 2*p - 7. Let n(t) = -317*t - 262*t + 581*t. Calculate y(n(b)).\nAnswer: 68*b**2 - 4*b - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62 by -64.\nAnswer: 31\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2762202 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -114, -431, -902, -1479, -2114, -2759, -3366, -3887?\n\"Answer: 8*d**3 - 125*d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-8))\/(a*a\/(a\/a**(-5))*a)*a**0\/(a\/a**(-9)) assuming a is positive.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from {h: 2, d: 1, p: 4, i: 2, y: 5}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 762072, 3048310, 6858692, 12193206, 19051840, 27434582, 37341420?\n\"Answer: -2*u**3 + 762084*u**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 233756173 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/84 and 1830\/(-231) - -8 - (-4)\/(-14)?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4282 + 0\nAnswer: 4282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 0. Suppose -b*q = -3*q. Let u = q + 7. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -154 greater than -771\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2)*s)**(5\/7)*s**7\/(s**16\/s) assuming s is positive.\nAnswer: s**(-97\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 129*d**2 - 2*d + 2. Let h(v) = -v. Let t(j) = -h(j) + n(j). Let z be t(1). Suppose 5*r - z = 120. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 6:19 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkkwrprkjrkf. What is prob of picking 1 j, 1 r, and 1 f?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 12\/11, 0.2, 2\/7, 1\/4 in increasing order.\nAnswer: 0.2, 2\/9, 1\/4, 2\/7, 12\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 13, 14, 1, -5771, 0, -3.\nAnswer: -5771, -7, -3, 0, 1, 13, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/81 and 11\/52443702?\nAnswer: 471993318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 567601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*a - 33*a + 210000 = -19*a. What is the greatest common divisor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10, -37, -64, -91, -118?\n\"Answer: -27*j + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 5:33 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -34 + -2573?\nAnswer: -25a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence off when three letters picked without replacement from {o: 1, v: 1, f: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -3214\/182305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -98*j**5\/5 - 938*j**4\/5 - 3158*j**3\/5 - 846*j**2 - 1728*j\/5 - 216\/5 = 0.\nAnswer: -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38.00179 - 0.00179. What is the closest to 2 in t, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1613 + 2366021?\nAnswer: 2364105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 123 - 123.34. Let b = 0.66 - z. Which is greater: b or -18?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9136523 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**5\/60 + 7*a**4\/24 + a**3 + 15*a**2 - a - 16. Let m(c) be the first derivative of w(c). Determine m(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 - 3.4. Let p = -44376\/11 - -4034. Let w = 48 - 143\/3. Sort x, p, w in ascending order.\nAnswer: x, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i - 12011. Let g(m) = 5*m**2. Calculate l(g(w)).\nAnswer: 5*w**2 - 12011","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -3*u, 32815 = 5*g - u. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24181, -193947, -654747, -1552099, -3031521?\nAnswer: -5238531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84877 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/18459 and 37\/26515914.\nAnswer: 556834194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, 0.11, 1565, -12?\nAnswer: 1565","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*q - 283*q + 13365 = 0. What is the lowest common multiple of 264 and q?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/2)\/(-5)*-12. What is the highest common factor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2802, 2731, 2660, 2589, 2518, 2447?\nAnswer: 2376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i + 3*i + i)*(-4 - i**2 + 4)*(668*i + 182*i - 526*i + 1208*i) in the form k*i**2 + p + g*i**3 + l*i**4 + d*i and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/23397 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.05, -2\/3, 0.5, 0, 64193.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3a2 - -5?\nAnswer: 3a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**2 + 27*y + 16. Is a(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5874 is divided by 2936?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 71 = -87. Let t = u - -82. Suppose 0 = -2*n - 5 + 35. Solve -t*m - n = 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -9195*c**3 + 6*c**2 + 9073. Let b(l) = 18391*l**3 - 14*l**2 - 18106. Let x(h) = 3*b(h) + 7*j(h). Find the first derivative of x(g) wrt g.\nAnswer: -27576*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13151 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 263 - 69. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-28) + (-12)\/(-7). Suppose m - z - 2 = 0, -4*m - 7*z - 1 = -o*z. What are the prime factors of m\/(4\/576) + 4?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 227686 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) -0.8 (c) 3 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 217 - 210. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**2 - 777435*d - 777430 = 0. Calculate d.\nAnswer: -155486, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2.6 (b) -10410 (c) -2 (d) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -790.1275220592 take away -0.4?\nAnswer: -789.7275220592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**4 - 8*g**2 + 3*g. Let t(z) = -12*z**4 + 47*z**2 - 17*z. Let b(r) = 34*j(r) + 6*t(r). What is the third derivative of b(w) wrt w?\nAnswer: -96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*n**3 - 24*n**2 - 4396 + 6*n**4 + 8801 - 4403 to the form q*n**4 + d*n**2 + p*n**3 + b + c*n and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 5*b - 3 - 8, -17 = b + 4*n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 46385428 + -2?\nAnswer: 46385426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 0*g**5 + 0*g**2 - 248 - 107\/3*g**6 + 0*g + 0*g**4 + 263\/3*g**3. Find the third derivative of o(x) wrt x.\nAnswer: -12840*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001901249 rounded to 5 decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of u**4\/12 - 7*u**3\/6 + 9*u**2\/2 + u. Suppose -5*f = -3*q - 15, q + 3*q = -4*f + 44. Determine z(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3)*j*j*j\/(j**(1\/14)*j))\/(j*j**(-15)*j*j\/j**(-14)*j*j) assuming j is positive.\nAnswer: j**(-59\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12980?\nAnswer: 2, 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2250.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 3*s + 14. Let z(p) = 4*p - 12. Let j be z(2). Let d be (-2 - 3)\/(j + 3). Let f be m(d). What is the greatest common divisor of 36 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-4)*5 - (-3 - -3). Suppose -17*g = -18*g + a. Suppose -420 - 530 = -g*b. What are the prime factors of b?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2 = -h, -5*b + 3*h - 5 = -3. Let l be ((-2)\/(-4))\/((-18)\/(-12)). Let -l*x - 1\/2*x**b + 0*x**3 + 0 + 1\/6*x**4 = 0. Calculate x.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 0*m. Let i be m\/2 - (-4)\/1. Suppose -k - 3*l + 12 + 14 = 0, 0 = -5*k - i*l + 119. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 + 0. Let o(b) = -32*b + u*b - 27*b. Does 29 divide o(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -279 + 282. Suppose -d*w + 6*a - 7*a + 849 = 0, -5*w + 5*a + 1415 = 0. What are the prime factors of w?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 738419148.\nAnswer: 2, 3, 127, 373, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 27*p + 3. What is the remainder when f(5) is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 223194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 2008 divide 15369328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-62 + (-2 - -3))\/(-1). Suppose 0 = -n + l + 20, 2*n - j = -0*n - 5*l. Round n to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5339\/6 + -892. Let w = -5121601\/10 + 510599. Let i = w - -1556. Find the common denominator of p and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4 - 132*c**3 + 273*c**2 - 138*c.\nAnswer: -3*c*(c - 1)**2*(c + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/288 and -77\/32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 2. Let a be y(0). Suppose 0*h - 6 = -a*h. Suppose 2*l + h*v = -0*v + 62, 2*l + v = 66. Calculate the remainder when l is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1552796ug to tonnes.\nAnswer: 0.0000000000001552796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*u = 422, -8*a = -3*a + 3*u - 521. Suppose -a*l = -100*l - 51. What is the remainder when 63 is divided by l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11973964127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 22\/5, 9 in descending order.\nAnswer: 9, 22\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 12*q**2 + 847*q - 13114. Give b(15).\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 0 + (-1)\/(4\/(-30)). Suppose r*u**4 - 1\/2*u - 17\/2*u**3 + 0 - 3*u**5 + 7\/2*u**2 = 0. What is u?\nAnswer: 0, 1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*y + 5 - 15, 1 = k. Let g(i) = -1 - 2*i - y + 4. Let b(h) be the second derivative of -h**4\/12 + h. Give g(b(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**3\/6 - 8*l**2 + 273*l\/2 + 7605 = 0.\nAnswer: -39, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 3*w**2 - 2*w. Let f(r) = 3*r**3 + 10*r**2 - 7*r. Let g(y) = -2*f(y) + 7*u(y). Let o(h) = -3*h**3 - 2*h**2 + h - 1. Give -2*g(m) - o(m).\nAnswer: m**3 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300) + (-3*sqrt(1300))**2 + sqrt(1300) + (-2 + -1*sqrt(13))**2.\nAnswer: 24*sqrt(13) + 11717","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178 a factor of 65344838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d - 205. Determine b(-25).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (6 - 2 - 0) + -19.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 5. Let a be (-6)\/z + 2 - -1. Let g = -1 + 0.7. What is the biggest value in 0.3, a, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 11. Suppose -y = -x - 0*x + 12, x = 5*y. Let j = x + 5. Calculate the least common multiple of s and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*n - 967 = -32*n + 5*c, -3*n = 4*c - 976. Suppose -30*h + n = -21*h. Solve -4*o - 4*l = 0, 5*o - l = 3*l - h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4 = b. Suppose -y - 26 = -b*y. Let i(g) = -g**2 + 20*g - 57. Let j be i(12). Calculate the greatest common factor of y and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -43*g**5\/20 - g**4\/12 - 8*g. What are the prime factors of x(-1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -754*k - 549*k = -790*k - 20007 for k.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 7:18 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 110*z - 86. Let q be u(1). Suppose -r - r = -y + 18, -4*y = 5*r - 111. Is y less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17\/18 + 371\/450. What is the second smallest value in -2, 2, t, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6721 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: How many minutes are there between 9:45 PM and 9:59 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o. Let b(s) = 205*s + 298*s - 73*s - s. Give i(b(t)).\nAnswer: 858*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1333074.6 < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 15 = -1. Let q = h + -10. Let i = 6 + -2. Solve 2*t - 30 = i*k, t - q*t = -k - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u. Let o(f) = 32*f + 4. Let p(m) = 20*i(m) + o(m). Let d be p(3). Find the common denominator of -52\/7 and 24\/d - (-314)\/110.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2377931 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: Let c be 130\/8 - (-1 - -2). Let z = 419\/28 - c. Let k be (-2)\/6*(-6)\/20. What is the third biggest value in k, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 920 - 663?\nAnswer: 29b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + g + 8)*(2 - 2 + 2*g**3).\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + (-6 + 203\/35)*12015\/(-189))*-476?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 - -1 - (-22 - (-58 + 29 + 15))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001000 (base 2) to base 14.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(95) + -1*sqrt(95) - sqrt(95)))\/(sqrt(15)\/sqrt(12)) - ((sqrt(19) - sqrt(76)\/(4*sqrt(4))) + sqrt(931) + -1)**2)*1.\nAnswer: -18275\/16 + 55*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + sqrt(13)) + 1.\nAnswer: -3*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10538 - 7006. Does 18 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -6. Which is the nearest to 6? (a) -3\/5 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d3 + -38a?\nAnswer: -2b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 433595 is divided by 28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 8 - 6*m - m**3 + 1 + 25 in the form z + k*m**3 + l*m**2 + x*m and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, j: 3, d: 4}. What is prob of sequence jdds?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + 0)\/(10\/(-466)). Suppose 77*a + 62*a + 1518 = 106*a. Which is bigger: a or p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 397 - 18*j**2 + 380 - 1185 + 394 in the form a*j**2 + o + v*j and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 75*p - 594. Let v(a) = -18*a + 149. Let c(g) = 2*h(g) + 9*v(g). What is the tens digit of c(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 14) in base 2?\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63 - -58. Let j = -9482 + 76059\/8. Let r = j + -25. What is the nearest to -0.1 in u, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y + 6*y - 2*y)*(7*y + 10*y - 4*y)*(-3*y - y + 6*y + (2*y + 1 - 1)*(-3 + 2 + 3) + 11*y + 15*y + 23*y) as d*y + r*y**3 + s*y**2 + m and give r.\nAnswer: 715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 1605*m - 1075. Calculate the lowest common multiple of f(3) and 99.\nAnswer: 33660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/3 (b) 65 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1825 divided by 73?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 5*f**2 - 5*f - 8. Let s be z(6). Let d be (7 + -7)*s\/6. Suppose d = l - 5*l + 44. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**4\/24 - s**3\/3 - 5*s**2. Let n be j(-7). Solve 3*d - n = 4*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 27192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/2222 and 25\/12221.\nAnswer: 24442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 12. Let r be l(7). Let g(m) be the first derivative of 1\/2*m**2 - 2\/3*m + 1\/15*m**r - 1\/4*m**4 + 1\/9*m**3 - 6. Let g(q) = 0. What is q?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1803.2 - -1803.2007769. Round a to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -102*q**5 + 3*q**4 + 102*q**3 - 3*q**2 = 0.\nAnswer: -1, 0, 1\/34, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (120\/(-33))\/((-1995)\/26334)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - s**2 + s. Suppose 0 = -2*i - 3*f + 2*f, -7 = i + 4*f. Determine u(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192 - 222 = -5*c + 5*b, -b = 1 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(52702 - 52702 + 300*l).\nAnswer: -300*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1\/3))\/(n**5\/n))\/(n\/(n\/(n\/(n*((n*n\/(n*n\/(n\/n**(-5))))\/n)\/n*n)))*n**(-1\/4)*n) assuming n is positive.\nAnswer: n**(19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + 0\/(-2))\/3. Let y(q) = -q**3 - q**2 + q. Give y(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - 2b5a50?\nAnswer: -2b5a53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -11*s**5\/20 - 7*s**3\/6 + 11*s. What is the second derivative of t(v) wrt v?\nAnswer: -66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 - -0.12446?\nAnswer: -95.87554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + f**2 + 3*f + 29. Let p be d(-3). Solve 0*i + 14 = -2*w + 5*i, 0 = 3*w - p*i + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 3\/26 (b) -12 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d + 1. Suppose -2*l = -2*f + 2, 1 - 5 = -4*f + 5*l. Let u be h(f). Let s(y) = -y**2 + 2*y + 3. Let g be s(u). Solve g*m + 9 = -3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*n + t + 5 = 0, 3*t - 17 = -5*n. Suppose -3*j = j - 2*f - 14, 0 = -n*f - 20. Suppose 4*s = -1 - 7. Sort j, -7, s in descending order.\nAnswer: j, s, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -508, -1220, -2136, -3256?\nAnswer: -4580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 84564 + -84553. Let n be 1\/(-4) + (-45)\/12. Put n, q, 0 in decreasing order.\nAnswer: q, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1131396 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -14*l + 120. Give t(34).\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2903242 (base 11) in base 15?\nAnswer: -68a842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**4 + 4900*o**3 + 1175750*o**2 - 12127500*o + 30628125.\nAnswer: 5*(o - 5)**2*(o + 495)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 286 = b. Suppose 5*h = -3*f + h + b, -5*f + 3*h = 2. Find x such that 2*x + 1\/3*x**f + 3 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2178*c - 1. Let w be a(-6). Let g(p) = -p**3 + 39*p**2 - 139*p - 112. Let h be g(32). Suppose 0*j + s = j - h, 5*j + 4*s - w = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 - -18. Let z = u - -41. What is the second derivative of -z*f**3 + f**3 - 87*f**2 + 87*f**2 + 28*f wrt f?\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 6*l + 20. Suppose 188 = -5*m - l*r, 3*m - 4*m - 34 = 2*r. Is 17\/(m\/14 + 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - t = -3000. Calculate the highest common factor of 180 and t.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1485*v**2 + 493*v**2 + 348*v**2 - 1336*v**2 - 891*v**2 + 3047 wrt v.\nAnswer: -5742*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqjv when four letters picked without replacement from {j: 1, q: 5, v: 5}.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 3\/(-2))\/(((-693)\/(-84))\/11)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/6)\/(6 - (-235)\/(-39)). Let o be (-5 - 1)\/((-2)\/(-3)). Let l = d - o. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.021 - 0.021. Let z = 13 - k. Let a = z + 7. What is the smallest value in -2\/11, a, 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**12\/t)\/t)\/(t*t*(t\/(t**9*t))\/t))**30\/((t**(-1\/4))**(-3\/26))**(1\/4) assuming t is positive.\nAnswer: t**(224637\/416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 7:46 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, 4\/5, 0.1024, 1.8, 2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 11670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1369708112 and 97\/24?\nAnswer: 4109124336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 242517403*d**3 + 4368*d**2 - 4175 wrt d?\nAnswer: 1455104418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123*-0.91.\nAnswer: -111.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -7*n + 225. Let h be 6\/9 - 2*n\/84. Which is the closest to 2.2? (a) 3 (b) 2\/11 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133652557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and -646049.\nAnswer: -19381.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-4))\/((-360)\/(-20)))\/(-1)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -7*h + 9. Calculate f(4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 (base 12) in base 6?\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 12:02 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + 3 + sqrt(405) - sqrt(405)) + sqrt(405) - (sqrt(320) + 5).\nAnswer: -2 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**3\/6 + m**2 - 6*m + 258. Factor k(v).\nAnswer: (v - 2)*(v + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of x**3 + 3*x**2\/2 - 6*x - 9. Determine t, given that b(t) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 7 + 2 = 0. Let d = z - -7. What is the smallest common multiple of d and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 2*v + 2*v)*(-150*v + 150*v - 27*v**2) - 1 + 1 + 25*v**3.\nAnswer: 79*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/168 and -71\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143, 310, 477, 644, 811?\nAnswer: 978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.58672cm to kilometers.\nAnswer: 0.0003458672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/924 and 97\/56.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 2*l = -325. Let x be (-13)\/l - (-547)\/(-45). Let z = x + 110\/9. Put z, -5, 3\/5 in descending order.\nAnswer: 3\/5, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2302 + -2122300?\nAnswer: -2131202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -25. Let q = o + -3. What is the units digit of q\/28 - (-124)\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.48692337 - -0.487. What is t rounded to 6 decimal places?\nAnswer: 0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3255152210 + 10?\nAnswer: -3255152200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/944 and 89\/1295050?\nAnswer: 10360400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 PM and 12:16 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, u: 18}. Give prob of picking 2 u.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b**3 + b**2. Let m = -4 - -3. Let x be g(m). Let n(p) = -p**x + 2*p + 1 - 4 + 3. Determine n(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 b when three letters picked without replacement from {g: 1, j: 3, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 - 9*h**2 + 9*h + 476. Let s(u) = -u**3 - 4*u**2 + 4*u + 238. Calculate -4*b(k) + 9*s(k).\nAnswer: -k**3 + 238","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*1567244.\nAnswer: -1567244","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 999404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618 is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (53 - (-1 - -19 - -5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 + 25. Let c(k) = 26*k - 87. What are the prime factors of c(d)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/34 - 1103\/(-17). Let l = s + 50. Calculate the remainder when l is divided by 61.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4587 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3))**(-1\/20) assuming r is positive.\nAnswer: r**(3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8*1013\nAnswer: -8104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1\/4 (b) 0.2 (c) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 5:39 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 31922000 to the nearest one hundred thousand.\nAnswer: 31900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 69486 and 444.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -8*s - 45. What are the prime factors of t(-18)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9130)\/(-990) - 3*3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 61 in -15806, 2, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 4*y**2 - y - 12. Calculate t(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5*1\/(-20) + (-6)\/88\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 10) to base 2.\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of c**5\/40 - c**4\/6 + c**3\/4 + 5*c. Factor h(b).\nAnswer: b*(b - 3)*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 10 + -3 + 2 - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 0.5, -0.2, 5 in decreasing order.\nAnswer: 5, 4\/5, 0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387922 + 76930 = -19*t. Suppose 5*g + t = 51718. Round g to the nearest one hundred.\nAnswer: 7100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64253 and 2345?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 356368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4 - 2 = 0. Let m(s) = s**3 - 8*s**2 - 9*s + 1. Let t be m(9). Which is smaller: t or o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -72 + -30. What is the common denominator of 85\/8 and (-10*(-5)\/(-15))\/(8\/x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 4*g**2 + 17*g + 16. Is 2 a factor of j(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, w: 15}. What is prob of picking 3 j?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9727734nm to kilometers.\nAnswer: 0.0000000000009727734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**4\/5 - 14718*z**3\/5 + 73689*z**2\/5 + 117828*z\/5 - 176796\/5 = 0. Calculate z.\nAnswer: -4911, -2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6230005 rounded to 2 decimal places?\nAnswer: -1.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k**3 + 3*k**2 + 6*k - 6. Let w = -30 + 29. Let n(a) = -a**3 - a**2 - a + 1. What is w*i(q) - 6*n(q)?\nAnswer: 2*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.024 - 0.076. Let q = -6 - g. Let c be ((-2)\/16)\/((-1)\/(-2)). What is the nearest to q in 0.5, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 5:16 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 9*n**3 + 14*n**2 + 49*n + 63. What is the units digit of m(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*p + 45 = 3*p, k - 57 = -p. Suppose 2*g = 7*g - k. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3956*x + 3960*x = -4, 3*z = 2*z - 4*x - 18 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -21. Let g be 9 + -5 + (3 - m). Suppose g*a - 5891556 - 338444 = 0. Round a to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (42\/36)\/((-2303)\/(-282))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -287 - -6600\/23. Which is bigger: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*u**3 - 298*u**3 + 23*u**3)*(-2*u + 2 - 2).\nAnswer: 476*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 4.8\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 17*x**2 - 28*x + 35. Let j be f(-15). Suppose 2*q = -3*n + 11, 4*n - j*q - 7 + 0 = 0. Solve c = -n*z - 6, -c + z + 7 = -3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16472 - 5544 - 5532 - c + c**3 - 5539 to f*c + g + i*c**2 + u*c**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + t + 21, -4*l + 14 = t + t. Let n(x) = l*x - 5*x + 3*x. Let z(o) = 0*o + 4*o - 3*o. Determine n(z(y)).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 9:58 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-4))\/((-830)\/415)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 1\/4, 75, 2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -17*v + 97. Let g be w(5). Solve -9*h = -g*h + 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 901*x**6\/10 + x**3\/3 - 765*x**2 - 1479*x. What is the second derivative of r(c) wrt c?\nAnswer: 32436*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15102\/2 - -25*4\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**3\/6 + 15*q**2\/2 - q. Calculate the remainder when 28 is divided by m(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13 + (-1938)\/76 - 4*(-3)\/2. Which is the third smallest value? (a) i (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 944637525 a multiple of 3237?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 18, 10, -20, -84, -194, -362, -600, -920?\n\"Answer: -2*o**3 + o**2 + 3*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4467, -5832, -7207, -8598, -10011, -11452, -12927, -14442?\nAnswer: -16003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3428115*f**4 - 34815*f**2 - 11 wrt f?\nAnswer: -82274760*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 396247?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(12\/11))\/(g**(-2\/31)\/g))\/((g*g**15)\/(g\/(g*g**(3\/11)))) assuming g is positive.\nAnswer: g**(-5217\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-104)\/16 - -9)*1*2116\/(-115)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/2 - 6388230*y + 6801580422150.\nAnswer: 3*(y - 2129410)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of 2*q - 4*q - q**3 + 0*q + 2*q**2. Find the common denominator of 5\/11 and k(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11188 = -4*l + 4*v, -2*v + 6713 = 4*l - 4523. What is the highest common factor of 297 and l?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a century in years?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(108)*2 + 2 + (0 + sqrt(108) - sqrt(108)))**2.\nAnswer: 48*sqrt(3) + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (-392)\/136 - (-2)\/17. Let m(h) be the first derivative of 0*h**2 + 7*h - 2 + 2\/3*h**z. What is the derivative of m(a) wrt a?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -206*j = 1848*j + 221832 for j.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 + -0.5. Let i = d - -0.9. Let a = i + -0.9. What is the closest to a in -4, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 10874*k**2 - 43472*k - 43464.\nAnswer: -2*(k + 2)**2*(k + 5433)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 47*b - 3236. What is w(69)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 4, -85, 3, -2\/35 in decreasing order.\nAnswer: 8, 5, 4, 3, -2\/35, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -21761, -2, -1\/2, 2, -2\/91 in decreasing order.\nAnswer: 2, -2\/91, -1\/2, -2, -21761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410*d = -1055 + 5975 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48\/5*x + 22\/5*x**2 - 72\/5 + 2\/5*x**3 = 0. Calculate x.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5443\/306 - -292\/17. Let z = 77646183\/14 - 1746488719\/315. Let b = 12217\/7 - z. Calculate the common denominator of b and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 9:04 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ju when two letters picked without replacement from uukuj?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -8, -12, -18, -26?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7123 = -781*r - 958 + 1645. Let n = 2 + -6. Let z be 3 + (1 - n\/(-2)). Solve -l + 5*p = -r, z*l - 3*p + 2 = -4*p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 12*r + 33 = 0. Differentiate -14*f**2 - r - 15 - 12 - 2 - f**3 with respect to f.\nAnswer: -3*f**2 - 28*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2))**(30\/13)\/((b\/b**(-1))\/b)**(-3\/14) assuming b is positive.\nAnswer: b**(-801\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a hour in seconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08 + -0.0218913.\nAnswer: -0.1018913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12320 (base 4) to base 12.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z = -2*z - 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/31320 and -91\/15660.\nAnswer: 31320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1012102002002 (base 3) to base 15\nAnswer: -c903b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 672 is divided by 207?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.03852 + -3.11952. Let p = -3 - c. What is p rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 12:41 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 73 and 666?\nAnswer: 48618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7064, -13076, -19090, -25106, -31124, -37144?\nAnswer: -43166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from nscxscs.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + p + 2*p)*(3*p - 4*p + 3*p) - 3*p**2 + p**2 + 7*p**2.\nAnswer: 11*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -21042000.\nAnswer: 1\/1503000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 4 + (-2 + 3 - 2)*(0 + 0 + 2) - 1 - 2 + 2)*(194 - 194 + 650*t).\nAnswer: -650*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 - -2 - -3 - (73 - (-21 - -101)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2945, -2, 7, -0.5 in increasing order.\nAnswer: -2, -0.5, -0.2945, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -5894*l - 7914. What is the tens digit of p(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 5*y = -6, 717*f - 718*f + 8 = -5*y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 5)*(-4 - 2 + 7)*(n**3 + 5*n**3 - 5*n**3).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*s**6 - 55*s**5 - 48*s**4 + 19493*s**2?\nAnswer: 240*s**3 - 3300*s**2 - 1152*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + -9 + 17 + 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + sqrt(200) + 2)*5 + sqrt(200))**2.\nAnswer: 2200*sqrt(2) + 24300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 603396 and 216.\nAnswer: 1206792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 3. Let c be k(4). Let b(w) be the second derivative of -3*w**4\/4 - w**3\/6 + 327*w. What is b(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (112\/(-3))\/(-4)*-3. Let a = m + 25. Let w be (-72000)\/a*18\/12. What is w rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2. Let o(k) be the third derivative of -7*k**6\/360 - 5*k**4\/12 + 4*k**2. Let x(c) be the second derivative of o(c). Give x(j(m)).\nAnswer: 28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17\/5? (a) 0.1 (b) 34 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 257813918 a multiple of 2821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sgw when three letters picked without replacement from gseosweeeswssewef?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**3 + x**3 - x**3)*(1 + 0 - 2) + 3 - 3 - 3*x**3 - 2*x**3 + x**2 - x**2.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 121?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2018697559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -y**3\/9 - 31*y**2\/3 - 961*y\/3 - 189. Find z, given that l(z) = 0.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002058754 rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -29538, -29479, -29418, -29355, -29290?\n\"Answer: s**2 + 56*s - 29595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 197351425 and 775.\nAnswer: 775","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2758777, -2758778, -2758779, -2758780, -2758781?\nAnswer: -2758782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*o + 21*o - 70*o + 39*o - o**2 - 48*o**3 to the form l*o**2 + t*o**3 + y*o + w and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 288 and 384.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 11*q**3 - 6. Let y(f) = 100*f**3 - 55. What is 55*w(p) - 6*y(p)?\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2014, -4032, -6038, -8026, -9990, -11924, -13822, -15678?\nAnswer: -17486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 2973097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**6\/120 - o**5\/40 + 3*o. Factor a(c).\nAnswer: -c**3*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1683.6303 to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 264 divided by -12.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6*-7*(-120)\/105?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t + 209. Let x be j(-38). Solve -3*s - 5*o + x = -3*o, o = -2*s + 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + 8 + -5 - 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5929523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 43 = 2*l - 0*l, l = 4. Suppose -4*q + p*q - 6 = 0. Let 24 + 0*a**2 + 72*a - 456 - 3*a**q = 0. Calculate a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.221 (b) -19 (c) 0.04 (d) -0.05 (e) 4 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 3*s**3 - 5)*(-28*s + 179*s + 77*s) in the form q*s**3 + v*s**4 + d*s**2 + o*s + i and give v.\nAnswer: 684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/(27\/(-7)))\/(1\/3). Let d(u) = -3*u + 15. Give d(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11996*b + 4517*b + 89748 = 0 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2862 in -0.2, 2\/15, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 827629 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 11*u - 5. Let w(y) = 8*y - 5. Give 5*w(v) - 4*x(v).\nAnswer: -4*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 308004.8 weeks to hours.\nAnswer: 51744806.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -5)\/((-90)\/(-12)). Let k = 3 + 2. Which is the nearest to -1\/2? (a) -1 (b) v (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times -670\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29958383 and 1729.\nAnswer: 1729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16644 and 16872?\nAnswer: 1231656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, i: 4, d: 2, o: 1, l: 1, z: 7}. What is prob of sequence io?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-216)\/(-104) + (-1)\/13\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 22 + 3*m - 20)*((8 + 8 - 23)*(3 + 0 - 1) + 1 + 0 + 1).\nAnswer: -12*m - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 3*y = 34, 3*y - 4 = -3*g - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -57?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -0.5, -4, -1, 24.\nAnswer: -4, -1, -0.5, -3\/7, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + 1*sqrt(500) + sqrt(500) + -5*3*(sqrt(5) + 0) + 5)**2.\nAnswer: 70*sqrt(5) + 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 14 = 16. Suppose -2 = p + h*q - 183, 3*p + q = 527. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 2:36 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471*j = 443*j - 27 + 111 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-3 + (sqrt(117) - (-1 + sqrt(117))))**2 + 3*sqrt(13)*2 + (-4 + sqrt(117))**2 + sqrt(13).\nAnswer: -17*sqrt(13) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -483*z - z**2 + 186*z + 855*z + 1113*z in the form t + c*z**2 + p*z and give p.\nAnswer: 1671","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1320528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 55951309 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1100000011001111?\nAnswer: -1100000011001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 409217999.\nAnswer: 17, 571, 42157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 0*n**2 - 5*n**2 - 65 - 9*n - 9*n - 4*n + 61. Let k(v) = -4*v**2 - 22*v - 3. Calculate -3*b(o) + 4*k(o).\nAnswer: -o**2 - 22*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 + 64. Is (4 - x) + (-5836)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/20 of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/124 and 85\/104?\nAnswer: 3224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -3. Let b = -6 + 3. What is the nearest to -1\/3 in b, h, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - 27 - (-204)\/10) + 20\/(-50)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 170547, 170459, 170311, 170103?\n\"Answer: -30*h**2 + 2*h + 170575","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 109*o**2 - 16*o**3 - 109*o**2 - 10*o wrt o?\nAnswer: -96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q - 136 = -412. Suppose h + 3 = y - 2, -4*y = -h - 29. Let l be (2 - 5)*y\/q. Solve 0 = t + t + l for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114*r + 46*r + r**3 - 14*r + 82*r + 2*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 624 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9839968, 9839932, 9839896?\n\"Answer: -36*c + 9840004","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 8*s**2 + 3*s + 8. Let v be g(4). Suppose 0 = 4*d + 10 + 10. Let i be (-59)\/d - (-2)\/10. Calculate the greatest common factor of v and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -125 + 128 - (0 - (-12448)\/(-10)). Let u = r - 1246. Determine k, given that -6\/5*k + u - 3\/5*k**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 495, 854, 1185, 1482, 1739, 1950?\n\"Answer: -g**3 - 8*g**2 + 390*g + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q - 16. Let b be y(-6). Factor -2*s**b + 1 - 3\/2*s**3 + 1\/2*s.\nAnswer: -(s + 1)**2*(3*s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 6*o**2 - 4*o - 3. Let r be a(5). Let m = -2 + r. Solve m*k**3 - k**2 - k**3 + 1 + 0 + k = 0 for k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360847 to the power of 1\/2, to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -19642.701626 to the nearest integer.\nAnswer: -19643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 6*o, -28 - 13 = -3*l + 5*o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -7*m - 0. Let c be 0 + 770\/((-25)\/m). What is the highest common divisor of c and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 - -19.96. Let u = g + -18.9. Let p = -1.6 + u. Which is the biggest value? (a) p (b) 1\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/9 + 0 - 14\/63?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 65760\/(-9) + 2\/(-6). Let z = -160849\/22 - y. What is the common denominator of 13\/18 and z?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/4*(-8)\/(-2). Let h be 732\/90 - (-2)\/(-15). Suppose 2*v - 94 = -5*o, -g*o + 5*v = h - 83. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**3 - y. Let g(s) = -21*s**3 - 7*s**2 - 8*s + 2. Give 6*a(t) - g(t).\nAnswer: 3*t**3 + 7*t**2 + 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 105682184*p**4 - 101149744*p wrt p.\nAnswer: 1268186208*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - 8) + 0 - -8. Suppose -9*y = -m*y - 20. Solve -y*f - 12 = -7*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4698 * -5\nAnswer: 23490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**3 + 5*g**2 - 8*g + 3. Let n(u) = u**3 + 2*u**2 - 3*u + 1. Let a(d) = 221*d + 1329. Let t be a(-6). Determine t*x(h) - 8*n(h).\nAnswer: -2*h**3 - h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 4*d - 8, -4*c - 10*d + 8 = -13*d. Find the third derivative of 152*p**6 - 13*p**2 + 286*p**6 - p**5 - 318*p**6 + c*p**5 wrt p.\nAnswer: 14400*p**3 + 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/36671, -7.3, 0.3?\nAnswer: 2\/36671","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-32 - -31)\/((3\/6)\/(-1)). Solve q + b - 2 = 0, -5*q + b - k = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*n + 12*n + 4*n)*(-4*n + 2*n - n) to k*n**2 + s + y*n and give k.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**5\/60 - 13*q**4\/24 + 8*q**3\/3 - 3*q**2. Let n be c(14). Let r = n + -30. Let f(w) = w**3 - w**2 + w + 1. Give f(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**5\/120 - c**3 - 4. Let r(l) be the third derivative of f(l). Let o(n) = -21*n**2 + 2. What is r(o(a))?\nAnswer: 21*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34 + -33.9. Which is the second biggest value? (a) 0 (b) 0.06 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -100*i**2 - 32. Let y(w) = 9*w**2 + 3. Let q(m) = 3*n(m) + 32*y(m). Let z(f) = 6*f**2. Determine z(q(r)).\nAnswer: 864*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of 0 + 0*l - 2\/945*l**7 + l**4 + 1\/27*l**6 - 4\/15*l**5 - 10*l**2 - 2*l**3. Solve i(u) = 0 for u.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/16 - 111\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -17*l - 4. Let g(x) = -25*x + 3. Let z(s) = -23*s + 1. Let q(i) = -3*g(i) + 4*z(i). What is 4*o(m) - 3*q(m)?\nAnswer: -17*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*t + 34, k + 3*t + 1 = -4. Suppose 28 = -k*y + 385. List the prime factors of y.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/7080185 and 29\/4248111?\nAnswer: 21240555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2. Let j(u) = -5 + 4 - 18*u**2 + u**2 - 3 - 7. Calculate j(p(d)).\nAnswer: -68*d**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than -0.02494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + a**2 - 3*a. Let p be k(-3). Let u(c) = -c + 12. Let d(t) = -t. Let w(f) = -2*d(f) + u(f). Let q be w(p). Solve 1 = -i + q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a century in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222851143.\nAnswer: 222851143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 106 = -5*f, -4*v + 2*f - 13 = -113. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5 - 6*p + 4*p**2 + 6 - 5*p**2 + 9. Let s be g(-7). Let y be 4\/(-12)*3*-1. Which is the closest to y? (a) -3\/5 (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 10\/(-8) + 1\/4 + 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 4*d**2 + 3*d - 3. Let v be x(3). What is the units digit of (6 + v)\/(3\/2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -690*a**3 + 6207*a**2 + 25*a - 1. Determine d(9).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8.274 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15595.705 rounded to the nearest integer?\nAnswer: 15596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 8*n + 2. Let y(j) = -4*j. Let c(d) = d. Let t(b) = -7*c(b) - 2*y(b). Let i(l) = 7*l. Let w(v) = i(v) - 6*t(v). Determine -p(r) + 10*w(r).\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 4*r = -10, 3*h + 148 - 147 = 5*r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2353.9340455 rounded to the nearest 10?\nAnswer: -2350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 381*g**4 - 11*g**3 - 59*g - 11. Let j(r) = 127*r**4 - 4*r**3 - 19*r - 4. Let v(l) = 4*a(l) - 11*j(l). Find the second derivative of v(s) wrt s.\nAnswer: 1524*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*f + 60 = 0, 3*f = -6*u + 2*u + 81. What is the common denominator of (133\/u)\/(-7) + 3 and -69\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6484, -4, -2\/11, -4\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 2*j = 38, -3*b - 5*j - 23 = -69. Let h(m) = -m**2 + 8*m - 6. Determine h(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 12.7, -2, -3, -4 in descending order.\nAnswer: 12.7, 1, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 5*w**2 - w**2)*(7 - 2 - 1 - 2 + 2 + 1 + 2 - 4 + 1 + (-4 + 1 + 2)*(2 + 0 - 1) - 1 + 5 - 3 + 4 - 1 - 1).\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2322389 rounded to the nearest one thousand?\nAnswer: -2322000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 12*c - c + 5*c. Let w(i) = 3*i. Give m(w(h)).\nAnswer: 48*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by 55323.\nAnswer: 4\/6147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55.42899 - 0.09899. Let b = z + -0.33. Let y = 54.9926 - b. Round y to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n**1*n)*(n\/(((n\/(n**(-19)*n))\/n)\/n))\/n)\/(n\/(n*n**8*n)*n*n**34*n) assuming n is positive.\nAnswer: n**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -506 (base 12) to base 11\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -280.335402 to two dps.\nAnswer: -280.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-13) - 817\/988*-12\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 59\/4 of a millimeter?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 8:59 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 52 = -15*p. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, e: 1, d: 2, m: 2, i: 1, v: 1}. What is prob of sequence rriv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 140723364*f + 140723366.\nAnswer: -2*(f - 1)*(f + 70361683)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11343963, 11343959, 11343953, 11343945?\nAnswer: 11343935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15 - -12)*1\/(-3). Sort d, -2, 4 in decreasing order.\nAnswer: 4, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m + 2. Let u(k) = -12*k - 7. Let f(p) = -7*h(p) - 2*u(p). Let r(b) be the first derivative of 20*b**3\/3 + 1378. Give f(r(s)).\nAnswer: -80*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 55*o**2 - 2*o - 103. Let w(h) = 2*h**2 + h. Suppose 6*g + 17 = 29. Let c(a) = g*w(a) + z(a). What is the first derivative of c(k) wrt k?\nAnswer: 118*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28743304 (base 9) to base 13.\nAnswer: -2c53588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -473\/6 + 79. Let n = 0.027336 - 0.127336. Sort x, n, 4.\nAnswer: n, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 3*p**7\/40 - p**6\/160 - 23*p**5\/80 + p**4\/32 + p**3\/4 - 6*p**2. Let y(q) = 0. What is q?\nAnswer: -1, -2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 8604*h + 2082164. Determine m(-242).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 2 - 1 + 29*v)*(0*v**2 - 8*v**2 + 5*v**2).\nAnswer: -87*v**3 + 24*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -756 - -761. Solve z - m*p = -4*z - 30, 2*p - 20 = 4*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.5 and 55.\nAnswer: 56.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 4, 8, -3 in decreasing order.\nAnswer: 9, 8, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1649 - -0.1949. What is the closest to 2 in -3, 0.09, m?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 41363902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -825 greater than or equal to -1204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -244 + 251 + (-18 - -104)\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(242) - (sqrt(242) + 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**4\/18 - 2*j**3\/27 + 20. Factor z(s).\nAnswer: 2*s**2*(s - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39723723 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 90*w + 0*w**2 - 576 + 48*w - 4*w**2 - 38*w.\nAnswer: -4*(w - 16)*(w - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32*k + 82*k - 11*k + 466 + 55*k + 33*k wrt k?\nAnswer: 191","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -4*s - x, -132*s - 5*x - 87 = -138*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -24, 10319 in descending order.\nAnswer: 10319, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 + (-304)\/(-19))\/(-2*1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 > 31119\/124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 + 16*z. Let a(u) = -207275*u. Give a(l(i)).\nAnswer: 414550*i**2 - 3316400*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-5)\/v)\/v)**(-36))**(-41) assuming v is positive.\nAnswer: v**(-10332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 105 and -88997.388.\nAnswer: -88892.388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 516.4956 millennia?\nAnswer: 6197947.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 432363 - 432363 + 808*j + (-2*j + 3*j + 0*j)*(2 + 1 + 0) + (1 - 2 + 0)*(j - 3*j + 4*j).\nAnswer: 809*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**5\/((s**7*s)\/s*s*s)*(s*s\/s**2)**(-30))**(-28))**(-6) assuming s is positive.\nAnswer: s**(-672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55096, 110257, 165418, 220579, 275740, 330901?\nAnswer: 386062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 37943125, 37943136, 37943147?\n\"Answer: 11*k + 37943114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -11002?\nAnswer: 10222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -57159 (c) 4\/3 (d) -0.1 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 477 a factor of 7827711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0, 0.36, -1?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/((12\/8)\/1). Suppose -2*i - x = -5*i - k, 18 = 5*i + 3*k. Solve 2*a = -5*l + i, -l + 3 = 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -77 - -b2b3?\nAnswer: b23b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17877 + 17880. Let l(p) be the first derivative of -4*p**i + 1\/2*p**4 + 9*p**2 - 8*p + 4. Find s such that l(s) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*s + 12. Solve s*o + 5 = -4*y, 16 = -4*y - 4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*c**3*q**3 + 7751895*c**3*q**2 + 39198*c**2*q**5 wrt q?\nAnswer: -162*c**3 + 2351880*c**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*j - 22176 = -107*j. What is the highest common factor of j and 1260?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/1064 and 181\/6540.\nAnswer: 1739640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {o: 1, d: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9952.013m in kilometers?\nAnswer: 9.952013","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v**(-1\/16)\/v*v)\/v))\/(v\/(v\/v**5)))**(-8) assuming v is positive.\nAnswer: v**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 680.609 - 681. Round a to two decimal places.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 76*y - 73*y, 5*y = 4*o + 7. Let q(w) = -2*w**2 + 7*w - 16. What is q(o)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.067 and 2514300439?\nAnswer: 2514300439.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -249.2 + 249. Let g = 240 - 240.5. What is the nearest to -2\/7 in 2, g, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v + 3*v + 2*v)*(0*v + v - 3*v)*((3 + 1 - 3)*(-3 + 3 - 2) - 30 - 12 - 57) in the form q + f*v**2 + j*v and give f.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4815977*c**3*t + 29*c**2*t + 2*c**2 + 16643*c - t wrt c.\nAnswer: -28895862*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 49*n - 611. Calculate h(56).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102854*g + 4 - 4 - 102854*g - 2*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-17)\/((-442)\/273)*(8\/(-9))\/4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1900))*-2 + 5)**2.\nAnswer: -40*sqrt(19) + 7601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 54\nAnswer: -10\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/2)\/((-3)\/4). Let h be 50\/l - (-2 - -1). Let t = -49\/2 - h. Sort t, 0.4, -2\/5.\nAnswer: t, -2\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/22 in 0.3, 5, 1\/358, 0.09?\nAnswer: 1\/358","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3 = 4*w, 3*u - 4 - 2 = -w. Factor 3*a**5 + 3*a**4 - 22*a**u - 12*a**2 + 3 - 3 + 10*a**3.\nAnswer: 3*a**2*(a - 2)*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73951433 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: Collect the terms in -238*q**3 - 58*q**3 - 265*q**3 + 0*q**3.\nAnswer: -561*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -1 + 1 - 14*c**2 - 2*c**2. Let l(k) be the first derivative of k**4\/12 + 6*k - 2. Let a(d) be the first derivative of l(d). Determine a(z(g)).\nAnswer: 256*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1))**(-20)*(x**(2\/5)\/x)**(2\/19) assuming x is positive.\nAnswer: x**(1894\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**4\/4 - 19291595*w**3\/4 + 77166435*w**2\/4 - 96458065*w\/4 + 19291615\/2 = 0. What is w?\nAnswer: -3858323, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 4:53 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38009241 * -5.\nAnswer: 190046205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3406 = -y, 5*y - 2312 = -2322. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346130 + 173023 + 173107 - 159*m**2.\nAnswer: -159*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5441\/392 - -184\/49. What is the common denominator of -67\/32 and w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, 16 in descending order.\nAnswer: 16, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -10*n**3 + 90*n**2 + 319*n + 4. Calculate d(-4).\nAnswer: 808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r + 72. Let o be j(-23). Suppose -16*l + 20059 = -o*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -116 + 116.029. Let l = 1.971 + w. Let m = l + -0.2. Sort 3, 0.5, m.\nAnswer: 0.5, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*q + 233*q - 1470 = 0 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -956852?\nAnswer: 95685.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f + 231. Let q be z(19). Solve -2*h = 5*b + 15, -119*b + q*b - 6 = -2*h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02 + -48.78. Let z = x + 49. What is the fourth biggest value in z, 0, -2\/11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 10*z**3 + 4*z**2 - 2*z - 2. What is the units digit of t(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15, -8, 9, 42, 97?\n\"Answer: x**3 - x**2 + 3*x - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -12*(-6)\/16*2. Let w = i + -6. Suppose -w*d + 0*o + 69 = 3*o, 3*d - 3*o = 93. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19147? (a) 0.3 (b) 1\/9 (c) -0.1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of -i**4\/36 + 98*i**3\/9 - 4802*i**2\/3 + 143*i. Factor n(x).\nAnswer: -(x - 98)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/3 - 2689*g\/3.\nAnswer: -g*(g + 2689)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -531 (base 11) to base 14\nAnswer: -339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5759650, 5759662, 5759674, 5759686?\n\"Answer: 12*i + 5759638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -174 * 6463.2\nAnswer: -1124596.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2022 (base 3) to base 5\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186504 divided by -9.\nAnswer: -62168\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*y - 1\/2*y**2 + 0 + 2*y**3.\nAnswer: y**2*(4*y - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2 + (-3 + 3 + 1)*(-3 + 0 + 2) + 8 - 39 + 15)*(2*v + 0 + 0).\nAnswer: -36*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 107 - 27 = 0. Let a = r - 16. Suppose -2*k - a*n + 2 = 0, 3*n = k + 2*k - 21. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 43685 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert dd8b65 (base 14) to base 8.\nAnswer: 34526265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 6*m - 2*m - 56, -4*m + 71 = 5*z. Let q(f) = 39*f - 3. Let d be q(2). Is 1967\/z + (-10)\/d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of -n**6\/6 + 9*n**5\/4 - 25*n**4\/4 - 125*n**3\/6 - n + 183. Determine z so that l(z) = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8996 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-1))\/(6\/18). Let t be ((-24)\/(-14))\/(v\/42). Suppose -4*q = -0*q - 4*c - 48, -2*q = c - t. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 times 0.042\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1e (base 15) in base 6?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/8 + 387945*q**2\/2 + 10862313*q\/2 + 38017924.\nAnswer: (q + 14)**2*(q + 1551752)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.086 * 134915.\nAnswer: -11602.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4644 divided by -2\nAnswer: -2322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 486.3 + -453. Let t = 34.3 - y. What is the biggest value in -3, 12, t?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 7*i**2 - 5*i. Let k = 57 - 99. Let v = -48 - k. Calculate f(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 662 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 258313205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4539*d + 4. Let y(s) = -22694*s + 22. What is -11*h(i) + 2*y(i)?\nAnswer: 4541*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**2 + 7. Let h be y(-3). Suppose 8*g - h = -10. Suppose 4*a = -0*a + 36. What is the highest common factor of g and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/5640 and -49\/120?\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 183*f + 135 - 81 - 54 + 168*f**3 wrt f?\nAnswer: 1008*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f + 2*f)*((1 - 1 - 3)*(0 + 4 + 1) - 2 + 1 + 2).\nAnswer: -28*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 72*z**2 + 2*z - 5. Let a(p) = 48*p**2 + p - 3. Let i(j) = -7*a(j) + 5*g(j). Let t be i(-3). Let d = 100 - t. What is d rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 252027\nAnswer: 504054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -103 - -106. Suppose k + 3*k = i + 460, -l*i = k - 115. Calculate the greatest common factor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/(-4))\/((-282)\/48 - -6). Suppose 64 = 2*n - k*s, -s + 73 + 27 = 3*n. Calculate the smallest common multiple of 3 and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 3*t + 4. Let r be (t\/4)\/((-1)\/4). What is the second smallest value in -5, r, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11060403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0437587 - 3.8776.\nAnswer: -3.9213587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/4 - (-6)\/(-8). Let a be (-3)\/((-3)\/(-5))*m. Suppose 0*q + n = q - 11, 3*q - 65 = -a*n. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 1. Let w be (-2)\/3 - 11\/n. Find the first derivative of -3 + w*z - 4*z + 2 wrt z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*q - 1, 2*q + 2*i - 2 = -0. Determine s, given that -3 + 5 + q*s - 3*s + 2*s**2 - s**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -5. Let u(y) be the second derivative of y**3\/3 + 86*y. Let s(f) = -f - 1. Give t*s(c) - u(c).\nAnswer: c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 114 or 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 r when three letters picked without replacement from rrrrrrrrrrnrnnrnnrr.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.4 - 1.4. Let c = -5 - h. Let b = 8 + c. What is the closest to 0.1 in b, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -234\/5 (c) -49 (d) 3 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by (0\/(-4))\/(-1) + 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 13) in base 3?\nAnswer: -2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21225 and 20625.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -62\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3514*j - 17614. What is q(5)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/12*(-72)\/(-32). Suppose 3*r - 12 = -3. Let -a**2 + t*a**2 + 1 - r*a**2 = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1807)\/139)\/((-13)\/(-2))*17.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -228, -340, -452, -564?\nAnswer: -676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 60\/80 + (-5)\/(-4). Solve z - 3*z = -n for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 104*s**2 + 9993*s + 569. Give x(-96).\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*g + 128 = -103*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124\/(-992)*(-66 + 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12901940.\nAnswer: 2, 5, 645097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398111 is divided by 99050.\nAnswer: 1911","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*4\/16?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2 = -2*j + 2*s, j - 6 = -3*s. Suppose -d + 2*q + j*q - 5 = 0, -2*d = -3*q + 6. Let v(o) = 3*o + o - d*o + o. Let c(n) = n. Determine v(c(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.31 less than -11?\nAnswer: -17.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11220*p + 22457*p - 11206*p = 992 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3)*u)\/(u**(-2\/13)\/u*u))\/(u*u*(u**(-1)\/u)\/u*u)**(-22\/7)*(((u**(-12)\/u)\/u)\/(u\/u**(1\/11)*u))**20 assuming u is positive.\nAnswer: u**(-45764\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j**(-3\/4)\/j)\/j))\/j**(1\/4))\/(j**(1\/3))**(1\/22)*((j\/j**2)**(2\/63))**38 assuming j is positive.\nAnswer: j**(886\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 5*j + 6. Let k be c(-3). Solve -3*p - 2*d + d + k = 0, 0 = 3*p - 3*d + 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + d**2 - d. Suppose 2*h + 4 = -0. Let f be (-2 + 4)\/(h\/(-1)). Let n(r) = 7*r**3 + 6*r**2 - 6*r. Give f*n(k) - 6*a(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 116273254?\nAnswer: -116273247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 + 5 - (6 - 1)) + 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -148*o**2 - 704*o - 1958. What is q(-3)?\nAnswer: -1178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -17834 (base 9) to base 7\nAnswer: -50662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 741 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 9:24 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (160\/100)\/(60\/3)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 146 + -205. Let z = o - -77. What is the greatest common factor of 72 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 2*u - 1. Let k(s) = -3*s**2 - 10*s - 5. Let r(c) = 5*b(c) - k(c). Let v(l) = -3*l**2 - 6*l**2 + 2*l**2. Calculate v(r(n)).\nAnswer: -28*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -65 + (-138 - (-67 - 23))\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 78, 709, 1886, 3603, 5854, 8633, 11934, 15751?\n\"Answer: -b**3 + 279*b**2 - 199*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 7. Let l be ((-2)\/w)\/(1\/(-4)). Suppose -2*g = l*f + 14199990, 0*f + f + 7099975 = -5*g. What is f rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 68 - 38 = 37*v. Let c(b) = -b**2 + b + 4. Let l be c(3). Let d = -3 - l. Sort 2, v, d in decreasing order.\nAnswer: 2, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 + 700253446190*q**2 + 6*q**3 - 700253446190*q**2.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2267 - 2267.001079. Round k to five decimal places.\nAnswer: -0.00108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(2448) + 0) - sqrt(2448)) + -5 + -5 + 5)**2.\nAnswer: 720*sqrt(17) + 88153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/1)\/((-10500)\/(-6300)*3\/(-435)*-1)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/156558 and -2\/17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 3 + 7, 0 = 5*z - 4*f + 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 4*t**2 + 4*t - 5 + 4\/3*t**3. Solve v(l) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-198)\/24)\/11 - 126\/(-8). Suppose q - 20 = -n. Is ((-218)\/10)\/(n\/(-25)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hb when two letters picked without replacement from {h: 9, b: 7}?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2816, 2\/7, 1\/13, -3, -0.5 in decreasing order.\nAnswer: 2\/7, 1\/13, -0.5, -3, -2816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 4 + -2 + -9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10708659 divided by -97\nAnswer: 10708659\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1068 - -1075. Let b = 25 - 16. Let p = b + -6. Calculate the lowest common multiple of p and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1131796.\nAnswer: 2, 97, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -194 + 344. Is h a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 27*t**3 + 241*t**2 - 262*t**2 + 123*t**2 to g*t + j + c*t**3 + l*t**2 and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6232, 12409, 18586, 24763, 30940?\n\"Answer: 6177*q + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 6:45 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 2*k)*(4 - 4 - 2*k) + (3*k - 7*k - 3*k)*(-5*k + 5*k - 2*k) - 17*k**2 - 11*k**2 - 3*k**2 as s + d*k**2 + w*k and give d.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 2. Find c such that -c - g*c + 1 + 3*c**2 - 1 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z + 16. Let u be k(-2). Sort 2, u, -5, -4 in decreasing order.\nAnswer: u, 2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 8 = 2*m. Suppose -m*q - 8 = -0*q. Let o be ((-4)\/6)\/(q\/(-3)). Put -3, o, 1 in decreasing order.\nAnswer: 1, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/330471?\nAnswer: -1\/330471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -81*z + 4. Let h(f) = 243*f - 13. Let r(i) = -11*d(i) - 4*h(i). What are the prime factors of r(-1)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -237, -239, -241, -243, -245?\n\"Answer: -2*b - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/((i**15\/i)\/i)*i*i**5 assuming i is positive.\nAnswer: i**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 224, 344, 466, 590, 716?\n\"Answer: k**2 + 117*k + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = r + 3*n, 220 = 3*r + 4*n + 244 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.2884178 months?\nAnswer: 0.00010736815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12022202 (base 3) in base 12?\nAnswer: -22b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 1. Let z = 5 + 0. Suppose -z*q = 8 + 12. Is 15 a factor of u(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 393 = 42. Suppose -4*t = -93 - f. Let p = 84 - t. What is the remainder when p is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-5))\/3 - 14\/(-10). Let w(k) = p + 5 + 27*k - 3 - 4. List the prime factors of w(3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 0*s + 1\/60*s**5 + 5\/6*s**3 + 1\/4*s**4 - 2*s**2 + 0. Let y(g) = g**2 + 3*g + 3. Give -3*w(p) + 5*y(p).\nAnswer: 2*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 652222, 652219, 652216, 652213, 652210, 652207?\nAnswer: 652204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 40.8 (b) -407 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -17487.\nAnswer: 2\/17487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -1\/7 (c) -1\/112\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17797 is divided by 1041.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d + 5. Let i(p) = 3*p - 5. Let u(w) be the third derivative of -w**4\/6 + w**3 + 4*w**2. Give d*i(t) - 4*u(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of 0*c**2 + 3\/4*c**4 + 3 - 3\/5*c**5 + 0*c**3 + 0*c. Determine f, given that h(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -655 = -5*u - 3*s - 997, 83 + 191 = -4*u - 2*s for u.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-6))\/((-515)\/2781).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 640 and 0.4.\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-7)\/(-49)*-7\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f. Let m(y) = -24069*y. Determine m(w(c)).\nAnswer: -48138*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30336.73 * -2.\nAnswer: -60673.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c - 22. Let l be z(22). Solve -p + l = 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78 times -2071\nAnswer: 161538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101101 + -1100001100011010011101?\nAnswer: -1100001100011101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.3, -2\/7, -3, 825, 2 in descending order.\nAnswer: 825, 2, 0.3, -2\/7, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/17 (b) 54 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7380)\/(-1025) - (-1 - -8). Which is the third smallest value? (a) d (b) 234 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/8)\/(z**12*z))**(32\/3)\/((z*(z*z*z**(-7))\/z*z)\/(z*z**0)*(z**(2\/3))**(-27)) assuming z is positive.\nAnswer: z**(-117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 11271 = 5*v, -2*v + 4*d + 6766 = v. Is 36 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -301 + 304. Let p = -2.6 - -3. Which is the second smallest value? (a) p (b) t (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3\/4, -13, 5, -1 in descending order.\nAnswer: 5, 4, 3\/4, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 + 89 = -6*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 2*u**3 - u**2)*(46 + 65 - 15).\nAnswer: -192*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s = 20*j - s - 21 - 24, -216*j + 3*s + 15 = -211*j + 2*s for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5275?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87 - 78. Suppose h - 6 = 0, -4*u + 5*h + 74 - 96 = 0. Solve -8 = -5*q - 4*y + p, 0 = u*y - 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -155\/4 - -39. Let m(y) be the first derivative of -1\/12*y**3 + v*y + 2 + 0*y**2. Suppose m(x) = 0. Calculate x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 17*j. Let l(q) = 4*q. Let a = 31 + -33. Let p(u) = u. Let m(t) = a*p(t) + l(t). Determine h(m(f)).\nAnswer: 34*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1932 + 748. What is u rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 116166*a*m**3 - 88*a*m**2 + 2*m**3 + 24090*m + 437 with respect to a.\nAnswer: 116166*m**3 - 88*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 g when two letters picked without replacement from gmgggggmggmggmsgm?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*t - 103*t + 9360 = 0. Is t a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - -3 - (47 - 42) - (21 + 0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**4 + y**3 + 1. Let h(s) = 965*s**5 + 3*s**4 - 3*s**3 - 6*s**2 + 16*s - 3. Let g(z) = h(z) + 3*n(z). What is the third derivative of g(p) wrt p?\nAnswer: 57900*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108544 and 424?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1439534 (base 10) to base 6.\nAnswer: 50504302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 2727102137\nAnswer: -2727102134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 38 + (6\/(-5))\/(2\/(-5)). Suppose k = 4*y + 5*h, 2*h + 2*h = 5*y. Which is the closest to 2? (a) y (b) 1\/4 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 5 + 4)*(5 - 4 - 2)*(4 - 2 + 0)*(-4 + 4 + 3*m**2) to z*m**2 + n + j*m and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 + 130*g - 813. Let v(f) = -2*f**2 - 110*f + 811. Determine 5*i(m) + 6*v(m).\nAnswer: -2*m**2 - 10*m + 801","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/11))**(-7))**(3\/26) assuming m is positive.\nAnswer: m**(-21\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 898*r - 916*r + 128 = 2 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67 and 9179?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -266.684 rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -1\/44 (b) 4 (c) 2\/5 (d) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2995\/4 or 44\/3?\nAnswer: -2995\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1786820, -1786822, -1786824?\n\"Answer: -2*q - 1786818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -8*y - 4. Let v be w(-2). Suppose 2 - 107 = -7*k. Calculate the highest common divisor of k and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xuuuuruirrurii. What is prob of picking 3 u?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*b - 8*b - 25*b - 3*b to the form r + c*b and give c.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(8) - (sqrt(8) + 1)**2).\nAnswer: -6 - 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3 + 1 = 4*q, -2*u + 19 = 5*q. Let y(j) be the second derivative of j**3\/3 + j**2\/2 + 3*j + 2. Let w be y(1). Solve -u*a - w*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 3 + (-2 - (10 + -30 - -6)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k = 30*k - 308 - 28 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 51*f**2 + 106. Let t(n) = -2*n**2. Calculate b(t(i)).\nAnswer: -204*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003000182505 to seven dps.\nAnswer: 0.0030002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -155\/13356 and 131\/46746.\nAnswer: 93492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 290, 586, 882, 1178?\n\"Answer: 296*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 + -43245?\nAnswer: -43243.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 - 3*v - 4. Let b be r(5). What is the third derivative of 3*o**4 + 11*o - 11*o + b*o**2 + 0*o**2 wrt o?\nAnswer: 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 4*k**2 - 4*k + 7. Let y be b(-5). Find the third derivative of -2*g**4 + g**4 - 10*g**y + 7*g**2 wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (1 - 1 - (-12 - -10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -19*1\/7*1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -26502 (b) -1\/11 (c) 48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*n + 4*n**3 + 0*n**2 - 7*n**3 - n**2 + 5*n**3 - n**4 - 1 in the form f*n + o*n**3 + s*n**4 + l*n**2 + y and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 513762621 to the power of 1\/2, to the nearest integer?\nAnswer: 22666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2991765 and 21630?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 4*r**2 - r - 5. Suppose -4*y + 3*u = 14, 2*y - 4 = u - 12. Let j be h(y). Let c = j + 35. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1666961, 1666954, 1666947, 1666940?\nAnswer: 1666933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/25)\/(i**(-12)*i))**21 assuming i is positive.\nAnswer: i**(5733\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 - 26*b + 5. Let i be r(-13). Suppose 0 = i*q - 4*s - 250, -q + 11 + 15 = 4*s. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, 1\/23.\nAnswer: -6, -3, 1\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 2 + (6 - 15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1104*z**3 + 347*z**3 - 456*z**3 - 65 - 85 + 150.\nAnswer: -1213*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1007 + -18.1193. Let o = w + 19. Let z = 0.85 - o. Is z at most -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 258 = 4*z + 29, -4*q = -20. Let f be 2\/(-14) - (216\/z)\/(-9). Which is the closest to f? (a) -0.5 (b) -7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 9*k + 5. Calculate o(-10).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*f - d = -38*f + 5, 5*d = -4*f - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/2)\/((-8)\/4). Suppose u = -0*r - r + 20. What is the highest common divisor of r and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 11:32 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaoa. What is prob of picking 4 a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.02 + -13. Let f = -5.58 - l. Let n = -5.6000023 - f. Round n to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 520, 0.2, -0.3 in ascending order.\nAnswer: -5, -4, -0.3, 0.2, 520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 88800 divided by -7400\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 20*o**3 - 12*o**2 - 12*o. Let p = -7346 - -7334. Let n(l) = 13*l**3 - 6*l**2 - 5*l**3 - 5*l + l**2. Give p*n(b) + 5*q(b).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-969)\/15*1 + (-16)\/40. Let k = -328 - w. Round k to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -51*y**4\/8 + 2*y**2 - 280*y. Let l(u) = -3*u. Calculate d(l(n)).\nAnswer: 459*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28064790?\nAnswer: 2, 3, 5, 13, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 2\/7, -2\/7, -0.0053, 0 in increasing order.\nAnswer: -2\/7, -0.0053, 0, 2\/7, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -7 - (84 + 0 + -11)) + (2 - 0).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15422 is divided by 76?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -303 - 7524?\nAnswer: -10027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7 and -0.28?\nAnswer: 6.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 + 71. Suppose 4*w + 12 = 0, 2*w = 4*h + 5*w - t. Calculate the remainder when 33 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.14 + -1.339. Let a = v + 1.039. What is a rounded to two dps?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -82*c**2 - 1122*c + 1204.\nAnswer: -2*(c - 1)*(41*c + 602)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 21. Calculate the remainder when 580\/100*10 + -6 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -15*x**3 + x**2. Let j be l(-1). Solve j = -0*c + 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 7*h**5\/5 - 6*h + 6. Differentiate g(r) wrt r.\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/((q**(-7\/6)*q)\/q))\/q*q*q\/q**(4\/11) assuming q is positive.\nAnswer: q**(251\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/33 and -53\/603.\nAnswer: 6633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 1009515?\nAnswer: 2019030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86002 is divided by 39?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 1. Let v(t) = t**2 + 3*t + 12. Give 6*d(y) - v(y).\nAnswer: -y**2 + 3*y - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 181 + -172. Suppose -2*n + 9 = -4*x + 45, x = -3*n + g. Solve m + 3 = k - 0, 5*m + k - x = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2326763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*i + 17 = 0, -3*l + i - 2*i = 0. Let p = 1 - l. Let m(y) = 6*y**2 - 4*y**2 + 0*y**3 + 6*y**3 + 1 - p*y + 0*y**3. Calculate m(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-33 - 14 - -10) - (-3 - -1).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 15*j**2 + 4 - 4. Let h(f) = -f**2 - 9*f + 7. Let b be h(-7). Let i(t) be the first derivative of -t**3 - 880. Determine b*i(p) + 4*g(p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (27 - 17 - -15)) + -4 + 1 + 11.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -358 - -20563?\nAnswer: 20205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/6)\/((-2)\/12). Suppose r*a - 217 = 4*i - 9*i, -i = -2. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 14*g**2 + 196*g + 24. Let z be o(-17). Calculate the greatest common divisor of 72 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 5614?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336811080?\nAnswer: 2, 3, 5, 23, 122033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 13*h - 156. Let j be m(12). Suppose 2*c = -2*d + 2, -4*c = -2*d + 2 + 6. Factor j*t + 2\/9*t**d - 2\/9.\nAnswer: 2*(t - 1)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 12. Suppose -2*p - 22 = -x*c + 2*p, 5*c - 5*p = 45. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**2 + 4*o**3 - 4*o**2)*(6*o + 12*o + 70*o - 2*o - 3 + 3 + (-o + 4 - 4)*(7 - 2 - 3) - 2*o + 0*o + 0*o).\nAnswer: 328*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -3.283.\nAnswer: -1.6415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 3*i**7\/14 - 19*i**4\/12 - 19*i - 17. Let p(j) be the first derivative of d(j). Find the third derivative of p(t) wrt t.\nAnswer: 540*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 83, 82, 91, 116, 163, 238, 347, 496?\n\"Answer: d**3 - d**2 - 5*d + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, s: 3, b: 3}. What is prob of picking 3 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3 = x, -2 = -x + 6*x - 3*h. What is the closest to x in 5\/9, 2\/11, 2, 0.2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -f + 2*q - 6, 5*f + 4*q = 0. Suppose 2*j - 4*o - 296 = 0, f*j - 5*o - 443 = 161. What are the prime factors of j?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10536, -17695, -24852, -32007?\nAnswer: -39160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -9. Suppose -6*k = -k + 5*w - 35, -4*w - a = 0. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-7) - 212\/(-7). Suppose 3*o = -2*z + 34, -48 = -o - 3*o - 4*z. What is the highest common divisor of o and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.02 + -0.42. Let u = -2918.3 - -2914.3. What is the third biggest value in 5, -2, u, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000396201375 rounded to 6 dps?\nAnswer: -0.000396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 101000110100001110 (base 2) in base 11?\nAnswer: 104674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 1023975?\nAnswer: 1023975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1 (b) 2 (c) -2 (d) 2\/21 (e) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 552 and 804984.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 5:35 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 368 divided by -2.\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1425, -1462, -1495, -1524, -1549?\n\"Answer: 2*w**2 - 43*w - 1384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*m - 2*q = 12, -3*m + 2*q + 17 = 0. Suppose 0 = -4*w, -3*w + m*w - 790 = -5*t. List the prime factors of t.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -151.1 + 151. Let i = -97.019 - -97. Which is the nearest to n? (a) 0 (b) -0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26181, 25011, 23061, 20331, 16821?\n\"Answer: -390*f**2 + 26571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/5 - 48*b**2\/5 - 46*b\/5.\nAnswer: -2*b*(b + 1)*(b + 23)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -53, -112, -179, -254, -337?\n\"Answer: -4*j**2 - 47*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 11, 5, -2, 3 in descending order.\nAnswer: 11, 5, 3, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10539077 and 5803?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3628434 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: What is 84962314 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 12:01 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i**3 - 2*i - 1. Let b(z) = z**2 - 35*z + 8. Let f be b(35). Suppose -f*k + 17*k - 18 = 0. Give o(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 2)*(-3*t**4 + 4*t**4 + 0*t**4) + (-4*t**2 + 5*t**2 + t**2)*(3*t**2 + 2*t**2 - 3*t**2) - 8*t**4 + 10*t**4 + 15*t**4.\nAnswer: 18*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 751, 774, 813, 868, 939?\n\"Answer: 8*y**2 - y + 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 c, and 1 z when four letters picked without replacement from bcssszzzsbbcszbc.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 893 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -713257 + 1?\nAnswer: -713256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 972324 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*j**4 - 28552*j**3 - 6344*j**2.\nAnswer: -2*j**2*(j + 1586)*(9*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 5*w - 2*w - 1369647 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 0 + 3*a + 1 + 1 - a**2. Let q(r) = -70 + 70 - r. Let j(v) = 12*q(v) + 3*y(v). Solve j(c) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -512.6 + 490.23. Let j = 4.37 + m. Is -1\/3 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 8*j - 11. Give s(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 6*n**2 - 24*n + 105. Give m(7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/13 in 1\/2, -1\/8, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*t + 19, -d + 5*t = 3*d - 32. Suppose -2*m = d*m - 20. Sort 1, m, -2 in descending order.\nAnswer: m, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 1. Let z(t) = 7*t + 7. Let m = 1398 + -1393. Give m*c(a) - z(a).\nAnswer: -7*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 201403502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 89*h**2 + 987*h + 15. Calculate f(-76).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20402 divided by 2725.\nAnswer: 20402\/2725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -7*u + 4. Let k(i) = 3*i - 2. Suppose -7*a - 412 = -454. Give a*z(r) + 15*k(r).\nAnswer: 3*r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + 3)**2 + -4)*-3 + (sqrt(637) - (1 + sqrt(637) + -1) - (-2*(sqrt(637) + -1*sqrt(637)))**2).\nAnswer: -1926 - 126*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -7*w + 2*l, -l = -2*w + 6. Let m be (-2)\/(-3) + (-21)\/(-9). Put 0, w, m in decreasing order.\nAnswer: w, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*p - 1273*p = 6229 + 10866 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 7:43 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13752 and 1278?\nAnswer: 976392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4049, -2677, -1305, 67, 1439, 2811?\nAnswer: 4183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 15*l**2 - 112*l + 3. Give s(21).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -303 divided by -466?\nAnswer: 303\/466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32.6 + 27.6. Which is the second biggest value? (a) -2\/5 (b) y (c) -1\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -204.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23137 - 3992. Suppose 0 = 9*z + b - 69752. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40205, -40203, -40201?\nAnswer: -40199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13335 is divided by 13319.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -139 - -137. Which is the nearest to r? (a) -37 (b) 1.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbrbbbbrbbbbbbbbb. What is prob of picking 2 r?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 13*v**2 + 19. Is u(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 5*n - 17 = -p, -n = 2*p - 33. Suppose -j = 2*y - 0*y - p, -5*j = -2*y - 10. Let x(q) = -1 - j*q + 9*q**2 + 4*q - 2*q. Give x(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 4105100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 371.27773 rounded to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -407\/274 - 2\/137. Suppose 5*n - 6 = 9. Suppose 0 = -0*m + m + n. What is the second smallest value in m, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/110*(4 - -7) - (-36156)\/(-5895)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (148*3)\/((-53244)\/4437).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(190)*-5 - 4*((-2*sqrt(190) - sqrt(190)) + sqrt(190)))\/(sqrt(100)\/(sqrt(250) + 1*sqrt(250) + sqrt(10))).\nAnswer: 198*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-20)*-25 + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 20*x**2 + 47*x + 74. Let n be k(-22). Solve -5*t + 15 = -n*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 12\/844771?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-57)\/76)\/(105\/(-80)). Let p(y) = y - 4. Let j be p(3). Which is the third smallest value? (a) -4\/3 (b) j (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(2 + -1)\/9*(-23 - 1940\/(-88))?\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 9, -3*z + h + 8 = 41. Let g be (288\/(-20))\/4*z\/6. Solve g = -3*r + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 8:24 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/42*(334\/5177 - (-663)\/(-186)). Factor 7\/3*h**2 - d*h**3 + 1\/3*h - 7\/3.\nAnswer: -(h - 7)*(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 0.194, -17 in ascending order.\nAnswer: -17, 0.194, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2183 is divided by 2106.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 135.9002 tonnes?\nAnswer: 135900200000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 580 divided by -125.\nAnswer: -116\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002459 to four decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -1152?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 9) to base 13\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*i - 272597, 0 = -5*s + 1071*i - 1067*i + 340695. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1055, -2117, -3187, -4265, -5351?\n\"Answer: -4*t**2 - 1050*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -9*m - 9. Let a(s) = 2*s + 1. Let g(n) = -10*a(n) - 2*j(n). Let p(l) = -2*l + 9. Give -5*g(o) + 4*p(o).\nAnswer: 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/506 + -126\/253. What is the third biggest value in 3, p, -2\/11, -2, -16?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 4:18 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, 6, 21 in descending order.\nAnswer: 78, 21, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136892 is divided by 102?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*w**2 - 15*w**2 - 4*w - 7*w + 2*w + 7*w.\nAnswer: 53*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 10*b = -17, 30*x - 29*x - b = 1. Which is bigger: 2.761 or x?\nAnswer: 2.761","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -461.03 plus -0.038?\nAnswer: -461.068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.9023 + -0.96. Let a = -325.0577 - c. Let p = -324.9863 - a. What is p rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 0.03, -9, 547 in increasing order.\nAnswer: -9, -2, 0.03, 6, 547","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -10. Let u(l) = -l**3 + 7*l**2 - 6*l + 4. Let t be u(6). What is the nearest to f in 5, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v + 2 = 10*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j + 19. Let g(c) = 8*c - 61. Let u(h) = -2*g(h) - 9*r(h). Let m(o) = -3*o. Determine m(u(q)).\nAnswer: -6*q + 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -0*o + o - 58, -60 = -4*q - 2*o. Let n(p) = -9*p + 3. Let u be n(-3). Let t = u - 14. Calculate the lowest common multiple of t and q.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000008242475 to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*((4 + 1*sqrt(63))**2*6 + 1*sqrt(3087) + 0) + -2.\nAnswer: -1422 - 495*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 39 = 5*u - 16, 2*u = 5*g - 5. Suppose -2*v + 6 = 4. Suppose 2*r + t + 1 + 3 = 0, -2*t = 5*r + 11. Sort u, v, r, -11.\nAnswer: -11, u, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**5\/5 + 84*z**4\/5 - 34*z**3\/5 - 300*z**2 - 3064*z\/5 - 336 = 0. Calculate z.\nAnswer: -42, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 36 = 5*u, -99*u + 47 = 2*f - 104*u. Solve 588 = f*l + 676 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(1\/16)*v)**26)**(-1\/18) assuming v is positive.\nAnswer: v**(-143\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyy when four letters picked without replacement from eqyelyyeeeeleyyeqeee?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 2938887?\nAnswer: -2938883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.907 - 1.914. Let p = -9 + 8.993. Let i = m - p. What is the nearest to i in 8, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26944 - -649?\nAnswer: -262a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4383945?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -1\/2*y**4 + 74 + 0*y - 1\/2*y**2 - y**3. Factor w(l).\nAnswer: -l*(l + 1)*(2*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8b92283 + 3?\nAnswer: 8b92286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -11, -2.3, 7, 2\/13?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -14*n**2 - n - 2. Let v(s) = -55*s**2 - 4*s - 8. Let q(g) = 4*h(g) - v(g). Let x(f) = 3602*f**2. Calculate x(q(m)).\nAnswer: 3602*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 7*u**2 - 8*u + 7. Let y be j(-8). Suppose -4*a = -16, 2*v = y*v - a - 146. What is the common denominator of -79\/12 and (-185)\/v - (2 - 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/10*(-95)\/(-38). Suppose 0*k + 3*k - 2*g - 461 = 0, 0 = k + l*g - 151. What are the prime factors of k?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3954.\nAnswer: 2, 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9151068 to 3 decimal places.\nAnswer: 0.915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 109661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*r = 171. Let f(u) = -19*u. Suppose 3*d = -3*w - 15, 5 + 4 = -3*w. Let v be f(d). What is the greatest common factor of r and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476603 at least as big as 476603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 864274673 - 183037.\nAnswer: 864091636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*f + 3*q, 8 = -f + 2*f - 2*q. What is the smallest common multiple of f and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 + 10 + -30 + 70\/(-12)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l - 1. Let j(n) = 11*n + 17. Let c(x) = j(x) + 5*t(x). Is 5 a factor of c(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*x + 48 + 18. Let p be 7\/(x + (-4 - 1 - -3)). Suppose n - 3*f = 12, 5*n + 2*f + 36 = 7*n. What is the greatest common factor of p and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/14)\/((-8982)\/3493) - (-642)\/(-8)\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 183 + -161. Let i = -215 - -303. Calculate the greatest common divisor of t and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1901 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -0.239, -3\/2, -0.2, 1, -0.5, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3.99 * -0.395\nAnswer: 1.57605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11745972*f**4 - 164*f**2 - 1933*f + 2.\nAnswer: 281903328*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*4*-5 + sqrt(209) - (sqrt(209) + 1*5*sqrt(209) + sqrt(209)))\/(sqrt(99)*-1 - (sqrt(330)\/sqrt(10))\/sqrt(3)))**2.