diff --git "a/data/dm_maths/full_data_2/2262_11255.jsonl" "b/data/dm_maths/full_data_2/2262_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/2262_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 0 = 14*v + 288394 - 3126572. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 28. Suppose 10 = -y + 30. Suppose b*c - y = c. What is the remainder when 7 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a3 (base 16) in base 15?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**2 - 5*j. Let o be f(-4). Let v = -139\/5 - o. Which is the nearest to v? (a) -0.1 (b) 3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21282383 - 51\nAnswer: -21282434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 871 divided by -6?\nAnswer: -871\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o. Let d = 8 + -13. Let z(l) = -4*l - 2. Let f(x) = -x + 9*x - x + 2*x + 5. Let y(b) = d*z(b) - 2*f(b). Determine y(j(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*v**3 - 14*v**3 - 69*v**3.\nAnswer: -108*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 2*c**5\/5 - 99*c**2\/2 + 108*c + 127. What is the derivative of i(v) wrt v?\nAnswer: 8*v**3 - 99","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (11 - 1)\/(-7 - -30). What is the fourth smallest value in 1\/4, a, -0.06, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 142 = -5*v + 139, 3 = -3*b - 0*b - 3*v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8163859, -16327723, -24491587, -32655451, -40819315, -48983179?\nAnswer: -57147043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16533, -22080, -27627?\nAnswer: -33174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -123.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (4\/((-40)\/114))\/((-29)\/((-20300)\/210))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -62, -42, 32, 166?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 29 + (2\/2)\/1. Let a(q) = -q**3 - 10*q**2 - 18*q - 18. Let v be a(-8). What is the tens digit of (16 - g)\/(1\/v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 55877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1412 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210796 and 406236?\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 1 - 4 - 321*p**2 + 361*p**2.\nAnswer: 40*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 5*y**2 + 4*y**2 + 23)*(-4*y**2 + 2*y**2 + 4*y**2).\nAnswer: -6*y**4 + 46*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q - 7. List the prime factors of s(11).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 130*t**2 + 23*t + 130*t**2 - 15*t**3 - 3*t**4 - 24*t to the form g*t**3 + u + j*t + x*t**2 + s*t**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, k: 1, b: 5}. Give prob of sequence yb.\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -739\/171178 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - b**2 + 4)*(1 - 2 - 1 + (1 - 3 + 0)*(50 + 22 - 3) + 1 + 0 + 4) as z + k*b**2 + o*b and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.05765 + 651810?\nAnswer: 651829.05765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14454, 13249, 11240, 8427, 4810, 389?\nAnswer: -4836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 844 and 11183.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2070 less than 349?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-19*104\/(-2964)*-2*2*-7)\/2\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(-2\/9)*m))\/m*m\/(m*m\/(((m**(-3\/5)*m)\/m)\/m)*m)*m**(-6)*m**(-1\/8) assuming m is positive.\nAnswer: m**(-4301\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*r**4 - 6110*r**3\/3 + 32602*r**2 - 106736*r + 296920\/3 = 0. What is r?\nAnswer: 2, 571\/36, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than or equal to -443593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4922193 is divided by 4922169?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -255 - -252. Is (55\/10 + -7)\/(i\/8542) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/7*q**2 + 0*q + 2\/7 = 0. Calculate q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211075432.\nAnswer: 2, 3701, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 277*u + 261*u - 224*u + 14758 for u.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109289 divided by -2702.\nAnswer: -109289\/2702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 14 (b) 0.1 (c) 283 (d) 9 (e) -0.04 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23102010123 (base 4) in base 16?\nAnswer: 2d211b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (231\/35)\/(2223\/29640)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22c5 + 4c?\nAnswer: 2333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41990593?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0187 + 17.39.\nAnswer: 17.4087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 258833?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8601, -8773, -8811, -8649, -8221, -7461, -6303, -4681?\nAnswer: -2529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 6. Let c = -1.16 - m. Let z = -0.04 + c. Put 0, -2\/13, z in ascending order.\nAnswer: z, -2\/13, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-23 - 1)*2\/(-3). What is the common denominator of 27\/5 and (-2)\/(-1) - 136\/g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 511362.99946 - 511337. Let g = 26 - 52. Let k = y + g. What is k rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.4 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (2\/4)\/((-3)\/(-6))*61 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f - 4. Let w = f + 12. Suppose 0 = -5*d + 3*d - w. What is the nearest to -2\/5 in 3, d, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -109 + (33 - (-87 + 69)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 15. Let t = r - -29. Calculate the remainder when 48 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-547096)\/(-1523165) - (-2)\/49.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 1283*u - 10 = -1284*u, 5*g = u + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 343.3 - 318. Let h = 28 - b. Let v = h - 2.70425. Round v to four decimal places.\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1644.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*g - 297 = 0, -4*k - k + 495 = 3*g. Let o = -2 - -2. Suppose o*m - 18 = -2*m. What is the highest common divisor of m and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*h - 41*h = -6. Suppose 15 = -h*f + 25. Which is the nearest to -0.1? (a) f (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -2\/9, 0.4, -32?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -12 - 5) + 12\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 i when two letters picked without replacement from xivkkixxqqviinqk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 20456 divided by -1\nAnswer: -20456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 298616, 298620, 298624, 298628?\n\"Answer: 4*h + 298612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -14. Let g = 12 + l. What is the smallest value in 5, -2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -472\/1507 + 18\/137. Which is the third biggest value? (a) 0.7 (b) -0.4 (c) -26 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 29*u**4 - 88*u**3 - 3*u**2 - 43412?\nAnswer: 116*u**3 - 264*u**2 - 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-24)\/9)\/(12\/(-18)). Solve 0 = 2*u - i*c - 10, -3*u + c + 4*c = -13 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9635983223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 + 32. Let j(u) = u**3 - u**2 - u. Let q(y) = -4*y**3 + 4*y**2 + 6*y + 3. What is x*j(h) + q(h)?\nAnswer: 2*h**3 - 2*h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 424.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + (-5 + (-2 - -18) - -7).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (14 - -16 - 37).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 35 = -4*g. Let j be (-946)\/(-330) - (2 + -5 + 6). Which is the biggest value? (a) j (b) g (c) 1 (d) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1\/3*c**2 + 5*c = 0. What is c?\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**1*n*n)\/n)**(-48)\/((n**(-1\/7)*n)\/(n\/(n\/(n**(-3\/5)\/n*n))*n))*(n**1)**25\/((n\/n**(-1))\/n)**(-32\/5) assuming n is positive.\nAnswer: n**(-3957\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 799 + -791. Solve -z + 2*m = 7, -10*m + v*m = -8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -337, 0, 13.\nAnswer: -337, 0, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4754.717 millilitres in litres?\nAnswer: 4.754717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -90 + 14. Let p = t + 2. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 891 + -958. Are -73 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3.8 and -0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -87090000 to the nearest 1000000.\nAnswer: -87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-592))\/(3\/8)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367 a factor of 1927018158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -127\/5 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69 by -292.\nAnswer: -69\/292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jar when three letters picked without replacement from {r: 1, y: 3, q: 6, n: 1, j: 2, a: 2}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121222020220 (base 3) to base 5.\nAnswer: 41142233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-20)\/630)\/(2\/708). Let k = n - 66\/7. Let g = 21 + k. Put g, -2\/7, 1 in decreasing order.\nAnswer: 1, g, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21393995 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64127423 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 914781 and 1176?\nAnswer: 7318248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, -4, 4\/3401 in decreasing order.\nAnswer: 4\/3401, -4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -281, -575, -865, -1151?\nAnswer: -1433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqzzqzqzzqqqqq. What is prob of picking 2 q and 2 z?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 634 - 212. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 229571847?\nAnswer: 3, 8502661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 18*z**2 + 60. List the prime factors of p(11).\nAnswer: 2, 3, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 5, 7, 18, -4 in ascending order.\nAnswer: -4, -1, 1, 5, 7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 10\/3, 18, 0.2, 2\/7, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -73*y**9\/21 - 251*y**5\/10 - y**2 - 475. What is the third derivative of j(b) wrt b?\nAnswer: -210240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of -18*u**3 + 5 - 1 + 17*u**3. Let b(q) = -2*q. Determine m(b(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, i: 1, y: 1}. Give prob of sequence yiiy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 5*q - 5. Let a be c(-3). Solve 2 = -2*k - 0*k + r, k = 3*r - a for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -27, -4, 23, 16, -177 in ascending order.\nAnswer: -177, -27, -4, -3, 1, 16, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -44b (base 15) in base 11?\nAnswer: -803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 48 = 5*v, -3*g - 11*v + 14*v + 63 = 0. Solve 2*z + 18 = -2*x, -7*x + 6*x = 3*z + g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**2 - 6. Calculate h(3).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 + 4)*(-r + 2*r + r)*(r + 4*r**3 - r + (3*r - 4*r - r)*(2*r**2 + 2*r**2 - 7*r**2)) as f*r**2 + c*r + x*r**3 + l*r**4 + g and give l.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 8 - (1 - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/o**18))\/o**(-9))**(9\/8))**1 assuming o is positive.\nAnswer: o**(243\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/(-171))\/(-1)*1\/2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, d: 1, v: 2, n: 1}. Give prob of sequence vv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**(-5)\/u*u))\/u**(1\/3))**35)**(-21) assuming u is positive.\nAnswer: u**(-4165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2004 and 3?\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -109, 1, 5, 2 in decreasing order.\nAnswer: 5, 2, 1, -109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 5*u - 13*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2108.\nAnswer: 2, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1299932854?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -433 (base 14) to base 6.\nAnswer: -3501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-6))\/((-4)\/(-3)). Let p(d) = -d**2 + 4*d - 3. Let b be ((-18)\/30)\/(1\/(-5)). Let i be p(b). Put k, 0.4, i in descending order.\nAnswer: 0.4, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1641241 - 20*y**2 - 3282479 + 1641238.\nAnswer: -20*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38, -66, -94, -122, -150?\n\"Answer: -28*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8\/3 (b) 0.1 (c) 1 (d) -1315 (e) -54\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*d + 2*d + 2*d)*(d**2 + 0*d**2 - 3*d**2) + 3*d**3 - 371 - d**3 + 372 + 38*d as a*d + i + n*d**3 + o*d**2 and give a.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j - 4. Let t be (-3 + 6)*(1 - 2). Let h = -9 + 17. Let o(k) = -5*k - 2*k - 2*k + 3 + h*k. What is t*g(n) - 4*o(n)?\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*i**2 + i**2 - 3*i**2 - i**3 + 3*i**4 + 2*i in the form z + u*i**2 + g*i**3 + o*i + c*i**4 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7087057, 1 in decreasing order.\nAnswer: 4, 1, -7087057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99652, -199303, -298954, -398605, -498256?\nAnswer: -597907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*u**2 + 57*u**2 + 62*u**2 - 367*u**3.\nAnswer: -367*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*t**6*v*y - 9*t**4*y + t**3*v*y - 101*t**2*v - 2*t**2 - 2*v*y wrt t?\nAnswer: 240*t**3*v*y - 216*t*y + 6*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5945312 is divided by 744?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11017 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2.3 (b) -3 (c) 10 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28878932119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/4, -1, -1\/4, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 4:57 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 10*d + 10. What is a(-11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 82.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45171 divided by -189.\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84798, -84619, -84442, -84267?\nAnswer: -84094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 948?\nAnswer: 3792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**2\/2 + 5329577*j - 28404390998929\/2 = 0.\nAnswer: 5329577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 91368.43 from -5.97.\nAnswer: -91374.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/(3*-1))\/1. Suppose -2*q + 6 = -y*q. Suppose -q*p + 2*p - 210 = 0. Round p to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 p when two letters picked without replacement from {g: 6, p: 1, r: 2, l: 1, q: 1, e: 4}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*f - 701 = -722*f + 591 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 2*j - 699. Let x be p(-36). What is the highest common factor of x and 546?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 - 38 = -105*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*b - 30, -s = -3*b + 38 - 2. Let m = 48 + s. Suppose -m*f = f - 48. Which is bigger: f or 65\/6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 = 5, -3*o = 5*j - 26. Solve -3*g - 3*h = h + 12, 2*h + 8 = -o*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 3*t**2 + 3*t + 7. Calculate z(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245155 is divided by 245047?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -497*d**6\/30 + d**5\/20 - d**3\/6 + 24*d**2. Let s be r(-1). Round s to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**8\/168 - k**7\/105 + k**6\/60 + k**5\/30 + 3*k**2. Determine z so that m(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2304723\/185 - -12458. Calculate the common denominator of -2\/15 and u.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7079 rounded to the nearest 100?\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a hour in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**3 - 4*q**2 - 5*q - 1. Let t = 37 + -39. Let c be r(t). Let b = 83 + c. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -599 times 0.914302?\nAnswer: -547.666898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 23826?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -p**3 - 164671*p**2 - 798733 wrt p.\nAnswer: -3*p**2 - 329342*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/4)\/(18\/36).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3904 + 3904. Let r(q) = q + 1. Let z be r(-2). Which is the nearest to -9\/4? (a) z (b) g (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 6874*c.\nAnswer: 2*c*(c + 3437)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, v: 1, o: 2, u: 1, g: 2}. Give prob of sequence vu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2295 and 1820.\nAnswer: 835380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1798, -7283, -12768, -18253, -23738, -29223?\n\"Answer: -5485*w + 3687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -651*u**2. Let x(q) = 2*q + 25128. Calculate x(n(z)).\nAnswer: -1302*z**2 + 25128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - 17. Calculate the common denominator of u\/12 + (-6)\/(-4) and -67\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20184211159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 6*x + 7. Let d be n(6). Let u(z) = 47052*z**3 + 1 - 47051*z**3 - 4*z**2 - 6 - 3*z**2 - 2. Give u(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 317911811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m**3 - 4*m**3 + 3*m**3 + (0*m - 3*m + m)*(m**2 + 3*m**2 - 3*m**2) - 4 - 2*m**3 + 4)*(-22 + 0 - 87) to g*m**3 + w + h*m**2 + l*m and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**5 - 28*p**4\/3 - 28*p**3 - 106*p**2\/3 - 19*p - 10\/3 = 0 for p.\nAnswer: -5, -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41 by -7.\nAnswer: 41\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/7*k**2 + 2\/7*k**3 - 2\/7*k + 0 + 2\/7*k**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 42 + 68)*(w**2 - 3*w**2 - w**2) to m + c*w + f*w**2 and give f.\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 g when four letters picked without replacement from {g: 1, d: 4, r: 3, c: 1, p: 5}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(1\/4))\/x**(-3\/8)*((x\/(x\/(x*x*x**(3\/7)\/x)))\/x)\/x**(2\/21))\/(x**(-5)*x**(2\/15)*(x**1)**(1\/8)) assuming x is positive.\nAnswer: x**(67\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 3*m - 6. Calculate t(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 239638677 and 0.1.\nAnswer: 239638677.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2849\/13 - -219. Sort 2\/3, -7, a in decreasing order.\nAnswer: 2\/3, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -132.4 - 7.83.\nAnswer: -140.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 5*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3421*j + 345554 = 126610 for j.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*f, -3*t + 2*f - 24 = -89. Suppose t = 5*w - 17. What is the lowest common multiple of 3*12*(-154)\/(-693) and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(8\/2) + -4 + -162. Let o = k - -171. Which is the second smallest value? (a) 0.5 (b) o (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 4*o + 2. Let w be d(4). Suppose 0 = l - w*m - 1252, 2*l - 5*l + 3796 = 2*m. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/115020096 and 95\/14377512?\nAnswer: 115020096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003592 rounded to 4 dps?\nAnswer: 0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*m**2 - 2*m**2 - 20 + 2*m + 7*m**2 to the form o + w*m**2 + b*m and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9605 a multiple of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbvbpgps. Give prob of sequence pv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -17, 0.4.\nAnswer: -36, -17, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -7*b**2 + 5*b + 1. Let m(q) = -10*q**2 + 7*q + 2. Calculate 7*f(r) - 5*m(r).\nAnswer: r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y + 622 = 139. Suppose y*c - 24584 = 277165. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 262*i**2 - 2296*i**3 - 3370 - 530*i**2 - 4501 + 268*i**2 wrt i.\nAnswer: -6888*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -996120755 and 54.\nAnswer: -996120701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 95*d**2*h - 1874*d**2 + 382*d*h - 8*h + 9 wrt d.\nAnswer: 190*h - 3748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s - 1\/2*s**2 + 0. Let d(l) = -2*l - 1. Give 3*c(x) - d(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = 30*u + 55 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*o - 4*o + 20*o**3 - 9*o - 16*o - 12*o.\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 + 41*h - 221. What is t(-45)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1471 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2403517582.\nAnswer: 2, 241, 4986551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/462 and -67\/1176?\nAnswer: 12936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (-10 - 4) + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851505.\nAnswer: 3, 5, 56767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140930*q + 70704*q + 70224*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 l when two letters picked without replacement from {k: 8, z: 1, c: 1, s: 2, t: 2, l: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 30, 9, -30, -93, -186, -315, -486?\nAnswer: -705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 170386 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + f**3)*(f + 6*f - f) - 3*f**4 + 2*f**4 + 2*f**4 + (-29*f**4 + 46*f**4 - 6*f**4)*(0 + 4 - 5) to a + m*f**3 + q*f**4 + c*f**2 + v*f and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 23, 14, -1, -22?\n\"Answer: -3*q**2 + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 11 + 23. Let a(p) = -p - 6. Let g be a(-11). Solve g = 4*j + l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + s**2 + 14*s + 4. Let v be q(-3). Let t(o) = -147*o + 4. Let b be t(v). Let y = b + -113. List the prime factors of y.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 5*i - 60. Let g = i - 5. Let t(h) = -g*h + 4*h + 4*h. Let u(p) = -3*p**2. Determine t(u(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -39322*g - 3918. Let v be l(6). Round v to the nearest 10000.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/7)\/(590\/24780)*((-4)\/(-6))\/1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a (base 14) in base 2?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, -6.\nAnswer: -6, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101111 + 1011111100111101011?\nAnswer: 1011111101011011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 5.07. Let q = y + 5.07. Sort q, -0.4, -2\/11 in descending order.\nAnswer: q, -2\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n**2 - 7*n + 4. Let c(h) = h**2 - h + 1. Let d(k) = -5*c(k) + y(k). Let j be -3*(-7)\/(-21)*1. Calculate d(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 9*n. Let l be z(-8). Suppose l = -4*f - 0. What is the units digit of (8\/(-5))\/(f\/5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -b1?\nAnswer: -b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -46)*10\/(-30). Solve 4*c = s + i, -3*s + 3*c - 24 = -2*c for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 296*p**2 + 2*p. Let z(j) = -53*j. Let k(q) = 62*q. Let m(b) = -6*k(b) - 7*z(b). What is m(a(y))?\nAnswer: -296*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 143865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4\/11 + 74*t**3\/11 + 936*t**2\/11 + 4320*t\/11 + 3456\/11.\nAnswer: 2*(t + 1)*(t + 12)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 divided by -6.\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 14. Suppose -c - 5 = -k*c. Let s = 16 - c. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 9*f + 8. Let l(r) = 4*r**2 - r. Let s be 2\/(-5) + 7\/5. Let n be l(s). Suppose n*x - 14 = x. Determine p(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/763 and -22\/1853.\nAnswer: 12971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b + 7 - 3*b - 8 - 2*b. Suppose 4*t = 4*c - 2*c - 26, 3*c - 23 = 2*t. What is k(c)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**2 + 48*o\/7 - 152\/7 = 0.\nAnswer: -38\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y = -24*y + 12. Suppose -5*h + 4*l = -104, y*h - 5*l + 44 = 5*h. What is the greatest common divisor of h and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2820 a factor of 446705348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 9*k. What is q(6)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 1, -9 in increasing order.\nAnswer: -9, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a**2*r*x - 3*a**2*r - 2*a*x + 6*r*x - 10 wrt a.\nAnswer: -8*a*r*x - 6*a*r - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 580\/1421*4*6*(-14)\/(-48)\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11751031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 + 83*j - 191. What are the prime factors of y(28)?\nAnswer: 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rc when two letters picked without replacement from qcfqqqcqrcqfcqcqr?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/1611 and -25\/2979?