\nAnswer: 3211\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**3*s**5 - f**3*s**2 + 538*f**2*s**6 + 357*f**2*s**2 - 8*f*s wrt s?\nAnswer: 60*f**3*s**2 + 64560*f**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 288872806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n**2 + 11*n + 17. What is s(8)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 18 = -102*u - 676 - 812 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 8, -0.47, -18\/11?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1337859850 and -75.821.\nAnswer: 1337859774.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1519, -3040, -4561, -6082, -7603?\n\"Answer: -1521*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1 - 2 = 0. Let l(c) = c**3 + 6*c**2 + 5*c - 3. Let j be l(-4). Suppose h*i + 3*z - j = 0, 2*z + z = -4*i + 9. Solve 3*b + i*b + 9 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*j = -5*w - 51*j + 34*j - 80, -4*w = j + 14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/25 + 530912*x\/25 - 530922\/5.\nAnswer: 2*(x - 5)*(x + 265461)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 4263*k + 1858643. Give u(-436).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -59*i - 14*i - 73 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3138 and 28278610.\nAnswer: 84835830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 2*g - 10, 0*c - 2*g = 2*c + 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -1, -0.03, -1\/4, 496, 0.05?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-250)\/(-40)*(-16)\/(-10). Solve 0 = 4*g - 2*k - 3 - 3, -5*g = -3*k - c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*h**3 - 27054*h**2\/7 + 7200*h - 312\/7 = 0 for h.\nAnswer: 1\/161, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 2\/139?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 12*q**2 - q + 4. Let z(d) = d**2. Let u(p) = w(p) - 5*z(p). Let g be u(7). What is the units digit of 2\/g - 298\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 14*h. Let l(y) = 105*y - 3. Let c(m) = 748*m - 22. Let r(k) = 3*c(k) - 22*l(k). Calculate j(r(v)).\nAnswer: -924*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 9:13 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 49*w**2 + 104*w + 93. Is h(49) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**5\/7 + 20*t**4\/7 + 2022*t**3\/7 + 568*t**2 + 1976*t\/7 = 0. What is t?\nAnswer: -26, -1, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hnunmmnzzmauzmn. Give prob of picking 1 z, 2 n, and 1 h.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -45*q - 274. Let d be b(-6). Put 36, d, -2 in ascending order.\nAnswer: d, -2, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tnnaaaanan. What is prob of sequence nat?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27586300.\nAnswer: 2, 5, 7, 39409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 523 divide 20033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 20*o - 14. Let l be f(-19). Let m be -1 - (-10)\/6*1. Which is the second biggest value? (a) l (b) m (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Suppose b*d + 325 = 5*d. What is the remainder when d is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32803.741 - 0.1\nAnswer: -32803.841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3720 and 4836?\nAnswer: 48360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1043, -1000, -945, -872, -775, -648?\n\"Answer: p**3 + 36*p - 1080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -3, -25\/6, -29, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 627, 628, 629, 630, 631?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from wrswwgwwoossoiwrwwis.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(-90) + 8\/20.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 876 = h, -o + 3*h = -4*o + 540. What is the remainder when o is divided by 45?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 23 = 57. Suppose -j - v + 4 = 0, -4*v - 1 = 3. Suppose c = -3*z + l, z + z = -j*c + 15. Solve 15 = 5*n + z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (232760\/5520)\/((-69)\/(-2))?\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 1\/4 (c) -640\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -509 - 271*i - 540 + 1565 - 515.\nAnswer: -271*i + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 + 8*y - 128. Let h be z(8). Solve -4*q + h*s - 14 = 2*s, 6 = -q + 2*s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**2*i)\/(i*((i\/(i*i*i\/(i**(3\/10)\/i)*i))\/i)\/i*i))\/((i*i\/i**(2\/9)*i)\/(i\/(i**(-3\/4)\/i))))**(-13\/5) assuming i is positive.\nAnswer: i**(-15613\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ununxxssn. What is prob of sequence xxsn?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-53 + 131 + 1921*s - 79)*(4*s**2 - 4*s**2 - s**3) to the form p*s**2 + w*s**3 + k*s**4 + l + g*s and give k.\nAnswer: -1921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.571365mm in nanometers?\nAnswer: 1571365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31011103 (base 4) in base 6?\nAnswer: 1052031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224088?\nAnswer: 2, 3, 9337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -4.51 in descending order.\nAnswer: 5, -4, -4.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67363?\nAnswer: 31, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -3, 1, -503, -5, 3 in ascending order.\nAnswer: -503, -22, -5, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 178649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 71088139 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -7) + 3 + 0 + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43164292?\nAnswer: 2, 17, 283, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34.1 - -6.1. Let j = f + 31. Which is the nearest to 2\/7? (a) -2 (b) j (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - m = -7*s - 3, m - 5 = 0. Let n = 0 - -2. Sort s, -5, n.\nAnswer: -5, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2733536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 38500703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1133 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 99667.09g?\nAnswer: 0.09966709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c56 + -2?\nAnswer: -c58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3 + z - 2*z + 4. Let h be q(-1). Let t(i) = 4*i - 1 + 1 - 2 + 0*i. Calculate t(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -1. Let l(n) be the third derivative of 0 + n**2 - 1\/180*n**6 + 1\/315*n**7 - 1\/90*n**i + 1\/36*n**4 + 0*n + 0*n**3. Factor l(s).\nAnswer: 2*s*(s - 1)**2*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - p + 1. Let j be s(0). Let a = j + 3. Calculate the remainder when (a\/10)\/((-4)\/(-160)) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.00483kg to nanograms.\nAnswer: 13004830000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5600 + 133 = 13*j. Suppose 7*u = -70 + j. What is the remainder when 208 is divided by u?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*4*70\/140?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 391, -22, 0.1, 10, -4, 0 in descending order.\nAnswer: 391, 10, 0.1, 0, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d - 12. Let v(w) = w - 1. Let g(p) = -5*a(p) + 30*v(p). Let i be g(6). What is the highest common divisor of 20 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 2. Let a be (1 - 1)*2\/2. Let d = a + r. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*m - 195, 116*m - 121*m + 519 = 2*g. Calculate the remainder when m is divided by 72.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccnncn. Give prob of picking 2 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.39802 millennia in centuries?\nAnswer: 13.9802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5316444 by -18207.\nAnswer: -292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 35. Let o(r) = -13*r**2 + 3*r - 6. Let x(y) = 52*y**2 - 13*y + 26. Let w(d) = -13*o(d) - 3*x(d). Determine w(j(l)).\nAnswer: 13*l**2 - 910*l + 15925","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4046 and 221.\nAnswer: 52598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 9 - 24 = -3*l, -5*o - 5*l = -70. What is the smallest common multiple of o and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -15. What is the remainder when 394\/26 - (-8)\/(-52) is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 51.88028us?\nAnswer: 0.05188028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*j + 0 + 0)*(-32847 + 3*j**2 + 32847 - 6*j**2 - 236*j) to the form d + u*j + z*j**3 + o*j**2 and give o.\nAnswer: -1180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10469678377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60041 + -60015.99956. Let i = q - 25. What is i rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0 (c) -42 (d) -5 (e) 1.89\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 + 166\/3. Which is smaller: 9 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-24)\/(-46)*(-21)\/(-27). Let m = -2363\/552 + g. Calculate the common denominator of m and 1\/4 + 386\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -523491 - -88.023.\nAnswer: -523402.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 12*m + 354. Determine l(-29).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/3*l + 2\/3*l**2 - 16\/3 = 0. Calculate l.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1103*o**2*v**3 - 170424*o**2*v**2 - v**6 + 266*v**3 wrt v.\nAnswer: -6618*o**2 - 120*v**3 + 1596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y - 2*y + y)*(-2 + 2 + 3)*(3 - 6 - 13) in the form k + t*y and give t.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/13)*h*(h*(h\/((h*h\/((h**0*h)\/h*h*h)*h)\/h))\/h*h*h)\/h*(h\/(h\/((h\/(h**(-2\/5)\/h))\/h)))\/(h**(5\/4)\/h) assuming h is positive.\nAnswer: h**(1119\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, d: 15}. What is prob of sequence dd?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 2*n**2 + 2. Suppose 3*k - 2 + 8 = 0. Let m(o) = 9 - o**2 + 3*o**2 - 11*o**2 - o**3 + 4*o**3. Give k*m(y) + 9*i(y).\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 145*r**2. Let a(u) = -3409*u**2. What is a(t(x))?\nAnswer: -71674225*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-834)\/(-12)*(1 + 1). Suppose -6*b + z = 7. Suppose 5*k - 3*v - b = 0, -26 = -5*k + 2*v + 2*v. Solve -2*g - k*o = -o - 3, 4*g - o - 21 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5 + 3 + 3*j + 2 + 1. Let y = -407 - -402. Give c(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 5:27 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -53 - -412?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000037105 rounded to six decimal places?\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/4*-104*65\/(-993720)?\nAnswer: -5\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 56698.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1092217 - 76?\nAnswer: 1092161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -58*c + 102. Does 60 divide p(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 - 9*k - 2*k - 79.\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -43 - -9?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1087\/136 - 63\/8. What is the second biggest value in v, -0.5, 1\/3, 0.02?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 146872725*v - 122295756?\nAnswer: 146872725","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + d - 1 = 0, -2*j + d + 5 = -0*d. Which is smaller: j or 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54855 and 12985?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -6*g**2 + g - 20. Let b(o) be the third derivative of o**5\/30 + 7*o**3\/6 + 20*o**2. Let i(a) = 11*b(a) + 4*m(a). What is i(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.766779 * -0.1.\nAnswer: 0.7766779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 6*b - 46 = 0. What is the highest common divisor of 23 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, u: 4, w: 5, z: 2, i: 4}. Give prob of picking 2 u and 1 z.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -1\/8, -1, -5, -2\/11, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -73.2.\nAnswer: -73.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3383.5 + -3381.5. Which is the fourth smallest value? (a) -2 (b) -3 (c) 1\/2 (d) m (e) -2\/621\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-633)\/90*1 + (-3 - -4) and -121\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1e2 (base 15) to base 5\nAnswer: 3222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 - 3.06. What is the smallest value in 1\/4, 0.4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**4 - 12*k**3 - 36*k**2 + 92*k - 48.\nAnswer: 4*(k - 4)*(k - 1)**2*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 11:01 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 6:34 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11735 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**(1\/5)))**(-1\/8))**41 assuming u is positive.\nAnswer: u**(41\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 5. Let p be o(3). Let y be 5\/p - (-4)\/(-8). What is the greatest common factor of 4 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(3\/2)*r*r\/(r*(r*r**6)\/r)*r)\/((r\/(r*(r**2\/r*r)\/r*r))\/(r*r**10)))**(-39) assuming r is positive.\nAnswer: r**(-819\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 365, 2187, 7129, 16751, 32613, 56275, 89297?\nAnswer: 133239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 5*m + m, 5 = 2*k - 3*m. Let y(o) be the first derivative of o - 1312. Let p(i) = -i**2 - i - 1. What is k*p(q) + y(q)?\nAnswer: -q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r = 8. Let i(d) = 3*d**2 - 5*d - 3. List the prime factors of i(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-6 - -3) + 3 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-9) + 4\/(-18). Suppose -p - 1 = -2*b + 10, 8 = 5*b + 4*p. Let s = 55 - 55.1. What is the closest to s in b, a, 2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4)**(-5\/3)\/((o*o\/((o\/(o*o**5*o))\/o*o))\/o**(-7)) assuming o is positive.\nAnswer: o**(-65\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 4 = 2*c + 2, 4*c = -5*p - 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21672 and 13230?\nAnswer: 2275560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1516, -1523, -1534, -1549, -1568, -1591?\n\"Answer: -2*y**2 - y - 1513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtrvtrrrrr. Give prob of sequence rtt.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 7 = 700. Which is bigger: -64 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 313066 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 620, 1237, 1858, 2483, 3112, 3745, 4382?\nAnswer: 5023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -7*q. Calculate m(4).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 29, 56, 83?\n\"Answer: 27*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2454825 and 0.373.\nAnswer: -2454824.627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -128*n**2. Let h(a) = 3*a. Determine h(x(p)).\nAnswer: -384*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -4. Suppose -3*h = 2*j - 94, 3 = -f*j + 3*j. Suppose 5*d + 5 = 5*r + 30, -5*d - 2*r = -h. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38533\/5 - 7707. Let s = -172 + 118. Let r be ((-4)\/(-6))\/((-16)\/s). Sort 1\/2, r, t in ascending order.\nAnswer: t, 1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (-3 + 232\/60). Let t(h) be the second derivative of 4*h + 0 + 1\/5*h**2 - q*h**3 + 1\/30*h**4. Determine n, given that t(n) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 203930 - 144319. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 6:03 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 + 18. Let q(i) = 6*i**2 + 26. Let a(r) = 3*r**2 + 12. Let m(n) = 13*a(n) - 6*q(n). Calculate h(m(j)).\nAnswer: -18*j**4 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -78*o**3*q*z - 5*o**3*q + 193*o**3*z + 6*o**3 + 16*o**2*q + 3*o**2*z - 4*o*q + 1 wrt z.\nAnswer: -78*o**3*q + 193*o**3 + 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1693.0016 - 1682. Let f = -1509 - -1498. Let h = n + f. What is h rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (9 + -5 - (-5 - -7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4810?\nAnswer: 2, 5, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16401186*p**4 + 6814177*p.\nAnswer: -196814232*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*l + 9 - 51 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22068, 22090, 22114, 22140?\n\"Answer: j**2 + 19*j + 22048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11525?\nAnswer: 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 1\/9, 4\/3, -115\/11, 5.\nAnswer: -115\/11, 1\/9, 1\/4, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by -361\nAnswer: -31\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b - 10. Let i be q(-10). Is i less than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 3, -111, 0.5.\nAnswer: -111, 1\/4, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -35. Let i = 0.077 + -1.927. Let y = 0.15 - i. Sort 6, l, y.\nAnswer: l, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -45 + -10236.\nAnswer: -10281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4685228 (base 12) to base 16.\nAnswer: -cfb300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 68 and 2129879?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 + 2*i - 23*i**3 + 1 + 2*i**2 + 24*i**3. Determine a(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -261509*a*l**2 + 912*a - 172*l**2 - 67410*l wrt l.\nAnswer: -523018*a - 344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = 6*i. Solve i = -a - 5*a + 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of 1\/105*x**7 + 1\/5*x**6 - 22\/15*x**5 + 0 + 1600\/3*x**3 - 40*x**4 + 0*x - 59*x**2. Factor w(f).\nAnswer: 2*(f - 4)**2*(f + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1951.086ml to litres.\nAnswer: 1.951086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.047407 and -1.878?\nAnswer: -0.089030346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than -12832596.5?\nAnswer: -12832596.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 3542 = 17*v. Let z = v - -154. Solve -4*c - 19 + 31 = z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 - -51029?\nAnswer: 51029.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 172 = -2*f - 175, -2*t = -f - 14 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.054*1656607.\nAnswer: -89456.778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**3\/2 + 5536*j**2 + 5840771*j\/2 + 20171606 = 0.\nAnswer: -10517, -548, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*h + 74 + 6 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6.74778 times -1\nAnswer: 6.74778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -2. Suppose 2*q = -0*q. Let k = 10\/27 + 61\/54. Which is the closest to q? (a) h (b) 2\/3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*a**2*l - 9334*a**2 - 1959*a*l**2 + 7*l wrt l?\nAnswer: 2*a**2 - 3918*a*l + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5 - 8*c**2 + 12*c**2 - 5*c**2. Let w(j) = -j + 3. Let z(n) = -n**2 - n + 3. Let o(f) = w(f) - z(f). Determine v(o(g)).\nAnswer: -g**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve 242*f - 237*f = 2*z - 7, 0 = -5*f + z - 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 356516 and 38?\nAnswer: 356516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**3 - 75*r**2 - 39*r + 41. Let u be o(38). Factor 6*t**2 - t**4 + 70*t**u + 60 + 6*t**4 - 70*t - 56*t**2 - 30*t**2 + 15.\nAnswer: 5*(t - 1)**2*(t + 1)*(t + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.62 + -187.38. Let n = -189 - w. Which is the nearest to -0.1? (a) 0.02 (b) n (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**4\/8 + 5*w**2 + 24*w. Let q(t) be the first derivative of c(t). Determine q(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 384460*b - 57260. Let c(p) = 403*p - 60. Let z(d) = -2863*c(d) + 3*y(d). Let k(t) = 17*t**2. Calculate z(k(m)).\nAnswer: -6953*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/40 + 120\/(-200))\/(1\/12).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2839 is divided by 75.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1898 - 4245 - 2*q + 782.\nAnswer: -2*q - 5361","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1791675 divided by 15.\nAnswer: -119445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1338911655?\nAnswer: 3, 5, 2531, 35267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -522*f**5*k - 3*f**2*k - 81*f*k - k + 7 wrt f?\nAnswer: -10440*f**3*k - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*k - 18 = 240 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3074*u + 3068*u - 6383*u)*(-3*u**2 - u**2 + u**2)*(2*u - 2*u - u) to the form j*u**4 + y*u + i + x*u**3 + l*u**2 and give j.\nAnswer: -723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 2*p - 26 + 13 + 3*p**2 + 14 + 10*p**3. Let d = 5 - 3. Is s(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oyddyoyybdyodydydy. What is prob of picking 1 b and 3 d?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g + 44. Let v be w(6). Is 15 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - i + 6*i - 15, -4*c = 5*i - 15. Suppose -f + 3*f - 278 = c. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (20 - -3)) + (-163 - -159).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117, -72, 5, 120, 279, 488, 753, 1080?\nAnswer: 1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 times 6.88?\nAnswer: -371.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.003 and -0.7.\nAnswer: -0.703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-7)\/((-105)\/110))\/((-1)\/3))\/2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53364 - 53364 - 2*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2290*w - 15. Let g(j) = 12203412*j - 79940. Calculate 3*g(x) - 15988*k(x).\nAnswer: -2284*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*k + 36*k + 50 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08018 + 0.11982. What is the smallest value in -1\/2, 2\/3, g, 7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.2 - 1.7. What is the closest to 50 in 0, c, -2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -24, -2 = m - 2*b - 14 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 83764 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 + -54 - (5 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14065 + -1b?\nAnswer: 14047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhxnlmu. Give prob of picking 1 h and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 250*10\/(-15)*-258. Suppose 8*z = 9*z + r. What is z rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 326\/10 - (-52)\/130. Let f(a) = -a**2 + 5*a - 4. Let l be (-2)\/(-6) - 33\/(-9). Let r be f(l). Solve 4*v - 5*g - 40 = r, 5*v + g = 3*g + p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*l - 60*l = -39*l - 64 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = q - 3860, -4838 = -5*i + q + q. What are the prime factors of i?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3))**(-1\/59)\/(s**(-1)*s**(-2\/9)) assuming s is positive.\nAnswer: s**(652\/531)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/18))**(-48)\/(t\/(t\/t**4*t)*t**(-6\/5)) assuming t is positive.\nAnswer: t**(-707\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -10. Suppose n*x + 0*x = 0. Factor 2\/7*c - 2\/7*c**2 + x.\nAnswer: -2*c*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 2. Suppose 0 = a*u - 83 + 19. Does 17 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - z + 1. Let j(w) = -40*w**3 + 5*w**2 + 5*w - 5. Give -j(b) - 5*v(b).\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or -3383.1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**4\/4 + r**3\/3 - r + 3. Let p(b) = -5*b**3 + 4*b**2 + b - 2. Calculate 2*m(w) - p(w).\nAnswer: 3*w**3 - 2*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 4. Let f be (-5)\/(-25)*15\/(-27). What is the closest to h in f, 1\/2, 2\/13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -5. Let y = 13 + d. Find the second derivative of -a + 0*a**4 - a + a**y wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**2 - 184666*d + 8525382889 = 0.\nAnswer: 92333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 71*u**4 - 5*u**3 + 18*u**2 - 1132. Let v(h) = -106*h**4 + 7*h**3 - 27*h**2 + 1698. Let j(k) = -5*v(k) - 7*w(k). Differentiate j(g) wrt g.\nAnswer: 132*g**3 + 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 2:51 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2382, 2198, 1964, 1680?\n\"Answer: -25*l**2 - 109*l + 2516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1451209*h**2 - 726395*h.\nAnswer: -2902418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -292 or -24258\/83?\nAnswer: -24258\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c. Let d(l) be the second derivative of 0*l**3 - 1\/3*l**4 + 0*l**2 + 5*l + 0. Give u(d(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 35 = 11*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-16) + (-22295)\/(-104). Let x = l - 40. What are the prime factors of x?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -29. Let l be (-874 + p)*6\/(-4). Suppose 4*q - l = q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 3147, 4\/5, -3, 2\/9 in decreasing order.\nAnswer: 3147, 4\/5, 2\/9, 1\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1008909212 to the nearest integer?\nAnswer: 1003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 2. Suppose 5*m + 0*p + 3*p = -43, -2 = 2*p. Let s be (-6)\/21*14\/m. What is the nearest to 1 in -2\/11, s, r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*y + 10, 3*l = -3*y - 0*y + 15. Let m = 2 + -1. What is the nearest to m in l, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j, 1 f, and 1 c when four letters picked without replacement from cjjppfz?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + -55. Let n be (-10)\/p - (-6)\/(-27). Which is smaller: 0.1 or n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -7*g - 4777 + g**2 + 11*g + 4779. Let b be ((-6)\/4)\/((-15)\/(-100)). Let i be 6\/4 - (-65)\/b. What is m(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uvvsgsugsusvgvguvgus. What is prob of sequence vsuu?\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (795 - 805) + (-1 - 2).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 3*r - 2*r - 3*r + r + 0*r + (0 + 1 - 2)*(-1 + 2*r + 1))*(-1 + 2 - 4).\nAnswer: 30*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 2 - 1)*(-2*g**4 + 0*g**4 + 0*g**4) - g**3 + g**3 + 4*g**4)*(-56 - 192 + 712).\nAnswer: 928*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 1\/2 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -7. Suppose o = -3*b - 2*b + 15. Suppose 5*x + 1 = -5*u + 16, -2*u + 6 = 0. Solve -b*q + 2*q + 2 = x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 819.9766km?\nAnswer: 81997660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*q**3 - 1659*q - 37*q**3 + 1659*q - 22*q**3.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000110 - 110011001111010?\nAnswer: -110010101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -9?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -3. Suppose 5*o = -v + 5, -4*o = -v - g - 6. Suppose -535 = o*d - 7*d. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0*f = 2*o - 1077, 0 = 4*o - 3*f - 2151. Suppose n + o = 3*i - 0*i, 2*i + n - 365 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 10 - 2*(-9)\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-544)\/6)\/((4\/(-15))\/(-4)). Let g be a\/(-14) + (-3 - -1). Let n = g - 95. Which is bigger: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 13*k**2 + 46*k - 14. Calculate the remainder when 323 is divided by j(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -8*g. Let j(f) = -2952*f**2 - 16*f + 200. Let h(m) = -553*m**2 - 3*m + 40. Let k(b) = 16*h(b) - 3*j(b). What is k(a(d))?\nAnswer: 512*d**2 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*i = -10. Find the third derivative of 6*x**6 - 3*x**i + 4 - 4*x**6 - 4 wrt x.\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 12:50 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 91411806.6 to the nearest 100000.\nAnswer: 91400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 + 3*l. Let o be (-13 + 12)\/((-2)\/10). Calculate i(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 9*o + 101*o - 3 to the form w*o + b and give w.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 2*b + 25. Let r(j) be the third derivative of 0*j + 0*j**3 + 7\/20*j**6 + 1\/3*j**4 - 4\/5*j**b + 7\/15*j**7 + j**2 + 0. Factor r(p).\nAnswer: 2*p*(p + 1)*(7*p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/296 + 101247\/1480. Let q = -69 + k. Is -0.2 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.993758 rounded to three decimal places?\nAnswer: -0.994","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4480 and 5180.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -3)*(2 - 3) + 2. Solve f*t = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 23*a + 1 + 2 - 5*a. Let m(l) = -2*l - 2. Let u be m(-4). Is t(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24238*z**5 + 5*z**2 + 252095*z.\nAnswer: -484760*z**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -24, 10 in decreasing order.\nAnswer: 10, 4, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 + 0*q**3 - 4*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4946 is divided by (3 - 22 - 3)*-9.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 37103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-5) + (-108)\/240.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*o - 33. Let j = -7 + o. Solve -3*n + 0 = v - j, 2*v + 5*n - 8 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98537662.\nAnswer: 2, 47, 1048273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5*w - 2*w - 4, j = w + 4. Let h(q) = -1. Let p(k) = 11*k + 1. Let s(z) = 3*h(z) + p(z). What is the remainder when 39 is divided by s(j)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a factor of 131138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of 19*l**6\/120 + l**5\/60 + 21*l**2. Find the third derivative of h(p) wrt p.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536 is divided by 137.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1272 greater than or equal to 1318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5 + -27 + -8 + -12 + 35\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -135, 0.2, -1\/3?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**5\/17 - 9256*c**4\/17 + 3159376*c**3\/17 - 347392156*c**2\/17 + 12480586546*c\/17 + 12831147332\/17 = 0.\nAnswer: -4954, -1, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 12:32 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2aa13 (base 14) to base 10\nAnswer: 106249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 124524733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 + 37. Let h(x) = 393*x**2 + 2. Is h(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307*z**2 - 763*z**2 + 325*z**2.\nAnswer: -131*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -7. Let l(t) = t**2 - t - 4. Let x be l(z). Solve s = x*q - s + 10, -q - 3*s - 5 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1028 = -1\/65087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -1.95. Let l = 5\/19 - -4\/57. Put l, x, -1\/3, -3\/4 in decreasing order.\nAnswer: l, x, -1\/3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + 2 - 2)*(73542 - 73542 - 3073*g) + (-3 + g**2 + 3)*(0 + 1 + 1) - 3*g**2 + 2*g**2 + 2*g**2 to the form l*g**2 + o*g + d and give l.\nAnswer: 3076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-12)\/(-74))*1. Let m = -25\/2 + f. What is the closest to -0.2 in -3\/7, -4\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90 - -2 - (9 + -14)) + 83 + -82.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1920 or -1935?\nAnswer: -1935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k = -44 + 275. Suppose -2*t + k = 3. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 11587389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4544*w + 9. Let g(s) = -7*s**2. Determine k(g(i)).\nAnswer: 31808*i**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 619 a factor of 10181312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**7\/1575 - 7*i**6\/2700 - 7*i**5\/450 - i**4\/60 - i**3\/3 - 2*i**2. Let b(v) be the first derivative of l(v). Factor b(j).\nAnswer: 2*(j - 3)*(j + 1)*(4*j + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -z**5\/15 + z**4\/8 + z**2. Let n(t) be the second derivative of 1\/6*t**3 - 5 + 0*t**2 - 25*t. Determine u(n(i)).\nAnswer: -4*i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j + 5. Let b be k(-5). Let w be (-3)\/6 + (-3)\/(-2). Put w, -4, b in descending order.\nAnswer: w, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y + 6. Suppose 0 = 2*q + 3*h - 25, 0 = -2*q - 4*h + 37 - 9. Let g be w(q). Suppose 15*l**4 - 18 - 40*l**3 - 18 + 31 + g*l**2 = 0. Calculate l.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (3 + 5 - -2) - -70) + 3\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25607365783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000023141 to seven decimal places.\nAnswer: 0.0000231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 39377543 to the power of 1\/3, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -226\/3, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 267 and 53133.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 623*l - 42702 = -671*l for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.04, 74\/15, -287?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -150412342 (base 6) to base 14\nAnswer: -5b02c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 832316.5 nanometers in micrometers?\nAnswer: 832.3165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -25, -54, -83, -112, -141?\n\"Answer: -29*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-495)\/(-30))\/((-11)\/(-8))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 39299 divided by -9\nAnswer: -39299\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-two fifths of a meter?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (7 + -3 + 0 - (-76 - -79))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7817868 + -11?\nAnswer: 7817857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31838?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 911, 920, 939, 974, 1031, 1116, 1235, 1394?\n\"Answer: j**3 - j**2 + 5*j + 906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nkxx when four letters picked without replacement from jkxknjkxnnk?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/((-14)\/(-30)) + 1. Solve 0 = -4*u + 3*h - r, 5*h + 2 = 5*u + 27 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s**2 + 16*s + 12 = 0. What is s?\nAnswer: -6\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + 23. Let o = 237 - 223. Calculate the remainder when n is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 PM and 6:14 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3360259?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-22) + 1805\/55?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -3) + -7 + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000188286 to 5 decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -22 - 4 - 3*g - 2. Let s be y(-8). Put s, -1, 0 in descending order.\nAnswer: 0, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3600)*-2)\/sqrt(2))\/(sqrt(2400)*-3))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/15)\/1 - 6\/(-30)*-5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**2 + h**2 + 22*h**2 - 2*h + 2*h - 5*h**2 + h - 2*h**2 - h + (6*h - h - 3*h)*(-4*h - 3*h + 6*h).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10815 is divided by 65?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 AM and 1:25 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -17*n - 10. Let s(p) = p**2 - 4. Let f be s(3). Let l(t) = -11*t - 7. Let z(y) = f*u(y) - 7*l(y). What is the units digit of z(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j. Let d(b) be the third derivative of 431*b**5\/30 - 3838*b**2. Give d(p(n)).\nAnswer: 862*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -541101?\nAnswer: -541055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6714 divided by 570\nAnswer: -1119\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 29086 = 11894. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67157 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.4693 - -0.0143. Let s = -0.545 + l. Which is the closest to 2\/5? (a) s (b) -0.5 (c) 5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - 26) + (-3 - 0) + (1 - 2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/128 and 151\/48.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5927454?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 0 - (-19 - (20 + -39))) + -12\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -440 + 6.59.\nAnswer: -433.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(490))\/sqrt(10) - sqrt(196)\/sqrt(4)*5)\/((sqrt(448) - (sqrt(448)*3 + sqrt(448) + sqrt(448)))*-6*4).\nAnswer: -sqrt(7)\/384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 21. Let a(p) = -p**3 - 10*p**2 + 5. Let v be a(d). Let b(g) = -g - 7. Let j(l) = -l + 1. Let c(f) = v*j(f) + b(f). Give c(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1\/11 (c) -1\/4 (d) 112 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 less than 260624597?\nAnswer: 260624584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1744.2 + 3418.8. Is o at most 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gqzxczzzzzxxx. Give prob of sequence gzzq.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -4*i**2 + 90*i + 46 = 0.\nAnswer: -1\/2, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 21*i = 60097. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 take away 31519599?\nAnswer: -31519624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12382 by 302.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, i: 7}. Give prob of sequence uuui.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3859, 3858, 3857, 3856, 3855?\nAnswer: 3854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 59 + 13)*(4*n + 0*n - 3*n)*(5*n - 29 + 29).\nAnswer: -290*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13607553 + 14?\nAnswer: 13607567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 14 - -21) + -3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1727 - 2*k - 1727.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 8 = -2*p. Suppose -4*y - 13 = -5*y + p*o, 2*o = -5*y + 29. What is the derivative of -v + y - 11 - 11 wrt v?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1282 - 9047 = 75*k - 1553*k + 17 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - ((-6 - 0) + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -7*m**3 + m**2 + m + 1. Let j be (-2)\/3*(-6)\/(-4). Calculate p(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15, 34, 53, 72?\n\"Answer: 19*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 19*j**5\/5 + 32*j - 8. What is the derivative of y(m) wrt m?\nAnswer: 76*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 5*w + 20 = -4*v, 0 = 4*w + 2*v - 90. Let k be 2\/(-11) - (-3 + 45\/55). Put k, 0, w, 3 in ascending order.\nAnswer: 0, k, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 10*n**2 - 9*n + 3. Let r be j(9). Solve -4*a = -r*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 7*g - 6. Let x be o(7). Let d be ((-4)\/x)\/(3\/216). What is d rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7842736)\/(-352) + (-3)\/((-24)\/20) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d204a + -3?\nAnswer: -d204d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67.764 + -0.936. Let k = -68.6999999565 - y. Round k to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1241 - -1244. Let s(q) = 2*q - 5. Let j be s(4). Suppose -7 = 5*r + j. What is the closest to r in 2\/5, n, 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + 7*g - g)*(g**2 + 0*g + 2*g + 1 + 0) in the form l*g**3 + m*g + p*g**2 + u and give m.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2240.4300108 + -2241.3. Let v = -0.87 - c. What is v rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1872)*2)*-5 + (sqrt(637) + 1 + 2)**2 + (sqrt(637) + 0 + 2)**2.\nAnswer: -50*sqrt(13) + 1267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.4 - 3. Let i = v + 1.4. Let h = i - -3.9997. What is h rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25.982 - 4.018. Which is the closest to -4? (a) -5 (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-227*j + 110*j + 90*j)*(-2*j**2 + 4*j**2 - 4*j**2 + (-3*j + j + j)*(-2*j - 2*j + 5*j) + 0 + 0 + j**2).\nAnswer: 54*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/10)\/u)\/u**(-3\/7) assuming u is positive.\nAnswer: u**(37\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, l: 5, b: 3}. Give prob of sequence lbb.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36782 = 21*a + 32*a. Let q = a - -1357. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 9) to base 5\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32\/(-36) + (-18904)\/1251.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 + 17. Let h be 1 + ((-11)\/10 - 1). Let q = h - -3\/5. Which is bigger: q or p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t = 5*u + 21, -51827*u + 51823*u - 7*t = 21 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.65434425 + -12\nAnswer: -12.65434425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 - 2 - 4)*(-8)\/6. Let g = -0.412 - -0.612. What is the fourth smallest value in g, -5, u, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 5*d - 2*a, a + 31 - 2 = -4*d. Let l be 3\/(-12) + (-178)\/d. Suppose -22 = -2*o + 4*q, 0 = 2*o - 0*q + 3*q - l. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*l + 16*l**2 + 77*l**2 - 74*l + 6*l**2 wrt l?\nAnswer: 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -378.95606 rounded to one decimal place?\nAnswer: -379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 458*((-42)\/(-36) - (-4)\/(-6)). Suppose p + 7*o = 4*o + i, 2*o - 4 = 0. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -1\/180*w**5 + 0 - 1\/108*w**4 + 5\/54*w**3 - 1\/6*w**2 - 7*w. Factor y(o).\nAnswer: -(o - 1)**2*(o + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 5. Suppose 3*j = -4*f - 7, d*f - 30 = 3*j - 5. What is the second derivative of -4*p + 2*p + 3*p**2 - p**f + 0*p**2 wrt p?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*z + 222. What is the highest common factor of z and 175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15\/611 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8070 divided by 88?\nAnswer: 4035\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zi when two letters picked without replacement from zmimvigvvzvgv.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7870 and 4?\nAnswer: 15740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100528*l**2*s**3 + 2*l**2*s**2 - l*s**2 + 1269*l*s + 1396*s**3 + 2*s**2 wrt l?\nAnswer: -201056*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 404698 to the power of 1\/2, to the nearest integer?\nAnswer: 636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k**3 + 8*k**2 + 13*k + 12. Let i be 35\/10*36\/21. Let u(o) = o**3 + o. Let d(c) = i*u(c) - s(c). Let m be d(9). Solve 2*n + 0*n - m = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 91541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - 2)*(-45)\/54 - 2. Let p be f + 1 + (-3 - (4 - -67)). Is p at most -70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r - 19 + 38 = -8*a - 26, 24 = -2*r - 2*a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x - 6. Let h be s(5). Let n(z) = -5*z**2 + 10*z - 11. Let j(b) = -4*b**2 + 9*b - 10. Let d(v) = h*j(v) - 3*n(v). Let i = 16 + -11. What is d(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f = -9*f + 5*q - 2940, 5*q = 4*f - 11735. Is f a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*z + 3*z + 24*z = 309. Factor -7\/2*l + 1\/2*l**2 + z.\nAnswer: (l - 6)*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (-5 + -2) - 2. Suppose -4*w + 5*g = -6, -b*w + 14 = w + g. Suppose r + w*r - 50 = 0. Solve r = 2*d + 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.27726532 rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28531 + 29697. Calculate the remainder when i is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 15. Let l be n(15). Suppose l*g - 2*g = -230. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0, 4, -5288\/15, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1.68 (b) 0.3 (c) -0.3 (d) 1\/3 (e) -11\/39 (f) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2*q + 3)*(4 - 3 + 0) - 2*q - 5*q - 4*q - 3*q - 2*q + 3*q as x + c*q and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(25)\/(4*sqrt(80)))**2 + 3 + -2 + (-4*sqrt(125))**2)*-4.\nAnswer: -514565\/64 - 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1.32537, 0.3, -1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 24*d**3 - 6*d**2 + 4*d + 75. Is i(14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205*m = 158*m - 2143 - 457 - 173 for m.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyy when three letters picked without replacement from yyoyyyyyo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*j = -86*j - 1071 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.5, -56102, 1\/6, 5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q. Let d(g) = -19930*g**2. Determine d(p(s)).\nAnswer: -79720*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 1\/2, 2\/5, 3\/20?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*c, -3*f + 0*c - 209 = c. Let o = f + 73. Solve o = d - 5*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t - 3. Let s be k(6). Suppose 3*p - 8 = -5*o, -2*o - 5*p - 8 = o. Solve o*z - 4*g = 12, 0 = -5*z - 2*g + g + s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 5, 3*z - 4*w + 0*w - 41 = 0. Suppose -2*i - 3 = -z. Find the third derivative of i*k**2 + 2*k**5 + 3*k**5 - 3*k**5 wrt k.\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2 - 2 = 0. Suppose 0*z + 3*z = 0. Does 12 divide 38\/(-4)*(y - z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 - -355?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 + 4*j**2 - j**2 - j**2 - 2*j**2 + 5*j**2 + (-3 - 2*j + 3)*(3*j - 2*j - 3*j) + 6*j**2 - 6*j**2 - 5*j**2 as v*j**2 + c + y*j and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6411*a**3 + 1014*a + 1664052 wrt a?\nAnswer: -19233*a**2 + 1014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -2603*r**5\/60 + 210*r**3 + 237*r**2. What is the first derivative of c(a) wrt a?\nAnswer: -5206*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**4\/5 - 12*p**3\/5 + 24*p**2\/5 + 76*p\/5 + 42\/5 = 0 for p.\nAnswer: -7, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emme when four letters picked without replacement from eemmmmm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 131708, 131775, 131842, 131909?\n\"Answer: 67*t + 131641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-539)\/(-110) - (-4)\/40) + 1 + -32\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1639358 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2241 and 664?\nAnswer: 17928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Let b(n) = -2*n + a*n - n + 4*n. Let v(i) = -62*i - 4. Let o(m) = -49*m - 3. Let x(w) = -4*o(w) + 3*v(w). What is x(b(p))?\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2120021000211 - -2?\nAnswer: -2120021000202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*q**4 - 3*q**3 + 13*q**2 + 3316*q + 41348?\nAnswer: -8*q**3 - 9*q**2 + 26*q + 3316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 30853*t - 118. What are the prime factors of y(1)?\nAnswer: 3, 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-30))\/((-6)\/2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/567, -0.5, -3\/5, -3 in ascending order.\nAnswer: -3, -3\/5, -0.5, -5\/567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -0.81, 6 in decreasing order.\nAnswer: 6, -0.3, -0.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 14 + 10. Let v be (-69)\/(-12) + 6\/r. Suppose -v*t - 4*a = -a + 73, 3*t = -4*a - 46. What is t rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1\/1)\/((-4)\/(-20)). Let x be 8\/10*o\/14. Find r such that -4\/7*r**5 + 0*r**2 + x*r**3 + 0 + 0*r + 2\/7*r**4 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5\/6))**(-8\/13)\/((h*h**(-11\/4))\/(h*h**(2\/43))))**(2\/9) assuming h is positive.\nAnswer: h**(22199\/30186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.8 + 2.2. Let z = u + -3.1. Is 3 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/(-1))\/(-2))\/((-35)\/((-111055)\/167)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 337 and 373 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -o**4\/4 + 5*o**3\/3 - 2*o**2 - o - 8. Let c be u(3). Is c - (-3 + 6) - -207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = 2*x. Let q be ((-18)\/(-825))\/(20\/(-25)). Let c = q + -2399\/770. Which is greater: x or c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.1 + -6. Let w = 7.1 + -8. Let z = w - v. Is 6 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10040 to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.8945804 grams?\nAnswer: 0.0000008945804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 2:56 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 428.98262 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vlv when three letters picked without replacement from {q: 6, v: 9, l: 3, n: 1}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 6*s**2 + 5*s - 2. Determine m(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151634860?\nAnswer: 2, 5, 13, 23, 25357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.5079 months in decades?\nAnswer: 0.0792325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 18 = -j - 4. Put 0, -4, 1, j in ascending order.\nAnswer: -4, 0, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**2 + 32*q - 25. Let o be l(14). Let g = o + 113. Let m = -125 - g. List the prime factors of m.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 493021158?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u + 5*m - 910 = 0, -180 = -u - 3*m. Suppose 5*z - t + 3 - u = 0, 205 = 5*z + 4*t. Calculate the remainder when 368 is divided by z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -q**8\/168 - 5*q**4\/24 - 3*q**2. Find the second derivative of y(g) wrt g.\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -450 (base 9) in base 16?\nAnswer: -171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 133573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4068373 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 1\/2*a**3 + 1\/4*a**4 + 0 + 3\/2*a**2 + 4*a + 1\/20*a**5. Let b be h(-3). Is b not equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**5\/c**(2\/15)*(c**(6\/11)*c)\/((((c\/(c**10*c))\/c*c)\/c)\/c) assuming c is positive.\nAnswer: c**(3038\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4\/5, -3895 in decreasing order.\nAnswer: 4, -4\/5, -3895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 153 (b) -20.2 (c) 5 (d) -2\/27 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y + 4. Let t be q(0). Let r be (-12)\/t*(-44 - 0). Suppose -1 = 4*d - 49. Calculate the highest common divisor of r and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 197911090 and 460?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ummmmmmm. Give prob of picking 3 m.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -190*r*t**2 - 263*r*t + t**2 wrt t.\nAnswer: -380*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70364.\nAnswer: 2, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1229 is divided by 424.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 + -36. Let d = -26 + 44. Suppose 5*y = -0*a + 2*a - 18, -v*a + d = -y. What is the smallest common multiple of 7 and a?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-56)\/(-20) - 5\/(-25). Suppose -3*q + 0*p - z*p + 24 = 0, -5*p = -5*q + 70. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 13*d - 69. Let h be a(6). Suppose 3*t - 6 = -2*c, -3*c + 0*t + h = -5*t. Solve -c*w = 5*n - 35, -3*n = -2*n - 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, g: 2}. Give prob of picking 2 g and 1 e.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 7*n**2 - 8*n**2)*(-2*n + 2*n + n + 0*n + n + n + (-6 + 2 + 3)*(4*n - 4*n - n) - 4*n + 0*n - 12*n).\nAnswer: 24*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-5))\/(-5 - (-52)\/10)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4716569098 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -8*r + 2*s + 11, 0 = 5*r + 5*s - 70. Suppose 5*z + 2 = -2*h, 5*z + 42 - r = h. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1194 and 1411308.\nAnswer: 1411308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (1*(-102)\/(-17) - 39\/3). Is -90\/19 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/27716 and -59\/624?\nAnswer: 332592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-28) + 349\/2443?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 8*t + 4*u = -155, 3*t - 93 = -4*u. What is the third derivative of 15*v + t*v**2 + 38*v**2 - 30*v**6 - 103*v**2 + 35*v**2 wrt v?\nAnswer: -3600*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.90321t in kilograms?\nAnswer: 72903.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000168346 to 5 dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -2049.852.\nAnswer: -2049.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*sqrt(22) - (sqrt(220)\/sqrt(5))\/sqrt(2))\/((sqrt(330)\/sqrt(6))\/sqrt(5) + 3*sqrt(275)).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 - (1 + (-13 - -17))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**6\/20 + 31*w**5\/20 + 716*w**3\/3 + 1641*w**2. What is the first derivative of y(a) wrt a?\nAnswer: 18*a**2 + 186*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 408 a factor of 103078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o + 3*o - 2*o)*(o**2 - 3 + 3) - 14*o**3 - 10*o + 10*o + 8*o - 8*o - 9*o**3 + 1 to h*o**2 + q + d*o + m*o**3 and give m.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000378279226 to 7 dps.\nAnswer: 0.0003783","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*y, -994 = -2*p - y - 3*y. What are the prime factors of p?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + i**2 - 1. Let x(p) be the second derivative of -p**5\/20 + 85*p**4\/12 - 95*p**3\/3 + 21*p**2 + 40*p + 1. Let o(g) = -6*d(g) + x(g). Factor o(f).\nAnswer: -(f - 8)*(f - 3)*(7*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85121830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 182397538*x**5 - 268776*x**2 - 40*x + 4 wrt x?\nAnswer: 10943852280*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.057 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -9, -163 in ascending order.\nAnswer: -163, -9, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 18*y - 3. Let a be 236\/(-48) + (-20)\/240. Let x(u) = 12*u - 2. Let q be ((-6)\/4 - -1)*304\/(-19). Determine a*k(v) + q*x(v).\nAnswer: 6*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 1\/6*t**3 + t + 0*t**2 + 0 - 5\/24*t**4 - 1\/360*t**6 - 1\/24*t**5. Let s(b) be the second derivative of g(b). What is s(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or -181\/23?\nAnswer: -181\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-13))**(-2\/9))**(-2\/7) assuming a is positive.\nAnswer: a**(-52\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/2)\/((-6)\/24). Solve -a = -3*h + h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -4, -20, -54, -112, -200?\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11504, 11645, 11776, 11891, 11984, 12049?\nAnswer: 12080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*g + 16, g = -2*i - 2*i - 4. Let a = 10 - 9. Solve -a = c - g*c + 4*v, -14 = -2*c - 4*v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5\/6, 45, -1, -2, 3, 0.101 in decreasing order.\nAnswer: 45, 3, 0.101, -5\/6, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 13*i**2 - 16*i - 15. Let s be j(9). What is the highest common divisor of s and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -85\/2, -35\/176, -0.2, 2\/7, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25062 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*x + x. Let f be (4*(-1 - -2))\/x. Let l = 6 - f. Solve -l = 5*j - 4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1225 - 828. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*u = 5*b - 28, 4*u = 2*b - 20. Let j(w) = -2*w - b*w - 5*w + 3*w. Let h(m) = 0*m + 7*m - 9*m. Determine j(h(k)).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -9939.\nAnswer: 1\/9939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*k - 120206 = -47*k - 6381. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108036 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -643, -1283, -1925, -2569, -3215, -3863?\n\"Answer: -s**2 - 637*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 13*x**2 - 12*x + 24. Determine l(13).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from {r: 3, u: 2, y: 1, e: 7, i: 5}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 699 = 94*c - 9236 + 1099. Solve -c - 31 = -25*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 + 0)*17\/1. Suppose 17*k - 14*k = h. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2893 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 724103?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31776 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*b - 2750*b**6 - 32*b + 2*b**2 - 31 + 577 + 25*b wrt b?\nAnswer: -330000*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -1 - 1080430*d + 1080809*d + 1. Let f(w) = 14*w. Give c(f(z)).\nAnswer: 5306*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - 21*s**2 - 25*s + 64. Let q be x(22). Find the common denominator of 81\/10 and q\/12*2730\/(-80).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181277 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(-2)*880\/99. Calculate the highest common factor of 344 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one fifths of a millimeter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2106910 or -25?\nAnswer: 2106910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -63*u - 6*u**3 - 93*u - 31 + 41 + 106*u**2 - 74.\nAnswer: -2*(u - 16)*(u - 2)*(3*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200232 is divided by 45.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 39b2b (base 13) to base 2\nAnswer: 11010001101011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 13*h**6\/120 - h**5\/15 - 12*h**2. Find the third derivative of k(p) wrt p.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 5*i + 4*i)*(-6*i + 3*i + i)*(12581560 - 1133*i**3 - i**2 - 1712*i**3 - 12581563).\nAnswer: -11380*i**5 - 4*i**4 - 12*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5363*n = -16348*n - 175760 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12 + 48\/4680*-13\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-12)\/5)\/(15\/(-350)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4412127624 rounded to two dps?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-34251)\/30 + (-6)\/20. Let c = 1998 + m. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9572, -4, 14 in increasing order.\nAnswer: -9572, -4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 + -4 + 240\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/84 - (-550)\/24. Calculate the greatest common factor of 575 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 522596 or 522598?\nAnswer: 522598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-3)\/3)\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*4*(1*sqrt(220) - sqrt(220)))\/(sqrt(30)\/((-2*sqrt(36))\/sqrt(6))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1025433, 1024937, 1024455, 1023993, 1023557, 1023153, 1022787, 1022465?\n\"Answer: w**3 + w**2 - 506*w + 1025937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*p**2 + 33*p**2 - 18*p**2.\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55571624?\nAnswer: 2, 151, 179, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (25\/(-100))\/(-2 + 2\/((-48)\/(-46))). Solve 3*d + 29 = -5*z, -c*d + 14 - 3 = -5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 m, and 1 x when four letters picked without replacement from ixemiemeimmmmeme?\nAnswer: 9\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -12.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 - 31*m + 6. Determine h(-16).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93540 is divided by 183.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 3*s - 6. Let k be c(6). Let m = -36457 - -36473. Solve 0 = k*a - m*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3369, 6765, 10181, 13617, 17073, 20549, 24045?\nAnswer: 27561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211 + 1222102212000?\nAnswer: 1222102220211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -341*m - 7 - 62*m + 7 - 3*m**2 to v + l*m + x*m**2 and give l.\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 238*q - 853. What are the prime factors of j(27)?\nAnswer: 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = 25*q - 28*q + 17, -5*a = q + 9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357 + 159 = -12*g for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/20)*f**22)\/((f**(2\/11)*f)\/f*f**(-1\/88)) assuming f is positive.\nAnswer: f**(9539\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -867da2 (base 15) to base 5\nAnswer: -3114433302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(77) + (sqrt(77)*1 - sqrt(77))) - sqrt(77))\/(sqrt(1100)*-3 - sqrt(1100) - sqrt(1100)).\nAnswer: 3*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.9 - 0.9. Let u = -1 + 4. Let g = u - 2.4. What is the second smallest value in -4, i, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**5\/4 + 3*z**4\/2 - 9*z**3\/2 - 3*z**2 + 39*z\/4 - 9\/2.\nAnswer: 3*(z - 1)**3*(z + 2)*(z + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*s + 273\/2*s**2 + 1\/2*s**4 + 0 - 137*s**3 = 0. Calculate s.\nAnswer: 0, 1, 273","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -52*c + 56*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -7, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17677 - 4?\nAnswer: 17673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 26 (b) 2 (c) 0.1 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 4) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 1 + 0 + 2*r**3 - 3*r**3 - 7*r**2 + 2. Let v = -10 - -2. Is c(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8601728\/(-3363))\/34 + (-4)\/38. Suppose d = 3*d + 152. Are d and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*q = -34687 + 32935 for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/13)*p)\/((p*p*p**(2\/13))\/p*p*p))**(-2\/65) assuming p is positive.\nAnswer: p**(12\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 530 - 18*r**3 + 29*r**3 + 526 - 1582 + 526.\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/(g**(-4\/21)*g))*g**(-19\/2))\/((g**(-20)\/g)\/(g**(-23)*g)) assuming g is positive.\nAnswer: g**(-449\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6*y - 6. What is the tens digit of c(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84b3 (base 13) in base 4?\nAnswer: 10133132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/3, -0.3, 114.3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 - -3455?\nAnswer: 3501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f - 5 = -8*f. Let v(r) = r**2 + 3*r - 7. Give v(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seventeen halves of a centimeter?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**2 - 69*q**2 + 31*q - 20*q**2 - 33*q - 5.\nAnswer: -92*q**2 - 2*q - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 23*c + 161. Let d be k(30). Suppose -370*l - 16 = -d*l. What is the lowest common multiple of l and 56?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**3 - 2. Let f(v) = 12*v**3 + 9. Determine 4*f(h) + 18*x(h).\nAnswer: -6*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -12*c. Let t be (6 + -3)\/((-3)\/(-4)). Let u(r) = 8*r - 12. Let s be u(t). Let q(b) = 7*b + b - s*b + 10*b. Determine q(z(y)).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**2 - 2. Suppose 3 = 4*v - 5. Let o(y) = -2*y + v*y - 4*y - y**2 - 1 + 3*y. Calculate b(x) - 2*o(x).\nAnswer: -x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1002021220 (base 3) to base 15.\nAnswer: -64d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - s - 4*s)*(-2647 - 1810 - 4445 + 900 - 288).\nAnswer: 24870*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.48047 * -239\nAnswer: 114.83233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < -760641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iibi when four letters picked without replacement from {i: 3, b: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 73258484 to the power of 1\/3, to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -79\/3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 0*a + 2 + 2 + 0*a - 5*a**2. Let p(g) = -3*g**2 - g + 2. Let h(d) = -4*l(d) + 7*p(d). What is h(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-111)\/(-37)*1\/((-9)\/(-9411)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61115\/4 - 15279. Let w = 5 + -9. What is the smallest value in -0.05, -0.2, w, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 31767353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5*f = 40, f = -4*f - 20. Let q be (-60)\/j*(-20502)\/5. Suppose 0 = 3*z + 73494 + q. Round z to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -1027*h**3 - 4*h**2 - h + 9. Is i(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610009651 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 12 = 6*t. Is 11 at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1090, -2159, -3228, -4297, -5366?\n\"Answer: -1069*x - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5937 is divided by 80.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 16. Let t be (-12)\/22 - 6008\/(-44). What is the highest common factor of k and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of f**6\/480 + f**5\/80 - 3*f**4\/32 - 11*f**3\/6 + 27*f**2. Let g(c) be the first derivative of z(c). Find m such that g(m) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2. Let t(m) = 14*m**2. Let f(r) = -12*r**2 - 13*r**2 + 24*r**2. Suppose 3*j + 36 = -0*j. Let i(q) = j*f(q) - t(q). Determine i(v(p)).\nAnswer: -2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7\/2 of a microsecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - q**2 + 4*q + 1. Let f be g(0). Let p = -17 + 25. Calculate the remainder when -1*(f*-3 + -10 + 1) is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of 11*i**7\/35 + 23*i**3\/3 - 25*i**2 + 7*i. Let p(r) be the first derivative of a(r). What is the derivative of p(h) wrt h?\nAnswer: 264*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 14 = s, -2*s + h = 2*s + 12. Is (-1 - -2)*s + 14 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, k: 1, c: 5}. Give prob of sequence kv.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.0469891 rounded to one dp?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.719531 and -0.06.\nAnswer: -5.779531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 203 + -197. Solve h = -1 + x for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g - 3. Let y be n(-14). Suppose 3*d - y = 2*d. Calculate the remainder when d is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/313 and 4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -14, -289896, 0 in decreasing order.\nAnswer: 0, -5, -14, -289896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56159 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2174132 >= -2174135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-10)*(-40)\/12*(-90)\/525.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2692514, 2692507, 2692494, 2692475, 2692450, 2692419?\n\"Answer: -3*i**2 + 2*i + 2692515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102639778?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, t: 3, x: 3, p: 3, l: 1, b: 2}. Give prob of picking 1 t, 1 x, and 1 l.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/235760325?\nAnswer: 1\/235760325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3046 = 3*m, 2*m - 3*w - w - 2038 = 0. Suppose -3*k + m - 6 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 244, -1 in ascending order.\nAnswer: -3, -2, -1, 244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0*d = -d - 1139, -3*a + 2*d = -689. What is the remainder when a is divided by 80?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/(-24)*(-4)\/3. Let a(o) = -o + g*o - 5*o. Let q(x) = 11*x + 17. Let z(j) = 4*j + 6. Let u(h) = -6*q(h) + 17*z(h). Calculate a(u(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8103*1209.\nAnswer: -979.6527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 51*b**2 + 99*b + 5. What is a(49)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -231 - -386. Let p be (-4 - -3)*i\/(-1). Suppose 2*l - p = 7*l. What is l rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*h + 205 - 298 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1645236365 to the power of 1\/4, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + y - 4 = 5*k, -k + 8 = 3*y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pt when two letters picked without replacement from {p: 5, t: 2}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.4, -2\/7, -7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*7*(-3)\/(-105)*5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -3*v - f - 10, 0 = v + 5*f - 25 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 5*s - 12, -30*s + 31*s = m + 12. Let a(k) = -168*k**2 + 77*k. Let l(j) = -j - 2*j**2 - 4*j**2 + 19*j**2 - 5*j. What is m*a(g) - 77*l(g)?\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.65*4.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 33218, 66440, 99664, 132890, 166118?\n\"Answer: g**2 + 33219*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7*i - 34. Let g(p) = 15*p + 2*p**2 + 3*p**2 - 4*p**2 + 35. Let a be g(-11). Does 28 divide t(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*b = 114*b - 10584. Let a be (4\/3)\/((-2)\/(-9)). Let q be -2 + 4 + a\/2. Solve q*v = -11 + b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7323954107?\nAnswer: 41, 178633027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 0, -2.78871, 1, 0.1, 4 in increasing order.\nAnswer: -2.78871, 0, 0.1, 2\/13, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6503416 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - 48. Let u(r) = -3*r - 7. Calculate u(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y = 55*y - 272 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -44?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3400)\/(-2125)*2\/4*5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide (1 - -2) + 1680\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/17 (b) 46 (c) -2\/11 (d) 0.08 (e) 849\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 5*s + 36, 0 = -2*s - 0*s - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*i*l**3 - 65*i*l*u - 3*i - 2*l**3*u**2 - 2*l**3 + l*u**2 wrt u?\nAnswer: -65*i*l - 4*l**3*u + 2*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (900\/30)\/(4\/(-114)). Let w = v + 1246. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 11016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*c + 50*c**3 + 47*c)*(-c + c - c) + (-2 + 3 + 1)*(2*c**4 - c**4 + 5*c**4) + (-4*c + c + 2*c)*(c**3 - 4*c**3 + 2*c**3).\nAnswer: -37*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3) - 141\/(-9). Let f = 50 - k. What is the greatest common factor of 51 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 3, -5, 105, -241 in ascending order.\nAnswer: -241, -5, -2, 3, 4, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 AM and 5:11 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 - 9)\/(5\/(190\/(-4))). Let w = 4 + -2. Suppose -35 - v = -w*t. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-15\/8)*a**(-4\/3))**14 assuming a is positive.\nAnswer: a**(-539\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + (-116)\/36)*(0 - 9). Factor -1\/2*f + 0 + f**u + 0*f**3 - f**4 + 1\/2*f**5.\nAnswer: f*(f - 1)**3*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2345 - 1238. Calculate the common denominator of 65\/2 and a\/36 - (-1)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-6)*-1*6. Let k(i) = -i**3 - 3*i**2 - 3*i + 1. Let t be k(w). What is the units digit of 2*-1 + t\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**2 - 16*r + 4. What is the lowest common multiple of 14 and h(-5)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1784, -3568, -5348, -7124, -8896, -10664?\nAnswer: -12428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 38. Suppose -h + o*n = -8, -2*h + 5*n = -6 - 5. Find the third derivative of -23*w**6 + 9*w**6 - 32*w**2 - 3*w**6 - h*w**6 wrt w.\nAnswer: -4200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 1\/10, 0.5, -9873, -0.3 in decreasing order.\nAnswer: 4, 0.5, 1\/10, -0.3, -1, -9873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76) + (sqrt(76) - 2*sqrt(76)))) + -2)**2.\nAnswer: -8*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -13, -0.4, -1360\/21?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20120001022220 (base 3) to base 2.\nAnswer: -1101010010110010111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 191*y + 33*y + 3.\nAnswer: -158*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-3)*(-322)\/(-1127)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.386 rounded to 1 dp?\nAnswer: 43.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115 by 23.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*-4*(-152)\/(-288).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 32.45272 millilitres?\nAnswer: 0.03245272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85077347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 5623406753.839?\nAnswer: 5623406754.839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-12)*10*(-1)\/10\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 893.202ml in litres?\nAnswer: 0.893202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-105)*7\/(-2))\/(118\/3776)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + -1 - (-1 + -5). What is the tens digit of (0 - -1)\/p + (67 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.91843 - -524.06857. Let j = -535 + c. What is the closest to -1 in -5, j, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9.140126 years?\nAnswer: 0.9140126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 237?\nAnswer: -237.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9318066 litres to millilitres.\nAnswer: 931.8066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*b - 337*b - 28304 = 94*b for b.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99 and 29018.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21199928 or 21199923?\nAnswer: 21199923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -361\/818?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 8*i**2 - 8*i + 11. Let g be u(-9). Let r be g\/(-2)*1*1. Which is the nearest to r? (a) -0.4 (b) 4\/9 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.875*0.5\nAnswer: -0.9375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -476 divided by 17\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-10 - 1925\/(-210))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -15*m + 274. Is l(-24) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j - 22. Let n be p(-8). Let t(m) = 8*m**3 + 4*m**3 - 3*m**n + 1 - 2*m**3. What is the tens digit of t(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3521 + -450?\nAnswer: 3041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.3 = 0.066067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/6*-2*(-15)\/5?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29512?\nAnswer: 2, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1287.4 + 1294.553. Let b = 1.18 + -1.133. Let f = b + j. Round f to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 - 3 + 5 - 2 - 27*c.\nAnswer: -3*c**2 - 27*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -117 - -115. Which is the nearest to 1? (a) -0.3 (b) 0.4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 - 3 + 3)*((19 - 8 + 1)*(r + 0*r + r) + 35*r - 47*r - 38*r)*(-2*r**2 + 2*r**2 - r**2).\nAnswer: -52*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i + 3*i + i. Let c(g) = -g. Let p(q) = -1. Let l(k) = -c(k) - 3*p(k). Let z(a) = -a - 5. Let n(v) = -5*l(v) - 3*z(v). What is n(w(o))?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4 - 0, 5*r - 8 = n. Let o(x) = 16 + 6*x - x**n - 30 + 20. What is o(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*(0\/(-1))\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1450 - 29*y + 1450 - 325*y in the form z*y + p and give z.\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283683 is divided by 1377.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2602 - 2598. Solve -5*x + 9 = 2*o, 0*x - 3 = m*x + 5*o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, s: 1, c: 1}. What is prob of sequence acs?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12*(-3 + 51\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**3 - 64*m**2 - 1660*m - 6200.\nAnswer: 4*(m - 31)*(m + 5)*(m + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 72 = 0, -696 = -3*y + x - 685 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*1\/(-3))\/((-903)\/9933).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 56*l = -145*l - 39*l + 948 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (((-250)\/(-15))\/(-10))\/((-75)\/270)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*x**2 + 404*x\/3 + 88\/3.\nAnswer: 4*(x + 11)*(9*x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 371.23 (b) 2\/9 (c) -4 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 25*u + 22*u = 171, 189 = v + 3*u. Calculate the remainder when v is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 467587 - 467824.353. Let f = 1.947 - t. Round f to the nearest ten.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/2))**(-5)*j**3*j*j\/j**(2\/7) assuming j is positive.\nAnswer: j**(101\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -5*p**2 - 3. Let s(n) = n**3 + 16*n**2 + 62*n + 18. Let a be s(-6). Let m(k) = -k**2 + 1. Determine a*m(w) + 2*i(w).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93113\/2 - 46578. Let h = -3 - -3.2. Is p > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -4*w**4\/3 + w. Let f(z) be the second derivative of z**4\/4 + 1267*z. Determine i(f(u)).\nAnswer: -144*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 233 and 20038?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*q**3 + 5*q**3 - 13*q**3 + q + 60 wrt q?\nAnswer: -78*q**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -74*u - 31. Let y be b(-6). Let f = y - 381. Calculate the highest common divisor of f and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 divided by -43?\nAnswer: -25\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**3 - 1169*f**2 + 4552*f + 359. Calculate s(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14571 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4379657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7c (base 16) in base 4?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 11 - 20 = 0. Suppose -41*x**2 - 10*x**3 + 6*x + h*x**3 + 14*x**2 = 0. Calculate x.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7262337, 7262293, 7262249, 7262205, 7262161?\nAnswer: 7262117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 15895, 0, -4, 4 in increasing order.\nAnswer: -4, -2, 0, 3, 4, 15895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -5*q**4 - 470*q**3 + 115075*q**2 + 586500*q = 0.\nAnswer: -204, -5, 0, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1100) - (-1*sqrt(1100) - sqrt(1100))) + 1 + sqrt(1100))*-3)**2 - 4*(-5*(sqrt(1331) - (-2 + sqrt(1331))) + sqrt(1331))**2.\nAnswer: 1600*sqrt(11) + 152685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/455)\/((-55)\/(-110))?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2791531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 122.86 - -153.24. Which is the third smallest value? (a) u (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 3*j**2 + 2*j + 3. Let n(h) = h**3 + 18*h**2 - 40*h + 3. Let o be n(-20). Determine f(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/2, -4\/9, 1\/3, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -146 and -48.\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -51879 + 51843 for k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and 196515.\nAnswer: -2751210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187) + (sqrt(187)*-2 - sqrt(187)))*6)\/(sqrt(132)\/sqrt(108)) + -3)**2.\nAnswer: 216*sqrt(17) + 22041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/14 and 17\/17748454?\nAnswer: 124239178","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-27)\/138*(-2)\/12. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2426 + 2428. Suppose h - 4*g - 25 = -1, 4*h - 1 = -3*g. Suppose 0 = 2*o + 8, x*k = -0*k - h*o + 142. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-53)\/(-265)*(-5)\/15*-3*155\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10486 and 294?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 303916377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7344717283 to the power of 1\/2, to the nearest integer?\nAnswer: 85701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 204\/(-14)*(1026\/(-36) - (-250)\/10).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17577490.\nAnswer: 2, 5, 7, 17, 14771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 0 + -4 + 1 + 2 + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -234*x**2 + 1176*x - 784*x + 666*x**3 - 391*x wrt x?\nAnswer: 3996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k - 3*k + 4*k)*(78*k - 303 - 465 - 77*k) to o*k**2 + i*k + x and give i.\nAnswer: 768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5df7 (base 16) in base 8?\nAnswer: -56767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/18 and -47\/855.\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 103 = -9*l + 149. Solve 2*x = -310*q + 311*q + 1, -2*q = -l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5167 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.6985 + 0.0995. Let p = 0.8 - z. Round p to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**4\/3 + 280*k**3 + 48374*k**2\/3 - 2164120*k - 13171528\/3 = 0?\nAnswer: -307, -173, -2, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -22*g**2 - 2*g. Let p = 85 - 83. Let r be u(p). Which is smaller: r or -91?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -5. Let s(l) = l**2 - 8*l - 2. Let q be s(9). Let y be 11 + q\/(21\/9). Solve -k*g - 8 = 4*n, 3*g + 5*n = -y + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*18891\nAnswer: 94455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 79, 180, 283, 388, 495, 604, 715?\n\"Answer: o**2 + 98*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -251*s**2 - 2*s - 3. Let p be h(-1). What are the prime factors of 4\/(-14) + (-200664)\/p?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89 - 978\/11. Suppose 74*b - 21 = 53*b. Are j and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 92\/24 - (-1)\/6. Suppose d = -l*d + 285. What is the highest common factor of d and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-81)\/(-15) + -5 - 2651\/(-2410))\/((-2)\/(-144))?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -116003263?\nAnswer: -46401305.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 2*q**3 + q + 0 + 1\/2*q**2. Let b(t) = -6915*t - 103726. Let u be b(-15). Determine f(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65.896 + 0.104. Let p = -66.037 + h. Round p to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/5)\/((-63)\/(-210))*-2. What is the second smallest value in -2, y, -4, -1\/3, -0.01?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b. Let p(z) = 10758*z**2 + 2. Give m(p(u)).\nAnswer: -10758*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1141.\nAnswer: 7, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 393.13 rounded to the nearest 10?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 31 - 76*b + 13*b**3 + 42*b + 35*b. Let n(v) = v**2. Calculate z(n(a)).\nAnswer: 39*a**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*q + 41*q + 4 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 91?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-56)\/(-9) - (-7)\/((-252)\/8). Let s(g) = 7*g - 15. Let p(j) = j. Let i(h) = -2*h + 2. Let q(z) = -4*i(z) - 4*p(z). What is u*s(v) - 11*q(v)?\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 3*r**5\/4 - 20*r**4\/3 + 25*r**3\/2 + 45*r**2 + 11*r. Find g such that q(g) = 0.\nAnswer: -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of j**4\/4 - 7*j**3\/3 + j**2\/2 - 4*j + 1. Let g be u(7). Let o be 32\/(-40)*(-65)\/2 + -3. Solve -5*a - o + g = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r - 3*r - r**4 + (-3*r**4 + 4*r**4 - 3*r**4)*(1 - 1 - 2) + 4*r**4 + 3*r**4 - 5*r**4 - 5*r**4 + r**4 - 3*r**4.\nAnswer: -2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 21*l**2 + 19*l - 11. Let a be 5\/30 + 0 - (-121)\/(-6). What is the remainder when 34 is divided by q(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 722 is divided by 85.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 580320508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11)\/(-3) + 4\/12. Suppose -3*q - f + 14 = 3*f, -4 = -m*q + 2*f. Suppose 5*u = 4*g + 12, -q = -2*g + 2. Solve u*v - 2 - 2 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -3112551?\nAnswer: -3112553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15060, 26837, 38614?\n\"Answer: 11777*w + 3283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 690*l**4 - 290775*l + 290775*l + 2012*l**2 wrt l?\nAnswer: 16560*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571 a factor of 136793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 4:23 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 8160 = 32791 - 3469. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -5*j**3\/2 - j**2\/2 - 3*j - 176. Let c(d) = -12*d. Determine c(w(k)).\nAnswer: 180*k + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.009628292016 rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -88362 or -87489?\nAnswer: -87489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wrmv when four letters picked without replacement from {r: 3, w: 1, v: 2, m: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 3*h = -6840. What are the prime factors of h?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45042927*t**2 + 74804548*t.\nAnswer: -90085854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 152 + 119. Let f be 0\/(-6*(-3)\/6). Suppose 3*k - b = -f*k + 5*y, -4*y + 16 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19 and 62?\nAnswer: -1178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*o + 29 = 5*n, 4*n - 2*o - 26 = 0. Suppose -w + 116 = -n*f + 8*f, 5*w - 4*f - 510 = 0. What are the prime factors of w?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + -2 - (-2 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42796 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -589 - -599. Solve r*q - 11*q = 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2102201 + -2122112001?\nAnswer: -2201221202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)\/v*v*v**(1\/5)\/v)**(-2\/95) assuming v is positive.\nAnswer: v**(48\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16605\/(-28413) - -3*3\/(-33).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9316 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (196 + -208)*(-2)\/28?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + 2. Let c(z) = z**2 + 3*z + 24. Let r(l) = c(l) - 6*h(l). Let b(o) = -4*o**2 - 2*o - 6. Determine -5*b(x) - 3*r(x).\nAnswer: -x**2 + x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/8 (b) 4 (c) -9 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of d**4 - d**3 - 502866*d**2 - 1680019.\nAnswer: 4*d**3 - 3*d**2 - 1005732*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*t + 4*m, 2*t - 5 - 5 = -2*m. Suppose 0 = -4*x - b + 50 + 11, 4*b + 60 = t*x. Let a = 22 - x. What is the smallest common multiple of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 15. Suppose 22 = -3*c + c. Let g be m(c). Suppose -g*d + 245 = d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -8. Suppose -i*d - 60 = -6*d. Suppose -4*j + 47 = -33. Calculate the highest common factor of d and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-10)\/(-8))*(-5)\/16?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 11*c - 26 = 0. Suppose -5*i + c = -3*w - 3, 3*w - 24 = -3*i. What is the second derivative of 11 - 11 + 12*q - 52*q**w + 17*q**3 wrt q?\nAnswer: -210*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6333\/8 + -147227\/186. What is the common denominator of -113\/1488 and g?\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 22*v + 576 = 0. Suppose 5*n - v = 227. What is the remainder when n is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*t - 5*t - 3*t)*(-1 + 2 - 3 + (-2 + 6 - 2)*(-171 + 174 + 118)).\nAnswer: -480*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 121003 (base 5) in base 7?\nAnswer: 16062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {v: 3, j: 8, s: 5}.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 4111*k**2 + 18*k - 1396. Let w(t) = t**2 - 4*t - 8. Let g(x) = -h(x) - 4*w(x). What is the second derivative of g(m) wrt m?\nAnswer: -8230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 2 - 3 + 3)*(2*z**2 + 2*z - 2*z).\nAnswer: 4*z**3 + 4*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7600 - -7605. Put 4, 6, 0, -0.05, k in descending order.\nAnswer: 6, k, 4, 0, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1315790.7 to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-3)*288\/(-10800).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4352*i**2 - 21*i + 20. List the prime factors of p(1).\nAnswer: 19, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 69 + 21 = 0. Let n be 4\/18 + 31\/q. Let j = n + 11\/6. What is the nearest to j in -2, -3\/4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a**2 + 1. Let f be b(0). Suppose -6 = -3*q - 0*q. Suppose l = f + q. Solve 4*t - l = 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 814, -1, 4, 5, -2 in increasing order.\nAnswer: -2, -1, 4, 5, 9, 814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3048*161\nAnswer: 490728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 1 + 2 = 0, 0 = -4*h + q + 9. Let w(u) = 3*u**2 - 2*u - 5. Let k be w(h). Suppose k*n = 4*g - 28, g = 6*g + n - 54. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*m + 6, -o - 2*m - 2 = 3*m. Let j(w) = 3*w - 3*w + o*w. Let b(u) = 2*u. Give b(j(x)).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from ttfftftttttftf.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 635 = 3796. Let d = -618 - o. Sort d, 2, -4 in increasing order.\nAnswer: -4, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*u - 13*u + 13*u as g*u + o and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141883*t**3 - 142236*t**3 + 18 - 18.\nAnswer: -353*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1588 (base 9) to base 5.\nAnswer: -14324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.07 (b) -2 (c) 865 (d) 0.2 (e) -0.55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/360 and (-5)\/(-75)*(-72)\/960.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1108*g**2 - 33*g + 41.\nAnswer: -2216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -y**6\/240 - y**5\/120 + y**4\/48 + y**3\/12 + 5*y**2 - 1. Let i(a) be the second derivative of g(a). Factor i(k).\nAnswer: -(k - 1)*(k + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16573331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 3*j - 46. Suppose -588 = -3*a - 11*a. Let k = 33 - a. What is the remainder when 13 is divided by i(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93, 185, 277, 375, 485, 613?\nAnswer: 765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*q + 6*q - 76, 3*s - 2*q = -118. Let o = s - 3012. Is (-2)\/(60\/o) - 2\/(-10) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181.81714672 rounded to one decimal place?\nAnswer: 181.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2. Let f(z) = 248855*z**2 - 69*z + 2. Give f(g(u)).\nAnswer: 995420*u**4 + 138*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000527076 rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/(-5))\/((-8)\/(-20)). What is the greatest common divisor of s and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g**2 - 3*g + 4. Let v be q(-3). Suppose 208 = -52*o - 260. Let b = o - v. What is the third biggest value in -3, 0.01, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -232\/5, -19, 588, -5, 4 in descending order.\nAnswer: 588, 4, -5, -19, -232\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 192 + 4*g**3 + 27*g**2 + 160*g + 0*g**3 + 17*g**2.\nAnswer: 4*(g + 3)*(g + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*g = 2*w + 1328, 3*g = 4*w + 1992. What is the greatest common factor of g and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**4 - 2825*q**3 - 350715*q**2 - 692935*q - 345050 = 0. What is q?\nAnswer: -103, -1, 670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 114.4375906 to three decimal places.\nAnswer: 114.438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24025070409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 977*p + 169 - 1946*p + 973*p + 115.\nAnswer: 4*p + 284","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*n - 8 = 0, -4*y - 5 = 5*n + 3. Let k = 0.02 - -0.48. Which is the closest to y? (a) k (b) -3\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 139.52 - 139.54083. Round a to 4 decimal places.\nAnswer: -0.0208","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 12:11 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*((-39)\/9 + 3). Find the third derivative of 20*n**6 - 3*n**6 - j*n**6 + 11*n**2 + 6*n**6 wrt n.\nAnswer: 2280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 2)*(-2 - 9). Suppose -3*x = -4*k - h - 37, 4*x - 12 = k. Let z = k - -17. Solve 4*c = -z - 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -103 + 6181\/60. Let f(w) be the third derivative of 0*w + 0*w**4 + 0*w**3 + 0 - y*w**5 - 3*w**2. Let v(a) = a. What is v(f(u))?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 + 4*q - 2. Suppose 0 = d + b - 3, -5*d + d + 2*b + 36 = 0. Let k be 198\/(-42) - 2\/d. Let v = k - -7. Give j(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -126, -100, -72, -42, -10?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.40829 and 0?\nAnswer: 1.40829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - r**2 + 3*r + 4. Let w be h(-2). Suppose 3*d = -z + 11, d - 2*d - 3*z + 9 = 0. Solve -w*n = -n - d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.693 + 0.393. Let g = -21.3 - y. Put -0.5, 1\/7, 3, g in increasing order.\nAnswer: g, -0.5, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/150 and 52\/369165.\nAnswer: 3691650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 4*a + 2*a + (4 + 0 - 5)*(a - 2*a - a))*(3 + 4 - 5 + (4 - 1 + 1)*(7 - 4 - 2) + 2 - 1 - 6) + a + 3*a - 2*a + (3 - 3 + 2)*(-3*a + 6*a - a).\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1090 divided by -2?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*c - 3*g - 22, 5*g + 20 = 0. Let f(a) = -a**2 - 5*a + 1. Let n be f(0). Let i = n + c. What is the lowest common multiple of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1666 and 188748?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12, 0.3, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1745297561 divided by -2?\nAnswer: -1745297561\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 16*y**3 + 2*y**2 - 1. What is the units digit of p(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 35. Let i be 10*(-3 - 4\/(3 + j)). Let l(n) = -12*n**2 - 9*n. Let u be l(i). Round u to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2632, 2607, 2582?\nAnswer: 2557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6905.673566 rounded to the nearest integer?\nAnswer: 6906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*p*t**2 - p*t - 2807*p + 6049*t**3 - 4 wrt t?\nAnswer: -14*p + 36294*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**20)**17 assuming z is positive.\nAnswer: z**(-306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 - 14404?\nAnswer: -14325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 164913*h**3 + 12*h**2 + 436011 wrt h.\nAnswer: 494739*h**2 + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 60*r - 96. Let x(v) be the third derivative of 0*v + 11*v**2 + 1\/6*v**4 - 5\/6*v**r + 0. Give x(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/35, -0.2, 2, -3 in descending order.\nAnswer: 2, 1\/35, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 23*o - 31. Let r be l(-22). Let j be (-9)\/(-2)*(57\/r + 7). Is j equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b - 18 + 2*b**3 + 2*b**2 + 17 + 0*b**2 to the form n*b**2 + v + j*b**3 + m*b and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = l - 119, -l - 6*n - 48 = -9 + 152 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*(10 + -6 + -3). Suppose 0*a = -4*a + 20. Differentiate a*z**2 - 2 + t - 3 with respect to z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -167330, -334661, -501992, -669323, -836654?\nAnswer: -1003985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 17. Let z be m(-4). Calculate the highest common divisor of 7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.74 - -0.28. Let l = 6.02 - x. What is the nearest to -1\/3 in 2, -2\/37, l?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 - -68. Let w(q) = 22 + 4 - 9*q - 12*q. Let o be w(a). Round o to the nearest ten.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 2*g - 5*i - 285, -2*g - 5*i = -275. Calculate the least common multiple of g and 25.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00095250063 rounded to six dps?\nAnswer: -0.000953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9 - -4*25\/(-20). Solve -3*d = 2*u - 16, v*d - 4 - 6 = 3*u for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((-2*sqrt(108))\/sqrt(6))\/(sqrt(45)\/(sqrt(80) - sqrt(5) - sqrt(5))))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 12*z**2 - z + 15. Let j be w(12). Let s be -2 + (-1 - (-2 + j)). Let d = 0.3 + 0.7. Which is the third smallest value? (a) d (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (9364\/(-5))\/(4\/(-3) + (-30)\/(-25))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**7\/84 + 11*v**4\/24 + 3*v**3 - 10. Let a(g) be the third derivative of m(g). What is the first derivative of a(c) wrt c?\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13701337 to the power of 1\/4, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2903.87711 - -1.20289. Round j to the nearest one hundred.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 8233 + 3149 = 0. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -13. Suppose j = q - 1. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 0\/1) + -5. Suppose 3*z - 4*w = -z + 12, 4*w + 12 = 2*z. What is the third smallest value in f, z, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -33449 (c) -1 (d) -27 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81747 is divided by 191.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1601489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.046851 minutes?\nAnswer: 2811.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 34 = -y - y, 2*y + 5*r = 34. Let f = 2202 + y. Suppose -f = -p - 6*p. Does 34 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -0.463955?\nAnswer: 0.363955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*q + 57 = 0, 2*i + 4*q = -i + 75. Suppose i = u - 4*u. Let g(l) = -6*l - 1. Let h(x) = 11*x + 2. Determine u*g(d) - 4*h(d).\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 4, 0, -1, -9, -11, 81 in increasing order.\nAnswer: -21, -11, -9, -1, 0, 4, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, -6, -218, -486 in increasing order.\nAnswer: -486, -218, -6, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9363990 and 984?\nAnswer: 37455960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ibbibjjvibeiqibe. What is prob of sequence ie?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*l + 61*l - 6672. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -38, -71, -132, -227, -362, -543, -776?\n\"Answer: -l**3 - 8*l**2 - 2*l - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1021 + -221?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 40, -2, -96 in decreasing order.\nAnswer: 40, -2, -5, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26722?\nAnswer: 2, 31, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.01 + 0.01. Suppose -18 = 4*w - 2. Let c be ((-7)\/(-35))\/(w\/5). Which is smaller: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 6 - (11 - -9) - -17 - -87.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + f**2 - 4*f + 13. What is g(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + -4.9. Let k = 32.016 + -0.016. Let y = k - 31.9. Do b and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*g = -8, 5*g - g = -16. Let u = 23 - 15. Suppose s = -4*p + 3*w + 3 - 13, -3*p - u = -2*w. Sort -2, 4, p in increasing order.\nAnswer: p, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14455952?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -21657715?\nAnswer: -21657715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1066 (c) 79 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 1 = 8*i. What is the closest to 1\/2 in -3, -21, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3899\/8 + -487. Sort -0.68, 0, j in descending order.\nAnswer: j, 0, -0.68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10\/9 (b) -0.3 (c) -10 (d) -2\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34219?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*p - 4971 - 7356. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82170 and 410850?\nAnswer: 410850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**3 - 50*j**2 - 17*j + 6. What is f(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 1. Let v be o(-1). Let c(f) = f**3 + 8*f**2 + 10*f - 8. Let s be c(-6). Solve v = s*j - 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 3*x = -29, 0 = -t + x + x + 3. Let w = t + 7. Suppose -3*f - 5*b = -108, w = -4*f + 2*b - 0*b + 118. Is 31 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 5*p**2. Let x(k) = -k**2. Suppose -2*w - 4 = -y, -y = -4*w - 4 - 0. Let n(v) = y*d(v) - 4*x(v). What is the third derivative of n(t) wrt t?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20385 - -44?\nAnswer: -20341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven fifths of a millennium?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10.98366 + 0.01634. What is the closest to -1 in p, -1, -0.15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 1. Let d(y) = -y**2 + 5*y - 25. Let t(c) = d(c) + 5*k(c). Is t(6) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-7))\/(5*18\/(-630))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(486) + sqrt(486)*1 + (-2*sqrt(18))\/sqrt(3))\/(sqrt(10)\/(sqrt(5)*-3*-5)).\nAnswer: 240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10d020 (base 14) to base 16\nAnswer: -8c054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(21\/12)*-2. Suppose -6 - h = -4*l - 3*w, -l + w = 0. What is the tens digit of (25\/l)\/(9\/18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14378*h**2 + 268 - 7189*h**2 - 7186*h**2 to s*h**2 + p + c*h and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 6*u**2 + 5*u + 2. Let j be y(-3). Suppose -j*i + 141 = -13*i. What is the remainder when i is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 252622, 505480, 758338, 1011196, 1264054?\n\"Answer: 252858*m - 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 5*w**2 - 46*w - 19. Give b(6).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145082?\nAnswer: 2, 7, 43, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -13)*(-3 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/36)\/((-4)\/18). Suppose -s + u*s**2 + 1\/2 = 0. Calculate s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(375) + -3*sqrt(375))\/((-3*sqrt(45))\/sqrt(9)).\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/7)*u**(-7))\/(u**(-13)\/(u*u\/u**(-15))) assuming u is positive.\nAnswer: u**(160\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5790.81 * 0.8\nAnswer: 4632.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 2*h - 20 = 0. What is the units digit of 38\/h - 8\/(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 4:42 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -125001*k**2 - k. Let m = -56 + 55. Let a be p(m). What is a rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1893 is divided by 35.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4528920800.\nAnswer: 2, 5, 23, 101, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 9224*m - 79*m**2 + 9224*m in the form s*m**2 + k*m + g and give s.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/2 and (8274\/180)\/(-7) - 8\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0)**(-21\/5)\/(o**(1\/3))**(24\/7) assuming o is positive.\nAnswer: o**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 143908?\nAnswer: -28781.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 914086 to the power of 1\/2, to the nearest integer?\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*b - 21*b + 2*b**2)*(476*b - 21 - 4 - 478*b)*(26 - 31 - 31).\nAnswer: 144*b**3 + 1800*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000037721 rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2291 + -9297. Is 46\/(-14) + 14\/49 - w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 180*a**2 - 1263*a + 8609. What is b(-187)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-117)\/(-120) + 408\/(-1088) + (-276)\/10.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u**2 - 6*u + 54. Let z(i) = -1. Let m(s) = -w(s) - 3*z(s). Let b(k) = 11*k**2 + 10*k - 76. Let h(t) = 5*b(t) - 7*m(t). Differentiate h(y) wrt y.\nAnswer: 12*y + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6+-957.18\nAnswer: -963.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b + 10. Give r(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (11 - (-21)\/(-2)) + (-293)\/306 and -56\/85.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 1021?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/32)\/((-1)\/(-6)). Let u = 19407\/5 + -3904. Let v = 23 + u. Put m, v, -3\/4 in ascending order.\nAnswer: -3\/4, m, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1973, -0.01, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*b**2 + 4664*b + 9702 - 9293*b + 6435*b + 2*b**3 = 0 for b.\nAnswer: -21, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23\/4 + 6. Let q(l) = 5*l**2 - 2*l**2 - 4*l + 1 + 0*l**3 + l**3. Let s be q(-4). Is s at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 170*o**2 - 28*o. Let p(v) = 5151*v. Determine a(p(g)).\nAnswer: 4510576170*g**2 - 144228*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 169616531 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, e: 3, u: 6, h: 7}. Give prob of sequence ue.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 252234171 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 2*l**2 + 5*l**2)*(2 - 2234*l + 1314*l + 1153*l).\nAnswer: 233*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 21773415862 and -193.\nAnswer: 21773415669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - -35. What is the remainder when (39\/6)\/(66\/(-36) - -2) is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 + 2*a - 4. Suppose 0 = -k + 3 + 1. Let w be ((-6)\/k)\/((-1)\/(-2)). What is the units digit of z(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - 5726\nAnswer: -5744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2016 + 0.07068. Let u = 0.73 + -0.6. Let j = u + v. Round j to 4 decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 812\/(-13224)*(-120)\/(-70)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -355 (base 15) to base 9\nAnswer: -1028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**5 - 2*p. Let f(d) = -64*d**5 + 46*d. Let x(y) = f(y) - 5*v(y). What is the second derivative of x(l) wrt l?\nAnswer: -1180*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -27349 (b) 14.79 (c) -0.1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 - 3*c**2 - c + 5. Suppose 3*m - 4 = 2*m. Let a be t(m). Let q be (-7 + -3)\/(0 + -2). Solve 4*z + a = q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*h - 8, 0 = 7*h - 8*h + 2*x - 6. Let p be (h\/(-2))\/(380\/(-40)). What is the closest to -0.2 in -5, p, -2\/3, 1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1193 + 1194. Solve -5*n + 9 = -q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 1 + 1)*(1 + b - b + b) + 88*b + 20*b**2 - 88*b.\nAnswer: 21*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**4 - l**2 - 1. Let z(n) = -8*n**4 + 56*n**3 + 228*n**2 + 200*n - 512. Let b(h) = -12*r(h) + z(h). Solve b(c) = 0 for c.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, e: 2}. Give prob of sequence je.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*j - 56*j + 284*j**3 - 560*j**3 - 1574*j + 275*j**3.\nAnswer: -j**3 - 1737*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 6 = 4*t. Suppose -4*b = l - 488, 0 = -t*l - 3*l - 20. What are the prime factors of b?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163563.\nAnswer: 3, 54521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -142 - -141.596. Let n = r + 0.004. Sort -1\/3, 2\/7, -0.3, n in increasing order.\nAnswer: n, -1\/3, -0.3, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-24)*(53 + -39).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 5*x - 5*r, -3*x - r - r = 32. Let n be 2*(-3)\/x*12. Suppose 3*q = -b - 10, 57*q + 26 = 5*b + 53*q. Solve b*c - n = -c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + f - 305 = 400, -5*q + 5*f = -705. Let v = q + -1017\/7. What is the common denominator of -23\/28 and v?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n - 3 + 3)*(-27 + 8 + 13) as y*n + b and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (317\/(-4))\/(11\/(-44)). Find the first derivative of s + 15*n - n - 330 wrt n.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 11 = -d + 2*d, -4*w + 10 = d. Let f be (d\/9)\/((-14)\/(-21)). Solve 4*j + 0 = 5*m - 13, -f = 2*j + 3*m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 4 - 8*c - 4. Let m(w) = w - 3. Suppose -3*n - 12 = 2*x, -n - 4*n - 16 = 2*x. Let a(q) = -1. Let k(j) = x*a(j) + m(j). Determine k(r(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 4. Let l be b(-2). Let v be 0 + -2 - (l + (12 - 4)). Sort 6, v, 5, -1 in descending order.\nAnswer: 6, 5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5\/6 - 1\/2. Let p be (-13 - -9)\/(4 + 10). Which is the fourth biggest value? (a) p (b) 3 (c) -0.3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 + -36. What is the greatest common factor of f and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 465, 321, 87, -231, -627, -1095, -1629, -2223?\n\"Answer: l**3 - 51*l**2 + 2*l + 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f. Let o be v(-1). Suppose 7 + o = 2*l - 2*i, i + 26 = 4*l. Calculate the remainder when l is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -3, 0.5, 1, -28?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -8*a**3 + 28*a**2 + 8*a - 4. Determine o(4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 2*c - 18. Let n = c + 8. Suppose -n*h = 3*w - 17, -4 + 0 = -4*w + 2*h. Calculate the smallest common multiple of 5 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/378*(-207)\/391.\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/20 of a millennium?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -0*u - 16. Suppose -2*d - 16 = -4*o, -o + u*d = -0 - 4. Solve -2*k - 12 = 2*z, 2*z - k = k - o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/4 - (-69)\/(-12). Let s(b) be the first derivative of -5*b**2\/2 + 1. Let c = -5 + 0. Let g(h) = 4*h. Calculate c*s(a) + z*g(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 0) + (-42 - -47).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 774695442?\nAnswer: 2, 3, 1201, 107507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2*q - 387. Let i = q + 139. Solve 16 = -4*f, -c + 4*f + i = -4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5\/1379 + 130925\/22064. Calculate the common denominator of 7\/8 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/190, 7\/8, 0.4, -412\/3 in increasing order.\nAnswer: -412\/3, -1, -1\/190, 0.4, 7\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3713, 371, -2971?\n\"Answer: -3342*q + 7055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + 2*g**2 + 226*g - 226*g to the form x + o*g**2 + w*g and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f + 10 - 75 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 7.997. Round a to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 465 and 915?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + 0*j**3 - 5*j**3)*(2789*j**2 - 543*j**2 + 2776*j**2).\nAnswer: -15066*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 274 + -93. Suppose y + 4*l = 69, -p = -5*y - 4*l + 100. What is the remainder when y is divided by ((-11)\/(-4))\/((-2)\/(-8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/270679 and -5\/3.\nAnswer: 812037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3 + -0.1. Let d be (1\/(-15))\/(-6 - (-114)\/18). Let k = 0.2 - 0.1. Which is the third smallest value? (a) k (b) d (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxz when three letters picked without replacement from zzzxzzzpzzz?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*r + 25. Suppose -3*s + 2*m = -11, -r*s + 0*m = m - 40. Let b = s - 0. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101011 + 1100001111?\nAnswer: 10000111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*q + 365*q + 4 - 3 + 12*q**2 + 8.\nAnswer: 12*q**2 + 442*q + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5 = p, -5*i - 23 = -3*p - 10*i. Factor 37*l - 1 - 4 - p - 3*l**4 + 15*l**3 - 27*l**2 - 16*l.\nAnswer: -3*(l - 2)*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -8, 89.\nAnswer: -8, 42, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7150 + -7122. Solve 4*h - 22 = 2*x, -5*h + x = -i + 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3356*t - 1443*t + 154953 for t.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1, 161, -2\/17, -5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57 + 41 - 98 + 4*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - 95*u - 377. Determine t(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 + 59. Let v = k + -18.00066. Round v to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -102791146*c - 11951260?\nAnswer: -102791146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*r**3 + 30*r**3 - 17*r**3.\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 24 = -4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29593 divided by -29593?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111111 + 100101001?\nAnswer: 1100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 362*q + 483*q - 43372 + 7882 for q.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + (sqrt(500) - (1 + -2*sqrt(500)) - ((sqrt(500) + 1)*4 + sqrt(500))) + sqrt(500) + 1 + sqrt(500) + 0 + -3))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309 - 548 = -1177*o + 496 - 176 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3278086 is divided by 2999.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 152.356kg?\nAnswer: 0.152356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5063*h + 2122. What are the prime factors of r(-4)?\nAnswer: 2, 3, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -9486*(-7 - -9) - 8. Round p to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 29 = 15. Let r be 1\/(2*(-3)\/30). Let o = r + 7. What is the highest common divisor of g and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2731 + 21821\/8. What is the common denominator of (-428)\/(-40)*(1 - 0) and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 - 3*d**2 + 188 + 3*d**2 - 6*d**2 + 6*d**2 as b*d + j*d**2 + c and give c.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from omoomoooooom. What is prob of picking 2 o and 1 m?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3863 divide 108380328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -224, 15, -5 in increasing order.\nAnswer: -224, -5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -35 in -451, -1\/5, 4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1156 = -8*y + 18804. What is the hundreds digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 0. Let p be (-945)\/(-270)*(-6)\/(-7). Sort p, 1, 2, g in ascending order.\nAnswer: g, 1, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -47*r - 10. What is d(-3)?\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 324*h**2 - 14*h + 10. Let y be i(7). Let f = y + -7667. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1637*v + 486*v + 1046*v - 561*v)*(2 - 1 + 4) as u + p*v and give p.\nAnswer: 13040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392*p - 2613*p - 209*p.\nAnswer: -2430*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3430257*z - 71 + 71.\nAnswer: 3430257*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1a203 - -d?\nAnswer: 1a212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -24*k**2 - 90*k. Let r(g) be the first derivative of g**2\/2 - 4020. Calculate r(q(a)).\nAnswer: -24*a**2 - 90*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 90313 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*o - 45*o = -72*o + 1010 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000183168 rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s + 24. Let u be f(10). Let a(g) = -69 + 5*g + 60 + 3*g - 2*g - 7*g. Calculate a(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.1 (b) 0.06 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7456*r**3 - r**2 + r - 1. Let o be x(1). What is the units digit of o\/39 + (-18)\/117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 11:20 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - p + 57 = 3*g, -4*g - 5*p + 45 = 0. Let i = 52 - 53. Which is the nearest to -0.1? (a) -5 (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 5:18 PM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 38 = -1. What is the remainder when 115 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -695?\nAnswer: -3\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2133105*d*q**2 + 113*d*q + d + 74*q**2 - 3*q - 3164 wrt q?\nAnswer: 4266210*d + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 4*m - 6*m - 6*m - 3 + 3 - 4*m + 4*m - m + (-4*m + 2*m + m)*(2 - 1 + 0))*(-5*m**3 - 2*m**3 + 0*m**3).\nAnswer: 70*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*p + 2*p. Suppose -p*r + 275 = -3*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1288 - 388 = 12*g. Calculate the remainder when g is divided by 52.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/5387854 or 1?\nAnswer: 9\/5387854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -22. Solve d*m = 8*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 7*h**2 - 9*h - 14. Let l be c(-6). Solve 4*a = -d + 10, -2*d - l*a - 2 = -7*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 0.61514, -4\/11, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(52))\/(-4*sqrt(484) - sqrt(4)).\nAnswer: -2*sqrt(13)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1 + 0 - 4*r + 3*r. Let n(v) = -9*v**2 + 314*v - 25. Let g(x) = x**2 - 37*x + 3. Let z(i) = 51*g(i) + 6*n(i). Give -3*p(f) + z(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + p + 203. Let o be l(0). Suppose -y + o - 67 = 0. What is the highest common divisor of y and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 - (-8)\/2)\/(1\/(-9)). Let f be h\/6*(-22)\/(-6) + 3. Suppose l + 0*q + 23 = 5*q, 3*l = -5*q + 11. Which is smaller: f or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 319 - 313. Suppose 0 = k - 3. What is the lowest common multiple of j and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.046 (b) -2 (c) 18408\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -10*f**2 - 7*f - 4. Let b(x) = -3 - x + 6*x + 7 + 7*x**2 - 1. Let l(c) = -7*b(c) - 5*i(c). What is l(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 2 (b) 6 (c) -0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -194 + 62. Let d = 1719.76 - 1855. Let l = d - m. What is l rounded to one decimal place?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22 times -23540?\nAnswer: -5178.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -21*y**5\/20 + 843*y**4\/8 - 572*y**3 + 228*y**2 + 3543. Let j(v) = 0. Calculate v.\nAnswer: 0, 2\/7, 4, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -698\/3 in -0.2, -6, 1.8, -0.07?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**3 + t**2 - 4. Let f(b) = -1. Calculate 4*f(n) - 2*q(n).\nAnswer: 4*n**3 - 2*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - -17. List the prime factors of (154\/u)\/(0 - 2\/(-68)).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uppiifiiipcx. Give prob of sequence fiii.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 17*h - 4. Let q(w) = 41*w - 11. Let i(x) = 5*p(x) - 2*q(x). Give i(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1270606 (base 8) in base 10?\nAnswer: -356742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20572672*g**2 - 112036*g - 53 wrt g?\nAnswer: -41145344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**3\/6 - 119*g**2. Let t(b) be the first derivative of b**2\/2 + b + 1. Suppose -a = -2*a - 2. What is a*k(r) - t(r)?\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4413.466mg in tonnes?\nAnswer: 0.000004413466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/360*8)\/(-1)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3655967533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.208 and 0.941589885807.\nAnswer: 0.733589885807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 2\/15 (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -10*r**2 - r. Suppose 10 = h + 4*j, j = h - 0*j - 20. Suppose 4*n - n + h = 2*t, -8 = -4*t - n. Suppose -t = 4*q + 1. Calculate k(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 8. Let z = m + -6. Suppose 0 = q - 2*q - 2. Sort q, 1\/7, z in descending order.\nAnswer: z, 1\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y**2 + 35*y - 7. Calculate the remainder when r(8) is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/5 + 6536\/3010.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4995\/7636 + 57\/83. Let y = o + -217\/1012. Let r = 40\/9 + -316\/63. Which is the closest to 3\/2? (a) -2\/13 (b) y (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from {m: 2, d: 5, u: 1, i: 2, w: 1, j: 2}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -4, -0.02, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 3. Let f(n) = -2*n - 3. What is 3*f(i) - 4*v(i)?\nAnswer: -2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = p - 5*g + 7, -p - g + 3 = 0. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0016480175 rounded to five decimal places?\nAnswer: -0.00165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, -29 in decreasing order.\nAnswer: 2, 0, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 2811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 6:31 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxjb when four letters picked without replacement from xxxjbxbbqx.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.9 - -1.1. Let t = f - -2. Let b = -9.2 - -9. What is the nearest to b in 0.2, t, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -13, -4, 17 in decreasing order.\nAnswer: 17, 5, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1143 - -5?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 23. Suppose -k*y + 6 = 3*o, -5*y + y - 5*o + 10 = 0. Solve -5*u - 30 = -y*m - 2*m, -4*m + 4*u + 36 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 8:09 AM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -12*d + 31. Let g(q) = -q. Let m be g(6). Let w be f(m). Suppose -4*c = -4*x + c + w, -4*c - 108 = -4*x. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-266)\/63 - -4 - (-29)\/9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -8*i + 26. Let a(o) = -12*o + 39. Let q(k) = 5*a(k) - 8*w(k). Let u(r) = r - 3. Give 4*q(p) - 18*u(p).\nAnswer: -2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -415*b**3 + 3*b**2 - 159*b + 575287499 wrt b?\nAnswer: -1245*b**2 + 6*b - 159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1245 divided by -83\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -118590 and -118567 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/3264 and -111\/93296?\nAnswer: 1119552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**6\/135 - f**5\/90 - f**4\/18 + f**3\/27 + 2*f**2\/9 - 74*f. Solve k(j) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*q - 0*i + 5, q = -i - 5. Let k be (-1 - q) + -5 + 6. Suppose -4*b - 4*s = -60, -4*b + s + 32 + 3 = k. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2880 is divided by 107.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -481976 divided by -88\nAnswer: 5477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 129 - 483. Let p = x - -2482\/7. Factor -2\/7 - p*s - 2\/7*s**2.\nAnswer: -2*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/17 and -29\/36.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-15))\/((-22)\/(-440))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilometer in meters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-188*g - 560 + 560)*(1 - 2 + 2) + (-g - 3*g + 2*g)*(4 - 17 - 13) to the form q*g + n and give q.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*f - 3. Let b(r) = r**3 - r**2 - 2*r - 4. What is the units digit of b(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21374 (base 8) to base 7\nAnswer: -35053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*q = 1660 - 106, -d - 3*q = -773. Suppose 70 = -2*j + d. Suppose -j - 111 = -4*k. Is 30 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 11\/(1\/((-1)\/9)). Which is bigger: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441*y = 439*y + 400. Let w = 238 - 163. What is the greatest common divisor of w and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.059142 - 28976\nAnswer: -28976.059142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 172344 and 1118.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-4) + (57293\/(-506))\/47.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of 1342*d**4 + 1281*d + 3176. What is the first derivative of f(p) wrt p?\nAnswer: 16104*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.061396 + 1?\nAnswer: 11.061396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -40858*s - 1303. Is y(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -122*c = 254*c + 3008 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v**2 + 145*v + 145. Let r be l(37). Solve 18*i + 20 = -r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (129\/43)\/((-6)\/10). Let c be 6\/15 + ((-4608)\/w)\/6. Calculate the greatest common divisor of c and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 12:30 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.6 + 1.5. Round k to zero decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h - 7. Let z be (-19)\/4 - (-1)\/(-4). Let c be q(z). Let v(x) = 2*x**2 - 3*x + 1. What are the prime factors of v(c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 7 - 11. Suppose 4*s = j*p - 324, -2*s = p + 3*s - 134. Does 22 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (0 - -2) + (0 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 h when two letters picked without replacement from crrrnkrrrrrrkrrrrchr.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 8, 4*b + 2 - 3 = 5*q. Let z(o) = 3*o**3 - 2*o**2 - 8*o + 3. Is 42 a factor of z(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 4*n + 7 - 2, -l - 3*n + 6 = 0. Suppose -4*c + l*c + 9 = 2*q, 2*c - 3*q = 4. Solve p - 12 = c*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50349 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: Let l(w) = -w**2 - 5*w + 5. Let m be (-33)\/(-44)*(-16)\/(-6). Let t be (-4)\/(-6)*(-6)\/m. Let f = -6 - t. Calculate l(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a. Let b(g) = -g. Let v(f) = -2*f**2 + 12*f. Let l(q) = -5*b(q) - v(q). Give l(j(i)).\nAnswer: 2*i**2 - 7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 + 4*r - 2. Let a = -21 - -23. Calculate f(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*j + 20 + 9, 3*j = -3. Suppose 0 = z*k - 2*q - 38, q + 7 = 3. Let h(a) = -8*a + 1 + 7*a**2 + 3*a - 6*a**2. Give h(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 812*u**2 - 219*u**2 + 74*u**2.\nAnswer: 667*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -273, -927, -2019, -3549?\nAnswer: -5517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*s - 191 = 2*a, 0 = -2*a - 2*s - 186. Suppose 2*z = -3 - 5. What is the tens digit of -5 - z - a - 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15751 <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/6012 and 28\/11523?\nAnswer: 138276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/2 + 84*y + 1176.\nAnswer: 3*(y + 28)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 507.9 rounded to the nearest ten?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44239\/9 or -4914?\nAnswer: -44239\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -455879.223 and -128.9.\nAnswer: -456008.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1155 and 3220.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 2*c**4 - 94*c**3 - 94*c**3 - 12 + 187*c**3 - 2*c + 8*c**2 - 6*c**2 in the form a*c**3 + w*c**2 + l + d*c**4 + i*c and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13096 + 13091. Which is the closest to -7? (a) 2\/5 (b) -3 (c) 26 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1647 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*j - 2*a = -90, 0 = -2*j + 2*a + 22. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9207, -73793, -249093, -590463, -1153259, -1992837, -3164553, -4723763?\n\"Answer: -9226*w**3 - w**2 - w + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 3*f**2 + 8. Determine a(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -3191*r + 3186*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -24*o + 3. Let h(i) = 20*i**2. Calculate h(k(c)).\nAnswer: 11520*c**2 - 2880*c + 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2778700\/2035467 + -2\/32309. Find the common denominator of 149\/4452 and c.\nAnswer: 13356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18600 is divided by 9232.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**3 + 37*g**2 - 13*g - 93. Let s be p(18). Sort s, 228, 0 in increasing order.\nAnswer: s, 0, 228","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -347*c - 2078. Calculate z(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/12325685?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5686871.0437 + -5687121. Let z = 0.0437 - o. Let p = 230.7 - z. What is p rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 706269208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2387 + -2322. What are the prime factors of s?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -421194 divided by 3\nAnswer: -140398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -6)\/((-6)\/16). Solve k*z + 15*z**2 - 20*z**4 - 10*z**3 - 18*z**3 + 0*z**3 + 17*z**2 = 0.\nAnswer: -2, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((-45)\/5714) + (-2)\/(-10). Let o = v - 381. Which is the smallest value? (a) 0.3 (b) -4 (c) o (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 854795?\nAnswer: 5, 23, 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fk when two letters picked without replacement from {k: 2, f: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*z + 5121 = -121*z - 125 - 565 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28821701 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/5)\/(328\/(-80) + 4). What is the third biggest value in 0, -2.7, -5, 0.5, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y + 2. Let l be v(3). Suppose 0 = -3*b + l + 1. Let f(c) be the second derivative of c**3\/6 - 5*c**2 - 5*c. Calculate f(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**3 + x + 2. Let p(z) = -18*z**3 + 3*z**2 + 11*z + 14. Determine p(i) - 7*w(i).\nAnswer: -4*i**3 + 3*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 2*y + 6, -p - 29 = -6*p - 2*y. Suppose j + 0*j - 6 = -k, 3*j + 22 = p*k. Suppose k*c - 469 = 4*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4014*x**2 + 2787 wrt x.\nAnswer: 8028*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39292 + -7649. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550933020197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -365527\/1698 or -215?\nAnswer: -365527\/1698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -87073, 0.07.\nAnswer: -87073, 0.07, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28886\/(-1313))\/((1 - 0) + (-90)\/(-36) + -3)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.8 and -290.7809662785.\nAnswer: -289.9809662785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**4\/13 - 22*k**3\/13 + 6*k**2\/13 + 70*k\/13 + 44\/13 = 0. What is k?\nAnswer: -11, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (80\/(-18))\/(-2) - 2. Let q = 17362.1 - 17362. Which is the closest to q? (a) r (b) -14 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5716234 or -5716235?\nAnswer: -5716234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*w - 2*j + 13 = 0, 4*j = 3*w - 69. Suppose -w*g + 3 = -16*g. What is the remainder when 32 - 1\/(g\/(-2)) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 90*i**2 + 177*i - 205. Determine l(-92).\nAnswer: 439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28251?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1\/28 (b) -1\/11 (c) 5 (d) 23 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**5\/6 + 4*p**2 + 200. Let z be (-1 + -2)*(0 + -1). Let r(d) = -d - 2*d + z*d + 3*d. What is g(r(y))?\nAnswer: -90*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2 + 2)*(-2 + 0 + 4)*(2*c + 69 - 69)*(c**3 + c**3 + 0*c**3).\nAnswer: 8*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 + 0.855768.\nAnswer: -5.144232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3840 - -4.032\nAnswer: 3844.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12818*c**3*x - c**3 - 132*c**2*x**2 - 18*c**2 + c - 2956 with respect to x.\nAnswer: -12818*c**3 - 264*c**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 - (40 + -27) - -93?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2936092765 to the nearest integer?\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + p + 73 = -49, -2*p = g - 36. Suppose 176*n = 1466*n - 30960. Calculate the least common multiple of g and n.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g*j**2 - 125*g - 24*j**2 with respect to j.\nAnswer: 2*g*j - 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*y + 8*y = -8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -157 + 78. Suppose 143 = -4*a + 4*n - 65, 3*a + 160 = n. Let c = a - b. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -23*t**5\/7 + 178809*t**4\/7 + 357687*t**3\/7 + 178855*t**2\/7 = 0.\nAnswer: -1, 0, 178855\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 9*u + 7. Let d be y(6). Suppose -4*n + 3 = -d. Suppose -3*z = 2*c - 1, -5*c - 3*z = -0*z - n. Calculate the remainder when c is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -7*v**2 - v - 1. What is r(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-30)\/y))**(1\/20)*y**(6\/19)*y**(-6\/11) assuming y is positive.\nAnswer: y**(5519\/4180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3957093?\nAnswer: 3, 7, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 33*q = 5460. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*c**4 + 21*c**4 - 28*c**4)*(1 - 6 - 3)*(2 + 0 - 9)*(-2 + 0 + 4)*(0 + 3 - 2) as w*c + r*c**2 + f*c**3 + s + u*c**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = u + 12, -28 = -8*m + 6*m - 5*u. Let y = -1 + 1. Suppose y = m*i + i - 3395. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3245314 to the power of 1\/2, to the nearest integer?\nAnswer: 1801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 51128*y + 357904. What is l(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 311464?\nAnswer: -1\/77866","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a = -241 + 25 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 - -253. Suppose w = 6*l - 435. List the prime factors of l.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from {e: 1, p: 2, c: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-10))\/(52\/130)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67570 is divided by 494.\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 586298891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*o*w**3 - 4*o + 263733*w**3 + 207672*w**2 wrt w.\nAnswer: -66*o + 1582398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -653*j**4 - j**3 - 991*j**2 - j - 1. Let c(x) = x**3 + 2*x**2 + x + 1. Let i(s) = -c(s) - d(s). Find the third derivative of i(b) wrt b.\nAnswer: 15672*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = -7*w + 49 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*v - 14588 = 186*v + 421*v for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 35 + 2?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-7 - -3 - -8 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 990 and 419100.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4)*(-2 + 2). Let j(f) = -4*f + 16. Let b(q) = -q - 1. Let x(g) = -5*b(g) + j(g). Calculate the remainder when 61 is divided by x(a).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*j**3 - 3439*j**2 + 17222*j + 1?\nAnswer: -48*j - 6878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of -t**5\/80 - t**4\/16 - t**3\/12 - 65*t + 2. Suppose k(o) = 0. Calculate o.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3192*c**2 - c**4 + 6*c + 2622*c**2 - 67*c**3 - 6*c.\nAnswer: -c**2*(c + 10)*(c + 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 29 - 12 - 3\/(-1). What is the second derivative of 4312*m - 47*m**5 + x*m**5 - 4414*m wrt m?\nAnswer: -540*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5370 less than -0.02?\nAnswer: -5370.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*o + 16*o - 4*b, 4*b = -4*o + 4. Sort 38, o, -1, 1 in ascending order.\nAnswer: -1, 1, o, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.4497 + 0.5503. Which is bigger: w or 10.7?\nAnswer: 10.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -11*(-6)\/176 + 89274\/16?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*z - 7*z. Suppose -z*m = -23 + 18. Suppose c = 91 - m. Is c a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2384.3 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.31*-117812.\nAnswer: -154333.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from {h: 10, d: 10}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20017091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9303, -10023, -10743?\nAnswer: -11463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*c*y**3 + c*y**2 - 3*c*y - 132812*y**3 - 1512336*y wrt y?\nAnswer: 228*c - 796872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35 + 26 - -6) + (-6 - 27)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20229285 divided by -20229285?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n + 20. Let i(u) be the third derivative of -u**4\/4 - 96*u**2 - 2. What is i(d(r))?\nAnswer: -24*r - 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3260 and 695.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (829 - 839) + 1 + 0 + 12 + -8 + -7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvveveuuhuvvv. Give prob of picking 1 u and 1 e.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -11*c**2 + 4*c + 37. Let g(j) = -9*j**2 + 4*j + 38. What is 5*g(p) - 4*t(p)?\nAnswer: -p**2 + 4*p + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*r - 309*r = 63*r - 18937755. List the prime factors of r.\nAnswer: 5, 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 34*d + 492. Let m be s(-14). Which is smaller: 86\/5 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8)\/18*(-261)\/72 and (-122)\/44 - (-1 - -1).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2255 (base 12) to base 2\nAnswer: -111011100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o - 3*o - 6*o - 28 = 0. Solve i = -0*i - o for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 25?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 147280600.\nAnswer: 73640300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-483)\/42*(2 + 0). Let w = o + 25. Suppose -2*d + d = 5*c - 1084, w*c - 5*d = 439. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*f + 710*d = 717*d - 113, 18 = 5*f + 2*d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) - (2*sqrt(432) - sqrt(432)) - sqrt(432) - sqrt(432)) + -3 + 0.\nAnswer: -24*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125 divided by -101.\nAnswer: -125\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 - 2. Let r(f) = -f**2. Let k(t) = a(t) + 3*r(t). Let y(n) be the first derivative of k(n). Let x(p) = -5 - 6*p + 3 + 2. What is x(y(o))?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27158331.\nAnswer: 3, 23, 109, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*t**2 + 615498 - t - 2*t - 615498 + 3*t.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2627 + -2627.001369. What is r rounded to four decimal places?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - 4*w + 2. Let c be a(2). Let y = -13916\/5 + 2755. Let g = y + 28. Is g != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 0.4 (b) 4\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 0.2 (c) -3 (d) 1031\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -4*m**3 - 16*m**2 - 24*m - 40. Determine j(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*j - 332 = l, 0 = 4*l + j - 330. Calculate the remainder when l is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210222200102 - -11?\nAnswer: 210222200120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 171063 and 6641?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v. Let z(q) be the third derivative of -23*q**4\/12 + 152*q**2. What is s(z(g))?\nAnswer: -184*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 0*n + 9*n**2 + 0*n**4 + 0*n**3 - 11\/5*n**5 - 21. What is the second derivative of t(x) wrt x?\nAnswer: -132*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.096 - 39532.\nAnswer: -39528.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + l = 0. What is the common denominator of (-1)\/15*2 + 3486\/(-280) and (-11)\/(-18)*(l - 3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.6437 - 1138059.\nAnswer: -1138049.3563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3860, 15913, 36002, 64127?\nAnswer: 100288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5244539\/10052292 + -9\/44089. Find the common denominator of g and -131\/342.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b + 8. Let q be f(-5). Let x = -1.2 - -3.3. Let o = x + -2.1. Put 4, q, o, -0.13 in descending order.\nAnswer: 4, q, o, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*r - 3*r + 12, 4*k - 4*r = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -354 - -353.6. Put n, -0.3, -65 in descending order.\nAnswer: -0.3, n, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0.1434 (c) 2\/9 (d) -0.14 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*sqrt(2178) + sqrt(2178))**2 + (sqrt(150)*-2 - sqrt(6))\/((1*sqrt(36))\/sqrt(12)).\nAnswer: 517*sqrt(2) + 34852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16971 or 21832?\nAnswer: 21832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-125)\/(-20))\/((-1)\/(4 + -8)). Solve 11*x - s*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29\/6 + 25\/6. What is the nearest to -1 in 7, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3480.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -3, 1\/11, -2, -26, 11\/12, 4?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 6.495?\nAnswer: -19.485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1292.95 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a micrometer in nanometers?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 63\/69 - (-88)\/1012. Solve j = l - 55 + 63 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -20 - -a?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1992735.\nAnswer: 3, 5, 29, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**3 - 3 + g**2 - 4*g**2 - 2*g + g. Let v(h) = -56*h + 171. Let w be v(3). What are the prime factors of o(w)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -2, -3, -653 in increasing order.\nAnswer: -653, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 2*r + 55, 90 - 9 = 4*z - 5*r. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.06 (b) -3\/8 (c) -1.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 1. Let x(l) = -99*l - 9. Let g(w) = 36*o(w) + x(w). What are the prime factors of g(-4)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/24 and (-2)\/(-3)*1651\/(-52).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -2\/5, -1\/151?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 1, 11, 25, 43?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(15)\/sqrt(180)).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooc when four letters picked without replacement from {c: 1, o: 19}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 - -35. Suppose -3*j = -3, 2*s - 2 = -2*j - n*j. Suppose -10 = -4*d - 0*d - i, -2*d + 2*i + 10 = s. Solve d*g = -8 - 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 260, 319, 466, 743, 1192?\n\"Answer: 7*i**3 + 2*i**2 + 4*i + 247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -2\/71117?\nAnswer: -2\/71117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -185 - -553\/3. Which is the second smallest value? (a) g (b) 3\/2 (c) -5 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -2*c + 4*c. Suppose -4*n + 60 = 2*o, -5*n = -2*n + 5*o - c. What is the highest common factor of n and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61901.7373 rounded to the nearest integer?\nAnswer: 61902","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-24)\/(-10) + -2)*5. Find the second derivative of -49*t**i - 28*t - 1 - 43*t**2 + 3 + 62*t**2 wrt t.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**6\/80 - 3*o**5\/20 - 2*o**2 + 27. Let x(j) = 0. Calculate j.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/2 - (6 + 759\/(-114)). Sort -1, -2\/9, o in increasing order.\nAnswer: -1, -2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 2097062?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3091 + -942. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158*f = 997 + 1215 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 + w + 33 + (1 - 1 + 3)*(1 - 1 + 2*w) - 3 + 3 + w - 69*w - 17*w + 4*w as y*w + p and give y.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 10 = 5*u, 5*u + 5*q - 12 = 18. Let g be 7 - (-3 - -9)\/3. Suppose -4*o = -4*i - 36, -3*o - g*i + 51 = -0*o. Solve 2*n + o = -u*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 - 7*w**2 + 40*w**2 - 12*w**2 - 12*w**2.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -3*f**2\/2 + 5*f - 18. Give y(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-4 - (1 - (9 - 4))) + 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 158, 287, 396, 479, 530?\n\"Answer: -o**3 - 4*o**2 + 148*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 5*h = 10, 0 = -5*c + 3*h - 5*h - 4. Is c not equal to 1\/442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p + 2. Let l be z(0). What is the derivative of -196*m**4 + l + 197*m**4 - 32 + 21*m wrt m?\nAnswer: 4*m**3 + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 5*a**3 - 8*a + 1. Suppose 13*d + 22391 = 22404. Let x(h) = h**3 - 1. Determine d*r(z) - 4*x(z).\nAnswer: z**3 - 8*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 0 - 101*q - 2*q**2 - 1\/6*q**3. Determine z(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2*f - 17 = m, m + 47 = -4*f. Let j be (-2)\/8 - m\/12. Solve -4*g + 16 = -2*k - j*k, -3*g - 3*k = 18 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 982228 and 680004.\nAnswer: 8840052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32655 and 1911?\nAnswer: 2971605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {z: 5, e: 1, k: 3, m: 11}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/2)\/1*0. Suppose g = l - 0*l - 5. Suppose l*k = -3427509 + 23927509. What is k rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34321 (base 6) to base 8.\nAnswer: 11411","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*o + 21*o. Suppose o*b - 4 = -2*b. Let 0 + 3\/5*n + 3\/5*n**b = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**3 - 122*s**2 - 117*s + 196. Let x be l(-60). Solve -x*f + 242 = 354 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 512?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 3*u - 1. Let v = 46 + -32. Suppose -g - g = -v. Is 11 a factor of f(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -633626 at most -633627?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -184*b - 6. Calculate the remainder when f(-1) is divided by 71.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 3*j**2 - 28.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6, -576, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/2720 and 83\/4.\nAnswer: 2720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-81)\/(-4) + 3\/(-12). Suppose 0 = -s - 4*w + g, 4*w - 8*w = 2*s - 24. Suppose 0 = m - s*m + 27. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from {q: 2, p: 7, w: 1, b: 4, n: 2, i: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, d: 1, j: 3, i: 3, v: 3}. What is prob of sequence vc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23685.\nAnswer: 3, 5, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.75 + -1.75112. What is z rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 - 0.9. Suppose -82*z + 73*z = 0. Suppose z = -4*f + 15 + 5. Which is the fourth biggest value? (a) q (b) 0.4 (c) -9 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/4*(-3 + 44\/12). Let m be (-2 + -5 - v - 1)\/(-1). Let d(x) = -x**2 + 10*x - 5. Calculate d(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 - -66. Suppose -4 = -y, f*c = 4*c + 2*y - 44. Solve c*h - 5*h = -20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**3 + 3*h**4 + 5*h - 9*h - h**2 + 4*h in the form t*h + d*h**3 + r*h**4 + g*h**2 + m and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, o: 1, f: 2, t: 2, l: 1, b: 2}. What is prob of picking 1 l, 1 c, and 1 t?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 + 2 = 5*c. What is the remainder when c is divided by 4\/(-8) - 22\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.717877 to one decimal place.\nAnswer: -42.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -785.25 + 1328. Round g to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (276\/(-115))\/((-2)\/5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3491 - 3479. What is the least common multiple of q and 568?\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 769*z**3 - 772*z**3 + 0*z + 4*z - 4*z.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 8:00 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 30 = -10 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 5. Suppose 0 = -2*f + 20 + a. Is 13 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27876311093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 4:11 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 8 = 23, -5*q - 5*c = -5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 (base 13) in base 2?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -855394 (base 10) to base 15\nAnswer: -11d6b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 706188.\nAnswer: 706188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, q: 1, i: 1, j: 3, z: 3, w: 4}. What is prob of sequence wiqc?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + f + 54 = -61, 286 = 5*j - 2*f. Let y be (1 - 15\/3) + 88. Suppose 4*v - 3*x - 29 = j, -4*v + 4*x = -y. Does 8 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(5\/8)\/(h\/(h\/(h*h**(2\/35)))) assuming h is positive.\nAnswer: h**(-121\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -b**7\/105 + 2*b**6\/15 - 13*b**5\/30 + b**4\/2 - 1036*b**2. Determine u so that l(u) = 0.\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 - 7*j**2 + 24*j - 74. Let g be a(5). Suppose -l + 4 = -0*l. Put 5, g, l, 7 in increasing order.\nAnswer: g, l, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1306 - -10425\/8. Calculate the common denominator of c and 95\/136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 224*g**2 + 4*g + 6. What is the thousands digit of c(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w - 6. Let x be j(-6). Let f = -3 + x. Which is greater: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 8 = 0, 4*f + 3*h = -1 - 3. Let q(s) = -5*s**2 + 3*s - 11. Let m = -9 + 4. Let u(k) = 3*k**2 - 2*k + 7. Let x(w) = m*q(w) - 8*u(w). What is x(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11245695581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c - 96. Let a(j) = 4*j**2 + 3*j - 15. Let v be (-11 + -1)*8\/(-16). Let s(x) = 23*x**2 + 17*x - 85. Let n(w) = v*s(w) - 34*a(w). Give n(p(g)).\nAnswer: 8*g**2 - 768*g + 18432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 66 + -2 + 105 + -44 + -40\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 8:07 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/3 - 0\/9. Solve l = 20*v - 21*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1001284 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-4)\/18 + (-25)\/(-99)). Let b = -37 + u. Let j(o) = 4*o**2 + 10 - 13 + o - 3*o**2. Give j(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*c*u*y**2 + c*u + 34*c*y**2 + 5*u*y**2 - 5*u - 1 wrt c?\nAnswer: 3*u*y**2 + u + 34*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 5143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1230 and 18839?\nAnswer: -23171970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 227 and 0.16.\nAnswer: 227.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3255 and 2.\nAnswer: 6510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3636 or 3634?\nAnswer: 3634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 596.0731 decades in millennia?\nAnswer: 5.960731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 11:25 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (89120\/(-24))\/4. Let w = d + 928. Factor 0 - 8\/3*o**3 + 4\/3*o**2 - w*o**4 + 0*o.\nAnswer: -o**2*(o + 2)*(5*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/(-21) + 46\/6. Let j = -3 + l. Which is the closest to 0? (a) -0.2 (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssaaassasassaas. What is prob of picking 1 a and 3 s?\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*k**5\/7 - 477*k**4\/7 + 2592*k**3\/7 + 20364*k**2\/7 + 1728*k\/7 - 15552\/7 = 0. Calculate k.\nAnswer: -4, -1, 4\/5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 6:58 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18504588.\nAnswer: 2, 3, 37, 71, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0170272222 rounded to 5 dps?\nAnswer: -0.01703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 5*k**2 + 1337310*k + 4011885 = 0.\nAnswer: -267459, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13452 + -5?\nAnswer: -13457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*x**3 - 7*x**3 + 2 - x**5 + (2 - 2 + 7*x**3)*(-5*x + 5*x + 2*x**2).\nAnswer: 13*x**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 0*n**2 + n**2 - 5*n**2.\nAnswer: -4*n**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h + 25 = 11*h. Let o be (-68)\/h + 4\/10. Calculate the greatest common divisor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 0.0491.\nAnswer: 0.1964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-2 - 1) - (-1)\/(-1). Suppose 5*d - o = 78, d - 2*d + 30 = -5*o. Suppose -m - 4*g = 20, v*m + g - d = 4*g. Which is smaller: -3\/5 or m?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622828 is divided by 237?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1346 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -14*z**3. Let d be h(-2). Suppose -5*c + 455 = -4*n, 3*c - 4*c + d = -5*n. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202211010211 (base 3) to base 6.\nAnswer: 12441121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 8. Suppose -2*o = -2*v, 3*o + o + c = 5*v. What is the units digit of (-10)\/(-2) + 0\/v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/7 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 46. Let i = t - 49.00000041. Round i to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5 = 8. Let l be (6\/8)\/(m\/12). Let f = 549 - 546. Solve -l*h = -f + 18 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2211415, -4422831, -6634247, -8845663, -11057079, -13268495?\nAnswer: -15479911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.64 + -11.36. Put s, 3, -23 in decreasing order.\nAnswer: 3, s, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 3*o + 8. Let r be ((-4)\/4)\/(3\/12). Let z be a(r). Let k be 6*z\/(-8) + 157. Calculate the greatest common divisor of k and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - (sqrt(91) - sqrt(91)*-3)*1) + -2*(sqrt(91)*-1 + sqrt(91)) + sqrt(91))\/(1*1*sqrt(448)*5).\nAnswer: -sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 385*a. Let n(f) = 19*f. Give t(n(r)).\nAnswer: 361*r**2 - 7315*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6 + 1 + ((-871)\/(-44) - 17) and 29\/568?\nAnswer: 6248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4512385.3500101 - 4512387. Let m = -1.65 - f. What is m rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40562*q + 40589*q - 758 = -164 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.11 + -11.11. Let r be (-2)\/(-2) - (0 - 0). Which is the closest to 1? (a) r (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 16736060 and -0.05867.\nAnswer: 16736059.94133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 4*b + 6, -2*q - 2*b - 4 + 2 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*c + 439 = 0, z - 5*c - 101 = 28. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5194720 is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 120a93 + 4?\nAnswer: 120a97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2304)\/720)\/(3\/(-15))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, n: 6, z: 5, a: 1, g: 2}. Give prob of sequence zg.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**4\/4 - 12831*a**3\/2 - 77058*a**2 - 308328*a - 411168 = 0 for a.\nAnswer: -4, 8566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -125 + 2749\/22. Let j = 0.222 - -3.778. Sort j, z, -1\/8.\nAnswer: -1\/8, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(((u\/(u\/((u\/((u*u*u**(-1\/3))\/u))\/u)))\/u)\/u))\/u*u)**(3\/8)\/(u\/u**(-1))**(-1\/44))\/(u**(-4)*u\/u**(-2\/13))**(-14) assuming u is positive.\nAnswer: u**(-43959\/1144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(6\/5)\/(a**12\/a)*(a**4)**(41\/4) assuming a is positive.\nAnswer: a**(156\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {h: 3, t: 3, k: 2, n: 1, e: 2, s: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/6 (b) -5 (c) -2 (d) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12321 times -16\nAnswer: 197136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 8:37 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -1\/2, 3, -0.134, -0.64?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 3 + 2)*(7 - 2 - 3)*(-60*z - 58*z + 14 + 120*z)*(3*z**2 - 3*z**2 - 2*z**2).\nAnswer: -120*z**3 - 840*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q + 2. What is the units digit of g(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -604 + 4331. Is 3726 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5c9 (base 16) to base 13\nAnswer: 89c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 2*i + 82 = 0, 642058*h - 3*i - 113 = 642059*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**2\/11 + 64056*b\/11 + 512896392\/11 = 0.\nAnswer: -16014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1608, -2911, -4228, -5565, -6928, -8323?\n\"Answer: -l**3 - l**2 - 1293*l - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1057496 is divided by 352459.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3763*l + 4*l**2 - 3763*l.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/10 - (-220)\/25. Calculate the common denominator of (-2 - 10)*30\/i and -1 - 2 - (-18)\/(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-3))\/((o*(o**(1\/3)\/o)\/o)\/o))\/((o**(-14)\/o*o)\/o*o\/(o**(-7\/6)\/o)))**(-48) assuming o is positive.\nAnswer: o**(-840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11899973 divided by -27107?\nAnswer: -439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 + 31 + 16 + -34 + 10?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 773182.3 centimeters to millimeters.\nAnswer: 7731823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129, 131, 133?\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 2*d - 1. Let j be b(1). Suppose -j*y + 2*n - 4*n = -32, 3 = 3*n. Solve -8 + 3 = -u - 5*x, 3*u = x + y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -12 - (-45 - -69)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f = -65*f - 537733 + 537777. Suppose 4*o - 2 - 14 = 0. Sort -6, o, f in increasing order.\nAnswer: -6, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o. Let c be v(-4). Suppose 3*q = -q + c. Solve -6 = -q*z - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/(-8))\/(8\/96). Let n = a + 27. Is (n - 0) + (0 - 2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 6*h**2 + 5*h + 1. Let f be l(-5). Let x be 1\/(f\/(-500))*(-197600)\/13. Round x to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.452 - -423.548. Let v = r + -423.9999462. Round v to six dps.\nAnswer: 0.000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 + (-54)\/(-9))*51. Let p be n\/68*5708\/(-3). Round p to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1027.835 to zero decimal places.\nAnswer: -1028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3)\/i)**24 assuming i is positive.\nAnswer: i**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*k - 30 = 137*k - 1314. Solve -5*a = -r, -k*a + 8*a - 13 = 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 < 89\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*i - 3 = -7, -3*y + 2*i = -2. Let d be 6 - (y + 8\/(-4)). Let t(s) = s - 13*s + d*s + 5*s. Let r(m) = -m. Determine r(t(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 take away 367?\nAnswer: -368.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/66 and 13\/118878.\nAnswer: 1307658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/(q*q**(-18)*q)*q**20 assuming q is positive.\nAnswer: q**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -39, -9, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(2)*-1*-2.\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -9*u + 3. Let c be i(-7). Suppose -c = -3*t - 3*b, 0*b = -2*t + 3*b + 34. Suppose -3*m - m = 2*p - t, -4*p - 10 = -2*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n**2 - 6*n + 6. Let i(m) = -9*m**2 - 11*m + 11. Let k(v) = 6*i(v) - 11*l(v). Let t(q) = -q. Calculate t(k(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**2\/4 - 25*f - 17 = 0. Calculate f.\nAnswer: -2\/3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -232 and 198.806.\nAnswer: -46122.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -11 (c) 2\/13 (d) 2\/5 (e) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -229*j + 2175. Calculate v(9).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1\/5, -67, -11539, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 1. Let k(y) = 4*y + 4. Let n = 32 + -38. Suppose -4*z = z - 5. What is n*w(s) + z*k(s)?\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -122581, -120788, -118995, -117202, -115409?\n\"Answer: 1793*p - 124374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d - 4. Let z be h(-2). Let v = -93 + 162. Suppose 0*t + t + 5*f = 42, 0 = -3*t + z*f + v. What is the remainder when t is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 68 = -2*p, 2*p = 3*c - 57 + 3. Let m = p + 32. Solve -f - o - o = -6, -3*o + 11 = m*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -416*p**2 + 679*p**4 - 512*p**5 - 3 - 66*p - 1578*p**4 - 1216*p**3 - 637*p**4 - 1 = 0.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1674384 is divided by 1393.\nAnswer: 1391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 2 = -3*s. Suppose -5*a = 4*r + 10, -a = -6*a + r + s. Let g(h) = 12*h**2 - 10*h**2 - h**a. Let u(w) = 8*w. Give u(g(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdssddddsd. Give prob of sequence ssss.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 8 = 0, 34*a + 7 = 31*a + c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 a when two letters picked without replacement from {u: 1, t: 1, p: 1, a: 1, c: 9, r: 4}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -72, -1\/2, -0.52, 0, 9, 2\/5, -1?\nAnswer: -0.52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 1:34 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -5*t**2 - 4675430*t + 9350880 = 0.\nAnswer: -935088, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1872214 is divided by 38201.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27228 >= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -14 + 3*i**2 - 2*i**2 + 8*i + 4 + 0*i. What is the tens digit of h(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {y: 3, s: 3, p: 7, q: 6}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-nine thirds of a minute?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 113310 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12, -22, -46, -90, -160?\n\"Answer: -v**3 - v**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -36, -52 = -58562*m + 58563*m + 4*h for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1297.\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -363 divided by 11\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -2047693 < -2047699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -909 = 3*q - 3729. Suppose -3*f - 5*g = -410 - q, 0 = 4*f - 2*g - 1774. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -108351*m**4 - 76270 wrt m?\nAnswer: -433404*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/5)*t)**(-23) assuming t is positive.\nAnswer: t**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*b = 96*b - 2*c - 22, 3*b - 5*c = 13 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*h = -20532, h = -227*d + 229*d - 8214. What is the thousands digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + -4 + (-2)\/6. Let n = -0.2 + -0.3. Let q = 0.6 + -0.9. What is the nearest to w in 0.4, n, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -189 - 183\/2*t + 3\/2*t**2.\nAnswer: 3*(t - 63)*(t + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**35\/o))**(1\/18)*((o\/o**18)\/o*o)**(-42) assuming o is positive.\nAnswer: o**(4273\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d - 31. Let i be k(-6). Suppose i*p + 5*h - 4 = p, -5*p + 2*h = -38. Suppose -6*o + p = -96. What is the remainder when o is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25 - -a9121?\nAnswer: a9146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*w**3 + 1497*w - 1497*w)*(-4*w + 0*w + 5*w - w - 2*w + 4*w + (-3*w + w + 0*w)*(-4 + 3 + 3) + 3 - 3 - 2*w).\nAnswer: 192*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3095*n - 3542. Does 109 divide q(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**3\/2 - 4529*p**2\/2 - 2003659*p\/2 + 7946803389\/2 = 0.\nAnswer: -2779, 1029","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 3*v + 2*v)*(18 - 11 + 15)*(0 - 3 + 4)*(4*v + 1 - 3*v + 1).\nAnswer: -22*v**2 - 44*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*r + r - 20*r to b*r + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2070 is divided by 793?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 45390607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -1717*m**3 - 2776*m**2 - 2918. What is the second derivative of w(l) wrt l?\nAnswer: -10302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 140 and -4.\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 44*f + 40 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3825 - -1503. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/539 and 37\/33?\nAnswer: 1617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, -2\/5, -0.3, -12.99 in descending order.\nAnswer: 90, -0.3, -2\/5, -12.99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 9855*y - 19714*y - 131 - y**2 + 132 + 9860*y. Let l(k) = -k**2 + 6*k + 3. Let h be l(6). Determine s(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {u: 1, h: 1, a: 5, p: 6, m: 5, f: 2}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4761 - -4803. Calculate the remainder when 672 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 27\/12)*(-111)\/(8325\/(-13200)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2419440 divided by 3?\nAnswer: -806480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((6 + -5)\/3)\/((-1)\/(-9)). Let z(a) = -a**3 + 4*a**2 - a + 1. What is z(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -24 + 8. Solve g + 11 = 4*n, -g - 3 = -t*g for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 - 98 - h**3 - 5.\nAnswer: -h**3 - 207","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 - 98*g - 1666. Give k(-13).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + 0 + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -0.3, 5\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 + 259*g + 1040. Let v be c(-4). Suppose 5*l - 494 = -2*f, -l - f + 3*f = -106. Calculate the greatest common divisor of l and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -195, -260, -481, -864, -1415, -2140, -3045?\n\"Answer: -q**3 - 72*q**2 + 158*q - 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32)\/32*(-1486828)\/(-2)*4\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 702 and 49998.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10112202102 + 20011?\nAnswer: 10112222120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.66?\nAnswer: -1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 4*l**2 + 5*l + 5. Let v be s(5). Calculate the highest common divisor of 20 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + 5 - 3*w - 3)*(5*w + 8 - 8)*(9 - 7 - 4) in the form x*w**2 + s + k*w and give k.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (283 - (108 - -33)) + -172.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-96)\/(-20))\/1)\/((-2)\/(-5)). Suppose -2*h - 74 = 4*s, -s - 11 = -4*h + 3*h. Let k = o + s. What is the closest to -3 in k, 0.3, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10976 and -1366160.\nAnswer: -1377136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -33. Let d = f - 15. What is the remainder when 40 is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 0.13 (b) 5 (c) -1 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 2)\/((-2)\/(-8)). Let q(o) = 4 + b*o**2 - 3*o - 14 + 2. Let v be q(-4). What is the greatest common factor of v and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 + -43. Solve -7*l + 3*l = -u for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*2*(-18)\/(-15). Let l be (-2 - 4\/h)*-3. Suppose 2*d - l*d - 18 = 0. Let o(i) = i**2 + 4*i - 6. Give o(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**3 - 47388*x**2 - 16037100*x - 1376853716 = 0.\nAnswer: -11501, -173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**4 - u**3 - 5*u**2\/2 - 8*u. Is d(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 137*q + 200. Let d be m(10). Suppose -d = -f - 2*f - 2*h, f = -h + 525. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-16)*2\/14. Let d = -167\/112 - g. Which is the nearest to 2\/3? (a) 3\/5 (b) 0.2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 i when three letters picked without replacement from jiijeeje.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, o: 2, s: 7, x: 1, f: 1}. Give prob of picking 1 o and 2 s.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 92 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4 = -2. Solve -j*h - 3*h = -5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - -32. Let v = -23 + s. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13654 - 13649. Solve -15 = 4*s + t*l + 2, -4*s + 4*l + 28 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/3)\/(2 + -1). Is q != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -u - 2*s + 6, 0 = 5*u + 5*s. Let y = -25 + 19. Let a = u - y. What is the smallest common multiple of 2 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(125) + sqrt(20)\/sqrt(36) - -1*(-1 + sqrt(5))*3.\nAnswer: -5*sqrt(5)\/3 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5 + 4*x**4 - 16*x**2 - 16*x.\nAnswer: x*(x - 2)*(x + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.3 - 2.11. Let d = z - -1.21. Which is the closest to -2? (a) -3 (b) -1\/2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 3*m. Solve 3*i + i + 20 = m for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -156*v - 146*v + 301*v. Let x(i) = -3*i - 3. Determine 5*l(z) - x(z).\nAnswer: -2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plplxlllplllllll. Give prob of picking 1 p and 1 x.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65 + -24 - (12 + (-2 - (-4 - -4))).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2 - 10*c**3 + 14 - 52*c**2 + 52*c**2 wrt c?\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24276 and 34680?\nAnswer: 242760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/72)\/((-2)\/18). Suppose l*r - p = 3*r - 55, 0 = 5*r + p - 255. Let q(i) = 18*i**2 - 2*i + 1. Calculate the remainder when r is divided by q(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 4 = 6*x. Let c be x + 6\/(-3) - -13. What is the greatest common factor of c and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -164, -0.02, -0.19, 1\/3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqwuqqpuq. What is prob of sequence quq?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 256530 and 2388747?\nAnswer: 1509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -27 + -35 - -4.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6.501859 or 10?\nAnswer: -6.501859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113 = -7*u - 24 + 58 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 6*m**2 + 8*m - 5. Let a be v(7). Suppose r = a*j - 3, 3*j + 1 = -j - 5*r. Let w be (-1)\/((-3)\/(-6) - j). Solve q - w*q = -3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189461 to the power of 1\/2, to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-30))\/(3\/(-12))*38499\/626?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 5. Suppose 4*x + 16 = 8*x. Suppose -43 - 17 = -x*p. Calculate the remainder when p is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16912 divided by -15?\nAnswer: -16912\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 218*d**2 + 3*d + 666. What is i(-218)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.1 + -7. Let n be (-2)\/8*4\/3. Let o(r) = r**2 + 4*r + 4. Let d be o(-3). Put v, d, n in decreasing order.\nAnswer: d, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 16*c + 7. Determine x(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 11*m**3 - 4. What is the units digit of k(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**4\/24 - u**3\/6 - 81*u**2\/2 + 256*u. Let m(x) be the first derivative of d(x). Let r(t) = t - 1. Give -4*m(g) + 5*r(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 336 and 198?\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6*w + 1583 = -z, 0 = w + z - 529. What is the greatest common factor of 16 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100111 + 100?\nAnswer: 1101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, q: 7}. Give prob of picking 2 q.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by 1.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -192965\/21 + 9187. Suppose -33 = 3*x + 9. Find the common denominator of y and (-2)\/x*(-213)\/(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*k - 4*h, 89*k - h - 37 = 84*k. Which is smaller: 157\/32 or k?\nAnswer: 157\/32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1588*p**2*s + p**2 + 86*p + 6*s**3 + 12 wrt s.\nAnswer: -1588*p**2 + 18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -15*p - 4*m, -4*p + 486183 - 486191 = -m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -567796 - 226362 = -35*b - 152993. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*(-48)\/(-616))\/(3273\/516043)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -219, -980, -2265, -4104, -6527?\nAnswer: -9564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1525 is divided by 737?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -d + 3*d**3 + 3*d - d**3 - 46*d**2 + 0*d as o*d**3 + i + x*d + f*d**2 and give f.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, n: 1, c: 2, g: 2, k: 4, v: 6}. Give prob of picking 1 c and 1 k.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.8, -11254, -7?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 25, 27, 23, 13, -3?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 46*j**2 + 418*j - 8494. Give y(51).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) 1253\/47 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/10 + 176\/80. Let x = 6 - l. Suppose t = 2*c - 4*c - 6, x*t = 2*c + 6. Solve -4*j - 4*i + 4 = t, 7*j = 2*j + i + 29 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279935935.\nAnswer: 5, 55987187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -8. Suppose -d = -5*v + 8. Let l be (-4)\/12 + 28\/v. Calculate the highest common divisor of l and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10149969 divided by 509\nAnswer: 19941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -19 + (41 - 2) - (-22 - -18)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = p + 5*m, -2*p + 57*m = 56*m + 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z - 10. Let r be c(12). Let i = r + 34. Let q be (-4 + 4)\/(3 + (-1 - 1)). Solve 5*j + q*j = i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - s - 1. Suppose -2*z + p = -9, z = 5*p + 24 - 6. Let k(g) be the first derivative of g**3\/3 - g**2 - 3*g + 360885. What is z*x(u) - k(u)?\nAnswer: 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189991 and 30048?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109456 is divided by 291?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 127*b - 504, -66 = -5*r + b - 75 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1153455 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vfz when three letters picked without replacement from {z: 1, u: 1, v: 2, f: 4, e: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/874 and 1\/55404.\nAnswer: 1274292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 21 = 3*l. Suppose 14*z = 17*z + 15, -4*r = z - l. What is the smallest common multiple of r and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n = -15. Let z(m) = -m**3 - 4*m**2 - 2*m + 4. Let x be z(n). Let h = x - -3. Solve 5*g - 2 = -h*c, 2*c - 5*g - 13 = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 111740.3959 + -111745. What is n rounded to one dp?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*o + 2517 - 2572, -29 = -3*l - 4*o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ommdmmiootoo. Give prob of picking 1 t and 3 o.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(4\/11))**48*q**(-23)*q**4 assuming q is positive.\nAnswer: q**(127\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2\/7)*l)**22*l\/l**(1\/8)*l*l*(l**(2\/5)\/l*l)\/l)\/(l**(-1)\/l**(-2\/9))**(-38) assuming l is positive.\nAnswer: l**(57973\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -10*d**3\/11 - 57*d**2\/11 + 568*d\/11 - 15 = 0.\nAnswer: -11, 3\/10, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5339 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 less than 2044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 26910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r - 144. Let f be k(-8). Let n be (462\/f)\/(18\/8). Is -0.03 at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3\/3 - 19087*u**2\/3 + 7634*u\/3.\nAnswer: u*(u - 3817)*(5*u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2278500 rounded to the nearest one hundred thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 21, 51, 81, 111, 141?\n\"Answer: 30*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -32. Let d = -7 - p. Sort d, -2\/3, -2.\nAnswer: -2, -2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -146*r + r**3 + 285*r + 0*r**4 - 1301*r - 28*r**4 wrt r?\nAnswer: -336*r**2 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddm when four letters picked without replacement from {d: 6, m: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -5*i - 7. Let n(v) = 5*v - i*v - 4*v + 1. Let a be 1 + -1 - (-6)\/6. Give n(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 + 18*t + 21. List the prime factors of x(-9).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.6 - 0.4. Let s = 0.22 - 0.02. Which is the nearest to -1\/4? (a) 0.5 (b) d (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1392504ml?\nAnswer: 0.0001392504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v = 244. Let s be (-9 - -5) + -3 + v. Suppose -m + 4*m = s. What is the remainder when 70 is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**5\/5 + 93*f**4\/4 + 705*f**3 - 2209*f**2\/2 - 232. Factor l(v).\nAnswer: v*(v - 1)*(v + 47)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 300 (base 4) to base 16\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 5*r - 78. Let i = r + -14. Solve -13 = t - 2*q - 2*q, 0 = -3*t - 5*q + i for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -54 + 32. Let a = s - -18. Let g(m) = 143*m**2 - 2*m + 4. Let p be g(a). Round p to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((4\/10)\/((-2)\/(-5))). Suppose 0 = h + 4*h - 5*q - 1535, -i*h + 929 = 5*q. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 4:29 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r - 8. Let o(m) = -m**2 - 4*m + 9. Determine 4*d(i) + 3*o(i).\nAnswer: -3*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 11*u - 19*u - 79 + 74. Let w(m) = -m. Give w(p(r)).\nAnswer: 8*r + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 25*o = -27*o - 16, -4*q - 4*o + 8 = 0. Solve -21*j - q = -17*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q**1*q*q)))**(-28)\/(q*q*q*((q*q**(-1))\/q)\/q*q)**3 assuming q is positive.\nAnswer: q**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*w - 3*y, -3*y = -w. Solve s - 4*m + 0 + 4 = w, 5*s - 30 = -5*m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1262351?\nAnswer: 31, 43, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1341 + -1341.00000994. Round i to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n. Let o(f) = 9 - 6*f - 9. Calculate p(o(q)).\nAnswer: 30*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 90746749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/8579 bigger than 549?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 + 52 + 99*q)*(-3 + 4 - 2)*(-3*q + 2*q + 2*q)*(1 + 2 - 1).\nAnswer: -198*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19793124889 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5650.\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*v - 4*s + 15, s - 14 = 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = 8*c + 4*n - 3, 0 = c + 3*n - 3. Solve c = 6*b - 9 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-10))\/(24\/(-12))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3966937288?\nAnswer: 2, 41, 12094321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 736790?\nAnswer: 2, 5, 73679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - -2) + (-2 - -1). Differentiate -r + f + 0*r - 1 - 3 wrt r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 296264 = -4*q, 0 = 3463*h - 3460*h + 4*q - 222193. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/4 - 3\/(-4). Let g be 6\/q - 4\/(-4). Let y be 4 - (3 + (-10)\/5). Solve -1 = y*p + v, -3*p - 3*v + g = 2*v for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(0 + 0 - 1)*(3 + 4 - 3)*(-4 - 3*p + 1 - 2).\nAnswer: -12*p - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kpkxkkwppkkpbp. Give prob of picking 1 k, 1 x, and 1 b.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 812 and 49.\nAnswer: 5684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**4 - 28*a**3 = 0. Calculate a.\nAnswer: 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1365456 is divided by 105?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*u + u + 1111. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - -3215?\nAnswer: 3204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eete when four letters picked without replacement from eteezet?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3359998 and 1158620.\nAnswer: 33599980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdz when three letters picked without replacement from rzdvrmrvrrvmrvr.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/17672 and -35\/228796?\nAnswer: 21506824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -2030115\nAnswer: 4060230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 3*w**7\/70 - w**6\/10 - w**5\/4 + w**4\/4 + w**2 + w. Factor i(b).\nAnswer: 3*b*(b - 2)*(b + 1)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 574*o + 18109 = -819*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 3*c**2 + 4*c + 2. Let t(b) be the third derivative of 1\/3*b**3 + b**2 + 1\/24*b**4 + 1\/60*b**5 + 0 + 0*b. Let s be t(-2). Give k(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 10331?\nAnswer: -11002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -244 + 981\/4. Let d = -0.209 - 4.791. Which is the smallest value? (a) d (b) -11\/2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(468)*3.\nAnswer: 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 615312 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from iiygncaag?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 2*a - 6*a)*(25 + 14 - 54)*(-2 + 6 + 2).\nAnswer: 180*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-36)\/(-15)*10\/4. Suppose -5*x + t = -4 - 4, -3*t = -m. Solve 0 = x*s - s + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9461448852549 plus 13.3?\nAnswer: 14.2461448852549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5 = -5*m, -3*m - 2*z - 4 = -6*m. Let c be 1 - (-2 - 2 - 0). Sort m, c, 2\/21 in ascending order.\nAnswer: m, 2\/21, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q - 1. Let u(h) = -5*h + 6. Let l(i) = -4*b(i) - u(i). Let z(j) = 6*j**3 + j**2. Let g be z(1). Does 5 divide l(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -34*p. Let m be b(-10). Let y = m + -242. Suppose -5*r + 2 = -3, 0 = 3*j + 5*r - y. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121102020110 (base 3) in base 5?\nAnswer: 40314441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2413*p + 8*q = -2412*p + 4827*p + 48, -5*p = 5*q - 30 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*n**2 + 8*n**2 + 3*n**2 as p*n + s + i*n**2 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 6*r**2 - r + 1. Let n be (-2 + 8)*(-4)\/(-8). List the prime factors of i(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -121\/5 + 20039\/820. Find the common denominator of n and -51\/82.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28.975 times -32.7\nAnswer: -947.4825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -2*m - m + 5, -11 = 3*m - 2 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -0.0718379?\nAnswer: 0.2281621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 4)*(170*g + 6887 - 6887).\nAnswer: -680*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.068815309 - 2137058.\nAnswer: -2137057.931184691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47101841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 5*l**2 - 6*l + 3. Let w(o) = 3*o + 3. Let x be w(-3). Let c be h(x). Factor -4*p**2 - 6*p**3 - 2 + 4*p**c - 5*p + p**3.\nAnswer: -(p + 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-2))\/((-2)\/36). Solve 5*t = r*t - 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -127613824 divided by 2\nAnswer: -63806912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in -0.46, 3\/35, 0.4?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 + 0)*(-2)\/4. Solve h = -3*g - 12, -4*h - 2*g + 7*g + v = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -27 (c) 0 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1154716913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-5) + 885658\/(-5). Let z = j - -276132. What is z rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**6\/120 + a**5\/12 + a**4\/6 + a**3\/2 + a**2. Suppose -108 - 348 = 220*f - 16. Give s(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(99)*-2)\/(sqrt(729) - sqrt(729)*-3 - sqrt(729)))**2.\nAnswer: 176\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1118 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 v(a) = -a**4 - 6*a**3 + 4*a**2 + 6*a + 6. Let y(j) = j**4 + j**3 - j - 1. Let g(h) = -v(h) - 6*y(h). What is the third derivative of g(f) wrt f?\nAnswer: -120*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6)*72\/3. Let w(i) = i**3 - 9*i**2 + 5 - 47*i + 55*i + 2. What are the prime factors of w(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233849 is divided by 100.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 1341*h + 2733. Is g(48) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -a**5\/15 + a**4\/12 + a**3\/6 + 2*a**2 - 2*a. Let y(k) be the first derivative of w(k). Let d = -4 - -3. Give y(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**2 + 4*t + 2. Let p be q(4). Suppose -10*b + p = -24. Solve 2*w = -1 + b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4668 divided by 6\nAnswer: -778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dllg when four letters picked without replacement from {d: 2, l: 3, g: 5}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.9 + -1.96. Let y = -2.06 - l. Which is the closest to 1? (a) -1\/4 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/((y\/(y*y**2*y*y))\/y)*y)**(-20)*y*y**4\/y*y**2*(y**(-4)\/(y*(y*y*y**(-1\/3))\/y*y*y))\/(y**(-7)*y*y*y**(4\/7)*y) assuming y is positive.\nAnswer: y**(-3323\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0216 rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 82564.48 milligrams in tonnes?\nAnswer: 0.00008256448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q**(-8)\/q)))**(-49)\/(q*q**(-22\/7)*q*q*q**22*q))**(-2) assuming q is positive.\nAnswer: q**(-5854\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 3*c**2\/2 + 9*c + 2444. Determine p(-14).