\nAnswer: 533241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6809, 7631, 8405, 9107, 9713, 10199, 10541, 10715?\nAnswer: 10697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -2, -4, -8 in decreasing order.\nAnswer: 4, -2, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/1 + 1 - -130. Suppose 95*p - m = 89*p. What is the remainder when 6\/(-15) + 1228\/20 is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/sqrt(2) + 3 + (sqrt(98)*1 - sqrt(98))**2 - (sqrt(4)\/sqrt(2)*3 - sqrt(128)).\nAnswer: 3 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 361809599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -12\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5 = j. Suppose -4*u - 4*t - 28 = 0, 0 + j = -t. Which is the third biggest value? (a) 3 (b) 0.3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116 - -115.7. Let b = -29 + 29.6. Let n = b - 1. What is the second biggest value in -3, y, 2, n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1754006\/29 > 60483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 1\/120*m**5 + 0*m**3 + 0 + 0*m**4 + 0*m - m**2. Factor q(h).\nAnswer: h**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10.19 - 0.19. Let w = y + -4. Do w and 1\/6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 556, 2254, 5078, 9022, 14080, 20246, 27514?\n\"Answer: -b**3 + 569*b**2 - 2*b - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 7*w = -6. Let x = w + 3. Let y(l) = 26*l - 6*l - 10*l - 5*l - x. What is y(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1994035589 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: Rearrange ((0 + 0 + 3)*(8 + 6 - 3) + 2 + 1 - 1)*(0 + 0 + 2*u)*(2 + 2 - 2)*(-1 - 2 + 1) to the form q + a*u and give a.\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + 0. Let r = 3.07 + -0.07. What is the third biggest value in 0.5, j, r?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a8b9 (base 13) to base 7\nAnswer: 633146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270814?\nAnswer: 2, 43, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40353113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4408 divided by -462?\nAnswer: -2204\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 222435.\nAnswer: 1557045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37344 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.4399 to one decimal place.\nAnswer: 66.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 262.998 - -0.002. Let s = -262 + g. What is the nearest to s in 1, -5, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 19. Let y(l) = l**3 + 7*l**2 + 4*l - 11. Let d be y(n). Solve s + d = 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 408, 3, -1, 1, -684, 11 in descending order.\nAnswer: 408, 11, 3, 1, -1, -684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 0.05369.\nAnswer: -0.44631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-6) + 2*8914\/8. What is the first derivative of 2229*j - q*j + 16*j**4 + 20 wrt j?\nAnswer: 64*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4249 and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 20*c**2 + 2*c + 195. What is s(0)?\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 96929576 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-708)\/(-59)*6\/72.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-1 - -2) + 3 + -3)\/((-1658)\/81242)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -24100212?\nAnswer: 24100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23323 (base 5) to base 2.\nAnswer: -11010110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 2*h + 3. Let r be p(-2). Suppose 2*a + 2*j = 0, -r*j + 6 = a + 2. Sort 1, 0, a in increasing order.\nAnswer: a, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212111 (base 3) in base 12?\nAnswer: 44a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -41*o - 8. Suppose 17*c + 4*c = -9*c - 30. Calculate v(c).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412 + 3*t**3 + 806 - 408 + 14*t**3.\nAnswer: 17*t**3 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19490 is divided by 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vh when two letters picked without replacement from bbvhhbbvhb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 784*y**3 - 1126*y**2 + 1242*y - 10?\nAnswer: 4704*y - 2252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -256 - -400. Calculate the remainder when c is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-80)\/(-32)*16\/10. Suppose -x = -33 + 6. Suppose 2*p + 31 = x. Put 5, n, p, 11 in ascending order.\nAnswer: p, n, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1815\/110)\/((-18)\/36)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 14. Let s = 12 - k. Let z = s + 0. Solve -3*y = -d - z, -d = -6*d + 2*y - 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1759725 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2006612.\nAnswer: 2, 17, 23, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 153631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/13)\/l**2)\/(l**(-2\/5)\/l)**(-1\/34) assuming l is positive.\nAnswer: l**(-4851\/2210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2141 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -22 and -403.7422807.\nAnswer: -425.7422807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.9 - 0.1. Let k = 11 + o. What is the nearest to 1 in k, -6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20485)\/2410*56\/(-17)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(-2\/7)*a))**27*(a\/(a**(-2\/9)\/a))**(1\/7) assuming a is positive.\nAnswer: a**(506\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1286907?\nAnswer: 3, 47, 9127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 2*o**4\/3 + 11*o**3\/6 - 11*o - 9. Let w(p) be the first derivative of z(p). Find the second derivative of w(q) wrt q.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 p when four letters picked without replacement from opooooottootoooop?\nAnswer: 33\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2347433*g**4 + 1542528?\nAnswer: -9389732*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - (-12 + 0)) + -3. Suppose 0*l - u = v + 4*l, -4*l = 12. Suppose 3*y - y - 660000 = v. Round y to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -4, 3\/4, -2\/11, -0.02?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -17*t + 4. Let k be b(-3). Let i(q) = 3*q + 4. Let d be i(-3). Let f = d + 27. Calculate the highest common factor of k and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 328 - 274.7. Let v = q + -70. Let l = 17 + v. Which is the biggest value? (a) l (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100\/(-150)*2\/(-4)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -176\/17653 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.52 (b) -5 (c) 4\/5 (d) -1\/59 (e) -251\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8174*a**2*n**4 - 163*a**2*n + 13*n**4 + 21*n**2 wrt n?\nAnswer: 196176*a**2*n + 312*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k + 5. Let s = 4 - 2. Let n be -1 - -4*2 - s. Let z(g) be the second derivative of 7*g**3\/6 + 3*g**2 - 35*g. Determine n*z(p) - 6*x(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 23*p + 340. Let c be t(-33). Let h(q) = -6*q - 14. Let x(y) = -2*y - 5. Calculate c*x(b) - 3*h(b).\nAnswer: -2*b - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977429381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 10:36 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 11:22 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7949503?\nAnswer: 7949503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006 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: Let q(w) = 5*w - 9. Let o = 1 - -3. Let g(z) = 3*z - 5. Let f(t) = o*q(t) - 7*g(t). Determine f(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-9))\/((-22)\/(-726))*(-518)\/(-74)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 347a1 (base 15) to base 2\nAnswer: 101000110010111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -13 + 6 + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -264832?\nAnswer: -264832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 15 = -c - r, 5*r = c + 5. Suppose -c*f - 5*n = -25, 0 = 4*f + 5*n - 9 - 6. Let s = 1 + 4. Solve -t + f = -s*i, 3*i = -5*t - 23 - 11 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3\/5 = -1\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**10*h\/(h**(-6)\/h)*h*h*(h*(h*h*h**(1\/3)*h)\/h*h)**(-2\/47) assuming h is positive.\nAnswer: h**(2935\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 192637 is divided by 8755?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 243.4731 * -0.3\nAnswer: -73.04193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55449\/(-2196))\/(((-1)\/12)\/((-19)\/57)).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69882907, -69882909, -69882911, -69882913, -69882915?\nAnswer: -69882917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -186148\/9 + 20684. Which is greater: 2 or q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 303472?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-8))\/(((-6)\/4)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1833393 and 3.\nAnswer: 1833393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*j = 0, f - 2*j = 5*f - 4. Let n(i) = -2*i + 106 + 104 - 207 + 70*i**f. List the prime factors of n(1).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 38*q**2 - 10*q - 169. What is the hundreds digit of g(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 91.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 0, -0.5, -20.2, 5 in increasing order.\nAnswer: -20.2, -0.5, 0, 3\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66217493.\nAnswer: 66217493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 65*y**2 + 131*y + 333. What is the remainder when 6863 is divided by c(67)?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*d - d - 8*d - 5 - 4*d - 2*d + 4*d + (0 + 0 - 1)*(-4 + 2*d + 4).\nAnswer: -6*d - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k - 2. Let o be i(0). Let y(j) = 36*j**2 - 6*j - 7. Is y(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 5*x - 15, 18*x - 9 = c + 14*x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 - 31. Suppose -7*o + t = -16. Let c be (3\/15)\/(o\/6)*5. Solve -2*u - m - 8 = 2, c*m = -3*u - 17 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7545\/12 + (-10)\/(-40). Suppose -48*f + w = -667. Solve f*i + 3 = 24*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 4 = -12. Factor 6*z**3 + 3*z**2 + 149*z + z**s - 3*z**3 - 148*z.\nAnswer: z*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -54. Let y = t - -76. Suppose 0 = 5*b - 4*b - 3. What is the greatest common factor of y and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 11*g + 27*g - 66. Let p be (19\/68)\/((-19)\/(-76)). Is p at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 1162462.\nAnswer: 5\/1162462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -364648 > -364629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k**2 + 2*k + 0 - 2*k - 2*k + 6*k + 2. Let f be i(-1). Determine q, given that -2*q - 2 - 1\/2*q**f = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 40 = 3*m, 2*m - 55 + 15 = -2*a. Solve 22 = 5*l + 2, -4*o - a = -l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1689 = 2*q, -4*q - 3*h = -2676 - 727. Is q a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6673705*w**2 + 14049708*w wrt w?\nAnswer: 13347410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -17*i**2\/2 - i + 6. Let v be y(-5). What is the highest common factor of v and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -943*c**3 - 279*c**3 - 1643*c**3 - 166*c**3.\nAnswer: -3031*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1748628646 to the nearest integer?\nAnswer: 41817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1960496 a multiple of 623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o + 25. Let q(z) be the second derivative of -z**4\/12 + 19*z**3\/6 - 157*z + 14. Calculate q(f(m)).\nAnswer: -4*m**2 + 62*m - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 121102103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7803\/28 at most 140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (8 + (-11 - -5))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 607*z**2 - 1330*z**2 + 559*z**2.\nAnswer: -164*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 14 = -7*h, 0 = 48*h - 49*h + 2 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*l = 18*l. Suppose l = 13*p - 14*p + 3. Let h be ((-48)\/(-32))\/(3\/20). Solve h = -3*n + p*u + 1, -9 = 5*n + u for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 2 + 8 - 12) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 169333\/319830 - 4\/4569. What is the common denominator of 51\/182 and q?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25802 - -25797. Let k(v) = 66*v + 316. Determine k(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 - 6*b**3 - 4*b**3 + (0*b**2 - 3*b**2 + 2*b**2)*(2 + 3*b - 2).\nAnswer: -13*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -105 - (114 + -106 + -29)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 4. Which is greater: k or -3\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-3)*(-18)\/(-12). Let h = t - -12. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/3 in -0.1, 3\/5, 1\/140, -2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 9 = -3. Let m(r) = -3*r + 5*r - 3*r + 4*r - i. Is m(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 83 = 8*i. Let p = i - 5. Solve 0*g - p = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 178, 91, 8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dj when two letters picked without replacement from bddqqqjzdzbjd?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/10*5\/(-2)*121\/22?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71 - 51. Let s = g + -20.32. What is s rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(0 + sqrt(3) + 3 - (sqrt(3) + sqrt(18)\/(sqrt(6)*-2))))**2*-6.\nAnswer: -2925\/2 - 450*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 597789729.\nAnswer: 3, 7867, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 79531 (base 11) to base 12\nAnswer: 56741","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306 is divided by 106?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g + 3. Let l be z(-2). Let s be 3*l\/(27\/6). Which is the nearest to 0? (a) -3 (b) s (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002825356 rounded to six decimal places?\nAnswer: -0.002825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.2 + 2. Let c = 0.2 + j. Let m = 3.3 - 0.3. What is the second smallest value in 5, m, c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*l, 0 = 5*m + l + l - 20. Suppose -5*q - 105 = -m*q. Let h be 24\/q - (-4)\/10. What is the third biggest value in -0.3, 1, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 38, 44, 46, 38, 14, -32, -106, -214?\n\"Answer: -k**3 + 4*k**2 + k + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 42*s**2. Let v(c) = 42*c - 11. Calculate v(y(b)).\nAnswer: 1764*b**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*o + 4. Let x be -2 - (o - 0) - -3. Let v be (-1)\/x - (-24)\/5. Sort 3, -4, v in decreasing order.\nAnswer: v, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20458574, 40917149, 61375724, 81834299?\nAnswer: 102292874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 943 - 940. Solve -2*o + 3*o - 3*q = -7, 10 = -4*o + f*q for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*s + 13 = -2*w, 0 = -3*s + 3. Let c(z) be the third derivative of -z**6\/60 - z**5\/30 + z**4\/12 - 2*z**2. Let r be c(-2). Is w less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o - 13. Suppose -71 = 5*c - 0*c + 4*j, -c - 5*j - 31 = 0. Let w be b(c). Is w\/(-32) - (-946)\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 595 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2914 - 2904. Solve 3*m = 5*g - j, -7*m - 2*g - 22 = -3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -461 + 201 + 265 + 169*r.\nAnswer: 169*r + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 15 = 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v - v - 2*v)*(37*v**2 + 33*v**2 - 11*v**2) to the form z*v**2 + d*v**3 + u + w*v and give d.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 836\/(-924) + (-4)\/42. Let i(r) = -8*r**2 + 11*r. Let m(a) = 4*a**2 - 6*a. Let t(q) = 6*i(q) + 11*m(q). Calculate t(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 18\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + -29 - (47 - 127).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/2 of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/7 - 10948*i**2 + 76634*i\/7.\nAnswer: 2*i*(i - 38317)*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 111317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 528 - 525. Which is the closest to 1? (a) 1 (b) j (c) 4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -1446*j**3 + 1446*j**2 - 3. Determine w(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i + 3*i**2 + i**2 + 12*i.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/4 - 3) + 4. Let k(g) = g**2 - g + 1. What is the remainder when 13 is divided by k(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37900?\nAnswer: 2, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 11*r**4\/6 + 31*r**3\/3 - r**2 + 42*r. Find the second derivative of j(z) wrt z.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a kilometer in meters?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 160.026 - 160. Let p = o + 3.974. What is the third smallest value in 2, 2\/11, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g + 4*g + 0*g + (1 + 5 - 4)*(-76*g + 89*g + 146*g).\nAnswer: 321*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3418 - 3411) + (129\/(-66))\/((-2)\/(-8)).\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -840 times -52591?\nAnswer: 44176440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009258 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 111072\/(-7800) - (0 + (-14)\/1)?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -525*p**2 + 95*p**2 + 3 - 2 to v + i*p + q*p**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a - 18*a + 480 = 0. Does 17 divide a\/168 + 1896\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15402 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3128 - -3126. Which is the closest to v? (a) 1 (b) 0.4 (c) -0.14 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -k - 69, 197*v - 3*k + 27 = 198*v. Let d = 6 - 4. Solve d*p + 4*p = -v for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**2\/2 + 16*a - 4. Calculate the remainder when f(11) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3201 and -2?\nAnswer: 3203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.13 and 3377 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 v when four letters picked without replacement from {x: 1, u: 1, v: 4, o: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 2) + 7 + -2 - 4 - (322 - 379)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 1 + (-16 - -13) - (18 + -22)) + -21?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10633, -21316, -32009, -42718, -53449?\nAnswer: -64208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 - 62. Let h be (-44)\/(-10) + v\/45. Let n = h - 2. Solve 0 = 6*b - 4*b + n*c + 8, 2*c = 5*b - 15 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 283, -0.2, 1.1, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -k - 57. Let d = -48 - k. Suppose -t = -m - 10, 2*t - 7*t + 3*m + d = 0. Solve t*u + 5*j = 25, u - 21 = -2*j - 3*j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 10 = 2*q - 4*q + 4*q, 3*s + 9 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1 - 1) + -2)\/((-1)\/5). Solve 3*g - u = 8*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.48, -2\/11, 0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 62?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-4 + (7 - -2) + (-6 - -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2548)\/(-6))\/((12\/(-9))\/4). Let z = -476 - m. Does 38 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 14 = -h + 4*d, 4*h - d = -39. Let u be ((-8)\/(-10))\/(h\/(-75)). Solve -3 = -2*r - m, -r + u*r = 2*m - 15 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -16. Let y be -3 - (-87)\/(-27) - 12\/(-54). Is d at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (17 - (4 + -3 + 7)) - (10 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -3\/2, -278, 9\/5?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l. Let s(u) = -7*u + 4. Give -6*h(w) + s(w).\nAnswer: -w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5410099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**3 + 4*c**3 + 4*c**3)*(1 - 1 + c**2).\nAnswer: 12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 436*a. Let j(z) = -145*z. Calculate -10*j(f) - 3*q(f).\nAnswer: 142*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-692)\/16089)\/((-14)\/3255)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 PM and 12:14 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*3*1*-1. Let s(c) be the third derivative of -c**6\/24 - c**3\/6 + c**2. Let u be s(-1). Solve 4*l - 5*b = -q, -4*b + 2 = u*l - 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1))**(-2\/103)\/(n**(4\/7)\/(n**(9\/4)*n)))**(-9\/7) assuming n is positive.\nAnswer: n**(-70029\/20188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 72389 a multiple of 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.32 rounded to one decimal place?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -4\/3, -103634, -4, -2?\nAnswer: -103634","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 4*m - 1. Let d be b(-4). Let z(f) = f**2 - 5*f**3 + 259 - 259. What is z(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + 0*n**2 + 3*n**3)*(-3 - 3 + 5) - n - 2*n**3 + n - 5*n**3 + 3*n**3 + n**3 - 1 - n**3 + 3 - n**3.\nAnswer: -8*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1618\/3 + -550. Let p = 10 + j. What is the nearest to -1 in 1\/6, p, -0.02?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144 divided by 138\nAnswer: 24\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1295 by -5.\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 6 - 8)*(-4*a**4 + 5*a**4 - 2*a**4) as y*a**4 + x + m*a**2 + f*a**3 + i*a and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qssqqqsssqqsqqqqqqq. What is prob of sequence sqsq?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-25)*2 + 1*-3. Let j be (-1)\/(-4) - 34\/8. Which is greater: j or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + 1 + -5*(sqrt(1377)*-3*-1 + 5))*1)**2.\nAnswer: 60750*sqrt(17) + 2794050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 9 + 0 - 2*f**3 + 34*f - 6*f**2 - 6 - 29*f. Let o(s) = 2*s**3 + 7*s**2 - 6*s - 4. Suppose -4*p - 5 = -3*p. What is p*o(j) - 6*k(j)?\nAnswer: 2*j**3 + j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -486 + 485.9999701. Round s to 6 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25577 is divided by 574?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*i*p**3*s**2 + 4*i*p**3 - 2877*i*p**2*s**2 + 4*i*p*s**2 + 4*i - 11769*p**3*s + 6*p**2 wrt p?\nAnswer: -48*i*s**2 + 24*i - 70614*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366026*x = 366250*x + 18592 for x.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -107939, -107938, -107937, -107936, -107935?\n\"Answer: i - 107940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 - -28. What are the prime factors of (m + -2)\/(5\/(-285))?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 + -24. Suppose 3*z = 4*z - 3*h - 9, -2*z - h = -4. Suppose l = 4*u + z. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z = 77 - 17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 15*y**2 + 0*y + y**2 in the form a*y**2 + z*y + u and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/968 and 202\/24*9*(-4)\/(-54)?\nAnswer: 8712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of z**4 - 182*z**2 - 377*z wrt z?\nAnswer: 12*z**2 - 364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 23*a**2 + 9*a - 104. Let d be p(-26). What is d rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8893*l**2 + 187*l + 496016 wrt l?\nAnswer: -17786*l + 187","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 21 = -2*p, -4*p - 12 = -5*q - 3*p. Suppose q*z - 19 = 32. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -901338 divided by 12.\nAnswer: -150223\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 34831.19 kilograms in grams?\nAnswer: 34831190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18186 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7805780 divided by -10.\nAnswer: -780578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-68 - -1)) + -6 + 0 + (358 - 353).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 - 8604.\nAnswer: -8604.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 68 + 143 = 0. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = m - 2. Solve 3*a + 23 = -0*a - 4*f, 3*f = -m for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 656367.9m to kilometers.\nAnswer: 656.3679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3767000\/35)\/(2\/350). What is q rounded to the nearest 1000000?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -273, -547, -819, -1089, -1357, -1623, -1887?\nAnswer: -2149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -4.8, -0.1, 2\/11 in increasing order.\nAnswer: -36, -4.8, -0.1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/7*y - 8\/7 + 8\/7*y**3 + 6\/7*y**2 + 2\/7*y**4.\nAnswer: 2*(y - 1)*(y + 1)*(y + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + t + 2 = -3, -2 = 2*t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 8*p - 3. Suppose 5*c = -v - 17, 2*v + c = -2*v - 30. Let j be f(v). Let m be -3*2\/(-3)*-1. Sort 3, m, j in descending order.