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 5*j - 3*i + 27, -5*j + i + 76 = 0. Calculate the highest common factor of 155 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -1. Suppose 0 = -q + 2*q + h + 13, -5*h - 20 = 0. Let m = -1 - q. Let s(d) = 8 + m + 10*d - 9*d - 4. Determine 22*a(t) + 2*s(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 950 and 68590?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1194, -3711, -1\/30?\nAnswer: -1194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/2)\/((-1)\/(-28)). Let c = h + -21. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2 = u, 4 = -2*s - u + 14. Let t(l) = 20 - s*l + 5 + 1. Let b(j) = 16*j**2 + 1. Let g be b(-1). Let w(a) = a - 9. Give g*w(i) + 6*t(i).\nAnswer: -i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 7*b**2 + 3*b + 6. Let f be o(7). Suppose 0 = 12*j - 11*j + f. What is j rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -743 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48759359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -5. Let r(a) = 6*a + 2. Let w be r(3). Let q be 2\/x + (-8)\/w. Solve 2*t - 2 = -q*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -4. Let k = -23 + 22.9. Let u = -0.6 - k. What is the biggest value in 1, h, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -225 divided by -25.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -500232, -1000468, -1500704, -2000940, -2501176, -3001412?\n\"Answer: -500236*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 370 - 606. Is a greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-65 - 8 + 14*h - 16*h)*(-5*h**2 + 2*h**3 + 5*h**2) to z + d*h**4 + w*h + c*h**3 + m*h**2 and give c.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2903535852 to the nearest integer?\nAnswer: 1427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2)\/(16\/4832). Let u = p + -149. Solve -3 + 23 = 4*v - u*n, 4*n = -v - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1534 - 0.298.\nAnswer: -1534.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + ((30030\/52)\/33)\/(2\/(-1)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -382 divided by 4?\nAnswer: -191\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 less than -1157032103986.61?\nAnswer: -1157032103996.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79 + 34. Let g = 395 - 347. Let l = r + g. Which is the closest to l? (a) -2 (b) -4 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/9, 2, 1, 7?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4717 and 5511147?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3605411 (base 7) to base 15.\nAnswer: -90058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, 1, 1482 in ascending order.\nAnswer: -2, 0, 1, 1482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cttm when four letters picked without replacement from cttccttcmokkom?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*s - 104 = -8 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1583049 divided by -191?\nAnswer: 1583049\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 400 - 104. Calculate the highest common divisor of q and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 9, o: 2}. Give prob of picking 4 t.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101*y**2 - 73*y**2 + 181*y**2 + 47*y - 2*y**3 to the form j + t*y**2 + a*y + h*y**3 and give a.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 2:15 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -2*a**2 - 4. Let u be l(-9). Calculate the greatest common divisor of u and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*u - 7*z - 29, -2*z + 19 = u. Suppose -u + 13 = -m. Solve h + 1 = -m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14590967 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121199877?\nAnswer: 3, 211, 63823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/20*(-31 - 722\/(-57))\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*9 + (-34)\/102*-36.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 7*x**2\/2 - 79. Let i(p) be the first derivative of 7*p**3\/3 - 12. What is r(i(s))?\nAnswer: 49*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((1 + sqrt(720) - sqrt(720) - sqrt(720)) + -3 - (-1*sqrt(720) + -3)) + -2)**2 + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4\/20*0\/(20\/(-10))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = h, -26*h + 22*h - 55 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 24, 4, 38.9, 0.9, 246?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -56*p + 1111. Calculate the remainder when 492 is divided by u(17).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 61431 - 5?\nAnswer: 61424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.5158 and -0.45.\nAnswer: 5.63211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -302*i - 2. Let c(u) = -2265*u. Give c(n(w)).\nAnswer: 684030*w + 4530","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-496)\/186)\/((-8)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24130 - -24129.9999930394. What is n rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-5\/6)*c*c**(4\/3)*((c\/(c*c**(-1))*c)\/c*c)**38)\/((c**(-3)*c*c**(-2\/5))\/(c**(2\/9)*c*(c\/c**(-2\/5))\/c)) assuming c is positive.\nAnswer: c**(7577\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 11 + 2*f + (2*f + 0*f - f)*(-1 + 1 - 1) + 0*f + f - 3*f)*(-2 + f + 2) to the form b*f**2 + t*f + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 267 + -253. Suppose -2*n = n. Suppose -j + 1 + 2 = n. Solve 2*l + 5*g = k, -5 - j = 4*l + g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 868619083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - 3962\/(-77)) + (-12)\/(-22). Is -6 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 149159 + -482159. What is z rounded to the nearest 10000?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 781150 and 7786?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 14*p**2 + p + 8. Let c = 7 - 21. Let k be n(c). Let y = 8 - k. What is the smallest common multiple of 6 and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29*n + 20*n + 3*n)*(-3*n**2 - n**2 + n**2)*(-8 - 3*n + 8)*(1 - 9 + 1) + 0 - n**4 + 0 to the form x*n**3 + q + o*n + l*n**4 + c*n**2 and give l.\nAnswer: -3277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.4655 * 0.88.\nAnswer: 1.28964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - j. Let r(u) = -35*u**2 + 2*u. What is -2*b(g) - r(g)?\nAnswer: 37*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -93091 < -93093?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.1 (b) 2 (c) -3 (d) -3863\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -48260, -96517, -144774, -193031, -241288, -289545?\n\"Answer: -48257*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/2)\/(12 - 11). Let v be 4\/(-4)*(-1 - 2). Put -5, i, v in decreasing order.\nAnswer: v, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 896 - 897. Which is bigger: 12.31 or a?\nAnswer: 12.31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2253933889 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: Let f(u) = 1643*u - 7289. What are the prime factors of f(9)?\nAnswer: 2, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -0.2, -2687, -249?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 5*a - 5. Let b(v) = -419*v**2 + 838*v**2 - 422*v**2. Determine b(i(q)).\nAnswer: -75*q**2 + 150*q - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42684098?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 2 - 3)*(-3*x + x - x) - 2*x - 3 + 3 - 2*x + 0*x - x)*(181 - 181 + 249*x**2).\nAnswer: -498*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13051*a = -13130*a + 316 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11379*q + 13655*q - 13656 = 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 8*u**2 + 5 + 8*u**2 - 14 - 12*u - 17*u**2. Let o be f(-11). Let m(c) = 2*c**2 - c - 1. Calculate m(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5249 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 95 by 2.\nAnswer: 95\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5277730)\/(-45) - (-5)\/135*3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t - 3*t - 2*t - 1 + 1 - 2*t + 1 - 1 - 2*t + (-2 + 2 + 1)*(t - 1 + 1) - 266 + 266 + 75*t.\nAnswer: 70*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (22\/(-77))\/(3\/(-42)). Suppose 0*m + 445 = 5*m. Suppose t - 3*w - m = 0, -3*w + 363 = r*t - 8*w. What are the prime factors of t?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from mmbmmacamcam.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, a: 5, q: 3}. What is prob of sequence qf?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 6*k**2. Let w = -5 - 1. Let z be b(w). Is 5 a factor of (-3 - z)\/((-18)\/60)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 2)*(1 + 0). Let t = 50 + -44. Suppose t*y - j*y - 192 = 0. Does 17 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2586037.48658 + 119100.513428. Let h = -2705148 + x. Let g = h - -10. Round g to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (55 - 53 + 35 + 86)*(3 - 3 + 2*m) in the form v + u*m and give u.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*c**2\/4 - 111*c\/2 + 12.\nAnswer: 3*(c - 8)*(9*c - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 596\/10537 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123331454 (base 6) to base 7.\nAnswer: 26313454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(14\/(-7)))\/((-2)\/(-4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*x - 5*s - 532, 4*x - s = 537. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i*p**3 + 2809*i*p**2 - p**4 - 226*p**3 + 46 wrt p.\nAnswer: -6*i - 24*p - 1356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2305 and -26.\nAnswer: 2279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 47623497 divided by -3?\nAnswer: -15874499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1632)\/(-306)*18\/(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101100111101001110 (base 2) to base 3.\nAnswer: 100100121002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 4. Let h be (l + 2)*(-6)\/16. Sort h, -2, 8.\nAnswer: -2, h, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -48\/12217 and 55\/4501?\nAnswer: 85519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3480 and 30?\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhpphch. Give prob of sequence hh.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 9708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -151*o**2 - 6*o + 6. Let k(a) = 150*a**2 + 9*a - 8. Let h(p) = -3*k(p) - 4*n(p). Let y(s) = -s**2. Determine h(y(x)).\nAnswer: 154*x**4 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 592593 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42.88 + -0.12. Let y = b - -42.9965. Round y to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + b**2 + b + 1. Let g(u) = -5*u**3 + 3*u**2 + u + 15. Calculate -2*f(a) + g(a).\nAnswer: -3*a**3 + a**2 - a + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 - k**2 - k - 1. Let x(s) = -695*s**3 + 4*s**2 + 5*s + 3. What is 4*o(r) + x(r)?\nAnswer: -699*r**3 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 0*v**3 + 2\/5*v**5 + 0*v - 7 + 0*v**2 - 1\/2*v**4. Factor r(f).\nAnswer: 2*f**3*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -983716, -1967444, -2951196, -3934984, -4918820, -5902716, -6886684?\nAnswer: -7870736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/(1925\/(-22)))\/(2\/(-4)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.39599 and -4?\nAnswer: 1.58396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**7\/2520 + p**6\/80 - 3*p**5\/40 - 9*p**4\/4 - 14*p. Let f(d) be the third derivative of o(d). Calculate f(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o + 5. Let d(b) = b - 1. Let w be -3 - (2 + (1 - 1)). Let k(a) = w*d(a) - f(a). Let j(i) = i + 2*i + 0*i. Determine k(j(h)).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322 = 6*z + 122. Let l = 118 - z. Suppose 141 = 5*m - j - 106, 4*m + 2*j = l. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/19)*h**(-4\/3)*h*h*h)**(-16) assuming h is positive.\nAnswer: h**(-1472\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23426995 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and (-1)\/(-1)*(-15)\/(-3)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -60*5*(-19)\/1425. Factor 2*n + 10\/7*n**3 + 4\/7 + 2\/7*n**k + 18\/7*n**2.\nAnswer: 2*(n + 1)**3*(n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 48?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11405383\/156 + -73111. Calculate the common denominator of 93\/236 and p.\nAnswer: 9204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, j: 4}. Give prob of sequence kj.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -4*k - 112. Suppose -2*h - 2*h + k = 0. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106.5 + 106.2. Sort x, 0, 5, 3\/2 in increasing order.\nAnswer: x, 0, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -382558, 4, 6 in increasing order.\nAnswer: -382558, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - m + 6*m - 15 = 0, 0 = 4*z - 2*m + 6. Let b be -1*(-3)\/(-3) + z. Is b greater than or equal to 4\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -108, -1, -8 in increasing order.\nAnswer: -108, -8, -5, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.12? (a) -1\/6 (b) 1.8 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -177786, -177983, -178180?\n\"Answer: -197*u - 177589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4890666*v**2 + 1149958*v**2 - 2160712*v**2.\nAnswer: -5901420*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d + 0*d + 2234 + 4*d**2 - 1118 + 3*d**2 - 1125. Calculate h(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181622*v + 0*c + 5 = 181623*v + c, 0 = -c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q - 51. Let n = -26 + 14. Let k = q - n. Put k, 2, -1 in ascending order.\nAnswer: k, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126299 and 6?\nAnswer: 757794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -11237, -9169, -7101?\n\"Answer: 2068*h - 13305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 28123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**3*v**3 + n**3*v + 7*n**2*v**3 - 85*n**2*v**2 + 1132*n*v**3 + 5*n + 5*v**2 wrt v?\nAnswer: -6*n**3 + 42*n**2 + 6792*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -2*n + 10. Suppose n*g - 12 = 3. Suppose g*d = 10*d - 826. List the prime factors of d.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -86 - 3434.24.\nAnswer: -3520.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 333*c + 2731. Determine g(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, n: 3, i: 3, p: 2, h: 7}. Give prob of sequence ipn.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32527432 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**24*o**(-5\/2)*(o*o*o**14*o)\/o*(o\/o**(2\/9))\/o assuming o is positive.\nAnswer: o**(671\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-56)*-6*(819\/(-52))\/(-3)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 9*y - 36. Let f be y\/(-2 - (-14)\/4). Solve -f*l - 2 = -2*v, 0*v - 2 = -2*l - 2*v for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 729605 and -38?\nAnswer: -27724990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3032111 (base 4) in base 16?\nAnswer: -3395","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w + 3. Let y(u) = -4*u - 4. Let q(s) = 3*k(s) + 4*y(s). Give q(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.12. Let b = -73.98 - -73. Let t = b - n. What is the closest to t in 5, -3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418446673?\nAnswer: 409, 613, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(76)\/(sqrt(20)\/sqrt(5)))*6.\nAnswer: 18 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of u**2 - 3. Let v(w) = 24*w - 10. Let x(p) = -22*p + 8. Let q(y) = -4*v(y) - 5*x(y). Determine t(q(f)).\nAnswer: 28*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 3*l = -25, 3*l = 4*w - 5. Suppose 5*g + 4*f = 6*f + 28, w*g + 5*f = 0. Suppose -2*h - o + 23 = 0, -g*o = h + o - 34. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 2, 5, 4, 5176 in descending order.\nAnswer: 5176, 5, 4, 2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnfnfxfnxxxnnnfn. What is prob of sequence xf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*s + 212, -4*c - 48 = -5*s - 331. Calculate the smallest common multiple of c and 27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3. Let i(a) = a - 5*a - a + 4*a + 3. Calculate 3*i(l) - 2*j(l).\nAnswer: -3*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-321)\/214*31\/(3627\/(-96))?\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -10*n - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z - 5*z - 23 + z + 7*z + 24 + z**2. Determine b(-10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 317\/5? (a) -3 (b) -1\/39 (c) 367\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + o + 6. Let v be p(0). Let a = v - 1. Calculate the remainder when 18 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and ((2 - -1)\/(165\/(-484)))\/((-4)\/130)?\nAnswer: 5720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31404?\nAnswer: 2, 3, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62481 is divided by 279?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 776?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of o**4\/2 - 6*o**3 - 6*o**2 - 9*o - 21. What are the prime factors of i(12)?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + -0.1. Let s = -0.2 - g. Let y = 0.98 - -0.02. Which is the closest to y? (a) 3 (b) s (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1921*w**4 - 73*w + 1630148.\nAnswer: 7684*w**3 - 73","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.6709 to two decimal places.\nAnswer: 3.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -65 + (0 + 1)*1 + 1. Let o = 70 + f. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d - 15. Let k be f(-17). Differentiate -1485*w**4 - 4*w**k + 1519*w**4 + w - w - 140 wrt w.\nAnswer: 136*w**3 - 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**3*g)**(-11\/4)\/((g*g*g**6)\/g**1) assuming g is positive.\nAnswer: g**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -4*l - 30, 3*l - 29 - 5 = -11*v - 2*v + 16 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 403510 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 97.8515 - -64517.\nAnswer: 64614.8515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**3 + 2*m**2 + 2*m + 1. Let z(u) = 6*u**3 - u**2 + u - 1. Let o be z(1). Let k(s) = o + s**3 - 3 - s**2 + s + 0*s. Let b be k(-1). What is q(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4 - 9 - 23*w + 13 - 23*w**3 wrt w?\nAnswer: -138*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 80 = -w. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7270*z - 700758 = 2806*z + 2901*z for z.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24611, 40623, 56647, 72689, 88755?\n\"Answer: s**3 + 16005*s + 8605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 - 7*m - 6. Suppose -2*u = 5 - 67. Let c = 25 - u. What is v(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19284?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*(0 + sqrt(1573)))**2 + -3.\nAnswer: 132*sqrt(13) + 6298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of 5*t**7\/7 + t**5 - 16*t**2 + 7*t. Find the third derivative of m(z) wrt z.\nAnswer: 3600*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/7)\/(2\/14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((4*sqrt(416)*-5)\/(sqrt(6)\/sqrt(3)*-5 - (4*sqrt(8)\/sqrt(4) + sqrt(2))))**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6 - 2*j - 19*j**3 + 18*j**3 - 2*j + 7*j**2. What is f(5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 269\/4 + -12113\/180. What is the nearest to p in 2, -0.09, 2\/7?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132821741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -387\/22 in -2, -1, -13, -2\/11, -3\/5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from ffrhhfhffffhf.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 495 and 2277.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 5*g + 10. Suppose 2*x - 18 = h, g*x + 14 = -3*h + 37. Sort -4, x, 3 in descending order.\nAnswer: x, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - v. Let p be g(-2). Suppose -255 = -p*u + 147. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2397 and 2.\nAnswer: 2399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1019 + -991 + (-6 - -1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 11:25 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - -1. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.6 - 1.6. What is the third smallest value in 2\/9, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, 6, 1\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**5\/3 - 8671*j**4\/3 - 104176*j**3\/3 - 173660*j**2\/3 = 0 for j.\nAnswer: -10, -2, 0, 8683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**5 - 37971*x**4 - 84771246*x**3 + 223839839178*x**2 - 104638201488543*x + 311902337813049 = 0. What is x?\nAnswer: -7153, 3, 823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16*2\/(40\/6*-3))\/(4\/40)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 8:56 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 962803 to the power of 1\/2, to the nearest integer?\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -619 times -28.28?\nAnswer: 17505.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35176?\nAnswer: 2, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 405 = -375. Which is bigger: v or -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4987? (a) 2\/3 (b) -6 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-9\/5))**31\/((o\/o**(2\/93))\/o**(2\/31)) assuming o is positive.\nAnswer: o**(-26372\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 7*f - 2. Let w(z) = 6*z - 3. What is 4*w(s) - 5*y(s)?\nAnswer: -11*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(s\/(s**28*s))*s*s*s**(2\/37)*s assuming s is positive.\nAnswer: s**(1223\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 11:54 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/7603629 and -12\/21373.\nAnswer: 220505241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 7136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13\/((-65)\/(-30)) - 1. Suppose 3*q + 4*b - 42 = b, 3*b = p*q - 102. Calculate the remainder when q is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**6\/120 + d**5\/60 + d**4\/12 - 13*d**2. Factor u(q).\nAnswer: -q*(q - 2)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -968 = 329*r - 5903 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 4*v + 2. Let l be q(3). Let n = 3 + 1. What is the second derivative of 0*m**5 - n*m + m**5 - 3*m**l + 6*m**5 wrt m?\nAnswer: 80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*6\/(-12)*22114. Let m = z - 1948. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (768 - 1534 + 67*c + 768)*(5*c**4 + 0*c**4 - 2*c**4).\nAnswer: 201*c**5 + 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u. Let m be 2\/10 + (-28)\/(-10). Let s(a) = 3 + 6*a + 3*a - m. Calculate c(s(w)).\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 287651698?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3762508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 + 5*x + 2. Determine l(-4).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26956, -108030, -243152, -432322, -675540, -972806?\nAnswer: -1324120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/6*(-39)\/13. Let x(y) be the first derivative of y**3\/3 + 5*y**2 + 15*y - 2. What is the units digit of x(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 531 and 44427.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 111.72 - 106.72. Which is the nearest to -2? (a) 11 (b) o (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, z: 3, f: 3, v: 3, u: 2, j: 3}. Give prob of picking 2 f and 1 v.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 14 = -0*d. Suppose 5*f = 8 + d. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.9 - 3. Let z = 45 + -44.97. Let y(t) = 2*t - 12. Let v be y(5). Which is the third smallest value? (a) z (b) q (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 + 57\/33 + (3 - 4) and (-142)\/(-12) + 0 + -1?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 23112 + 2*j**2 - 11555 - 11557. Let v(t) = -54*t - 2. Let o(r) = r. Let z(g) = o(g) + v(g). Calculate d(z(f)).\nAnswer: 5618*f**2 + 424*f + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 219671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 10*n**2 + n - 14. Let d be v(-10). Let s = -4 - d. Suppose -4*j + s = -0*j - 4*c, -j - 1 = 2*c. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*12\/201)\/((-80)\/5 + 18)?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4815\/10*(2 + 16\/(-12)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -0.13, 2, 7.68, 22, -0.5 in decreasing order.\nAnswer: 22, 7.68, 2, -0.13, -0.5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 2*m - 3. Suppose 166 = 5*d - 184. Let o be (6\/(-4))\/((-5)\/d). Let f be (-56)\/o + 2\/3. Calculate q(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296 divided by -8.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*p + f - 5*f, 3*p - 11 = f. Let x(j) = j**3 + j**2 - 2*j + 3. What is x(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 5:32 AM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -d, -x - 3*d = -5. Suppose x*v - v - 320 = 0. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016937758 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 161*j - 6. Let b be d(2). Let t = b + -194. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/18*-4*(-18)\/(-480).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 616 a factor of 589266811?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - z)*(-3 + 2 + 0) - 3*z + 0*z + 2*z + (-1 + 0 + 2)*(3*z + z - 2*z) + 2*z - 2*z + 2*z - z + z - 2*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*w + w - 22 = 0, -3*w + 66 = 3*a. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.269717s in minutes?\nAnswer: 0.02116195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.07387 times 0.4?\nAnswer: 0.829548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 times -0.04?\nAnswer: -11.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7394 minus 0.02?\nAnswer: -7394.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -12.172129 and -0.05.\nAnswer: -12.222129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2418403637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 13*s**2 + 15*s + 5. What is the remainder when u(14) is divided by 6\/27 - (-129)\/27?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = m + 160 + 233, -3*h - m + 300 = 0. Suppose 0 = 5*p, 5*p - 9 = -2*q + h. Solve -64 + q = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v + 3. Let k be (-10)\/4 - (-1)\/(-2). Let c be f(k). Solve -4*z = z + c for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + a = -6*o + 12, o + 5*a = -12. Suppose -3*h + o = -1, 0 = -4*z + 2*h - 78. Let m be (-9)\/z + 23\/(-2). Sort 5, m, 4 in increasing order.\nAnswer: m, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - q + 1323 = 0. Calculate the remainder when q is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*x = 190*x - 9010. Calculate the greatest common divisor of 4505 and x.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(1\/2)\/v))\/v*v\/v**(1\/7)*v\/v**(2\/7)*v*v*v**(1\/2) assuming v is positive.\nAnswer: v**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 12*r**2 - 14*r + 26. Let c be n(-13). What is the greatest common factor of 351 and c?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 14*w**2 + 2*w - 19. Let x be l(14). Suppose x*j - j - 32 = 0. Solve 2*v = j*b - 22, 1 = v - 4*b + 18 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 0.5, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v + 5. Suppose -5*i + p = -17 - 9, -p = -4*i + 20. Does 17 divide l(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 8 = 2*k, 3*b = -7*k - 630 + 603 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1852 + -1853. Let g = -0.045 - 49.955. Is g smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37a1 (base 11) to base 9\nAnswer: -6711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1.3. Let g = 0.63 + -0.64. What is the third biggest value in g, -2\/13, x?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1169 by 3.\nAnswer: 1169\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, y: 1}. What is prob of sequence dd?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 24 = -24. Suppose 0 = 5*k - r*l + 8*l - 245, 2*l = -k + 41. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -251201215 - -31?\nAnswer: -251201154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(117) + 2 + (sqrt(117) + -2 - sqrt(117)) + 4 - 2*(4 + sqrt(117)*-1)**2) + 4)*-4.\nAnswer: -204*sqrt(13) + 1020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvvv when four letters picked without replacement from {h: 2, v: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(-176) + (-92)\/(-32). Suppose 28*v - 42325 = r*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5*j**2 - 54 + 268\/5*j = 0.\nAnswer: -135, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**4\/24 + k**3\/6 - 2*k**2 + 6*k. Let i(v) be the first derivative of q(v). Determine i(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2206678685 to the power of 1\/2, to the nearest integer?\nAnswer: 46975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -97270 rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -70 + 281. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85 - -81. Let p be (-2)\/y*3*(1 + 5). Let c be (2 - 15\/p)*33. Solve -g = 2*g + 5*w + 3, 5*g + 3*w = c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8660468204 plus 3?\nAnswer: -8660468201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2062901.48 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 21*z**3 - 5*z**2 - 5*z - 1. Let u(w) = -10*w**3 + 2*w**2 + 2*w. Let q(b) = 2*p(b) + 5*u(b). Differentiate q(h) with respect to h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3.243297 decades?\nAnswer: 389.19564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3694882361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3523039 and 351?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*d**3 + 412 wrt d?\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 309527501746897\/22035 - 14047084267. Let s = a - -4\/1469. Let w = 587575\/33 + -17807. Find the common denominator of w and s.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 2:08 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -30. Are o and 36 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, -0.01, 2\/11?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 964?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-1 - (-3 - -8))) + 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -0.3 (c) 15 (d) -0.06 (e) -2\/9 (f) 29.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m + 10. Let y be b(-7). Let j = y + -19. Let z be 5\/j + 4\/(-6). Are 0 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11883.\nAnswer: 3, 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1069 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a hour in seconds?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48.9 + 8.1. Let v = j - -41. What is the nearest to -2 in v, 0.4, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 96 = -6*s. Solve -3*b + 2*m = -16, -2*b + 2*m = -2*m - s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4463775426?\nAnswer: 2, 3, 11, 127, 48413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1113)\/112*4\/(-177). Let l = -3\/118 - m. Sort 9, l, 2, -5.\nAnswer: -5, l, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**6\/60 - m**5\/12 - m**4\/8 - m**3\/3 + 6*m**2. Let i be w(3). Sort 3, i, 6, 1 in descending order.\nAnswer: 6, 3, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72143171*c**2 + 36600142 with respect to c.\nAnswer: -144286342*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -262, -438, -430, -142, 522, 1658, 3362, 5730?\n\"Answer: 16*z**3 - 4*z**2 - 276*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 42 + -27 + (-8 - 0).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(405)*-3)**2 - sqrt(405))*6 + 4)*5.\nAnswer: -270*sqrt(5) + 109370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217689 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 276 - 279 + 2*r - 2*r + 35*r**2 as h + k*r**2 + o*r and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 14 = 15*w. Let r be 2\/(-4)*(-5 + w). Suppose -3*v - v + 8 = 0. Solve v*c = 4 + r for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11324 (base 5) to base 15.\nAnswer: 3ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 0 - 4. Let h(v) = -v**2 - 8*v + 1. Let t be h(-8). List the prime factors of 18 + k + -1 + t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30321 (base 8) to base 2\nAnswer: -11000011010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 14, 1, 677, 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 5. Let f be z(8). Suppose -f = d + 21. Let g = 39 + d. What is the greatest common divisor of g and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1377295.2808 take away -0.41?\nAnswer: -1377294.8708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2215 + 3816. Is 0.1 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 divided by 834291.\nAnswer: 20\/278097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of 97*k**7\/7 - 26*k**3\/3 - k**2 - 102. Find the third derivative of h(q) wrt q.\nAnswer: 11640*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -335 + 330. Let b be 116\/(-10) - (-3)\/5. Put 0, j, b in decreasing order.\nAnswer: 0, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2127 is divided by 418.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 287. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11497261 to the nearest integer?\nAnswer: 3391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5453 and 538986.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/47, 1.239, 3\/4, -5?\nAnswer: 1.239","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(128) - (sqrt(128) - ((sqrt(128) + 1)*5 - sqrt(128))))*5 + -3*sqrt(128)*-3 + 3)**2.\nAnswer: 12064*sqrt(2) + 108324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**4 + z**2 - z**2)*(-2 - 2 + 5) + 4*z**4 - 1 + 1 + (-2*z**3 - z**3 + z**3)*(-z + z + z).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10443, -10430, -10409, -10380, -10343?\n\"Answer: 4*k**2 + k - 10448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 7:56 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from peppplppppeptletl. Give prob of picking 2 t.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -102460 rounded to the nearest 1000?\nAnswer: -102000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + h + 17 = -0*n, -2*h + 6 = 2*n. Let j(p) = 5 - 2*p - 116*p**2 + 62*p**2 + 57*p**2. Let w(f) = 4*f**2 - 3*f + 6. Calculate n*j(g) - 4*w(g).\nAnswer: -g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrpirxyixrxibbybi. What is prob of sequence yrp?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -118 or -121568\/1031?\nAnswer: -121568\/1031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.54 to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-1\/2)\/m*m*m*m)**(-6\/19)\/((m*m*m\/(m\/(m**(2\/9)*m)))\/((m\/m**(1\/9))\/m)) assuming m is positive.\nAnswer: m**(-253\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/483450 and -67\/8589295.\nAnswer: 257678850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -81 - -86. Suppose 0 = -j*r + 2*r + 60. Let n be (-5)\/(-15) - (-112)\/6. Do n and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/(-70)*50\/(-6)*32\/(-100)?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -508150, -508153, -508156, -508159?\n\"Answer: -3*v - 508147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - c + 11, 0 = 2*q + c - 0*c - 9. Suppose 6*o - q = 22. Suppose 3*y - 3 = o*y. Is y greater than or equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 1495 = -d, -8*d - 2*k - 5980 = -4*d. Is -1496 less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99151 at least 99151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 108*v**5\/5 + 81*v**4 - 132*v**3 + 70*v**2 - 16*v - 162. Factor c(g).\nAnswer: 4*(g + 4)*(3*g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 26*p - 6. Let j(i) = 26*i - 3. Let r(s) = 9*s - 1. Suppose 3*x - 31 = 2*y - 0*y, -3*y - 8 = -x. Let t(a) = x*r(a) - 4*j(a). Give -16*t(o) - 3*z(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*((-4)\/(-1))\/(-48)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.4 (c) 0.15 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -56*l. Let v be d(-4). Let z = -6624 + v. What is z rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 403046, 403061, 403074, 403085, 403094, 403101, 403106?\nAnswer: 403109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2487 and 19896?\nAnswer: 19896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 294 divide 188688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 PM and 3:02 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 29*u - 5. Let o(p) be the second derivative of 19*p**3\/6 - 3*p**2\/2 + p + 1104. Determine -5*h(w) + 8*o(w).\nAnswer: 7*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 4.22 (b) 11 (c) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 10 (b) -258 (c) -8 (d) 0.006\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -985 + 990. Solve h*x = -2*n + 1, 2*n - 6*x = -x + 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 12519, 25350, 38181?\n\"Answer: 12831*c - 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, b: 1, w: 5, c: 2, r: 1, f: 2}. What is prob of picking 1 c, 2 v, and 1 f?\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 65854233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95 + 116 = 7*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1584)*-1)**2 + 1.\nAnswer: 1582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 + 60. Which is the closest to 0? (a) r (b) 85 (c) 0.4 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 12. Let t = -0.8 + 1. What is the closest to 0.2 in 0, t, p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/p**8)\/(p**5\/p))\/(p*((p*p**(-1))\/p*p)\/p)**(2\/15))**(-24) assuming p is positive.\nAnswer: p**240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -130951.2737 to the nearest one thousand.\nAnswer: -131000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -263*a + 259*a. Which is bigger: 7 or a?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -55204, -60880, -66556, -72232, -77908, -83584?\n\"Answer: -5676*l - 49528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xa when two letters picked without replacement from yxyyxxyxaaxxyyy?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65.49 - 1.51. Let b = h + 72. Put 2, -4, b, -1\/3 in decreasing order.\nAnswer: b, 2, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -46a?\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -32907381, -3, 2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/(-6)*((-210)\/(-36) - 6)*3. Which is the nearest to 0? (a) -0.1 (b) -0.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*n - 128*n - 24*n.\nAnswer: -204*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -12. Suppose 0 = -q - 2*s - 4, -k*q + 7 - 3 = -2*s. Factor 0 + q*o - 1\/2*o**2.\nAnswer: -o**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30\/7)\/(((-279)\/42)\/(-31)). Solve 2*v + o = 3*j, -2*v + 4 = j + 2*j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -14, -2, -412 in ascending order.\nAnswer: -412, -14, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 divided by 15?\nAnswer: -46\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*s - 0*s + 3*w, 5*s - 5*w = 25. Suppose -s*y - 86 = -6*y. Let j = y - 21. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 + 6*y**2 - 6*y**2 + 3 + (-4*y + 4*y - y)*(-2 + 2*y + 2))*(-100 + 11*y + 100).\nAnswer: -33*y**3 + 33*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1383405 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -921, -5\/3, -3\/7, 0, -1\/5, 2.\nAnswer: -921, -5\/3, -3\/7, -1\/5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 2)*(1 + 6 - 4)*(29*x**3 - 29*x**3 + 10*x**4).\nAnswer: 30*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1429+8217754381\nAnswer: 8217755810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q + 14. Determine p(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -360*q**3 + 443*q**2 + 6*q. Let m(p) = 721*p**3 - 888*p**2 - 10*p. Let f(r) = 5*d(r) + 3*m(r). What is the third derivative of f(s) wrt s?\nAnswer: 2178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-15495906779796\nAnswer: -15495906779795.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h. Let c(x) be the third derivative of -7*x**4\/24 + x**3\/6 - 793*x**2. Give c(y) - 2*v(y).\nAnswer: -5*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/(-105)*9\/48*2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqrr when four letters picked without replacement from kqdrqqdrtqqq.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 25 = 2*j, 4*q = j + 453. What is the greatest common factor of q and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224.7818 millimeters to centimeters.\nAnswer: 22.47818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-176)\/(-572))\/((-20)\/(-5)*2\/(-4)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 4*w = 0. Suppose w = j - 9. Which is smaller: 8 or j?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r**4 - 5*r**2 - 2*r**4 - 98*r**2 + 3*r**3 + 3*r + 98*r**2 to n*r**4 + t*r**3 + d*r + j*r**2 + h and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16 + 138\/(-8))*-47*4. Let l = 1672 + a. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -279 + 275. Let m = -29.4 + 21. Let w = m + 8. Is g > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -28. Let q(y) = 9*y**2 - 4. Let g be q(m). Let o be (-9)\/(-12) + 1902\/24. What is the greatest common factor of o and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 79 + -35. What is the highest common divisor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 118840769?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -63 + -4 + (-8 + 20 + 5 - 1)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61867\/10 - -6193. What is the common denominator of c and -15\/281?\nAnswer: 2810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*g**3 + 4*g**3 + 2*g**2 - 12*g**2.\nAnswer: -13*g**3 - 10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*m - 1 = 9, 3 = 5*v - 3*m. Suppose 0 = -4*c - w + 62, -v + 1 = -w. What is the highest common factor of c and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.30947872 and -407.\nAnswer: -409.30947872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 117183 divided by 6?\nAnswer: 39061\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.465 + -334.\nAnswer: -333.535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of v**2 + 60. Let i(w) = -30*w**2. What is i(k(x))?\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264 - 5*u + 4*u - 2*u + u + 5*u.\nAnswer: 3*u + 264","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 x when two letters picked without replacement from czxxcxzzzr.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -27. Which is bigger: u or -3\/41?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 597085.\nAnswer: 5, 119417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -1813826 and -1813824 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-584 + -3)*1)\/(-6). Let x = a - 110. What is the common denominator of -7\/4 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 3380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -r + 2. Let i = r + -1. Let x = 0 + i. Solve b - 5 = -5*g - x, -4*b - 2*g = 16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 9. Let q be k(0). Suppose -5*a + 12 + 3 = -5*d, 3*d = 4*a - 9. Let g = q + d. What is the highest common factor of g and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 319 + 56 = 0. Calculate the remainder when c is divided by 34.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 e, and 1 s when three letters picked without replacement from geesegeie?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/100*-4)\/((-2)\/(-5)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d**2 + 2*d. Let o be w(-2). Suppose 270 = -o*k + 762. Solve -k*h + 46*h = -10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -110, -216, -310, -386, -438?\n\"Answer: m**3 - 113*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 + 16*z**2 + 14*z + 16. What is the units digit of x(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -521.53 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43 and 937.\nAnswer: -40291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sw when two letters picked without replacement from {s: 1, w: 2, d: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 667 is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 15 + ((-15)\/20)\/(9\/(-132)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*s + 6831 = 112*s. Calculate the highest common divisor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-2) + (6 - 7). What is the units digit of j\/((-3)\/6) + 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 - s**2 + 2*s**2 + (s**2 + 0*s**2 + 0*s**2)*(-5 + 5 + 3) + (80*s - 5*s - 6*s)*(-2*s - s + s).\nAnswer: -134*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - u**4 - 21*u**2 + 21*u**2 + (-23*u**3 - 186*u**3 + 43*u**3)*(-3*u + 0 + 4 - 3).\nAnswer: 497*u**4 - 166*u**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - -194a92?\nAnswer: 194a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1625441000 to the nearest 1000000.\nAnswer: 1625000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 7*x**2 + 2*x - 2. Let j be k(-2). Let z(v) = 2*v**2 - 10*v - 34. Does 34 divide z(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 3*h - 13. Let o be d(7). List the prime factors of (48\/(-20))\/(-6) + 2994\/o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(160) - (sqrt(160) + (sqrt(160)*-3 - sqrt(160))*-2))\/sqrt(8))\/(sqrt(250)*1 + sqrt(10) - -1*sqrt(10)*-5).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 13*s**2 - 2*s - 2. Let r(q) = q**3 + 2*q**2 - q - 1. What is g(p) - 2*r(p)?\nAnswer: -3*p**3 + 9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z. Let i(g) = 778*g. Determine c(i(k)).\nAnswer: 3112*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -276928\/3 or -92308?\nAnswer: -92308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m = 9*m - 0*m + 90 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 2:18 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8285509 years in centuries?\nAnswer: 0.008285509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 9*w - 5. Let i(o) = 2*o**2 - 17*o - 10. Let y(u) = 3*i(u) - 5*p(u). Let v be y(7). Let k = -56 - -54. Is k at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8031, 16092, 24155, 32214, 40263?\nAnswer: 48296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 111331441?\nAnswer: -111331441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyyn when four letters picked without replacement from yqnyyoynqynqq.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -75.8195.\nAnswer: -68.8195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 124255 + -124254.934199. Round f to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3748 = 4*x - 2*q, -5*x - q = -4685. Let h = -50 + x. Is h 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 10:07 AM and 2:56 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -188*j + 20. Let l(k) = -1. Let d(a) = -12*l(a) - p(a). What are the prime factors of d(1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196503 to the power of 1\/2, to the nearest integer?\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.4 - 9.4. Let t = -14 - h. What is the second biggest value in -3, t, -3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**2 + 507. Let g(u) = -2*u**2 - 4*u**2 + u**2. What is m(g(d))?\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*x = 76*x - 6, 0 = -5*y - 2*x - 32. Suppose 2*n + 0*n = 10. Sort -1, y, 1, n in ascending order.\nAnswer: y, -1, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_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: Does 69 divide 9214950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.3416 - -2.44. Let k = 0.1 - p. Let l = 0 + k. Round l to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12664612 and 2672.\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-794)\/397)\/(3*((-6)\/1)\/(-234))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 5\/2, -0.2, 0.3, 14?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bvev when four letters picked without replacement from {e: 4, i: 1, d: 2, x: 2, v: 4, b: 1}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbmvo. What is prob of sequence vbo?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 121 (b) 2\/3 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -303267\/16 - -18958. What is the common denominator of x and -121\/6708?\nAnswer: 26832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -92*m**2 + 57*m**2 + 54*m**2 in the form s*m + q*m**2 + a and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 10 = -3*c + w, -14 = -c - 4*w. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c8 (base 14) to base 11.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the third derivative of 3*b**6\/40 + b**4\/12 + b**2. Find the second derivative of f(h) wrt h.\nAnswer: 54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 102*k**2 - 296*k - 188. What is the derivative of o(h) wrt h?\nAnswer: 204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 1\/3 (c) 12 (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*q**2 - 9522502 + 4761253 + 4761249.\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34 + -30412?\nAnswer: -31001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -533.67 - -13.\nAnswer: -520.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**3 + 2*d**2 - 9*d - 30. Let g be q(7). Let j = g - 106. List the prime factors of j.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 9 - 130. Suppose -1863 = 130*z - k*z. Calculate the remainder when z is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 200\/(-40) - (2 + -15). Solve 0 = 6*l - 2*l, -4*s - w = -3*l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 15521961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i = -4*d + 21, -45 = -5*d + 5*i. Let m = 17 - 8. Calculate the greatest common factor of d and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2 + k. Let d be z(1). Suppose -4*c - d*w = 0, w = -4*c - c. Let v = -11 - -9. Is v greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*x**3 + 5 - 2 - 1 - 315*x**3.\nAnswer: -619*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*x**2 - 8*x**2 + 9*x - 9*x + 32*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(4\/362)*-1. Suppose 4*a - 767 = c. Suppose 3*f + 0 - a = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55563 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -2.4. Suppose 0 = -34*v + 51*v + 34. Which is the nearest to x? (a) 0 (b) 0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, -7, 0.2, -1\/5, 2\/3, 9.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/72 and -121\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/20 + (-26)\/(-8). Suppose 4*m + 3*p - 3 = 2, -t*m + p + 7 = 0. Suppose 19 = m*v - 1. What is the greatest common divisor of v and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -716*k**2 - 360*k**2 + 206*k**2 - 872*k**2 + 54*k**2.\nAnswer: -1688*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 1 = 11. Let f(d) = 8*d + 12. Let h be f(n). Let g be 62*21129 - (h - -2 - 0). What is g rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.424 + -0.024. Which is the nearest to -1? (a) -4 (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02069 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 310264*w - 40644592. Give c(131).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1105 and 3485?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n + 2*t = 12*n + 766962, -5*t - 191724 = -n. Is n 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 947072?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27.8 + 2.2. Let h = c - 29.935. Round h to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10359\/5 - -372599\/180. What is the common denominator of -97\/28 and d?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 59, 209, 467, 839, 1331, 1949, 2699, 3587?\n\"Answer: u**3 + 48*u**2 - u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 355*x**2 + 4*x - 9. Let t be m(1). Calculate the greatest common divisor of t and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 8*m + 159. Let p be ((-224)\/24 + 6)*6. Let f be v(p). Sort -2, f, -30 in increasing order.\nAnswer: -30, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -119 + 5?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2689047 nanograms in tonnes?\nAnswer: 0.0000000000000002689047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3*q - 6*k - 134, -k - 4 = 0. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 18*k - 46. Let b be d(-20). Put 4, -3, b in descending order.\nAnswer: 4, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {g: 7, o: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdd when three letters picked without replacement from nnpnfnnennfnnpdndnh?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -697a87?\nAnswer: -697a8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 7*u + 3*u = 18, -2*j = -4*u - 20. Let b be -5*5\/((-75)\/12). Let m be b\/(-8)*1*-6. Solve 0 = j*l + l + m for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1980 divided by -6.\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from tttitttottt.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eew when three letters picked without replacement from {w: 1, e: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1811*x**2\/3 + 266218*x\/9 - 49\/9.\nAnswer: -(x - 49)*(5433*x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913.\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 32, 133, 234?\n\"Answer: 101*t - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -143*w**2 - 122*w - 8. Let l(c) = -428*c**2 - 366*c - 22. Let m(d) = -11*h(d) + 4*l(d). Find the second derivative of m(f) wrt f.\nAnswer: -278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87231 a multiple of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 5*a - 1. Let i(u) = 12. Let b(r) = -i(r) + q(r). Give b(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139079, -278156, -417233?\nAnswer: -556310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 14, -15, -41, -1, -5, -7 in descending order.\nAnswer: 14, 2, -1, -5, -7, -15, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (176\/(-132))\/(4\/9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 + 2 - (-19 + 4 + 13 + -4 - 0).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40757057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -84865, -84904, -84943?\n\"Answer: -39*v - 84826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-18))\/(-2*(-8)\/(-576))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -397 - -400. Let n be -2 + 104\/4 + r. Let v = 10 - -1. Solve -27 = 3*b - f - v, -2*f = -5*b - n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -188*n. Let j(z) be the second derivative of z**4\/3 + 191*z. Calculate j(y(x)).\nAnswer: 141376*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 6*a**2 - 5*a + 1. Let q be o(5). Let g(c) = -c**3 + 2*c - 1. Let y be g(-2). List the prime factors of (-3)\/(q\/((-4)\/y)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 12:42 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q + 4*q - 3*q)*(2 + 0 + 0)*(-4 + 1 + 4)*(-4*q + q + 4*q)*(-5*q - 3*q + 7*q) to the form y*q**2 + c + l*q + x*q**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1190*g + 1209*g - 12198 = 0. What is the remainder when g is divided by 67?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1196 is divided by 162?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 511119 to the power of 1\/2, to the nearest integer?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -538 - 316*b**3 + 538.\nAnswer: -316*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 1:16 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.003 + -0.031.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1576118, -3152231, -4728344, -6304457, -7880570?\nAnswer: -9456683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -41*x + 151 - 268 - 293 = 0 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1535.5 + 1536.3. Which is the smallest value? (a) -7 (b) z (c) 1\/5 (d) -4 (e) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.341 + 0.059. Suppose 0 = -y - 4*y - 25, -2*f - 10 = 4*y. Which is the nearest to u? (a) -1 (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. Suppose -3*c = -s + 8, 2*s + a*c + 2*c = -4. Suppose -2*q + 12 + 0 = 3*l, s*l - 2*q = -2. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 248 divided by -6\nAnswer: -124\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**4 + 2*b - 2*b)*(1 + 10 - 3)*(7 - 7 - 3*b) - 2*b**4 + 2*b**4 - b**5.\nAnswer: 47*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**4\/4 + 8*s**3\/3 - s**2\/2 - 9*s + 5. Let p be u(7). What is the units digit of (0 - p)\/(5\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -26*x**2 - 3*x + 1. Determine l(1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 915 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 126 (b) -0.2 (c) -3\/8 (d) 0.4 (e) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16750 is divided by 31?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + -4 - (1 + -6). Let g(u) = -14*u**3 - 58*u**2 - 13*u - 13. Let m be g(-4). Solve -m*v = -i*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101010100101100101 (base 2) in base 15?\nAnswer: 36a42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 1158757 in increasing order.\nAnswer: 0, 4, 1158757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1910649 is divided by 4563.\nAnswer: 3315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 4*b**2 + b**2 + 5*b**2 - 5*b**2. Let r(d) = d**2. What is c(r(q))?\nAnswer: 5*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.321802 to one decimal place.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -2. What is the first derivative of 0*a**3 + 12 - 9 + u*a**3 wrt a?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 225*c + 224.\nAnswer: (c + 1)*(c + 224)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -509 - -1236. Suppose -3*b - 76 = -m. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1134d (base 15) to base 4\nAnswer: -31113130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4\/4 - 99012*x**3 + 594069*x**2\/2 - 297034*x + 396045\/4 = 0. Calculate x.\nAnswer: 1, 396045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-13309 - -13351) + 1 + -18 + -1\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 49\/5 of a week?\nAnswer: 98784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2743 (base 9) in base 6?\nAnswer: 13320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*n**3 - 208*n**3 + 61*n**3 + 79*n**3.\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -2. Suppose 2*c + 14 = 3*y, 3*y + 22 - 1 = -3*c. Let n = p - c. Calculate the highest common divisor of n and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 517692*d - 22333750572.\nAnswer: -3*(d - 86282)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0*h - 4 = 0. Let m be ((-9)\/h)\/((-2)\/8). Solve -3*p + 18 = -3*o, -4*o + m*o + 20 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -424*a**4*o - 4*a**3*o**2 - a**2*o - 4*a*o**2 - 32*a wrt a.\nAnswer: -10176*a*o - 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3519 - 31721\/9. What is the common denominator of -8\/111 and l?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 640*b**2*w**3 + 2*b**2 - 562*b*w**3 + w**3 wrt b.\nAnswer: 1280*w**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -11*x**3 + 7*x**2 - 5*x - 8. Let a be t(-4). Suppose g = -213 + a. Is g\/2 + (-33)\/66 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -24*j**2 + 21*j - 21. Let w(m) = m**2 - m + 1. Let b(f) = 2*p(f) + 42*w(f). Let z(v) = v. What is z(b(g))?\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*439698.\nAnswer: 879396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f + 2*q = 18*f - 11*f + 4, 15*f = -3*q + 42 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59494769?\nAnswer: 4591, 12959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -3\/5 (c) 99049\/5 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 517350378 to the nearest integer?\nAnswer: 22745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5*22\/(-55) - 33. Is -52 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grrrl. Give prob of picking 1 l and 2 r.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 + -14. Let p = -5 + w. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-18)\/4))\/(-7).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -32, -49, -64, -77, -88?\n\"Answer: a**2 - 20*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + d - 7. Let z be x(3). Suppose 0 = 4*o - j - 86, 122 - 7 = z*o - 5*j. Let c = o - -57. Is 26 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01783 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39919 - 7271 = 1320*y + 110*y for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -12 (b) -0.06 (c) 2\/5 (d) -2 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, 48, 4\/5.\nAnswer: 4\/5, 1.3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 240?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*f + 3*f. Which is the third smallest value? (a) -3 (b) f (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -5*g**6\/6 - 2*g**5 - 5*g**4\/4 + 343. Factor z(d).\nAnswer: -5*d**3*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 3\/4 (b) 28 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-2*(-3)\/(-1842)). Let y = -133 + 245. Let p = o - y. Is 39 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/230 and 25\/15357698?\nAnswer: 76788490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z. Let q(v) = 3*v**2 - 5. Let u(x) = -x + 3. Let m be u(0). Let t(f) = 2*f**2 - 3. Let d(n) = m*q(n) - 5*t(n). Give d(i(l)).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**2 + 6*x + 7. Let d be (10 - 3) + 1 + -3. Give n(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (395\/(-3160))\/((-7)\/(-105))?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47402\/411 + (-10)\/(-6) and 156.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -134129250 by 3375.\nAnswer: -39742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10312145 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -1\/60*l**5 + 0*l**4 + 0 + 0*l**3 + 0*l + 2*l**2. Let q(i) be the first derivative of 4*i**3\/3 - 1. Calculate q(m(c)).\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 90\/(-42) - 434\/(-294). Which is the nearest to -2\/9? (a) z (b) 7 (c) 0.3 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u = 58 + 238. Let n = 70 + u. Let j(i) = -i**3 + 15*i**2 - i - 51. Calculate the remainder when j(14) is divided by n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 46 = -181. Calculate the remainder when h is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -206050*1\nAnswer: -206050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 10*w - 7. Let d be z(-8). Solve -2*q = q - d for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 14 - 4. Suppose m*r = 14 - 0. Suppose 0 = 10*j - r*j - 351. Does 39 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2*(0 + 19680)\/12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -114956.71704 to the nearest integer.\nAnswer: -114957","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -184?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5653360 (base 9) to base 5\nAnswer: 1234444123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 273.42252 months to decades.\nAnswer: 2.278521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 1:52 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14\/6)\/(-4 + (-65)\/(-15)). What are the prime factors of (-885)\/(-105) - 3\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*p + 7*p + 14*p + (2 + 1 - 2)*(-2 + 2 - p) to the form y*p + s and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + (-6 + 9 - -10)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 6*v**3 - 64*v + 2*v**2 + 5*v**3 + 64*v in the form m*v + w + a*v**3 + s*v**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -7*c**6\/120 - 49*c**5\/60 - 187*c**4\/24 - c**3\/2 - 12*c**2 - 86*c. Find the second derivative of z(h) wrt h.\nAnswer: -42*h - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83201 + 211680. Let m = 128479.100033 - c. Let u = m + -0.1. What is u rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -104 + 592. Is 73 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 0*u**4 + 0*u**2 + 1\/5*u**5 - 3*u + 0*u**3 + 4. Differentiate a(t) with respect to t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-2)*(-19)\/914622*-71\nAnswer: -1\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3913 and 62006?\nAnswer: 806078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k - 1. Let i be h(-7). Let v = 585 + -571. Let n = i + v. Calculate the greatest common divisor of n and 243.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.4, 2, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36338 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 85, 599, 1931, 4471, 8609?\n\"Answer: 65*c**3 + 19*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 46\/(-248) + 6\/24. Let j = -0.101 - -1.101. Which is the closest to 0? (a) j (b) 0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t + 13*t**3 + 7*t - t**3 + t**3 + 2*t - 2*t + (0*t**3 - 4*t**3 + 5*t**3)*(3 + 0 - 1).\nAnswer: 15*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1120 - -1119.7. Sort 373, y, 3 in decreasing order.\nAnswer: 373, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 292 + -271. Suppose -2*x + w + 45 = 0, -4*w = 3*x - 66 + 4. Is v >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 19*r**2 - 6*r - 4. What is g(-15)?\nAnswer: -814","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4601641.\nAnswer: 11, 418331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 57394.9257 rounded to the nearest 1000?\nAnswer: 57000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 405*l**3 - 15*l**2 + 20*l - 4. What is the remainder when q(1) is divided by 113?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 17*q**2 + 2*q + 5. What are the prime factors of r(-16)?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/57 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 1:14 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-110)\/3 - (-4)\/6. Let a = n - -97. What are the prime factors of a?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 3*o**2 + 3*o - 2. Let r be d(2). Suppose -2569*f + 2573*f = 20. Solve -5*h = -f*x - r*h + 40, 2*x + h = 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/50*2576\/(-184).\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 703768.1nm to centimeters.\nAnswer: 0.07037681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n - 10. Let s(j) be the first derivative of -2*j**3\/3 - 32. Calculate h(s(b)).\nAnswer: -2*b**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 3)*(-3*h - 6*h + 17*h)*(0 - 10 + 7)*(-3 + 0 + 2).\nAnswer: -72*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 39. Let v be 51\/t - (-2)\/16. Let g = v + 3. Which is smaller: g or -2\/233?\nAnswer: -2\/233","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 2. Let v be x(6). Suppose -4*d = 11 + 5, d = -2*a + 18. Let j = a - v. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -4. Suppose -4*y + 2*v = 0, -8 = -3*y - 4*v + t. Suppose -5*k + 0 + 5 = 0. Calculate the remainder when y is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10589808 by -1323726.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {k: 3, g: 2, w: 13, x: 1}?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*d - 1314 = 4896 for d.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -9*s - 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzss when four letters picked without replacement from {z: 2, s: 7, y: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2744*v + 1 + 2753*v - 1.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**5\/20 - 8*h**4\/3 - 52*h**3\/3 - 12*h**2 + 7637*h. Calculate n(35).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1232123100023 - 231?\nAnswer: 1232123033132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -153 - -380. Let y = 227 - p. Solve -5*n + 4*g - 27 = y, -n - 2*n - 24 = -5*g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2693 - -1691. What is the thousands digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.8 (b) 4 (c) -0.1 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.20554 + 0.10554. Which is the closest to 0.1? (a) 0.1 (b) y (c) 24 (d) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 3*h**2. Let m be k(4). Let s = m + -13. Let y = s + 3. Solve -y*o = -4*o - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-88238)\/(-16) - ((-51)\/24 + 2).\nAnswer: 5, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/27 + (-2596)\/(-2970). Let o = 18.982 + 0.018. Which is the closest to 0.1? (a) w (b) -2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 divided by 4515846\nAnswer: -1\/44273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 1 + (-15 - (1 + -4)). Let k be (4 + g)*(-2)\/4. Solve -26 = -2*f + 4*c, -3*f = 2*c - k - 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4 = 5. Let n be (1 + -2)\/(o\/27). Let y be -2 - (n + (-12)\/(-4)). Calculate the highest common divisor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.14, -6, 3\/10, 3 in descending order.\nAnswer: 3, 3\/10, -0.14, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-242))\/((-318)\/3498)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**0)**(-25)\/(k**(-3)*k**(5\/3)*k*k)*((k**(-1))**(2\/175))**20 assuming k is positive.\nAnswer: k**(-2719\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -203, -627, -1439, -2765?\nAnswer: -4731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of -m**3 - 24*m. Let g(c) be the first derivative of c**2 - 1. Calculate g(z(x)).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -15\/2, 4\/5, 0.2, -0.94?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 79 by 1.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 19\/2*s**2 - 1\/3*s**3 + 0 - 3*s. What are the prime factors of w(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39 and 239915.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 0.22526.\nAnswer: 0.090104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 2. Let c(m) = 2*m + t + 0. Let x(j) = -j. Give c(x(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 2)*(-1 - 2 + 4) - 2 + 4 - 1 - 2 + 0 - 1 - 2 - 4 + 4)*(1 - 2*o - 1)*(1 - 4*o - 1).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -966964729 rounded to the nearest one hundred thousand?\nAnswer: -967000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 92\/3 (b) -62 (c) 1\/35 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2126340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 40*m**2 - 12*m + 4. Calculate the remainder when z(-5) is divided by 89.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*w + 1063, 3*j = 3 - 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -335647*i**4 - 27*i - 212 wrt i?\nAnswer: -4027764*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308 + 49 = 3*k. Calculate the remainder when k is divided by 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from nnaninanxaanaqnaian.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 21. Let y = 10 - s. Which is the nearest to 1? (a) 1 (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1346*p - 47*p - 351*p + 1527*p + 51*p + 1038*p.\nAnswer: 3564*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19010, 19084, 19202, 19358, 19546?\n\"Answer: -l**3 + 28*l**2 - 3*l + 18986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, p: 5, k: 5}. What is prob of sequence tpkp?\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1300))*-5.\nAnswer: -50*sqrt(13) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 - 9*i + 4.\nAnswer: (i - 1)*(5*i - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u. Let m(y) = -12 + 0*y**2 + 12 + y**2. Determine j(m(v)).\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -2\/19, 9\/8 in decreasing order.\nAnswer: 5, 9\/8, -2\/19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 119891654 to the power of 1\/4, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -376*k + 100*k - 233*k - 28678 + 11372 = 0 for k.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*y - 38*y = 2*w - 138542, 207815 = 3*w + 5*y. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142126.\nAnswer: 2, 179, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -55*a - 842. What is f(-15)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-585)\/459)\/13*((-48)\/(-40))\/(-1)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r - 5. Let g(n) = n - 3. Let m(j) = j - 4. Let x(y) = -5*g(y) + 4*m(y). Let d(q) = 2*w(q) - 9*x(q). What is the first derivative of d(h) wrt h?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 180 - 50 - 60 + 4987*h - 70 to the form v + j*h and give j.\nAnswer: 4987","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(15\/7)\/(h\/((h\/((h\/(h**(-25)*h))\/h))\/h)))**28 assuming h is positive.\nAnswer: h**(-640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2315 - 2*h - 3*h + 3*h + h.\nAnswer: -h + 2315","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*g - 29 = 5*x, -5*g + 3*x = -25. Suppose -2*s + g*q + 12 = 0, 9 = -3*s + q + 27. Solve 0 = -4*k + 4*u + 4, 2*k - s*k + 1 = -5*u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 588768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -32*r**2 + 32097*r - 1010. Calculate z(1003).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*l + 52*l = -20. Suppose -l*h - 16 = -4, -q = h - 140. What is the highest common factor of 52 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1130591?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 16*b**2 - b + 11. Let j(a) = -a**3 + 15*a**2 + a - 11. Let s(p) = 3*j(p) + 2*x(p). Let r be s(13). Sort -1, -5, r in ascending order.\nAnswer: -5, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, w: 1, o: 1, g: 1, s: 1, n: 6}. What is prob of picking 1 w and 1 o?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-361)\/(-342)*6*(-7 - 4 - -14).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6413463058 to the power of 1\/2, to the nearest integer?\nAnswer: 80084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6325470 + -14977445. Let f = 8651975.3500059 + a. Let m = 0.35 - f. What is m rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -99*j + 89*j + 30. Let r(k) = -k**2 + k**3 - 3*k**2 - k + 7*k**2 - j*k**2 - 1. Let n(l) = 32*l**3 - 34*l - 34. What is 6*n(v) - 204*r(v)?\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15.76 - -0.24. Let z = 32 - 49. Let j = z + a. Is j <= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 31, 81, 161, 277?\nAnswer: 435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43691*z**4 + 83*z**3 + z**2 - 41988*z + 24.\nAnswer: 1048584*z + 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -479929*-17.6\nAnswer: 8446750.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bi when two letters picked without replacement from iiibbii.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 97343 and 9077.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 8 = 5*u, 5*u + 0*b = b - 2. Solve 5*o - f + 5*f - 4 = u, 0 = o - 3*f - 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -874 - -1279. Let h = 72 - 82. Let z be 12\/h*i\/(-6). What is the greatest common divisor of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5\/2 (b) -60 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*p - 1033 + 521 + 512 - 11*p**2 - 166*p to the form h + m*p**2 + t*p and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 6 = 2*g, -x - 4*g = -3*g - 7. Solve 2*l - 4*r - r - 19 = 0, x*r + 7 = l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -167651, -167581, -167399, -167051, -166483, -165641, -164471, -162919?\n\"Answer: 9*q**3 + 2*q**2 + q - 167663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3070978*y**3 + y**2 + 1709518*y wrt y?\nAnswer: -18425868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5628 divided by 1407\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-seven fifths of a decade?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 1:50 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 587*m - 21038 = -77929 - 24115 for m.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18965329\/142 - 133558. Find the common denominator of 10\/12*2*(6 - 2010\/(-100)) and x.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 7, g: 1, w: 2, r: 1, s: 3, t: 4}. What is prob of picking 1 g, 2 w, and 1 s?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**2 + 68013*s - 5286762 = 0.\nAnswer: 78, 22593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1097463?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30016 divided by 19535.\nAnswer: 30016\/19535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0022391 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4933.9993591 + -4934. Round o to five dps.\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.19986 + 0.19986. Do x and -7033 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3820455225802 minus -0.24?\nAnswer: 3820455225802.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-9) - 143\/(-9). Let n be (-2715)\/35 + j\/28. Let i = n + 83. Solve -v = -4*v + i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*y + 260 = 0, 121 = -k + 2*y + 33. What are the prime factors of (-5)\/(k\/12)*12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80491892 divided by -4.\nAnswer: -20122973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 + c**2 - 72*c - 41. Calculate the remainder when t(8) is divided by 128.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 5*t - 115 = 0, 11*w + 30*t + 62 = 34*t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -1.19\nAnswer: 2.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, w: 4, x: 4, s: 3}. Give prob of picking 1 s, 1 w, and 1 x.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)\/(-2*sqrt(9)))\/((sqrt(8)\/sqrt(2))\/sqrt(2)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1647761 (base 10) to base 15\nAnswer: 22835b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y + 6. Suppose 3*u = -u + 32. Let q = 13 - u. Let g be v(q). Do g and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -34*p - 592. Let y(f) = -22*f - 384. Let d(c) = -9*m(c) + 14*y(c). Let u(x) = -13*x. What is u(d(j))?\nAnswer: 26*j + 624","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8\/21 of a week?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 41, 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3589*z**3 + 3604*z**3 - 8618 + 8618.\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, b: 1, t: 1}. Give prob of sequence trb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 170.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23633.1 - 23633. What is the closest to y in 3\/2, 2\/7, -3\/5, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**3 + 50*o**2 - 59*o - 2283. Determine l(-20).\nAnswer: 2897","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j + 3. Let w be c(5). Let r be 112\/(-52) - 1*w. Which is bigger: r or -1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 66?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**3*t*x**2 - f**3 + f**2*t*x - f*t - 155967*t*x**2 + 8800*t*x wrt x.\nAnswer: -4*f**3*t - 311934*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 333731939 to the nearest integer?\nAnswer: 18268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/17965 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 6, q: 2}. Give prob of picking 2 p.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -16935872 divided by -13088?\nAnswer: 1294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 28 - -20\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 798002 to the nearest integer?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1, -3, 4\/7, 164295.\nAnswer: -3, -1, -0.3, 4\/7, 164295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1176\/101 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgbggqrgqz. What is prob of picking 1 g, 1 q, and 1 z?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 42, 63?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**3 + 5*a**2 + a + 3. What is the tens digit of s(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t + 6. Let q be j(-4). Let n(r) = -4*r**3 - 2*r**2 + 2*r + 4. Let g be n(-1). What is the first derivative of -z**3 - g + q + 21*z**3 wrt z?\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.084 * -34168\nAnswer: 2870.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**12)\/(v\/(v\/v**29)) assuming v is positive.\nAnswer: v**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 a factor of 1293035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4589*q + 867353. Give y(-189).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44514453 (base 6) to base 3.\nAnswer: -2112110112120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/2))**31\/((d\/((d\/(d\/((d*d**(-6)*d)\/d)))\/d))\/(d*d*d*d**4))*(d\/d**(2\/7))**(3\/28)\/((d\/(d\/(d\/d**(-1\/3))))\/d*d*d**(-4\/7)\/d*d) assuming d is positive.\nAnswer: d**(8711\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 94? (a) -7 (b) -0.2 (c) -0.4 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((155040\/25)\/(-19))\/(2\/(-300)). Round p to the nearest one thousand.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -41*x - 1. Let l(a) be the third derivative of -a**5\/30 + 2*a**2 + 11. Determine l(c(h)).\nAnswer: -3362*h**2 - 164*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -62 + 63. Let m be x*24\/3 + -4. Solve -k + 5 = m*d + 24, -k = -5*d - 17 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -3*m. What is the derivative of -25 + 27 - 2*s + m*s wrt s?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozopyyabypo. What is prob of sequence oopz?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 310\/40) + (-2)\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21974 - -358. What are the prime factors of r?\nAnswer: 2, 3, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -329, 8, 563, 1336, 2327, 3536?\n\"Answer: 109*g**2 + 10*g - 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 720.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11522120 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: Collect the terms in -40*i + 42*i**2 - 19*i**2 - 17*i**2.\nAnswer: 6*i**2 - 40*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 59, 66, 73, 80, 87?\n\"Answer: 7*q + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8165, -8164, -8169, -8186, -8221, -8280?\n\"Answer: -p**3 + 3*p**2 - p - 8166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/8, -307\/6, 1, 0.06, 2\/39, -1\/8, 23?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -3 (b) -3\/7 (c) -9\/26 (d) -127 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c**2 + c**3 + c + 13*c**2 + 10*c**2 + 10*c**2 to f*c + s*c**3 + q*c**2 + y and give q.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 2*w - 99 = -79, 13*g + 98 = 3*w for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3060 - ((-75)\/11 - (-28)\/(-154))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -21.09. Let k = a + -0.11. Sort 2, k, -2\/11 in decreasing order.\nAnswer: 2, -2\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 991 is divided by 164.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*x = 4*u - 362*x - 16, 6*u - 3*x = 24 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31966965 to the power of 1\/4, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -6011\/358, 1, -4, -5 in increasing order.\nAnswer: -6011\/358, -5, -4, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2825*a**3 + 38*a**2 - 3*a**2 - 38*a**2.\nAnswer: -2825*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 - (-1279)\/(2 + 45\/(-24)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 2697?\nAnswer: 29667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -924303 >= -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (21\/15 + -1)*(-92 - -86)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f - 1. Let k be n(0). Let g(u) = 11*u**2. Calculate the least common multiple of 1 and g(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97 + 19 + 14*k**3 + 83*k**3 - 90*k**3.\nAnswer: 7*k**3 - 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 + 0. Let y = -846.48 + -9.52. Let x = 858 + y. Put 2\/9, m, -1, x in ascending order.\nAnswer: -1, m, 2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 2*x = 246, -t - 3*t + x + 241 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {d: 2, t: 5, w: 5, h: 3}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -62\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111122002 (base 3) in base 16?\nAnswer: 73b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c + 3*c**2 + 96*c**4 - 4*c**2 + 0*c**2 - 120*c**4 as o*c**3 + y*c + i*c**2 + n*c**4 + z and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -301 and -18417\/61 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21313 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75)*-3 + 1)*1*-1*5)**2.\nAnswer: -750*sqrt(3) + 16900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 221.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*w + 6*w**2 - 1 - w**2 - 9*w**3 - 3*w**2 + 16*w as y + o*w + d*w**3 + h*w**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) -2\/9 (c) -769\/8278\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from gggggggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4*o - 28 = -2*o, 0 = 5*p - 2*o + 20. Let n be ((-15)\/p)\/((-1)\/(-18)). Let d = n - 0. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -237.17 - -237. Which is the closest to 2? (a) 0.4 (b) 1\/7 (c) o (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3189 or 19127\/6?\nAnswer: 19127\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*sqrt(65)*5*-2)\/((3*sqrt(480))\/(sqrt(6) + sqrt(6) + (-1*sqrt(18))\/sqrt(3))).\nAnswer: -25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/29)\/o**(-10))\/(o\/(o**(-2\/31)*o)*o**(-15)))**(-19) assuming o is positive.\nAnswer: o**(-427101\/899)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 77085889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 242022813.\nAnswer: 3, 23, 73, 48049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 202303113 + 1010?\nAnswer: 202310123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**2 + 2*z - 7*z**2 + 2*z**3 - 3*z**2 + 7*z**2 to the form j*z**3 + r + x*z + h*z**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r**(-8)*r)\/r)*(r**5\/r)\/r)\/(r**(4\/3)\/r**0) assuming r is positive.\nAnswer: r**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -147677928*f*h + 292351*f - 1 wrt h?\nAnswer: -147677928*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*b - p = 3, 2*b = 3*p + 9. Suppose b = -5*u + 15, 2*y - 7*u + 2*u + 7 = 0. Solve -4*z - 1 = -4*o + 19, -3*z = y*o + 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 4*l - l + (4 - 3 + 0)*(l + 3*l - 2*l))*(5 + 0 - 4).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -6*a + 11*a + 108, -4*o = 3*a - 340. Calculate the remainder when o is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -474 = -o + 215. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -102 - -131. Which is the closest to 0? (a) 5 (b) 0.1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 735899450 a multiple of 247?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1434bb - -e?\nAnswer: 1434ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 10 - (6 - 9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 1:27 PM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1757104 or -1757115?\nAnswer: -1757115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*893 + 16\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**4\/9 - 5657*a**3\/9 - 8755496*a**2\/9 - 2083460368*a\/9 - 230523392 = 0.\nAnswer: -2684, -288, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j**3 + j**2 - j. Let n be o(1). Suppose 2*r - n*b - 8 = 6, 0 = -5*b. What is the second derivative of -3*t + t**5 - r*t + 6*t wrt t?\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -84 (b) 3 (c) -141 (d) 5\/4 (e) -61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -6*x**2 + 24*x + 5. Let r(t) = 3*t**2 - 13*t - 3. What is 4*n(i) + 7*r(i)?\nAnswer: -3*i**2 + 5*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.035 - 24.841. Round z to the nearest integer.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -2*k, 4*k + 8 = w - 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z. Suppose 0 = 2*o - 1 - 3. Let y = -6 + 8. Let u(q) = 2*q**2 + 6*q**y - 4*q**o - q**2. Calculate u(c(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -2*h**3\/15 + 31*h**2\/5 + 132*h\/5 + 3737. Suppose r(f) = 0. Calculate f.\nAnswer: -2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*i - 28 + 28 + (0 + i + 0)*(1 + 0 - 2))*(-4864 + 4864 - 451*i**2) to the form j*i**2 + p*i**3 + n*i + a and give p.\nAnswer: -1804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/339216 and 49\/22538.\nAnswer: 20013744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**2 + 7*p + 4. Let s be z(-6). Let j = s + -20. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 137 - 9?\nAnswer: 12c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o. Let f(v) = 6*v + 1. Let q(z) = -2*d(z) + f(z). Suppose 6 = 5*t - 4. Let u be q(t). Solve -3*g + 0*g = u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28954 divided by -467.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, c: 3, r: 6, n: 2, p: 1, v: 5}. What is prob of sequence nvrc?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5\/3756738?\nAnswer: -5\/3756738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (30\/(-2 + -1))\/(-2). Suppose -5 = -f*v, 5*o + 3*v - 34 = -v. Let l(j) = -j**3 + 5*j**2 + 6*j - 4. Let u be l(o). Which is bigger: u or -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 3:57 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/22517 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*2\/(-28))\/(((-2574)\/91)\/22).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 2 - 21) + 8 - 18?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -370319?\nAnswer: 13\/370319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + (sqrt(98) - (-5*(-2 + sqrt(98)))**2) + 2).\nAnswer: -10176 + 2828*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - -6. Let s = 15 + n. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(56) - sqrt(280)\/((sqrt(5) - sqrt(10)\/sqrt(2)) + sqrt(5)))\/(6*(sqrt(32) - sqrt(8)) - sqrt(8) - sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 894 and 204?\nAnswer: 30396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 261 and 186858.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-20)*(3293\/740)\/(-89)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lglleellelllellelte. Give prob of sequence gllt.\nAnswer: 55\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0941 + -3.0941. Let k = 0.06 + 0.24. Let m = 0.1 - -0.4. What is the closest to k in 1\/8, b, m?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4171, 16652, 37387, 66322, 103403?\n\"Answer: -9*g**3 + 4181*g**2 + g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 1, 87, -1, -9 in decreasing order.\nAnswer: 87, 5, 1, -1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 21757, 21755, 21751, 21745, 21737, 21727?\n\"Answer: -i**2 + i + 21757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2021*a**3*q**3 - 2*a**2*q + 3*a*q**3 - q wrt a?\nAnswer: -12126*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 13 + 8)*(-2 - t + 2)*(-1 - 5 + 5) as l + o*t and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1427\/44 - -129\/4. Which is the third biggest value? (a) 10 (b) f (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, v: 2, l: 1, d: 1}. What is prob of picking 1 q, 1 l, and 1 d?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45708 is divided by 556?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -127\/125005 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -74*k**4 + 8*k**3 + 587*k**2 - 2*k?\nAnswer: -1776*k + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, f: 2, b: 6}. What is prob of picking 1 f and 2 j?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -10 + (-9 - -55).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9, -19, 0.2, -0.15, 1\/4, -2\/3?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 3690427?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjdjjjdjjjd. Give prob of sequence jjjj.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/4 and -27\/11191?\nAnswer: 44764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f - 18*f - 17 = 0. Which is greater: f or 16?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -8 - ((1 - -3) + 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17933 - 9791. What are the prime factors of f?\nAnswer: 2, 3, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -185.27631 to the nearest 10.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 883 - 614. Let x = g + 35. Suppose 158 = 4*b + k, -2*b + 20*k - 17*k = -58. What is the highest common factor of b and x?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 8*l**2 + l + 6. Let g be r(-8). Let k(y) = 16*y**2 - 3*y - 4. Is k(g) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1445 and 238.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -5\/2, 7\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3590676.\nAnswer: 2, 3, 33247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, -26, -134, -350, -710, -1250, -2006, -3014?\nAnswer: -4310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8 - (-4)\/(20\/15). Let q = 1705\/4 - 426. What is the nearest to q in 5, -3, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2. Suppose 5*g - 11 = -3*i, -3*g + 2*i - 3*i = -5. Let k = 6 + -3. Let w(a) = 0 - 16*a + 23*a - 6*a + 1. Give g*f(l) + k*w(l).\nAnswer: 3*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 + 34. Suppose 0*q - 2*q + 20 = n. Let a(v) = 6*v**2 - 2*v. What is the remainder when a(-2) is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6239679 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 + 2262*c**2 + 2495*c**2 - 6998*c**2 + 2241*c**2.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 267633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 25, 19 in ascending order.\nAnswer: -6, 19, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 521799 by 3.\nAnswer: 173933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289490.\nAnswer: 2, 5, 28949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 155 - 101. Is v != 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -38*d + 225. Let v be l(6). Put v, 0.3, -2, -1\/2 in ascending order.\nAnswer: v, -2, -1\/2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, e: 1, j: 5, s: 1, g: 2}. Give prob of sequence sjjg.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 2*l - 8. Let b(t) = -2*t + 2. Let o(y) = a(y) + 2*b(y). Suppose 0 = 3*z - 2*z - 3*r + 3, 0 = -z + r + 1. Let q be o(z). Is q >= 3\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-33) - 85\/(-11) - 354\/42?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-2 - -4) - 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a factor of 690605050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h - h**2 - 5*h**2 + 5*h**2 - 3 - 2*h**3 + 3*h**2. Let b be z(2). Let f(c) = 5*c**2 + 3*c. Let o(i) = 3*i**2 + 2*i. Determine b*f(q) + 8*o(q).\nAnswer: -q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1. Let t(p) be the first derivative of -39*p**2 - 4*p - 10. Let l(i) = t(i) - 5*z(i). Is l(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b6 (base 12) to base 3.\nAnswer: -210010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.06774 millennia in decades?\nAnswer: 3506.774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47)\/42 + 2\/7 + 52440\/61200?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 - 0.15. Let g = m + 0. What is the nearest to g in -2\/13, 2, -0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -153, -1130, -3801, -9012, -17609, -30438, -48345, -72176?\nAnswer: -102777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.073 - 1.073. What is the second biggest value in i, -9, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32503483?\nAnswer: 32503483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 167126563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5600611 a multiple of 281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**3 - 4*k**2 + 7. Let n(x) = -x**3 + 1. Let v be n(1). Suppose 5*c = -v*c + 15. What are the prime factors of h(c)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 - -67.1. What is b rounded to 1 dp?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/((2 + 2)\/(-2)). Suppose -v*s + 18 = -2. What is the third derivative of 4*k**2 + 0*k**4 - 5*k**2 + 2*k**s + 0*k**4 wrt k?\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddrkdthdttdtrtd. What is prob of sequence krdd?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -5, 1, 15276 in ascending order.\nAnswer: -56, -5, 1, 15276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 AM and 12:12 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m = -6*m + 594. Let k = 133 + m. Calculate the remainder when k is divided by ((-24)\/(-9))\/(1\/15).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*4*(6*1*sqrt(475) - sqrt(475) - (sqrt(475) + ((-1 + (1*sqrt(475) - sqrt(475)) + sqrt(475) + sqrt(475))**2 - sqrt(475))))*-2*4.\nAnswer: -7200*sqrt(19) + 304160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*19\/10 - (-72 + 68). Let d be (-4 + 0)*3\/(-22). Let r = 18 + -88\/5. What is the third smallest value in r, i, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -16, 11, 56, 119, 200, 299?\n\"Answer: 9*l**2 - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 282, 1184, 2700, 4836, 7598, 10992?\n\"Answer: l**3 + 301*l**2 - 8*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {v: 1, q: 1, y: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -13, 6, 264, 3 in ascending order.\nAnswer: -13, -1, 3, 4, 6, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-480774)\/(-40))\/((-16)\/(-64)) - (-58)\/(-145) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2 + 8*i - 1 + 1 - 1. Let q(z) = z**3 + 4*z**2 + 4*z + 2. Let p be q(-3). Let w be ((-2)\/(-10))\/((-60)\/(-50) + p). Determine t(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 631530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 5*k - 1. Let f be q(3). Suppose f*i - 1309 = -t - 3*t, -t = -4*i - 343. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21*z**4 - 2*z**3 + 3*z**2 + 2704*z.\nAnswer: -504*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -74023515772 + -8.5?\nAnswer: -74023515780.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -16 (b) 13\/4 (c) -4 (d) 0 (e) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7262 or 7273?\nAnswer: 7273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(392)*-2 + sqrt(392)).\nAnswer: -sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 1200 + 1220 = 2*x, 0 = -4*x - 5*t + 36 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -89, -137, -223, -359, -557, -829?\nAnswer: -1187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3 + 7. Let w be b\/14 + 27\/(-21). Sort -0.1, w, -2\/9 in increasing order.\nAnswer: w, -2\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/55 and 87\/130.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in 112, 4024, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 24*k. Let h(l) = 5*l**2 + 12792*l - 12792*l. Give r(h(g)).\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2341.8 - 2342. Let l = -18.9 - -21. Let h = -2 + l. What is the nearest to j in -3, 6\/11, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = b - 3, -3*b + 9 = -2*a + 1. Solve 0*y = -b*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/16 - (-21)\/4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12, -16, -20?\n\"Answer: -4*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 81*j**4\/2 - j**3\/3 - j**2\/2 + 2*j + 27. What is the units digit of x(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-14)\/6*(-108)\/1638)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (-11)\/(-1)*-2. Let b = v - -18. Let q = 33 + b. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 + 3*c - 47. Let i(y) = 2*y**2 + 3*y - 46. Let h(m) = -2*i(m) + 3*v(m). Let t be h(-6). Solve -10 = -t*x - 3*o, x + x + 5 = -3*o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30850 (base 9) in base 7?\nAnswer: -113256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 686?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.026 + -2.06. Round z to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o + 3. Let a be z(9). Let q = -45 + a. Solve 8*t - 20 = q*t - 5*v, -3*t - 4*v + 16 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9a8 - 4?\nAnswer: -9ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 20 = -2*t. Suppose -4*k - 24 = -4*l, -l + 3*l + 2*k = -4. Find the second derivative of 3*u**t + 2 - u**5 + l*u - 2 wrt u.\nAnswer: 40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 36 - 11. Let r(j) = 5*j + 2. Let o be r(z). Let u be o\/12 - (-3)\/4. Put 1, u, 5 in descending order.\nAnswer: 5, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 336.004 rounded to the nearest ten?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526211?\nAnswer: 7, 10739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -12. Let q(b) = -b**2 - 17*b + 62. Let g be q(-20). Let f be 3\/5 + 17*g\/10. Solve x*d = f*w + 20, 0 = 4*d + 4*w + 11 + 9 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**4\/12 - 5*h**3\/2 + 10*h**2 + 73*h - 2. Give n(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7342197 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 242\/943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -12*p + 204. Let c(n) = -46*n + 109. Let s be c(2). Calculate the greatest common divisor of s and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1152 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 15*k**2 + 17*k - 14. Let y = -774 - -790. Calculate w(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 48\/5 of a decade?\nAnswer: 1152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24363 + -9115. What are the prime factors of n?\nAnswer: 2, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196999 is divided by 144.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*6*(sqrt(637) + -1 + sqrt(637)) - (sqrt(13) + sqrt(13) + -1 + 2 - (sqrt(1573) + (sqrt(1573) - 3*sqrt(1573)))**2).\nAnswer: -86*sqrt(13) + 1578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 45 + 6898*b - 6898*b + 644 - 262 + 631.\nAnswer: -b**2 + 1058","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = 13*r - 51, 5*a + 5 + 7 = 27 - 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 482.35914 nanoseconds?\nAnswer: 0.00000000013398865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*h - 15 = -3*h, -3*m + 3 = 5*h. Let b be (2\/m)\/(8\/144). Let z = 6 + b. What is the least common multiple of z and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**4\/4 + 727307*s**3\/2 - 176325278634*s**2 + 56996911217584117*s\/2 - 113993117135508311\/4.\nAnswer: -(s - 484871)**3*(s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 5659357 greater than 5659374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.0077 * -125\nAnswer: -0.9625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37507345 and 8.\nAnswer: 300058760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 4, 1, -8, -8515 in descending order.\nAnswer: 4, 1, -8, -19, -8515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**2. Let s(u) be the third derivative of u**4\/24 - 3*u**3\/2 + 43*u**2. What is s(w(h))?\nAnswer: -4*h**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uukkukkkukukkkkkkkk. Give prob of sequence uuk.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 11\/45*h**6 - 2\/9*h**3 + 0 + 1\/18*h**4 + 0*h**2 + 11\/30*h**5 + 3*h + 1\/21*h**7. Let c(o) = 0. Calculate o.\nAnswer: -2, -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10590)\/(-4200)*-28 - -76?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4338189?\nAnswer: 3, 482021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 0*y + 5*y)*(0 + 6 - 4) - 3*y + 2*y + 0*y + 5*y + 8*y - 6*y + (y + 1 - 1)*(1 - 2 + 2).\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67297326 is divided by 2117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/130)\/((-20)\/(-52) + 0).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 241 + 46?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.8629 rounded to the nearest integer?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 39595*u - 2924553. Determine a(-74).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110 - 221221201?\nAnswer: -222000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(792)*1*1)\/((sqrt(1458)\/sqrt(9) + sqrt(2) + sqrt(2))*-4).\nAnswer: -3*sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/(-16) + (10\/(-4) - 0). Let h be 0*l\/16*-2. Solve h*v + 20 = -4*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.35, -6, 44 in decreasing order.\nAnswer: 44, 0.35, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((10\/3)\/(-5))\/(2\/9). Is 10 a factor of ((-300)\/40)\/(h\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1513 - -1761. What is the smallest common multiple of 62 and l?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 3:27 PM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 - 27. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 42*v**2 + 3*v - 48*v**2 - 2*v. Let r(c) = -c**2 - 7*c + 1. Let a(g) = g**3 - 6*g**2 + 6*g - 12. Let i be a(5). Let x be r(i). What is y(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 184*u**2 - u - 1. Let j be w(-1). Let h = j - 1285\/7. Is 1\/2 <= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*(((sqrt(200) + (sqrt(200) - -1*sqrt(200)))*2)**2 - -1*sqrt(6)\/(sqrt(3) + sqrt(75) - sqrt(3))).\nAnswer: sqrt(2) + 36000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 4, -1\/2, 0.03234?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1790986*t + 334990*t - 134033*t - 308230*t.\nAnswer: -1898259*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2482?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -463, -470, -481, -496, -515?\n\"Answer: -2*j**2 - j - 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 2 + 4)*(-u**2 + 12*u - 12*u) as o*u**2 + d*u + f and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07*-300883.\nAnswer: -21061.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 29\/7?\nAnswer: 29\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -3*t + 44. What are the prime factors of t?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -102732 bigger than -102699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499768 is divided by 568?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a + 5. Let g be s(0). Suppose g*c - 4*w - 50 = -9, 4 = -w. Suppose 2*l + 5*o = -15, -o + 0 = c. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -2*y - 3. Solve y = -0*p + p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, -39753, 87 in decreasing order.\nAnswer: 87, 61, -39753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 0*x**4 - 49\/5*x**5 + 0 + 0*x**3 - 27*x + 0*x**2 - 2\/21*x**7 - 28\/15*x**6. Factor o(i).\nAnswer: -4*i**3*(i + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 9 = 2*d, 2*c = -d - 0*d - 4. Let b be 5\/(-15)*c*6. Suppose b*t - 8*t = -30. Solve 0 = 2*x + 3*x + 25, -4*l - x - t = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 5*p + 4. Let a be x(5). Suppose -n + 4*n + 15 = 0, -a*d + 3*n - 17 = 0. Let t = 11 + d. Solve y = -t*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 159, 163, 169, 177, 187?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - -1. Solve 4*c = k*c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111733069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 65772000 to the nearest one million.\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 60\/45 + (-1)\/3. Let x = 2.1 + -2. Which is the biggest value? (a) t (b) x (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 19 + 17 - 175*h.\nAnswer: -175*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5960*o + 6024*o - 1523648 = 0. What is the thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 37 - 559)*(-3*f**2 + 3*f**2 + f**2).\nAnswer: -527*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 66615*0.4\nAnswer: 26646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57176.87 milligrams to nanograms.\nAnswer: 57176870000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, j: 2, w: 10}. What is prob of picking 3 w and 1 n?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - f - 375, 4*f = -3*w - 2*w + 918. Suppose a - w = -5*l + 2049, -5 = -a. What are the prime factors of 3\/12 - l\/(-8)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3273*t - 47. Let c be b(-5). Suppose 2*y - 2*m - c = -0*y, -4*y + 32634 = -5*m. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.9640683 - -19.9640593. Let b = -0.08 - 17.92. Let y = b + g. What is y rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 894512?\nAnswer: -2683536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 - 7*j + 7. Calculate d(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -5*g**2 + g. Let t be u(1). Let f = t + 6. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 16, -2\/27, 1\/3 in descending order.\nAnswer: 16, 1\/3, -2\/27, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 359064?\nAnswer: 2, 3, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - (35 - 35).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4902*g**3*h**2*x**3 + 1218*g**3*h**2 + 36*g**2*x**3 - 19*g*h**2*x**3 + 881*g*x**3 - h**2 wrt g.\nAnswer: -29412*h**2*x**3 + 7308*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, p: 4}. What is prob of sequence ggp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-2))\/((10\/15)\/2). Let x be (-564)\/z*3\/2. Suppose -x = -3*u + 89. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 519 + 185 = 0. Let d = c - 99. What is the remainder when d is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/3)\/((-1)\/15). Let w = 389 + -391. Let z = -2 + 2.4. What is the third biggest value in z, -4, w, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2. Let b(i) be the first derivative of i**2\/2 + 7. Calculate p(b(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -7 - 404792480\nAnswer: -404792487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/(-20))\/(-486)*4\/6*6.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -78, 0, -3 in decreasing order.\nAnswer: 0, -3, -7, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24715 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * 0.01495552.\nAnswer: -0.0005982208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 74 (b) -5 (c) -0.4 (d) 22\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1689872.\nAnswer: 2, 31, 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**3 + 6*j**2 - 9. Let m(c) = -4*c**3 + 9*c**2 + 6*c + 1. Let f(k) = 3*k**3 - 8*k**2 - 5*k. Let t(u) = -6*f(u) - 5*m(u). Give 3*h(y) - 5*t(y).\nAnswer: -y**3 + 3*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -542, -553, -586, -653, -766?\n\"Answer: -2*n**3 + n**2 - 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 4*v - 12, -17*u - 15 = -22*u - 5*v for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1074 = 3*d - d. Suppose i = -2*i + d. Suppose 4*p = -i - 141. Round p to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 2*b + 17. Let a = 30 + -35. Let n be q(a). Let w(r) = 4*r - 5*r - 1 + 0. Give w(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*y**2 + 436*y**2 - 233*y**2.\nAnswer: 19*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 2 - 4. Sort 3, 4, 0, s.\nAnswer: 0, s, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1744 is divided by 879.\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 453, 2408, 7725, 18084, 35165?\nAnswer: 60648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 228 divided by 3\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (732\/15250)\/(6\/2*(-1)\/5)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 48 + 0*y**2 + y**2 - 48. Let g(v) = -v - 7. What is t(g(k))?\nAnswer: k**2 + 14*k + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -0.3, 1\/9, 3639, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000061248 to six dps.\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 12)*(-5 - (-536)\/112).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 76 = -78 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/11 + 10*q**3\/11 - 2*q**2\/11 - 10*q\/11.\nAnswer: 2*q*(q - 1)*(q + 1)*(q + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4))**33\/(f\/(f\/(f*((f*((f**15\/f)\/f)\/f)\/f*f*f)\/f))*f\/f**(-3)) assuming f is positive.\nAnswer: f**(-150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.06, -1, 2\/7, 0.12, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 65\/10*(-48)\/(-8112). Which is smaller: -4.5 or r?\nAnswer: -4.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 13. Suppose 0*n - 3*n = -4*k - l, n = 3*k + 11. Which is bigger: 2\/15 or n?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -1\/3360*f**8 - 1\/60*f**3 + 1\/300*f**5 - 1\/240*f**4 + 0*f - 69*f**2 + 0 + 1\/600*f**6 - 1\/2100*f**7. Factor n(w).\nAnswer: -(w - 1)**2*(w + 1)**3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -335676.5 to the nearest 10000.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -1350185113059\nAnswer: -1350185113048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 146.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-9))\/((-14)\/12). Suppose 4*j = 15*j + 12*j. Determine o so that c*o**3 + j + 12\/7*o**2 + 18\/7*o = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78206530 is divided by 1089.\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-3 - (3 - -20)) + (-11 - -13).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*-1 - sqrt(156))*3)\/sqrt(12).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -187, -73, 39, 149, 257, 363?\n\"Answer: -m**2 + 117*m - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216 and 5103.\nAnswer: 40824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 + 33291*b.\nAnswer: -3*b*(b - 11097)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5514, 11030, 16546, 22062, 27578?\n\"Answer: 5516*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 446, 443, 440?\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(35\/15 + -3). Solve -5*w + 8 = -p*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1765, -3556, -5417, -7384, -9493?\n\"Answer: -6*x**3 + x**2 - 1752*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 203856661 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 11\/6 (b) -3\/5 (c) 1 (d) 0.036\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 821 = 233. Suppose 0*a = 4*v + 4*a - 1168, 0 = -3*v - 2*a + 874. Let d = v + y. What are the prime factors of d?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 13 = 5*u, -r + 5*u = -3*r + 9. Suppose -w - 4*c = -16, r*c - 18 - 2 = -2*w. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 63 + -37 - (7 + 1 + 0)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 1404\/180 + (-1)\/(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, s: 10, i: 5}. What is prob of picking 1 i, 1 s, and 2 v?\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/2)*y\/(y\/y**(-3))*(y\/(y*(y**(-1\/3)\/y)\/y))**(-50))**(2\/7) assuming y is positive.\nAnswer: y**(-709\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -19*z - 2. Let l(w) = 12*w + 1. Let y(t) = 5*l(t) + 3*r(t). Let s(i) = -6*i + 2. Suppose -8 = -4*d - 60. Determine d*y(h) - 6*s(h).\nAnswer: -3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3625 and 3770?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**8*b)\/((b*b*b\/b**8)\/b) assuming b is positive.\nAnswer: b**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/8 and 3\/152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -61*v - 5. Let z(x) = 71*x + 6. Let m(p) = -6*i(p) - 5*z(p). Let a(k) be the second derivative of -11*k**3\/6 - 8*k. Calculate a(m(o)).\nAnswer: -121*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 3:48 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-19)\/u)\/u)\/(u*u\/(u**14*u)) assuming u is positive.\nAnswer: u**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3020 and -0.10868.\nAnswer: -328.2136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (253\/(-3))\/((-2)\/96*4). Suppose 5*o = -2*i + 498, -o = 4*i + o - r. What are the prime factors of i?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*j**3 - 10*j**3 + 15*j**3 + 13*j**3.\nAnswer: -21*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 1\/2*a**4 + 0 - 1\/20*a**5 - 24*a - 3\/2*a**2 + 2\/3*a**3. Is 13 a factor of c(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1112, -1060, -988, -890, -760, -592, -380, -118?\n\"Answer: x**3 + 4*x**2 + 33*x - 1150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/5 - 46*p**2\/5 + 93*p.\nAnswer: p*(p - 31)*(p - 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/7 + 6\/(-21). Let r be (0 + 0)*(h - 3). Suppose r = 2*v - 19 - 7. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -88*a**3 - 6*a**2 - 21*a - 24. Let q be 1*(0 - (-10)\/8*-4). Is o(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/7)\/((-27)\/819). What is the nearest to -2 in -0.1, 2\/19, j?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**7\/i)*i**(-2\/3))**(5\/7)\/((i\/((i*i**(-3))\/i)*i)**8)**(-5) assuming i is positive.\nAnswer: i**(4115\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 d when two letters picked without replacement from jdndnnjnnjj.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1514047 to the nearest integer?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -8. Let d = 0 + j. Solve 5*q = -d*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from asaaaaaasaa. What is prob of picking 1 a and 1 s?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/26)\/(321\/(-2782))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80921, -323709, -728357, -1294865?\nAnswer: -2023233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1267311055495 from 0.4.\nAnswer: 1267311055495.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*t - 245*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 291*z + 11589. What is the remainder when 433 is divided by h(-39)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 3*j - 16, 5*j = v + 4*v - 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4 + 6*(sqrt(300) + (sqrt(300) - 6*(sqrt(300) - sqrt(300)*2)))\/sqrt(6).\nAnswer: 8 + 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 5*v - 22. Suppose 5 = 4*a + v. Let s be (-1 - 1)*10\/a. What is the second biggest value in s, 1\/2, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -61*x**2 - 4*x + 4. Let m(v) = 4940*v**2 + 325*v - 325. Calculate 4*m(g) + 325*u(g).\nAnswer: -65*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + sqrt(65)*-1*6 + sqrt(65) + sqrt(65) + (sqrt(65) - sqrt(65)*-2*5))\/((-2*sqrt(25)*5)\/sqrt(5)))**2.\nAnswer: 208\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 + 13*j - 19. Determine g(-11).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -14*n + 674 - 9*n - 689 + n. Is l(-6) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1616988*h*z + 6178687*h wrt z?\nAnswer: -1616988*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 4:05 PM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 498*q - 11*q = 3963206. Is 30 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/13 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 + -28. What is the least common multiple of w and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247841 is divided by 247833?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -13\/4 (b) -1\/4 (c) -3\/31 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2. Let v(x) = -5*x**2 + 5*x**2 - x**2. Calculate v(h(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -694*a - 30 = -700*a. Let z be a*14*126\/135. Let -1\/3*y**2 + 28\/3*y - z = 0. What is y?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -30. Suppose a*r = 7*r - 20. What is the third derivative of 15*s**r - 20*s**2 + 7*s**5 - 33*s**5 wrt s?\nAnswer: -660*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 1500 = -4*a - 1701, 15*a - 4*w = 179 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2923275, 2923274, 2923273, 2923272, 2923271, 2923270?\n\"Answer: -f + 2923276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 2 + 0\/1. Let b = u - -10. Let c be (3*-1)\/(6\/(-4)). Solve c*t = 4*t + b for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11800 - -11804. What is the closest to -3 in 3, h, -3\/91?\nAnswer: -3\/91","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*y + y - 17, -5*y + 20 = 0. Let j = -7 + p. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 - 4 - n**5 - 24*n**3 - 18*n**3 + 4 + 10*n**2 - 4*n**3 wrt n?\nAnswer: -60*n**2 - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107468?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4572 and 52578?\nAnswer: 105156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 124 + -2a?\nAnswer: d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 + 36*n - 172. Let b be d(4). Let h = -202 + 202. Solve 5*u + h + b = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2544 - -12.7456. Which is the biggest value? (a) 0.5 (b) 2 (c) x (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + -0.1. Let v(a) = -a**3 - 7*a**2 + 6*a - 13. Let k be v(-8). What is the closest to n in -1, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -7. Let g be (-6 + i\/(-12))*2. Let z(s) be the third derivative of -s**5\/60 - 5*s**4\/12 + 2*s**3 - s**2. What is z(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 518729 + -3?\nAnswer: 518726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 79*l**3*u + 4*l**2*u + 13*l**2 wrt l?\nAnswer: 474*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 + 365454*j**3 - 2 + 2 - 730928*j**3 + 5*j**2 + 365471*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17757683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-59)\/118 - 175\/2. Let t be b\/(-10) + 16\/(-20). Let o(n) = 3*n - 4. What is o(t)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*w - 90*w + 35 = -5*j, 4*w = -11*j - 17 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 269, 0, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 24*g - 21*g + 16 = 0, -2*c - 4*g = -2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 95\/(-20) + (-5)\/4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1746 and 1755700.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 453*z + 305*z - 127*z.\nAnswer: 631*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22887.9 + -22888. Which is the nearest to i? (a) -0.2 (b) -2 (c) -16\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 10) in base 16?\nAnswer: f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**3 - 159*d**2 + 316*d - 156. Let m(k) = -k**3 + k - 1. Let f(r) = 5*m(r) + o(r). Factor f(j).\nAnswer: -(j - 1)**2*(j + 161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1109598, 1109599, 1109600, 1109601, 1109602, 1109603?\n\"Answer: k + 1109597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -341.\nAnswer: -340.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112 - -13033022?\nAnswer: 13033200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198775 is divided by 328.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0*r)\/r*r**(-1\/4))\/((r**(-1)*r)\/r)**(2\/7) assuming r is positive.\nAnswer: r**(1\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 40424 + -5?\nAnswer: 40419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -17+11751\nAnswer: 11734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22840698?\nAnswer: 2, 3, 19, 200357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96 - 38. Let g = t + -72. Let o be 56\/2 + g\/(42\/(-6)). What is the greatest common divisor of 20 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 347 and -245112412.\nAnswer: -245112065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 x, and 1 a when three letters picked without replacement from xrvaaaaxa?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.583 times -10377?\nAnswer: -6049.791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18, 116.7, 2, -5?\nAnswer: 116.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 3763.688234?\nAnswer: -3762.688234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 13 - 2 = 0. Suppose 3*o = -2*p + 29 + 18, -37 = -3*o - 4*p. Let x be (0\/h - -2) + o. Solve 5*f - 2*r - x = 0, -27 = -0*f - 5*f - r for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -12a7558?\nAnswer: 12a7554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -203, -212, -221, -230?\n\"Answer: -9*c - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 137.\nAnswer: -4\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + 46\/(-6))\/(2\/(-34)). Let l = -45 + s. Suppose 4*v - 3*v - 5*c + 7 = 0, 4*v = -c - 7. What is the nearest to l in v, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2119\/2 + 1084. Let n = b + -24. What is the nearest to 0.1 in n, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 15 + 12*j**2 - 16 - 15*j**2. Let g(p) = -2*p**2 - 1. Let l(r) = -3*g(r) + 3*o(r). Let d(k) = 24*k**2 + 1. Calculate d(l(u)).\nAnswer: 216*u**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f**3 - 4141*f - f**3 + 4141*f.\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3918 = -46*f + 4240 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 1335*m**8\/56 - 7*m**4\/12 - 8*m**3\/3 - m**2 - 34*m - 29. Find the third derivative of b(l) wrt l.\nAnswer: 160200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3334 + -156. What are the prime factors of s?\nAnswer: 2, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**3\/3 - 263*f. Let t(b) = 132*b**2. Determine t(u(p)).\nAnswer: 528*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1536, -2770, -3686, -4284?\nAnswer: -4564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m + 8. Let v(j) = 29*j - 32. Give 9*t(x) + 2*v(x).\nAnswer: -5*x + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -45. Calculate the greatest common divisor of 13 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2724 is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 5086224.9 minutes?\nAnswer: 3532.100625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t - 15. Let p(i) = i - 8. Let v(f) = -2*a(f) + 5*p(f). Let n be v(-4). Which is smaller: n or -5\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/13, 5, -4\/5, 0?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9\/58 - 1\/754. Suppose c = 2*c. Suppose 7*i + 7 = -c*i. Sort -3, q, i.\nAnswer: -3, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6178 is divided by 2498?\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 777 divided by 2\nAnswer: 777\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -462*a**3*x*z**2 - a**3*x*z + 7646*a**3*z**2 + 8*a**3*z - 27*a*x + 8*a - 2 wrt z.\nAnswer: -924*a**3*x + 15292*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 m when three letters picked without replacement from {g: 2, v: 4, m: 2, a: 12}?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 9*n - 1161. 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 0.0817177141 rounded to 4 decimal places?\nAnswer: 0.0817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 12 - (-183 + 177)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10111.\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m - 1. Let f be ((-9)\/(-3))\/((-2)\/(-2)). Let n be r(f). Suppose -n*w = -8*w + 12. Solve w*s + 12 = 6*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-5) + (-42)\/(-10). Suppose -3*c - g + 0*g = -8, -m*c - 4*g = 0. Suppose 4*k + 0*z - 38 = -2*z, -3*z = c*k - 33. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 + -40. Let y be 40*((-48)\/10)\/f. Suppose -5*c = -447 + y. What are the prime factors of c?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 8)*(82*k - 10*k + 49*k + (-3 + 5 - 3)*(2*k - 3*k - k)).\nAnswer: 738*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = 18*u - 156 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10008*u + 0 + 10026*u + 7)*(-2*u + u**2 + 2*u) as g*u + f*u**3 + l + o*u**2 and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3\/4, 141.2 in ascending order.\nAnswer: -3, -3\/4, 141.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 183\/(-45) - (-19)\/285. Sort -0.8, -5, o in increasing order.\nAnswer: -5, o, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5063*m**3 + 9*m**2 - 8*m + 22. Let d be c(5). Suppose 44*y + 18*y = d. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 g when three letters picked without replacement from {g: 7, w: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwemwwwewwm. What is prob of sequence wwe?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111597 + 9*v - 223529 + 111932.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 3*r + 20. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2573.9 - -2574.3. Sort 0.03101, -0.4, s.\nAnswer: -0.4, 0.03101, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 3:55 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-898)\/132006)\/((-2)\/(-6)).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 4:01 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26471060 and 15785?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 9*t + 30. Let p be 5 - (t - -6) - 2*1. Solve 0 = p*u + 6 - 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200 (base 3) to base 13\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 145391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, 12, 40, 70, 102, 136, 172?\nAnswer: 210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15086*g - 14921*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 3842*m**5\/5 + 950*m**2 - m - 913. What is the second derivative of c(j) wrt j?\nAnswer: 46104*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, v: 1, i: 3, m: 1, s: 1}. What is prob of sequence iivi?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10 - 148\/14 - 174543\/(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 28 = 4*t - 184, 4*t - 140 = v. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 2*i = -8587 + 8591, -2*c - 1 = -3*i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i - 1 + i + 0. What is t(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3410 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**3*(x**(-9)*x)\/x)\/(((x**(1\/6)\/x)\/x)\/(x*(x\/x**(-3\/4))\/x)))\/(x*x**9*x*x**10)**(-9\/4) assuming x is positive.\nAnswer: x**(239\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5049 + -5044. Solve 0 = q*s + 42*s + 188 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1479, 2960, 4455, 5970, 7511, 9084, 10695?\nAnswer: 12350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2183?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-60)\/(-14) + (-8)\/(30 + -13 - 15). Let q = -14\/45 + 1\/5. Put q, 5, -17, o in increasing order.\nAnswer: -17, q, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1683616 to the power of 1\/2, to the nearest integer?\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198 = -3338*h + 3371*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11956247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -197*i**2 + 90*i**2 + 122 + 112*i**2 in the form p*i**2 + q*i + o and give o.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a - a60?\nAnswer: -a6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 + 113 = 8*c. Suppose 2059 = -c*r + 31*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -607, -1229, -1861, -2503, -3155, -3817, -4489?\nAnswer: -5171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 5, -23 in decreasing order.\nAnswer: 5, 3, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 383777 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: What is the nearest to -4 in 5, -0.0986, -2, -0.4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c**(-1\/13)\/c*c)*((c*c*c**(19\/5)*c)\/c)\/c assuming c is positive.\nAnswer: c**(382\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 0.4, -219, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3248*g - 15123. What is f(-5)?\nAnswer: 1117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -20854*h**2 + 2*h + 37427 wrt h.\nAnswer: -41708*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1862 - 13384 = -4*o + 2*s, 5 = -5*s. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 13) to base 3\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**7*b*b\/b**(-8)*b**(-9)*b**(-7\/3) assuming b is positive.\nAnswer: b**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -4*f**3 - 3*f**2 - 3*f - 3. Let x be v(-2). Suppose 6*b - x = 5*b. Let a = b - 7. What is the greatest common factor of a and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 5*i - 8*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 25795 + 10035 = 0. Round z to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-17)\/(-51))\/(70\/(-180)))\/(4\/56)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**2 + 284*o\/5 + 48 = 0.\nAnswer: -4\/5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43701798.\nAnswer: 2, 3, 7, 17, 97, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-104)\/(-5))\/(18 + 1 + ((-3393)\/65 - -33))\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 0 - 3) + -5\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 173, 177, 183, 191, 201, 213, 227?\n\"Answer: d**2 + d + 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(190)*2)\/sqrt(10).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 - 5 = 0, -n + 1 = -f. Solve f*b + 3 = 2*d + d, -b = d + 9 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 - 2*n. Suppose 0*y = 3*y - 9. Let c be z(y). Find the third derivative of -2*v**2 - v**c + 6*v**3 - 4*v**3 wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3149708 = -321*o + 1488100. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 0 + -1 + 6*(-8)\/32*-7366?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465484 is divided by 883.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 3802.6 and -0.02.\nAnswer: 3802.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.2539 equal to -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.323199 to 3 dps.\nAnswer: -20.323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 283, 453, 635, 829?\n\"Answer: 6*f**2 + 152*f + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78420 + 132982. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14807, 29612, 44411, 59204, 73991, 88772, 103547?\nAnswer: 118316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, s: 6, p: 8, l: 1}. Give prob of sequence ppss.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108107828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.1 - 0.1. Let j be (1 + (-683)\/(-212))*(-52)\/(-1430). Let t = -3\/106 - j. Which is the nearest to -2? (a) s (b) t (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*y = -188 + 1178. Calculate the highest common factor of y and 1470.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20608976 to the nearest integer?\nAnswer: 4540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -224719, -224677, -224639, -224605, -224575?\nAnswer: -224549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/15*5 + (2 - -3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8768 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -721 = 58*u - 2461. Solve -13*a - u = -3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 + 16 - 29)*(4*b**3 - 2*b**3 - 3*b**3).\nAnswer: -17*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4.9 times -4\nAnswer: -19.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/((-14)\/10 + 1). Let c be 8\/10*(b + 0). Solve 0 = -c*z + 3*z - 5*d - 19, 0 = 3*z + 3*d + 21 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/7, -0.3, -5\/2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -24*q + 21. Let k(f) = f - 1. Let j(w) = 42*k(w) + 2*y(w). What are the prime factors of j(-8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 14 = 3*t. Suppose 2*k - t = -2. Let d = 16 + -12. Calculate the remainder when k is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 18*j**2 - 19*j + 3. Let g be x(-19). Suppose g*r + 16 = 7*r. Suppose 0 = r*v - 244 + 84. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 201 - 146. Let c be 340\/v - (5 + 0). Which is bigger: c or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 9*c**2. Suppose -3*o - 2*o + 4*w = 8, 2*o - 6 = -3*w. Let l(u) be the second derivative of 2*u + o*u**3 + 1\/12*u**4 + 0*u**2 + 0. Calculate a(l(i)).\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -200, -673, -1596, -3119, -5392, -8565, -12788?\nAnswer: -18211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -19*z**3\/3 - 180. Let p(t) = -16*t**2. What is l(p(j))?\nAnswer: -4864*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -66 + 0 + (42 - (-25 + 52))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of 0*c**3 + 3\/35*c**6 - 11\/735*c**7 + 0*c - 8\/105*c**5 + 1\/1176*c**8 - 16\/21*c**4 + 0 + 101*c**2. Find u such that m(u) = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 443931?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27388, -54634, -81880, -109126?\n\"Answer: -27246*p - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -15081401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11142 and 576?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17128255 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 132\/23 + -1222\/253. Let r = -9\/22 + l. Factor -r*h + 1\/4 + 1\/4*h**2.\nAnswer: (h - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((-2 - 3) + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1051 + 337 + 321)*(2*r**3 + r**2 - r**2) to z*r**3 + d*r**2 + v + n*r and give z.\nAnswer: -786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**6)**35)**(1\/18) assuming q is positive.\nAnswer: q**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 44\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-30)\/(-4))\/(-3)*(-96)\/30. List the prime factors of -5*(-156)\/d*2.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7263)\/24210)\/(2\/50)*8\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**2 + 9 - 3*l**3 + 4*l + 2*l**3 + 2 - 4. Let a be (2 - 2 - 1)*-5. What is d(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*f**4*l - 44756*f**3*l - f**2*l - f*l + 36375094*f + 5*l wrt f?\nAnswer: 96*f**2*l - 268536*f*l - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 17550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 168*h**4 + 27*h - 339. Let u(b) = -13*b**4 - 2*b + 26. Let y(l) = -2*o(l) - 27*u(l). Differentiate y(v) wrt v.\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1951005667 to the power of 1\/5, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, -871, -3, -2, -13 in increasing order.\nAnswer: -871, -13, -5, -3, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5*g**4 - 8020*g**3 + 3112625*g**2 - 371144670*g + 4019272920 = 0?\nAnswer: 12, 247, 1098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 + 70 - (98\/18 + 0).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 408398538.\nAnswer: 2, 3, 61, 1115843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**5\/30 + s**4\/24 + 2*s**3\/3 - 3*s**2. Let y be k(-2). Let z = y - -3. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 - 136*p**2 + 18 + 57.\nAnswer: -136*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1044112424 (base 6) to base 2.\nAnswer: 101011011101101011000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 0*c + 5*p - 10 = 0, c - 3*p = 6. Let h be (0 - c)*(-2 + 1). Suppose -h*g = -4*v + 94 + 93, 0 = -v - g + 45. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = x + 4*p - 9*p, -2*x = 3*p - 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - (-3 + 12))*26\/(-117). Let g(u) be the first derivative of 2\/21*u**3 - 9 + 0*u**y - 2\/7*u. What is l in g(l) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0*p + 0*p + 0*p + 3*p - p + 2*p + 0*p - 12*p + (3 - 1 - 1)*(5 + p - 5) + (-3*p + 0*p + 5*p)*(-4 + 2 + 1))*(p**4 + p - p).\nAnswer: -10*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-27)*(-4)\/((-16)\/(-12)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15068 is divided by 3827.\nAnswer: 3587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 3)*(-55 - 39 - 28*v + 30*v).\nAnswer: -4*v + 188","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -63407 - 3?\nAnswer: -6340a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6448108773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*o - 199*o - 15519 = 0. Suppose 9913 - o = 8*m. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 7:25 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/204 and -181\/17220.\nAnswer: 292740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-5)*(-7 + -8)\/(-60).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 338*w = 327*w + 66 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 + 1384505*w + 1384500.\nAnswer: 5*(w + 1)*(w + 276900)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2161*j - 7793 - 1377 = 1635 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 1:16 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = -d. Suppose -4*f + 38 = n, -90 = -5*n + f + d*f. Suppose w = -5*j + 19, -w + 2*w = -j + 15. What is the smallest common multiple of n and w?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 7*g**3 + 2*g**2 - 20*g + 7. List the prime factors of n(7).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.6 - 2.3. Let i = s + 1. Let u = -1 - 0. Which is the third biggest value? (a) -5 (b) u (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(130)*-1 + -6*-1*sqrt(130))\/(5*-2*sqrt(160)).\nAnswer: -3*sqrt(13)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2 + sqrt(720) + ((3 + 2*sqrt(720))**2 - sqrt(720)) + ((2*(-1 + sqrt(720) + sqrt(720) - sqrt(720)) - sqrt(720)) + 4)**2 + -1.\nAnswer: 192*sqrt(5) + 3610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 57802397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131 + 130 - 37*s + 22*s + 23*s.\nAnswer: 8*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 261*j**2 - 16996*j - 533. Determine y(136).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/20*-1*(-15)\/(-9). What is the nearest to z in 1.2, 2, 3\/2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 513.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**3\/7 - 17073*n**2 - 187740*n + 3106428\/7 = 0. What is n?\nAnswer: -39826, -13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -133, -57, 5, 47, 63, 47, -7?\n\"Answer: -v**3 - v**2 + 86*v - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1133.\nAnswer: 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2736) + 1)**2 - (sqrt(2736) - 5*(sqrt(2736) - (sqrt(2736) + 3 + sqrt(2736))**2)) - (3*((sqrt(2736) - sqrt(2736)*3) + sqrt(2736))**2*5 + 2).\nAnswer: -84862 - 624*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3302 + -3013123222?\nAnswer: -3013133130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*(sqrt(256)*-1*2 - sqrt(256))\/(-2*sqrt(128)).\nAnswer: -4 - 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -62*o + 4594. Give u(74).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in months?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 3:29 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 + -19 - 9 - 11) + -1.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**4 - 4*g**3 + 13*g**2 + 40*g - 48 = 0. Calculate g.\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2154 = -33551*v + 33678*v + 14610 for v.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1797, -3580, -5337, -7056, -8725, -10332?\nAnswer: -11865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 22*r**3\/3 - 2. Let s = 8 + 0. What is the least common multiple of d(-1) and s?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4 = -1. Let i be (1 - 1) + l + 2. Solve 5 = 2*k + i for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*a**3 + a**2 - 60*a - 4.\nAnswer: (a - 2)*(a + 2)*(15*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6}. What is prob of picking 4 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, o: 3, g: 3, k: 4, r: 2, x: 4}. What is prob of picking 2 x and 2 a?\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26319 - -26251. Which is the closest to -0.4? (a) 0.3 (b) j (c) -1\/2 (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 14 + 6. Suppose 0 = m*y - b - 3*b - 472, 0 = -y + 2*b + 115. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*o + 4*o**3 + 376*o**2 - 189*o**2 - 187*o**2.\nAnswer: 4*o**3 - 26*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 11, -4, 6, 52 in increasing order.\nAnswer: -4, 5, 6, 11, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -36.332.\nAnswer: -32.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 + -2. Is 21 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - -4. Is 16 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-4 - (-10 + 3) - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + 2*g**2 - 4*g)*(3*g**3 - 5*g**3 + 3*g**3 + (-g**2 + 2*g**2 + 14*g**2)*(-2*g - 8*g + 4*g)).\nAnswer: -178*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 10.688.\nAnswer: 9.688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 13) to base 10\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.1, -12, -1308, -4\/3, 5, -3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-17 - -19 - (1 - -6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 8 + 14 - 38 - d + 13. Let i(v) = -58*v + 7. Let o(a) = -5*h(a) + i(a). Differentiate o(u) wrt u.\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*g + 426 - 3078 = 51*g for g.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 53244 and 3451.\nAnswer: 372708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 719608755 a multiple of 3147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 546358, 2185737, 4918032, 8743237, 13661346, 19672353, 26776252, 34973037?\nAnswer: 44262702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4 + 3 - p - 6. Let k be s(4). Let n = -6 + 11. Put -5, n, k in ascending order.\nAnswer: -5, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 13*i = -11*i - 61, -2*b + 5*i = -36. Let l(z) = -3*z - 2. Give l(b).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 268824 to the nearest integer?\nAnswer: 518","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1162.31 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**4 - 95*w**3 + 445*w**2 - 745*w + 390 = 0.\nAnswer: 1, 2, 3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/255*6\/(-4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -59 + 139398?\nAnswer: 13933b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 43505, 44586, 46387, 48908, 52149?\n\"Answer: 360*x**2 + x + 43144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 441\/252*456\/4676. Which is bigger: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2)*(k - 5 + 5)*(-1 - 2 - 3)*(k**2 - 4*k**2 + 4*k**2).\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1990 + 2112. What is the remainder when 958 is divided by f?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 10*w - 10. Let g be h(8). Let n(k) = -k**3 + 5*k**2 + 7*k + 1. What is the remainder when 11 is divided by n(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/30*0 - (7 + -2). Let w(h) = -h - 1. Suppose -2*g - 3*g = 2*r + 4, -5*r - 5*g = -5. Let o(l) = l + 1. Let k(f) = r*o(f) + 2*w(f). What is k(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k + 48. Let i be b(18). Suppose 0 = 3*p + 3*v - 135, -180 = -4*p - p + 4*v. What is the highest common factor of i and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 301808 divided by 1451\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71899 is divided by 5968.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3*(-30)\/(-72))\/((-1)\/4). Let k be (u + -3)*3\/2. What is the first derivative of 15 - k*w + 19 + 59*w**2 - 54*w**2 wrt w?\nAnswer: 10*w - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = -4*g - 10, 33*w - 3*g + 129 = 78*w - 25*w - 23*w for w.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2760 - -2935. Calculate the remainder when x is divided by 157.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-18))\/(2*-1*1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152554662.\nAnswer: 2, 3, 13, 651943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*u - 1116 = -61*u - 63*u for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 - -32. Calculate the remainder when l is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*5\/5*-6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -6475.752768?\nAnswer: -6472.752768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-27)\/(-3))\/(-3)*-1. Let j(h) = 82*h + 2. Let u be j(x). Let o = -37 + u. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27758294 and 87138.\nAnswer: 249824646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -288 by 29.\nAnswer: -288\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105 + -99. What is the highest common factor of 30 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0411 rounded to 1 decimal place?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 300553 - 144565. Suppose -4*s = -12, -6*v + z = -3*v - 4*s. What is v rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 169915*s - 4*s**3 - 3*s**3 + 9*s**3 - 169915*s + 3*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12\/4 + -20)\/(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q + q + 2*q - q + 2*q + 561*q**2 to the form y + z*q**2 + w*q and give z.\nAnswer: 561","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 9 - 4*p + 13 + 2*p. Let s be v(9). Solve -5*g - 2 = -s*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1713 - 1711. Let d(k) = -76*k**2 - k - 17. Let q(g) = 19*g**2 + 4. What is v*d(n) + 9*q(n)?\nAnswer: 19*n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -3. Let f(p) = p**2 - 2*p. Let v be f(3). Calculate the remainder when 9 + -5 + 0 + v is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123791.744 rounded to the nearest one thousand?\nAnswer: 124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.26 - 0.26. Which is the nearest to -2? (a) n (b) 2\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2 + 19*h + 2. Let z be y(0). Is (z - -3)*(-4 - (-1183)\/35) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142519 divided by -1.\nAnswer: -142519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -23. Which is greater: s or -5\/24?\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2565 + 2564.9. Which is the closest to -0.1? (a) -0.5 (b) g (c) 1 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 5:38 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95, -191, -287, -383?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - b + 16*d = b + 19*d + 5, -3*b = 10*d - 22 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/6 + 6*b**2 - 251*b\/6 + 36.\nAnswer: -(b - 27)*(b - 8)*(b - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 36 by 13.\nAnswer: 36\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 447188 and 1117970?\nAnswer: 2235940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 11 - 3. Let z = g - -5. Let w be 2 - z\/(-1 + 3). Which is the second smallest value? (a) -3 (b) w (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -538c8 + -4?\nAnswer: -538cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 6 - 11 = 2*m + 20, -2*m + 33*d = -155 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 14*u + 1 + 13*u.\nAnswer: -u + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 + 23*i - 9. Calculate x(23).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i**2. Let w(h) be the second derivative of h**4\/3 - 17*h. What is f(w(c))?\nAnswer: 96*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 345 divide 86940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 1133*z**3\/6 + 399*z**2 + 1785*z + 2. What is the first derivative of i(u) wrt u?\nAnswer: 1133","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 25*t**4\/24 + 55*t**3\/6 + 121*t**2\/4 + 29*t. Factor r(c).\nAnswer: (5*c + 11)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3, -9, -17, -27, -39, -53?\n\"Answer: -y**2 - 3*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 9*f + 0 - 2 + 13 + 18 - 6. Let p(g) = 2*g. Determine i(p(q)).\nAnswer: 18*q + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -361935\/16 or -22620?\nAnswer: -361935\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115928 + 140056 = -744*a + 748*a. What are the prime factors of a?\nAnswer: 2, 3, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42896215 is divided by 250855.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/36 and 163\/2242128?\nAnswer: 6726384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) 5 (c) -0.07 (d) 2\/5 (e) 0.3 (f) -328\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 2*n - 4*n)*(14077*n - 14077*n + 136*n**2) + (2*n - 3*n + 2*n)*(n**2 + 5*n**2 + 0*n**2).\nAnswer: -130*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -c28?\nAnswer: -c27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21732\/32598)\/(13\/(-6)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 370 and 1295?\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -5397.71346 to the nearest one hundred.\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -276 divided by -69.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (0 + (-2 - -1) - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.212254 millimeters in meters?\nAnswer: 0.009212254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 + (-1605)\/428*(5 + -1). Let o = 0.1 + -0.17. Sort o, -2, x, 0.\nAnswer: x, -2, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 1\/3, -2\/15, 2, -2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/1314*1020\/1700?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c - 4. Let y be j(0). Let o be -7*(-27)\/21 - 88\/10. What is the nearest to 1.1 in y, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o*o**(-2\/5)*o)))**(-46)\/(o**(-2\/5)\/(o\/(o\/(o**(-3\/5)\/o)))) assuming o is positive.\nAnswer: o**(-374\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122357 (base 8) to base 10.\nAnswer: -42223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.7 - -9.7. Suppose -4*s + 3*s + 5*j = 3, 0 = 2*j - 2. Let w = -3 - -13\/5. Which is the second biggest value? (a) k (b) s (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 101.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (813 - 0) + 1 - 6?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -12754197 and 38 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -226*b + 217*b = 45 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -1) + (3 - -1 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 0*u**4 + 1\/2*u**2 + 0*u - 1 + 1\/90*u**5 - 4\/9*u**3. Let m(h) be the second derivative of s(h). Factor m(k).\nAnswer: 2*(k - 2)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-9) + 792\/81. Let p(h) = h**2 - 8*h - 10. Calculate the remainder when 28 is divided by p(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 513, 0.5, -273353 in descending order.\nAnswer: 513, 0.5, -273353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**3\/3 + 2*r**2 - 10*r + 2. Calculate the remainder when t(-7) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207950952 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 11*y**2 + 9*y - 10. Let u be f(-10). Suppose 5*g - 255 - 70 = u. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5195.5 to the nearest 100.\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q + 0*q - q)*(-2 - 4 + 4) + q - 1 + 1 - q - 4*q + 2*q - 5 + 6 + 0 + 2*q as t + c*q and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 93*k - 92*k - 3. Suppose -v - k*v = 3*g - 825, -4*g + 12 = 0. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 102*r - 2*r**2 - r**2 + 0*r**2 + 5*r**2 in the form f + p*r**2 + g*r and give g.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62014845 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*t**3*u*v - 2*t**2*u**3*v + 147*t**2*v**2 - 70*t*u**3*v**2 - 2*t*u**3*v - u**2*v**2 - 2*v**2 wrt t.\nAnswer: 12*t*u*v - 4*u**3*v + 294*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (879 + 82 + 232 + 89)*(-r + 3*r - r)*(6 - 4 - 4).\nAnswer: -2564*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2444721.3 rounded to the nearest 10000?\nAnswer: 2440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y*y**8*y)\/y*y)**(-18) assuming y is positive.\nAnswer: y**(-198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 163805*w**2 - 76255300*w + 8874684500.\nAnswer: 5*(181*w - 42130)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -180 (b) -1\/3 (c) -0.5 (d) -38\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (5 - (11 + -12))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -39.8 (b) 3\/5 (c) 12485\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56 and 833.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t**2 + 48*t + 13. Let m be v(6). Let h be 215\/40 + (-3)\/8. What is the highest common factor of m and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.475918 centuries to millennia.\nAnswer: 0.1475918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -397 - -666. Calculate the remainder when c is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -222 + 3313142?\nAnswer: 3312520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1158, 1155, 1142, 1113, 1062, 983, 870, 717?\n\"Answer: -s**3 + s**2 + s + 1157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1447489 is divided by 843?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -5 - ((-12 - -10) + -9)) + -31 + -6?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-170)\/(-255))\/(1 + (-661)\/663). Let f = i - 90. What is the remainder when f is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 + j**3 + 469 + 79 + 69.\nAnswer: j**3 + 550","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 363416 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -115\/327 - -2\/109. Let s = 2 + 3. What is the nearest to 1 in 0.3, s, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42889181 a multiple of 652?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 200409 by -5.\nAnswer: -200409\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2548469 is divided by 54?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**3\/7 + 292*f**2\/7 - 278*f\/7 - 1740\/7 = 0. What is f?\nAnswer: -2, 3, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -5\/6 (b) -5 (c) -20902\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*b - 5*b = -2736. Does 38 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -1. Let m(k) = -k**3 + 4*k**2 - 2*k - 1. Let o be m(b). Let f(i) = 4*i - 2 - 1 - 5*i. Give f(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 21104058 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-126)\/(-10) + 2\/5. Suppose 4*r = 5*t - 1 - 2, 2*r - 6 = 0. Solve -4*o + t*m + 6 + 12 = 0, 5*o = -m + z for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.48018 minus -8?\nAnswer: -8.48018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.96 - 5.92. Let x = z - 0.04. Let k(y) = -y**2 - 6*y - 4. Let w be k(-5). What is the third biggest value in w, x, -2\/7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -274.1 - -276.1. What is the smallest value in 0.2, r, 24\/19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -241 (c) -2\/11 (d) -1\/7 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-42) + (-12)\/24\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4417 - 12104. What is u rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.1 - 7.1. Let g = x - -6.000033. Round g to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803807902.\nAnswer: 2, 8243, 48757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 29*f + 535. Let n be q(-31). Suppose i + 2*m + 121 = -2*m, -m - 559 = 4*i. Let b = i - n. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 1:56 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -202 and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*a = 49, -9 = -g + 3*a + 2. What are the prime factors of 20142\/g + 4\/(-40)?\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 3 + (-6 - (1 - 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -67, -2, 4, 1, -10 in increasing order.\nAnswer: -67, -10, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - -7) + 16 + -7 + (-5 - -11) + -11.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/20*-14*2*1. Solve -1 = -3*m - 16, 3*o + c = -2*m for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*w = -104*w - 40*w + 1760 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -266194100 rounded to the nearest 100000?\nAnswer: -266200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11501, 23000, 34499, 45998, 57497?\nAnswer: 68996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -22*l**2. Let p(k) be the first derivative of -3*k**2\/2 + 63. Give p(d(g)).\nAnswer: 66*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 135.178 and 4.\nAnswer: 540.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28\/3 - 9. Let k(s) be the second derivative of 5\/2*s**2 - j*s**3 + 1\/20*s**5 + 0 - s - 5\/12*s**4. What is k(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -649 - -658. Let n be (1\/(-10))\/((270\/50)\/r). Which is the closest to 3\/5? (a) -2\/7 (b) -6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 54253992?\nAnswer: 54253992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 434 + -411. Suppose -3*p + 8*l = 12*l + t, 12 = 3*l. Is -13 equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**2*p**3 + a**2*p**2 + 21*a**2*p + 427*a*p**3 + 8*a + 5*p**3 + p**2 wrt p.\nAnswer: 12*a**2 + 2562*a + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 4*m + 2. Let b(x) = 2*x**2 + 8*x + 5. Let g be 27\/12 - (-1)\/(-4). Let t(o) = g*b(o) - 5*f(o). Calculate t(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2156*l**2 - 2156*l**2 + 129*l**3 + (2*l**2 - 2*l**2 + 2*l**3)*(1 - 2 + 0) - 3*l**3 + l**3 + 3*l**3 - 6*l**2 + 9*l**3 + 6*l**2 - 5*l**3 + 5*l**3 + 5*l**3.\nAnswer: 142*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11 + 4.374.\nAnswer: 4.264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -285 + 14*f - 16*f + 4*f.\nAnswer: 2*f - 285","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 16 (b) 3\/65 (c) 493 (d) -0.2 (e) 4\/5 (f) 10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18719 (base 12) to base 10.\nAnswer: -35589","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**4\/24 + 4*d**3\/3 + 5*d**2. Let o be m(11). Is 491 + (-2 - o) + -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 5, -5*n + 2*j = j + 54. Let i = n + 10. Let f be 1\/i*3\/9*0. Solve f = -3*c - c + 16 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/3 (b) -1 (c) 2 (d) 0.081\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -0*s + 2*f - 1, -2*f = -5*s - 11. Let z be (-1)\/((-8 - -9)\/((-3)\/s)). Do z and -11\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tsq when three letters picked without replacement from {q: 2, s: 1, t: 1, e: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 377, 718, 1031, 1316?\n\"Answer: -14*r**2 + 383*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**5\/20 + g**4\/2 - 2*g**3\/3 - g**2 + g. Let z be j(5). Let m = -1460 - -1465. Put m, z, -5, -3 in descending order.\nAnswer: m, z, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 31. Let i(z) = z**2 + 6*z - 19. Let h be i(-8). Which is the closest to v? (a) -17 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3*s - 43922, 0 = 225*x - 230*x + 2*s + 54914. What is the greatest common divisor of x and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + 1\/2)\/((-12)\/(-32)). Suppose -a + h*a - 7 = -4*p, -5*p = 2*a. Let t(u) = 2*u + 1. Calculate t(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (1 - (4 - 7) - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48835?\nAnswer: 5, 9767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1199 = -8*n + 385. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 17615673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 444660, 444854, 445048?\n\"Answer: 194*j + 444466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 0*b - 2*b)*(2*b**4 + 0 + 0) - 197*b**5 + 155*b**5 - 351*b**5.\nAnswer: -397*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100698 is divided by 380.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 313175?\nAnswer: 5, 12527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/1798 and -55\/1218?\nAnswer: 37758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*o + 21. Calculate the remainder when 63 is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l**3 - 3*l**2 - 18 + 18 - 2*l)*(11 - 2 + 1) in the form n*l + o*l**2 + k*l**3 + v and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -340 + -1?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 47894147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -210*u - 182*u + 289*u.\nAnswer: -103*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20911174181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -60*m**2 - 78*m + 11. Let h(a) = 21*a**2 + 27*a - 4. Calculate -6*b(k) - 17*h(k).\nAnswer: 3*k**2 + 9*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/6 and 1\/566082.\nAnswer: 566082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 46400000 = -r. Round r to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 93 - 369\/4. Let v = 0 - -0.1. Which is the third biggest value? (a) s (b) v (c) -1\/2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -17. Let o(r) = -2 + 0 - 14*r + 4*r - r**2 - 2. What are the prime factors of o(y)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/(-6) - 1)*(-12942)\/(-2). Suppose w + 4*d = 5033, -5*w = -2*w - 4*d - p. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -44, -21, 40, 157, 348?\n\"Answer: 3*c**3 + c**2 - c - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 15. Let r be (35\/(-14))\/((4\/(-2))\/(-4)). What is the remainder when 19 is divided by p(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 0 + 2 = z, 4*z - h = 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - (-27 - -49)) + (-1 - -4) + -39 + 0.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1363312770031\/156 - -8739152122. Let l = y + 32301. What is the common denominator of -47\/18 and l?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6038 - -10243. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 4*m + 51781, 4*b + 3*m - 99648 = -30609. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/27708 - -124492069\/138540. Let s = l - 899. Let j(g) = -g**3 - 6*g**2 + 2*g + 7. Let a be j(-6). What is the second smallest value in 4, -2, s, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + s**2. Let i(p) be the first derivative of 15*p**4\/4 + p**3 + 237. Determine i(v) - 3*j(v).\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -1670*v - 746487. Calculate l(-447).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 34580.92 to the nearest one thousand.\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2007, -4014, -6021, -8028?\n\"Answer: -2007*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7757792 and 17455032.\nAnswer: 69820128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -105627 and 0.4.\nAnswer: -42250.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/4*3)\/((-138346)\/2380 + 49) and 61\/18?\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 92620 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30 + -200322022?\nAnswer: -200321332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3*t - 70. Suppose -t*r + 68*r = -372. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-3)\/(-9))\/1)\/(-1). Let l = 17 - 16.9. Let r = -32 + 29. What is the nearest to k in r, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-16) - (-232)\/(-192)*33. Let u be (-22)\/42 - v\/60. Let s = 19\/28 + -1\/4. Which is the second smallest value? (a) u (b) 4\/9 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 1:46 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -21 + (-1 - 0) + 8?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 862962*c**2 + 744600*c wrt c.\nAnswer: 1725924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60861 is divided by 634?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96*t - 4 + 4 - 133*t to the form m*t + w and give m.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-2)\/(-172)) + (69 - 67). What is the highest common divisor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -1) + (-9 - -9) - 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/309, 0, 1819\/4, -0.1, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fcbfcffbqdqyddcb. What is prob of picking 2 c and 1 y?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, v: 2, j: 5, w: 1, p: 1, r: 1}. What is prob of picking 1 r and 1 j?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 1)*(2 - -1). Let v(k) = -k - 1. Let n be 0\/((-3)\/3) - -5. Suppose -4*l + 9*l = -n. Let y(r) = 2*r + 3. What is d*v(s) + l*y(s)?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.72206595*3.\nAnswer: 5.16619785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*v + 845*v**2 + 25149 + 12*v - 60*v**2 - 25144 wrt v?\nAnswer: 1570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/3, -0.005, 4, -45, -12, -14\/9?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 8*g**2 + 4364*g - 145410. Give k(-577).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**3 + 233*z**2 - 6787*z + 354. Determine j(57).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 11*l**2 + 13*l - 6. Let p(a) = 4*a - 3. Calculate the remainder when y(10) is divided by p(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 20*r**2 - 22*r + 18. Calculate z(19).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 6:16 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 42\/8 + (-3)\/(-4). Suppose -m*x = -x - 670. List the prime factors of x.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 237249 and 348.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 4*j**4 - 4*j**3 - 6*j**2 + 12. Let x(n) = 3*n**4 - 4*n**3 - 5*n**2 + 10. Let g(i) = 5*u(i) - 6*x(i). Find z such that g(z) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4477778681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 79*f + 307. What is h(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10.702 and 5?\nAnswer: 5.702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h + 14. Let z be s(-15). Sort 1, z, 57 in descending order.\nAnswer: 57, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 18746700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9 + -5 + -3)*(-2)\/2. Let m be 4711 + (p - 5)\/(7 + -5). Suppose -w - w + 2354 = 5*r, 4*w - m = -3*r. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**2*h**2 + f**2 + 2*f*h**2 - 8547*f*h - 227*h**2 - 2*h wrt h.\nAnswer: 2*f**2 + 4*f - 454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6880 - 6876. Let k(i) be the third derivative of -1\/21*i**g - 1\/210*i**5 + 0 + 0*i - 25*i**2 + 5\/21*i**3. Determine x so that k(x) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**6\/60 + z**5\/60 + 3*z**2\/2 + 1. Let y(o) be the second derivative of i(o). What is the third derivative of y(u) wrt u?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*y + 56*y + 62*y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27.16 + -28.319. Let o = t + 1.459. Let m = -0.3 + -1.7. Which is the nearest to o? (a) m (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.075 + 0.193. Let q = j - -0.472. Round q to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9881 + 61*s - 19766 + 9885.\nAnswer: 61*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18501*m**3 + 18503*m**3 - 37006*m**3 - 58*m**2 + (4 + 2*m**3 - 4)*(7 + 0 - 1) + 3*m**3 - 2*m**3 + m**3 to q*m**3 + i*m**2 + b + f*m and give i.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-4)\/(-24))\/(52\/1976)).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 937 minus 959?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 85*n + 2098. What is the remainder when f(-23) is divided by 132?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b112 (base 15) to base 3\nAnswer: 1220020222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + -35 + (-250 - -262) + (-21 - 2)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57157 = 2110*a - 12473 for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pddddpppdppdp. What is prob of picking 2 d?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 + 2 + 2)*(0 + 0 - 1) + (0 + 0 + 2)*(-1 + 4 - 4) + 6 - 3 - 1)*(-1 + 1 + 2*i) to h + m*i and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mimb when four letters picked without replacement from mbmipbpimbmbpfmbmi.\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.88 + -0.12. Let q = o + 3. Is -2 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 2 = -7, -5*c + 2 = 3*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 26002270.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + 64. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 o when two letters picked without replacement from {m: 4, t: 1, p: 5, r: 1, o: 1, w: 3}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + -27 + 35)*-2.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5824 + -5514. Let p(c) = -c**2 + 28*c - 9. Let i be p(15). What is the greatest common divisor of w and i?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19226811011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 821111317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*b - 4452 = -199*b + 33*b for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100053 is divided by 519.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 92161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 3. Let k = 12 - 13. Let d be 0 + 0*k\/2. Give r(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-6))\/(1\/18). Suppose -5*p + 64 = -4*v - p, -3*v = 4*p + 48. Let x be ((-12)\/v)\/(1\/k). What is the greatest common divisor of 72 and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + (sqrt(117)*-1*4 - sqrt(117)))\/((sqrt(81)*-2)\/sqrt(9)) + sqrt(52)\/(1*sqrt(100)) + 2 + 3.\nAnswer: 5 + 11*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -10361 + 20698 - 18931*p - 10337 in the form q*p + g and give q.\nAnswer: -18931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2308, 10184, 23282, 41602?\n\"Answer: 2611*k**2 + 43*k - 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -17*k**3 - 1922*k**2 - 117*k - 9. Determine f(-113).\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -115115? (a) -2\/11 (b) -26 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.08 (b) -0.04 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 257063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 112? (a) 311 (b) -0.011 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 6*h + 9. Let q be d(6). Suppose -y = -77 + 3. Let p = -73 + y. Solve 2*z + q = -p for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vme when three letters picked without replacement from {s: 2, m: 2, x: 1, e: 2, r: 1, v: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5671459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 31*h + 114. Give y(-6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3)*-1*3. What is the nearest to 5 in -1\/2, s, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -5*d + 214, 140 = o + 3*d + 35. Let r be (-26)\/o - (-1)\/(-9). Let x = -0.1 - -0.6. Which is the closest to r? (a) -3\/5 (b) 3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216*z = -1648538 + 6905330. Is z a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1600 and 604400?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -11*v. Let t(r) = -11*r**2. Give f(t(k)).\nAnswer: 121*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express b - 6*b + 3*b + (-4 + 2 + 1)*(-2*b + 0*b + 0*b) + 0*b - 2*b - 5*b as y + v*b and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 220, 1925, 6544, 15535, 30356, 52465?\nAnswer: 83320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 274, 716, 1574, 2986, 5090?\nAnswer: 8024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -114*(25\/10)\/(12\/(84\/35))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 130729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/289 - (-453)\/(-102)*2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-8)\/(-4) - (9 + -14)\/(-5). Let d = 54 - 23. Put d, t, 4, -1 in ascending order.\nAnswer: -1, t, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p = -174638 + 13498. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19048*y - s = 19044*y + 10, -5*s + 50 = -2*y + s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4266, 20405, 47302, 84957, 133370, 192541?\nAnswer: 262470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 931539.7us to milliseconds.\nAnswer: 931.5397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 = 0, 0*x - 5*m = 4*x - 51. Suppose -8*c + 238 = x*c. Is c at least as big as 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (-18 - 55 - -70).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/10*(22 + -2). Let v be ((-8)\/5)\/(r\/(-160)). Let q be (-42)\/(-10) - 24\/120. Calculate the highest common divisor of v and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4\/171 - 847\/342. Let a = -20450 - -797594\/39. Let k = a + -6\/13. Put -0.4, k, y, -1\/6 in ascending order.\nAnswer: y, -0.4, -1\/6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9560.057 nanometers in millimeters?\nAnswer: 0.009560057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (119\/(-51))\/((-14)\/60)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 - 12*c**2 - 12*c - 10. Calculate l(13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/3*6\/(-8). Let h be (i - (-15)\/(-12)) + (-52)\/(-144). Which is the second biggest value? (a) h (b) 3\/2 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 3*x + 2, x = -0*u + 5*u - 8. Let s be (-4)\/((-5 + u)\/(-3)). Let b(m) = -2*m - 2. List the prime factors of b(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a + 410 = 5*t + 12*a, -3*t = -5*a - 254. What is the highest common divisor of t and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 801029501.\nAnswer: 673, 1190237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -17*j + 21. Let v(i) = -9. Let b(u) = -d(u) - 2*v(u). Let q(t) = -3*t**2. Give b(q(h)).\nAnswer: -51*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 4*l + 36, -9 = -2*b + 4*l - 17. Suppose -3*x = 2*q - 56, 2*q - b*x - 32 = -x. What is the remainder when q is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 9 (b) 4 (c) -0.0175 (d) 5 (e) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 2*p + 115. Let g be l(0). Let k = 246 - g. What are the prime factors of k?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*v + 2*s - 22, -10753*v + 10752*v - 2*s = -7 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402560847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 575 and 814200.\nAnswer: 814200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q - 6*q + 5 - 10. Let z(c) = -71. Let m(h) = -h. Let p(v) = 5*m(v) + z(v). Let t be p(-13). Give f(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -86*d + 64280 + 61624. Is d a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + g = 15. Let z be 1\/g - 154\/(-70). Suppose -20*a + z = -19*a. Which is bigger: a or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 97 - 29 = 0. Solve 0 = 8*v - 2*v + g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 3\/((-8 + 9)\/(-2))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 2, -10 in increasing order.\nAnswer: -10, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3) + 4*2\/(-12). Let h be (-82)\/(-83) + o\/1. Which is greater: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1771 or -1774?\nAnswer: -1774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 645529 and -3?\nAnswer: -1936587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/2, -1.7, -1\/6, -0.01?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 28 = a + 5*b, -b + 5 = -5*a. Suppose a = 2*s + 190 + 120. What is the common denominator of 21\/16 and (-2)\/(-4) - 5\/((-275)\/s)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/7 + (-2)\/(-7). Suppose -4*r + r + 4*c = -35, 4*r + c = 15. Suppose 0 = -5*u + r, 3 = -h - u + 11. Solve 0 = s*k - h*k - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.5, 7\/5 in ascending order.\nAnswer: 0.2, 0.5, 7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 613130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2 - 21142*w + 53962008.\nAnswer: 2*(w - 6263)*(w - 4308)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112 - 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 14085 and -0.15 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -78879.664 - 0.2?\nAnswer: -78879.864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooobddbodbb. Give prob of picking 1 o and 1 b.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 2142 = -4*s. Let a = s + -146. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22032863 rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32901242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*g - 11*g - 151 = -4*f - 29*g + 15, 20*f + 6*g = 846 for f.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-22) + (-2)\/(-1) + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*y - 7 = 0, n + 4*y - 7*y = -9. Suppose 31 = 2*r - 5*k, -71 = -4*r + 2*r - n*k. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 5792.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 25*z**2 + 13*z + 52. Let x(s) = s. Calculate a(x(f)).\nAnswer: 25*f**2 + 13*f + 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s**4 - 174*s**3 + 141. Let g(y) = 3*y**4 - 261*y**3 + 212. Let r(a) = -5*g(a) + 8*v(a). Differentiate r(q) with respect to q.\nAnswer: 4*q**3 - 261*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96 + -188 - (-1 + -3 + -19)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**4\/4 + 7*w**3\/3 - 5*w**2 - 10*w - 3. Let o(i) = i**2 - 332. Let v be o(-18). Let x be p(v). Solve 0 = x*y - 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in millimeters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d1b - 1265?\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -36 - (59 + -28) - -39\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 16*t + 28*t)*(421 - 252 - 218)*(-2 + 2 + 2).\nAnswer: -4018*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(((l*l**(-3))\/l)\/l*l*l)*l)**(12\/17)*l\/(l\/(l**(2\/37)\/l))*l**7 assuming l is positive.\nAnswer: l**(5584\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of 7*n**5\/20 - 77*n**2. Let m(w) be the second derivative of w**3\/6 - w - 26. Calculate x(m(h)).\nAnswer: 21*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6337*a - 3 - 2 + 2 + 5 - 6360*a - 21*a**2 to y*a**2 + p + t*a and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 5*i = 12*c - 15, 5*c + 4*i = 33. Let d(u) = 2*u**3 - 3*u**2 + 3. Let s(n) = -5*n**3 + 5*n**2 - 5. Determine c*d(a) + 3*s(a).\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + (-1 - -2) - -4. Suppose 3*l - 4*l = 5*w - 12, w = -5*l + v. Solve -2*q - s = 7, w*q + 0*s - 11 = 5*s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v - 9. Let n(i) = -i - 4. Let o(k) = 3*f(k) - 5*n(k). What is the least common multiple of 10 and o(-10)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2670134 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 387 - 384. Solve -m*v = -3*f, -1 = -f + 2*f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the third derivative of -o**6\/270 + 7*o**5\/15 - 185*o**4\/18 + 2650*o**3\/27 + 328*o**2 - o + 1. Solve p(f) = 0.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 8. Give u(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 0*o - o - o + 1 + 16*o**3. Let x be a(1). Let g be -20*(9\/x + -1). Solve -l = 3*l - g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3510 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-39*k + 9*k + 16*k)*(-23*k**2 + 23*k**2 + 24*k**2) + k**3 + k**3 + 0*k**3)*(-2*k + 0*k + 4*k).\nAnswer: -668*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*21\/(-70))\/((-7)\/5).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/1 + (-10)\/10. What is the first derivative of p - 4*i + 5*i - 5*i**3 - i wrt i?\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**4 + 21065*b**3 + 1025*b**2 - b - 26?\nAnswer: -24*b + 126390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006064507 rounded to 7 dps?\nAnswer: 0.0000606","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 13*x + 14*x + 13 - 39*x + 8*x as i + g*x and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*(-31)\/(-9) - 24) + (-5)\/((-85)\/(-117))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 147?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -460 (base 8) to base 13.\nAnswer: -1a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 11*q - 15. Let k be m(12). Which is the second biggest value? (a) k (b) -4 (c) 3\/4 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*o + 1876 + 1413 = 0 for o.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 2*l + 345. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41276 and 126565?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x**5 - 9*x**4 + 112*x**3 - 108*x**2 + 16*x = 0. Calculate x.\nAnswer: -4, 0, 2\/11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 0.04348422?\nAnswer: 0.08696844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m. Let p(z) = -3*z**2. Let c be (5 + -3)*(-5 - -2). Let y(t) = -25*t**2. Let g(f) = c*y(f) + 51*p(f). Give k(g(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 w when two letters picked without replacement from wooonowown.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 3*n + 1, -8*k = -5*n - 9*k - 9 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/10*(-30)\/(-84).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -z**3\/3 + 2*z**2 + 7*z - 2. Let f be l(5). Calculate the highest common factor of 2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 28*d - 81. What is the remainder when b(21) is divided by 85?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 812 = -1858. Let c = -399 - q. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32297060179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -351\nAnswer: -2106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -4\/7, 5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3982 = 3*a - 29867. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.1133257 rounded to three decimal places?\nAnswer: 21.113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -314520000 to the nearest one million.\nAnswer: -315000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**4 + 134*s**3 - 37341*s**2 - 2073276*s - 27713664 = 0. What is s?\nAnswer: -108, -27, 352\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*t**5\/9 + 32456*t**4\/9 + 54146*t**3\/3 + 170644*t**2\/9 - 162430*t\/9 - 67700\/3 = 0. Calculate t.\nAnswer: -5\/2, -1, 1, 4062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -135, 16, -168 in ascending order.\nAnswer: -168, -135, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -21. Find the first derivative of 2 - 4*u**4 - 6 + 8 - c*u**4 wrt u.\nAnswer: -24*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 3. Suppose 0 = -3*x + 3, 0 = -2*d + 2*x + 3 + 3. Sort -2, d, i in decreasing order.\nAnswer: d, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5368 and 792?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1397 - 767*m - 1398 - 443*m)*(0 + 4 - 3)*(-1 - 4 + 6)*(3 + 4 - 1)*(2*m - m - 3*m).\nAnswer: 14520*m**2 + 12*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*t - t - 50 = 43. Let h(q) = -2*q**2 + 3*q. Let j be h(4). What is the closest to t in 3\/7, j, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4768?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 178812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6 + 9 + 1 - 43 + 28. Let g(x) = 3*x - 4. What is 6*c(o) + g(o)?\nAnswer: 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/5160 and -139\/248970.\nAnswer: 995880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w + 556 = 13*w + 5*a, -3*w = 2*a - 823. What is the remainder when w is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*m = 12446, 10*t - 7*t + 7*m - 4*m - 5*m - 255 = -13 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -26822\/9 bigger than -2981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, -4, 31, 4 in descending order.\nAnswer: 31, 7, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -19. Let w = 0.16 - 0.06. What is the third biggest value in f, -0.4, w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5009676 is divided by 492?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 839, 1660, 2217, 2378, 2011?\n\"Answer: -22*d**3 + 975*d - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 0.1654.\nAnswer: 3.1654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/5, 0, -262.9?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2299) - (sqrt(2299) - ((sqrt(2299) + 1 - sqrt(2299)) + sqrt(2299))) - sqrt(2299)) + 4 + -5 - 4*((sqrt(2299) + 0)*-6 - sqrt(2299)))**2.\nAnswer: 1802416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4150 rounded to the nearest one hundred?\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1279 - 1105. Solve -2*n = -s + 168 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a tonne?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is bc573 (base 14) in base 5?\nAnswer: 104102320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-73)\/((-438)\/(-234))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.089073 and -20.4.\nAnswer: -20.489073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.83232655 - -2352?\nAnswer: 2345.16767345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4092 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-1700))\/((160\/280)\/(-3*(-30)\/63))\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1786 a factor of 161081126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 282, 0, 4 in ascending order.\nAnswer: 0, 4, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -13*b. Let q(t) = -5*t**2 + 4*t - 16. Let y(j) = 36*j**2 - 27*j + 108. Let d(c) = 27*q(c) + 4*y(c). Give d(r(u)).\nAnswer: 1521*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6192*w**3 + 12810*w**3 - 73*w**2 - 6619*w**3 - 9*w**2.\nAnswer: -w**3 - 82*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (3 + (1 - (-4 - 0)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 1 - 4*w - 3 + 2*w**3 + 6*w to t*w + h + m*w**3 + b*w**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2*n - 3*m, n + 3*m = -14 + 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 PM and 7:17 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11*-748496\nAnswer: 8233456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 192*m + 25. What is i(205)?\nAnswer: -2640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 0*w - 4*w + (w - 3*w + w)*(-3 - 2 + 7))*(w + 10 - 10)*(5*w**3 + 2*w**3 - 5*w**3).\nAnswer: -8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**6 + 9*q**2 + 3*q**6 - 5*q**6 - 3*q**2 wrt q.\nAnswer: -360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -542*a**3 + 6*a - a - 5*a.\nAnswer: -542*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 7 + 7)*((0*u - 2*u + 3*u)*(3 + 1 - 2) - 659 + 659 - 24*u + (0 + 2 + 0)*(u - u + 2*u)) to z + b*u and give b.