\nAnswer: j, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73623, 147272, 220921?\nAnswer: 294570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 577 divide 850498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-2) - (-17)\/(-272)*-8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*20\/70 + 52\/14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11\/2 (b) 1 (c) -1 (d) -1\/6 (e) -0.2 (f) 28\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29856 = -27*k + 3*k. What are the prime factors of k?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -17*k**5\/4 - 265*k**4\/12 - 100*k**3\/3 - 10*k**2 - 205*k. Let j(b) = 0. What is b?\nAnswer: -2, -1, -2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 873, -1, 2 in descending order.\nAnswer: 873, 2, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 9*n**7\/70 + 9*n**5\/20 - 26*n**2. Find the third derivative of b(i) wrt i.\nAnswer: 648*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -17, -0.1, 0.06, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 142 = -2*p - g, 0 = -3*p + 2*g + 201. Suppose -39*v + p = -34*v. Suppose -3*w = 28 - v. Is -34\/7 >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + x - 4*x)*(1 + 0 - 7)*(2 + 0 - 5).\nAnswer: -36*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 + 30.77. Let k = g + 0.33. Let t = -112 - -1010\/9. Which is the biggest value? (a) k (b) t (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10273503?\nAnswer: 3, 359, 9539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*f**2 + 11*f**2 + 2*f**5 + (21*f**3 - 40*f**3 - 27*f**3 + 3*f)*(-3 + f**2 + 3).\nAnswer: -44*f**5 + 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17.777 - 16.34. Let a = -0.067 + p. What is a rounded to 1 dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2 + 7 = -3*j, -4*u = -5*j - 27. Suppose 0*f - 8 = -f. Suppose -2*t + u = 0, f*z - 120 = 4*z + t. List the prime factors of z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 3. Let j be u(6). Suppose -5*t - 4*s + 1063 = 0, -j*t = -s + 4*s - 639. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1070b85 (base 12) to base 4\nAnswer: 23330312111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -161*d + 7. Let z be a(1). Let i be 7\/z*-18 + (-2)\/(-11). Suppose -4*s = -3*j - 35, 5*j - 6*s = -3*s - 51. What is the nearest to i in j, 1\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/8 and 97\/374.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2021 divided by 1281?\nAnswer: -2021\/1281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r + 1368 = -360. Let u = 103 + -51. Calculate the remainder when r is divided by u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26075*b**2 - 3*b - 26079*b**2 + 2 + b)*(-b - b + b)*(0*b - 2*b + b).\nAnswer: -4*b**4 - 2*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.1, -2\/9, 2\/9 in decreasing order.\nAnswer: 5, 2\/9, -0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 3. Let y be a(4). Let n(w) = -w + 17. Let g be n(y). Let o(q) = g*q - 26*q + 18*q. Let z(r) = 15*r**2. Calculate o(z(f)).\nAnswer: 30*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3194859 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.02 (b) 7 (c) -0.05 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3 = -4*n + 1, 0 = 2*m + 5*n - 5. Suppose 3*w - 22*w + 12787 = m. Is w a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3019953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.32260517 to four decimal places.\nAnswer: 0.3226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29244 or -29186?\nAnswer: -29244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - -19 - 8 - (1 + 0).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1069.8000044993 + -1069.8. What is m rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1829 is divided by 96?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 13 = -1. Suppose 4*y = -d - y - 2, f*d + 20 = -y. Let g(z) = 3*z + 2. Calculate g(d).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/170?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 8*m**2 - 13*m - 19. What is v(-7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.030054 - -15.029997. Let w = n - 13. What is w rounded to five dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + -27 + 17 - 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of 2*n**3\/3 + 13*n**2 - 30*n - 113. Let p be b(-14). Let t = 11\/2 - 6. What is the third smallest value in t, p, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.42926 to the nearest integer.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s. Let n(i) = -3*i**2 - 9*i - 9. Let a(d) = d + 1. Let m(l) = 9*a(l) + n(l). Give m(x(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 0.3, -1\/5, -49, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -2\/5, -2, 0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4 = 16. Let q be 6\/(-10)*-1*r. Solve -4*h = -5*h - q for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 250*b + 280*b - 329*b + b - 4*b + 2*b + (0 + 0 + 1)*(2 - 2*b - 2).\nAnswer: 198*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207001*n**2 + 23*n**3 - 207001*n**2 - 52*n**3.\nAnswer: -29*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9580.\nAnswer: 2, 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 338, 0.4, -0.5, -5, -2\/23?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -35*u**2 - 4*u. Let q(a) = -4*a. Calculate q(s(w)).\nAnswer: 140*w**2 + 16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/3)\/((-8)\/1356). Let b(r) = -r**3 - 9*r**2 + 9*r + 7. Let l be b(-11). Suppose -l + g = 5*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1308 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 6. Suppose -v = 3, v + 7 = s*p - 2*p. Let a(t) = -12*t + 1. Determine a(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4314\/11, 0.38, -20, 5, -2\/11 in increasing order.\nAnswer: -20, -2\/11, 0.38, 5, 4314\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 + 14 + i - 2*i**3 + 3*i**3 + i**4 + i**2 + 10*i**3 - 8*i**3 as o*i**3 + m*i + c*i**2 + z + b*i**4 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8201, 8203, 8207, 8213, 8221?\nAnswer: 8231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 y when two letters picked without replacement from mymyyooooobo?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 35301067 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-15 + 7) - 7) + 8 + 6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(80) + sqrt(80) + -1)*1.\nAnswer: -24*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**9)**(-8\/13)*(c\/(c\/c**(-1)))**(-1\/53))**(-41) assuming c is positive.\nAnswer: c**(155923\/689)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5245529735 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -837*o - 1116*o - 4120*o + 228*o as f + z*o and give z.\nAnswer: -5845","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -2\/11, 32.\nAnswer: -0.5, -2\/11, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1462, -6028, -13640, -24298, -38002, -54752?\nAnswer: -74548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4 = 2*h. Suppose 0 = -3*z + 15, 5*u + 2*z - 70 = -h*z. What is the remainder when (1 - 3)\/((-4)\/78) is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224792 is divided by 100.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 39, 429, 1501, 3597, 7059, 12229?\n\"Answer: 57*i**3 - i**2 - 6*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(0*t + 0*t + 2*t) + 3*t + 2 - 2 + 0*t - t + 0*t + (4 - 2 + 0)*(0*t - 3*t + 2*t) + 0*t - 2*t + t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1130 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) 0.5 (c) -2 (d) -30\/11 (e) -50\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/16*48\/(-126)*(41552\/96)\/(-53).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h\/h**(-1))*h*h)**(-33))**(-20) assuming h is positive.\nAnswer: h**1320","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 123 - 291 = -i for i.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n - 1. Let b(z) = 2*z**2 - 2*z - 2. Let d be b(-3). What is the remainder when u(3) is divided by 285\/55 + (-4)\/d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/4 and (-63)\/4*(-2 - 231\/(-117)).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (3 - 10)) + 1. Let a(u) = -6*u + 2. Let t(p) = 11*p - 4. Let b be 5 - ((-2 - 0) + 3). Let h(g) = b*t(g) + n*a(g). Calculate h(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -765da3 - -22?\nAnswer: -765d81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**3 - 7167*j**2 + 92700*j - 85536 = 0.\nAnswer: 1, 12, 2376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1646892 and 216.\nAnswer: 3293784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4504*n**3 + 54*n**2 - 4 - 7*n - 28*n**2 + 7*n - 33*n**2 wrt n?\nAnswer: 27024","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**2\/n)\/n)**(27\/2)*(n**(2\/3)\/n)**19)**5 assuming n is positive.\nAnswer: n**(-95\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12646\/597 < 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65448 and 65448?\nAnswer: 65448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*2*(-458)\/(-458)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -74.00619 and 73?\nAnswer: -5402.45187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 70*f**3 - 5615*f**2 + 94600*f + 748845 = 0.\nAnswer: -81\/14, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10644160 and 5.\nAnswer: 10644160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1583\/5178 or 0?\nAnswer: 1583\/5178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80067785.\nAnswer: 5, 7, 127, 18013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 1. Let g(m) = 1. Let s(h) = -2*g(h) + 2*o(h). Let z(n) = -12*n**2 - 16*n**2 - 12*n**2 + 41*n**2. Calculate z(s(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/((-24)\/1120*-4). Suppose -27*i = -g*i. Solve t + 2 - 1 = i for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -12*q - 20. Let f be m(-2). Let j(l) = -l**3 + 4*l**2 + 3*l + 3. Let d(k) = k. Let g(t) = -4*d(t) + j(t). Give g(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 3*m**2 + 8*m + 4. Let k(v) = v**3 + 3*v**2 + 2*v + 1. Let f be k(-3). What is the remainder when 25 is divided by p(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 1. Let a(u) = u + 19. Determine -a(d) + 4*x(d).\nAnswer: -d - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 43310, 173231, 389766, 692915?\n\"Answer: 43307*n**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.38 + 3.52. Let c = 0.86 + g. Let z = 86 + -82. What is the smallest value in c, 1, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*v**2 - 32*v**3 + v**2 + 6*v**4 - 5*v**4 - 11*v**2 to the form z + j*v + a*v**3 + p*v**4 + d*v**2 and give a.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*t - 202*t + 115960 = 0. What are the prime factors of t?\nAnswer: 2, 5, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*k + 544 = 52*k. Let c = 96 - k. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**2 + 5*i + 9. Let p(a) = 3*a**2 + 4*a + 10. Let c(t) = 5*p(t) - 4*q(t). Suppose -11 - 38 = -7*y. Let v(m) = -5 + 12 - 2*m - y. What is c(v(s))?\nAnswer: -4*s**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1423c3 (base 14) to base 9\nAnswer: 1273101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 1010101111010?\nAnswer: 1010101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*sqrt(539) + -5)*6.\nAnswer: -42*sqrt(11) - 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4285*u*y**2 - 18*u*y - 5*u + 3*y**2 - 18 wrt y.\nAnswer: -8570*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 474920?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -93 divided by 88401\nAnswer: -31\/29467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i - 146 + 298 - 152.\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1050573801.\nAnswer: 3, 350191267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**2\/4 - 4643*z\/4 - 10467 = 0.\nAnswer: -9, 4652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1411)\/510*(-20)\/(-88) and 73\/51.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 4 - 7) + (20 - 7 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 - 2*j + 3*j**3 - j - 4*j**2 - 4*j**3 to m + k*j + s*j**2 + c*j**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -23 - 2*d - 32 + 57. What is a(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, w: 1, n: 1, e: 2}. Give prob of picking 2 u.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -2002\/109, 0, -0.1, 0.6 in increasing order.\nAnswer: -2002\/109, -1, -0.1, 0, 0.6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*v - 12 = 0, 2*v - 687 = -3*c. Let j = c + -157. Calculate the remainder when j is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/5 + 5424*z**2\/5 - 787698*z + 863266708\/5.\nAnswer: -2*(z - 1706)*(z - 503)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8688 + 5*m + 8688 + 22*m**2 - 426*m**2.\nAnswer: -404*m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - 14. Let q = 35 + s. Suppose 196*k + 105*k = 6*k + 48380. What is the least common multiple of q and k?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 23*x + 242. What is u(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -16*d**2 - 3*d - 2. Let c be n(-2). Let r = c + 92. Let p = r - 21. Solve 3*m = 3*k, 5*m + p = -k + 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18a6 (base 11) to base 12.\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bg when two letters picked without replacement from bbbgg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*b - 10*b - 4. Suppose -b*n + 3*r - 3 - 27 = 0, 0 = n - 5*r + 16. Let z(x) = -x - 15. Let k be z(-11). Put 3, n, k in decreasing order.\nAnswer: 3, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 62)*(-13)\/(-104) + (-3)\/(-24).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2 (b) 0 (c) 1\/4 (d) -3\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 29*z + 0 + 90*z)*(214*z - 91*z + 19*z).\nAnswer: 8662*z**2 - 142*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(77))\/sqrt(11) + sqrt(448) + -1 + 2.\nAnswer: 1 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03155 to 3 decimal places.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-4)\/144*15\/10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*l = -12, -3*l - 5 = 2*l. Let b(k) = 3*k. Let c = -155 + 165. Calculate the smallest common multiple of b(a) and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003993 to five decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 22 - 5\/2*h**2 - 18*h. Let b be a(-4). Solve 3*i + 3*g = b*i + 20, 2*i - 2*g = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = 3*a + 4*d, -4*a - 6*d = -d + 104. Let j = 40 + a. Calculate the least common multiple of 1 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**2 - 12*c**2 + 2 - c**2 + (-2 - 2*c + 2)*(3*c - 2*c + c) in the form l + y*c + m*c**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -255.733 - -255.6. Sort -0.5, x, 1\/10, -3 in ascending order.\nAnswer: -3, -0.5, x, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 686257, 686360, 686463, 686566, 686669, 686772?\nAnswer: 686875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.51 plus -52.75?\nAnswer: -96.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/60 - 1612\/60. Let x be 10*(5 - g\/(-6)). Suppose 4*l - x*l + 14 = 0. Solve 2*j + 2*o - l = -2*j, j = 3*o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -536*h**2 - 555*h**2 + 2131*h**2 - 2 - 556*h**2 - 546*h**2.\nAnswer: -62*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 56\/16 - (-2)\/(-4). Let a(o) = -o**2 - 5*o. Suppose 5*j + 19 = -6. Let c be a(j). Solve d*t - 4*t = c for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from ksskkppsokpk.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 73*l**3 - 2*l**2 + 2*l + 2. Let n(u) = -1240*u**3 + 35*u**2 - 35*u - 35. Give -35*b(c) - 2*n(c).\nAnswer: -75*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 r, and 2 p when four letters picked without replacement from {r: 1, q: 4, p: 2}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 (base 12) in base 13?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5 - 1145\/210 - 3\/(-18). Let l = 9.6 + -10. Let j = 14 + -11. Which is the nearest to j? (a) u (b) l (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 502693565?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 4:58 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -11853480.098 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**2. Let v(h) = -88145*h**2. What is d(v(o))?\nAnswer: -23308623075*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -12*d - 27. Let x be 2\/((8\/(-6))\/2). Let c(v) = -4*v - 1. Let y be c(-1). Put x, y, d in ascending order.\nAnswer: x, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v - 2. Let l(s) = -14 - 1 + 6 + 8. Calculate h(u) - 3*l(u).\nAnswer: 6*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 6 = 2. Let y = 1 - l. Solve -5*a - 4 = -4*j, y*j + j + 20 = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 2\/25 (c) 3\/2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52052 - 27462. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/182066051 or 0?\nAnswer: 1\/182066051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p + 2*p - 4*p)*(-1177251 + 1177251 - 2431*p) to the form k + c*p + h*p**2 and give h.\nAnswer: -2431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 432 and 7488.\nAnswer: 22464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away 1413?\nAnswer: -1409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/7)*g\/g**(-9))**30*(g*g**(-1))**(13\/3)\/(g**(2\/7)\/(g*g*g*g**(1\/2))) assuming g is positive.\nAnswer: g**(3945\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001399061 to five decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17229*n = 17358*n + 15996 for n.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20546.9 - 20547. Which is the nearest to p? (a) 2\/9 (b) 0.09 (c) -0.5 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 19 - 147 + 8*o**2 - 3*o + 183*o + 0*o**2 - 160.\nAnswer: 4*(o + 24)*(2*o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 2:56 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5088*p**2 - 17*p + 32. Let t(f) = 5087*f**2 - 16*f + 32. Let n(i) = 5*b(i) - 6*t(i). Let m be n(4). Round m to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 2*o**2 - 6. Let a be r(0). What are the prime factors of a\/(-10) + (-8432)\/(-80)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((-1)\/2)\/((-6)\/3).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 63*b**2 - 2*b**3 - 12*b - 75*b**2 + b**3 - 1. Calculate the smallest common multiple of 8 and y(-11).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from {p: 1, d: 1, u: 1, n: 1, x: 2, v: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 - 2*s**2 - 2*s**2. Let a = 2 - 0. Let y(r) = a*r - r + r. Give y(n(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 200*t + 48. Let o = -241 - -243. What is the tens digit of m(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 291 and 36612941?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 0.5 (c) -9 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7 = 3*q - 5, 2*j + 4*q = 2. Suppose j*w = 8*w - 10. Suppose 15*m - w*m = 725. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.3272 + 0.3272. Let d = -253\/5 + 50. Which is the third biggest value? (a) -5 (b) y (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 - (-16 + (-39 - -33))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252 = 4432972*y - 4433056*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 1635*a**2 - 1625*a**2 + 0 + 17*a to u*a + p + s*a**2 and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -16.5. What is the third smallest value in -2, h, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1865530708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7798 divided by 557\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 5*y - 8, 0 + 6 = 3*q + 2*y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5*(20\/(-125)*3)\/((-552)\/(-12880))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 0.02 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1520722 (base 9) to base 3\nAnswer: -1120200210202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n - 2*n + 2*n + (2 - 4*n - 2)*(5 - 4 - 3) + 26 - 4*n - 26)*(-3 - 2 + 4)*(4 - 2 - 4)*(-3 + 2 - 2) as a*n + z and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8037649.61 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59 + 61. Suppose -l*g + 258 = 3*b + 2*b, 2*b + 5*g = 120. Let a(y) = y**3 - 13*y + 10. Calculate the smallest common multiple of a(4) and b.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/4*(180\/42)\/15?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55511\/7 + -7913. Let h be -1 - 1 - 264\/(-14). Let w = h - s. What is the fourth smallest value in 1\/2, w, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3354*w + 60381. Determine h(18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -2*q**3 - 37*q**2 + 25*q + 15. Calculate p(-19).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -13, -1\/4, 2523, -2\/15, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1478*v = 443*v - 509*v - 854*v - 148676 for v.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 250503*w - 269509 wrt w.\nAnswer: 250503","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v**2. Let q(a) be the third derivative of -a**5\/20 + 3*a**2. Calculate g(q(p)).\nAnswer: -36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1199932.\nAnswer: 2, 299983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {t: 2, h: 11, a: 1, l: 2}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25 + -784?\nAnswer: -7a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + (sqrt(12)*2)\/sqrt(6)).\nAnswer: -12*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of 3*f**4\/8 + 48*f**3 - 297*f**2 + 600*f + 880. Find w, given that y(w) = 0.\nAnswer: -100, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 0*j - 1 - j**2 - 8*j + 5 - 2*j. Let c be k(-10). Solve -2*n + 8 = 4*w, 0*w + 10 = 3*n + c*w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -3*x + 14, -5*f + 34 = -3*x. Let t = 0.25 + -0.2. Do t and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 2. Differentiate -326*r**a - 3 + 10 + 333*r**2 with respect to r.\nAnswer: 14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**3\/2 - 2*w. Calculate the remainder when 24 is divided by j(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-3) - ((-30)\/9 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 10:42 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -138.87 + 116. What is z rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 3*m = -7, -4*m = -45 + 37 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/12))**(-19\/4)*(o*o\/((o*o**(-1\/3)\/o*o)\/o*o))\/((o**(-2\/37)*o)\/o) assuming o is positive.\nAnswer: o**(587\/592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1776 - 574 = -25*i. What is the greatest common divisor of 5499 and i?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 632470621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/10 + 114\/5. Suppose -u = -2*t + t - 2*o, -26 = -t - o. Suppose -2*g - 5*c - 11 = -0*g, -5*g - c + t = 0. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 f when four letters picked without replacement from ffdfmffffffmfffrf?\nAnswer: 143\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.35? (a) -4 (b) -15 (c) -7 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 1. Let q(v) = -4*v + 2 + v + 2*v - 3. Let o(s) = 2*s - 2. Let g(x) = o(x) + q(x). Give -g(k) - 4*l(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**3 - 9*j**2 - 3*j + 2. Give r(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 450 + -175. Suppose 3*r - v = -2*r. Suppose 4*u = -p - 0*u + 14, -104 = -5*p - 3*u. What is the greatest common factor of p and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 y when four letters picked without replacement from {k: 2, c: 2, y: 5}?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooooo. Give prob of sequence ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**6\/120 - 2*q**5\/15 + q**4\/24 + 5*q**2. Let v be y(8). Calculate the highest common factor of v and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3092052*c**2*q**2 + 313*c**2*q - c**2 - c*q**3 + 3*c*q + 1789*q wrt q.\nAnswer: -6184104*c**2 - 6*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 1. Let u be m(2). Let h(a) = -10*a + 72. Let s be h(7). Suppose s*f - 27 + 6 = -u*j, j = -3*f + 14. What is the remainder when j is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 45 = -51, 2*i = -3*w + 5799. What are the prime factors of i?\nAnswer: 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrwreisneiiiensii. What is prob of sequence nn?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-30)\/(-4)*(-8)\/12. Let y be (-12)\/30*u\/3. Let l = 0.04 + -0.34. Which is the closest to y? (a) 0 (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -479 + 477. What is the common denominator of 170\/(-12) - (-7 + 10 - f) and -1\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*i**2 + 15*i**2 - 24*i**2 - 3 + 3 - 2*i**2 - 4 + 4 + i**2 + (-5*i + 4*i - i)*(-4*i + 3*i + 2*i) to x*i + l*i**2 + n and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2576 (base 9) to base 15\nAnswer: 88c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*n - 5512 + 5442 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 846 + -738. Is 54 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12918646 is divided by 2085?\nAnswer: 2071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 2:25 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 177.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6597555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 7. Let y be 0 - (-9 + (1 - 1)). Determine q(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 1 + 1)*(-z**4 - 9*z**2 + 9*z**2)*(13 - 9 - 8).