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -4032 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 144131, 288313, 432477, 576623, 720751?\nAnswer: 864861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f*g**2*j**3 - 9*f*g*j**3 + 54*f*j**2 - f*j - 3*g**2 + 3*g*j + j**3 wrt j?\nAnswer: -6*f*g**2 - 54*f*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 18. Calculate the remainder when 133 is divided by ((-18)\/(-12))\/(z\/(-36)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 9. Let s be (36\/(-14))\/(f\/(-168)). Suppose -s = -3*i + 9. What is the remainder when 41 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -3246206?\nAnswer: -3246202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1436 and 43715430.\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -244415, -244419, -244409, -244379, -244323, -244235, -244109?\nAnswer: -243939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*s + 24, 0*s = 2*s - i - 9. Find the third derivative of 36*p**3 + 2*p**2 + 2*p**2 + p**s + 13*p**3 wrt p.\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, c: 2, x: 2}. What is prob of sequence ec?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 12:08 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331019?\nAnswer: 13, 25463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/(h\/h**(1\/6))*h*h**(-5)*(h**2*h)\/(h**(1\/3)\/h)*((h\/(h\/((h**(-2)*h)\/h)))\/((h*h**0)\/h))\/(h**3*h\/h**(-4)) assuming h is positive.\nAnswer: h**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**5 - 850*f**4 + 41465*f**3 - 445440*f**2 + 769860*f - 365040 = 0.\nAnswer: 1, 12, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g. Let u(f) = f. Determine -2*h(s) + 11*u(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 m, and 1 p when three letters picked without replacement from {p: 5, m: 3, f: 1, w: 6, j: 3}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1070025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a**2 + 44*a**3 - 97*a**3 - 2884*a + 52*a**3.\nAnswer: -a**3 - 13*a**2 - 2884*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8 + (-3585 - -8)\/(-7). Let r = 537 - n. Calculate the smallest common multiple of r and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 167005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 + b**2 - 7*b**3 + 4*b**2 + 2*b**3.\nAnswer: -5*b**3 + 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 114882997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 2812 - 548. Does 30 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**4\/12 - 11*m**3\/6 - 3*m**2\/2 - 349*m. Determine i(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 - 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6202 + 1260. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -584*z**4 - 381*z**4 + 1230*z**4 + (1 - 6 + 2)*(4*z - 2*z**4 - 4*z).\nAnswer: 271*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 4*l**2 + 6*l - 6. Determine c(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 23*b**3 + 3*b**2 - 287*b - 54. Find the first derivative of q(k) wrt k.\nAnswer: 138*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of -i**5\/60 + i**4\/4 - 2*i**3\/3 + 2*i**2 - 83. What is o(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 4:04 PM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1908 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 3:34 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -5*j + 6. Let w(z) = -87*z**3 + 2*z**2 + 6*z + 5. Let a be w(j). Suppose -2*s - 5*m = -1565, -a = -4*s - 4*m + 782. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1323)*4)\/((sqrt(90) + sqrt(90)*-3)\/sqrt(10)).\nAnswer: -14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3\/2 - (-10)\/(-8)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 4)*1*-7. Suppose g - 3 = 2*k. Suppose 3*p = 4 + 2. Solve 0 = -k*a + 2 + p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 35 - 27 + 47*w in the form q + o*w and give o.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1979*u - 501259 = -1848*u + 6338*u - 171340 for u.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4093*a*s**5 - 52*a*s**2 - 2*s**6 + 2*s**2 + 92 wrt s.\nAnswer: 245580*a*s**2 - 240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3527008, 3527004, 3527000, 3526996?\nAnswer: 3526992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.116087*-2\nAnswer: 0.232174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42 in 0.02, 2, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gihixhgjhjmxjjg. What is prob of picking 1 g and 2 x?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2704\/((-6)\/6)*(-2)\/(-3). Let i = c - -1785. What is the common denominator of i and 74\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**3 - 6564*m**2 - 5372610*m + 21595592 = 0?\nAnswer: -1643, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*o = -173*o + 1248 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 12\/11963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oa when two letters picked without replacement from {g: 3, o: 3, a: 1, e: 2, i: 2, l: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -187 + 190. Let r = -0.17 - -4.17. Which is the nearest to 2\/3? (a) r (b) 1\/4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 3*s + 43, -919*s - 19 = 2*v - 916*s for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 396?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -t + 6, 3*t = -5*i + 62 - 61 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**3 - 2*m**2 + 9*m - 6. Let q(t) = 8*t**3 + 7*t**2 - 26*t + 17. Let r(a) = -4*q(a) - 11*z(a). What is r(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -208334*n**3\/3 + 5*n**2\/2 - 6*n - 9. Let i = -22 - -28. Let a be x(i). What is a rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338 + 136 = 6*t. Suppose 5*g - 20 = 0, -158 = -2*y - 2*g + 3*g. Let s = t - y. Which is the third smallest value? (a) 8 (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 1325436.\nAnswer: 1\/94674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 32297 = -n + 88500, 0 = 2*g + n - 34512. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 312436, 624849, 937238, 1249603, 1561944, 1874261?\n\"Answer: -12*v**2 + 312449*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 + 76. Let h = u + -46. Let x be -8*2*(-3 - 44\/h). Solve 0 = x*f + 19 + 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -46, -43, -40, -37, -34?\n\"Answer: 3*z - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 4:56 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 b, and 1 d when four letters picked without replacement from {i: 4, d: 7, b: 2}?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 11:50 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1679 or 1784?\nAnswer: 1679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 31108327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.0171073?\nAnswer: -0.00684292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 212279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + -2 + 41 + (-27)\/(-9). Let x = -43 - -82. What is the greatest common divisor of v and x?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 5*u = 16, 5*m + 0*u + 2 = 3*u for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 121*f. Let i(b) = 2*b. Give a(i(s)).\nAnswer: 242*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51385409\/262 - 196127. Let v = -6681 - -875213\/131. Let z = p - v. What is the smallest value in 4\/9, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -25*n - 88 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6788\/1515 or -3?\nAnswer: -6788\/1515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 47135 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -377.42 + 382.5303. Let a = b + -5.1. What is a rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6 = t, -2*f - 4*t = -f - 21. Calculate the smallest common multiple of 3 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 15 = -13*s - 5*s. Sort 29, s, -18, 3, 4 in decreasing order.\nAnswer: 29, 4, 3, s, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (19*10 - 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0264 rounded to three dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -0*o - 4*x + 20, -5*o + 7 = -x. Suppose -t = f - 11, 3*f = 17 - o. Suppose 0 = 3*z - 6 - t. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - (-2364)\/(-9))\/((-1)\/(-15)). What is z rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92075\/2900 + (-33 - -2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 216*g**2 + 197*g + 4042. Give l(217).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j = -7*j + v - 497, -5*v + 385 = 4*j. What is the highest common divisor of 2540 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15 - 31\/(-2))*6. Solve -44*c = -t*c - 246 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 0*h + 1\/30*h**6 - 29*h**2 - 1\/12*h**4 - 7\/60*h**5 + 0*h**3 + 1. Find the second derivative of v(d) wrt d.\nAnswer: 24*d - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 + 0*n**3 - n**3)*(-237 - 234 + 470 - 55*n) + (4 + 0 + 3)*(0*n**4 - 4*n**4 - n**4).\nAnswer: -90*n**4 - n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-12*10\/40).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -5*u - 5, -u = -i - 2*u - 8. Let c(t) = -2*t - t + t + 3*t. Let l be c(i). Do l and -17\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3206*l**2 - 1 + 1602*l**2 + 1600*l**2 + 27*l - 3*l**4 - l**3 as z*l**2 + t*l**3 + c + m*l + h*l**4 and give m.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u + 20. Calculate s(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 716512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005482 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g - 4*g + g + (-1 + 1 + 1)*(-2 - g + 2) - 1 - 2*g + 1 + (1 + 4 - 3)*(4*g + 2*g - 5*g) + (-1 + 0 + 4)*(-g + 3*g - 3*g).\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25)*1*6*5)\/(sqrt(55)\/(sqrt(33)\/sqrt(3)) + ((sqrt(500) - (2*sqrt(500) - sqrt(500))) + sqrt(500) - sqrt(500))).\nAnswer: 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**5 + q**4 + q**2 + 1. Let f(t) = 10*t**5 - 8*t**4 - t**3 - 10*t**2 - 9. Let n(m) = 2*f(m) + 18*y(m). Factor n(h).\nAnswer: 2*h**2*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 x when two letters picked without replacement from {z: 2, h: 1, k: 2, x: 4, o: 4, p: 1}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -c**5\/7 + 269*c**4\/7 + 111890*c**3\/7 - 31392234*c**2\/7 + 26471961*c - 39489093 = 0.\nAnswer: -339, 3, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 9.96. Let f be (-4 + (-164)\/(-40))*-1 + 0. What is the third biggest value in f, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -6*k**5\/5 + 137*k**4\/4 - 343*k**3\/3 + 2080. Find the third derivative of d(f) wrt f.\nAnswer: -144*f + 822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 7*a**2 + 6*a. List the prime factors of o(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -363*q + 12*q - 41*q.\nAnswer: -392*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*f = -4*a + 12, 3*f - 10 = a. Let c be 6402\/(-357) - a\/(-7). Let v = c - -2531\/102. Find the common denominator of -3\/10 and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/1202 and 1\/((-4)\/3)*-31*(-4)\/20.\nAnswer: 12020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 737? (a) 0 (b) -11 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 0.1 (c) 8 (d) -3\/7 (e) 324\/1049\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66989?\nAnswer: 13, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/114 and 125\/6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - 13*l - 27. Let i(p) = p**2 - 6*p - 13. Let d(v) = -6*b(v) + 13*i(v). Let h be d(5). Suppose -5*n = -6*n + h. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*f + 88*f - 10847 = 54*f + 1904 for f.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106 (base 11) to base 16.\nAnswer: -7f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t + 330 = -2*g + g + 158, -3*g + 4*t - 28 = -4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3279465 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*m + 4*m + 10, -3*m - 5*l = 19. Let r = 854 + -781. Calculate the remainder when r is divided by 5*(-4 - m)*-5.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2078 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -12. Suppose -3 = q, 6*q - 4*q - u = 3*v. Let n be (16\/v + 4)\/1. Solve -o - 4 = -n*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 0\/(-3 + -1) - -7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1355.\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 18*l + 2028 = 0. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 2 + 2)*(-2 + 2 + 2*x) + 19256*x**2 + 0 - 8 - 20320*x**2 + 4.\nAnswer: -1068*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -423.5 + 424. Let k = -0.3 - 5.7. Let j = -5 - k. Put j, t, 0 in descending order.\nAnswer: j, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422902197?\nAnswer: 3, 46989133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*o - 907 + 193 = 0. Solve -2*h - o = -4*q + 8, 4*q - 37 = 5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 61*j**2 + 360*j + 310. Calculate r(-4).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343 - 70 = 3*u. Calculate the remainder when u is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzjzlwjlwwjjjzl. What is prob of picking 1 z and 3 l?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 5*n = 0. Let b(f) = -3 - 1 + n*f - f + 16*f. Let v(p) be the second derivative of 7*p**3\/6 - p**2 - 2*p. Calculate -6*b(j) + 13*v(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + ((-2)\/(-2))\/1. Let m(p) = -p + 4. Give m(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 932873\/4? (a) -3 (b) -2\/5 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-140 + 145)*(0 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 6*j - 5. Determine g(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.66339 decades in years?\nAnswer: 786.6339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23506*q - 23488*q - 108. Solve 10*c - 2*i = q*c - 18, -i = 4*c + 21 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**4\/12 - h**2\/2 - 8*h. Determine o(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 421217 or 421219?\nAnswer: 421217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 0.4 (c) 10 (d) -0.271\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p + 19*p = -3*z, 2*z = -p + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9883 - -9890. Let f = 3 + -1. Suppose -8 = 2*n, -1 = f*d + 3*d + 4*n. Solve -d*h - a = -4*k, -4*h - 28 = 3*k - 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 2624468.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -560993 + 560995. Solve 160\/19*h**4 + 128\/19*h**5 + 0 - 168\/19*h**3 - 4\/19*h + 46\/19*h**z = 0.\nAnswer: -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44.322*-4.\nAnswer: 177.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + 550?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of 43*v**4\/12 + 2*v**2 - 151*v. Find the first derivative of h(r) wrt r.\nAnswer: 86*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 5:41 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4058 divided by -13.\nAnswer: -4058\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12680 and 352?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*m - 11*m + 5*m + (-2 - 1 + 1)*(1 - 1 - 2*m) to b + t*m and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 5 + 18*t)*(-t - t + 4*t).\nAnswer: 36*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 210 and -21897.\nAnswer: -21687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxn when three letters picked without replacement from xsdsxnx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 325933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*l + 47*l = -4*o + 46, -5*l + 287 = o. Let w be (3828\/l)\/(2\/(-2)). Let r = 0.2 - 0.3. Is r smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*b**4\/7 + 404*b**3 - 20806*b**2\/7 + 3064*b - 3480\/7 = 0. Calculate b.\nAnswer: -290, 1\/5, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -520.6 - -591. Let j = -8.6 - d. Let w = j - -75.1. Round w to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 3*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l + 3. Let i be s(2). Let t(z) = 5*z**2. Let a be t(-2). Suppose a = q + 4*m + m, m - 4 = -4*q. Sort -3, i, q in ascending order.\nAnswer: -3, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11720257?\nAnswer: 11720257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 5, r: 3, n: 3}. What is prob of sequence prn?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 55. Let s = -29 + v. Let i = -25.8 + s. Which is the second biggest value? (a) 3\/5 (b) i (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (11 - (-3 - -2)) + (2 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920557.\nAnswer: 11, 53, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64132916 is divided by 1047?\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 231207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 divided by 37036?\nAnswer: 95\/18518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = -5*z + 3*n + 21485, -4*n = -9*z + 38673. What is the thousands digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6812 (b) -44 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -393 (b) 2\/667 (c) -1.78\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 1:55 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 14970*q - 70. Let u(z) = 22455*z - 98. Determine -10*u(w) + 14*y(w).\nAnswer: -14970*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 plus 214664391?\nAnswer: 214664390.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/1*((-1045)\/(-66))\/19. Solve 12 = -4*s, 0*w + w - 3*s - i = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 9212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 6. Let h = 97 + -92. Let c(g) = -x*g**2 + 3*g**2 + 2*g + 9*g**2 - h*g**2. Calculate c(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l. Let u(v) = -28*v - 35*v + 89*v - 38*v. Let m be 1\/((-1)\/(-3)) - 3. Let t be (0 - -3) + m - -7. What is t*k(j) - u(j)?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-818 - -877) + 0 + 32 + -15\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 189254 = 3*b + 189277, -3*j + 27 = 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 i when three letters picked without replacement from {c: 6, v: 2, i: 11}?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 6*f**2 + 5*f - 5. Let y be d(-5). Let z(o) = 3*o**2 + o - 1. Let a(m) = 2*m**2 + m - 1. Let v be -7*(-4 + 2 - -1). Give v*a(x) + y*z(x).\nAnswer: -x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1*sqrt(204))\/sqrt(12) - (sqrt(34) + (sqrt(34) - (sqrt(34) - sqrt(170)\/sqrt(5))))\/sqrt(2)).\nAnswer: -5 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4 + sqrt(63)*6 + sqrt(63) + (-4*sqrt(441))\/sqrt(7))**2.\nAnswer: 18*sqrt(7) + 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 2*m)*(-2 + 3 + 1 + (6 + 0 - 4)*(2 - 2 + 1))*(-2*m + 5*m + 8*m).\nAnswer: 88*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.16, 1098, 2\/19, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = n + 4*u, 94*u = 5*n + 97*u + 6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -67?\nAnswer: 4\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 1\/8 (b) -1 (c) 0.986\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44254, 44652, 45312, 46234, 47418, 48864, 50572?\nAnswer: 52542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(832) + sqrt(832) + sqrt(832)*-1) + 2 + (sqrt(832) + sqrt(832) + 0)*2*2)**2.\nAnswer: 224*sqrt(13) + 40772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -14677, -29365, -44063, -58771, -73489, -88217?\n\"Answer: -5*j**2 - 14673*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -826 - -9094\/11. What is u in 8\/11*u - 2\/11*u**4 - 12\/11*u**2 + z*u**3 - 2\/11 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -51981*x + 26519*x + 36932*x as w + j*x and give j.\nAnswer: 11470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -581 or -2907\/5?\nAnswer: -2907\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2069173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i + 138 = -13*i + 25*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*x - 0*x + q, 0 = -5*x + 2*q + 30. Let o(a) = -6*a - x*a + 13*a. Let t(u) = 70*u. What is o(t(g))?\nAnswer: 70*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 - -41. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/5)*a\/(a\/(a**(-15)*a*a)))\/(((a*a**(-1\/32)\/a)\/a*a)\/(a**(3\/5)\/a)) assuming a is positive.\nAnswer: a**(-447\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 + 29)\/(-1)*-2. What is the highest common factor of 36 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/35357 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -95\/3 - -32. Put k, -5, -4 in descending order.\nAnswer: k, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38919*x**3 - 12587*x**2 wrt x.\nAnswer: 233514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1038 - -1038. Solve r = 2*l + 236 - 236 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002669885 rounded to 6 dps?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 8*u**2 - 2*u - 10. Let h be t(-8). Let w = -8 + h. Let y be 1 + w - (-2 + 461). What is y rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5*t - 10, -6*t + 4*t - 2 = b. Suppose -2*p + 7 - 15 = 0. What are the prime factors of b\/p + (-91)\/(-2)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -26. Let v = 15 - u. Suppose -r = -3*r + v. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of 2*k**6\/27 + 16*k**5\/15 - 16*k**4\/3 - 2240*k**3\/27 + 800*k**2\/3 + 12218. Solve m(r) = 0 for r.\nAnswer: -10, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.215873 rounded to 2 decimal places?\nAnswer: 9.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q + 37 + 238 = 0. Is 8 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 39, 72, 105, 132?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1837756, -3675532, -5513308, -7351084?\n\"Answer: -1837776*c + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 9*c. Let r be s(1). Let h(j) = j + 5. Let d be h(r). Suppose -2*p = -4*f + 15 + 5, -2*f - d = 5*p. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - -311505?\nAnswer: 311465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (-164)\/56 - (-351)\/(-210). Which is smaller: -0.011 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 2*t - 10, -3*v = -0*t + 3*t - 9. Suppose 4*c + 4*d - 24 = 0, v*d + 1 - 28 = -5*c. Solve -2*s - 5*o = 0, 3*s = 2*s - 4*o + c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 + 2*x**2 - 3*x + 1. Let p be n(1). What is the second biggest value in p, -4, 51?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 5 = -j, 4*j - 21*d - 20 = -24*d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4944 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rzr when three letters picked without replacement from zrzrzzzzrzrzrz.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*l + 7. Suppose 0*b = -l*b - 8. Let u be 2 + b - -2*2. Solve 4*w = g - 5*g + 24, 3*g = u*w - 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5*v = 3*v - 6, 2*v = -4*z + 12. Suppose -4 + 22 = z*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - x + 27 - 83 = 0, 2*f - 19 = -3*x. Suppose -7 = -2*o + f. Calculate the remainder when o is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6097*v - 11614*v + 5517*v - 13*v**3.\nAnswer: -13*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 16*y**2 - 14*y - 7. Let j be x(15). Suppose -j = c - 131. List the prime factors of c.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 4*i**2 + 5. Let w = -25 - -31. Let y(k) = 5*k**2 + 6. Let g = -978 - -973. What is g*y(h) + w*r(h)?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 92073*p**2 - p - 2. Let u be h(-1). Let l = 22460 - 60532. Let w = l + u. What is w rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-2)\/(-3))\/(100\/86250)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 184819168 to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -636 by 6.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2. Let w(j) = 46*j. Determine b(w(y)).\nAnswer: 8464*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21256*q + 21256*q - 133*q**2.\nAnswer: -133*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -17*s - 1. Let i(k) = -10*k + 870. Let u(q) = -q + 29. Let f(r) = i(r) - 30*u(r). What is f(t(m))?\nAnswer: -340*m - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(363) + sqrt(363) + 0 + sqrt(363))*-3 + 5 + -4*(-2*sqrt(363)*-2 + sqrt(363))) + -4)**2.\nAnswer: -17864*sqrt(3) + 1221328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u - 4*u + 189 = 0. Suppose -u*x - 29 + 83 = 0. Solve -6*k = -8*k - x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 3)*(-9581)\/26. Let b be w\/143 + 4\/(-26). Suppose b*k = 13*k - 38400. What is k rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -269 - 116 = -77*b. Solve 5 - 12 = b*t + x, -2*x - 2 = 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -5*m + 26 - 32, 3*w = -5*m - 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 125377 (base 9) in base 2?\nAnswer: 10010100101100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 78*t + 9. Let x be h(-4). Let p be (-202)\/x*(-18)\/16. Let s be 6\/(-27) + -2*1. Which is the third smallest value? (a) p (b) -0.2 (c) 0.1 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2248 + 2271. Calculate the remainder when 1973 is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*d - 23 + 273 + 52 + 0*d.\nAnswer: 13*d + 302","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1.1. Let g = s + 0.2. Let t = 3 + -3.4. Which is the third smallest value? (a) t (b) g (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 956529212 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 (sqrt(19) + 1 + 5)**2 + -1 + -4.\nAnswer: 50 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -376509600 rounded to the nearest one million?\nAnswer: -377000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1851562 by 2.\nAnswer: -925781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**3 - 2*o + 2*o)*(-1 + 2 + 0) - 4*o**3 - o**3 + 2*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 12:40 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 5*x + 2*l - 3, 0 = -4*l + 16. Let u be 24\/8 - (0 + x). Let r be (-1 - 2 - -4)*u. Is r <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -16*t**2 + 3*t - 1. Let q(j) = 59*j**2 - 12*j + 3. Let x(d) = 2*q(d) + 9*r(d). Let p(u) = -26*u**2 + 2*u - 2. Calculate 3*p(s) - 2*x(s).\nAnswer: -26*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 93\/248 - -1*(-840149)\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10735 in 3, 13, 5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 23*h**2 - 130*h + 11. Let u be w(-10). Let y(o) = -10*o**2 + 2 + 13*o - 1 + o**3 + 0*o**3. Is y(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 16. Let s = -2.3 + 8.3. Let b = q + s. What is the smallest value in -2, b, 2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*k + 604800 = 17*k. Does 36 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205757700 rounded to the nearest 1000000?\nAnswer: 206000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -104 or -12591424?\nAnswer: -104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.4 - 0.4. Let d = p + 1. Let z = d - 2. Which is the third smallest value? (a) -2\/3 (b) z (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/18 + (-143)\/(-66) + 3. What is the closest to -109 in 4, -2, t, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4147381, -3, 5, -2, 0 in descending order.\nAnswer: 5, 0, -2, -3, -4147381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of -1\/8*w**4 - 3\/20*w**6 - 1\/5*w**5 + 0*w**3 + w**2 - 2\/35*w**7 - 1\/112*w**8 + 0*w - 1. Find m such that r(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*i = 59 - 2 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1948)\/(-16))\/(3\/12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/69579207 and -149\/72.\nAnswer: 556633656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 + 64. Calculate the remainder when h is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r - 554197*r**2 + 554197*r**2 - 343*r**4 + (2 + r - 2)*(3*r**3 + 0*r**3 - 4*r**3) to the form s*r**2 + x*r**4 + f*r + z*r**3 + l and give x.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -194*s + 5080. Let l(x) = 465*x - 12702. Determine 5*l(q) + 12*z(q).\nAnswer: -3*q - 2550","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - 9*l**2 + 15*l - 11. Let p be g(8). Suppose 3*u = p + 36. Calculate the highest common factor of 216 and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 213818 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10523, -20902, -31283, -41666?\n\"Answer: -l**2 - 10376*l - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6850?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + r - 7 = x, -5*r = 10. Suppose o - 4*o + 12 = -x*v, -3*o + 2*v = -8. Solve -u + 8 = 2*t, -u + 3*u = o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0856041 + 1.7856187. Let m = i + -1.7. Round m to six decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - 392*v + 1171. Calculate l(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*j - 80 = 0, -3*x = j - 29 - 31. What is the least common multiple of x and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -25*c**3*k**2 + 31*c**3*k - 43*c**3 - 2*c**2*k**2 - 5*c + 15*k**2 - 8*k + 5 wrt c?\nAnswer: -150*k**2 + 186*k - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*k**2 - 17*k**2 - 2*k**2 in the form d*k**2 + u + q*k and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u. Let s be a(3). Suppose -s = i - 4*i, -3*m = i - 7. Suppose m*h - 30 = h - 4*n, -5*n - 12 = -h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (7\/(-5) + 1)*-180 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*b = 32. What is the remainder when b is divided by ((-1)\/(-3))\/(10\/510)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**2 - 23*z + 109. Let p(d) = -d**2 - 8*d + 36. Give 17*p(x) - 6*q(x).\nAnswer: x**2 + 2*x - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the second derivative of 7\/2*y**2 + 0 + y + 1\/12*y**4 - 5\/6*y**3. What are the prime factors of j(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of 0*v**3 + 129 + 1\/15*v**5 + 0*v + 0*v**4 - 2*v**2. Let p(x) = -5*x. What is t(p(d))?\nAnswer: 100*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5927 = -4*b, 8*b - 4*b = 5*j + 5939. What are the prime factors of b?\nAnswer: 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17023*o = -17025*o - 38 for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*m**5 + 19*m**2 + 101*m - 1 wrt m?\nAnswer: 80*m**3 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76 + 273. Let j = 365 - n. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 10 + 5 - 126*r as p + q*r and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/431, -6, -2\/1177?\nAnswer: 2\/431","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -59 or 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 976 + -1997\/2. Let u be 2 - (1 - (-74006)\/20). Let z = u - -3695. Calculate the common denominator of z and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 532 + 642. Is 115 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 11. Let h be y(0). Let d = -4 + h. Is -15 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvs when three letters picked without replacement from {v: 9, w: 4, s: 3}.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2200400 (base 5) to base 6\nAnswer: 450024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14936239781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.4611195 rounded to 3 decimal places?\nAnswer: -6.461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffg when four letters picked without replacement from {g: 4, f: 3, y: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4942*y**5 - 2*y + 12949*y**2 + 1301*y**5 - 12950*y**2 + 5499*y**5 - 824 wrt y?\nAnswer: 704520*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5414, -12, 27.\nAnswer: -12, 27, 5414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 10*g - 8*m, 46*g - 13 = 50*g + m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3780393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3 + 2*p**3 + 5*p**2 - 3*p - p**3 - 2 - 5*p. Let x be y(-6). Let o(l) = l**3 - 5*l**2 - 5*l - 4. Is o(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19483 is divided by 9272?\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 20. Let r = 15.55 - 0.05. Let u = m - r. What is u rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -4*h - 40. Calculate the lowest common multiple of h and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1577400 and 24024.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 4*a**2 + a - 2. Let v = -8 - -6. Let u be t(v). Suppose -15 = -4*n - u*f + 49, 3*n - 54 = -5*f. Does 11 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**3 + 37 + 79*y - 17 - 244*y - 20.\nAnswer: y**3 - 165*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.756735 - 104820.53.\nAnswer: -104819.773265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -21406471 (base 8) to base 10\nAnswer: -4590905","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 5. Let x = 2 + -1.9. Let l = -71 + 68. Which is the nearest to -1\/2? (a) x (b) l (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1 (b) -2\/7 (c) 5 (d) 2\/3 (e) -92\/5 (f) -33\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1391*c*g**3*i**3 + 24*c*g**3*i + 5*c*g**2*i + 15*c*g**2 - 56*c*i**3 - 4*c*i - g**3*i wrt g.\nAnswer: 8346*c*i**3 + 144*c*i - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 388, 386, 374, 346, 296, 218, 106?\n\"Answer: -v**3 + v**2 + 2*v + 386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*l**3 - 22 + 30*l**3 + 32*l**3 - l to the form j*l**3 + m + y*l + h*l**2 and give m.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 - 14. Let h(k) be the first derivative of -k**5\/60 + 4*k**3\/3 + 38. Let b(o) be the third derivative of h(o). Calculate b(c(i)).\nAnswer: 2*i**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*s**3 + 1795*s**2 - 2350*s - 11680.\nAnswer: 5*(s + 2)*(s + 73)*(5*s - 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a kilogram in grams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -61*a. Let z(p) = 4*p**2 - 54*p - 4. What is z(h(j))?\nAnswer: 14884*j**2 + 3294*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -5*g**2 - 1185*g - 6930 = 0?\nAnswer: -231, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -51*a + 9. Let l(b) = 229*b - 35. Let x(i) = 2*l(i) + 9*q(i). Let k(o) = 33 - 66 + 28. What is -5*k(r) - 2*x(r)?\nAnswer: 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 7*u - 1. Suppose 14*i + 18*i + 8384 = 0. Let n = i + 277. Calculate the lowest common multiple of n and t(-5).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11385 and 200736.\nAnswer: 253931040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 665904 is divided by 665903?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -171, 5 in descending order.\nAnswer: 5, 3, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 25 = 2*x, 0 = 3*i + 2*x - 3087 + 3072 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**7\/42 + 7*z**5\/60 + 10*z**2. Find the third derivative of f(n) wrt n.\nAnswer: -120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1659*m**2 + 1409 + 1662*m**2 - 1637.\nAnswer: 3*m**2 - 228","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -462 + 330. Let m = z + 132.00108. Round m to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*0.131.\nAnswer: 0.393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -42 + (-2 - -3) - 4. Let n = z - -109. Let q = 111 - n. List the prime factors of q.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -157 - -133. List the prime factors of 8\/p*(-1158)\/2.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3141 + 34578\/11. Let j(i) = 39*i + 1016. Let r be j(-26). Which is smaller: z or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -88 in 2, 45\/8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -368663, -737424, -1106211, -1475030, -1843887?\n\"Answer: -d**3 - 7*d**2 - 368733*d + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -139, -179, -215, -247?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + (-12167)\/(-1725))\/(4\/10)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 4 = -4*r. Let s = -7 - r. Let n = -3 - s. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(24)\/(sqrt(60)\/sqrt(5) + sqrt(12)) - (sqrt(2) + sqrt(2) + sqrt(200) + (sqrt(200)*2)**2)*1.\nAnswer: -800 - 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*i + 289*i - 5145 - 6137 = -1112 for i.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -11*n. Let f(h) = -5*h - 122. What is f(o(g))?\nAnswer: 55*g - 122","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(78)\/sqrt(864).\nAnswer: -3 + sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 397 + -391. Suppose -33*u = -29*u - 20. Sort v, u, 0.\nAnswer: 0, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*h - 24 = 169*h. Solve 0 = -5*l + 5*p + 10, 2*l - 4*p + h = 6*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -966 = 6*d - 342. Calculate the common denominator of 6\/(9\/((-612)\/d)) and -5\/2.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2149 and 1228?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 62357, 249463, 561291, 997835, 1559089, 2245047, 3055703, 3991051?\n\"Answer: -v**3 + 62367*v**2 + 12*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1424\/(-3204))\/((-1)\/63).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 541 + -837. Let q = j + 423. Suppose s + 49 - q = 0. List the prime factors of s.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 730\/(-146)*13\/((-2210)\/(-12))\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -6*u + 457. Let q(j) = 14*j - 1142. Determine -12*n(d) - 5*q(d).\nAnswer: 2*d + 226","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -374*a - 30529 = 584*a + 7791 for a.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 = -1. Suppose 33 = 4*f - 5*k, q*k = -2*f - 0*k - 11. Suppose f*n + 2*o + 0*o - 48 = 0, -4*n = -3*o - 124. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10, 120, 422, 1012, 1986, 3440, 5470?\n\"Answer: 16*q**3 - 2*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 56346, -3 in descending order.\nAnswer: 56346, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) 3\/2 (c) -0.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 24*h**2 - 3*h + 6. Let f be p(3). Is 30 a factor of (-1 + 1 + (-6)\/(-9))*f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 375 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 11 = -2*p, 4*p + 3*o + 12 = 7*o for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3\/2, -2974 in descending order.\nAnswer: -3\/2, -4, -2974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 13*j + 23*j = 8*j + 3, 4*k + 3 = -j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10303930079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2 - 20*z + 28. Let a be b(8). Suppose 68 = -2*p - 5*u, 2*u + a = -3*p - 0*u. Is p at least -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 562*v - 2. Let r be y(0). Which is the closest to 1? (a) 933 (b) 2 (c) r (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.7 + -1.8. Let r = q - -0.5. Suppose -4*y - y + 6 = -2*x, -5*y - 2*x = -14. What is the nearest to 1 in r, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m + 0 + 1\/4*m**2.\nAnswer: m*(m - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19726 + -19572. What is the greatest common factor of 11011 and n?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(78)*-2 - (sqrt(78) - (-4*2*sqrt(78) + sqrt(78))))\/(sqrt(216) + sqrt(216) + (sqrt(216) - (sqrt(216) - -5*sqrt(216)*2))) + -3.\nAnswer: -3 + sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 8*r + 29. Let j(l) = -3*l - 10. Determine 6*f(p) + 17*j(p).\nAnswer: -3*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y - 4*z - 28, y - z = 2*z + 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4104673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2.2, -3\/55, -3?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/(-55) - (10\/(-20))\/(10\/488). Solve 17*y - 13*y = a for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*m**2 + 9*m**2 + 27*m**2 + 4*m**2 + 8*m**2 + 2.\nAnswer: -m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*y)*(-y**2 + y**4 + y**2) + (3*y - 4*y + 3*y)*(y**4 + 2*y**4 - 4*y**4) + y**4 - y**4 - 5*y**5.\nAnswer: -10*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_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: Rearrange -50132*d**2 - 50132*d**2 + 48*d**4 - 1 - 10*d**3 + 100264*d**2 to the form s*d + h*d**4 + f*d**3 + w + o*d**2 and give h.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 11103127*p**2 - 3 - 11103133*p**2.\nAnswer: -6*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - -1) + (-18 - (13 - 36))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thgtkgthkuuuquq. What is prob of sequence qu?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5304 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 848.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 822 = 11568 + 364. Is a a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-7 + (679\/42 - 9)) + -110?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -121*j**5 + 17*j**5 - 62*j**5 + (-2*j**3 + 1 - 1)*(-1 - 4*j**2 + 1) + (0 + 1 - 3)*(6*j**5 - j**5 - 2*j**5).\nAnswer: -164*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 1114*g + 8020. What is c(-7)?\nAnswer: 222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 4*r + s - 17, 3*s + 70 = -5*r. Let w = r + 14. Is ((-64 - w)*-1)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 * -0.3\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -22 - 119. Which is smaller: -15 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - p - 18 = p, 5*p = -2*r - 17. Suppose 0*c + 56 = 3*c + k, -4 = r*k. List the prime factors of c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 13*y + 318. Let u be p(-16). Calculate the highest common divisor of u and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35.7 - -8216\nAnswer: 8180.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 79872873?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 8) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a gram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -16*p + 2. Let s be w(1). List the prime factors of -2 - 7\/(s\/108).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1261200*(-3600)\/54*1\/2. What is v rounded to the nearest 1000000?\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1484, 1479, 1460, 1421, 1356, 1259, 1124, 945?\nAnswer: 716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 3:16 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58427, -58372, -58281, -58154, -57991, -57792, -57557?\nAnswer: -57286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/4, -40, 3, -3\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/414 and -1\/1221.\nAnswer: 168498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 125116081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 1873*q + 61809. Let o be a(-33). Let -2\/5*d**3 + o*d + 0 + 18\/5*d**2 = 0. Calculate d.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, v: 6, k: 3, m: 2}. Give prob of sequence kvtv.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6*0.186694.\nAnswer: 0.2987104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63275991 - -652.\nAnswer: -63275339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1547, -6186, -13927, -24776, -38739, -55822?\n\"Answer: -p**3 - 1545*p**2 + 3*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 104712?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**6 - 222*b**5 + 4926*b**3 + 386*b**2 - 6*b + 983?\nAnswer: 120*b**3 - 13320*b**2 + 29556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2504 - 2509. Which is the third smallest value? (a) j (b) 88 (c) 2\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 1745149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 17 = l, l = 5*k - 20 - 9. Let z = 40 + k. Suppose -z*m**3 + 21*m**3 - m + 26*m**3 = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 - 5*h + 10. Calculate the remainder when u(5) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o + o - o + (-3 + 5 - 1)*(0 + 0 + o) - 1154*o + 7982*o + 2382*o + 1839*o + 11249*o - 843*o.\nAnswer: 21457*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3381 and 21252.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**6\/40 - a**5\/20 - a**4\/12 - 2*a**2. Let p be t(3). Let d = -81 - p. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 9*u + 36. Let n be a(-12). Suppose j = 2, 4*q + j - 3*j - 85504 = n. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20 + (-215)\/10)*(-20)\/6 + -5. Let p(s) = -s**3 - 2*s**2 + 21. Calculate p(u).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -538*-0.173\nAnswer: 93.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*r = -149*r - 13986. Solve r = 4*m + 646 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*r**3 + 45*r**2 + 2310*r - 2320.\nAnswer: -5*(r - 1)*(r + 8)*(7*r - 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6898, -6965, -7058, -7189, -7370?\nAnswer: -7613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and -567535510426?\nAnswer: 567535510428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56.8 + -65. Let t = -11 + 3. Let x = t - m. What is the third smallest value in 2\/17, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10281843?\nAnswer: 3, 11, 13, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 206861 + -94?\nAnswer: 206778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1300 and 3094?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.85*-2.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 307 divided by 2?\nAnswer: 307\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 2528?\nAnswer: 2527.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/151 or 3?\nAnswer: 15\/151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -76*s + 81*s + 267*s + 5984 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10953 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2537, 2591, 2753, 3077, 3617, 4427, 5561?\n\"Answer: 9*m**3 - 9*m + 2537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 + 2987*d - 2986.\nAnswer: -(d - 2986)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2dd830 (base 16) in base 6?\nAnswer: 144221320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5 + 2\/5*g**4 - 4\/5*g + 0*g**2 + 4\/5*g**3 = 0 for g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17747 + 9285 - 12322 = -51*h - 382*h for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3135.27 - 3107. Let x = p - 28. Let h = x + -0.67. What is the second smallest value in -1\/2, h, -1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5723 - -78256. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, n: 1, i: 1}. Give prob of picking 1 i, 1 n, and 1 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -106166, 4 in decreasing order.\nAnswer: 4, 1, -3, -106166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/2)\/(1\/(-58)). Let d = 31 + x. Calculate the highest common divisor of 22 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115050 and 1050.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 580.0039 days in weeks?\nAnswer: 82.8577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kykyyyyyyk. Give prob of sequence kyy.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 42\/473 and -71\/5638762?\nAnswer: 62026382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**3 - 28371*w**2 - 67175325*w - 468838125 = 0.\nAnswer: -4725, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*h + 2*h + 24. Which is greater: h or 16\/19?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 2289*k - 16060. Let g be h(7). Suppose -5*n - 4*l + 4 = -3*n, -24 = -3*n + 3*l. Calculate the greatest common factor of g and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in 3, 0.1651, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459 is divided by 116?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 12*q**5 + 380*q**4 + 916*q**3 - 348*q**2 = 0.\nAnswer: -29, -3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 25152, 3, -8, -3, 2 in ascending order.\nAnswer: -8, -5, -3, -1, 2, 3, 25152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-6\/11)\/u)\/(u**(-1\/11)*u))\/((u*u*(u*u**(-9))\/u)\/(u\/u**(-3)*u)))**(-1\/17))**(-17) assuming u is positive.\nAnswer: u**(105\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3763?\nAnswer: 53, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3052044137\/1680 + -1816693. What is the common denominator of 53\/60 and u?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.9 (b) 1\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 149, 138, 121, 98, 69, 34?\n\"Answer: -3*v**2 - 2*v + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**2 + 1 - 1)*(-5*r + r + 2*r)*(10 - 8 + 8).\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12582*r - 17312*r - 89845*r.\nAnswer: -119739*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2460 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**5\/120 + m**4\/24 + m**3\/3 + m. Let l(j) be the second derivative of t(j). What is the first derivative of l(f) wrt f?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.8 - -58.2. Let a = m - 40. Does a = 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**8*c*c**(6\/11)*c)**25*((c*c\/c**6)\/c**(1\/2))**(-7\/4) assuming c is positive.\nAnswer: c**(23893\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 112*h**6 - 7*h**2?\nAnswer: 13440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -9*j. Let a(w) = 26*w + 1. Let d = 43 + -45. Let f(p) = d*a(p) - 7*r(p). What is the derivative of f(t) wrt t?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -20. Suppose -2*o + o + 2*b = -7, -5*b + 10 = 0. Let s = -6 + o. Calculate the remainder when n is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 1, 2, -1, -2.2 in ascending order.\nAnswer: -2.2, -1, 1\/5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u**5\/13 - 172*u**4 + 1314*u**3\/13 + 5344*u**2\/13 + 1784*u\/13 = 0. What is u?\nAnswer: -1, -2\/5, 0, 2, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1436 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**3*m + 125*d**3*t + 3*d**3 - d*m*t - 62*d*m + 643*d + 2*m + 728*t with respect to t.\nAnswer: 125*d**3 - d*m + 728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 - m**2 + 2*m**2 + (0*m - 4*m + 6*m)*(5*m - 44*m + 14*m) + m**2 + 2*m**2 - 4*m**2 as g*m**2 + o*m + s and give g.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -166\/17 (b) 0.3 (c) 48 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13738 - -20847. What are the prime factors of g?\nAnswer: 7109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 d when three letters picked without replacement from dggggfoggfggmgggg?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 3548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t**2 + 5*t - 5. Let b(h) = 4*h**2 - 2*h - 1. Let u be b(-1). Let l(v) = -5 + 0 - 1 + 3*v + v**2 + 3. Calculate u*l(s) - 3*c(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11 - -9)\/(-2)*13. Solve c*d - 25 = 8*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.005 and -344\/17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -957*d**2 + 1920*d**2 - 968*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 7 = -0*b - 2*f, -4*b + 2*f = -16. Suppose 2*d - 5776 = b*w, -5*w - 2752 = -d + 143. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (2 - -4) + -2 + -7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*z + 2010*z**3 - 47*z + 23*z - 1.\nAnswer: 2010*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-3)\/(-2) - 2. What is the units digit of (-36)\/4*o\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 112.931 + -113. Let n = m - -0.0878. What is n rounded to 3 dps?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwu when three letters picked without replacement from wwwuwwwwwrwwwww.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19.512167 + 8146.3.\nAnswer: 8126.787833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 4, 5, -1, 1366, 9 in descending order.\nAnswer: 1366, 20, 9, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 24*p - 23*p - 1, 0 = -4*k - 4*p + 12 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -612, -1227, -1850, -2487, -3144, -3827?\n\"Answer: -l**3 + 2*l**2 - 614*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.5 + -0.5. Let l = i + -0.5. Suppose -v + 2*v - 2*a = 9, 5*a = -5*v. What is the third smallest value in -1\/6, v, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 11) + (-202 - -209) + (17 - 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*s = 8, 3*w = -2*s + 703. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**3\/6 + 107*y**2\/2 - 3472*y\/3 + 4470 = 0?\nAnswer: 5, 18, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 - 3*g**2 + 4. Calculate the remainder when 9 is divided by p(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18272\/24*(-375)\/(-50) is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 179 + 310. List the prime factors of s.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208397?\nAnswer: 7, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 - 5*u - 6. Suppose 2 = x + 7. Let b(l) = l**2 + 4*l + 5. Let d(j) = x*b(j) - 4*w(j). Differentiate d(n) wrt n.\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3249 + -3247. Sort 4, 0.5, 34, s.\nAnswer: 0.5, s, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3791125, -3791131, -3791151, -3791191, -3791257?\nAnswer: -3791355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 6. Let g = 6 + b. Are g and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 34 = -6*h + d, 0 = 5*h - 5*d - 40. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21930 + -21929.9. Let w = -5 - -6. What is the closest to t in w, 0.2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 18519228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 0 + 3 + 2*q + 0. Suppose 1 + 4 = -5*a. Let c be 1\/(-2)*(-6)\/a. What is r(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5584959?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3160235461.\nAnswer: 173, 193, 94649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5274?\nAnswer: 2, 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - b + 7. What is the units digit of w(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -g - 4*a + 9*a, 316 = 4*g + 3*a. What is the remainder when g is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -11. Let v(d) = d**2 - 3*d - 5. Let o be v(r). Let k be 190\/(-45) - 2\/(-9). Which is the second biggest value? (a) 3\/2 (b) o (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1162.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 11*u**3\/4 - 3345*u**2\/4 + 63612*u - 5776 = 0?\nAnswer: 1\/11, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 10 = -66*p + 62*p, -3*p - 5*y + 42 = 0. Sort 0, 2, p, -22, -1 in decreasing order.\nAnswer: p, 2, 0, -1, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 4*r + 2. Let b be a(3). Let l = 1 + b. Suppose l = 4*p - 3*t - 70, 4*t + 2 - 42 = -3*p. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 3 + 0*n - 4*n)*(6 + 2*n**2 - 6).\nAnswer: -6*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**5 - 234*i**4 + 8388*i**3 - 90980*i**2 + 337722*i - 254898 = 0.\nAnswer: 1, 7, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 379, 284, 189, 94?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 3001?\nAnswer: -3000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1151 - 5\/2*32\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(56)\/(sqrt(648)*5).\nAnswer: -2*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, t: 4, s: 2}. What is prob of sequence tsto?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1511 is divided by 404?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.65 and -15?\nAnswer: 9.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 9*m. Let x(y) = 4*y**2 - 5*y. Suppose 1 + 3 = 2*l. Let s(i) = 12*i**2 - 2*i**2 - 15*i + 0*i**l + 3*i. Let n(c) = -5*s(c) + 12*x(c). What is h(n(g))?\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -2)**2*6 - sqrt(36)\/sqrt(3).\nAnswer: -26*sqrt(3) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 1142*q**2 + q. List the prime factors of c(1).\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r**3 - 9*r**2 + 8*r - 4. Let k be 30\/12 - (-51)\/(-6). Does 16 divide w(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 10:01 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304590082?\nAnswer: 2, 2011, 75731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1446147 or 1446151?\nAnswer: 1446147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 282756526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15451 + -11?\nAnswer: 15440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.5 + 0. Let r = n + -0.9. Sort -4, -0.1, r.\nAnswer: -4, r, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 + 110*a**3 - 300*a**2 + 290*a - 95.\nAnswer: -5*(a - 19)*(a - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.008*3.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 4102560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70 + 50. Let c(r) = -r**2 - 3*r + 4. Let j be c(-6). Let w = j - d. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -42*f**2 + 28. Suppose -1 + 25 = 8*s. Let h(u) = s - 13 + 9 + 41*u**2 - 28. Let y(w) = -6*h(w) - 5*n(w). What is the derivative of y(d) wrt d?\nAnswer: -72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5527*j**2 - 124*j + 33. Let z(n) = -5524*n**2 + 123*n - 37. Let m(w) = 9*v(w) + 8*z(w). What is the second derivative of m(f) wrt f?\nAnswer: 11102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/45 - 973\/(-3). Suppose -6*j = -767 - s. What are the prime factors of j?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*j, 5*f - 144 = 4*j - 51. What are the prime factors of f?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-2*sqrt(637)*2 + 3).\nAnswer: -28*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.879 times -3541?\nAnswer: 13735.539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/4*(-2 + -14). Suppose 0 = x*z - 13*z. What is the units digit of z - (3 + 127\/2)*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**4\/4 - 4*a**3\/3 + a**2\/2 - a - 3. Let c be h(4). Suppose -c*t = -7*t + 8. Solve -t - 2 = -2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 43\/15 + (-10)\/(-75)*1. Solve 33*k - m = 30*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.2446 + 8.6727. Let k = t - -0.0819. Round k to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -85293264 divided by 7107772\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000006055 to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvva when four letters picked without replacement from {a: 3, v: 3, t: 2}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.793 - -291.937. Let a = y + -299. Let g = a + 0.07. Round g to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, c: 1, b: 1, s: 2, m: 1, x: 1}. Give prob of picking 1 c and 1 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -25. Let d(g) be the first derivative of l + 0*g + 0*g - 3 - g**2. Let z(y) = 14*y. Determine d(z(x)).\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tittiittittttt. Give prob of picking 1 t and 3 i.\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + -424?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m. Suppose u + 4 = -3*o, -4*u - 4*o + 13 = -u. Let q(y) = 10*y**2 - 15*y**2 + u*y**2. Give p(q(d)).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 344864 and 1184.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f - 2*f - 2*f**2 + f**2)*(1 - 2 + 2)*(-2 + 2 - 3) to the form z*f**2 + t + o*f and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -561507, -1123015, -1684523, -2246031?\nAnswer: -2807539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 48b61 + -1?\nAnswer: 48b60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 278 and 4259655?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2102121 (base 3) in base 6?\nAnswer: 12111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eieie. What is prob of picking 2 i and 2 e?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17693891 a multiple of 889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86.5 + 87. Let n = 0.33 - -2.67. Let w = n + -1. Which is the second biggest value? (a) w (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/5, -20, 0, 2\/15, 10, 0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 245? (a) -0.88 (b) 1\/3 (c) -3\/7 (d) 5 (e) -49 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*m + 5. Let s be 250\/m + (-3)\/6. Let n = s + -44. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3850810696 to the nearest integer?\nAnswer: 62055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -177 + 14. Let f = k + 166. Solve 5*j = 3*h - f, 5*h - 4*j + 5 = -3 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60 - -419\/7. Which is the second biggest value? (a) z (b) 4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (39*b + 362 + 4164 - 38*b)*(-3 - 1 + 3) in the form a + o*b and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -11*u - 7. Let n be i(-10). Let p = -812 + 823. Suppose p*k + n - 2094 = 0. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -3.905. Let m = 0.13 - f. Let x = 0.035 - m. Which is the closest to x? (a) -0.13 (b) 4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 530, 4632, 15826, 37658, 73674?\n\"Answer: 591*j**3 - 35*j - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 4*z - 24, -3*f + 31 - 5 = -5*z. Let x = 307\/4 + -77. Which is the third biggest value? (a) 0 (b) f (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7c5 (base 16) to base 12\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.389 less than or equal to -1.6597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28460474 and 58450?\nAnswer: 2338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 3*n - 8, 5*k - 8*n + 13*n + 60 = 0. Let i(v) = -3 + 3*v + 0 - 2*v - 2*v. What is i(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24570 - 23738 + 10712 = -964*y for y.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b0868 - -9?\nAnswer: 1b0875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 61847941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 - 31*k + 143. Let u be 26\/(-3)*-1*(-72)\/(-48). Let j be h(u). Is -92 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 + 32*b**2 - 70*b - 575. Calculate g(-17).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 + -37. Suppose 3*u = -l - 31 + 108, h = -3*u + 3. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -32247833075.7.\nAnswer: 32247833075.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + k + k)*(-1 - k + 1)*(-1 + 6 - 3)*(3 - 3*k**2 + 2 + 4*k**2) + (k**2 + 4*k - 4*k)*(8*k - 8*k - 4*k**2).\nAnswer: 2*k**4 + 30*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2165921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 55827 to the power of 1\/2, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -13*f. Let d(k) = -36*k**2 - 4*k + 10. Let i(x) = -2*x**2 - x + 5. Let v(o) = d(o) - 2*i(o). Calculate v(g(j)).\nAnswer: -5408*j**2 + 26*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1583 + 2612. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1328)\/(-56))\/((-72)\/42) and -101\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*w = 295 + 34. Let o = -126 + 188. What is the remainder when o is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 = r, 0 = -4*n - n + 4*r. Suppose a - 22 = n*t, 5*a - t + 4*t + 5 = 0. Let h(g) = -2*g - 14. Let q be h(-7). Solve q = -0*f - a*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*o + 18*o**3 - 62*o + 1 + 99*o - 1.\nAnswer: 18*o**3 - 22*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4017167602 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -c4 (base 14) to base 3\nAnswer: -20101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 50)*(0 - 8*c + 6*c - 1).\nAnswer: 100*c + 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/5 + (-1)\/(-5). What is the closest to 0.1 in u, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*d - 1234775 = 4810523 + 2775052. What is d rounded to the nearest ten thousand?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -14*m - 2. Let y(o) = 3*o. Let n be (14\/(-28))\/((-5)\/(-50)). Let h(d) = 4*d. Let p(l) = n*y(l) + 4*h(l). Determine q(p(x)).\nAnswer: -14*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 507 + -424. What is the nearest to 0 in -3, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/36 + 532\/24. Suppose -q - h - 3*h = -18, 0 = 3*q - 4*h - f. Suppose q*i - 270 = -70. Solve 4*v - 8 = -i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 198.190989us to days.\nAnswer: 0.0000000022938771875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-829)\/(-3) + -1)\/((-72)\/108). Let i = 421 + o. Solve w = -3*b - i, -2 + 0 = b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -11*t**2 - 8*t - 1. Let r(f) = 1 + 5*f + 57*f**2 - 153*f**2 + 52*f**2 + 51*f**2. Calculate -8*r(b) - 5*w(b).\nAnswer: -b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1907 - -1909. Solve x + 7 = b, 2*b - 5*b = -h*x - 18 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1953 and 6975.\nAnswer: 48825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22034166 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.7 and 2?\nAnswer: -5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, i: 3, w: 1, v: 1, o: 1, n: 3}. What is prob of sequence on?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 23895?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -67da3 + -1c?\nAnswer: -67dbf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 7) to base 3.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 h when two letters picked without replacement from {h: 6, u: 6}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 37*k - 171. Determine t(-5).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s + 780*o - 778*o - 18, -s + 2*o = 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 5*l**2 + 5*l - 6. Let p(d) = -6*d**2 - 6*d + 7. Let m(g) = -6*p(g) - 7*w(g). What are the prime factors of m(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b = -4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.38 (b) -65 (c) -1\/2 (d) -22 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 264164 in 1, -4, 3, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -23 (b) -19 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + 1\/(-2) + 268\/72. Factor g*x**3 + 0 - 2\/3*x**2 + 0*x.\nAnswer: 2*x**2*(x - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -3 (c) 1 (d) -1 (e) -6\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 7*n**2 + 2*n - 10. Let a be k(7). Suppose m + 78 = a*c - c, 0 = 4*c - 3*m - 104. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**6\/120 - 13*c**5\/30 + 9*c**4\/8 - 9*c**3\/2 - c**2 - 2293. What is n(25)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*3\/(-6)*-2. Suppose q + s*q = 12. What is the units digit of (6\/q)\/4*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1500?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -432, -1733, -3902, -6939, -10844?\n\"Answer: -434*n**2 + n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 2*q - 5. Let a be p(-4). Suppose a*n = -n. Solve c = -4 - n for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 713 - 1415 = 7*j - 723 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5833, 127 in increasing order.\nAnswer: -5833, 1, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.78037 - 0.7848323. Round d to five decimal places.\nAnswer: -0.00446","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u + 28. Let a be c(-14). Solve a = 2*o + o + 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46257*d*w**4 + d*w**3 - 479*d - 151 wrt w.\nAnswer: -185028*d*w**3 + 3*d*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*z + z + 4*z + (2*z - 2*z + z)*(-2 + 2 + 3).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - 2630 + 654. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 o when two letters picked without replacement from {c: 7, o: 2, l: 1, x: 4, t: 3, g: 1}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1123*t - 3055*t + 969*t + 962*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(190) - (sqrt(190) - (sqrt(190) - ((sqrt(190)*1 + sqrt(190) + sqrt(190) + sqrt(190) + sqrt(190))*4 - sqrt(190)))))\/(sqrt(60)\/sqrt(96)))**2.\nAnswer: 98496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-14*(-21)\/10780)\/(75\/(-125))\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xuuuuuuuuuuuuxuuxu. Give prob of sequence xuxu.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q*q\/(q*q**(-7)\/q)*q)\/q)\/q)\/(q**(-1\/2)*q))\/((q**(2\/61)*q)\/(q\/(q*(q\/q**(1\/12))\/q))))**(-18) assuming q is positive.\nAnswer: q**(-14385\/122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13404350 by 5675.\nAnswer: -2362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7804385 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 561 - 565. What is the nearest to -0.1 in y, 25, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40374 and 71829832.\nAnswer: 4486","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 7:29 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**20\/b*b)**17*((b*b**(-34))\/b)\/b*b**(-17) assuming b is positive.\nAnswer: b**305","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -4*x + 20. Suppose -x*n = 2*u + 3*u, -5*n = -3*u + 16. Differentiate 0*d**2 + 0*d**u + 4 + d**2 with respect to d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 154556.8 to the nearest one thousand.\nAnswer: 155000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**3 - 499*b**2 + 269*b - 17218. Calculate l(166).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 282\/(-7) + (-4)\/(-14). Let b = -28 - n. Solve 5*j = b + 13 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2296147783?\nAnswer: 2663, 862241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/6 of a hour?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1251 is divided by 257.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 56383.95 days?\nAnswer: 8054.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7497\/10 + 1499\/2. Which is the fourth smallest value? (a) p (b) 35 (c) 1\/3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 - (78 - 40) - -8?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9081273 divided by -33\nAnswer: -3027091\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 235\/27 - 8. What is the common denominator of -52\/9 and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/5)\/(166\/(-2490))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of j**5\/60 + 28*j**4\/3 - 75*j**3\/2 - 1974*j**2. What is m in c(m) = 0?\nAnswer: -225, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 236154735*b**2 + 496585068*b.\nAnswer: 472309470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - 1001?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4014.8 rounded to the nearest 10?\nAnswer: 4010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 3*k - 5. Let z be 6\/(-39) - (-63)\/(-13). Let a be f(z). Suppose 85 = a*p + y + 4*y, 3*y - 21 = -p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 186 - 182. Suppose 0 = -5*p + 12 + 13. Solve z*j - p*j = 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242*g**3 + 0*g**2 + 0*g**2 + 283*g**3.\nAnswer: 41*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -355122 - 2?\nAnswer: -355124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 12691330?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4871203 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/340 and -89\/340.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272 = -12*d + 29*d. Calculate the least common multiple of 2\/8 - (-14)\/8 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 161.1 * -2\nAnswer: -322.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -385358 equal to -385358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*f = f, y - f = -6. Which is the third biggest value? (a) 0 (b) 1 (c) y (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 616078364.\nAnswer: 2, 11, 167, 83843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2544471\/8 + -319607. Let n = 1544 + a. Find the common denominator of n and 101\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 33?\nAnswer: 16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5075 is divided by 188?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 41*b + 109. Let t be y(42). Suppose 4*u + 7*m - 2448 = 5*m, -4*m + t = 3*u. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 7:48 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 6*q**4 - 4*q**3 - 4*q**2 - 28*q. Let s(c) = -7*c**4 + 5*c**3 + 5*c**2 + 29*c. Let t(l) = -5*r(l) - 4*s(l). Find the second derivative of t(w) wrt w.\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 22 - 60 + a + 25 - 14*a. Let t be b(-2). Suppose -t = -4*m + 27. Solve 0 = x - 2*p - 10, 3*x + 3*p = -m + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(550)\/(-6*sqrt(10)*1)*-1)\/(-3*(-3*sqrt(99)*2 - sqrt(99))\/sqrt(9)))**2.\nAnswer: 5\/15876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 5. Let n be ((-1)\/z)\/((-8)\/(-112)). Suppose -13*i = -15*i. Is n >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from ssssssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 9*h + 15. Is h bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -15 + -1999141666944\nAnswer: -1999141666959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4614 - -4614.0602. Round g to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8920112?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 297 and 1287?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -3*x + 4*q, -4*q = 2*x - 5*x - 6*q - 16*q - 27 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*m = 37*m. Let f = -7 + 5. Let o be f + (4 + 0 - 0). Solve -k = -3, 5*d + 16 = o*k - m*k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a year in months?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3\/11 (b) -0.5 (c) 3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**2 + i**2 + 2*i**2)*(-300 + 65 + 45 - 320 + 16)*(-2 + 2 - 2).\nAnswer: 6916*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*i = -28, -5*u - 5*i + 24 + 16 = 0. Is (7448\/(-12) + 8)*u\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1222.487022 to the nearest 10.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 v when four letters picked without replacement from vfbtxvfvtvltbtvblvb.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 100476.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2538.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 + 1)*(-9)\/(-4). Let a = w + -2. Let n be (-1)\/(a\/(-4) - 3). Solve c = -n + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(15\/(-1125)*-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -31, -118, -269, -490, -787?\n\"Answer: -w**3 - 26*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + (42 - 78) + 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1509610?\nAnswer: 2, 5, 150961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18792 and 204392?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 308 and 26026?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 42*b + 117. Calculate the remainder when u(36) is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, -5, 1, 4, -116 in ascending order.\nAnswer: -116, -5, -3, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112377 - 66635. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2620 - -2617. What is the second smallest value in 11, j, 0, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247603 is divided by 7274?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 8:36 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -824, -3325, -7538, -13457, -21076, -30389?\nAnswer: -41390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 2*y - 6, 8 = -3*l - 0*y - y. Let f be -8*(0 + l\/(-4)). Put 5, f, -5, 3 in descending order.\nAnswer: 5, 3, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26668 + 212491.\nAnswer: 239159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 167 + -119. Suppose -r = 3*r - d. What is the remainder when 19*(-3)\/(-3) - -3 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 189236171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/11690 and 31\/700?\nAnswer: 116900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3686*g + 40. Let m(y) = -3685*y + 48. Calculate -5*m(k) + 6*x(k).\nAnswer: -3691*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -42897 divided by 41\nAnswer: -42897\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 9*w**2 + 407*w + 18. Determine r(-45).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 1040?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**5\/5 + 3556*x**4\/5 - 42888*x**3\/5 + 25776*x**2 = 0. What is x?\nAnswer: -1790, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 + -41. Suppose 0 = -23*c + 24*c - k. Solve -3*z + c = -8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*3065919\nAnswer: -613183.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (8\/20)\/((-6)\/5)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) -6\/13 (c) -37 (d) 0.3 (e) -2 (f) 1 (g) 282\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/3)*f**(-2\/7))\/((f*(f**(4\/9)*f*f)\/f)\/f*f**(3\/5)*f)*((f*f\/f**1)**(-46))**(1\/6) assuming f is positive.\nAnswer: f**(-3254\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/20*5 - 1. Suppose x = -16*y - 12 + 1452. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15c (base 13) to base 14.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28118537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75 + 17. Is y a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1425)\/90 + 16 + 14\/(-4)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = 5*k - 11*k. Suppose k*n - 7192 = 20*n. Is 31 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 85*f**2 - 2*f - 169. Let u be i(-85). Let m(q) = q**3 - q**2 + 1. Let b(l) = 2*l**3 - 6*l**2 + 2*l + 1. Calculate u*b(j) - m(j).\nAnswer: j**3 - 5*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2026466618?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.7 take away 1921987046?\nAnswer: -1921987029.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u - 20*u + 621 = 3*b, -941 = -6*u + 5*b. Calculate the highest common factor of u and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d - 4*y - 36 = 0, -35 = -5*d + 3*y. Suppose 4*s - 48 = -2*a, 120 = d*a + a + s. What is the highest common divisor of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10*(-3 - 94\/30*-3). Round n to the nearest integer.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + o - 30, -5*a - 195*o = -190*o + 60 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p**2 - 7*p**2 + 31*p**2.\nAnswer: 35*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 3, -3, -27.\nAnswer: -27, -4, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -6*1)\/(-2). Let m(b) = 1 - h - 1 - 3*b. Let u be m(-3). Solve 4*o - 5*o + 5*v = -11, -u = 3*v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*714\/(-19040)*1*4?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 131020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6*h. Suppose -15 = -7*u + 83. Suppose -4 = -2*b + u. What is the remainder when b is divided by w(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2707 + 4178. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m**3 + 5*m**2 + 4*m - 5. Let g = -3 - 1. Let t(v) = 5*v**3 - 4*v**2 - 3*v + 4. Let r be (-9)\/2 - (-3)\/(-6). What is g*l(j) + r*t(j)?\nAnswer: -j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 29*0.016\nAnswer: 0.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(68) - sqrt(68)*2) - ((-1*sqrt(204))\/sqrt(12) + -5*sqrt(272)))**2.\nAnswer: 6137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 less than -6\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**5\/60 - t**4\/8 + t**3\/6 + 338*t**2. Let m(p) = -p**2 + 1 - 4*p + 2*p + 0. Determine -6*m(u) + 4*w(u).\nAnswer: 2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s + 1 = 3*i, 5*s - 9 = 4*i. Let p(x) = x**3 - 8*x**2 - 20. Let j be p(8). Is s - -1098 - (j + 16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43380 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: Let m(p) = 7*p**2 + 1. Let w(b) = -15*b**2 - 2. Let r(l) = 13*m(l) + 6*w(l). Let z(f) = 4*f**2 + 2. What is -2*r(x) + z(x)?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 578 is divided by 74 + (48\/27)\/(32\/(-144)).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + (-2 + ((3*sqrt(468) - sqrt(468)) + -2 - sqrt(468) - (sqrt(468) + -3)*5) + 3)**2).\nAnswer: -30720 + 2688*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/213212 and 103\/12?\nAnswer: 639636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 6:19 AM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1683 - -32?\nAnswer: 1725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/63*2*2\/(2\/21)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49415704 to the power of 1\/3, to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 280 - 90 = 0. Let s = -50 + k. Which is smaller: s or -11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -17 - (-23 + -41 + 51)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a hour in seconds?\nAnswer: 18900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2047066?\nAnswer: 2, 7, 73, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 - 5760*l**2 - 2764800*l - 442368000.\nAnswer: -4*(l + 480)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j**3 - 4*j**2 - 7*j + 3. Is b(3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - l**2 - l + 1. Let x be p(0). Let s(b) = 5*b - 4*b + 0 + x - 4. Let f(u) = 2*u + 2. Let i be f(-3). What is s(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*i + 262, 3*i - i - 3*k + 107 = 0. Let t = 135 + i. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69211973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - ((5 - 2) + -4 + -4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6*o - 3*o + 3*o - 9 - 3*o + 11. Let x(m) = -4*m. Give x(j(i)).\nAnswer: -12*i - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 944212561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 19 = 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6495 - 6469 = 3*l - 2*m, -40 = 4*l + 2*m for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -6*r**3 + 34*r**2 - 140*r - 73. Give h(5).\nAnswer: -673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16546, -66151, -148826, -264571, -413386, -595271?\nAnswer: -810226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -388148 divided by -3\nAnswer: 388148\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-110)\/(-15) + 1\/(-3). Suppose m + k = -l + 17, m - 4*l - 20 = 0. What is the remainder when 34 is divided by m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1281 and 7.\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4\/4 - 6*a**3 - 45*a**2 + 108*a.\nAnswer: 3*a*(a - 12)*(a - 2)*(a + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 42, -3 in decreasing order.\nAnswer: 42, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1925312?\nAnswer: 2, 67, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 k when three letters picked without replacement from kqkqkkkqqqwqqqnq?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/w**(-4)))\/w*w)**(2\/103) assuming w is positive.\nAnswer: w**(-8\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 c when two letters picked without replacement from {c: 1, p: 2, o: 6, v: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -165211, -165212, -165213, -165214, -165215?\n\"Answer: -i - 165210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13919119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-6\/5)\/r*r*(r*r\/(r\/(r**(-13)*r))*r)\/r*r*(r**(-10\/9))**(-2\/39) assuming r is positive.\nAnswer: r**(-19556\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2861 and -1048083125?\nAnswer: 1048085986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5 + 5*x - 2*x - 9*x**2 - 3*x. Let p(s) = 13*s**2 - 8. Let t(m) = -5*p(m) - 8*u(m). Let j(c) = 2*c**2. Give j(t(k)).\nAnswer: 98*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1655?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 4, o: 11, n: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*s - 15 = -3*s, -2*i + 22 = 3*s. Suppose -3*q = -5*c - 2, q - 5*c = -0*c - 6. What is the remainder when i is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180, -365, -2342, -6465, -13448, -24005, -38850?\nAnswer: -58697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -4*q**4\/9 - 32572*q**3\/3 + 65156*q**2 - 879644*q\/9 + 43440 = 0.\nAnswer: -24435, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 612345736?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -5. Suppose 0 = 2*w + 3*x + 8 + 7, 25 = -5*x. Is o bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -146, -454, -966, -1682?\n\"Answer: -102*x**2 - 2*x - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*l + 5 - 10*l - 4 + 434 - 434 - 15*l + (3 - 5 + 1)*(0*l + 0*l + 2*l) - 2 + 2 - l as q*l + t and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - 3*o + 0*o + (-o - 3*o + 6*o)*(-1 - 2 + 1) - 1 + 2*o + 1 + 0 - 2*o + 0 - 3 + 3*o + 3 + 2*o + 4*o - o + (o + o - 3*o)*(4 + 4 - 6) + 9*o - o + 2*o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, -2\/17, 4\/11, -54.29 in decreasing order.\nAnswer: 93, 4\/11, -2\/17, -54.29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 725 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) 0.4 (c) -610\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/5 (b) 18 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/3 (b) 89.2 (c) -0.24 (d) 0.4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 4*v - 57. Calculate k(22).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(396)*1)**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 579231025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k**2 + k + 2. Let c(x) be the second derivative of -x**4\/12 + 89*x. Determine c(r) + h(r).\nAnswer: 2*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -0.698659.\nAnswer: -0.2794636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**3 + 54*g**2 - 319*g + 643. Let p(v) = 3*v**3 - 54*v**2 + 318*v - 642. Let q(a) = 6*d(a) + 5*p(a). Factor q(z).\nAnswer: -3*(z - 6)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 273919*v**2*w**2 - 6*v**2*w + 210*v*w**4 + 2*v*w + 375*v + 9540*w wrt w?\nAnswer: 547838*v**2 + 2520*v*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**21*m)\/(m\/m**31)*(m\/m**28)\/(m**(-8)*m))**(-41) assuming m is positive.\nAnswer: m**(-1312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 11*y**2 + 4*y + 4. Is 8 a factor of c(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(99) - (sqrt(99) + sqrt(99) + sqrt(99)*-2))*-1)\/(3*sqrt(1089)*2).\nAnswer: -sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17392 is divided by 49.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/9*-27*(-42)\/756)\/((-3)\/(-2)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46.8511 - 0.2011. Round j to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - 7 - 7 - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90 + -72 - (4 + 10 - 131)?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 plus -1.00783?\nAnswer: -1.80783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -25364.\nAnswer: -25363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/531950 and -14\/25.\nAnswer: 531950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14635\/1203 - -1\/802. Let b = 170 + -5630\/33. Find the common denominator of b and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 8 = 5*h, -5*h - 5*o = 49 - 54. Solve 20 = -9*v + h*v - 5*l, -5*l - 18 = 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 15*g**4 - 24*g**3 - 12*g**2 = 0.\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*v - 8, 3*v - x - 8 = x. What is the nearest to v in 1, 2\/7, -0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 11. Let j = -0.424 + 0.024. Let p = -11 + 8. Which is the biggest value? (a) p (b) i (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 670928413 and 214?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -2 - (8 + -10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2558 - -2456 - (-4 - (-3 + 1))\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**2 - 3*o**2 - o**2 - 115*o**2 + 142*o**2 + 178*o**2 + (-o**2 - 7*o**2 - 2*o**2)*(-2 - 1 + 1) to c*o + f*o**2 + n and give f.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 5:14 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -3. Suppose -48 = -4*v + g*m - 5*m, 32 = 2*v + 3*m. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(2166\/(-19))*-19.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39.953 + -0.047. Let f = l + 40. Which is the fourth biggest value? (a) f (b) -0.3 (c) 0.05 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3*g - i - 19 = 0, g - 3*i = -3. Let v be (-395)\/(-2)*(-12)\/g. Suppose -149 = -4*l - 3*h + v, 3*l - 249 = 4*h. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 m, and 1 k when three letters picked without replacement from {g: 3, k: 4, m: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1240 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*d + 6*d. Suppose d*n + 5*s = 398, -2*n + 2*s = -72 - 136. What is the remainder when n is divided by (-51)\/17 - (0 - 18)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 4*k + 4*h - 20, 5*k = -5*h + 25. Let o = -0.05 - -0.43. Let y = 0.08 - o. What is the biggest value in y, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.53825 to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -253 + 1001. What is the hundreds digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1586 divided by -2.\nAnswer: -793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16416 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**4\/12 - z**3\/6 + z**2\/2 - 2*z. Let a(b) = 9*b - 24. Let t be a(3). Let f(l) = -l**2 + l - 1. Calculate t*f(p) + 4*v(p).\nAnswer: p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + -2*sqrt(170)*2)\/(sqrt(360) + (sqrt(360) - -2*sqrt(360))).\nAnswer: -sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 10 + 5 = 0. Suppose 6*l = u*l - 4. Let r(b) be the second derivative of -b**4\/12 - b**3 - b**2\/2 + b. Give r(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 3*o**2 - 24*o + 31. Calculate b(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1363 + 253 = -3*g. Let j be g\/5 + (1 - 0). Suppose -j = -3*n - 2*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -292.4 - -292.1. Let i be ((-2)\/(-18))\/((-3)\/(-30)). Which is the closest to 0.1? (a) 0.2 (b) r (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2330 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 178*i**4 - 2*i - 160 wrt i?\nAnswer: 712*i**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -45*a - 573. Let u be z(-13). Solve -5*s - 10 - 10 = -4*b, u = -3*s + b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 342?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.92 rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, m: 9, q: 1, b: 1, a: 2}. What is prob of picking 1 b, 1 n, and 1 q?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36869370157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -676.\nAnswer: -7\/676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41236 and 488.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000025455 rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 23*z**2 - 11*z + 19. What are the prime factors of d(22)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 19*h - 4. Let d(l) = -l + 1. Determine 6*d(q) + s(q).\nAnswer: 13*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 97 + -96.6. Let a = 8 - 8.3. Let l = -0.4 - a. Is l less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -19c0551c?\nAnswer: -19c05518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 17048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 - 297 = -35*k - 50. Solve -116*q = 5*o - 115*q + 4, -3*q - k = -5*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 220 - 221. Which is the nearest to -1\/11? (a) 0.4 (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 5*g + 12. Let i be o(5). Let p(t) = t**2 - 10*t + 12. Let k be p(i). Suppose 0 = 3*q - 375 + k. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -4. Let a = o - -6. Let w(t) = -85*t + 509. Let r be w(6). What is the closest to r in -0.3, a, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 985, -4.2, -2\/5, 1\/112, 0.1.\nAnswer: -4.2, -2\/5, 1\/112, 0.1, 985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -10, z - 1 = -3*n + 4. Suppose 1 = -b + 5. Factor -1\/4*u**3 + 0 + n*u - 1\/4*u**2 + 1\/4*u**b + 1\/4*u**5.\nAnswer: u**2*(u - 1)*(u + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (38 - (-1 - -2)). Let j be (-85)\/z + -2 + 0. Sort j, 0, -7 in increasing order.\nAnswer: -7, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**5 + 3*v**5 - v**5 + (-4*v**3 - 2*v**3 + 4*v**3)*(-2*v**2 - 3*v**2 + 3*v**2) + 12319*v**3 - 12319*v**3 + 43*v**5.\nAnswer: 45*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bszzsissziss. What is prob of picking 1 b and 2 z?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.2 and 0.466367149.\nAnswer: -1.733632851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 8 (b) 34\/5 (c) 2\/9 (d) -0.08 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1012)\/121 - -8) + (7 - (-6231)\/(-924)).\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6543487.3 days in weeks?\nAnswer: 934783.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -164 divided by -170\nAnswer: 82\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18824194 is divided by 2863?\nAnswer: 2832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 6:24 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*p - 129*p + 89783 = 5*k, 3*p - 71825 = -4*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 2*o**2 - 19*o + 19. Let f be c(7). Let y = -733\/2 - f. Which is smaller: y or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 y, and 1 j when three letters picked without replacement from {y: 1, j: 5, e: 3, x: 3}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159346 - 2*x + 159346.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 2*r**2 + 3*r + 4. Let o be h(-2). What are the prime factors of (-740)\/o - 50\/10?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -22122\nAnswer: -22121.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 5*m + 4. Which is smaller: -2\/21 or m?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, a: 4, b: 1, u: 3, x: 2}. Give prob of sequence xuuz.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 3*x**2 - 3 - 2*x**2 in the form h + i*x**2 + t*x and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(-2)*d))**50\/(d**(4\/9)*d*d*d*d**(5\/9)*d))**15 assuming d is positive.\nAnswer: d**675","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112610 = -28*h + 1051602. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 6*i + 62. Let g be w(-7). Let p = g - -33. Solve b + 4*c + 20 = 5*b, -p*c = -5*b + 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1318 + 1324. Calculate the lowest common multiple of d and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c. Let d(v) = 17231*v + 17261*v - 34603*v. Determine q(d(s)).\nAnswer: 111*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 4\/13, 0, 1\/5, 5, -179.\nAnswer: -179, -0.5, 0, 1\/5, 4\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 843436 is divided by 120472?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -7084354.191 to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 101129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 18 = 2. Let z(w) = -w**3 - 2*w**2 + 3*w - 9. What is the tens digit of z(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 13) to base 11.