\nAnswer: 16*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/42*(-21)\/3. Let o(q) be the second derivative of 830*q**3\/3 - 27*q. Let v be o(b). What is v rounded to the nearest one hundred?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*w - 12. Suppose -4*a = w - 92. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-2))\/(65\/(43680\/48))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(1\/2)\/b*b)\/b**(-15)*b**(-19)\/b*((b**(-12)*b*b)\/b)\/b)**(-1\/54) assuming b is positive.\nAnswer: b**(31\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-8)\/260 + -54*6\/(-416)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 25.27 - 10.94. Let q = z + -14. Let x = -5.57 - q. What is x rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 42 + 54 = 0. What is the highest common factor of 6 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -26\/7, -0.3, -1\/2, 0.2.\nAnswer: -26\/7, -1\/2, -0.3, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 178.3333.\nAnswer: 183.3333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 - 53.5709.\nAnswer: -41.5709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28\/9, 0.06, 2\/7, 1\/9, 2\/19 in ascending order.\nAnswer: 0.06, 2\/19, 1\/9, 2\/7, 28\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/(-3))\/((-66)\/16). Let b = 56239\/792 - 640\/9. Let j = a + b. What is the common denominator of j and 19\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16916899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of -1*-272*((-11)\/(-1) + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 2*f - 1\/12*f**4 - 9\/2*f**2 - 5\/3*f**3 + 0. What is the tens digit of o(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 10:29 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -248, -180, 66, 580, 1452, 2772?\n\"Answer: 15*x**3 - x**2 - 34*x - 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -143*p**3*r*v**2 - 193467*p**3*v**2 - 25*p**2*r*v + 230*p**2 + 2426*v**2 wrt p?\nAnswer: -858*r*v**2 - 1160802*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 5:05 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20404227379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*f - 5295*f + 5176*f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 258 - 2061\/8. Which is the smallest value? (a) o (b) 1\/11 (c) 0.2 (d) -1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**3\/2 + 2241*i**2\/2 + 1249899*i\/2 - 6305645\/2 = 0. Calculate i.\nAnswer: -1123, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12050 rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1681*g**2 - 1406*g**2 + 247*g**6 + 425*g**6 wrt g.\nAnswer: 80640*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/2*(-200)\/(-12). Suppose a - 6*a = -5*c + b, 0 = 3*c - 2*a - 49. Suppose 3*u - 41 = 3*t + c, 58 = 3*u - 2*t. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10181 less than or equal to -10183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/1 + 146 + 0 + -3. Let d = p + -141. Solve -g = -6*g + 2*v - 15, 4*v = d*g + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 98 = 2*f + 4*g, -5*f + 5*g = 140. Let z be (-6)\/(218\/(-330) - 18\/f). Let d = 39 - z. What is d rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 + 2*r**2 - r**2 + (-2 + 2 - 2*r)*(9*r + 0*r - r) + 238*r**2 - 1553*r**2 + 89*r**2.\nAnswer: -1240*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((3 + sqrt(1100)*-1)**2 + sqrt(1100) + sqrt(1100)*1 + 5) - (sqrt(5324)*-1)\/(-1*sqrt(324)).\nAnswer: -4456 + 1429*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.06 and -14798?\nAnswer: 14797.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 158 and 328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 24, 59, 108, 177, 272, 399, 564?\n\"Answer: z**3 + z**2 + 25*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*i**3 + 225269*i**2 - 3168824*i wrt i?\nAnswer: 18*i + 450538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*i = 1, -2*t - 3*i = -0*t - 9. Let c(g) = -2*g**2 - 3*g + 4. Determine c(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2552.888837 and -5.\nAnswer: 2547.888837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, b: 3}. Give prob of sequence ib.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -13305.1 and 4.\nAnswer: -13301.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -11*j**2 + 9*j + 18. Let h(t) = 5*t**2 - 4*t - 8. Let s(k) = -9*h(k) - 4*n(k). Let y(c) = 2*c**2 + 26*c. Determine s(y(d)).\nAnswer: -4*d**4 - 104*d**3 - 676*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -487 - -1472\/3. Calculate the common denominator of y and 49\/27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 73, 117, 197, 319, 489?\n\"Answer: v**3 + 12*v**2 + v + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/5, -29, 0.3, 35, -3.2?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13766 + 13770. Solve -15 = -5*x, -132*b - 16 = -131*b - q*x for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**3 - 10*f**2 - 7*f + 41. Determine w(6).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -6. Let j = 1.2 - 1.4. Let p be ((-4)\/10)\/(2\/(-30)). Which is the second smallest value? (a) v (b) j (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7852594 milliseconds in minutes?\nAnswer: 0.00004642099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3440 + 186346?\nAnswer: 189786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -15\/4, -28, -2, 3\/5, 5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16626498 = -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 35125*m**3 - m**2 - 2*m. Let k be t(-2). What is k rounded to the nearest ten thousand?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.014 and 0.01.\nAnswer: 2.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 6 = -3*g + 4*g, 5*g = -5*v + 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -31, -1 in increasing order.\nAnswer: -31, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0. Let b(w) = -12*w + 5. Let u be b(1). What are the prime factors of 13 + h + (-4 - u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (8 + 1)*-1. Solve -a*g + 12 = -13*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -4 - 154 - 34 - 4*w + 13 - 13. Let u be n(-53). Calculate the greatest common divisor of 200 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 + (-1 + -5 - -3). Calculate the common denominator of 121\/30 and (-6)\/l + ((-272)\/(-132) - -2).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*o = -182*o - 132 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 848?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338*n - 829 = 1875 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/7 + 3*(-58799932)\/(-42). Suppose -5*g = 3 - 8, -5*g = -3*j + l. Suppose -10*q + j = -9*q. Round q to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 925133 is divided by 185026?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - x + 122 = 4*x, 3*x = 6. Is i a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104 + -73. Let i = w - 32. Let r be -2*i*5*10\/(-25). Put r, 0, -3 in descending order.\nAnswer: 0, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2261 and 2?\nAnswer: 4522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 9*i - 5. Calculate q(-11).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/((-52)\/(-195)*10\/(-4))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 135324433, 135324435, 135324437, 135324439, 135324441?\n\"Answer: 2*z + 135324431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -101011101110100111001001101?\nAnswer: -101011101110100111001001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 15\/4 of a century?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 4*o - 2*k - 2, 5*o = 3*k + 4. Let b = 9 + -8.5. What is the third smallest value in o, b, 0.9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 785 - 448. Let p = 545 - z. What is the remainder when p is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5151007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 43067\/16011 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.009 + 8.591. Let p = h + -1.6. Let w = -7 + p. What is the third smallest value in 4, 1, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1654, 13200, 44528, 105526, 206082?\nAnswer: 356084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -280159 + 2.983.\nAnswer: -280156.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -8*f + 200. Suppose 4*g = -3 - 9, 4*i = -2*g + 94. Let v be p(i). Solve v = x + 2*h - 11, -6*h = -x - h - 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 6. Let s = 3 + x. Suppose -3*u + 3*r = -s*u + 18, -2*r = 0. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-5)*(-2838840)\/(-72) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -30. Let r = b - -3. Let k = r + 6. Sort 5, k, -7 in decreasing order.\nAnswer: 5, k, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-5.23011.\nAnswer: -0.523011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 421020992 to the nearest integer?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-30))\/((-6)\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-12)\/q**(-1\/23))\/(q**14*((q\/(q\/q**14))\/q)\/q) assuming q is positive.\nAnswer: q**(-873\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**6\/24 - x**5\/3 - 5*x**4\/24 + 10*x**3\/3 - 2*x**2 + 16. Factor c(n).\nAnswer: 5*(n - 4)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01 less than or equal to -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.2599 and 26.4341?\nAnswer: 24.1742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**6\/360 + o**3\/6 - 2*o. Let i(j) be the second derivative of l(j). Let n(q) = 4*q. Determine n(i(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13169, 26330, 39479, 52610, 65717?\nAnswer: 78794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2159*b + 174058 - 174058.\nAnswer: -2159*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7672, 7668, 7662, 7654, 7644?\n\"Answer: -o**2 - o + 7674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/196 + -5693\/588. Let y = 3775\/3 - 1242. Calculate the common denominator of n and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 3. Let m be j(-4). Let s = 9 + m. Suppose s*f + 2 + 4 = 0, -2 = -2*w - 2*f. Solve -3 = -w*d + 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 39*w + 36*w + 6495, 0 = 4*l + 5*w + 13023. Is l < -3252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 61819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c + 0*c + c - 3 - 5*c. Calculate l(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**2 - 51*r + 1844. Give h(-22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*a + 4*a - a)*(-6 - 16 + 6 + (-1 + 2 + 0)*(-2 + 0 + 0) + 0 + 0 + 2) in the form f*a + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 16, -78, -178, -284, -396, -514?\n\"Answer: -3*w**2 - 85*w + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4\/9 + 8*j**3\/9 + 4*j**2\/3 + 8*j\/9 + 2\/9.\nAnswer: 2*(j + 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -323, -643, -963, -1283, -1603?\nAnswer: -1923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**4 + 0*y**4 + 3*y**4)*(y - 2*y - y) + (-2*y**2 + y**2 + 0*y**2)*(y**2 + 4*y**3 - y**2).\nAnswer: -8*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5826481, 23305856, 52438147, 93223354, 145661477?\nAnswer: 209752516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i - p - 23 = 0, 2*i - 7*p + 2*p - 128 = -225 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 706\/(-315) + 35\/(1225\/10) - -2?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.04 - -0.04. Which is the closest to 0.3? (a) -2\/11 (b) -2\/13 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**6\/120 - r**5\/20 + 3*r**4\/8 - 7*r**3\/6 - r**2. Let u be a(-7). Let g = u - 66. Does 20 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19234 and 178298.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1110490 - 112?\nAnswer: 1110378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41 + -222?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*j = -51*j + 12. Solve j*o - 2*o = 16 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/1664*8*-2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6149209 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -5*(sqrt(32) - sqrt(2)) + -3)**2 + -3.\nAnswer: 180*sqrt(2) + 483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - k + 9*k)*(4 - 7*k - 4) + (-4*k - 2 + 3*k - 3*k)*(-2*k - 2 + 2 + 3).\nAnswer: -34*k**2 - 8*k - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 66689 to the power of 1\/2, to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhbbb. Give prob of picking 1 b and 2 h.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -l**6\/6 - l**2 + 3. What is the second derivative of z(q) wrt q?\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99133.29m to kilometers.\nAnswer: 99.13329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 121, 3, -5, 4 in descending order.\nAnswer: 121, 4, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 49249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 1 - 1 + 2 - 3 + 0 + (0 + 0 - 1)*(1 - 2 - 1) - 1 + 0 + 2 - 5 + 4 + 3)*(0 + 2 + 4*j - 3*j)*(62 - 43 - 133) to the form b + u*j and give u.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/17722 and 91\/6.\nAnswer: 53166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -33*y**2 - 10*y + 10. Calculate f(1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/23)*r*r\/r**(1\/15)*r)**(2\/3))**(16\/5) assuming r is positive.\nAnswer: r**(31904\/5175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = k + 8, 0 = -64*k + 66*k + 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8.8 * 15352\nAnswer: 135097.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1997c + 5?\nAnswer: 19984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5738 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 9:30 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -z + 15. Suppose 6 = 3*n - z. Solve -c = -5*h - 5, -3*h - 3*c + 8*c = n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 5*r = -5310, 0 = 8*z - 10*z - 3*r + 3541. Calculate the highest common divisor of 25 and z.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -49*u - 193. What is the smallest common multiple of g(-17) and 50?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-88722)\/(-65826))\/(2\/(-46)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50596*r + 46*r**2 + 50608*r - 6*r**2.\nAnswer: 40*r**2 + 12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -176*v**5 + 799*v - 259*v**5 - 136*v wrt v.\nAnswer: -8700*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 133 and 77?\nAnswer: 1463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -11*q**5\/30 - q**3\/6 - 83*q**2 - 2. Let s(b) = -10*b**2. Determine h(s(j)).\nAnswer: -2200*j**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g - 120 = -29 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**3 - 75*m**2 + 1440*m + 21760.\nAnswer: -5*(m - 17)*(m + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of -b**6\/360 + b**5\/60 + b**4\/6 - b. Let i(k) be the third derivative of c(k). What is the first derivative of i(n) wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 17*l**2 + 15*l - 9. What are the prime factors of r(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -500*q = -499*q + 5*b + 39, 0 = -6*q - b - 89 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 2*s**2 + 3*s - 1. Suppose -5*l + 4 = 19. What is t(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2299\/76*(-4)\/(-1). Suppose 0 = 2*r - 4, -2*r + r + b = v. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39552615 to the nearest 1000000.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 - 16*k**2 + 9*k + 50. Suppose -8*p = 3*p - 121. Does 17 divide r(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2*k = -56, 2*k = -2*u - 3 + 59. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32753?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = b - 45. Solve -5*x + 6*n = 2*n + 45, -5*n + b = 2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 2:39 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 4\/7*t**5 - 20\/7*t**4 + 8\/7*t + 36\/7*t**3 - 4*t**2.\nAnswer: 4*t*(t - 2)*(t - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**4\/3 + 1486*g**3\/3 - 13617*g**2 = 0 for g.\nAnswer: -1513, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*x - 1. Let c = x + -2. Let k = -14\/97 - -100\/2037. Which is smaller: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1153 - -1235. What is the remainder when 314 is divided by x?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21, -72, -157, -276, -429, -616?\n\"Answer: -17*o**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 10*h - 17. Let l be d(7). Let z be (l - 2 - 4)*(-45)\/6. Solve -4*g + m + z = 0, -g - m + 2*m = -6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1134619, 1135128, 1135637, 1136146?\nAnswer: 1136655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of 0*m + 1\/7*m**2 + 2 - 10\/21*m**3 + 2\/7*m**4. What is c in d(c) = 0?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1726 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 2*j + 0*j)*(-j**2 + 2 - 2) + 2*j**3 + 2*j**3 - 5*j**3 + (3*j + 0*j + 0*j)*(9*j - 4*j + 5*j)*(2*j - 55*j - 37*j).\nAnswer: -2703*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -15. What are the prime factors of 69 + l\/((-10)\/(-4))?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 + 31. What is the nearest to 2 in -0.11, r, -4?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 2*h - 3608 - 11829, 4*l = 4*h + 20596. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6204\/198*3150\/1645?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1\/12*18)\/((-20)\/((-16240)\/42))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008940498 to 7 decimal places.\nAnswer: -0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 7*s - 2*s = -6, 4 = 2*s. Let x(l) = 2*l**3 + 4*l**2 - l - 1. Let u be x(3). Suppose -4*a + 52 = w*i, 5*a - u = 2*i - 0*i. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -a**3\/3 + 3*a - 1. Let p = -16 + 18. Let d(g) = g**2 - 2. Let o(j) = p*y(j) + 3*d(j). Let n(m) = 2*m. What is n(o(b))?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25 - 58118*s - 11 - 94917*s - 4 + 40 + (1 - 3 + 0)*(-2 + 2 - s).\nAnswer: -153033*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/2 - 2580194*o + 3328700538818.\nAnswer: (o - 2580194)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -483*w**2 + 479*w**2 + 11*w - 11*w.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 30 + 22 + 125*c.\nAnswer: 125*c - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45*a**5 + 4*a**4 - 327189*a**3 - 1161602*a**2 - a - 14 wrt a.\nAnswer: 2700*a**2 + 96*a - 1963134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 4*i + 64 = 0. Calculate the remainder when 22 is divided by (-30)\/3*i\/(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of 3\/2*j**2 - 2 + 0*j. Let s(h) = -4*h**2. Give s(d(z)).\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-36))\/((-1)\/(-4))*-3\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, f: 1, k: 1, t: 6, g: 3, z: 3}. What is prob of picking 1 z, 1 x, 1 f, and 1 g?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 958092.5 litres?\nAnswer: 958092500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = -63*a + 404 + 986 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000670387 to 6 dps.\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 7*s**2 - 22*s + 11. Calculate q(7).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**3*w**3*y**2 - 3*u**3*y**3 - 36*u**2*w*y + w**3*y + 2*w*y**3 wrt u?\nAnswer: 12*w**3*y**2 - 18*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3328416712?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 169*y + 161*y - 328*y + 14 - 22. Determine m(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 264519102 to the power of 1\/4, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 6:00 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**2 - 31*b**3 + 12 + 12*b + b**3 - 9*b**4 - 22*b**2 = 0 for b.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1355433 is divided by 338855.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4137136 by 31.\nAnswer: 133456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5299 + 1 + 2169\/241?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 69\/2 of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 143178 and 2435?\nAnswer: 715890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 less than 62898779246?\nAnswer: 62898779258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k*l**4 - 22*k*l - 11*k + 7*l**4 + 10*l**3 + l - 1 wrt l?\nAnswer: 12*k*l**2 + 84*l**2 + 60*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 175214908 to the nearest one hundred thousand.\nAnswer: 175200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5975226*j*r**2 + 2*j*r + 364133*j - 3*r**2 - r wrt r?\nAnswer: -11950452*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -288061 (base 14) in base 6?\nAnswer: -50040405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 635554 is divided by 1811.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 329767 and 731.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 15, l - 28 = -5*u - 3*l. Suppose 0 = u*v - 8 - 64. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134106664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 4:22 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 z when three letters picked without replacement from yijzzqu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-292)\/(-72) + -4)*4.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655 is divided by 652?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = -3*s + 11166, 28*s + 6 = 25*s. Calculate the highest common factor of 784 and b.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -0.0111468\nAnswer: -2.9888532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -280*c**4 + 2*c - 2*c**2 + 291*c**4 - 3*c + 1 to the form m*c + f*c**4 + n*c**3 + p*c**2 + t and give f.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 - -12113?\nAnswer: 12054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of i**2 - i - 1. Suppose -3*w = b + 2*b, 4*w + 30 = 2*b. Calculate l(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234*m + 241*m - 3829 = 0. Is m a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 122*d + 2. Let a(g) = -63*g - 1. Let z(m) = 4*a(m) + 2*y(m). Let j(s) = -103*s. Calculate z(j(n)).\nAnswer: 824*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 3*b - 1. Let s(c) = 4*c**2 - 4*c + 5. Let z = 432 + -433. Let t(o) = z*s(o) + 3*q(o). Calculate t(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.23 - 8.23. Let s = 0 - -6. Let g = c + s. What is the nearest to -3 in -2\/9, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*a - 8 = 167*a. Let i(j) = -3*j**2 - 17*j + 10. Let b be i(-6). Calculate the highest common factor of a and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*f - 142*f - 3132 = 0. Calculate the remainder when f is divided by 70.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*((-1 + 1 - h)*(-4 - 1 + 6) + (0 + 0 + h)*(0 - 5 + 3) + 4*h + 3*h - 3*h)*(-49*h + 23*h**2 + 49*h).\nAnswer: -23*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10892 and 16?\nAnswer: 43568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 550 and 35.\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215661 is divided by 100645?\nAnswer: 14371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2741\/100 + 109\/4. Which is the biggest value? (a) 0.1 (b) 0.3 (c) -2\/11 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24\/11, -5, 0.9, -4\/7, 2\/5875 in decreasing order.\nAnswer: 0.9, 2\/5875, -4\/7, -24\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, -0.09, 6\/17, 0, 1\/2978?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 + 0*j**2 - 4*j**2. Let l(d) = 17 + 4*d**2 - 17. Determine f(l(g)).\nAnswer: -32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 3*g**2\/2 - g - 3. Let z be (-765)\/(-40) - ((-6)\/(-48) + 0). What is the units digit of c(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4243 + 21303?\nAnswer: 12010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 196103877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3598\/17 - 28053\/136. What is the second smallest value in 1\/4, 4\/3, l, -2\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 216\/45*(-70)\/(-28).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -7*f**5 - 72*f**4 - 125*f**3 + 40*f**2 + 132*f + 32 = 0.\nAnswer: -8, -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-1))\/((-3)\/3). Suppose -m - b + 10 = p, -5*b = -4*m - 2*b + 12. Let l be 6\/9 + (-4)\/m. Is l > -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + 232. Is 41 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**4\/12 - v**3\/6 + 19*v**2\/2 - 38*v + 2. Give z(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 10. Suppose -20*l + 16 = -19*l. Let a(y) = y**3 - 15*y**2 - 16*y + 13. What is the remainder when a(l) is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85 and 32759.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 682572*0.1\nAnswer: 68257.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rmdmrms. Give prob of sequence rsdm.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 309308463 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bbbyby?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(66)*2 + -5*1*sqrt(66))\/(-1*(sqrt(6) - sqrt(486)) - sqrt(30)\/(3*sqrt(5))).\nAnswer: 3*sqrt(11)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 3) in base 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - -2.52635.\nAnswer: 2.22635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2048 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3197 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of 1\/3*x**3 + 1\/24*x**4 + 0 + 2*x**2 - 22*x. Calculate m(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 691, 1183, 1693, 2221, 2767, 3331, 3913?\nAnswer: 4513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 10:13 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52884418.\nAnswer: 2, 26442209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*u + 15 = 0, 5*u - 2 = -2*f + 23. Suppose 3*t + 2*t = f. Which is the biggest value? (a) t (b) 1 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 934?\nAnswer: -5\/934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 418 - 410. Let x(k) = -2*k**2 + 14*k - 7. Calculate x(t).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 4*a + 5)*(-2*a + a**3 + 2*a) + 3*a**4 - a + a + 2*a**2 - 2*a**2 - 4*a**4 to g*a + c*a**2 + p + w*a**4 + v*a**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 + -23 - (-18 - 0)) + -22.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1777200 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 18*y**2 + 17*y - 22. Let w = 22\/25 - -681\/50. Find the common denominator of w and s(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1540977*3.\nAnswer: -4622931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (48 + -3 + 1)\/2. Let b be -2*(-2 - j\/(-12)). Let d = 26 + -26. Which is bigger: b or d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 = 0, 3*s = 5*y + 32 + 12. Let p be 8\/y*6\/(-24). Which is the closest to p? (a) -0.5 (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 546 and 477624966?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -1245*m + 14539. Calculate r(11).\nAnswer: 844","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10033649 rounded to three dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 3*f**2 - 2 + 7 - 5*f + 2*f**3. Suppose 2*w = 3*t + 20, 24 = 9*w - 6*w - 3*t. Give z(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 11:45 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**3 + 105 - 704 - 342 in the form b + r*f**2 + v*f + i*f**3 and give b.\nAnswer: -941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p = 8*p. Suppose 10*v - 134 - 56 = p. Solve 2*f = -2*n + 3*f - 13, -5*n - v = 2*f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-5) + 18 + -18. Which is smaller: 2\/11 or y?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3334 * -0.9\nAnswer: -3000.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4 - -460114.\nAnswer: 460115.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9499, 15762, 22023, 28282, 34539, 40794, 47047?\nAnswer: 53298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0.13421\nAnswer: -1.13421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 552 = 5*u - 2218, n = -3*u + 1668. Suppose -4*z + 121 = -2*h - 321, -4*h = -5*z + u. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43.58 - -42. Let z = n + 1.08. Which is the nearest to 0? (a) 0.09 (b) 4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w - 3. Let k(f) = -f**2 - 737*f - 9. Let y(o) = 12*d(o) - 4*k(o). Solve y(z) = 0.\nAnswer: -725, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -65600?\nAnswer: 65605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1796475\/7 or -256638?\nAnswer: -1796475\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-82 - 0)\/(5\/(-15)). Let a be (30\/45)\/(4\/h). Let c = a + -18. What is the greatest common divisor of 161 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101111001010110 - 110?\nAnswer: 1101111001010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 5077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -35? (a) -81 (b) 3 (c) -3 (d) -0.054 (e) 2\/7 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27027555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 568*k**3*n**2 - 2*k**3*u**2 + 121*k**2*n**2*u**2 + 9*k**2*n*u**2 - 11*n + 5*u wrt n.\nAnswer: 1136*k**3 + 242*k**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q + 0*q - 2*q)*(-2*q**2 + 4*q**2 - q**2) - 3*q**2 - 2*q**2 - q**3 + 3*q**3 to the form z*q + x + l*q**2 + k*q**3 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*v - 3*v + 0)*(-4 + 3 - 3 + 0 + 4 - 3 + (1 + 2 - 1)*(1 + 0 + 1) - 3 + 3 + 1 + 3 - 5 + 4).\nAnswer: -24*v - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g - 5. Let f = -494 - -504. Calculate the least common multiple of w(-9) and f.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126746563?\nAnswer: 113, 1121651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r**2 - 7 - r**2 + 9)*(-2*r + 12 - 12) to the form t*r**2 + s + w*r**3 + h*r and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 6:55 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1363, -8320, -27195, -63946, -124531, -214908, -341035?\n\"Answer: -993*x**3 - x**2 - 3*x - 366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149*t + 261*t + 174*t.\nAnswer: 584*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 - -1 - 9228\/(-2140). Let j = q - 12\/107. Suppose 4*t - 18 = 3*o, 3*o + 8 - 2 = 0. What is the nearest to -2\/15 in -1, j, t?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 352.8 + -28.8. Let g = z + -375. What is the second biggest value in g, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 122*c**2 + 1677*c + 1672*c - 3349*c. Let v(z) = -33*z**2. Determine v(h(u)).\nAnswer: -491172*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*y + 200 + 44, y = -4*x + 194. Suppose -z + 2 = -4*u - 7, 5*u + x = -4*z. Let c(l) = l**2 + 6*l + 10. What is the tens digit of c(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 c, and 1 t when four letters picked without replacement from rxtfxxixciciic.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = 2*c. Suppose c = 8*z - 1928 - 4952. What is the hundreds digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.2, -1\/25, 0.\nAnswer: -0.5, -0.2, -1\/25, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 12*x**2 + 2*x - 1. Let q be c(6). Let t = -116 + q. List the prime factors of t.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -5. Let m = v + 10. Calculate the least common multiple of m and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/77 and -23\/266.\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9459.116 grams?\nAnswer: 9459116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(45\/234*39)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 11, r: 9}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 66, 128, 190, 252, 314, 376?\n\"Answer: 62*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -99, -123, -145, -165, -183, -199, -213?\n\"Answer: q**2 - 27*q - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-5 + sqrt(30)\/sqrt(6))**2*3.\nAnswer: -30*sqrt(5) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g + 0*g + g)*(0*g - 4*g + 3*g) - 207*g**2 + 98*g**2 + 98*g**2 + (3*g + 0*g - 4*g)*(3*g + 0*g - g) to the form k*g + i + u*g**2 and give u.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 8*s**3 - 18*s**2 - 34*s + 201. Determine q(8).\nAnswer: 2873","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 468736 is divided by 152729?\nAnswer: 10549","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 7 + 4 + 6. Let c(j) = j**3 + 5*j**2 + j + 7. Let k be c(-5). Suppose -2*f - k*f = -16. Give v(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + sqrt(252) + 3 + sqrt(252) + 1)**2.\nAnswer: 168*sqrt(7) + 1057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*(x**0*x)\/x)**(-15)*x*(x*x**(-4\/9))\/x*x**(-1\/4))\/((x*x\/(x**(2\/17)*x))\/(x**(-5)\/x))**(8\/5) assuming x is positive.\nAnswer: x**(-124561\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -10*a - 6. Let q be 3\/9 + (-1 - 26\/6). Determine s(q).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59.5 + 60. Let i = -0.073 + -3.927. What is the second smallest value in i, -2, k, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 5:34 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1 - 8 - (-1384 + 88)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 11*z**2 - 2. Let k be a(2). Let q(s) = 4 - 4 - k*s**2 + 46*s**2. Let u(n) = 5*n. Give q(u(b)).\nAnswer: 100*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/1683 and 62\/15?\nAnswer: 8415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 8 = -u + 4*w, -4*w + 4 = -u. Suppose 5*y + u = 2*y. Is (-9)\/y*(-8)\/(-3) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*j - t, -5 = 4*j + 7*t - 47. Solve 49 = -5*k - 3*x + 55, -2*k + j = -5*x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/6 + 3*k**2\/2 + 2*k\/3 - 2.\nAnswer: -(k - 3)*(k - 1)*(k + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7556262 and 1500558?\nAnswer: 3392761638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -1185\/7 + 1\/7*y**2 + 232\/7*y = 0.\nAnswer: -237, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 291\/8 (b) -4 (c) 4 (d) -1\/5 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 1. Suppose -23 = -3*u - 5*w, -4*u - r*w = 4 - 38. What are the prime factors of u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1575184 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.95 + -0.05. Let j = h + 6. Which is the nearest to -0.2? (a) j (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 75*s**2 - 275*s - 24. What is the least common multiple of 20 and w(70)?\nAnswer: 52260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 divided by 4\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*c + 17 = -8, 0 = 4*c - 16. Let o be 15\/y + 2\/6. Let d be -1 + 1 - o - -5. Solve -d*v - 3 = 9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -565 = -h + 621. Suppose 2*t - 788 = -2*d + 6*d, 3*t - h = 4*d. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205929833 to the power of 1\/2, to the nearest integer?\nAnswer: 14350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -251\/5 - -50. Let r = -27.24 - -0.24. Let q = 27.5 + r. Which is the closest to -0.1? (a) i (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v = -94 + 270. Solve -4*h + 2 = -2*a - 2, v = -4*a + 2*h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3048 + 3048. Sort 161, 4, i in descending order.\nAnswer: 161, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 138 - 586. What is the units digit of (3 + 3)*h\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 3*t - 2, -3*h + 0*t - t = -4. Suppose -3 = -q - 4*j, -5*q + h*j + 15 = j. Solve q*o + 7 + 8 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 5*p + 294220 = 61947, -2*p + 14 = 0. List the prime factors of a.\nAnswer: 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25445 - -25449. Suppose -5*v - s + 26 = 0, -6*s = 4*v - 2*s - 24. Solve -2*n - 10 = -k*n + 4*m, 0 = -v*n + 4*m + 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 3:05 AM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 10*y + 6919991 = -4*l, 8649991 = -5*l + 3*y. Round l to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25421?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 3*s - a, -74 = -5*s + 2*s - 2*a. Suppose 104 + s = 3*f. Calculate the remainder when f is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 2}. Give prob of picking 2 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 75371378 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63123*x**3 - 7*x**2 + 18*x + 126 wrt x?\nAnswer: -378738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 2\/15, 1\/331 in ascending order.\nAnswer: 1\/331, 2\/15, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -18783 rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from plpp. What is prob of sequence pp?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*q + 34 = -30. What is the third derivative of -148*t**2 + 121*t**q + 0*t + 5*t**4 + 3*t - 12*t**3 wrt t?\nAnswer: 120*t - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u**2 - 8*u + 5. Let x be r(-4). Suppose 0 = -3*o - x*y + 10355, -3*y - 17281 = -5*o - 0*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 + 67. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 54 (b) -2 (c) 31.8 (d) 0.1 (e) 0.3 (f) -5 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 220511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8983913 or -8983915?\nAnswer: -8983915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = 10*a + 3282. Let d = a + 423. Round d to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - -11) + (0 - 0). Let z be (-2)\/(-6)*(-2 + d). Suppose -84 = -z*q - 2*p, 2*p - 20 = -2*p. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z + 4*z - 115 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-10) + (-494)\/390. Let y = -4.8 - -0.8. Which is the nearest to w? (a) 0.8 (b) y (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(2\/2)\/(8\/88). Let t(j) = -j**3 - 10*j**2 + 16*j + 25. Let h be t(g). Let p be (-745)\/h - 3\/(2*-9). Solve -5*w = -p, 0 = 3*k + 2*k - 3*w for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*(y\/(y*y**(22\/7)*y))\/y))**13\/(y**(-1\/3))**(-3\/10))**(-39) assuming y is positive.\nAnswer: y**(-182247\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 + 12*u**2 - 11*u + 4. Let g be t(11). Let y(d) = -g + 8*d - 3*d - 5*d**2 + d**3 + 1 + 0. Let s be y(4). Is 2\/5 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 0.2, -3, -0.01, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*o + 7*o - 5*o - 11*o as k + m*o and give m.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 22*i + 19*i = -270, -4*i = -5*c + 1312. Calculate the smallest common multiple of c and 48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 - 17060*r**3 + 28482480*r**2 - 13452765040*r + 2045652536720.\nAnswer: -5*(r - 442)**3*(r + 4738)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14168374 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) - (sqrt(30)*-1 - sqrt(30)))\/sqrt(10) - (-3 + sqrt(3) + sqrt(12)\/sqrt(4))**2.\nAnswer: -21 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 30 = 6*x - 3*x, -35 = -5*p - 2*x. Suppose -12 - p = -u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -6*g + 64. Is -8*((-51)\/g - -6)*33 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - 6*o + 2*o)*(-6229 + 7762 + 7320 + 9190 - 854) to the form u*o + c and give u.\nAnswer: -34378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1025?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 16*q + 19. Let v be x(-17). Let y = v - -53. Is y a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 3*y. Let f be 0 + -4 + 3\/3. Let j be c(f). Suppose j = 5*r - 5*u - 7125, 2*u = 2*r - 3*u - 2856. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2502688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 25289553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 3*w + 194 = -40*v - 0*w - 0*w, -3*w = -8*v - 49 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0772133 and 0.145.\nAnswer: 0.0111959285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -942 + 944. Factor -2\/5 + 8\/5*k + 4\/5*k**3 - 2*k**q.\nAnswer: 2*(k - 1)**2*(2*k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 0.3 (c) 8 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11 - 2 - 0) + 47. Solve d*o = 37 + 133 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2\/12767 - 676639\/76602. Let j = -11 - -14. Find the common denominator of ((-272)\/(-360))\/(j\/5) and i.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*b**6*i + 1229456*b**3*i**3 + 72*b**2*i**3 + 39593*b**2*i + 3*b*i**3 wrt b.\nAnswer: 1800*b**3*i + 7376736*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**4\/4 + 8*z + 4. What is the derivative of k(f) wrt f?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 36*p**3 - 147*p**2 + 156*p - 12 = 0.\nAnswer: 1\/12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16111*w**4 + w**2 - 561*w + 2?\nAnswer: -386664*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34035, 317, 2, 1.\nAnswer: -34035, 1, 2, 317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 323.5 + -324. What is the second smallest value in h, 7, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12bc - 8998?\nAnswer: -9c87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1116 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 994196116?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -16*d**2 + d + 2. Let p(l) = -58*l**2 + 5*l + 9. Let b(y) = -2*p(y) + 9*t(y). Let r(v) = v**2. Calculate r(b(i)).\nAnswer: 784*i**4 + 56*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26318 + -26300. What is the remainder when 12491 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**2 + w + 2. Let b(j) = -2*j**2 - j - 2. Suppose -5*p = 3*f - 16 + 2, -2*p - f = -6. Determine p*h(d) + 5*b(d).\nAnswer: -2*d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 10:34 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 47a8a?\nAnswer: 47a8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61\/6 - -244\/15. Find the common denominator of c and -4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -261 + 72. Suppose 5*v - 1518 = 212. Let f = l + v. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of a**7\/2520 + a**6\/60 - a**5\/20 + a**4\/8 + 8*a**2. Let w(u) be the second derivative of n(u). Determine w(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*((sqrt(11) + sqrt(11) + 2)*-6 - (sqrt(132)*1 - sqrt(132))\/sqrt(12)).\nAnswer: -60*sqrt(11) - 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1856 smaller than 2209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 1:57 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 292875 and -2435870.\nAnswer: -2142995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.342 - 2.658. Sort -17\/13, l, 2, -0.3 in ascending order.\nAnswer: l, -17\/13, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.4047 times -33?\nAnswer: 1597.3551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*5*64\/(-3600).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 - -72. Suppose 8*p = 11*p - m*p. Solve -2*a + p*a - 10 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/9 + (-122)\/18. Let d be (4 + -74)\/(-5) + -3. Let n = b + d. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.243 rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5322, 21184, 47616, 84612, 132166, 190272?\n\"Answer: -a**3 + 5291*a**2 - 4*a + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 3*z + 13, -5*z + 10*z = -5*k + 45 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30113 + 10013?\nAnswer: 100132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/22)\/(1686\/(-213279)) + 161.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (86\/(-5))\/(8\/(-80)). Let x = l - 247. Let c = x - -178. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0421 - 0.0579. Sort -0.4, l, -1 in descending order.\nAnswer: l, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/6 + (-1)\/(-3). Let j be -2 - (-4 - 126\/(-2 + 1)). Let r = j + 129. Solve -3*i - 5 - 17 = p*a, -4*i = -r*a - 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -520005*r + 35. Let g be z(7). Round g to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3226 (b) -3\/7 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -11*w**2 + 935*w - 5. What is f(85)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -3281.\nAnswer: 5\/3281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -69446585.44 - 1028\nAnswer: -69447613.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-6) - (-22)\/(-4). Let b(x) = x**3 - 5*x + 9*x**2 - 12 + 2*x**2 - 4*x**2. List the prime factors of b(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1289 - -6835. Suppose 0 = -19*n + w + 135. What are the prime factors of n?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*u - 7, 3*h - 3*u = 4*h. Suppose 6*z = -y + h*z + 6, 5*z = 5*y - 10. Sort -1, y, 18.\nAnswer: -1, y, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 367220 * 4\nAnswer: 1468880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 1292*t - 6 + 14 - t**2 in the form o + q*t + y*t**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j**2 + 7\/3*j**4 + 0 - j**5 + 0*j - 4\/3*j**3.\nAnswer: -j**3*(j - 1)*(3*j - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19.92 - 19. Let t = c + 0.08. Sort 3\/2, t, 3\/5.\nAnswer: 3\/5, t, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -4 - 833*h**2 + 5400*h**3 - 1263*h**2 + 352*h + 3375*h**4 - 424*h**2 - 12 = 0?\nAnswer: -2, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 555792*a**2*n - 614017*a*n wrt a.\nAnswer: 1111584*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567)*2*-6)\/(2*sqrt(9)*-2))\/((sqrt(567)*4)\/(-5*sqrt(7)*2)).\nAnswer: -5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 143118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20b6 - -b?\nAnswer: 20c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2 + 457*w + 1051. Let n be f(-150). Let x = -2.2 + -0.8. What is the closest to n in 0, -1\/5, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324 a factor of 2217700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 3*i - 4*i)*((2*i + i - 6*i)*(-34 + 44 - 48) + (3 - 2*i - 3)*(-2 - 3 + 7)).\nAnswer: 220*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 168926 < 168896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -6*b**2 - b + 1. Let o(z) = z**3 - 5*z**2 - 6*z + 2. Let j be o(6). Suppose -2 = -6*w + 8*w. Let u = j + w. Calculate q(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8069 is divided by 4014.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21345492 times 4?\nAnswer: 85381968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -42562000 rounded to the nearest 100000?\nAnswer: -42600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5749124?\nAnswer: 2, 719, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 3:07 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (114\/19)\/(6\/4). Solve 0 = -4*i + j*i + 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 7:08 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((30\/4)\/(12\/(-8)))\/((-1)\/(-3))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p = 8. Let v(i) = i**2 - 7*i + 3. Suppose l = -5*t - 9, 0*l + t = 5*l - 33. Let c be v(l). Is p <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54*l**3 + 3*l**2 - 60*l**3 + 0*l**2 wrt l?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 498863 + 22*w - 999275 + 500414.\nAnswer: 22*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 - 1680*g - 8541. What is j(-5)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264999 and 357?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14178785 divided by -6\nAnswer: 14178785\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 2 - 2)*(0*o - 3*o + 5*o) + 1823*o + 1645*o - 2950*o)*(-3 + 1 + 0) - 2*o + 25 - 25 + (4*o + 0*o - 2*o)*(2 - 3 + 0) as z*o + b and give z.\nAnswer: -1032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b**3 - 4*b**2 + 6*b + 4. Let y be p(3). Suppose 2*m + y = 7*m. Let t(n) = -n + m - n - 8. Let j(f) = 3*f**2. What is j(t(g))?\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -214891 from -0.3.\nAnswer: 214890.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3552762mg in grams?\nAnswer: 0.0003552762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/4 (b) -654 (c) -2\/11 (d) 0.5 (e) -2\/217 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 46141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(3 + 2*c - 3)*(2 - 2 + 3)*(1 + 1 - 3) - 3 + 3 + 3*c - 59*c + 25*c + 19*c.\nAnswer: -30*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -418 + 947. Let h = 529.1 - j. What is the nearest to -0.1 in 5, h, 32?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, r: 7}. What is prob of sequence ccc?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(119)\/sqrt(7) + 3 - ((sqrt(85)*-1)\/sqrt(5) - 1*(0 + sqrt(17))).\nAnswer: 3 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**4 + 3*n**4 - 2*n**4 + 3*n**4 + n - n + (1 + 0 + 0)*(-2*n**4 - 2*n**4 + 6*n**4) - 1 + 1 + 2*n**4.\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 236, -5, -0.1, 6.092, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -5. Let h be (99\/22 + -7)\/((-5)\/4). Suppose 0 = -i*s - 4*t + 244, 7*s - h*s - 4*t = 287. What are the prime factors of s?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a**3 + 14*a**2 + 4*a + 88. Calculate c(12).\nAnswer: -1304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8917, -8893, -8845, -8761, -8629, -8437?\nAnswer: -8173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q + 702 = -18*q - 9*q for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rur when three letters picked without replacement from nrnunrnnunuu?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 8*d**2 - 15*d + 9. Calculate f(-10).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-4 - (-1 - -14))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 830.\nAnswer: 4150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4125 - 3836. Calculate the highest common divisor of i and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -143461 + 203330. Suppose -g - 103071 = -20*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 53958.81 and -0.3?\nAnswer: -16187.643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 - c. Let v be z(1). Suppose t - 57 = -v*t. Calculate the remainder when (-240)\/400 + 468\/5 is divided by t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 6*q**2 - 5*q - 9. Let v be n(6). Let o be 2\/8 + (-45)\/36. Find the common denominator of 120\/192*(v - o) and 103\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -7. Suppose -2*s + 2 = -3*k, -5*s - 2*k - a + 30 = 0. Solve -9 = 3*n - 2*o, -8 = 3*n + n - s*o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27.01634 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17884 - -18208. What is the greatest common factor of 2187 and a?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 + p**2 - p**2)*(-3 + 3 + 3*p) - p**3 + 3 - 3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3949*u**2 + 35*u**2 + 473*u**2.\nAnswer: -3441*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34931509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1053)*-2 + 4.\nAnswer: -18*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 121080 and 61200.