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*i + 1588, 2*i = -2*j + 120 + 1472. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 27\/6)*0. Put 4, 2, j in descending order.\nAnswer: 4, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 407787163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*g - 1303 = 1172 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 - -25. Let n = 72 + d. Which is bigger: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 >= 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 2:05 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-18))\/2*888\/(-740).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 0. What is the derivative of -1 - 4 - o**3 - f*o**3 + 0*o**3 wrt o?\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11421.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (4 + -7 - -7 - 7)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 6912?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7211, 7188, 7143, 7070, 6963, 6816, 6623, 6378?\n\"Answer: -s**3 - 5*s**2 - s + 7218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -86*r**3 - 2839*r**2 - 49*r - 1000. What is f(-33)?\nAnswer: -472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (0 + -11 - (-10 - -55)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3095945761 a multiple of 6029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34, 65, 94, 121, 146, 169?\n\"Answer: -q**2 + 34*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/4266 and -181\/180?\nAnswer: 42660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 6, 3, -2, -20, -101 in ascending order.\nAnswer: -101, -20, -2, 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -b + 52. Let x = -6 + 17. Calculate the remainder when b is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -283?\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 3*p - 6. Suppose 9 = 6*o - 3*o. Is o at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**2 + 5*j - 5. Suppose -5*n + 4 = -4*n, 5*i - 46 = n. Suppose 2*a = 4*m, -4*a - 4*m = -a - i. Is 2 a factor of w(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwnb when four letters picked without replacement from {g: 7, w: 3, n: 2, b: 7}.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 779153 is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4883 and 3.\nAnswer: -14649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 104*o**3 + 2 + 41*o + 0 - 105*o**3 + (5*o - 5*o + 3*o**3)*(-4 + 3 + 3) - 4*o**3 + 0*o**3 + 3*o**3.\nAnswer: 4*o**3 + 41*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277*k = -326*k + 490 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1473, -5948, -13439, -23946, -37469, -54008?\nAnswer: -73563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - (-5 - -17)) + 2 - (-10 - 1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 56273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -32*s**2 + 14*s + 7. Let o(n) = 33*n**2 - 12*n - 6. What is 4*g(y) + 5*o(y)?\nAnswer: 37*y**2 - 4*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11.58*0.14\nAnswer: 1.6212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/9 of a day?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100*t**3 + 415*t**3 - 205 - 100*t**3 - 107*t**3 - 107*t**3 to j*t**2 + y*t**3 + n + a*t and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74*w**2 + 1154848 - 6*w**2 - 1154853 to the form u*w**2 + q*w + c and give u.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*c**3\/7 - 179609709*c**2\/7 + 59869902*c\/7.\nAnswer: 3*c*(c - 19956634)*(3*c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0044 - 78.0044. Let s = f + 77.7. Which is the third smallest value? (a) 0.1 (b) s (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 10:34 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 94 - 66. Suppose i - 3*w = -5*w + d, 3*w + 88 = 5*i. Calculate the remainder when 38 is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -5*g**2\/2 - g - 1. Let r be f(-1). Let b(s) = 3*s**2 - 4*s + r*s. Let u(l) = -2*l. Determine u(b(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 0)*(p + 0*p + 3*p) - 1 + 2*p + 1.\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*q + 4652 = u + 51*q, 5*u + 4*q = 23212. Which is greater: 4632 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**5\/9 + 190*h**4\/9 - 548*h**3\/3 + 3274*h**2\/9 + 2072*h\/9 = 0 for h.\nAnswer: -1\/2, 0, 4, 7, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -5. Solve -m = -r*m + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**3 - 4*d**3 - d**3.\nAnswer: -10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 3*y + 0*y)*(3 + 0 - 4)*(1 + 1 - 1).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 543*g + 124*g + 0 - 11 + 59*g.\nAnswer: 726*g - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 89965, 359842, 809629, 1439326?\n\"Answer: 89955*y**2 + 12*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 328*j**2 + 312*j - 4970. Calculate d(-327).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12174857 is divided by 3916.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 42969*j + 300787. Determine d(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kskkkkkk. Give prob of sequence ks.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15 + -5?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-24)\/(-84) - 816\/14. Let p = 60 + k. Suppose 3*s + p*s = 360. 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 the biggest value in -10, 1, 3, -2\/315?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 + 92 - 446 + 97 + 6*a + 165.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-two fifths of a kilometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 - -0.29. Let j be (24\/(-9)*(-48)\/256)\/(2\/(-20)). Let p = 0.11 + -1.11. Which is the nearest to p? (a) i (b) -9 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -760 - -8784. Calculate the highest common divisor of 272 and k.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, 20, -1 in ascending order.\nAnswer: -2, -1, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fff. Give prob of sequence ff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q**3 + 29310*q**2 - 42983100*q + 85849000 = 0. Calculate q.\nAnswer: 2, 2930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -5. Suppose i*d - 37 = 15. Factor -d*s + 5*s + 4*s - 4*s**2.\nAnswer: -4*s*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8564479 - 2.454?\nAnswer: -8564481.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**3 - 9 + 9)*(0 + 0 - 2*m**2 + (11 - 11 + 2*m)*(-5*m + 5*m - m)).\nAnswer: 16*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -337014.927 - -336682. Let x = -1.327 - c. What is x rounded to the nearest ten?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = u - 4*u - 5*t + 41, -106*u - 1288 = -4*t for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -142 (base 6) to base 2\nAnswer: -111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -683571680 divided by -34178584\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/309 + -1844\/1545. Let l = 2728\/13 - 210. Let u = 0.1 - 0.3. Which is the second smallest value? (a) l (b) u (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4*g + 184, 32 = -0*g + g + 4*p. Suppose 0*h + g = 2*h. Is h a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -480.5 + 228. Let k = m + 252. Let g = -3 - -5. What is the second biggest value in k, g, 7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -154093031\/116 - 469803\/58. Let p = i - -21542095\/16. Let o = p + -9896. What is the common denominator of -27\/10 and o?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -758 + 2*o - 3*o + 758. Let q(h) = h**2 + 7. Let b be q(0). Let w(c) = -b*c - 4*c - c + 5*c. Give m(w(g)).\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 713, -3, -710, 4.\nAnswer: -710, -3, 4, 713","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 12:10 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x = -36. Suppose -3*t = -2*f + 46, -f + 2*t + 12 = 6*t. Solve -x*n - f = -4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2 - g + 1. Let d(c) = -c**2 + 4. Let s(q) = -d(q) - 2*x(q). Find the first derivative of s(y) wrt y.\nAnswer: 10*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 169.48 + 6810.62. What is u rounded to the nearest 100?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/3, 2\/5, 3, -0.17 in decreasing order.\nAnswer: 3, 2\/5, 1\/3, -0.17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 532\/43457 + 11728294891\/869140. Let t = a - 13490. Calculate the common denominator of t and 87\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 22. List the prime factors of 2 + 32 + 4 + j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 172\/117 + -22\/13. Which is the second smallest value? (a) 4 (b) n (c) -2\/5 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1476 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 164333\/19, 7\/4, -0.2?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 12:52 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 + 2*f**2 - 2*f**2 + (-3*f - 3*f + 5*f)*(2 - 2 + 2*f**2) + f**3 + 2*f**3 + 2*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-five halves of a hour?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4259453 to the nearest integer?\nAnswer: 2064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**3 - 3536*o**2 + 10644*o = 0. What is o?\nAnswer: -887, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 49136*w - 49136*w - 3 + 101*w**2 as h + r*w**2 + o*w and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4, 2*n - 38 = -3*p - 15. What is the least common multiple of p and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148150909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -435*s + 6 + 21 - 14. Is j(-1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**6\/10 + 253*j**3\/6 - 567*j**2 - 1428*j. Find the first derivative of l(c) wrt c.\nAnswer: 12*c**3 + 253","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/27*(-36)\/42\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1639875336 divided by -6\nAnswer: 273312556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((3 - 2)*1). Suppose 2*r = -3*y + 8 - j, -2*r = -3*y + 4. Put y, 0, -1, -3 in descending order.\nAnswer: y, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -202 - -202. Suppose -8*t + 97 - 145 = i. Which is bigger: t or -39\/7?\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-19)*(-292 - -288)?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2360 divided by -472\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l - 3. Let w(y) = -5*y + 3. Let v(r) = 3*k(r) + 2*w(r). Determine v(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v + 7 + 5 + 3 - 2. Let a be y(6). Let r(z) = -2*z - 1. Give r(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -16\/19178953 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2\/9 (b) 74 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 0\/(6\/3)*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/28540170 and 151\/122490.\nAnswer: 28540170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.019 in 1\/3, 0.2, 3\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3086173253.\nAnswer: 43, 71771471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1424862 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -140*a - 21. Let l(u) = 28*u + 4. Let y(b) = -11*l(b) - 2*q(b). Let d be y(3). Let n = -76 - d. Solve z + n = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 42289343.\nAnswer: 42289346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (435*o + 484*o + 32*o)*(-7*o + 8*o - 3*o) in the form x*o + t*o**2 + g and give t.\nAnswer: -1902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 165*m - 167*m + 20, 2*d = 4*m + 40 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 + 0.2. Let m = 14 + -15.9. Let o = m + b. Put -0.4, o, 1\/6 in decreasing order.\nAnswer: 1\/6, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 399 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/5 + 108*g**3\/5 + 106*g**2\/5 - 108*g\/5 - 107\/5.\nAnswer: (g - 1)*(g + 1)**2*(g + 107)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*p**5 - 46*p**4 + 3406*p**3 + 5933*p**2 + 274.\nAnswer: -180*p**2 - 1104*p + 20436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(5\/(-4) - -1). Let n = -8 + p. Solve -2*q = -3*w + 6*w + 10, q + n = -3*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/48 and -57\/4.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4677128.\nAnswer: 2, 89, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c - 8. Calculate n(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(192) + sqrt(192)*-2)\/sqrt(8))\/(-4*(sqrt(432) - -1*sqrt(432))))**2*-3.\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 4*v**2 - 2*v. Let d be 0 + (-4 - 0\/(-4)). Let q be w(d). Suppose 7*y - q*y = -48. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (7 - 3) + -5 + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -10*j**2 + 63 - 3*j**3 - 56 + 12*j + 2*j**3. Let b be v(-11). Let x be 2 + (-1 - -3) + b. Solve 4*a + 2 + 6 = x for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**2 + i + 1. Let m(v) = -1. Let d(z) = h(z) + 2*m(z). Give d(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 57. Let f = -1932\/19 - -29992\/209. Let g = u + f. Which is the smallest value? (a) 3 (b) -3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 = -5*x - 2*l, -3*x + 77 = 4*l - 5*l. Suppose -6*w = -o - 2*w + x, w + 4 = 0. What is the smallest common multiple of 92 and o?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffugfpfqpfgqgfgnngf. Give prob of sequence nguq.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11541015 (base 8) to base 14.\nAnswer: -4a195b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2. Let n(t) = -2*t + 735. Determine h(n(y)).\nAnswer: -4*y**2 + 2940*y - 540225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -26*n**2 + 2*n + 2. Give c(1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 2:10 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 10*w**2 - 9*w + 12. Let r be k(-9). Let i(c) = c**3 - c**2 - 9*c + 2. Calculate the least common multiple of ((-2)\/(-3))\/(8\/r) and i(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 - 13*h - 238 - 16*h**2 + 114.\nAnswer: -16*h**2 - 13*h - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*b - 8. Let j be (-3 + -1)*(-6)\/b. Suppose 0 = -j*s - 10 + 37. Solve 2*l - 3 + s = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 220 by -5.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.041 and 3.634.\nAnswer: 3.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + a = 4*a - 48, -2*a + 4 = 0. Calculate the common denominator of (-377)\/r - (-2)\/14 and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 248074424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1898631.494 to the nearest one thousand.\nAnswer: -1899000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5416 + -1709. What are the prime factors of f?\nAnswer: 11, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12061 is divided by 106.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 290*m**2 - 19*m - 19. Let n be r(-1). What is the highest common divisor of n and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 52 + -331?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + 6 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(44) + sqrt(44) + 2)**2.\nAnswer: 24*sqrt(11) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3483.9 + -3327. Let m = 157 - u. Which is the smallest value? (a) 0.3 (b) 1\/5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + (34 - 48) + 22 + (-58)\/(-6)?\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.07 + -7.07. Let n = z + 7.009. What is n rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2 + 6*u**2 + 5 + 3 - 12*u. Calculate the lowest common multiple of 18 and c(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -211401851.2 to the nearest 1000000.\nAnswer: -211000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0.88. Which is greater: x or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 2*i - 62. Let s be g(0). Let o = s + 87. Suppose -o = 11*w - 80. Solve 3*m - 5 = -5*c - 40, m + 25 = -w*c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 577*i - 12555 = 112*i. What is the highest common factor of i and 14544?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -139 - -139. Suppose 2\/5 + t*l**2 - 2\/5*l**4 + 4\/5*l**3 - 4\/5*l = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 0*s**2 + 0*s**2)*(0*s**2 + 2*s**3 + 0*s**2 + (0*s**2 + 0*s**2 - s**2)*(-1 + 1 + s)) + 98*s**5 + 284*s**5 - 53*s**5.\nAnswer: 326*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*-1*(-8)\/120. What is the third biggest value in l, 2\/7, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**2 - 2074240*j.\nAnswer: -5*j*(j + 414848)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 25 = -3*o. Suppose 3*v = 5*l - 39, o = 2*l - 3*v - 16. What is the smallest common multiple of 48\/6 + 0 + 0 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-172)\/(-12) - 1\/3. Suppose f = 2*y - 126. What are the prime factors of y?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4 - 821?\nAnswer: -823.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11c4 (base 15) to base 12\nAnswer: 2234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 3802?\nAnswer: 11\/3802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 4.07.\nAnswer: 0.407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 370 = 79*o + 1013 + 223 for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-11)\/(11\/(-3)) + -1. Solve -h*m + 0*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, y: 1, e: 1, q: 4, g: 1, k: 4}. What is prob of sequence eye?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 583117 and 4471?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j. Let u(c) = -9*c + 17*c + 435 - 4*c**2 - 435. What is x(u(d))?\nAnswer: -8*d**2 + 16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149154 + 2084 = 2909*j + 59469 for j.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + b - 35 = -39, 0 = 2*t + 2*b - 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*w + 5*w + 7*w)*(-3 - 1 + 2) + 6*w + 3*w - 4*w in the form f + u*w and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000544619 to 7 decimal places.\nAnswer: 0.0000545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91)\/7*249\/(-1079)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -26*j**2 + 6. Let k be n(-3). Let i be 1 - (k\/4 + 4). What is i rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 40\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59101511?\nAnswer: 7, 8443073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -0.3, -0.4, -1\/3, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 168*r**2 - 627*r - 4788. Calculate c(164).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 211222221122 (base 3) to base 14.\nAnswer: bad7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 4*m = -30 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 357?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -7*f**3 + 190*f**2 + 70*f - 912. Give a(27).\nAnswer: 1707","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35*8\/2200 - 1*14\/(-35).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 130572 and 12960.\nAnswer: 5222880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 179 - 56 - 2*k**2 - 63 - 60. Let o(s) = 47*s. Give o(t(g)).\nAnswer: -94*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8688, 8799, 8984, 9243?\nAnswer: 9576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, 2\/7, 3 in descending order.\nAnswer: 3, 1.5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -848 - 3?\nAnswer: -84b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**2 + 5*q + 4. Suppose -5 - 15 = -5*x - 4*r, 0 = -2*x + 4*r + 8. Let f(w) = -w**3 + 5*w**2 - 6*w + 5. Let m be f(x). Calculate a(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 232323 - -1?\nAnswer: 232324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t = -871 + 769 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*m - 930. Let x = m + -266. What is the units digit of ((-2)\/5)\/(1\/x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2. Let y(b) = -6*b + 5*b + 9*b. What is n(y(s))?\nAnswer: 128*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.10051 and 0.3?\nAnswer: -0.030153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-9 - -11) + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1496*z - 1498*z + 5*j - 66, 4*z + 5*j = 48. Let w = -17.54 - 0.46. Which is the nearest to 2\/7? (a) 0.3 (b) w (c) -2\/5 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-20)\/(-4))\/15 + (-1)\/21. Let x = 37\/615 - -3\/41. Which is the third biggest value? (a) 4 (b) x (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -334 (base 9) to base 10.\nAnswer: -274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -7.8. Let a = o - -12.2. Let b = 16 - a. What is the nearest to 2\/3 in 2, b, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + 89*k + 106. Let i(j) = -13*j + 1153. Let t be i(92). Calculate y(t).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*o**4 + 36748882*o - 36266745 with respect to o.\nAnswer: 8*o**3 + 36748882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -951613.108 rounded to the nearest one thousand?\nAnswer: -952000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 8*t**2 - t + 1. Is 27 a factor of x(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 - -43. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 508479315 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-31 - -46 - 22)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7931, -63426, -214055, -507386, -990987, -1712426?\nAnswer: -2719271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24775, 99065, 222881, 396223, 619091, 891485?\n\"Answer: 24763*n**2 + n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -8. What is the second biggest value in -5, h, 1\/2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 16*t**2 + 3*t - 16. Let a be f(16). Suppose 5*i - 6 = 3*d - a, -3*d = i - 20. Let p(n) = 6*n - 2. What is the units digit of p(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w - 8. Let f be j(-5). Suppose 5*c - f - 3 = 0. Suppose -40 + 100 = c*y. Calculate the greatest common divisor of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 6)*(1656*a - 561*a + 1119*a).\nAnswer: 4428*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2349\/13222 - -5\/1202. Determine j, given that 12\/11*j - 12\/11*j**3 - 18\/11 + q*j**4 + 16\/11*j**2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/30 and -43\/118983567?\nAnswer: 1189835670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/99*-3)\/(9 - 7). Let t = 35\/92 - 3\/23. Which is the second biggest value? (a) t (b) 0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -2*r**3 + 18. Let h(n) = -5*n. Calculate d(h(s)).\nAnswer: -150*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u*u\/(u*u**(-8)))\/u*u\/((u**(-1\/3)*u)\/u*u*u))**3\/((u*u**(-2)\/u)**(-44)\/(u**(2\/7)\/u)**(-30)) assuming u is positive.\nAnswer: u**(-291\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4*(0 + 2) + 2. Let l(g) = 2*g**2 - 4*g + 8. Let s(b) be the first derivative of b**2\/2 - b - 3345. Calculate i*s(r) - l(r).\nAnswer: -2*r**2 - 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/875 and -22\/21.\nAnswer: 2625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3081 and 1659?\nAnswer: 21567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 8) in base 14?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 - 25445152342?\nAnswer: -25445152352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*p = -3*p - 264. Solve 7*z = 5*z + p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 878683754521998249\/436034 + -2015172565720. Let m = 3\/9479 - n. What is the common denominator of 20\/3 and m?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-9))\/(8\/132). Suppose -n + 2 = 3*m. Which is the biggest value? (a) m (b) 0.1 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 8*t**2 + t + 38. Let f be 8\/84 + 1030\/210. Is o(f) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1528756?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*j**3 + 242*j**3 + 113*j**3.\nAnswer: 434*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.896309 microseconds in days?\nAnswer: 0.0000000001261146875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2273299874 to the nearest integer?\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 36?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 20*g - 17 - 177*g + 53*g. Let l(f) = -104*f - 19. Let c(s) = -7*h(s) + 6*l(s). What is the derivative of c(a) wrt a?\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9.2, -3\/29, 110 in descending order.\nAnswer: 110, 9.2, -3\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -93307\/68 + 1371. Find the common denominator of -23\/49 and i.\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -45. Let a = 20.5232029 + -62.523199. Let g = a + o. What is g rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -5*b**4\/48 - 25*b**3\/8 + 10*b**2 + 2*b. Factor k(g).\nAnswer: -5*(g - 1)*(g + 16)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -234 or -233?\nAnswer: -233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 173546*a - 568. Let h be l(34). Let g be 3 + -3 + 0 + 0. Let r be h - (0 - g - 4). Round r to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 65221942?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13006372 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.61 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 53. What is the closest to 0.1 in 1\/2, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - y + 186016. Suppose 9*a - 4*a - 27890 = -3*q, y = 5*q - 2*a. What is q rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 16\/1447 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -10\/7 (c) -2\/9 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1238183736?\nAnswer: 2, 3, 51590989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x + 30. Let l be r(-28). Solve -5*p + 26 = -t, -2*t + 5*t - l = -p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2191000 rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1427204509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 9:06 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -7*n**5 + 15685*n**4 + 790666*n**3 - 1410436*n**2 - 467160*n = 0.\nAnswer: -51, -2\/7, 0, 2, 2290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -7041\/6610?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*w**3 - 1329*w**3 + 231*w**3.\nAnswer: -994*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 8 = -4*d, 0 = -4*d - 6 + 2. Let u be (-7420)\/(-30)*(2 + 25\/(-14)). Sort u, s, -1 in descending order.\nAnswer: u, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6 = x + 2*x, -14 = 5*c - 3*x. Sort -4, 0, c.\nAnswer: -4, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*c + 200*c + 1963 - 13929 = -298*c for c.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/30 and 7\/516588.\nAnswer: 2582940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -60, -493, -1678, -3993, -7816, -13525?\n\"Answer: -63*a**3 + 2*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 793 times -0.14?\nAnswer: -111.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2134.67507 rounded to the nearest one hundred?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-35)\/4 + 5\/(-20). Let z(s) = s**3 + 8*s**2 - 11*s - 5. Let r be z(g). What is the highest common divisor of 13 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8039, 8028, 8001, 7952, 7875, 7764, 7613, 7416?\n\"Answer: -a**3 - 2*a**2 + 2*a + 8040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*p + 95 - 128 = 117 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 754.4 - 753.91. Which is the fourth smallest value? (a) 1\/5 (b) 1 (c) t (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 + q**2 - q**2 - 6 + q**2 + 6 + 3*q**2 - 2*q**2 - 3*q**2 - 2*q**2 + 4*q - 4*q + (-2*q**2 + 2 - 2)*(-2 - 3 + 6) + 2*q**2 - 2 + 2.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 9 - 1. Suppose p = -2*z + 13, -p - p + w = -2*z. What is the third derivative of -p*h**4 + 6*h**4 + 5 - 5 + 3*h**2 wrt h?\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 251 + 386. What is the hundreds digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -260 + 204 = 10*w - 156. Let b be (-20)\/6*(-12)\/10. Solve -w = 2*x - b*x - 4*m, 0 = -5*x - 5*m for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**5\/60 - 9*i**2. Let z(x) be the third derivative of x**4\/6 + x**2. Calculate z(m(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 7 = 19, 2*h = 2*c + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1513154 + 10?\nAnswer: 1513164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 3*z**2 + 6*z. Let v = -2699 + 2702. What is l(v)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**5\/4 - 981*b**4\/4 + 42255*b**3\/2 - 354213*b**2\/2 + 2073519*b\/4 - 2047761\/4.\nAnswer: 3*(b - 159)**2*(b - 3)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k*x**6 + 87*k*x**3 + k*x**2 - 13*k*x - 2*x**4 - 4*x**2 wrt x?\nAnswer: -240*k*x**3 + 522*k - 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**5\/4 - 5*s**4\/6 + 10*s**3\/3 + 20*s**2 + 52*s - 2. Suppose k(f) = 0. What is f?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7375*b - 4206*b - 3673*b)*(1 - 2 + 3) - 2*b - 4*b + 4*b + (2 + 2 - 5)*(-b + 0 + 0) - 6*b + 3*b + b.\nAnswer: -1011*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 3*l**2 + 2*l - 6. Let w be 120\/32 - (-2)\/8. Let s = 12 + w. Let r be (-4)\/s - 51\/(-12). What is x(r)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 6. Suppose j - 4 = -d. Suppose 8 = 4*y - j*y. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqusqqeqq. What is prob of picking 1 e and 1 q?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c8c2 (base 15) to base 9.\nAnswer: -151642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -166, 164, 2\/9, 1?\nAnswer: -166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 6)*(-10*c + 8*c + 12*c) - 88*c - 277*c - 62*c - 126*c - 34*c to v + x*c and give x.\nAnswer: -577","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31894265 - 31894265 - 2*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 634306927 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 6:36 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*i + 80. Let p be 28\/3*18\/12. Let c = i + p. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 117 (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + a. Suppose z + 5*m - 3 = 0, 4*m + 9 = 3*z + 6*m. Let w(n) = 2 + z - 3 - 5*n - 1. Give -w(s) - 2*y(s).\nAnswer: 2*s**2 + 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*v - 66*v + 30*v to i*v + o and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190, -379, -568, -757, -946?\nAnswer: -1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12020221010 (base 3) in base 11?\nAnswer: 70811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2413\/508 + 0 + -4. Let x = 2 - -1. Suppose -3*k = 3*l + 3, -x*l - 9 = k + 2*l. Which is bigger: n or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1681\/987 - 12\/329. Suppose 0 + w*s - 1\/3*s**2 = 0. What is s?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + q**2 + q + 9. Determine y(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3884.006 - -3843.1. Let k = -0.094 + t. Let h = k - -45. Which is the second biggest value? (a) 0.2 (b) h (c) 5\/12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9\/7 (b) 2 (c) -3.9 (d) 5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8162700 and 40813500.\nAnswer: 40813500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -9. Let d = -2 - -3. Suppose -d - 7 = -2*c. Solve -c*t + 21 = w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -715240.5?\nAnswer: -214572.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2016) - sqrt(56))\/sqrt(8).\nAnswer: -19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of r**6\/40 + r**4\/12 - r**3\/6 - 4*r**2. Determine i(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 10*m + 22. What is s(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14724671 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31.18 - 31.68. Which is the second biggest value? (a) -0.1 (b) 0 (c) 1\/125 (d) 0.1 (e) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4 = 3*v, -6*v = -5*v + 4*j - 36 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by -104730.\nAnswer: -6\/17455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(216)*-2 - sqrt(216))\/sqrt(2) + sqrt(27)\/(sqrt(36)*2 - sqrt(36)) + 0.\nAnswer: -35*sqrt(3)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 731 = 16*f. What is the remainder when 91 is divided by f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78667908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -71?\nAnswer: -5\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -492 by -6.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -29295923, -29295921, -29295919?\n\"Answer: 2*h - 29295925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (95\/(-114))\/(75\/108) + (-238)\/10?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/23706 and 68\/1845117.\nAnswer: 11070702","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18848 is divided by 111?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 + g**2 - 14*g**2 - g**2 - 2*g**2 + 2*g**2 + 4 - 2*g**2 - 4 + (5*g + 0*g - 3*g)*(3*g + g - 5*g).\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1723, -4330, -6937?\n\"Answer: -2607*y + 884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 0 + 0. Let r(y) be the second derivative of -11*y**4\/12 + 162*y. What is p(r(z))?\nAnswer: 11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/(-25))\/((-68)\/340).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.058, -83455, -33 in decreasing order.\nAnswer: 0.058, -33, -83455","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, b: 7}. Give prob of sequence bccb.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47384471.\nAnswer: 367, 129113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzi when three letters picked without replacement from {z: 7, k: 2, i: 4, q: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -463 divided by 1.\nAnswer: -463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 111 (base 5) to base 13\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -169 - -169. Solve -i + 2*o = 0, -3*i + v*i + o - 5 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 43. Suppose 3*k - o = -k. Suppose k*p - 4*p = 894. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129079?\nAnswer: 29, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/5 - 180062*n + 900308\/5 = 0. Calculate n.\nAnswer: 1, 450154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y**2 + 4*y - 4. What is the remainder when v(3) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4 - 11\/(-1) - 2. Suppose 0 = -o*z + 4*f + 314, z = -5*f + 38 + 19. List the prime factors of z.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.545 + 1.045. Which is the biggest value? (a) -2\/7 (b) 5 (c) v (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 14*h + 31. What is v(11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**3 - 52*s**2 - s + 32. Let z be t(26). Solve -z*m + 2*m + 5 = 3*c, -5*c - 3*m = -1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 199988425 and 91.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence al when two letters picked without replacement from hhhhaaaaahaaalaaha.\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) - ((2*sqrt(1573))**2 + -2).\nAnswer: -6290 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2228783213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1706 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-11 + 1 + 10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15\/(-12))\/((-330)\/8976). Solve 51 = l*t - 17 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47384329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -e2 (base 16) in base 15?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4263 divided by 1.\nAnswer: -4263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 988 minus 5085.1?\nAnswer: -4097.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-136)\/(-969)*4*(-27)\/(-144)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3*k**2 + 16*k - 4. Calculate h(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 36\/10*(0 + 5). Suppose 0 = a*d - 853 - 2243. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(7) + 1)*6 - (2 + sqrt(49)\/sqrt(7))) + 4 - (-2 + (-5*sqrt(77)*2 - sqrt(77))\/sqrt(11)*2))**2.\nAnswer: 540*sqrt(7) + 5203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 4:44 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 5 (c) 18 (d) -0.54 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -57695 (base 11) in base 10?\nAnswer: -83352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9182.166t in nanograms?\nAnswer: 9182166000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j + 2. Let v(w) = 3*w + 5. Give 5*d(o) - 3*v(o).\nAnswer: o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74252, -74251, -74250, -74249, -74248?\nAnswer: -74247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(-2) + 3\/(-6). What is the tens digit of (-4)\/(-1 - b\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526296?\nAnswer: 2, 3, 21929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 101105270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 44710078 at least as big as 44710079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a day in hours?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 (base 2) in base 12?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -24 * 0.1\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 6:11 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*a - 24 = -309 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + 25*g**3 + g**4 - 25*g**3 + (-4*g**2 + 15*g**2 + 11*g**2)*(9*g**2 + 0 + 0) to the form n + t*g**3 + y*g**2 + x*g**4 + d*g and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 - 36. Let n be 8\/(-16)*f*-1. Let r be (1\/n)\/((-15)\/45). What is the second biggest value in r, -1\/2, 0.6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(24\/2))\/((-20)\/(-240))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 71, 192, 423, 800, 1359, 2136, 3167?\nAnswer: 4488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1155907, -2311694, -3467481, -4623268, -5779055?\n\"Answer: -1155787*i - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -631490431, -631490433, -631490435?\nAnswer: -631490437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) -5.575 (c) -0.444\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 72 = -63*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n**2 + 53*n - 17. Let y be t(-13). Let c be 5\/(-9) + (y\/(-27))\/5. What is the smallest value in -1\/8, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - t**2 + (-t**2 + 4*t**2 - t**2)*(-1 - 1 + 3) + 0*t**2 - t**2 - t**2)*(t**3 - 3*t**3 + 0*t**3).\nAnswer: 2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*p - 214 = -654 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a meter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12b65 (base 13) to base 16\nAnswer: -8851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(0 - (34 + -59))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 17 (b) -75 (c) 2\/43 (d) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 105\/4 (b) -1\/10 (c) -9211\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -5 (c) -6.5129 (d) 4\/5 (e) -5\/6 (f) -0.5 (g) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 + -22 - -6) + (24 - 20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a85 (base 12) in base 14?\nAnswer: 4d81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 3*n - 3*n)*(-383 + 159 + 170 + 116) - 3*n + n - n.\nAnswer: 59*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -c + 56, -356 = -5*c + 4*h - 3*h. Calculate the greatest common factor of c and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3094220 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.8 + -3. Let z = f - 0.3. Let n = 13\/9 - 10\/9. What is the closest to -1 in 2, z, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 3 - 13 + 10 + 115*m to z + k*m and give k.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 110374 and -2327.52693.\nAnswer: 108046.47307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1145, -1183, -1245, -1331?\nAnswer: -1441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/60 and -115\/168?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11008*c**5 - 26*c**3 - 672831*c.\nAnswer: 220160*c**3 - 156*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/(2\/60)*(-440)\/(-1100)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**2 - 13*n**2 + 115*n**2 + 12*n**2.\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49 - -364.\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5476748 is divided by 55885.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5666*b**3 + 244*b**2 - 1. Let u(y) = 2*y**3 + 3*y**2 + 1. Let j(k) = p(k) + 5*u(k). Find the third derivative of j(d) wrt d.\nAnswer: 34056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 8*y. Let f(h) = -h**2 + 8*h + 12. Let n be f(9). Suppose 4*c - n = -t, 0 = -c + t - 2*t. List the prime factors of a(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -87015460 to the nearest one hundred thousand.\nAnswer: -87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900)*-1*3)**2 + -3.\nAnswer: 17097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46616.8 - 46617. Suppose 3*a + 2*y = 7, -a - y - y - 3 = 0. What is the nearest to 6 in q, -1, a, -1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.474 - -0.066. Let v = -0.4 + r. Let p = -0.03 + v. Round p to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 2680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4*h + 39 = 311, -4*h - 304 = 5*r. Let f = 68 + r. Let v = -4 - -4. Solve 2*l - 20 = f*b - l, 3*l - 12 = v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, a: 2, o: 2, x: 3}. Give prob of picking 1 x, 1 y, and 2 a.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-195))\/4*(2135\/61)\/7?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 24 = p - w, w = -2*p + 85. What is the remainder when p is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/(v\/v**(-2\/33)*v))*v)\/v)\/v)\/v*v**(-2\/19)*v**1*v*v**(-7\/4)\/v*v*v assuming v is positive.\nAnswer: v**(3023\/2508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 434*f**5\/5 - 2167*f**2\/2 + 1693. What is the second derivative of x(h) wrt h?\nAnswer: 5208*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2434 (base 9) to base 6\nAnswer: 12221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30037*q - 12*q**4 + 91*q**4 - 2282 - 30036*q wrt q?\nAnswer: 948*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9 and 614.44.\nAnswer: 623.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**2*z**2 + 117542959*g**2 + 10808*g*z**2 + 75*z**2 - 2*z + 3 wrt g?\nAnswer: -4*z**2 + 235085918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5247967.\nAnswer: 5247967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 156*x - 44 - 1 + 185*x - 367*x to the form s + o*x and give o.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.33 - -0.03. Let r = -372824.299892 + 372821. Let j = k - r. What is j rounded to 5 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 - (-126 - -20 - 63) - (-2 + -2 + 2).\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 19*q - 16629. Is q a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 141*g**4 + 87*g wrt g.\nAnswer: 1692*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 - 70 - (1 + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n. Let c(o) be the second derivative of o**4\/12 - 6*o. What is a(c(f))?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**2 - 3*q**2 - 545095*q + 545095*q - 4*q**2 + 0*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 2, x: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1)*n)\/n**0*n*n\/((n*n**7*n*n)\/n*n)*n**8 assuming n is positive.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*y = -0*c - 1244, -c = 4*y + 311. Let o = -213 - c. Let l(w) = 7*w + 161. Let x be l(-21). What is the greatest common factor of x and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q - 18. Let k be d(-11). Let y(j) = -95*j - 33. Let z be y(-18). Suppose -z = -k*i - 5*m, i + 801 = 3*i - 5*m. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25140 and 96?\nAnswer: 201120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 24742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 213 + -120. Let t = -86 + n. Calculate the greatest common divisor of t and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-48))\/((-2)\/9). Let x(y) = 9*y - 63*y**2 - 42*y + 62*y**2 - 56 - 5. Let v be x(-31). Is v bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/3304863 and 67\/4406484.\nAnswer: 13219452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -60452636 (base 7) in base 13?\nAnswer: -106a801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2 - 0. Let n(w) = w - 10. Let u be n(14). Calculate the greatest common factor of u and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8965.486 millilitres to litres.\nAnswer: 8.965486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((4 - -4) + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108726, -217712, -326698, -435684, -544670, -653656?\nAnswer: -762642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*f + 27*f - 300*f)*(-f + 2*f + 0*f) + 2*f**2 + 1 - 4 + 2.\nAnswer: -301*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116285 is divided by 260.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -1\/7, -24, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/6)\/((2\/(-55))\/((-27768)\/(-5785))).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6585663815 to the nearest integer?\nAnswer: 81152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (110 + 106 - 216 - 14*k)*(-2*k**2 + 0*k**2 - k**2).\nAnswer: 42*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -365820071*y**3 - 167231657*y wrt y.\nAnswer: -2194920426*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(14) - (sqrt(14) + -2*sqrt(504) + sqrt(14) + sqrt(14)))\/sqrt(2).\nAnswer: 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 3*s = 112. Let z be (1 - 27\/21)\/(2\/s). Suppose 5 = 3*y - 7, z*j + 2*y - 24 = 0. Put 0, j, -2 in decreasing order.\nAnswer: j, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 33277951279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccc. Give prob of sequence ccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8)*31\/(-62))\/((3500\/2352)\/(-25))?\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -433?\nAnswer: -433.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37961?\nAnswer: 7, 11, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17860.71 decades?\nAnswer: 178607.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 5368446.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (-11 - (-29 - 8)) - (26 - -3).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 12*a**2 - 15. Let b(u) = -2*u. Determine v(b(n)).\nAnswer: 48*n**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (30 + -28)*(1 - -1). Solve -2*n - 2*n - m = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v**2 + v + 1. Let x = -312 + 313. Let h(s) = s**2 + s - 1. Determine x*l(r) + h(r).\nAnswer: 5*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 1:20 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12418 divided by 887?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 2*k - 3*k)*(0*k**2 + k**2 - 2*k**2) + 5*k**3 + 1 - 1 + (-5*k + 5 - 5)*(2*k**2 - 3*k**2 + 2*k**2).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 2*w - 56. Let b be a(-16). Calculate the greatest common factor of b and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = x + 2*x, 0 = -2*w - x + 330. What is the remainder when w is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**5\/10 + 3*n**2\/2 - 4*n - 4. Let q(j) be the first derivative of m(j). Find the first derivative of q(f) wrt f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h - 3 + 10*h**2 + 3. Suppose -j + a - 3 = -7, 0 = -4*j + 2*a + 6. Let z be q(j). Solve -f + 3*n - z = 0, 2*f + 2*f = -2*n + 20 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5071597 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -14*t**2 - 66*t + 1. Give d(-4).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41649637 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-33)\/(-5))\/((-9)\/(-45)). Find the common denominator of 68\/15 and (-2)\/6 - 572\/o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - ((-8 - -1) + 4)) + -7 + -2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*c = -890 + 453 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 5*l - 22*l = -252. Solve 34 = -l*w + 62 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 197\/108 + 9814\/(-5608).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104787 is divided by 222.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.4, -1461\/2, -4, 0.022, -1\/2, 0.14?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + c - 40. Let l(b) be the third derivative of -5*b**4\/6 - 31*b**3\/6 - 17*b**2. Calculate the remainder when l(-3) is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43113350 >= 43113350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27258)\/(-59)*8\/12)\/((-4)\/(-1))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 10 (c) -36 (d) -30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 - 1934704*b**3 + 52235064*b**2 - 470109744*b + 1410320484.\nAnswer: 4*(b - 483649)*(b - 9)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 0 + -4 + (-10 - -21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 + 2)*(4 - 6 + 3) - 5 + 16 - 6)*(0 - 14 - 58)*(-2*j**4 + 6*j**4 - 2*j**4).\nAnswer: -864*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, c: 3, m: 4}. Give prob of sequence ymcc.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/4626910 and 29\/1656.\nAnswer: 166568760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1319\/36 + 135\/4. Calculate the common denominator of s and 63\/65.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, 2\/3, -1563?\nAnswer: -1563","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000513592 to seven decimal places.\nAnswer: 0.0000051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2714447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 21588247391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ramazajzaajjzargaazz. What is prob of picking 1 j and 1 a?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1490392?\nAnswer: 2, 186299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1364224*w**3\/7 - 57217984*w**2\/7 - 61694940*w\/7 - 16422732\/7.\nAnswer: 4*(w - 43)*(584*w + 309)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -445*u**4\/12 + 7*u**3\/6 + 14*u**2 - 23*u - 1. What is the second derivative of l(i) wrt i?\nAnswer: -890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1458) - (sqrt(1458)*2 - sqrt(1458)))\/sqrt(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 287094600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + 3*s + 14. Let a be m(-4). Let l be (a - 19)*1\/5. Solve 0 = 3*q - l - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 10:01 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 12:35 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2811 is divided by 102.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 13549?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 28. Let s be (-15)\/10*i - 5. Which is the closest to -0.2? (a) 2 (b) 1\/8 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/6 and -125\/894.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 543341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 216783 + -73923073\/341. Let v = u + 12\/31. Sort v, -3, -2 in decreasing order.\nAnswer: v, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 362999039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d = -308 - 381. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*l + b - 2, -4*b = 4*l. Suppose -l*y + 4 = -1, -a - 2*y + 99 = 0. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 1:24 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 174322044 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.05 (b) -6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 90, 191, 330, 507, 722, 975?\nAnswer: 1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74124 - -117220. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123181.71 rounded to the nearest one hundred?\nAnswer: 123200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 378823, 757651, 1136479, 1515307?\nAnswer: 1894135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.1 (b) 2.5782 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -198953 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101 - -110. Solve -4*y + k*y - 5 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -175*r**2\/2 + 20*r - 17. Let b be y(6). What is b rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2136384 + 306?\nAnswer: 2136701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1529 and -4934.\nAnswer: -7544086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/21)*((b*b\/b**(3\/4)*b*b)\/b)\/b*b*(b\/(b\/(b\/b**(2\/25)*b)))\/(b\/(b*b\/(b\/b**(-2\/15)))))**(1\/50) assuming b is positive.\nAnswer: b**(8677\/105000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165 and 950158?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*z**2 + 1\/4*z**3 + 0 - 1\/4*z**4 + 0*z - 1\/4*z**5.\nAnswer: -z**2*(z - 1)*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -18107, -16468, -13745, -9944, -5071, 868, 7867, 15920?\n\"Answer: -z**3 + 548*z**2 + 2*z - 18656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spq when three letters picked without replacement from spfmpsqmsqafss.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29622, 31701, 33780, 35859?\n\"Answer: 2079*m + 27543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 25 + (3 - -16 - 21) + -6\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 56 = i, -i = -c - 0*c - 74. Suppose -i - 227 = -2*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, f: 2, s: 2, p: 1, l: 2}. What is prob of picking 1 p and 1 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 6*z.\nAnswer: 2*z*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -6*o**2 - 23*o - 41. Let n(g) = -2*g**2 - 8*g - 14. Calculate -17*n(x) + 6*y(x).\nAnswer: -2*x**2 - 2*x - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c1a - -191c?\nAnswer: 2839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20522073 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 2 + 2 + 4 = 4*s + 4, 4 = -s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 1013268000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -10*h**3 - 2*h**2 + h + 2. Let w be x(2). Let o = w + 88. Find the third derivative of 51*m**4 - 4*m**2 - 91*m**o + 52*m**4 wrt m.\nAnswer: 288*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1414717553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -3, -2\/9, 5\/16, -23, 5 in ascending order.\nAnswer: -23, -3, -2\/9, 5\/16, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -87\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 + 1644*w - 25209. Give a(15).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - 0. Let u = -241 + 242. Let j = 0.1 - 0.1. What is the second smallest value in u, j, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*j - 36. Suppose 56 = 22*f + 6*f. Let q(w) = -4*w + 4 - 4*w**2 - 8*w + 4*w**2 + 0*w**f - w**2. Determine q(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(5*v - 9*v - 5*v).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 144.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 5 - (-6 + -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h - 7. Let v(x) = -2*x + 10. Let m(q) = -q + 9. Let f(p) = 5*m(p) - 6*v(p). Let y(l) = 2*f(l) - 5*n(l). Determine y(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 7. What is the remainder when 117 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 41*z - 45*z. Let i = 47 + z. Solve 3\/5*m**4 + 3*m**3 + 12\/5*m + 24\/5*m**i + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10 and -1.4184.\nAnswer: -14.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -31, -16 in descending order.\nAnswer: 1, -16, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 0. Let s = p + 9. Let i = -13 + 12. Which is the closest to i? (a) 3 (b) -1\/2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3116 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5557*g*r**3 + 10*g*r**2 - 3*g*r - 101*g - 736*r wrt r.\nAnswer: -33342*g*r + 20*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -36183, -72386, -108589, -144792?\n\"Answer: -36203*y + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 + -1323223?\nAnswer: -1323202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6634 is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45409 divided by -49.\nAnswer: -6487\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69)\/((-10143)\/343)*18\/(-15)?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*w = -39, -4*l = -w - 3*w + 20. Let j be 62\/5*((-119)\/l - 7). What are the prime factors of j\/155*(1 - -49)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 100552?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*((sqrt(76) - (6*(-1*sqrt(76) + sqrt(76) - sqrt(76)) + sqrt(76))) + sqrt(76))*-4)\/(((2*sqrt(60))\/sqrt(3))\/(sqrt(245)*1)*-5).\nAnswer: 2352*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 + 119a255?\nAnswer: 119a260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**3 + 2054816*y**2 + 263891799616*y.\nAnswer: 4*y*(y + 256852)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - j + 8. Let i be g(-17). Which is smaller: 316 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -441 and -18?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w - 6201 = -6926 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2 + 2)*(m - 5*m + 0*m) - 5*m + 2*m + 0*m)*(4817 + 2132 - 1712).\nAnswer: 5237*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 31, -59, -4168?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/3*(-4 - (-390)\/75)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2 - 5*t + 9. What are the prime factors of g(5)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(-4*j**2 - 4*j**2 - 8*j**2) + 0*j**2 - 2*j**2 + 3*j**2 + (-5 + 4 + 3)*(0*j**2 - j**2 - j**2) - 2*j**2 - j + j + j**2 + 1 - 1.\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 0 - (6 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -15. Let y be 2\/(-7) - (-16)\/d. Suppose -y*c - 11 = 1. Let s(w) = -w**3 - 5*w**2 + 6*w. Calculate s(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -107 + 121 - (-5 - 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 141, 231, 319, 405, 489, 571?\nAnswer: 651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-45))\/((-6)\/(-20)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1412 + 10?\nAnswer: -1402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193 is divided by 50?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64\/5*n**2 - 28\/5*n**3 - 24 + 404\/5*n.\nAnswer: -4*(n - 5)*(n + 3)*(7*n - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 189 + 99. What is the remainder when l is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -629596*l**2 - 2*l - 1559390?\nAnswer: -1259192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.8 and -1.5040193?\nAnswer: 3.3040193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 412*f - 8145 - 1458 - 411*f as a + u*f and give a.\nAnswer: -9603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (2 - (-20 - -13)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -233\/45 + 52\/9. Let k = -1.401 - -1.201. What is the third biggest value in k, u, 0.031?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6, -70, -134, -198, -262?\n\"Answer: -64*k + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*s + 2*r - 52, 1437*r + 7 = 2*s + 1434*r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 926 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/5, -1, 0.9, -2, -1879, -6.5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, -61, -276, -705, -1420, -2493?\nAnswer: -3996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 8*p + 4*p)*(-2*p + 2*p + p**3) + 4*p**4 + 2*p**4 - 2*p**4.\nAnswer: 19*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 8*p + 88 = 0. What is the remainder when 70 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3\/4*p**2 + 21\/4*p + 0 = 0?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**3 + 529 + 521 + 514 + 529 - 2093.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 4*c - 3*c + 5 + 25 - 2*c. Let s be u(0). Suppose -2*h + l = 2*h - 62, h - 9 = -3*l. Solve -2*q - 3*w + h = 2*w, -2*q = -4*w + s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48021?\nAnswer: 3, 16007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by 145959.\nAnswer: 13\/48653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 divided by -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**5\/10 + b**4\/24 + 3*b. Factor o(z).\nAnswer: z**2*(4*z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*h - 6*h - 130 - 38 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/3011154 and -93\/10?\nAnswer: 15055770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28940 greater than or equal to 28991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 110 + -26. Suppose -2*f + m = f. Is f a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4 - 5237*l - 7*l**5 - 2 - 20*l**4 + 9*l**2 + 5442*l wrt l?\nAnswer: -420*l**2 - 480*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**2 + 7*j. Let g(u) = -u + 3. Let m(t) = 2*g(t) + 3*v(t). Let z(b) = 5*b. Determine z(m(l)).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ymvvwmymmmvm. Give prob of sequence mv.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.46 + 0.45938. Round c to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.1 (b) -25 (c) -0.5 (d) -100\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 3*k - 8, 152*x - 315*x + 5*k + 12 = -166*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1 + 4)*7\/63)\/(2\/9). Which is the nearest to -0.2? (a) 15 (b) f (c) 0.5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -5. Let z = s + -5. Calculate the remainder when 426\/21 + (-10)\/35 is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2029*l = 2035*l - 96 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**2 - 18*l + 6*l + 5*l - 5*l = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2 - 2 + 4*m**2 + 3 + 4 - 10*m.\nAnswer: 5*(m - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 11.86.\nAnswer: -4.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2721808 decades to years.\nAnswer: 2.721808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -66 + 68. Suppose -28 = -2*o - 2*a + 42, 3*o + s*a = 104. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -297897500 rounded to the nearest 100000?\nAnswer: -297900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-60)\/50*7*(-35720)\/6. Find the first derivative of 49878 - k**2 - 4*k - w + 3*k**2 wrt k.\nAnswer: 4*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*x + 1488 = -110*x - 202*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 <= -4991\/2574?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/2, -233, -4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5*a**3 - 3883*a**2\/4 + 4131*a\/2 - 288 = 0.\nAnswer: 3\/20, 2, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -7.97. Let j = 0.23 - u. Which is smaller: j or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1683, 1746, 1811, 1878, 1947, 2018, 2091?\nAnswer: 2166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 5:59 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 473 and 989?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21079\/29 - -727. Let j = -103\/116 + w. What is the closest to j in 3, 1\/4, 1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 8) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -117, -3, -5, 14 in descending order.\nAnswer: 14, 5, -3, -5, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x = -2. Let q(j) = j**3 - 3*j**2 - 2*j - 4. Let t be q(4). What is the second derivative of 0*i + t*i + i**2 - x*i wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 13, 15, 17, 19, 21?\n\"Answer: 2*v + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i. Suppose 0*f + 6 = -2*f, -21 = -2*x + 3*f. Let o(m) = 5*m. Calculate x*p(d) + 7*o(d).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -5. What is the lowest common multiple of 80 and j?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 28. Suppose -1 = -2*d + 5*i - 12, y = 4*d - 4*i + 4. Solve -b - d*s - 3 - 5 = 0, 0 = -3*b + s + 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a meter in millimeters?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*y + 88*y - 49*y + 608*y.\nAnswer: 677*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 11 = 2*z + 2*v, 5*v = 15. Solve 4 - z = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1922 times 0.07\nAnswer: -134.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5072*u**2\/3 - 5059*u\/3 - 13\/3.\nAnswer: (u - 1)*(5072*u + 13)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a milligram in micrograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 54*s**2 + 59*s - 5. Let g be w(-55). Let f be (-14)\/(-126) - (7\/g)\/(-1). Let -4\/25*c**3 + 4\/25*c + 0*c**2 - 2\/25 + f*c**4 = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4050808 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4557 and 484437.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -13*y + 5. Is k(-20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4121\/545940 - -4\/337. What is the common denominator of y and -19\/6?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -133303101 + 11?\nAnswer: -133303040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/14 and -48\/5?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1346306740?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2352)\/(-240) + 8\/(-10). Let h(r) = -3*r - 4. Let n be h(-4). Suppose b*p - 26 = -n. Calculate the highest common divisor of p and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 6764*d**2 + 1127438*d - 3443244.\nAnswer: 2*(d - 3)*(d + 179)*(d + 3206)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4702*h**4 - 270*h**2 + 3130*h + 235?\nAnswer: -56424*h**2 - 540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**5 + 5*g**5 - 3*g**5 - 15*g**5 + 735*g**2 - 735*g**2 + (4*g**4 - 2*g**4 - 3*g**4)*(22*g - 41*g + 50*g).\nAnswer: -44*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/110, 3, 377?\nAnswer: -1\/110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4815 - -4817. Solve g + 4*q = -3*g - 32, y = -4*g + 2*q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -60, -77?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 298, 2, 161, -3, 1, 31 in descending order.\nAnswer: 298, 161, 31, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 a, and 1 h when three letters picked without replacement from {a: 2, h: 3, d: 1, w: 1}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - q - 6 + 18)*(q + 0*q + 2*q) + 0*q**2 - 2*q**2 + q**2 + (-3*q - q + 0*q)*(1 - 1 - 2*q) + (3 + 1 - 2)*(-q**2 + 0*q**2 + 2*q**2).\nAnswer: 6*q**2 + 9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2160)*-5)\/(sqrt(132)\/sqrt(99)) + -2*sqrt(500)*1 + sqrt(500) + (-2*(sqrt(500) + (sqrt(500) - 2*sqrt(500))))**2.\nAnswer: -100*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/73505 and 2\/241.\nAnswer: 73505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/(s*s*s\/(s**(3\/7)\/s*s)*s)))**(1\/5)\/((s**16*s)\/(s*(s\/s**(-2))\/s)) assuming s is positive.\nAnswer: s**(-472\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-60))\/(112\/(-280))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-5 + 0) - 3 - 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2384 = 2*h + 2398 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 o, and 2 e when four letters picked without replacement from hooepjeohooe.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/697 + -71847\/9758. What is the common denominator of -45\/4 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*j - 121*j + 5*i = 57, 9 = -3*j - 4*i for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*r)*(-1 - 5 + 1) - 311 + 311 - 38*r - r - r + 0*r.\nAnswer: -50*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - y = -320110. Let k = 7106362\/111 + y. Let u = 2\/37 + k. Is -1 > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03321 rounded to 3 dps?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64.3 - -2.5. What is f rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006 minus -31776?\nAnswer: 31775.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.27, 1\/3, -3 in ascending order.\nAnswer: -3, -0.27, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -509546, -510124, -510702, -511280, -511858, -512436?\nAnswer: -513014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 299 and 26351?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3584 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 264 by -736.\nAnswer: -33\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3 = -18. Suppose -3*b = 3, -2*b - 26 = -s*g - g. Let m(x) = -x**3 + 4*x**2 + 3. Let z be m(3). What is the greatest common factor of z and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 8, u: 5, b: 3}. Give prob of picking 3 b.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 1 - (-3 + -12 + -45 + 66)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 5*k + k)*(-2 + 3 + 0)*(0 - 2 - 1)*(3*k + 4*k - 5*k)*(0*k**2 + 0*k**2 + 9*k**2).\nAnswer: 108*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13377 and 3102827?\nAnswer: 65159367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -28 - -3 - (221 - 253)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-36)\/(-48) + (1149416\/40)\/(8\/10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5807\/7462 - -4\/533. Find the common denominator of (-33)\/(-28)*20\/(-6) and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvpppvvppvvpppvvvp. What is prob of picking 3 p?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 77 = g + 1049, -592 = 3*t + 5*g. Let l be (-3)\/(-5) + t\/(-10). Calculate the highest common factor of 50 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1121, 4467, 10043, 17849, 27885?\n\"Answer: 1115*n**2 + n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -179.1 - -178.999. Which is the third smallest value? (a) -0.5 (b) 6 (c) -2\/7 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*i - 96 - 107 = 82. Solve i = r - 4*u, r - 3*r - 3*u = 25 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*j**2*s**5 - 30*j**2*s**2 - 2*j**2*s + j**2 + 328*j + 19*s**2 - 7*s wrt s?\nAnswer: -720*j**2*s**3 - 60*j**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + ((-1)\/1)\/1. Calculate the remainder when ((-42)\/(-9) - 4)*7*3 is divided by (o + 0)*(-8)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7183?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 29*c - 40. Let l be x(-11). Calculate the greatest common factor of l and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 - 126*h - 975. Let z be m(-54). Which is the nearest to 2\/5? (a) 0.119 (b) 2\/3 (c) z (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 108726037?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 + 5 + -944 + 880?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from peecnchj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.76*-706.29\nAnswer: -536.7804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-6))\/(-4 - (-75)\/18). Solve -g = -3*d + u, -2*d - 5*u + u + 24 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1025 = -241*i + 242 - 1627 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3964 - 2.3574. Let t = u + -0.039. Let j = -9 + 5. Which is the nearest to 0? (a) t (b) j (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1201, -3550, -7461, -12934, -19969, -28566, -38725?\n\"Answer: -781*y**2 - 6*y - 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6.7*160597\nAnswer: -1075999.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(8\/3)*g**(-3)*(g*g*g**(5\/2))\/(g*g**3) assuming g is positive.\nAnswer: g**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2565.22678 and 0.109?\nAnswer: 2565.11778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 55*a**5 - 75*a**4 - 6210*a**3 + 2380*a**2 + 19800*a = 0.\nAnswer: -10, -18\/11, 0, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + 2 + 2 + -5. Suppose -p - 3*v + 53 = w, -5*v + 196 = 4*p. Calculate the greatest common factor of p and 539.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01619 times -0.07?\nAnswer: -0.0011333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -228.5*0.57943\nAnswer: -132.399755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 + 4. Let q = 26 + 41. Let y = q - 60. Sort p, 5, y, -1.\nAnswer: -1, p, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78103 divided by 1\nAnswer: -78103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + -1 - (-5 - 0). Let z = -1.56 - -1.46. What is the closest to z in -2\/9, -5, s?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/(-38)*1*(-2)\/12*136.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26435 or -26460?\nAnswer: -26460","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6112 rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/(-44) - 81360\/(-3960)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/42 and -39\/324146.\nAnswer: 6807066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -48*v + 1110 wrt v?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6433 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b + 3. Let n be 4 + (2 + -1 - 4). Let q(d) = 3*d + 3 + 2 - 4 - 4*d. Give n*l(w) - 5*q(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 8*b, 4*d = -2*b + 24. What is the smallest common multiple of d and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3574767 and 2247?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*b + 50, -2*g + b - 40 = -b. Let r = -19 - g. Solve x - 2*x - 2 = r*s, 9 = 4*x - 5*s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/42*-3)\/(6\/(-24))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.918 + -2.9180087627. Round o to seven decimal places.\nAnswer: -0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 17. Which is the closest to 0.2? (a) -0.3 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 533520?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -110502 divided by -14\nAnswer: 7893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -55 (base 6) in base 8?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -593*j - 766 wrt j?\nAnswer: -593","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = x - 85 + 84, -2*m - 7 = 5*x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (11 - 39\/(-6))\/2\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -13 - 2. Let m = -4.6 - -50.6. Let u = m - 47. What is the second smallest value in u, -2\/3, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.1 and 1.05476286842.\nAnswer: 2.15476286842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 2)*(0*o + 2*o + 0*o)*(-7 - 3 + 0).\nAnswer: -60*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73316*c**3*z - 62*c**3 + 2394146*c**2*z + c**2 - 2*z wrt c.\nAnswer: -439896*z - 372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*p - 138*p - 228*p + 72*p.\nAnswer: -400*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2.22 (b) -0.32 (c) -2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/61, -0.03, -0.0047?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**3 - 13*m**2 + 12*m - 9. Let k be g(8). Let d(n) = 10*n**2 - 9. Let i be d(2). What is the greatest common factor of i and k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -11*w**2 + w. Let t(a) be the second derivative of 5*a**3\/6 - a**2 + 23*a - 2. Give m(t(v)).\nAnswer: -275*v**2 + 225*v - 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86\/63 - 2\/63. Let a = -4825\/22 + 2088\/11. Calculate the common denominator of a and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -8*f - 3*f + 9. Which is greater: f or 41\/306?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -92 + 98. Solve -2*o + c*o = -4, -2*v + 1 = o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4222 (base 5) to base 15.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 10. Let g be s(8). Let t(p) = g - 2*p - 2 + 2 - 3. What is t(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-523*y - 171*y**2 + 260*y + 264*y)*(3*y - 2*y + 0*y).\nAnswer: -171*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**4\/12 - v**3\/3 + v**2 + v. Let y(w) = -5*w**2 - 4 + 3*w**2 - 9*w - 1 + 14*w. What is 5*r(j) + 2*y(j)?\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -26*d + 110. Give a(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 151409 and 4669.\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtppqptmrttqwtw. Give prob of picking 1 w and 1 p.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*v**2 - 7*v**2 + 589*v**4 + 197*v - 588*v**4 wrt v.\nAnswer: 12*v**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 10 + 2*s - 26 + 16. Let x(n) = -2*n**2. Give x(i(r)).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 - 3*o**2 + 3 + 6*o**2.\nAnswer: 3*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 2 = p. What is the remainder when -16*p*2\/(-6) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8395, 8407, 8419, 8431, 8443, 8455?\n\"Answer: 12*l + 8383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397823.\nAnswer: 31, 41, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -4, -2\/25, 4?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*p + 2 - 10 + 391*p + 8 as d*p + j and give d.\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 559, 779, 999, 1219?\nAnswer: 1439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -122933.53 times -4?\nAnswer: 491734.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 43 + 17. Suppose 3*j - u = -0*j. Suppose -j*w = -3*w + 2, -2*n - w - 2 = 0. Solve 4*p - 7 + 11 = n for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -97.284947 and -3?\nAnswer: 94.284947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -16*z**2 + 13*z + 12. Let w(d) = 12*d**2 - 11*d - 13. Let n(m) = -4*c(m) - 5*w(m). What is n(-3)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13877.8 times 21?\nAnswer: 291433.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -146 greater than -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -407 and 1\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t - 10. Let h be b(-10). Suppose 0 = 4*u + h - 6. Let p = u + 17. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.5 not equal to 2.00232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -428, -2, -2.4, 0.4 in decreasing order.\nAnswer: 0.4, -2, -2.4, -5, -428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000014353 to 7 dps.\nAnswer: -0.0000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 25. Determine g(18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1807*t + 2*j = -1789*t + 54, 101*t - 104*t + j = 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*h - 14*h = -55. Let p(c) = c**3 + 10*c**2 - 12*c + 12. Let g be p(h). Is g smaller than 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**10*z**(-2\/21)*((z*(z*z**8)\/z)\/z)\/(z**(-17)\/z) assuming z is positive.\nAnswer: z**(754\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*a - 3 = 0, -a = -2*t - 0*t + 13. Suppose 5 = 4*f + 5*n, 2*n = -4*f + t*n - 45. Calculate the least common multiple of 10 + f + (3 - 2) and 17.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k. Let g be m(-7). Let d be (-6)\/21*g\/6. Let -2\/3*a**5 + 0*a + 2\/3*a**3 + 0 - d*a**4 + 2\/3*a**2 = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111000111100000010011 (base 2) to base 11\nAnswer: -1064844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 78.31 + -78. Let k = 608.663 + -609. Let u = k + z. What is u rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/937 + -985\/22488. Let z = 43\/120 - l. Which is the biggest value? (a) -1 (b) z (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 14.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.61 (b) -1\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 3. Let c = b + 0. Let w(r) = r**3 - 7*r**2 + 2*r - 16. Let j be w(7). Put c, 5, j in ascending order.\nAnswer: j, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*f + 1 + 1 - 5*f.\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -214*n**6 - 1821*n**2 + 1047*n**2 + 55*n**6 wrt n.\nAnswer: -19080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n**3 + 1115*n**2 + 553025*n + 689500 = 0. Calculate n.\nAnswer: -140, -5\/4, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*p, -4*p - 17 = -5*j - 67. Let a be (-52)\/j - 2\/(-7). Let c(i) be the second derivative of -i**4\/12 + i**3\/3 + 3*i**2\/2 - i. Give c(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*b**4 + 3*b**3*z**3 - 114*z**3 wrt b?\nAnswer: -28*b**3 + 9*b**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -7*b**2 + 14*b - 3. Let d(l) = -12*l**2 + 30*l - 5. What is -3*d(k) + 5*u(k)?\nAnswer: k**2 - 20*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11937021 less than 0?\nAnswer: -11937021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 526713 and 81?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 2\/11, 0, -0.10875 in decreasing order.\nAnswer: 43, 2\/11, 0, -0.10875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424135616.\nAnswer: 2, 6627119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*p + 12*p + 0*p)*(4*p - 5*p + 3*p) - p**2 - 2*p**2 + 2*p**2 + 3 - 3 - 6*p**2)*(0*p**3 - 2*p**3 + 4*p**3) - 35*p**5 + 46*p**5 - p**3 - p**3.\nAnswer: 33*p**5 - 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-6))\/((-1)\/(-12)). Let c be (-35)\/(-15) - 1\/3. Let v be 50\/(-6) + c\/6. What is the smallest value in l, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2. Let t(l) = 3*l - 15. Let k(r) = -2*r + 4. Let q(m) = 2*k(m) + t(m). What is -21*f(h) + 6*q(h)?\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*4*(-5*(2 + sqrt(162))*3 + 3*3*sqrt(162)*-2)*-3)**2.\nAnswer: 23094720*sqrt(2) + 229804128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -4) + 10 + 16 + -23?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 - 2*u + 8. Let w = 18 + -24. Let b be v(w). Let k = 56 - b. Is 27 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 PM and 12:53 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/5 >= -3203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19c89ac (base 14) to base 9.\nAnswer: 26162434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 9412?\nAnswer: 47060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*o**4 - 4*o**4 + o**4 + 7*o**2 wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 8, 2, 0 in increasing order.\nAnswer: -2, -1, 0, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1221 (base 4) to base 16.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-20)*3\/(-2)*1. Put -2, 1\/7, 2, d in descending order.\nAnswer: 2, 1\/7, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 448.8 + -445.2621. What is r rounded to 1 decimal place?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.7, -5, -0.1, -3\/8, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + h + 8. Let k(f) = -2*f - 6. Let c be k(h). Suppose -2*w - 5*o = -16, 2*w - o - 24 = -c*o. What is the remainder when w is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83537, 83546, 83553, 83552, 83537?\nAnswer: 83502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2313 a factor of 767317775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**2 - p**2 + 1 + 10*p - 49*p**3 - p**2 + 5*p**2. What is the tens digit of u(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 - 456 = 4*a. Let q = a + 126. Let i be (q*-5)\/(14\/(-70)). What is the greatest common divisor of i and 200?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 15. Which is the nearest to -3? (a) n (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/30 and 123\/50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 10*v + 4. What is m(-3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 541352 and 57232?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -88.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -26. Let s = -54 - -34. Let t = -24 - s. Which is the nearest to 0.5? (a) u (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -198*a + 133*a - 6*a - 165*a - 203*a to u*a + s and give u.\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2))**(-4\/39)\/(a*a**(-1\/2))**(-37) assuming a is positive.\nAnswer: a**(1451\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130 - 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 4*i = -2*o + o + 25, -o = 2*o for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101210010220120 (base 3) to base 15.\nAnswer: -782e53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18822 = -720*n - 16445 + 5747 for n.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 10.9, 286, 2\/21, -0.875 in descending order.\nAnswer: 286, 10.9, 2\/21, -0.875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.6409239 decades?\nAnswer: 6.409239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-80))\/((-24)\/180).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37894716 = -85*h + 97*h. Suppose 6533679 = -4*w + w. Let n = w + h. Round n to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 345159.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-12684)*(-56)\/70*-10?\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 0*i**3 + 1227*i + 199*i + 2908*i**2 + 348*i - i**3 - 2826*i**2 wrt i?\nAnswer: -6*i + 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k, -t + 5*k + 5 + 4 = 0. Suppose -4*o = -t*o. Let w = -13 + 11. Put -4, w, o in decreasing order.\nAnswer: o, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 65*k**2 + k + 130. Let j(i) = 23*i**2 + 44. Let f(t) = 17*j(t) - 6*m(t). Determine f(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.30827ng in milligrams?\nAnswer: 0.00003230827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -76366, 1\/3, 20, -5?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-190)\/(-7) + (-33)\/231 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.592*3782.\nAnswer: -6020.944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.5 times -0.19?\nAnswer: 16.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - 2. Suppose 0*l - 2*l + 2*g + 20 = 0, 4*l - 25 = g. Let n be i(l). Suppose 2*b - n*v - 92 = -5*v, -4*b + v + 204 = 0. Is 27 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*z**3 + 306*z**3 - 180*z**3.\nAnswer: -36*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 11:45 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1145, 4455, 9971, 17693, 27621, 39755, 54095?\n\"Answer: 1103*s**2 + s + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*sqrt(567)*-1 + sqrt(567)*2 + 0))**2 + (3*(-2 + -3 + (sqrt(567)*-5 - sqrt(567))))**2.\nAnswer: 4860*sqrt(7) + 183933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 194685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189 and 3456.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 443179723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(112) + -4)*-5 - ((sqrt(252) + 0 + sqrt(252) + 3)**2 - sqrt(252) - (-2*sqrt(56)\/(-2*sqrt(8)))**2).\nAnswer: -1130 + 54*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40.229 - 40. Let v = -36 + 35.79. Let x = j + v. What is x rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hllhlhhlhlhlh. What is prob of sequence lllh?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * 106.\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.5, -88, -2\/11 in decreasing order.\nAnswer: 5, 0.5, -2\/11, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 6636.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3\/3 - 22*y**2\/3 + 84*y = 0. What is y?\nAnswer: -18, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/12)\/(4 - 20\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 148 = -4*u + 183, -5*u + 58 = s for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 15 - (-3 - -4). Let y(m) = -6*m - 14 + 7 + t. Let d(q) = -4*q + 5. Determine 7*d(s) - 5*y(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 193\/208256 or -1?\nAnswer: 193\/208256","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*b = -25, -3*b + 52 - 18 = 5*i. Let p be 18\/1*1*2. Solve 0 = 4*g + 5*u + 3 + 1, 4*g = i*u + p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 + -15. Let t(j) = -7*j + 5. Let p(q) = 20*q - 14. Let g(u) = -6*p(u) - 17*t(u). Let c be g(-5). Calculate the greatest common divisor of c and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 44 = 4*d, -2*c - 4*d + 22 + 34 = 0. Solve 4 - 12 = -2*m + j, -3*j = 5*m - c for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 45*u.\nAnswer: -3*u*(u - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -396*c**2*g*i**3 - 2*c**2*g*i - 107*c*g*i**2 wrt i.\nAnswer: -2376*c**2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 100*n + 1506. Let v be y(13). Let d = 23.2 + -23. Which is the closest to d? (a) -1 (b) 3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z**5\/7 + 186*z**4\/7 + 5566518*z**3\/7 + 12987792*z**2\/7 + 9276819*z\/7 + 265050 = 0.\nAnswer: -775, -1, -1\/3, 798","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2545 + -1a1?\nAnswer: 2354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/4 (b) -2 (c) -0.05 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**2 + 9656*x - 9657 = 0. What is x?\nAnswer: -9657, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + 0.3. Let l = x - -0.2. Which is the second biggest value? (a) 1 (b) -1\/6 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81634029*h**3 - 210251610*h wrt h.\nAnswer: 489804174*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -956020, -1912041, -2868060, -3824077, -4780092, -5736105?\n\"Answer: k**2 - 956024*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*o + 81*o - 9*o - 5*o.\nAnswer: 106*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302782?\nAnswer: 2, 151391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 4, 0.02, 2\/91, -1?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -224 + 225. Let b = -17 - -18. What is the highest common factor of b and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2838)\/572)\/((-121)\/3146).\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 781 - 728. Let b(m) = -m**3 + 54*m**2 - 40*m + 118. List the prime factors of b(p).\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1 - 22) + (826 - 802)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.2 - 0.8. Let n = -229\/6 + 75\/2. Which is greater: n or q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-27))\/(8\/(-6)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4170095199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -6*k**3 - k**2 - k - 2. Let r(t) = -t**3 - t**2 - t - 1. Let p(s) = c(s) - r(s). Let y be p(-1). Solve -n - 4*n + 3*x = 2, -y*n + 3*x - 1 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 125884776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5096 (base 13) to base 4\nAnswer: 2231210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 275 and 122700?\nAnswer: 1349700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**4\/7 - 906*l**3\/7 - 79911*l**2\/7 - 248244*l - 1576596 = 0. What is l?\nAnswer: -137, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 y when two letters picked without replacement from {x: 1, y: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -492 or -43250?\nAnswer: -492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/(-6))\/(14\/21). Suppose r = -q*r. Suppose r*f = -3*i + 3*f + 1227, i - 2*f = 409. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -337.1 + 337. Let f be 2 + -1 - (-3)\/3. Suppose -3*i = -4*v + i - 16, 4*i = -f*v - 20. Which is the third smallest value? (a) v (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 13213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -11, -20, -31, -44?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-6\/13)*s*s**7*s*s**(12\/5)*s*s\/s**(7\/3) assuming s is positive.\nAnswer: s**(2443\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3746492 is divided by 125.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22744812022 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -120\/101893 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 921255991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a hour?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(152)\/((sqrt(32)\/sqrt(4) + sqrt(8))*-1) + 4 + 1.\nAnswer: -sqrt(19)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 30*f**3 + f**2 - 1. Calculate b(-1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/5 + 713\/115 + -1. What is the closest to 1 in j, -4, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -15 (c) -1\/2 (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 2*w - 4 - 2, 0 = f + 4*w + 3. Suppose f*x = x + 12. Solve -z + 8 = x*i, -4*i + 5 = -3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.6, 0.1, -1, -3\/4, 972, -4, -5\/6?\nAnswer: 972","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 6*t**2 + 3*t + 4. Suppose 0 = -3*b - 3*a, 5*a = 3*b - 6*b. Let i(s) = -s**3 - s**2 + 5. Let l be i(0). Let j = b + l. Determine m(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.032 + -11.032. Let t = 7 + p. Which is the closest to -1\/4? (a) t (b) 2\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - -9. Let a = -21 + 39. Let o = -14 + a. Solve 4*u + j - 2*j = 9, o*u + j = t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -6.9, -5, 3, 0.5, 0.9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k. Let f(w) = w - 5. Suppose -179 = -v + 44. Let t = 225 - v. Give t*d(g) + f(g).\nAnswer: -g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2984 + 3032. Which is greater: n or -2\/67?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 7 = -3. Let q = d - -10. Let i = 11 - q. Solve 0*o - 3*o + 2*g = -5, -i*g - 13 = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**3 + 2 - 31*g**4 + 63*g**4 - 3 - g**3 as f + b*g**2 + r*g**4 + j*g + n*g**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39 - -1. Let s be (-3 - g) + (0 - 1). What is the highest common factor of s and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -999, -1102, -1209, -1320, -1435, -1554, -1677?\n\"Answer: -2*y**2 - 97*y - 900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*x - 5. Find the common denominator of (6\/8)\/(x\/(-130)) and -7\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmjgjmmggjjj. Give prob of picking 4 m.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -5*i + c + 58, -4*i - 2*c + 48 = 0. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14\/33 + -12\/11. Which is the biggest value? (a) 3\/8 (b) 4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 33429600 and 2.081409.\nAnswer: 33429602.081409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -79.5489 rounded to the nearest integer?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t. Let o(n) = -5*n**2 + 9. Let y(l) = -l**2 + 8. Let q(c) = 6*o(c) - 7*y(c). Calculate h(q(a)).\nAnswer: -69*a**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -46*j - 277. Determine q(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(704) + 0)*-5 + 3)**2 - (-1 + sqrt(132)\/(sqrt(33)\/(3*sqrt(11)))).\nAnswer: -246*sqrt(11) + 17610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203 a factor of 41102603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 933052.2g?\nAnswer: 0.9330522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -722471 and -0.2.