\nAnswer: 61750800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 4. What is u(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/26981 and 37\/323772.\nAnswer: 323772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4378767.\nAnswer: 3, 1459589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**1)\/s*s)**(3\/7)*s*s\/(s*s*s**(-3\/5)*s)*s*s**7*(s**(1\/2)*s)**16*(s\/(s**(-1\/4)\/s*s))**(8\/7) assuming s is positive.\nAnswer: s**(1156\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 18\/5 of a millisecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*q + 1828 - 6618 = 6650. Is q < 208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p = -20*p + 8. Solve 5*o + p = -8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from stkkkksskz. Give prob of sequence zss.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.4, -0.1, 5, -397?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -45, -8, -1, -3, 0, 5 in descending order.\nAnswer: 5, 0, -1, -3, -8, -23, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 848821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -142*w**2 - 853*w - 6. Let m be a(-6). Factor 4\/9*h**4 - 4*h + 20\/3*h**2 + m - 28\/9*h**3.\nAnswer: 4*h*(h - 3)**2*(h - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**4 - a**3 + a - 1. Let x(c) = -3*c**4 - 9*c**3 + 6*c**2 + 8*c - 12. Let k(y) = -20*h(y) + 5*x(y). Determine d so that k(d) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 8 = 8. Let c = 6 + k. Is 18 a factor of 0 + -2 + c + 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1920170 is divided by 36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 35 = -15. Let i be -4 + -1 + (144\/28 - 0). Which is the second biggest value? (a) 0.3 (b) i (c) 0.5 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -15*d + 5. Let v be j(-6). Let o = v - 12. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqzq. What is prob of sequence qq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5758 and -38114.\nAnswer: -219460412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 600*b - 1406 - 1362 = 6232 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10220 - -31021110?\nAnswer: 31031330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) - (2 + sqrt(612) + 1) - sqrt(612) - (1 + sqrt(612) + -1))**2 + 1 + -2 + 1 + sqrt(612).\nAnswer: 78*sqrt(17) + 2457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((40\/6)\/5 - 2877\/(-1575)) + 0 + -3\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 5479 = 4*c - 5529, 33*h + 1380 = -3*c for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/43 (b) 2 (c) 4 (d) -1\/6 (e) 6.9 (f) 17 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of 389*w**5\/60 + w**4\/12 + 4*w**3\/3 + 8*w**2. Let o be j(-12). Round o to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 1. Suppose 3*h = 3*q + 9, 5*h - q - 15 = q. Suppose 1 = -5*l + 3*n - h, -2*n + 6 = 0. Let g be o(l). Is -2 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 30, -1789 in descending order.\nAnswer: 30, 4, -1789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1588 - -13.9905\nAnswer: -1574.0095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-2 + -911) - 2. Let d = h - 536. Let c be (d + -4)*(-2500)\/(-3). Round c to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 139*u**3 + 13*u + 2.\nAnswer: 834*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(0 - -3)*-16. Let c = n + 19. Factor 2\/3*x**4 - 2\/3*x**2 + 0*x**c + 0 + 0*x.\nAnswer: 2*x**2*(x - 1)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 13 + 1. Solve 4 + j = -4*c, -4*u - c = -16 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-14)\/(-6) + 12\/18. Let h be 10 - (1 + -2 + 2). Suppose -b = -3*q - h, 4*b = -0*q + 3*q + 9. Solve b = -m*z - 0*z + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-25))\/((-5)\/75*9)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4695*z + 18666 + 22899 = -1746*z - 20364 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475430 + 388819 = 5*q + 256514. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3700 (b) -5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.03 * -72595.\nAnswer: -582937.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**2 + 70*l + 5. Give q(35).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -x - x. Let l(f) = -147*f - 139. Let i be l(-1). Calculate the greatest common factor of i and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 149945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 20 = 2*j. Suppose -2*p + 6 = -2. Calculate the least common multiple of j and (-10)\/((-2 + 0)\/p).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*(s*s**(5\/9)*s)\/s*s)\/(s**(-3)\/s) assuming s is positive.\nAnswer: s**(77\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -12. Let p(w) = w**2 + w + 1. Let x(z) = -3*z**2 + z - 11. Let y(m) = 6*p(m) + x(m). Is y(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-2)*(-32)\/(-40)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r**2 + r**2 + r**2)*(6 + 13 - 9) - r**2 + 2*r**2 + 0*r**2 in the form d + k*r**2 + m*r and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -387*r + 1 + 326*r + 567*r**2 + 61*r + 7*r**3 to s*r**3 + l*r**2 + c*r + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 22*u + 28. Let f(a) = -a**3 + 75*a**2 + 81*a - 375. Let h be f(76). What is w(h)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g + 2*g**3 - 12 + 1 - 127*g**2 - 2 - 3*g**3 + 2*g**4 + 124*g**2 in the form t*g**2 + m*g**3 + d*g + s + q*g**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 123 = 3*d, 2*d = 2*q + 3*q + 57. What is d rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1895 - 10*n**3 + 3780 - 1885 + 3*n**3.\nAnswer: -7*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -4. Let c = -3931 - -3933. What is the nearest to 1.2 in 4, l, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-nine halves of a century?\nAnswer: 47400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m + 7. Calculate z(9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0.00583, 75.\nAnswer: 0.00583, 13, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 190425940 to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(16\/7)*i**25)\/(i**(1\/3))**(7\/12) assuming i is positive.\nAnswer: i**(6827\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -7822, -7823, -7824, -7825?\n\"Answer: -p - 7821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10842 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -2, 2, 12 in ascending order.\nAnswer: -46, -2, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/2 - 987176\/(-16). What is w rounded to the nearest one thousand?\nAnswer: 62000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98860580 to the power of 1\/2, to the nearest integer?\nAnswer: 9943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.043 (b) 2\/3 (c) -15 (d) -8\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45 or -701433\/7?\nAnswer: -701433\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 44*n + 1. Let y(b) = -8*b**2 + 14*b - 42. Let m(o) = -7*o**2 + 12*o - 36. Let f(r) = -7*m(r) + 6*y(r). What is w(f(s))?\nAnswer: 44*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c + 1. Let x be a(2). What are the prime factors of 180\/8 - x\/6?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53.3 - -4.\nAnswer: -49.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 32684 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: Find the common denominator of -31\/246265 and -45\/643.\nAnswer: 158348395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 5*x = -15, 5*o = -150*x + 145*x for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5530800 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence va when two letters picked without replacement from {v: 1, i: 7, a: 4, f: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, -3, -22, 0.5, -8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 440\nAnswer: -1\/440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -530, -524, -518, -512, -506?\n\"Answer: 6*k - 536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r - 2. Let z(s) = 5*s + 2. Let t(d) = -4*f(d) - 3*z(d). Give t(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1612, 12831, 43250, 102469, 200088, 345707?\n\"Answer: 1600*d**3 + 19*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(3) + 2 + 4.\nAnswer: 3*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 128 - 127. Let n = 0 + 5. Solve n*c - 1 = 4*f, z + 1 = -c + 3*f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 144.22383.\nAnswer: 144.42383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -64065*c**3 + 72546 wrt c?\nAnswer: -192195*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(36)\/(sqrt(2)*-2) + sqrt(198)\/(sqrt(11)*1))\/((sqrt(66) + -3*sqrt(66)*1)\/sqrt(11)))*3.\nAnswer: -15 - 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Work out -691 * 1.\nAnswer: -691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -9*l**3 + 7*l**2 - 9*l - 7. Suppose -2*f - 4*x + 14 = 36, 5*x = -10. Let a(c) = -5*c**3 + 3*c**2 - 4*c - 3. Give f*a(m) + 3*v(m).\nAnswer: 8*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003491314735 to six decimal places.\nAnswer: -0.000349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1575, 1576, 1577?\nAnswer: 1578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3316 - 1829. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.7*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42.9 + 53. Let f = l + -10.6. Suppose 0 = 8*j - 3*j. Sort j, -3, f in decreasing order.\nAnswer: j, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 458 + -453. Solve -b*d - 3 = q, 2*d + d = 2*q + 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**3\/3 + 514*a**2\/3 + 7497*a + 48840 = 0. Calculate a.\nAnswer: -33, -8, 555","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -40.9958. What is y rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**3 - 51*y**2 + 109*y - 53. Let s(h) = 11*h**3 + 102*h**2 - 217*h + 104. Let k(g) = 5*d(g) + 2*s(g). Let k(o) = 0. What is o?\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 10) + -9 + 42\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-161903)\/189*-3. Let b = l + 2562. What is the common denominator of b and 68\/39?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-42)\/(-25))\/(-1))\/((-21380)\/(-53450)).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11858998*z - 296 + 296.\nAnswer: 11858998*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14656797 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3819 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*i = 0. Let p(w) = 6 + i - 5 - 2 - 7*w. Let o(f) = f. Determine -4*o(g) - p(g).\nAnswer: 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 2*k - 17 = 0, 3*a - 2*k = 532 - 521 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (7 - -11 - 17)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 3*b + 0*b + (-2*b + 0 + 0)*(-2 + 3 - 2))*(15*b - 15*b - 17*b**2).\nAnswer: -17*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/((-891)\/(-36)))\/((-8)\/(-30)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 305 or 306?\nAnswer: 306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*c = 41*c - 518. Let a(i) = -28*i - 354. What is the units digit of a(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 10*m**2. Suppose 3*y = 4*i + 10, 5*y = 3*y + 4. Let p be k(i). What is the first derivative of p + o - 18*o**3 - o wrt o?\nAnswer: -54*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12*6\/45 + 3\/(-5). Let h(c) = -6*c - 6. Let a(k) = 3*k + k - 3*k + 1. What is m*h(t) + 5*a(t)?\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35205781?\nAnswer: 13, 139, 19483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81 + -30. Suppose -2*c - 7 = -h. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3589414090?\nAnswer: 2, 5, 358941409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 7*y + 173 = 0, -28 - 7 = -x + 18281*y - 18280*y for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j**3 + 8*j**2 + 3*j - 270. What are the prime factors of h(13)?\nAnswer: 2, 6053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 9:14 PM?\nAnswer: 4:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6325)\/400 - 4*102\/2176.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 1733898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/12 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, w: 5, g: 8}. Give prob of picking 1 g, 1 w, and 1 s.\nAnswer: 25\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11057 - -11077. Solve -4*k = 2*x + 12, 5*k - u*x + 2 = -16*x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 30 = -4*w - 24, -2*d - w - 4 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -9*b + 3 + 80*b - 2. Let p be o(1). Suppose -p = -2*u + 5*x, 4*u - 6*x + x = 124. Calculate the remainder when u is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/2 + 1 - 2066\/(-4). Suppose -j = -2*h - 4*g, 5*g - 10*g = -5*h + 1250. Calculate the highest common divisor of h and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*d, -4*c - d = -3*d + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -6721.6 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 19629*l**2 - 1 + 2*l**3 - 19614*l**2 + l + 0*l**3 as m*l + t*l**3 + w*l**2 + q and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15372476 divided by 428.\nAnswer: -35917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -11202*n - 122067. Determine u(-11).\nAnswer: 1155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of t**3\/3 - 7*t**2\/2 + 6*t + 96. Give k(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 + -29. Calculate the highest common divisor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7b + -11b5?\nAnswer: -1136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z - 3*z - z)*(-1 - 2 + 2)*(-2*z + 6*z - 3*z)*(2*z**3 + 5*z**3 - 6*z**3 + (0 - 1 - 2)*(10*z**3 + z**3 - 6*z**3)).\nAnswer: 14*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + -4022?\nAnswer: -4004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - 8*g + 1. Determine r(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - (15 + (-16 - -5) - -5).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/1899000 and -13\/66.\nAnswer: 20889000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 130*t**2 + t. Let k be w(1). Let q = k + -130. Which is the closest to -2? (a) 3 (b) -0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124f (base 16) in base 12?\nAnswer: 3477b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 345 and 460?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -7*v + 2. Solve v*d = 3*d - 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2\/3 (b) 0.6 (c) 0 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 108*d**4*g*h - 3*d**4 + d*g*h - g*h - 30*g - 7*h wrt d.\nAnswer: 432*d**3*g*h - 12*d**3 + g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**6\/6 + 21*l**5 - 415*l**4\/12 + l - 327. Solve v(r) = 0 for r.\nAnswer: 0, 1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/6)\/((-4)\/(-13256)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-341)\/(-44) - 10)\/(1\/(-4)). Suppose u*j + 1610 = 7001. List the prime factors of j.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 - 22122*r**2 - 117544416*r + 53618469248.\nAnswer: -(r - 422)*(r + 11272)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 3)*(-3*a - 3*a + 4*a) + a - a + a - 5*a - 2*a + 6*a - 5 in the form r + t*a and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 - 10890*i**2 - 21771*i - 10884.\nAnswer: -3*(i + 1)**2*(i + 3628)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 73*n**3 + 9*n**2 + 9*n - 43. Let g(q) = -18*q**3 - 2*q**2 - 2*q + 11. Let j(m) = -9*g(m) - 2*z(m). Differentiate j(s) with respect to s.\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -728.\nAnswer: -1\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21056 by 112.\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -144*(10\/4 - 6)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 - 1\/(-2)*0. Let r(l) = l + 11. Let u(o) = -2*o - 23. Let h(q) = -13*r(q) - 6*u(q). What is the units digit of h(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3. Let j(t) = t - 2. Let h be j(3). Let p(k) = -4*k**3 + 1. Let i be 8\/(-20)*(-15)\/(-3). Determine h*p(o) + i*a(o).\nAnswer: -2*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 40? (a) -1.1 (b) -10 (c) 2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 29547573*j*k*y**2 + 478118*j - 33*y**2 wrt k.\nAnswer: 29547573*j*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.297 + 0.464. Let i = k - -0.017. What is i rounded to 2 dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 8:09 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 717742265?\nAnswer: 5, 143548453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1513.4 + -1513. What is the closest to 0 in -0.06, g, -3, 4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4880, -9762, -14644, -19526?\nAnswer: -24408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-75)\/30*2 + (-3)\/(-3)*579742 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31766637 a multiple of 831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000273795 to seven decimal places.\nAnswer: 0.0000274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*y**2 - 98 + 3*y + 19*y**3 - 29*y**3 - y + 5*y**2 wrt y.\nAnswer: -60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65855952 is divided by 8231980.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -84 - 21*m**2 - 6*m**4 - m**3 - 82 + 166 wrt m?\nAnswer: -144*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 513 and 428234418?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73807 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/10*-57*-5. Suppose 1901*b = 1904*b - a. What is the biggest value in 8, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4*sqrt(7) + 1)**2 + 1 + 3.\nAnswer: 8*sqrt(7) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 20 + 44. Suppose -2*n + 7*n - 4*v = 720, 0 = 2*n - 2*v - 288. Calculate the highest common factor of n and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.626963717 to four dps.\nAnswer: -0.627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21621166?\nAnswer: 2, 7, 467, 3307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**6\/60 - 5*p**4\/8 - 3*p**3 + 5. Let b(d) be the third derivative of r(d). Find the first derivative of b(c) wrt c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*q + 2*q - 7*q)*(q**3 - q**3 - 2*q**4 + (0*q**2 + 5*q**2 - 3*q**2)*(-3*q**2 - 3*q**2 + 5*q**2)) - 13*q**5 + q**3 - q**3.\nAnswer: -209*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 371*a**4 - 4*a**3 + 4*a**3 - 395*a**4 + 7 with respect to a.\nAnswer: -96*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*y - 0*y - 34, -2*r + 8 = 0. Let n be (-4)\/y - 794\/(-14). Suppose 5*b = -2*w + 59, -4*b = -4*w + 103 + n. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -6?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30 - -27) + 2490*22. What is z rounded to the nearest 100?\nAnswer: 54800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k**4 + 55*k**3 - 135993*k wrt k.\nAnswer: -12*k**2 + 330*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 5*j - 16 = -7*r, -r + j = 0. Solve 3*y + y - r = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 12:46 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 8:46 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35053 - -53639. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 77\/19970?\nAnswer: 77\/19970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -84 + 82. Suppose -3*x - 4*o = -34, -3*o - 21 + 24 = 0. Which is the closest to d? (a) 2\/13 (b) -3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -193060031\/970 - -199031. Find the common denominator of a and 8\/13.\nAnswer: 12610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**2*s**2*t - 2*k**2*s*t - 2*k**2*s + 23*k**2*t - 109*k*s**2*t + 2*s wrt s?\nAnswer: -2*k**2*t - 218*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5377103, -10754183, -16131263, -21508343?\n\"Answer: -5377080*q - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -238, -805, -1372, -1939, -2506?\n\"Answer: -567*b + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**3 + 2*g**3 - 5*g**3 + (3*g - 2*g + g)*(-g**2 - 2*g**2 + 4*g**2) + 2*g**3 + 1 - 1 as n*g**3 + h*g + p*g**2 + i and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28691165 to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 4*g + 18 = 0, -3*s - 2*g - 14 = 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**2*l)\/l)\/l**0*l**10\/(l**(-1\/5)*l) assuming l is positive.\nAnswer: l**(66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 2*a**4\/3 - 1120*a**3\/3 + 160124*a**2\/3 - 310240*a + 460374 = 0.\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**5\/100 - n**4\/60 + n**3\/30 + n**2\/10 - 11*n. Factor z(j).\nAnswer: -(j - 1)*(j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-130))\/(664\/(-10)). Let y = 41540\/3237 + x. What is the common denominator of y and -25\/22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25128 is divided by 355.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -24111, 1, 5 in decreasing order.\nAnswer: 5, 1, -1, -24111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -795 + 1282. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7332\/18355 + 2\/3671. Sort -2, b, 12, -0.2 in increasing order.\nAnswer: -2, -0.2, b, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -211*k**6 - 14954*k**4 + 15362263*k**2.\nAnswer: -25320*k**3 - 358896*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**3\/2 + 4119*j**2 - 375774*j + 8618468 = 0. Calculate j.\nAnswer: 46, 8146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that c**5\/4 + 5*c**4\/4 + 2*c**3 + c**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 164, 185?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2152377?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*d**2*x**2 + 94*d**2 + 47*d*x**2 - 1130*x**2 + 15*x with respect to d.\nAnswer: 6*d*x**2 + 188*d + 47*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 35 = 5*n + 5*u, 4*u = n + 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 4:17 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*f + w, -5*f + 4*w - 93 + 55 = 0. Let p(b) = 3*b**3 + 18*b**2 - 3*b. Let a be p(f). Put a, 3, -4 in decreasing order.\nAnswer: a, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (44\/110)\/(2\/30). Let b be 2\/4*a*-1 + 5. Solve -d + 2 = -b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 - 2)*(3*y + 52*y**2 + 41*y**2 - 2*y) + 3*y**2 - y**2 + 3*y**2 as s*y + x + l*y**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-588) + (-57840)\/(-1658160)?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4544 and 12224.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 3)\/2*-5*30\/120\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of p**3 + 38*p**2 - p*r + 4*p - 343*r + 5 wrt p.\nAnswer: 3*p**2 + 76*p - r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 13 = -4*h, 0 = -3*p - p - 4*h + 4. Let o(r) = -38*r + 14*r + 7*r**2 + 16*r + 20*r. Calculate the remainder when o(p) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 10 = -2*k + 4*k, -2*m + 5*k - 25 = 0. Let o(h) be the first derivative of m*h - 2 - 1\/2*h**2. Let l(z) = -2*z + 1. Calculate -2*l(j) + 5*o(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddsdddrrsdsrsd. Give prob of sequence rr.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -g + 4*g. Let i = g - 9. Let o(p) = 2*p**2 - 7*p + 6. Is 21 a factor of o(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 6. What is the tens digit of 26\/(1 - k - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + sqrt(125)) + 5)**2 - (1*(sqrt(125) + 0))**2*6.\nAnswer: -240*sqrt(5) + 439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*i**3 + 43 - 43)*(-i**2 + 2*i**2 + 2*i**2)*(3 + 1 - 2).\nAnswer: -48*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -3ad8?\nAnswer: -3ad4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.2 + -2. Let s = 0.8 + -0.2. Let x = -1 + s. What is the second smallest value in x, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-4))\/((-315)\/(-180)). Which is the third smallest value? (a) -0.5 (b) -10 (c) m (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**4\/8 - 5*u**2. Let q = 1 - -18. Let r(c) = 3*c**2 - q + 19. What is r(b(v))?\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 551874643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.0113803 milligrams?\nAnswer: 0.0000000000113803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13880292143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 5:33 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 12) + 50 + 0 + -9 + 5 + 12.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*s**3 - 493451035*s**2 + 140986007*s - 10070429.\nAnswer: (s - 10070429)*(7*s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -80 + 0*f + 2\/3*f**3 + 0*f**2. Let s(l) = 3*l**2 + 1. Determine s(z(c)).\nAnswer: 12*c**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12a654a8 + 3?\nAnswer: 12a65500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 > -23526\/335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**5 + 27*b**4 + 60*b**3 - 60*b**2 - 288*b - 192 = 0. Calculate b.\nAnswer: -4, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -176?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qwwlqkc. What is prob of sequence wqcw?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67736?\nAnswer: 2, 8467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4132, -16529, -37188, -66109?\nAnswer: -103292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = 4*a. Solve 0 = -s - a + 2, -4*r = -5*s - 7 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1148628, 4594562, 10337788, 18378306, 28716116, 41351218, 56283612?\nAnswer: 73513298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119050758.\nAnswer: 2, 3, 6613931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 391421931*l**3*p - 5*l**3 + 251857*l**2 + 2*l + 16 wrt p?\nAnswer: 391421931*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**3 + 11663*f**2 - 6*f**3 - 23313*f**2 - 8*f**3 - 2*f**3 + 11650*f**2.\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4557\/4 + 50197\/44. Calculate the common denominator of a and -21\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9072876*o**5 - 8*o - 324785?\nAnswer: -181457520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*h = 75, -4*k + 4*h + 114 = h. What is the common denominator of k\/18*14\/78 and 83\/22?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**2 + 6*t**3 + 4*t**2 - 3*t**2 - t**3 + 1 to the form g + u*t**2 + z*t**3 + p*t and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 6*w - w - 115, -2*y = -5*w + 122. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*d - 2*g, 4*d + 28*g - 29*g + 20 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25602079?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*28\/(-2) + 7. Put 2, -2, o in ascending order.\nAnswer: -2, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.13 times -0.022\nAnswer: 0.00286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 9*n**2 + 11*n - 1. Let q be (0 + 10\/6)*(-14 + 8). What is l(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15202 - 15187 = -673*n - 2796 for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -137928*b**2*l + b**2 + 66*b*l + 10*l wrt b.\nAnswer: -275856*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 7943661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 8 - 8 - 2*p**2. Let o(y) = 3*y. What is j(o(k))?\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (15*16\/2640)\/((12\/(-3))\/4)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2\/6 + 788*w\/3 + 6942 = 0. Calculate w.\nAnswer: -26, 1602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -159*f + 697. Give k(6).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 87\/9 - 11 - (-4)\/(-6). Sort 61, y, 1 in descending order.\nAnswer: 61, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w**5 - 4*w**4*z**2 - 20*w**3 - 7*w**2*z**2 - 22*w*z**2 wrt w?\nAnswer: 60*w**2 - 96*w*z**2 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 z when four letters picked without replacement from kzzzkkz?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 111803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65)\/(-10) - 6)*(-3)\/(-2)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23666 is divided by 548.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 divided by 83?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**3 + 32*h**2 - 18*h**2 - 14*h**2 + 2*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -97 + 157. Let v = -63 + z. Which is the closest to v? (a) -2\/23 (b) 2\/21 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.209 + 0.035. Let b = 0.11 + y. What is b rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 8. Let a be h(-6). Suppose 0 = -2*n + 5*n. Which is smaller: a or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -705000*((-7)\/(-6))\/((-11)\/748). What is m rounded to the nearest 1000000?\nAnswer: 56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5911 and 514?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*r + 10 = 0. Let v(y) = 1 + 5*y**r - 3 + 2. Let x(z) = z**2. Calculate v(x(b)).\nAnswer: 5*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 - 47.7. Which is the third smallest value? (a) -1 (b) f (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 2*d + 14, 2*d = -g + 6*d + 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 + 9*k - 4. Let o(n) = n**2 - 5*n + 2. Determine 11*o(x) + 6*t(x).\nAnswer: -x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -135410 (base 9) to base 4\nAnswer: -110030112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 10*l**2 - 2*l - 15. Let m be u(-10). Suppose -5*d = -h - 12, -m*d + 18 + 2 = 0. Suppose 2*y + h = 46. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2. Let z be 12\/(-84) + (-27)\/7. Let u be (10\/(-4))\/(2\/z*-1). What are the prime factors of y(u)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k. Suppose -5*b + 3*v - 11 = -0*v, -b = 5*v - 9. Let a be m(b). Put -3, a, 2 in descending order.\nAnswer: 2, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - q + (-2 + 3 + 5 - q)*(0 - 2 + 3)*(-3 + 5 - 1).\nAnswer: -2*q + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -1. Let p = 288 + -288. Solve -2*t + 3*t - w = p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*s = -140. Let l = 50 - s. Find the common denominator of 2\/l + (1 - 1) and -17\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + m**2 + m - 2. Let c be g(0). Let a be 9120\/(-39) + c\/13. List the prime factors of 6\/4*a\/(-27).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -25685 and -0.37?\nAnswer: 25684.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-12\/11)*p\/(p**(-2\/29)*p))**35)**(3\/2) assuming p is positive.\nAnswer: p**(-17115\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2195*x + 112251 + 74324 = 0 for x.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 909 or 908?\nAnswer: 908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63553234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119)*2 - sqrt(119))*6 + -2*sqrt(119)*-1)\/(-6*(-3*sqrt(7)*-1 + sqrt(7))).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - -16. Let o be ((-3)\/((-1725)\/10))\/(2\/p). Let v be 4*(-3)\/(-36)*-3. Is o smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 5*j**2 + 2. What is t(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/((-1)\/(136\/(-170))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3 (b) 0.1 (c) -102 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3031, -3001, -2971, -2941, -2911, -2881?\nAnswer: -2851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, k: 1, u: 2, z: 1, x: 4}. What is prob of picking 4 x?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-23)*s**26*(s*s**(-3\/8)*s)**(-1\/20) assuming s is positive.\nAnswer: s**(467\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23*r**2 - 58*r + 13225?\nAnswer: 46*r - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3745391444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.32 - -0.18. Which is the nearest to 0.2? (a) 1 (b) u (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -37.017. Let o = w + -44.983. Let q = o + 45.7. What is q rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 60, 65, 68, 69, 68, 65?\n\"Answer: -o**2 + 8*o + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 639446?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -196589.4995 to the nearest one hundred.\nAnswer: -196600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -81 + 4?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -49025 + 0.3183\nAnswer: -49024.6817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, c: 1, x: 1, d: 1, z: 7, a: 2}. Give prob of sequence ad.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 176341 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3844173?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7660343 is divided by 107.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -179, -297, -491, -767, -1131, -1589, -2147, -2811?\n\"Answer: -b**3 - 32*b**2 - 15*b - 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54325 is divided by 13495?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 13) to base 10.\nAnswer: -184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 535d - 0?\nAnswer: 535d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j**2 - 516703*j - 147630 = 0. Calculate j.\nAnswer: -2\/7, 73815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 3:07 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 16621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 44?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -260*a**2 + 59*a + 120. Give l(-2).\nAnswer: -1038","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2*(-16)\/(-2). Let t(i) be the third derivative of i**6\/120 + i**5\/15 + 5*i**4\/24 - i**3\/6 + 4*i**2 + 214*i. Calculate t(l).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*n = -23*n + 938. Let i(u) = u**3 - 13*u**2 - 9*u - 11. What is i(n)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**7*g)*g*g)\/g**(-3\/2))\/(g**6*g**6)*(g**(-1)\/g*g*g**2\/g)**(-31) assuming g is positive.\nAnswer: g**(-31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 11:49 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b - -12d?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -320 + 1?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 3*g + 6*g)*(-54*g + 54*g - 9*g**3) - g**2 - g**4 + g**2 + 6*g**3 - 5*g**4 - 6*g**3.\nAnswer: -24*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -323.6?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 + 152*y**3 - 4*y**2 - 68*y**3.\nAnswer: 84*y**3 - 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**2 + 49*x - 907. Determine g(13).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 168\/60*(-1 + -4). Let j be (16\/f)\/((-8)\/28). Let i(b) = -b**3 + 3*b**2 + 3*b + 4. Let q be i(4). Solve q = j*a - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 97477 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/466 and 11\/92.\nAnswer: 21436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than -1.3471208?\nAnswer: -1.6471208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5351510?\nAnswer: 2, 5, 535151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2713 (base 9) to base 7\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.49 in -18, -0.1, 1157?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23286\/3881*(-5)\/9.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 11:44 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 1. Let o = -49 - -50. Let n(h) = h. Determine o*q(k) + 4*n(k).\nAnswer: 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-11) + (63 + -61 - 12 - (-328)\/33)?\nAnswer: -8\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -9*q. Let d(y) = y**2. Calculate l(d(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - 8a9?\nAnswer: -8a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 586065 times 0.1?\nAnswer: 58606.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -43121427 divided by 43121427?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10595521\/360 + -29432. Let t(c) be the third derivative of 1\/18*c**3 + 0*c - 24*c**2 + 1\/60*c**5 + 1\/24*c**4 + r*c**6 + 0. Factor t(i).\nAnswer: (i + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6946 - 1.964. Let n = 0.1611 + x. What is n rounded to two decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 3, t: 8}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 13*b**7\/2520 - b**5\/120 - 13*b**4\/12 + 2*b. Let r(f) be the third derivative of a(f). What is the tens digit of r(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*o**2 - 6*o**2 + 9*o**4 + o**4 + 5*o**4 wrt o?\nAnswer: 360*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 129 - 393 = -s, -4*q = 0. Suppose 10*x - s = -12*x. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -14. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25133 by -1.\nAnswer: 25133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.6 - 10.4. Let n = -9 - b. What is the smallest value in n, -2\/7, -1\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18\/13 in 0.5, 0, -2, 62?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1672, 487 in decreasing order.\nAnswer: 487, -3, -1672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8417.00027002 - -8417. What is y rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16.6 - -18. Let c = 1.4000005 - o. Round c to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.73*1.75.\nAnswer: -3.0275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 60198675 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*b + 85*b + 22*b + 82*b + 45*b.\nAnswer: 215*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((3132\/16)\/9)\/((-3)\/12). Let f = 97 + d. What is the second derivative of -9*b - 4*b**3 + f*b**3 + 11*b wrt b?\nAnswer: 36*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 17*a**2 + a + 16. Let y be x(-17). What is the smallest value in 2\/21, -5, y?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2562015.\nAnswer: 3, 5, 170801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 943946 is divided by 1337?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -156*t + 8503712 - 2210516. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-16))**(-15\/2)\/(a**(2\/27)*a)**43)**(-7) assuming a is positive.\nAnswer: a**(-13951\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/9 + 20\/9. Suppose 5*m = -y + 22. Let l(g) = g**3 - 4*g**2 + 5*g. Is 20 a factor of l(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 - 33. Suppose j + j = d. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.013844 from -3391.\nAnswer: -3391.013844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 198 - 817. Let m = a + 622. Solve 2*z - m*b = -8*b - 1, 5 = -z + 2*b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/14670 and -13\/8802.\nAnswer: 44010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 3*l + 4*l)*(2*l**2 - l**2 + 0*l**2) + (-3*l**2 - 6*l**2 - 4*l**2)*(-28*l - 33*l + 36*l).\nAnswer: 323*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18 and -2.3789.\nAnswer: -42.8202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 24)\/(0 + (-5)\/5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (1 + -8)) + 10 + 4 + -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.5, -5, 4\/9, -1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7461 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*v**2 - 62*v**3 - 1 - 6*v**3 - 17*v**3 - 5*v**2 wrt v.\nAnswer: -510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 815 take away 115.3?\nAnswer: 699.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 7:02 PM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + 0*y + y + 0*y + y - 3*y + (-5 + 3 + 0)*(-5*y + 3*y + 4*y))*(-11*y - 2*y - 4*y) to v*y**2 + b + p*y and give v.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -21932636, 2\/11, -0.18?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -346*s**4 - 2*s**3 - 2*s**2 - 2*s + 304. Let j(d) = 1383*d**4 + 9*d**3 + 9*d**2 + 9*d - 1215. Let n(z) = -2*j(z) - 9*r(z). Differentiate n(h) wrt h.\nAnswer: 1392*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 8*k. Let h(w) be the third derivative of -w**4\/8 - 34*w**2. What is x(h(b))?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2466293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*k + 963*k + 2080*k.\nAnswer: 2927*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3290 and 4935.\nAnswer: 9870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/8)\/(38\/12). Let n = p + 51\/38. Let h be 11\/(-12) - 1\/(-4). Which is the closest to h? (a) n (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18178 is divided by 57?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5058?\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1404 (base 7) in base 11?\nAnswer: -454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 5*r - 20. Let b(q) = -q**2 - 7*q - 18. Suppose 23*c - 16*c + 35 = 0. Let g(h) = c*b(h) + 4*s(h). Give g(-13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -125, 220, 795, 1600?\nAnswer: 2635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92 and 938.\nAnswer: 43148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w - 28*w = -293313. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 12*l - 84. Let r be i(-17). Is -1\/148 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10.38041, 2, 13 in decreasing order.\nAnswer: 13, 2, -10.38041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*g**2 + 2*g**3 + 5 - 5 + 115*g**2.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 - k**2 + 3*k**2)*(7*k + 13*k + 3 - 16*k).\nAnswer: -4*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t + 4*t + 3 - 2)*(-1 - t + 1) + (-1 - t + 1)*(4*t - t - 5*t) - 7*t**2 + 2*t**2 + t**2 + (-t + t - 2*t)*(476*t - 675*t + 421*t).\nAnswer: -444*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -921156 - -1791156. What is n rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, -11.1581, 5, 2\/3, -0.2.\nAnswer: -11.1581, -4\/7, -0.2, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2\/15 (b) -7\/3 (c) -2.7 (d) 1 (e) -2 (f) -59 (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18579401?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*7\/(-6)*-3. Let x(g) = -18*g - 1475 + 718 + 702. What is the remainder when x(o) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 220, -1, 1, 4, -101, -5 in decreasing order.\nAnswer: 220, 4, 1, -1, -5, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8 - -1. Let o = s + -0.19. Let w = 6.7 - 7.1. Which is the nearest to -2\/5? (a) w (b) 0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -13. Let o = l + 7. Sort o, 0, -0.3 in decreasing order.\nAnswer: o, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -45377015*q**5 + 189*q**2 - 86908?\nAnswer: -2722620900*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 12833, 12818, 12803, 12788?\n\"Answer: -15*b + 12848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/329344 and -11\/10126.\nAnswer: 20089984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2248021.\nAnswer: 2248021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -56486511\nAnswer: -5\/56486511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 5. Suppose 4*x - 2 = i - 3, -2*i = x - 2. Suppose d*l + b - 3200003 = x, -5*b - 703024 = -2*l + 896961. What is l rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/(-14) + (-170538)\/(-301)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, m: 3, u: 2}. Give prob of picking 1 l and 1 u.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 216132 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31555782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 22 = 5*j - 7*j, 3*a + 3*j - 12 = 0. Suppose 4*x + 52 = a*w, 3*x - 4*x + w = 12. Let k = x - -12. Calculate the remainder when k is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 82e9 + -8e7?\nAnswer: 7902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**3 - 321*b + 159*b + 162*b.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002789763517 rounded to six decimal places?\nAnswer: 0.000279","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5db - -472c?\nAnswer: 4d18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*h - 36, 22*i = 21*i - 3*h + 6. Let c(q) = -2*q + 21. What is c(i)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - x - 2)*(x + 2*x**3 - x) - 2*x**4 - 2*x**4 + x**4 + 2*x**4 + x**4 - x**4.\nAnswer: -3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -12. Let t(w) = 3*w - 4*w + p + 0*w + 2. Determine t(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/sqrt(2))\/sqrt(11) - (sqrt(3) + 2)*1) + sqrt(36)\/(2*sqrt(1452) - sqrt(12)).\nAnswer: -2 + sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 107.744 + 0.256. Let p = c - 107.99999923. What is p rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -30, -61, -120, -213, -346, -525, -756, -1045?\n\"Answer: -j**3 - 8*j**2 - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17016 * -1.\nAnswer: 0.17016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 + 2*l - 7. Let z be 0 - (-134)\/(-26) - 8\/(-52). Let u be f(z). Differentiate -41*s**2 - 15*s + 32*s - 17*s - u wrt s.\nAnswer: -82*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3826 + 5813. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 2*q = 8, 4*z - 20 = -20*q + 25*q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22261, 22166, 22013, 21808, 21557, 21266, 20941?\nAnswer: 20588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2290772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 11. Let j(h) = 18*h - 10. Let c be j(w). What is the greatest common factor of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b06b2 + -5?\nAnswer: -b06b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 - -81. Let n be z\/40 - 2\/8. Let f be (-22)\/(-8) - 1\/(-4). What is the third biggest value in n, f, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/24)*x)\/x*((x\/x**(1\/4))\/x)\/x)\/((x**8\/x)\/x*x*x**3) assuming x is positive.\nAnswer: x**(-271\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**3 - 72*y**2 - 132*y + 173. Let i(l) = -l**3 - 36*l**2 - 66*l + 89. Let q(w) = 7*i(w) - 4*o(w). Calculate q(-34).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 h when four letters picked without replacement from hshlhuubssu.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 + 14. What is the remainder when t is divided by (-2)\/(-10) - (-418)\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-3))\/((q**9*q)\/q) assuming q is positive.\nAnswer: q**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1053 (base 13) to base 7.\nAnswer: -6414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from {n: 1, a: 2, e: 2, q: 1, r: 1, w: 7}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k**2 - 1. Let n(p) = -p**2. What is n(x(v))?\nAnswer: -25*v**4 - 10*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 302 - 161. Suppose 0 = g + 4*l - 283, l + 1025 = 4*g - i. Suppose 0 = -3*j + 3*m + g, 3*m = 5*j + m - 485. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4*-22 + 3. Let r be 4\/p + (-33)\/(-7). Suppose -2*x + 3*l = x - 12, -r*x - 4*l = -2. Is x at least 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/12 - (-55)\/(-15). Let n be -3 - p\/((-12)\/33). Let q(y) = y**3 + 15*y**2 + 13*y - 10. Let c be q(n). What is the closest to 0.1 in c, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5044654760?\nAnswer: 2, 5, 41, 47, 65447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 620 is divided by (-32)\/8 + -1 - -216?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 1.4, -0.2 in descending order.\nAnswer: 1.4, -0.2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -70 + 70.3. What is the second biggest value in -4, a, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -179 + 294. What is the remainder when l is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 4*z**2 + z + 1. Let k(j) = -4*j**4 - 35*j**3 - 845*j**2 + 6*j + 6. Let o(i) = -k(i) + 6*l(i). Find the third derivative of o(h) wrt h.\nAnswer: 96*h + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + -6. Let q(w) be the third derivative of -w**4\/24 + w**3\/2 - 6*w**2. What are the prime factors of q(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 115 = -128. Let o = 554 + p. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78032 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 8*h = -368. Suppose -6*s = h - 2378. What are the prime factors of s?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216576 and 74448.\nAnswer: 2382336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 2) + 9 - -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, 4, 6, -3 in decreasing order.\nAnswer: 91, 6, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 730950*p - 730948.\nAnswer: -2*(p + 1)*(p + 365474)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8 and 226297296?\nAnswer: 226297288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (850*(-104)\/(-46800))\/((-51)\/(-18))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -24. Let u(q) = q**2 - 2*q - 3. Let l be u(z). Which is smaller: -14\/5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 8*r**2 - 2*r + 38. Is 4 a factor of w(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 9 + 4 + j + 3*j**2 + j + 4*j. Let m be v(-6). Suppose -m = -2*d - s - 0*s, -3*s = 2*d - 75. Is 15 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194122844, 388245688, 582368532, 776491376?\nAnswer: 970614220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5908.779mg?\nAnswer: 0.000005908779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 8*q**2. Let j(i) = -774*i**3 + 10*i**2. Give j(d) + p(d).\nAnswer: -775*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5599875053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 3*d = 13, 2*r + d + 7 = -2*r + 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 380 - 380.00348. Round s to four decimal places.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -6*p**2 + 9*p + 9*p - 6*p. Let j(w) = 7*w**2 - 13*w - 1. Let n(y) = 5*j(y) + 6*m(y). Calculate n(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 10:36 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*g**2 + 11343745*g + 2835935.\nAnswer: 5*(g + 567187)*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 340 - 186. Calculate the greatest common factor of 44 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - -4 - (-92)\/(-32). Let c = g + -19\/24. What is the closest to c in -1, -3, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-10))\/(2464\/(-385) + 7)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/51 greater than 110.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 29 = -3*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*y + 67*y - 73630. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 19.1.\nAnswer: 5.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 542046.3 months to millennia.\nAnswer: 45.170525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 119*a**2 + 4*a - 8. Is v(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 294250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/364518 and 139\/2220246.\nAnswer: 24422706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5316224429?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/4, 4, -0.3, -30\/19, 0.3, -0.11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 129*h + 111*h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -137*d**3*l**3 - 6*d**3 - 10*d**2*l + 4*d*l**3 + l**3 + l**2 - l wrt l?\nAnswer: -822*d**3 + 24*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 201?