\nAnswer: 144494.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 13*h**2 + h**2)*(4*h + 3 + 9*h**2 - 11*h**2 - 5*h).\nAnswer: -24*h**4 - 12*h**3 + 36*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 131376 divided by -131376?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8630414 to the power of 1\/3, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -80600*o + 1. Let t(i) = i - 5. Let p be t(4). Let q be g(p). Let m = q + -45601. What is m rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 290, 676, 1136, 1706, 2422, 3320?\n\"Answer: 6*o**3 + o**2 + 341*o - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 254 divided by -9454\nAnswer: -127\/4727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 163, -12, -96, -5, -4, -1 in decreasing order.\nAnswer: 163, 1, -1, -4, -5, -12, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-9 + 2 + 6). Let m(c) be the third derivative of 0*c**4 + 1\/3*c**g + 7\/60*c**5 + 0 + 0*c + 3*c**2. Differentiate m(s) wrt s.\nAnswer: 14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 812059, 1625202, 2438345, 3251488, 4064631, 4877774?\nAnswer: 5690917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(72) + 5)**2.\nAnswer: 60*sqrt(2) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 26. Let m be 12\/(-66) + 70\/j. Suppose 13 - 3 = 2*a + m*p, 0 = 3*p + 12. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3248814367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -23*l**2. Let d(w) be the first derivative of -5*w**2\/2 - 28. Give d(v(s)).\nAnswer: 115*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * -5396.\nAnswer: -64752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 17*o - 5. Let l be i(13). Suppose -g + 2*g - 54 = -n, -4*g + l = -2*n. Let v = g + -42. Solve -3*y = v, 0*p + 3*y = -3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*b + 1, 0 = 4*p + 2*b + 12 - 28. Solve 0 = 4*s - 3*i + 7, s - i - p = 5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -25 + -3 + 6?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -590 + -1?\nAnswer: -591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52065 - 13120421\/252. Find the common denominator of -53\/114 and o.\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**5 - 9*g**4 + 10*g**3 + 30*g**2 - 11*g - 21 = 0.\nAnswer: -1, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 108*z**2 - 317*z - 2. What is d(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(7) + -3 + (sqrt(343) + -2 - sqrt(7)) + 5)**2.\nAnswer: -40*sqrt(7) + 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 5*f**2 + 6*f. Let g be q(1). Suppose g = 6*r - 597 - 639. Is r a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1148 divided by -606?\nAnswer: -574\/303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 9*g - 17. Is r(-11) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 - 11205*o + 134028.\nAnswer: 3*(o - 3723)*(o - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 66 - 5*l**2 - 5*l**2 + 3*l**2 - l**2.\nAnswer: -8*l**2 + 2*l + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 45482 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 33*q**2 - q. Let k(j) = -2*j. Determine i(k(c)).\nAnswer: 132*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b - -1c04c?\nAnswer: 1c021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 73 = 2*m, 0 = -0*m + 5*m - 4*k - 202. Suppose -m*j + 34*j = -408. List the prime factors of j.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.32 and 1.707.\nAnswer: 2.25324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f - 1 - 3*f**3 + 2*f**3 + f**5 - f**3 + 2*f**5 - 2*f**5 - 2*f**5 + (f**3 + 0*f**3 - 2*f**3)*(-f - f**2 + f) - 350*f**5 + 232*f**5 - 342*f**5.\nAnswer: -460*f**5 - 2*f**3 - 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, w: 1, y: 1, f: 5}. What is prob of sequence mwf?\nAnswer: 5\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than 2\/295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 117 and 66?\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 199 + -192. Calculate the remainder when 15 is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/10*(-300)\/216*6. Let t = 119 + -69. Calculate the greatest common divisor of t and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505 is divided by 497.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 383500166 and 2303.\nAnswer: 2303","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 20 = -5. Let z(n) = 10*n**3 - 3*n - l*n**2 - 5 - 4*n**3 - 8*n**3. Let s(b) = -10*b**3 - 24*b**2 - 14*b - 24. Calculate 3*s(g) - 14*z(g).\nAnswer: -2*g**3 - 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 292, 4, -3 in descending order.\nAnswer: 292, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8666765?\nAnswer: 5, 1733353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = 2*a. Solve -3*w + 9 = -3*f - a*w, 4*w = -3*f - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59849.14 litres to millilitres.\nAnswer: 59849140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-9) + 1 + (-4)\/18. Let m be 15\/(-21) + 2 - 1. What is the closest to p in -2, 1\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of 30*d**7\/7 - 7*d**3\/3 + 25. What is the third derivative of r(y) wrt y?\nAnswer: 3600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 493 + 496 + g - 989.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 210 - 120. Let z = -8752 - -8812. Calculate the greatest common divisor of q and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/318135 and 11\/205105?\nAnswer: 102757605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 890 = -86*v + 30. Let d be 38\/(-4) + 2\/4. Is d equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 50 - 86. List the prime factors of (0 - -1)*n\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -214, -13, 314, 761, 1322, 1991?\nAnswer: 2762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 120295929 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.138 times -0.3?\nAnswer: 0.0414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -865395 divided by -3?\nAnswer: 288465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6222 + 6221.8. Is z less than 18.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(1\/9)*w*w*w*w*w*(w**14*w)\/w)\/((w\/(w*w**(3\/5)\/w))\/w)**(-4\/7) assuming w is positive.\nAnswer: w**(6542\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ymd when three letters picked without replacement from dumumudyumuuduusuus.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12027 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -26295161\nAnswer: 6\/26295161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 7\/3*a**3 + 0*a**2 - 15*a + 5. Find the first derivative of j(t) wrt t.\nAnswer: 14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/97 and 45\/6887.\nAnswer: 6887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 310 and 1813748620?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + k = 3*k - 36, 2*k - 6 = 0. Let l(c) = 6*c + 8*c**2 - 5*c**2 - 2*c**2. Determine l(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -123\/1360 and -99\/22168.\nAnswer: 221680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2122 + 1221210112?\nAnswer: 1221220011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.02 - -0.04. Let b = x - -0.02. Let q = 3.92 + b. What is the second biggest value in 0.4, q, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3060 and 7724970.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b**4 + 7*b**3 + 5*b**2 - 7*b. Let g(f) = 9*f**4 - 6*f**3 - 6*f**2 + 6*f. Let p(x) = 2*g(x) + 3*r(x). Solve p(a) = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 81.565081?\nAnswer: 82.565081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + n = -2. What is the units digit of 4*(n - 4)\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r - 4. Let c be p(7). Suppose -u + 1 = 0, 0 = -k + 2*k + c*u - 11. What is the least common multiple of k and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/(-18))\/(42 - 40))\/(-7 - (-124)\/18)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 1:39 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 135\/7 + -19. Let p = -39 + 36. What is the nearest to 0.3 in p, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1760 divided by -6\nAnswer: -880\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = j + 507, 4*g - 5*g + 261 = -3*j. Let f = g + -2266\/9. Factor 10\/9*v**3 + 0 - f*v**4 + 8\/9*v - 16\/9*v**2.\nAnswer: -2*v*(v - 2)**2*(v - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 13*z - 14. Let i be c(6). Suppose 42 = f - 3*l, 4*l = -3*f + i + 62. Is f a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 2. Let r(g) = 7*g + 705. What is 6*i(t) - r(t)?\nAnswer: -t - 717","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 45382989 to the power of 1\/2, to the nearest integer?\nAnswer: 6737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 13. What are the prime factors of r(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 43.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + 792. Let o = -547 + r. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/63 <= -26650?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1632 - -3082. Let s = -701 + a. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29, 32, 33, 26, 5, -36, -103?\n\"Answer: -i**3 + 5*i**2 - 5*i + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 7*a = -50. What is the common denominator of (-40)\/(-14) - (-12 - a) and 28\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 347870663 to the power of 1\/2, to the nearest integer?\nAnswer: 18651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**3 + 12. Let h(c) = 7*c**2 - 8415*c + 8415*c. Determine h(k(b)).\nAnswer: 63*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 + 5*v**2 + 6*v - 4. Let u(l) = 7 - l**2 - 6*l - 7. Let d be u(-5). Is b(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1110111101111011000 (base 2) to base 4\nAnswer: -1313233120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2097 - 2072. Solve 4*u + n = 9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 34 = 4*a. Let v = -47 + 52. What is the remainder when a is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/9*(0 + 0). Suppose -w = -m*w. Suppose 0 = -2*b - w*b + 44. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 - 5700*v - 17103.\nAnswer: (v - 17103)*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(189) - -1*sqrt(189)) + sqrt(189))\/sqrt(9))\/(2*sqrt(175)) + -2*sqrt(5808)*-3 + 5.\nAnswer: 3 + 2643*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 898*j**2. Let v(p) = -4*p - 2. Let l(f) = -f**2 + 8*f + 4. Let b(m) = -l(m) - 2*v(m). What is h(b(a))?\nAnswer: 898*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1481? (a) 75 (b) 0.1 (c) -0.3 (d) 3 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 84236.148 microseconds in hours?\nAnswer: 0.00002339893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -4.5. Let f = v - -4. Which is the second smallest value? (a) 2 (b) f (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - v**2. Let f be b(-1). Let j = f + 1. Let z be (2\/(-4))\/(j\/8). Solve 0 = -z*i + 7*i + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4348845?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1631.402 seconds?\nAnswer: 1631402000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 2348820*o - 279467097.\nAnswer: -3*(o - 782821)*(o - 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 59?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1647959 + -8187959. Round j to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0180252 to four decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*o = 55*o - 12360684. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 - 506*d - 1 + 8 + 12 as k + z*d and give z.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 13 - (2 - -1)) + 27 + -23?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*j - 2418 = 0, -3*z - 2515 = -2*j - 97. Let t = z - -5658\/7. Let x = 29083\/4086 + -3\/454. What is the common denominator of x and t?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of f**3\/3 + 5*f**2\/2 + 10*f + 5. Let c be j(10). Let d be c\/50 - 1\/5. Solve -d*w + n = -0*n + 16, -3*w - 4*n = -4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5838 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r + 4. Let x(k) be the third derivative of k**4\/12 + 11*k**2. Let z(t) = 2*n(t) + 6*x(t). What is z(-7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {k: 2, l: 11, z: 6}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.97 + -0.03. Let y = 1.9 + z. Let p = -0.712 + -0.288. Which is the closest to y? (a) -0.1 (b) p (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 168 - -86. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37328 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 33432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tpg when three letters picked without replacement from {p: 1, t: 2, f: 9, g: 4, i: 2, k: 2}?\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66288?\nAnswer: 2, 3, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 0*d + 4*d = -25, -3*d - 30 = -3*v. Let h(s) = s**2 - 2*s - 4. Let b be h(v). What is the second derivative of 0*k + b*k**5 - 7*k**5 + k wrt k?\nAnswer: 80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -497 + 456.6. Let z = -40 - o. Let k = -2.94 + -0.06. Which is the second smallest value? (a) z (b) 1\/6 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44236?\nAnswer: 2, 11059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (12 - 0)\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((144\/440)\/((-3)\/(-10)))\/(-2)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 4*x + 184, x = 3*f - 50 - 129. What is the smallest common multiple of 174 and f?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(95)*-2)\/sqrt(5).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - 7\/(28\/(-24)). Let p be 2*15\/6 + 10. Suppose 0 = o - p - k. Calculate the remainder when 103 is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (10 + -8 - 4) + 1 + 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -1 + 2*p**3 + 5*p + 6*p**2 + 3 - p**3. Is 14 a factor of b(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 441329?\nAnswer: 7, 67, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3 + -3*sqrt(832)*-1)*2*-1)**2.\nAnswer: -14400*sqrt(13) + 749700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9.97 and 0.1?\nAnswer: 10.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1111094343 to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 14*d - 34. Let v be b(-10). Solve 0 = -v*l + 2 - 14 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -445 - 99*a + 445 + (-7*a + 4*a + 9*a)*(-6 + 3 + 5).\nAnswer: -87*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 5*h + 4. Let t(k) = -6*k**2 - 2*k - 1. Suppose -a = -1 + 2. Let y be t(a). What is the remainder when l(y) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 269 divided by 10.\nAnswer: 269\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2540.\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 1 (c) 199\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346293?\nAnswer: 3, 109, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 9316.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - 10*r + r**2 + 2*r**2 - 4*r**2 + 2*r**2 - 2210.\nAnswer: 2*r**2 - 10*r - 2210","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12767957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -111 - (-142 - -150) - (1 + -10)?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5706*r + 70770 = -7728*r for r.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of 0*l**4 - 5\/6*l**5 + 0*l**6 + 5\/336*l**8 + 0*l - 24*l**2 + 0*l**7 + 0*l**3 + 0. What is the third derivative of b(v) wrt v?\nAnswer: 300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3567 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (4 + (sqrt(80) + 1 + sqrt(80) + 0 - 4*(sqrt(80) + 0 - sqrt(80))) + 2 + 2)*2)**2.\nAnswer: 512*sqrt(5) + 1536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64087684 - 4.\nAnswer: 64087680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 4*v**2 + v + 1. Let q(j) = -12*j**2 - 4*j - 4. Calculate 10*i(u) + 3*q(u).\nAnswer: 4*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2409093 to the nearest integer?\nAnswer: 1552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -841, -842, -843, -844?\nAnswer: -845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247 = -44*u - 212 + 107 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 6:53 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33532 (base 6) in base 4?\nAnswer: 1022000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnycynbbb. Give prob of sequence cn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 2 - 2)*(0*r**3 + 0*r**3 + 2*r**4) - 78*r**4 + 3*r**4 - r - 188*r**4.\nAnswer: -297*r**4 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 9768\/113 = 86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 266*z**2 + 14*z - 2. Let x be w(1). Let n = x + 3. Does 45 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8145421 (base 9) in base 8?\nAnswer: -20436111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 smaller than -1065620?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 230.38um in millimeters?\nAnswer: 0.23038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-seven quarters of a minute?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 8, x: 5}. What is prob of sequence xx?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -14. Let d = 7.27 + a. Let k = 0.03 + d. What is the closest to 1 in 2\/7, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1122595094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1461022501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 128 - (-2457 - -2347)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 23\/7 - (-2)\/(-7). Suppose 0 = 2*u - k*u + 57. Suppose 5*w + 135 = 5*y, -3*y + u = -0*w + 3*w. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 2*i - 31. Let r = -20 + i. What is the highest common divisor of r and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -10 - v**2 + 8*v + 9 - 2*v. Let a be f(5). What is the second derivative of -d - d + 2*d**4 + 0*d**a wrt d?\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 4:07 PM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -2, -3250, 2\/5.\nAnswer: -3250, -5, -2, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-762366.\nAnswer: -228709.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - a = 5, -1347808*z + 1347803*z = 4*a + 23 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -390 by 6.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -220 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-867)\/(-3468) + 215\/4.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 6 = -5*s. Let a be s\/(-4)*(2 + -6). Let n be (-46)\/a - (-1)\/3. Calculate the highest common divisor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + -71365.\nAnswer: -71364.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5911361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -609221?\nAnswer: -609218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 36*v + 27. Let g be f(9). List the prime factors of g\/(-9)*(-2 + 1).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 260 - 260.5. Which is the smallest value? (a) -2\/11 (b) 2 (c) m (d) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -23966*h**2*k*z**3 - 9*h*k - h*z**3 - h*z**2 - 3424*k*z**3 wrt h?\nAnswer: -47932*k*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(15\/(-7) - -2). Suppose -b = -g + 1. Suppose -80 + g = -4*l. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47\/57 - 3\/19. Sort 0.1, -4, d in increasing order.\nAnswer: -4, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20.16 - -19.96. Which is the second biggest value? (a) -2\/3 (b) -3 (c) 2 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (624\/260)\/(60\/1125)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -7. Suppose c = -5*d + 4*d - 3, 51 = 4*a - 5*d. Let p(n) = -11*n + a - 9. Let h(x) = x. Give h(p(o)).\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 + 29. Suppose i*h - 5*h = 0. Suppose -6 = -3*o - h*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.22 - 0.12. Let i = -0.34 - -0.04. Let f be (-174)\/29 - (2 + -3). What is the closest to g in 3, f, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 21 - 57 = 0. Let n = -51\/2 - g. Let k = 27347\/5 - 5470. Which is greater: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*u - 1358 = 39*u - 2*r, -4*u + 2*r + 5412 = 0. List the prime factors of u.\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10000.6 + 10001. Which is the biggest value? (a) 0.5 (b) 2\/3 (c) j (d) 0.3 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/9 - 215\/(-45). Suppose i*o = -3*q + 75, 0 = -4*q + 6*q. Does 3 divide (6\/5)\/(o\/100)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 6*q - 1. Let o(z) = z. Let t(n) = -5*o(n) + v(n). Let i(c) = -2*c - 3*c**2 - 21 + 4*c + 19. Let s = -11 - -10. Calculate s*i(f) + 2*t(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b - b + b + 3*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2. Suppose -4*r = -s + 22, -r + 2*r = -4*s + 3. Let p(t) be the second derivative of 0*t**s + 1\/6*t**3 - t + 0. Give p(h(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 256\/7, 0.4, -2, -2\/15, -3\/7, -14?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = m + 2 + 2, -3*m = 3*h - 15. Let c(d) = -2*d + 7. Let v be c(6). Let x = v + m. Let t(n) = n**3 + 3*n**2 - 4. Calculate t(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*n**3 - 66037*n + 66037*n.\nAnswer: -60*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -112\/711 - -30\/79. Sort 34, -1, q in ascending order.\nAnswer: -1, q, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 6*s**2 + 6*s - 4. Let p be l(-7). Let o = p + -1. Suppose -5*x + 34 = -o*d, -5*x - d + 5*d + 28 = 0. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362 bigger than 1361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -770 + 67 = 2*r - 5*f, -4*r - 2*f - 1370 = 0. Let c be ((-2)\/(-3))\/(r\/(-6)). Let u = c - 1357\/215. What is the common denominator of u and -63\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 1)*(-2*t**3 + 427186 + 9*t**4 + 2*t - 427185 + 3*t**2 + 2*t**2) to the form h*t**2 + v*t + b*t**4 + d*t**3 + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -25*m**2 - 626*m + 4771. Determine x(9).\nAnswer: -2888","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 11:56 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 797200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.02706 and -15.\nAnswer: -15.02706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxj when three letters picked without replacement from {j: 1, k: 1, x: 3, c: 3, o: 2}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 1 + 1)*(121*g + 234*g + 286*g + (2 + 2 - 2)*(g + 4 - 4)) in the form v + b*g and give b.\nAnswer: -1286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 517\/44 - 2\/(-8). Suppose 0 = -r - r + l. Suppose 16 = 3*a + r*j - j, 5*j = 5*a. Solve 0 = t - 6*t - g - 11, 3*t - a*g = -4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97, 89, -13, -209, -499, -883, -1361?\nAnswer: -1933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4177?\nAnswer: 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3687 + 3706. What is the nearest to f in 0.06, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 13 = 3*w. Suppose n = w*i, -n = 4*i - 3*n - 2. Which is bigger: i or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -163 * -8.42461\nAnswer: 1373.21143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrgrrrrrrrrrrrrg. What is prob of sequence grr?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/(-5) + 10 + 3. Let w(y) = y**2 - 18*y + 136. Let h be w(g). Let d = 20 + -3. Calculate the greatest common divisor of h and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 10 = 2*q, 11 = -2*q + 2*w - 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -911.48494 + 0.08494. What is b rounded to the nearest ten?\nAnswer: -910","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 3. Let t be i(-6). Suppose 3*u + t - 12 = 0. Suppose -9 = -u*c - 0. Solve -3 = -3*y + c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.232 - 35959.\nAnswer: -35959.232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(450) - sqrt(450))\/((sqrt(6) - sqrt(96))*-5))**2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 23.03. What is l rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8\/3*s**2 - 4 + 2\/3*s + 2\/3*s**3 = 0 for s.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-42) - (-14)\/42.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 185\/43248 + 191290487\/9038832. Let h = q - 234\/11. What is the second smallest value in 0.3, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12593555 and 619.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19141 - -39805\/2. Let q = 798 - v. Find the common denominator of q and -1\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, c: 1, e: 12}. Give prob of picking 1 y and 3 e.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/(n**8\/n))*n\/(n*(n\/((n*n*((n*n\/(n\/n**(-2\/9))*n)\/n*n)\/n)\/n)*n*n)\/n*n)*n*n\/(n\/(n*n**4))*n*n*n**(1\/15)*n assuming n is positive.\nAnswer: n**(668\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14150394?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(4032) + 1)*-4)**2.\nAnswer: 1536*sqrt(7) + 64576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2887 (b) -0.6 (c) 3636 (d) 2 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3555 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (6420\/2996)\/((-3)\/(-7))*54\/10\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t - 7. Let q(h) = -h - 4. Let l(c) = 2*j(c) - 5*q(c). Let n(x) = 8*x + 78. Let i be n(-9). Suppose 14*k - i = 36. Calculate l(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-20763)\/(-36)*(5\/(-3) + 3).\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-5)*(-2 + 2). Suppose -5*q + 5*w = -n*q - 40, -4*q = w - 32. Suppose -20 = 24*u - 68. What is the least common multiple of u and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**7\/10080 + u**6\/720 - u**5\/120 - u**4\/4 - 6*u**2. Let b(v) be the second derivative of q(v). Factor b(p).\nAnswer: -(p - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -485*i + 6652 - 1802 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 874 = 5*m + 314, 2*m - 3*x = 223. Let n = m - 75. Find the third derivative of 8*q**4 - 22*q**3 + q**2 + n*q**3 - 16*q**3 wrt q.\nAnswer: 192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 610\/6*(115 - 18777\/165)\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 118 + -115. Solve l + j = -0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -y**2 + 15 + 2*y**2 + 1 + 14*y**2 wrt y.\nAnswer: 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.064 * -0.52\nAnswer: 0.03328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -87.336 rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3221774 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**2\/7 - 244*j\/7 - 7442\/7 = 0.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3454 is divided by 191.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*c - 1592 = 0, 4 = -5*c - 6. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {n: 12, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 506 - 1015 + 509 + z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 398256*j**2*t + 30837*j**2 - 2*j - 6 wrt t?\nAnswer: 398256*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s**2 + 7*s + 9. Let b(q) = -2*q**2 - 14*q - 18 - 5*q**2 + 1. Let u(f) = -3*b(f) - 5*m(f). Suppose 0 = -32*r + 27*r - 25. Calculate u(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3019336 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 45255201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -103338087\nAnswer: 13\/103338087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010211202121100 + 101?\nAnswer: -2010211202120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1200)\/(-4))\/(-20)*(-2)\/(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19572406 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 8*t**2 + 3*t - 95. Let b be y(9). Solve 8*w = b*w + 10 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 8 + 27. What is the least common multiple of 1 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 203?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 + -24. Let x be 4\/(-6)*3\/2. Let w be 2\/x - 16\/(-6). Which is the closest to f? (a) w (b) -2\/3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11790566 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1779 + 1777.921. Round b to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 m when four letters picked without replacement from vtvvvmvvvmvvvvvmtv.\nAnswer: 13\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/((306\/12)\/(-17)). Is (413\/21 - b)\/((-2)\/(-246)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108020 and 2596?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*a - 5*a - 34 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fw when two letters picked without replacement from ffwwwffwwwfffw?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 5*r - 3*r + 4*m, 3*m = r - 97. What is the remainder when r is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/18 + (-6176)\/(-72). Suppose -5*y - 1 = -c. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -2 - 18. What is the second derivative of -38*l + 3 - l - 112*l**2 - 5 + b wrt l?\nAnswer: -224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 divided by -2?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b + 1. Let s(l) = 3*l - 6 + 8 + 0. Determine -4*j(a) + s(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3456c37 + -7?\nAnswer: 3456c30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 2*i + 0*i - 204*i**2 + 375*i**2 - 175*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 20, -0.218, 2\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/18*5)\/((-85)\/(-51)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 i, and 1 k when three letters picked without replacement from iikiiokvvhqqqkvh.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 3*c + 1 + 2 - 4 + c**2 - 1. Let a be u(2). Solve 5 = r - n - 5, -3*r + 2*n + 25 = a for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*c + 16 + 52, 4*n + 5*c - 372 = 0. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25324, -50647, -75970, -101293, -126616?\n\"Answer: -25323*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13557196?\nAnswer: 2, 3389299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -48*b**3 + 1103*b**2 + 15*b + 121. Calculate t(23).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4 = -8. Suppose 4*g = j + 56 - 21, 5*g = -y*j + 28. Sort -4, 3, 6, g in descending order.\nAnswer: g, 6, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22928 + 22853 - (-11 - (-1 - 1 - (-8 - -5)))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -3. Let v = -5.00868 - -0.00868. Sort u, -15\/13, v, 0.3.\nAnswer: v, -15\/13, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82 times 0.1\nAnswer: -8.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 1 (c) -1 (d) 0.75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 37*k - 53. Let v(n) = -111*n + 158. Let b(h) = 17*f(h) + 6*v(h). Is b(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 19*y**3 - y**2 + 9*y - 13. List the prime factors of r(5).\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-14)*(-1)\/2\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8467476*t + 38616072.\nAnswer: -8467476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*f + 3*a - 6 = 0, -f - 4 = -2*a. Suppose 6*t - t - 30 = f. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.368 and -54.\nAnswer: -73.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(12\/(-16)) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 1 + 14 + (-13 - 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-1))\/(1 - 70\/75). Solve -12 = 5*p - 2*g, 4*g = 5*p - g + i for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -188 + 3255. What is w rounded to the nearest one hundred?\nAnswer: 3100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o + 19. Let c be g(-10). Let m be 22 + (-3)\/(c\/(-6)). Let w be m\/20*(-30)\/(-9). Solve 17 = -9*n + 4*n + i, -w*i - 12 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-16)*l)\/l**(-1\/10))\/(l**(-11)*l*l*(l\/((l**(-4)*l)\/l))\/l*l))**29 assuming l is positive.\nAnswer: l**(-3161\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d**2 + 4*d + 1. Is z(19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*s + 2136008 = -84*s. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 59\/(-11) - 304\/(-836). Let a(d) = -10*d**3 - 52*d**2 - 12*d - 12. Let h(f) = 4*f**3 + 21*f**2 + 5*f + 5. Give n*a(m) - 12*h(m).\nAnswer: 2*m**3 + 8*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -782093 + 9.\nAnswer: -782084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 321, 1275, 2863, 5085, 7941, 11431, 15555?\nAnswer: 20313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8903, -8901, -8897, -8891?\n\"Answer: w**2 - w - 8903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 150 and -0.01?\nAnswer: 150.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-9)\/210)\/((-12)\/(-16))\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 1 + 36 + -33 + 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5789.\nAnswer: 7, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2523 + -4?\nAnswer: -2531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82 + -112. Let h = i - -258. What is the greatest common factor of h and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -0.1, -5, 1\/7, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**4 - 152*p**3 - 1372*p**2 - 360*p + 7488 = 0. Calculate p.\nAnswer: -24, -13, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -4, 0, -1821, -223, -2 in decreasing order.\nAnswer: 2, 0, -1, -2, -4, -223, -1821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 1 + 17857*o - 9736*o + 12637*o.\nAnswer: 20758*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5*(-1065)\/(-225)*501?\nAnswer: 71, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 + y. Let j = 130 - 132. Let c be w(j). Let o(d) = -d**2 + 0*d**c + 0*d**2 - d + 11*d. What is o(7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -377*x - 26541*x**2 - 107*x + 23498*x**2 wrt x?\nAnswer: -6086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-17)\/(-5) - (-2)\/(-5). Let z be 1 + r\/6*4. Let f(n) = 2*n**2 - 5*n + 4. Calculate the lowest common multiple of 5 and f(z).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12581 + 5380. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2367587, -2367586, -2367585, -2367584, -2367583?\nAnswer: -2367582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-4 - -5) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 41383, 82769, 124153, 165535, 206915, 248293?\n\"Answer: -l**2 + 41389*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 8:44 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(10)\/(-1*sqrt(72))*-1.\nAnswer: -2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 16877140.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -26 (b) 2\/5 (c) -1 (d) 383\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2549 = 2550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -104 - -105. What is the remainder when (-5 - w)*(-10)\/6 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2*y = -3. Let k be (-4 - (-2 + 7))*-1. Put -4, k, y in descending order.\nAnswer: k, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -54, -52, -40, -12, 38, 116, 228, 380?\n\"Answer: q**3 - q**2 - 2*q - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (9 - (4 - 9)) - 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 2*y + 24, -4*y = -l - 11 - 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.4, 1\/4, -2\/101?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 315284039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -198. Let q = s + 147.07. Which is the second smallest value? (a) 3 (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/1*(-13)\/(-39)*-3. Find s such that 4*s**2 + 0*s**2 - 85*s**4 + 81*s**4 + 8*s - 12*s**3 + 3*s**5 + s**x = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w + 6. Let y be b(8). Let m be -10*(-1 + (-2)\/y). Suppose 3*s + 5*x = m, 5*x = -s + 9 - 23. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*q - 3*h, 13 = 4*q - 3*h - 4. List the prime factors of 12770\/25*5\/2 + q.\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 8 - 2. Let r(m) = -1 - q*m - 4 - 2 + 3. Determine r(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(2\/5))\/c**(-5)*c*c*(c**(-1\/7)*c)\/c*c*c*c**(-3\/7))\/((c\/(c\/c**(-1\/6)))\/c**(-2\/3))**43 assuming c is positive.\nAnswer: c**(-747\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -323054 - -106?\nAnswer: -322645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 5572*r**2 + 11158*r + 16728.\nAnswer: -2*(r - 3)*(r + 1)*(r + 2788)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 1\/10, -56, 4\/9?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 + 24*x**2 - 24*x + 107. Let p be l(-25). Suppose -3*c = 3*a - 90, -5*c + p = 2*a + a. What is the remainder when 304 is divided by a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/10)\/((-9)\/60). Which is smaller: i or -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/699 + -217\/5592. Let a = 1\/120 - m. Calculate the common denominator of a and -15\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-340)\/(-182) - 2 - 68\/442. Which is the closest to 0.1? (a) 1\/7 (b) 2\/13 (c) l (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*d**4 + 21*d**3 + 8*d**2 + 18139 wrt d.\nAnswer: -32*d**3 + 63*d**2 + 16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 8:22 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8731\/30 - 291. Let r(b) be the second derivative of h*b**5 + 0*b**2 + 3*b + 0 + 2\/27*b**4 + 1\/27*b**3. Factor r(v).\nAnswer: 2*v*(v + 1)*(3*v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.4, 4, 96?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z + 2*z. Calculate the remainder when (3 + z)\/((2\/(-7))\/(-2)) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, m: 3, d: 1}. Give prob of sequence mrrd.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + 13. Suppose 3*p = 5*s - 0*s + 34, 0 = 2*s - 3*p + q. Put -1, s, 2 in increasing order.\nAnswer: s, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 30 + 72. Let w = -56 - a. Let m be w\/(-3)*21\/7. Solve 5*v = -d - 8, -5*d = -3*v + m + 7 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 8*l**2 - 8*l - 9. Let a be b(9). Let j = a + 3. Let h(p) = p**2 - 2*p. Let m be h(j). Solve m*y + 0 - 9 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62255 = -3*o + 2*i, 360*o - 361*o - 2*i - 20757 = 0. What is o rounded to the nearest one thousand?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/15)\/((-3)\/27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 10. Let x(o) = -13*o + 1. Let f be x(-1). Suppose -f + j = -2*l. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400251 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a millennium?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 4 = -2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*(g*(((g\/(((g\/(g\/((g**(-2\/17)*g)\/g)))\/g)\/g))\/g)\/g)\/g)\/g)\/g)**(2\/37)*((g\/g**(1\/6))\/g)\/g*g**5)**8 assuming g is positive.\nAnswer: g**(57964\/1887)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(1100) + -4*sqrt(1100)) - (sqrt(1100) + -2 + -3) - (sqrt(1100) + 2 + -2 + sqrt(1100) + -1 + 3))**2.\nAnswer: -360*sqrt(11) + 39609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3348)\/155 + 21)*(-576 - -1). Calculate the greatest common factor of p and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of r**4\/36 + 2*r**3\/9 + 2*r**2\/3 + 9*r. Factor p(h).\nAnswer: (h + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 3:42 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 3 = x + 2, -x = -1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*a + 3255 + 19103. Suppose -1591*l - 5268 = -a*l. What are the prime factors of l?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**4\/8 + 261*q**3\/2 - 1047*q**2\/8 = 0.\nAnswer: -349, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 2. Let h = 13 + -22. Let i = h + 3. Which is smaller: l or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13bb8 (base 12) to base 5.\nAnswer: -1341034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 8:05 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 divided by 729286?\nAnswer: 58\/364643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.5 - -1.1. Let u = -14 + 9. Let s = 2 + -2.1. Put u, p, s in descending order.\nAnswer: s, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**3\/3 - 8. Let y(a) = -19*a. Give p(y(b)).\nAnswer: -361*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (453 - 453 + 61*y)*(-2 + 2 + 1).\nAnswer: 61*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(5) + 0 - sqrt(5)) + 5)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**2\/17 - 9944*p\/17 - 19896\/17 = 0.\nAnswer: -2, 4974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 57*m - 52*m, -5*f - 2*m = -34366. List the prime factors of f.\nAnswer: 2, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 874 + 369 = 0. Let q = -127 + v. Round q to 0 dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18528597.\nAnswer: 3, 41, 149, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244897169.\nAnswer: 11, 23, 43, 22511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 13) to base 15.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3833 + 3832)\/(46\/(-24))?\nAnswer: 12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4665811 is divided by 4495.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 1296680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3065 is divided by 1519.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 0*l + 0*l)*(l - l - l)*(4 + 1 + 2 - l + (-2 - 2 + 1)*(7*l - 5*l + 11*l) + 3*l - 2*l - 3*l + 0*l - l - l).\nAnswer: -88*l**5 + 14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 61e2ad (base 16) in base 15?\nAnswer: 86ab31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 4*a - 3. Let c be (6\/15)\/((-1)\/20). Let f be 5 - (3 - 0) - c. Let s(y) = -5 + 10*y + y - 4*y. Give f*h(b) - 6*s(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 55457 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**6\/72 + 3*n**5\/40 + 7*n**4\/12 - 2*n. Let x(f) be the third derivative of c(f). Differentiate x(m) with respect to m.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jttjjjjjjjjjjtj. Give prob of picking 1 j and 1 t.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 14 - (30320\/18560)\/(5\/40).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2101 + -2101. Let o(y) be the second derivative of b + 4*y - 7\/12*y**4 + 4\/3*y**3 + 1\/20*y**5 - 4*y**2. Give o(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 4*i - 104 = 0. Factor 219*c + 242 - 26 - i*c**2 + 29*c**2.\nAnswer: 3*(c + 1)*(c + 72)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73.8462 - 73.8. Round g to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 492 divided by -1\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 4203 divide 1260120411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -13.3. Which is the second smallest value? (a) u (b) 3\/8 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 194527940*c - 220923163 wrt c?\nAnswer: 194527940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361 = s + 364, 3*s = -4*r - 25 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 143 - 147 - (-3 + 5 + 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41687.986 + -41647. Let a = m + -41. Let l = -0.0139796 - a. Round l to 6 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228 and 2714511?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 1.49, 3\/4 in ascending order.\nAnswer: -0.02, 3\/4, 1.49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23711753 a multiple of 824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.1 - -2.1. Let r = -16.99999986 - y. What is r rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-0.227189.\nAnswer: -0.0227189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**4\/11 - 50*x**3\/11 + 208*x**2\/11 - 160*x\/11 = 0.\nAnswer: 0, 1, 4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*1*1*-4.\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*c. Suppose -3*f = 4*h - 0 - 1168, c = -2*h + 5*f + 610. Suppose 2*d + 2*b = 4*b + 126, -h = -5*d + b. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 7*k + 8. Let p(l) = -7*l**3 - 2*l - 1. Let i be p(-1). Let b be j(i). Suppose b = 4*q - 8 - 16. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 + 27 + (4 - 27)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 12:09 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8714108 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -77.89492 take away 3482?\nAnswer: -3559.89492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 2)*8\/96.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6811*y + 187703 = 2492*y + 49495 for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -681*l**3 + 3 - 519*l**3 - 159*l**2 + 313*l - 2 - 313*l wrt l.\nAnswer: -7200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 19 = 5*g - 53 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -33 (b) -3\/5 (c) 5 (d) -0.64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 10*q**2 + 5*q - 2. Give g(-9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 5)*(a - 1 + 1)*(3 - 2 - 3) as b + d*a and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 92\/97001 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -20750789 + 1341406?\nAnswer: -19409383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2774880 - -3926880. Round r to the nearest one hundred thousand.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + t. Let z(w) = 4 + 5*w**2 + 0*w + w - 2 - 8*w. Let q(r) = -6*n(r) - z(r). Give q(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*w + 2)*(-3*w - 2*w + 3*w) + 251*w**2 - 477*w**2 + 387*w**2.\nAnswer: 165*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 22 = 20. Suppose -6 = -0*x + 3*x. Let s be (y\/x)\/(2\/20). Which is the biggest value? (a) 5 (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16 (b) -2\/2007 (c) -820\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3*h - 2 = -0, -5*o - 2*h = -3. Is (0 + o)\/((-2955)\/(-590) + -5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-203)\/(-4524)*-13)\/(44*(-11)\/528).\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377*c + 405*c - 767*c - 877*c.\nAnswer: -1616*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 42, 7.22, -2?\nAnswer: 7.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -2*o + 2*f + 8, 0 = -4*f - 4. What is the third derivative of -32 + 3*h**3 + 4*h**o + 32 + 6*h**2 wrt h?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 2\/211 (c) -19\/2 (d) -12\/13 (e) -0.21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**3 - 9*v**2 - 2*v - 1. Let m(q) = 2*q**3 + 17*q**2 + 3*q + 3. Let w(i) = 7*f(i) + 4*m(i). What is the remainder when w(-4) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-273581)\/14 - -2)*-6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12211919 to the power of 1\/4, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 1. Let k(r) = 26*r + 8. Let x(q) = -k(q) + 4*m(q). Let i be x(-1). Let f = i - -57. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -707\/30 + 139\/6. Let i = 135 - 64. What is the closest to z in i, 0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283004495 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of -b**4\/12 - 3*b**3\/2 + 4*b**2 - b. Let s(t) = t - 9. Let x be s(0). Is u(x) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.8 + -13.8. Let o = 0.09 + -1.19. Let k = -0.3 - o. Which is the third biggest value? (a) k (b) v (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o + 13. Let y be l(-3). What are the prime factors of ((-96)\/y)\/(12\/200)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 3 = 9*i. Suppose -i*x + 52 = u - 0*u, -4*x = -16. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0, -3, 2\/25, 12\/11?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 2 - (-6 - -10 - (-96 - (-6 + 0))).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(2\/(-10)*-5). Suppose -4*q = -5*b + w, -3*b + 5*q = -0*q + 6. Suppose -m + 4*m - 4*u - 222 = 0, -b*u + 341 = 5*m. List the prime factors of m.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f**2*q - 24654*f*q - 16*f - 6180813*q wrt f.\nAnswer: 2*f*q - 24654*q - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 684 and 336?\nAnswer: 19152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -289 + 2614\/9. Is v bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 3*o**2 + 4*o - 24. Let h be w(0). Sort h, 1, 2.\nAnswer: h, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2413*o - 7220. Determine i(3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -138\/97 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 235607.75 times -0.1\nAnswer: -23560.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -42, 11, 102, 231, 398?\nAnswer: 603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (390\/21375*-5)\/(4\/27) and -121\/130.\nAnswer: 2470","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**2 + 865815*g - 865812 = 0. Calculate g.\nAnswer: 1, 288604","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 42 minus 9560?\nAnswer: -9518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 - (-2 + 98\/20) and 59\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 362950.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-3)*2\/(-10). Let m be (3\/(-30))\/((-2)\/(-5)). Let p = -487 + 487. What is the closest to p in -5, s, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/9 + 506\/6. Suppose 2*u = 2*c + 60, -3*c - 52 = 4*u - 200. Calculate the greatest common divisor of s and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -149139*f**3 + 32*f**2 + 295*f?\nAnswer: -894834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-16)*(-3)\/30.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 13*s + 10 + s - s. Let l be o(7). Suppose g + l = 4*g - 2*d, -20 = 5*d. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.21 + 2.71. Let y = -778 + 779.652. Let t = y - c. Round t to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 d when three letters picked without replacement from {d: 7, v: 3}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 10*n + 6. Let s be b(-9). Let d = -9 + s. Let q(u) = -7*u**3 + 6*u - 6. Let a(m) = 20*m**3 - 17*m + 17. Give d*a(l) + 17*q(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -38 (b) 169 (c) 1 (d) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 437\/3 or 145?\nAnswer: 437\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 22 = 4*f, -2*d - 4*f = 24 - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 593 + 375. Let l be 2 - (-6)\/(-3)*-103. Let w = l - 186. What is the greatest common factor of z and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -74, -127, -218, -359?\nAnswer: -562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15661648 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (32\/(-10) - -3)*(-2)\/6. What is the nearest to -1 in k, -5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 6. Let g be a(5). Suppose -o = -4 + g. Differentiate 26*j**3 - 29*j**o - j + j + 5 with respect to j.\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 27*s - 32*s - 1 = 0, -6*j = 2*s + 10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-5)\/130)\/(7\/28).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/(-98))\/((-348)\/(-21))*(-118)\/(-59)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Are -2\/207 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 715 less than 153412\/215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2022000 (base 3) to base 16.\nAnswer: 68a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (-2 - -2) - 485\/165. Which is the nearest to 1\/2? (a) -0.3 (b) -0.5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.22 (b) 4 (c) -1\/3 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - 5*g - g)*(-3*g**2 - 3*g**2 + 5*g**2)*(g - 6*g + 3*g + (3 + 2 - 1)*(-2*g + 1 - 1)).\nAnswer: -30*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 856.6648ml to litres.\nAnswer: 0.8566648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4036 * 814.\nAnswer: 328.5304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57582 is divided by 263.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 21112220 (base 3) to base 2\nAnswer: 1010110000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47\/456 - 3\/152. What is the nearest to -2 in n, -1\/4, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2\/9 - 1622972*i\/9 - 2524536.\nAnswer: -4*(i + 14)*(i + 405729)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -140 + 73. Let n = -56 - f. Find the second derivative of 21*i - 6*i + n*i + 0*i**2 + 2*i**2 wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - -13. Suppose -t + 6*t = 3*n - c, t = -n + 10. Suppose 0 = -3*z - 2*z + n. Solve 7 = -a + z*a + q, -3*a = 4*q - 23 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.69 + 0.09. Let a = 2 + q. Let r = 0.2 - a. What is the biggest value in 0.2, r, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + -2*-1*sqrt(128) - -5*3*sqrt(128)) + (sqrt(128) + 4 + sqrt(128) + 4 - sqrt(128))*-2)**2.\nAnswer: -4096*sqrt(2) + 33024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412 is divided by 92\/506 - (-1294)\/22.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85 - 123. Let a = y - -34. Let k be a\/24 + (-75)\/(-18). What is k rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = t + 5, -3 = -2*w + 4*t + 7. Let z(p) = p**2 - p + 1. Let u be z(w). Let s be 2\/7 - 148\/(-70). Is s at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*c - 118*c + 44*c - 50 + 37*c to the form r*c + a and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 49, 10 in ascending order.\nAnswer: -2, 3, 10, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 15*s + 74. Give q(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dhdp when four letters picked without replacement from {w: 1, r: 1, p: 3, d: 3, h: 2}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59*d**2*t*u - 76*d**2*u**3 - 1267*d*t**2*u**3 + 3*d*t*u - 7*d*t - t**2*u + 3*t + 21*u**2 wrt u?\nAnswer: -456*d**2 - 7602*d*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 8:31 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 0*d + 2*d)*(5*d**3 - 5*d**3 + 2*d**3)*(3*d + 2*d - 4*d + (4 - 4 - 2*d)*(-1 + 5 - 2) - 129*d - 137*d + 92*d).\nAnswer: -354*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 5*i - 10. Let a be v(7). Suppose -5*x - 3*z = -3 - a, -2*x = -2*z - 6. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -420 divided by -42\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + t - 2*t + 42 = -b - 6*t, -3*t = -5*b + 20 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11549, 46446, 104609, 186038, 290733, 418694?\n\"Answer: 11633*m**2 - 2*m - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11281 + 34425 + 78551 = 11*i. What are the prime factors of i?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -982.62 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2215 or 2209?\nAnswer: 2215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -13*p**2 - 9*p + 8. Let o = 57 + -63. Let u(v) = 4*v**2 + 3*v - 3. Let b(s) = o*t(s) - 17*u(s). Calculate the remainder when b(-2) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h + 7*h + 11*h + 2 + 57*h**5 + 0*h - 232*h**5 wrt h?\nAnswer: -3500*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p**3 + 1624*p - 1624*p + 9*p**3.\nAnswer: 14*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-11)*(-1)\/((-5)\/40).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-20) + (-112)\/(-20). Calculate the highest common factor of q and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 6*(6*(-4 + sqrt(17) + sqrt(17) + sqrt(68)) + -2)**2.\nAnswer: -7488*sqrt(17) + 62811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -313825 less than -55708054?\nAnswer: -55394229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23233 (base 5) to base 12.\nAnswer: b91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 - (-9 + -31) - (-79 + -1).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7284 by 2428.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1865)\/(-65) + (-6780)\/(-2938).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -15 + a**2 + 0*a**2 - 4 - 8*a + 0*a**2. Is x(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -42430240143?\nAnswer: -42430240200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2043 (base 7) to base 14.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -52*x - 53. Let g(s) = -13*s - 13. Give 9*g(y) - 2*w(y).\nAnswer: -13*y - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/14 + 1125\/105. Which is the third biggest value? (a) m (b) 1 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5207\/6, 1, 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 226453013297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((2 + -2)*(-4)\/12)\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22687304 is divided by 4537454?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-1)\/f)**30)**(1\/4))**(-5\/11))**(10\/9) assuming f is positive.\nAnswer: f**(250\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -32 + 106*s + 5 - 321*s - 64*s. Let r be l(-8). Is r\/3 - 4\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 1. Suppose 2*v - 5*g + 2 = v, 0 = -4*v + 5*g + 7. Let z be ((-4)\/9)\/(6\/(-27)). Solve 5*m + 14 = f*u, -v*u - z = -m - 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 399 - -1071. Suppose -3*n - p = -6*n. Suppose -3*o - o = -5*t - 363, 0 = 5*o + t - n. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620789607 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: Suppose 0 = -2332*c + 2258*c + 12432. Let x = 123 - 87. What is the smallest common multiple of x and c?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 252*v + 257*v - 513*v = 8, 0 = -16*x - 4*v - 204 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 + 9*o - 8. Let x be y(8). Let u(n) be the third derivative of n**5\/60 - n**4\/24 - n**3\/6 - 2*n**2. Let z be u(x). Is 1 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -4*q**2 - 64*q - 256 = 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 163398.966 + -56.42.\nAnswer: 163342.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*a**2 - 52*a**2 + 28*a**2 - 5*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - f - 3*f - 16 = 0, 0 = q - f - 22. Let z be (7\/28)\/(2\/q). What are the prime factors of (0\/(-3) - -6) + z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/((j*j**(1\/14))\/j))**(-27)\/(j\/(j\/(j*(j**(-11)\/j)\/j*j*j))*j**4) assuming j is positive.\nAnswer: j**(-645\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 70 + -66. Calculate the remainder when 13 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -0.268 (b) 14 (c) 0 (d) 3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + (1 - 2) + -23. Let o be (-3)\/z + 40\/(-35). Which is smaller: o or -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 less than -26813075628.37?\nAnswer: -26813075621.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96.086 - -0.086. Let z = 93 + s. Which is the nearest to -2? (a) -1\/4 (b) -11 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21353695.\nAnswer: 5, 11, 199, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 21892*m - 240834. Calculate a(11).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 773798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1198433, 1198381, 1198329, 1198277, 1198225?\nAnswer: 1198173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnn when four letters picked without replacement from nnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w - 13*w + 1516 = a, -w = 3*a - 390. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1818 by -202.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 1, 2*t - 5*z = -2*t + 17. Solve 0 = 6*x - 2*x - t*u, u = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350721727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 61*w**2. Let g(c) = -199756*c. Give g(h(a)).\nAnswer: -12185116*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.28, -1\/5, -0.6?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 1 (b) -5 (c) 2\/7 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((((-21)\/(-6))\/(189\/54))\/(-14))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 71307713*t**3 - 10458059*t**2 wrt t.\nAnswer: 427846278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1258033 is divided by 1305?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -183, 30, 5, -4 in ascending order.\nAnswer: -183, -4, -2, 0, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 16 = 4*y + 3, 2*r + 2*y = -12. Let q = -0.42 - -0.02. Let t = 0.1 + -0.2. Put t, r, q in decreasing order.\nAnswer: t, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91033.\nAnswer: 91033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 143 = -3*m, 30*x - 212 = 4*m + 26*x. Suppose -7 = -5*b - 4*v + 395, 238 = 3*b + 4*v. Let o = m + b. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3 = -15. Suppose o = f + 24. Calculate the common denominator of 3 + -4 + (-21)\/f and -121\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1152)*2*3)\/(1*sqrt(24) + sqrt(6) + sqrt(6) + sqrt(6)*1*-3 + sqrt(6)) + -2)**2.\nAnswer: -288*sqrt(3) + 15556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 5*g - 5. Suppose 0 = 4*n - 5 - 15. What is the least common multiple of g and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 + 74 - (16 + 4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1720452 - 177*h**3 + 1720452.\nAnswer: -177*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, j: 2, c: 1, x: 1}. Give prob of sequence xjcj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -86 + 117. Suppose 38 + 30 = 4*o. What is the remainder when g is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -805312320 by -161062464.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 787112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i**2 + 0*i**2 + i**2)*(i - 2 + 6*i - 13*i)*(1 - 1 + i) to v*i**3 + d*i + f*i**2 + x + q*i**4 and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + 2*v**2 + 0*v - 3*v**2 - v)*(0 - 1 + 2).\nAnswer: -v**3 - v**2 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 3*m + 5. Calculate the remainder when 5 is divided by j(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/22 and -73\/308.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84153036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-8304)\/(-2768))\/(2\/30)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.1663641 nanoseconds in weeks?\nAnswer: 0.00000000000020860840625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6e270 + -10?\nAnswer: -6e280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/4)\/3*(8\/(-9))\/(647\/1941).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*r**3 - 118*r**3 + 587*r**3 - 143*r**3 - 107*r**3 - 113*r**3.\nAnswer: 74*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (8 + 6 + -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -480 by 1086.\nAnswer: -80\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1766831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1114488, 2229564, 3344642, 4459722, 5574804, 6689888, 7804974?\nAnswer: 8920062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 7. Let v(t) = -3*t + t**i - 4*t**2 - 2*t**3 + 2 + t. Suppose -c + 4*c = 3*g - 6, 0 = c + 5. Give v(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 p when two letters picked without replacement from {w: 2, d: 10, p: 1, s: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 540 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 - -12. Let h = -1.0025 - -0.0025. Let r = 3 - -2. What is the nearest to 1 in q, r, h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 382 = -43*d + 46*d, -3*z - 893 = -d - 661 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549943 is divided by 27454?\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (17 - 32) + 9 + -10\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 0.742, 0.4, 1, 0.2 in increasing order.\nAnswer: -0.6, 0.2, 0.4, 0.742, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3955 + -0.3.\nAnswer: 3954.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 3:08 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -16*w + 5. Let q be g(6). Let f be 104\/q*7\/2. Let c be (-1)\/(-3) + 15\/9. Sort c, f, -3 in increasing order.\nAnswer: f, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -99171*v**2. Let j(u) = 42*u + 3. What is j(o(z))?\nAnswer: -4165182*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 0*o + 0*o)*(75 - 75 + 6*o + (3 - 3 - 1)*(-4*o - 2*o + 4*o)).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, j: 3, p: 3, s: 1, o: 2, x: 1}. What is prob of picking 1 o and 1 z?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 352030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 177*m - 214*m + 26. What is the third smallest value in 0.2, 2\/21, m, -0.2, -3?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lu when two letters picked without replacement from {u: 3, n: 1, z: 9, l: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 6 = 5*b, -2*y + 15 = -5*b + 2*b. Suppose 0 = -y*s + 24 + 6. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-20)\/(-8))\/((-2)\/(-4)). Suppose -15 = 4*k - l*k + 3*f, -5*k - 5 = f. Let r be (-1 - k) + (-1 - -1). Are r and -6\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = -4*u - 23. What is the lowest common multiple of 6 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 176, 286, 416, 572, 760, 986?\nAnswer: 1256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.60616us in seconds?\nAnswer: 0.00006760616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 30*l**2 - 93135*l - 93100.\nAnswer: 5*(l - 140)*(l + 1)*(l + 133)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -190 - -190.00000054. What is u rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7*w**2 - 4*w + 6. Let r(h) = 4*h**2 - 56*h + 53*h + 2*h**2 + 5. Give -4*r(s) + 3*y(s).\nAnswer: -3*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**3\/3 - 19*r**2\/2 + 10*r + 1. Calculate the remainder when 78 is divided by m(-24).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence td when two letters picked without replacement from mdt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 22 = -u - 0*d, 0 = 5*u - d - 20. Find the first derivative of 0 - 8*w**2 - 1 - 6 - u*w**2 wrt w.\nAnswer: -22*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(42)\/(sqrt(150) + sqrt(6))).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63548?\nAnswer: 2, 15887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-70)\/30 - 2\/(-6). Let c be (b\/(-4))\/(3\/36). Suppose -c*g + 60 = -2*g. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 12*j - 372. What is w(28)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 345269 (base 10) to base 7.\nAnswer: 2635421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -4\/3*v - 5\/3*v**2 + 0 - 1\/3*v**3 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 13 = -4*t. Let c(v) = -4*v + 12*v**3 - v - 5*v**2 - 3*v**3. Let z(h) = 5*h**3 - 3*h**2 - 3*h. Determine t*c(s) + 5*z(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -187 + 195. Suppose 3*i + 9*t - v*t - 25 = 0, 5*i = 5*t + 35. Solve -i*b - 4 = 20 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73 + 0*y**2 + 5*y**2 + 81 + 125 to the form t*y + n*y**2 + s and give s.\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + i = 5. Let y be 21*i*6\/(-18). Suppose -y*v + 3*v + 40 = 0. What is the greatest common divisor of v and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -3*z + 210. Suppose 4*s - 802 = -z. Find the third derivative of -173 - p**2 + 16*p**4 + s wrt p.\nAnswer: 384*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 - 362476.72.\nAnswer: -362476.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*y + 2*n, 3*y + y - 21 = 3*n. Suppose -13*u = y*u + 572. Calculate the common denominator of 2\/(-3) + (-40)\/66 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -38793182.415\nAnswer: -38793181.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1392 and 16176?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.204 <= 1716?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 171 (base 10) to base 8\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**5\/60 - 13*r**2. Let u(p) = 10*p + 11*p - 4 - 8 - 5*p. Let o(v) = v - 1. Let h(i) = 12*o(i) - u(i). Determine h(w(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**5\/2 - 3*n**4\/2 - 5*n**3 - n**2 + 9*n\/2 + 5\/2 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/4 and (-34)\/80 - 15\/75.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5278 = 198*y - 1391 + 3043 for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ob when two letters picked without replacement from iikibioiloiloiiiliol.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 63 - 2 = 0. Suppose 36 = -4*m + 5*m. What is the remainder when m is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 23 - 6 + 62 + 72)*(-11*i + 4*i**3 + 11*i).\nAnswer: 400*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/9174 and 77\/13836.\nAnswer: 21155244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1921282 * 5\nAnswer: 9606410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*z = 4, 3*f + z + 4 = -f. Let m be 192\/36 - (0 - f\/3). Suppose m*v = 267 + 173. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 4\/7*l**2 - 14*l + 4\/21*l**3 - 2\/35*l**5 - 1\/105*l**6 + 5 - 1\/14*l**4. What is z in a(z) = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/14 - 108\/(-168).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2982503170.\nAnswer: 2, 5, 197, 347, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + 3. Let r(x) = -x**2. Let f(q) = 3*q**2. Determine g*r(s) + 4*f(s).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -852363.55 to the nearest 100.\nAnswer: -852400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 + -30. Let m(a) be the first derivative of -a**4\/2 + 2*a**3\/3 + a**2 + a + 7. Determine m(d).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 43. Let i(d) = 134*d - 6. Let z be i(v). Suppose 3*u + 82 - z = 0. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g - 11*g - 6 - 6*g + 6*g**2 - 3*g**2. Let z be o(12). Calculate the remainder when 4\/2*z\/4 is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1850 a factor of 140086058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r + 3. Determine p(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*g - 0*g - 56, 2*s + 5*g = 68. What is the highest common factor of 16 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -31169*r - 67. Calculate a(0).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 116827 divided by -5\nAnswer: -116827\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 2 + 1 + 33?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -68. What are the prime factors of p?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 1552 = 201*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**4\/4 - z**3\/3 - 21*z**2\/2 - 43*z - 191. List the prime factors of q(-8).\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25248957589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 135992*j**3 - 4*j**2 - 5755*j - 55 wrt j.\nAnswer: 815952*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - l. Let g(h) = -h**2 + h. Suppose -2*i - i + 15 = 0. Determine i*y(n) + 3*g(n).\nAnswer: 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3023*y + 6088*y - 2976*y = -2581 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*b**2 - 175*b**2 - 157*b**2 + 454*b**2 + 9*b.\nAnswer: -37*b**2 + 9*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 17. Suppose 7*q + 205 = -4*y, 0 = -q + 3*y - 8 - 7. What is z(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (-4*k**4 + k**4 - 4*k**4)*((2 - 1 - 4)*(-2 + 1 + 3) + 0 - 1 + 3 - 8 - 12 - 16) as w*k + y*k**2 + i*k**4 + a*k**3 + q and give i.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand q - 4*q + 2*q + 87*q - 133*q - 98*q + (-1 + 1 - 2*q)*(4 + 1 - 3) + q + 3*q - 3*q.\nAnswer: -148*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14\/17? (a) 5 (b) -5 (c) -4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v + 13. Let c be r(-2). Suppose -4*y + 21 + c = 0. What is the remainder when y is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62126616?\nAnswer: 2, 3, 239, 10831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a week in hours?\nAnswer: 294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.42 not equal to -0.0605227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68.0694*6.\nAnswer: -408.4164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -29*b**2 + 27*b. Let a(y) = -3*y**2 + 3*y. Let g(m) = 9*a(m) - z(m). Let k(w) be the second derivative of -3*w**4\/4 - w. What is g(k(o))?\nAnswer: 162*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 9:27 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10863)\/142*4\/42*(-1708)\/549.\nAnswer: 68\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.8569 - -0.0431. Let r = h - 6.9. Which is the closest to -1? (a) -0.5 (b) r (c) -4 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.988 - -2.288. Let k = 10.5 + -11. Let l = -0.7 - k. Which is the third biggest value? (a) -31 (b) l (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + ((-8)\/6)\/((-1150)\/138*4\/(-50)). Let r(y) be the first derivative of -3*y**4 - 1. Give r(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + u + 4*u**2 + (-2*u - 1 + 1)*(-3 + 3 + 2*u) - 2*u + 2*u - u**2 to p + o*u**2 + i*u and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3009256?\nAnswer: 2, 193, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 3. Does 15 divide (3\/z)\/(-1)*(-100)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5 + 1 + (sqrt(76) - -1*sqrt(76)))**2 + ((-3*sqrt(76)*2 + sqrt(76))*6)**2 + -1.\nAnswer: -32*sqrt(19) + 68720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*((g\/(g\/(g\/g**(-6))*g))\/g*g)\/g)\/g*g**(2\/13)*g*g**6*g*(g\/g**(-4\/7))\/g*g*g*(g**11\/g*g**12)**(-5\/7) assuming g is positive.\nAnswer: g**(1\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 113507 - 0.5\nAnswer: 113506.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 11*z**5\/240 - 3*z**4\/32 - z**3\/12 - 4*z**2. Factor y(o).\nAnswer: (o - 1)*(11*o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36914 is divided by 4382?\nAnswer: 1858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-4))\/(68\/(-4352)). Solve 0 = -g*j + 22 + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*x + 109*x = -108*x - 6603 for x.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16840568909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1987940 (base 13) in base 12?\nAnswer: -2999192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-100)\/40)\/((-15)\/96). Solve 10 - 26 = -l*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 183 - 183. Suppose 17*c + 53 - 19 = h. Let l(q) = q**2. Let z(f) = -3*f**2 - 2*f - 2. Give c*l(d) - z(d).\nAnswer: d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 156?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23626*w = -23662*w - 396 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11662*w + 1144 = -11706*w for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -255 + 703\/3. Find the common denominator of 73\/3 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 107 + -186. Let o = r - -80. Solve -d - b = o, 3*b + 1 = -2*d - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.8 + 2.800055. What is q rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 32 + 22 = 0, 3*q - 3*b + 7 - 4 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4924 = -4*w + 5*d - 4929, -3*d = -2*w - 0*w + 4*w + 19 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102 + 47 + 55 + 3*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 523 and -421230.431?\nAnswer: 421753.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 - 899\/12. Let l(d) be the second derivative of s*d**4 + 0 + d + 0*d**3 - d**2. Differentiate l(y) with respect to y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 2*f = 12, -1080 = -270*x + 55*f - 51*f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 22797328 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3722253 * -3.1\nAnswer: 11538984.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100001111000001010101 (base 2) to base 12.\nAnswer: -456505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14563.04 - -14563. Which is the second smallest value? (a) -6 (b) -16 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75\/16279 - 1\/446. Is 0 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1138 divide 5319789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.27046 times 16.8\nAnswer: 4.543728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of z**4\/4 - 7*z**3\/3 - z**2\/2 + 7*z + 9. Give c(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23747505373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 11*j**2 - 10*j - 20. What is the tens digit of b(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 2 - 5)*(-236 - 235 + 250*u**2 + 469) to r*u**2 + v*u + b and give r.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33478?\nAnswer: 2, 19, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohds when four letters picked without replacement from hshdsdsoohshddoehhdo.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) -11\/3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011000 - -101?\nAnswer: 101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(108\/(-615) + 2\/10). Suppose -4*q = -n - 42, -q - 33 = n + 9. Which is greater: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -1 - -5) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.70719202 - 1?\nAnswer: 44.70719202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9981116 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l + 33 - 27*l**2 + 36 - 118 + 36. Let s(t) = 13*t**2 - 2*t + 6. What is 6*p(r) + 13*s(r)?\nAnswer: 7*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -7, 24?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 684575962?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/68 + (-9 - 2880\/(-204))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w + 72 = 18*w. 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: Let w be (-2)\/(2\/1) + 3 + -2. Suppose -10*m - 34 + 114 = w. Solve -2*p + 4*p = -m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6340, 6377, 6414, 6451, 6488?\nAnswer: 6525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 983835?\nAnswer: 4\/983835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 6*n + 3. Let d(h) = h**3 + 9*h**2 - h - 12. Let p be d(-9). Let s(r) = -r**2. Let y(m) = p*s(m) + g(m). Determine f so that y(f) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*z**2 + 7*z**2 + 302 + 306 - 608.\nAnswer: -35*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83 * -1168.\nAnswer: 96944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ieuvfeeuuvvuvus. What is prob of sequence ie?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36375 - 222?\nAnswer: 36153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t**2 - 78*t + 82. Let k be g(25). Solve l + 5 = o, 3*o = 5*l + 16 + k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.031396 + -0.031396. Let w = -5 + 5.4. Which is the nearest to r? (a) 5 (b) w (c) -4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 + -2.6. Let k = 0.13 + 0.085. Let x = k + -0.195. Which is the third biggest value? (a) t (b) 0.4 (c) x (d) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, f: 1, n: 6, x: 1, g: 1, k: 1}. Give prob of sequence fx.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-16 + 29 + -42 - 9)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h, 1 w, and 1 g when four letters picked without replacement from {w: 2, k: 4, j: 4, g: 2, h: 2}.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 9139?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28474 (base 13) in base 16?\nAnswer: 126cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (3 - 2) - -8. Let h be (-3)\/(-4)*v*(-50)\/(-75). Suppose -5 = -g, 0*g - h*g = -2*w + 1. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 8 - 27*i - 1.\nAnswer: -27*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*l = -179*l + 3208. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*z - 7033 - 1904 + 1494 - 7757 = 0 for z.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/119)*c**(-4\/17))\/(c\/(c*(c**16\/c)\/c))**10 assuming c is positive.\nAnswer: c**(16630\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -136 + 136. Which is greater: 8\/17 or w?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 3*b - 7. Suppose 7*v - 3*v = 20. Let i be o(v). Suppose -i*g + 14 - 2 = 0. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9535110 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*p + 26, 0*p + 11 = 2*p - 5*z. Let q be 0 - (-7)\/(28\/p). Solve -3 = -q*t + 3*d, 0 = 2*t - 3*t + 3*d + 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-666*n**2 - 1724*n**2 - 3342*n**2)*(-n**2 + n**2 + 2*n**3) + 2*n**4 - 2*n**5 - 2*n**4.\nAnswer: -11466*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8082.217 decades in years?\nAnswer: 80822.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 9 (b) 89\/28 (c) 2\/3 (d) 0 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**5\/30 + 2*p**2. Let j(d) = -7*d - 587870 + 587870. Give j(c(w)).\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 167522?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**9)\/f)**(-26))**10 assuming f is positive.\nAnswer: f**2340","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 86.83506 years?\nAnswer: 8.683506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2059.2 - 2062.2. What is the closest to -1\/3 in b, -3\/8, 22?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j. Let y be -5 + 0 + 2\/2. Let g be 1\/1*y\/4. Let a(h) = h. Give g*u(s) + 6*a(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*m = 1 - 3, o - 3*m - 3 = 0. Suppose o = -0*z + 7*z - 294. Is (-929)\/(-6) + 7\/z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -3\/4, -238, 60, -17?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14118*w**3 + 14187*w**3 - 69*w**2 + 69*w**2.\nAnswer: 69*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 718*z + 365 = 713*z. Is (-5 + z)\/(21\/(-28)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/14 + 2413\/(-7). Suppose 0 = -4*n + 471 + 229. Let m = n - t. What is m rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 468774.1 micrograms?\nAnswer: 468.7741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2512, -3968, -6396, -9796?\nAnswer: -14168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 279, 2\/3 in ascending order.\nAnswer: -3, 2\/3, 279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 1815*w**2 + 77*w + 10. Let d(l) = -605*l**2 - 22*l - 4. What is 7*d(i) + 2*u(i)?\nAnswer: -605*i**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 39 = -3*i + 26, -3 = -3*d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.21, 15\/7, 2, -5, -2\/3, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5466\/24 - 7 - (-3)\/(-4). What is the common denominator of s\/36 - (7 - 3) and 7\/15?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5014 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -7, -12, -19?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 3. Let k = b + 3. What is the units digit of 2 - k\/(0 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7733.345 kilometers to meters.\nAnswer: 7733345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2922552 is divided by 100777?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 81*k**3 - 13*k**2 + 170 - 39*k**3 + 922*k - 43*k**3 - 170 in the form w*k**2 + a*k + x*k**3 + p and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 6:22 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11455550455 - -2?\nAnswer: -11455550453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 67975600 a multiple of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -1 - 5*h**3 + h**3 - 5*h**2 + 6. Let n(s) = s**3 - 1. Suppose 2*t = l + 1, -2*t + 8 = 2. Let c(i) = l*n(i) + x(i). Determine c(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89299 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: 1371 divided by 46\nAnswer: 1371\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1325.478 + -1329. Let m = -3.6 - i. Round m to 3 dps.\nAnswer: -0.078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 - 379*x + 7018. What is g(17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4288481563*k**2 + 2144240781*k**2 + 2144240780*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 5:26 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, -3, -5, -7.17 in descending order.\nAnswer: 0.04, -3, -5, -7.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*p + 203 - 70 + 89 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n + 32. Give j(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 306163289 a multiple of 1663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1913 - -0.0087. Let s = h - 0.27. Let x = 5 - 4.5. What is the nearest to 2 in s, x, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 14. Suppose -2*h + 5*l = -p, l = -3*l - 4. Suppose h*y = 3*z - 401, -z + 4*y + 180 = 37. List the prime factors of z.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4863183, 4863186, 4863191, 4863198, 4863207, 4863218?\nAnswer: 4863231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3316 - 236*h**2 + 1771 + 1545.\nAnswer: -236*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.239 + 0.449. What is the closest to -1 in -3\/2, w, -3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 t, and 1 r when three letters picked without replacement from tsstttbrbsttrexbttt.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -74 + 76. Suppose 2 + f = 4*l, -l - 5 = 2*x. Put 3, -6, x in increasing order.\nAnswer: -6, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1116, -1108, -1100?\n\"Answer: 8*p - 1124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 2*t - 3*t - 2, 0 = -6*t + 3*k + 15 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1444320231 (base 5) to base 16\nAnswer: 3b8784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11 or 616225?\nAnswer: 616225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 79. Calculate h(-21).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18842054 rounded to four decimal places?\nAnswer: -0.1884","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - -18) + (-2 - 2 - 1) - (5 + -13)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56043 is divided by 2368.\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8782400 divided by 704\nAnswer: 12475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c**3 + 2*c**2 + 2. Suppose -4*r - 2*o - 2 = 0, r + 23 = -10*o + 5*o. Let i(p) = -p**2 - p - 2. Let n be i(-2). Let g = r + n. Calculate b(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-60))\/(10\/60) + 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*g**2 + 2*g + 0*g + 336*g**2 + 224*g**2 in the form d*g**2 + h + c*g and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y - 7 = 2*d + 11*y, 0 = -2*d + 3*y - 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2910681179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5406 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 465a95 (base 12) in base 10?\nAnswer: 1129937","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-245)\/(-245)*(-12)\/(-14)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1093*s**3 + 18998*s**2 - 42828255 wrt s.\nAnswer: 3279*s**2 + 37996*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -4*v - 12*c + c + 2*c, -1 - 4 = 5*c for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19459 + 6885 - 8482 - 834 - 3233 - 41315)*(-p + p - 3*p) as b + t*p and give t.\nAnswer: 199314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**2\/5 - 144*m\/5 = 0.\nAnswer: 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2146767 or 1\/2?\nAnswer: 2146767","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 946057649?\nAnswer: 946057649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eu when two letters picked without replacement from {q: 1, u: 1, v: 4, e: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*(3\/24 + -3*(-6)\/(-16)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 + 1674*t**2 - 3360*t.\nAnswer: 3*t*(t - 2)*(t + 560)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 + (-12)\/(-8). Is 2 + (18 + s - 2) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2067 - -6763?\nAnswer: 4674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 5. Differentiate 4*r**3 - 3*r**3 - 7 + 3*r**3 + 0*r**x with respect to r.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/7)\/(5 - (-111)\/(-21)). Solve -3*h + l*h = 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 67*t**4 - 831*t**3 - 41*t**2 + 7*t**2 + 832*t**3 wrt t?\nAnswer: 1608*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3265 is divided by 217.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63052824?\nAnswer: 2, 3, 2627201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20402 (base 5) to base 12.\nAnswer: -948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1319 or -1317?\nAnswer: -1317","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/5 or -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.2 (b) -0.4 (c) -13 (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.123 times 2.34595\nAnswer: 0.28855185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*d + 9. Sort d, 4, 2.\nAnswer: 2, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 948161 to the nearest integer?\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.597 from 1.\nAnswer: 1.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 15 = -4*i, -4*z + 0*z - i = -9. Let r = -0.4 - 0.1. Let l = 192.6 + -195.6. Which is the third smallest value? (a) l (b) z (c) -1 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -y**4 - y**4 - 3*y + y - 2*y wrt y.\nAnswer: -24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 4 (b) -0.4 (c) -64.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 322040 and 5230240.\nAnswer: 3880","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0056845 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -5, 227, 0 in descending order.\nAnswer: 227, 0, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(162) + 1)*6 - (4 + sqrt(162)*-2*3))*4)**2.\nAnswer: 235008*sqrt(2) + 1511488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 3*q**2 - 5*q**2 + 3*q**2. Let z(w) = -3*w**2 - 6*w. Let n(m) = -9*m**2 - 17*m. Let l(c) = -6*n(c) + 17*z(c). Determine p(l(y)).\nAnswer: 18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 9*v**2 + 8*v + 7. Let h be y(-1). Solve -h = -10*i + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5099 - 5102. Suppose -3*q + 4*t - 4 = 2*t, -4*q + 3 = -t. Let h be q\/(-4) - 9\/2. What is the closest to -0.1 in o, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293402 to the power of 1\/2, to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 0*b**3 + 35 - 4*b**3 = 0. What is b?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41.964 - -42. Let q = d - -0.064. Sort 5, 1\/5, q.\nAnswer: q, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 1345*l**4\/12 - 245*l**3 + 6220*l**2. Find the first derivative of v(u) wrt u.\nAnswer: 2690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*x + 1028 = 18*x + 902 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*f + 3*f + 2226. Suppose -1456 = 7*z + f. What is the remainder when z\/(-4) + 9\/(-6) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-84))\/(44\/264). Which is the closest to 2\/5? (a) 4\/9 (b) o (c) -1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1544.8068 take away 503?\nAnswer: -2047.8068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*l**2 - 7*l**2 - 106 + 743 + 130*l**4 with respect to l.\nAnswer: 520*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z + 919 = 3*j, -3*j + 944 = 4*z. What is the greatest common factor of j and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 77, 4, -1 in decreasing order.\nAnswer: 77, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 130058 greater than 129853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000446689202 rounded to seven dps?\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 162588001*s**5 + 487661995*s**4\/2 - 650428506*s**3 + 488172047*s**2\/2 - 76522*s + 6 = 0. What is s?\nAnswer: -3, 2\/12751, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 130 = -2*p + 3*y, -4*p = 2*y + 140. Let n be p\/(-10) + (-4)\/10. Solve n*s = 3*h - 0*h, -20 = 2*s + 2*h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 115, 0.4, -17461?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -22*l**3 - 8*l. Let r(z) = 22*z**3 + 9*z. Let y = -47 + 53. Let n(m) = y*r(m) + 5*x(m). Find the second derivative of n(w) wrt w.\nAnswer: 132*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 121289, 121290, 121303, 121334, 121389?\n\"Answer: h**3 - 6*h + 121294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -n - 30. Let v = -5 + n. Solve -2*u - 3*a + 13 = 0, v = 4*u + 6*a - a - 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 3*n + 4. Let v be w(-4). Let i be (2 - 6)\/(1\/(-3)). Solve -3*c = f - i, -f - 4*f - c + 18 = v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of ((-20926)\/7)\/(2\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 bigger than 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 16) to base 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/5 + l**2 + 9*l\/5 - 9.\nAnswer: -(l - 5)*(l - 3)*(l + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -9*d + 16. Let x(v) = v**2 - v - 11. Let z be x(d). Let r be 2\/(-36)*-3*z. Which is smaller: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/5661 and 133\/3978.\nAnswer: 147186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 9*c**2 + 16*c - 8. Let x be r(-6). Let p(o) = 3*o - 5. Give p(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4\/3 - 8425*n**3\/3 - 17841623*n**2\/3 - 405711575*n\/3 + 141187208 = 0.\nAnswer: -4201, -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 49.3 (b) 5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1010100010100010010000 (base 2) to base 11\nAnswer: -1617894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 5*j + 143 + 92, 3*a - 2*j - 138 = 0. Solve -5*r = 4*o - a, -11 - 1 = -3*r for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7120.81 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2503180\/14841 + 2\/14841. Let u = 167 - w. Which is the smallest value? (a) u (b) -15 (c) -1 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/2 and 53\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 129103655 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 33, 31\/4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 769*b + 137102. Give x(-178).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 12*k = -65. Let u(n) be the third derivative of -1\/30*n**k + 0*n**3 - 13*n**2 + 0*n + 0*n**4 + 0. Let z(d) = 2*d**2. Give u(z(b)).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 17. Let d(u) = u**2 + 5*u + 4. Let i be d(g). Let y(f) = 3*f**3 - 3 + 6*f - 2*f**3 + i + 5*f**2 - 3*f. What is y(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*p = 99*p + 3*w - 9, -4*w = 4*p + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b + 85 = 413. What is the remainder when b is divided by ((-11)\/2)\/((-2)\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}