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 5*a + 10, 5*a + 5*n - 8 = 27. Suppose -5*m = -4*m + a. What is the remainder when -1 - (m + 18)\/(-1) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -3339*h**2 + 28*h - 84. Let j(v) = -371*v**2 + 3*v - 9. What is -28*j(z) + 3*k(z)?\nAnswer: 371*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 317 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 194022 - -544027. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g. Let q(i) = 86*i + 4. Calculate p(q(c)).\nAnswer: -172*c - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14004.393 - 1493.123. Let h = p + -12511.0300102. Let q = 0.24 - h. Round q to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 7*l**2 + l - 7. Let b be s(7). Let d = -67\/30 + 12\/5. Is d not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - b + 0 + (-b - 2*b + b)*(5 + 2 - 5) - b + 2*b - 3*b - 2*b - 4*b - 2*b + (0 + b + 0)*(-2 + 3 + 0).\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*d**5 - 257232*d**4 + 1113100*d**3 + 6397120*d**2 + 8682944*d + 3656192 = 0 for d.\nAnswer: -4\/3, -1, 8, 7141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 904 divide 3130552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.188177t in micrograms?\nAnswer: 5188177000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.69 + 0.71. Let d = n - 1.4. Which is the smallest value? (a) d (b) 0.02 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -450 divided by -9.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 + (-35 - (10 + -11 + 2)). Put -0.3, w, 34, -0.2, 1\/4 in decreasing order.\nAnswer: 34, 1\/4, -0.2, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 208082 = 4*h, -2*w = 16*h - 21*h + 260119. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87041 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-14 + -6 - -14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q\/(q*q*q**(-4)*q))*q)**(-2\/5))**26)**(1\/10) assuming q is positive.\nAnswer: q**(-26\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 6:17 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 182 - 162. Let v(k) = k - 6. Let l be v(7). What is the third biggest value in 0.3, r, l, -1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -151, -249, -363, -493?\nAnswer: -639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (31 - 18)) + -4 + 0?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 3138 and 3141 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 21. Let t(k) = 38*k + 503. What is the remainder when x is divided by t(-13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 54 - 5248*n - 17.\nAnswer: -5248*n + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*q, -8790 = 3*y - 0*q - q. What is y rounded to the nearest 100?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzrzzzrzzzzzzr. Give prob of picking 2 r.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1047*b**2 + 103*b - 1055*b**2 - 567 - 205*b - 225*b - 1331 wrt b?\nAnswer: -16*b - 327","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40044 + -21?\nAnswer: 40023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 2*y = -20, 11*y = p + 16*y - 2 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.0421 to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*n - n. Calculate the remainder when (6 - -27) + -1*n is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -39*v**3 + 3*v**2 + 4*v + 4. Is 20 a factor of s(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r**2. Let h(w) = 2603*w + 174. Let o(u) = -171798*u - 11571. Let d(i) = -133*h(i) - 2*o(i). Determine d(b(g)).\nAnswer: 10412*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 29*x - 18. Let i be f(13). Let g = -157500 + 1415788\/9. Let z = g + i. Which is the smallest value? (a) 0.3 (b) 9\/5 (c) 4 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1201939 and 340.\nAnswer: 1202279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2, -2, 2, 10, 22?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 26, 40, 52, 62, 70?\n\"Answer: -w**2 + 17*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: What is the third smallest value in 2\/11, 0.4, -114?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((p*p**(-11))\/p)\/p)\/p*p)\/(p**0*p))\/(p*p\/p**12*(p\/(p*p**10))\/p))**(-27) assuming p is positive.\nAnswer: p**(-216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -4.9, 3, -20, -5?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 13*b**2 - b - 11. Let z be v(-13). Solve -3*j - 20 = z*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31232131112 (base 4) to base 7.\nAnswer: -42404165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/7))**(-30)*(t*t**(-1))\/t**(-2\/7) assuming t is positive.\nAnswer: t**(-148\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 v when two letters picked without replacement from veeqebeebve.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -31*-502.4\nAnswer: 15574.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 124 - 45. Let j = -32 + u. Let z = -24 + j. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -49628, -49059, -48466, -47843, -47184, -46483?\n\"Answer: j**3 + 6*j**2 + 544*j - 50179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 438, 846, 1258, 1680, 2118, 2578?\nAnswer: 3066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 20*m - 26*m. Does 46 divide 8\/(-40) + -1 + (-1102)\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/2)\/(4\/(-344)). Let x = -23 - a. Solve -2*c - 3*c + x = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25704.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13199453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9510 and 15540925?\nAnswer: 1585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pc when two letters picked without replacement from uccmlacpuucaaaacc.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n**2 + 3*n**2 - 3*n**2)*(1 + 3 - 2) + 2*n - 2*n - n**2 + (-240 + 73*n + 240)*(-2*n + 3 - 3) as j*n**2 + c*n + w and give j.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 15 + -2 + 2 + 281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*r + 72\/5*r**3 + 24\/5*r**4 + 0*r**2 + 0 + 2\/5*r**5.\nAnswer: 2*r**3*(r + 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-51)\/(-12) + (-1)\/4. Suppose 3*l + 17 = 5*r, -291*l + 9 = 2*r - 290*l. Suppose -p = r*h - 16. Solve h*q = 3*j - 18, 0 = -3*j + 2*j - 2*q - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 2*c**2 - 34 + 0*c - 2\/3*c**3 - c**4 + 2\/5*c**5. Suppose g(k) = 0. What is k?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {p: 6, o: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h**4 - 9621635*h - 24572250 wrt h.\nAnswer: 8*h**3 - 9621635","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3939 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**4 + 0*l**4 + 3*l**4 + (l**2 - l + l)*(10*l**2 - 2*l**2 - 3*l**2).\nAnswer: 11*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7678417?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-49043354)\/392 + (-2)\/8. Let u = c - -125112. Find the common denominator of (16\/(-56))\/((-704)\/(-9296)) and u.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1108.04 + 1133. Let i = 26 - l. Round i to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 2 - (6\/3 - 9). Suppose -d + 3*g - 5*g = -38, -5*d = f*g - 180. What is the greatest common divisor of d and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rtrreeeeturrttuet. Give prob of picking 2 r and 2 e.\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 4*n + 0*n)*((-2 + 1 + 2)*(-3 + 3 + 2*n) - 3*n + 2*n + 0*n + 0*n - n - n + 221 - 13*n - 221 + (0*n + 4*n - 2*n)*(-4 + 2 + 4)).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*f - 26 = -19*f - 5*y, 3*y = -4*f. Put 60, -1, -2, f, 5 in ascending order.\nAnswer: f, -2, -1, 5, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*c - 39*c = -207*c + 1896. Solve -2*p + 2*y = c + 4, -5*p - 23 = 2*y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -a?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -8\/2295?\nAnswer: -8\/2295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 13 - 3, 5*h - 11 = -3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 392 + 237. Suppose 0 = 4*m + 5*r - o, -m - r = -0*m - 156. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -138*h - 269. Determine n(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 4:04 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x - 2. Let d(a) = 2*a + 3. Let t(y) = -2*d(y) - 3*u(y). What are the prime factors of t(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -1, -62\/13, 5, -3?\nAnswer: -62\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-4)\/((-24)\/470))\/((-1)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + d + 24 = 0. Let z be d\/2*36\/8. Let k = 16 + -7. What is the highest common factor of z and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.8149973 rounded to two decimal places?\nAnswer: -24.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is eb06 - 4?\nAnswer: eb02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 23*d + 8 + 20*d.\nAnswer: -3*d - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 7, 1, 13, 39, 200 in increasing order.\nAnswer: -3, -2, 1, 7, 13, 39, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/2153550 and -64\/3948175.\nAnswer: 23689050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6) + (-4)\/12. Let a = o - -2. List the prime factors of (-13 - -1)*(-1)\/a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4133 times 1407\nAnswer: -5815131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x + 9. Let d be i(-5). Suppose d*y + 2*p = 38, -y + 0 = -p - 8. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -199, -722, -1583, -2794, -4367, -6314, -8647?\n\"Answer: -2*b**3 - 157*b**2 - 38*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*j - 3*j - 29*j)*(91 + j**3 - 91).\nAnswer: -54*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -219, -6, -5 in increasing order.\nAnswer: -219, -6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*u**3 + 198*u**3 - 578*u**3 + 185*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 24. Calculate the remainder when 31 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*l = 6, -5*r = -0*l - 5*l. Solve 11 = r*z + q, 2*q = -3*z + 3*q + 14 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 16*r**2 + 73*r - 150. Give w(-20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10955224 to the nearest integer?\nAnswer: 3310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 430 (base 5) to base 9.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 121091?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*t - 9. Let l be ((-182)\/(-455))\/((-1)\/85). Let a be (t + -3 + 2)\/((-6)\/l). Solve -w - 3*j = 2, -3*w + 3*j - a = j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-285)\/6 - (-4)\/8. Let y(g) = 2*g**2 - 14*g + 15. Let o be y(9). Let j = m + o. Solve 0*i = 5*i - j*p - 16, -2*p = -5*i + 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t - 18592 = 5842. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18.008623 + 0.008623. Suppose -3*d = -4*w + 84, 5*d + w - 71 = -211. Let x be (-4)\/14 + (-15)\/d. Do k and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -118927 divided by 233\nAnswer: -118927\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/852726 and -17\/243636.\nAnswer: 1705452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 6*v**2 + 15*v + 133. What is h(0)?\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244\/5*n + 7442\/5*n**2 + 2\/5 = 0. Calculate n.\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -175 (base 9) to base 13.\nAnswer: -b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a**2 + 23*a - 38. Give l(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/3 - (-1876)\/(-6). Let o(q) = -55*q - 4. Let v be o(4). Let l = v - s. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88 and 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**4\/2 - 2*s**3\/3 + 2*s + 3. Let u = -1 + 14. What is the remainder when m(3) is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 1501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3981 and -0.2422827032.\nAnswer: 0.1558172968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 0 = -5*l. Find the second derivative of -21*n**2 + 5*n - 1 + 29*n**l + 1 wrt n.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 603 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -519 - -534. Suppose -2*z + 5*z - 3*k = y, -4*z + 35 = -k. Let q(s) = s**3 - 9*s**2 - 9*s - 7. What is q(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796723 is divided by 8527.\nAnswer: 3712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20263 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uohuohukouoeh. What is prob of picking 1 k, 1 h, and 1 u?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {l: 1, w: 2, a: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 2433405*r**2 + 1910259*r**2 - 1352589*r**2 - 3220390*r**2.\nAnswer: -5096125*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/9 + 32*x\/9 - 56\/9.\nAnswer: -2*(x - 14)*(x - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-336*w - 24*w - 9*w)*((-8 - 20 + 1)*(-w + 0*w + 0*w) + 2*w - 2*w - 2*w + w - 1 + 1) as p*w**2 + u*w + q and give p.\nAnswer: -9594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*(sqrt(60) - sqrt(240)\/sqrt(4)) - sqrt(60)) + sqrt(60) - sqrt(60))*2)\/(-3*sqrt(108)*6).\nAnswer: sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192 and 47136.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5744112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) -22\/9 (b) 3\/2 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -167*f + 4190. Give d(25).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -1. Find the third derivative of -2*f**3 - f**6 + y*f**2 + f**3 + f**3 wrt f.\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1131936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -441856068 divided by 2.\nAnswer: -220928034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 62*n**2 - 19*n - 1184. Determine c(-62).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1325.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(88) - sqrt(88) - sqrt(88) - sqrt(88))\/(sqrt(1331)*1 + sqrt(1331) + sqrt(1331)).\nAnswer: -8*sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12158?\nAnswer: 2, 6079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 b, and 1 w when three letters picked without replacement from awraabawabkktabaww.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -64*b**4 + 416*b**3 - 996*b**2 + 1040*b - 400 = 0.\nAnswer: 5\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 926.593 years in months?\nAnswer: 11119.116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 2*m = 1210. Let b = m + -403. Which is bigger: b or -160?\nAnswer: -160","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -215*c**2. Let z(g) = 2370*g**2 - 1319*g**2 - 1053*g**2. Determine z(n(w)).\nAnswer: -92450*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 162 - 778. Let n = p + 704. What is the greatest common divisor of n and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*u + 111 + 109 - 80 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 2. Let u(c) = -c**3 + 3*c**2 + 4*c - 1. Let g(k) = 2*k**3 - 4*k**2 - 5*k + 2. Let z(v) = 2*g(v) + 3*u(v). Let j be z(y). Which is greater: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110200 + 211?\nAnswer: 111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4105*f - 57454. Calculate i(14).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - y + 5 = 0, 196*y - 1 = 3*m + 191*y for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.543, -1\/2, 2, 2\/19 in descending order.\nAnswer: 2, 2\/19, -1\/2, -0.543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 1:34 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {a: 6, f: 12}?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 3*v**7\/7 - 4*v**3\/3 - 1. What is the third derivative of t(r) wrt r?\nAnswer: 360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3503676 divided by -3\nAnswer: -1167892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 3*c**2 - 7*c - 13. Let g be z(-5). Let b = g + -72. Is (13263*4\/(-6))\/(-2 + b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7335 + 7465 = 15*p - 41*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107\/214*48\/(-3828).\nAnswer: -2\/319","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**4 + 258*u**3 - 6365*u**2 - 48*u + 7192.\nAnswer: -12*u**2 + 1548*u - 12730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39445 or 41295?\nAnswer: 39445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 3) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0557*4.\nAnswer: -0.2228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 18 - 6. Let o be (-2)\/(4*(-1)\/82). Suppose -5*u + 18 = 2*f - 17, 5*f - 3*u = o. What is the lowest common multiple of z and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -597 + 602. Suppose 0 = -4*c, 10*c - 620 = -l*v + 8*c. Are 123 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*p + 7*p. Put 2, p, 0 in ascending order.\nAnswer: p, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -801720000 to the nearest one million.\nAnswer: -802000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -50 + 23 + -66 + (19 - 10)\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359.325 rounded to zero decimal places?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 13) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u**2 - 56*u + 11. What is k(8)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -449*t + 3513. Is 31 a factor of q(-46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -127 (base 9) to base 14\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 - 64.9. Let w = q - -1.9. Let v be ((-1)\/33 + 0)\/(75\/225). Which is the biggest value? (a) 11 (b) w (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 511812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -15b324 (base 12) to base 2\nAnswer: -1011010110100001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -87228711 divided by -3230693?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 8*y - 5. Let j be o(-5). What is the smallest common multiple of (8\/j)\/(22\/605) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 3*f**5\/20 + f**4\/2 - f**3\/2 - 3*f**2 + 16*f - 12. Let o(g) be the first derivative of p(g). Suppose o(k) = 0. Calculate k.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 578\/75?\nAnswer: 578\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19399906 to the nearest integer?\nAnswer: 4405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.541 + 0.59. Let q = 0.051 + t. Which is the nearest to 1? (a) -1 (b) q (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -3*y**3 - 76*y**2 - 26*y - 24. Let j be s(-25). Let i(f) = f + 1. Let z(p) = -p - 12. Calculate j*z(d) + 3*i(d).\nAnswer: 2*d - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, d: 3}. What is prob of picking 1 w and 1 d?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 498, 1022, 2306, 4728, 8666, 14498, 22602, 33356?\nAnswer: 47138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60168*h**2 + 61243*h**2 - 118990*h**2.\nAnswer: 2421*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -90*p**2 + 485*p - 405. Let n(c) be the first derivative of c**4\/4 - c**3\/3 + c**2 - 28. Let u(t) = -h(t) - 5*n(t). Solve u(j) = 0.\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2205)*1 + 2 + sqrt(2205) - (sqrt(180) + -1 + -3))*-3 + -5.\nAnswer: -108*sqrt(5) - 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 8*p - 2. Let n be d(-7). Let l = 2 - 2. Suppose n*h = -l*h + 10. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14\/169 + -748\/3211. Is r < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r\/(r**5\/r)*r*r*r**(-6\/7))\/(r**(-12)\/r**(2\/7)) assuming r is positive.\nAnswer: r**(87\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124462*c - 124482*c - 780 = 0 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3526 divide 1000737368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**3 + 35910*h**2 - 964075*h - 13236750 = 0. Calculate h.\nAnswer: -10, 37, 7155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, h: 5, y: 7, n: 1, f: 1}. Give prob of picking 2 y and 1 n.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -18000974 * -16\nAnswer: 288015584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 334336 and 1024?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 247 (base 13) to base 10\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -0.3. Let r = -0.8 + 0.85. Let g = r + -0.05. Put 5, g, t in ascending order.\nAnswer: g, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-2) + 0)\/((-9)\/(-15)). Suppose -3*p + 2*j + 22 = 0, 5*j + 0*j + 10 = 0. Sort p, -1, l.\nAnswer: -1, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22845150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**3 + 68*f**3 - 4*f**3 + 98*f**3.\nAnswer: 156*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/5 + 3\/5*v + 9\/5*v**3 + 3*v**2.\nAnswer: 3*(v + 1)**2*(3*v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -6*s**2 - 78. Let k(j) = -10*j**2 + 6. Let h(n) = -52*n**2 + 32. Let f(i) = 3*h(i) - 16*k(i). Give d(f(y)).\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/9)\/(-2)*81\/(-918)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 75 = -5*f + 89 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 8*q + 6. Let m be a(-7). Suppose -4*d = -7 + 3. Let r(b) = 2. Let v(c) = 3*c + 0 + 1 - 4*c. Determine d*r(t) + m*v(t).\nAnswer: t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -99 - -170. Calculate the remainder when q is divided by 30.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -60*c**3 - 3*c - 3. Let t be z(-2). Suppose -480*j = -t*j - 15. Suppose -3*m - 4*w = -11 - 63, 4*m - 3*w - 57 = 0. Sort m, j, 1 in decreasing order.\nAnswer: m, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 129850 and 886?\nAnswer: 57523550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - m = 7428 - 7277, 0 = 5*f - 5*m + 285 for f.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-23)\/(-4) - 5\/(-20). Let h(c) = 2*c**2 - 6*c - 1. Is 17 a factor of h(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.76 + -3.8. Sort -2\/5, m, -5 in decreasing order.\nAnswer: m, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-50)\/10 - 662\/(-7). Let n = -89 + l. Is -1 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116488511?\nAnswer: 116488511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.68610455 times 0.4?\nAnswer: 0.27444182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*d + 240 - 95 = 0, 5*y - 5*d = 250. Let s = 17 + -2. What is the greatest common divisor of y and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 109a + -52380?\nAnswer: -512a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 53616 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23814953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75 - -130. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 1.2, -0.5, 0, 41\/5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -9*n**2 - 10*n - 16. Let o(c) = -18*c**2 - 21*c - 31. Let v(u) = 2*o(u) - 5*r(u). List the prime factors of v(-4).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -421 - -439. Are 0.08 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -273.\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 44 + 28 = 0. Let g = -3.7 - -0.7. Which is the closest to -1? (a) g (b) -1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 145 + -145. Suppose 0 = -2*n - 0*s - 4*s + 56, n - 5*s - 35 = p. Solve -r = 5*r + n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from {q: 2, c: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 75.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7146373 and 148265?\nAnswer: 35731865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -8.4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1215968086 take away 119?\nAnswer: -119.1215968086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = 36*k + 27 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -13*s + 15*s. Let p = 2 + -7. Let z be (8\/(24\/p))\/((-4)\/12). Solve 7*x - z = s*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a century in years?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -4 + -21 + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 times -0.93?\nAnswer: -201.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4562 a factor of 2497251030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8*(-1 + 0)\/(-2). Solve -4*m = o*r - 24, -18 = -5*m - 2*r - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**2\/2 + 8*o + 2. Let l(i) = 1. Let m(s) = a(s) + 5*l(s). Is m(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.187773 + -0.006.\nAnswer: -0.193773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvllcjclcjjlvjjlvll. What is prob of sequence cvj?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 + 6*j - 3. Let o be z(5). Let v be o\/10 + (-72)\/(-15). Suppose h - 7 = -2, 0 = -m + v*h + 444. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c*h*v + 9888*c*h + 3867*c*v**3 + 9*c*v**2 + 2*c + 3*h*v**3 - 317*v**3 wrt v?\nAnswer: 23202*c + 18*h - 1902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7178 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d = -9*d - 0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j. Let v(n) = -n - 1. Let i(r) = -5*r - 4. Let t be (4\/(-5))\/(2\/10). Let d(g) = t*v(g) + i(g). Determine l(d(h)).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -573658?\nAnswer: 5\/573658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-160)*((-780)\/(-162))\/(-13)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 655536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 14. Let l = 4.6 + -4.7. Put -5, h, l in descending order.\nAnswer: h, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 - 6*o**2 + o + 6. Let i be w(6). Let m(k) = -3*k - 3*k + 7*k + 7*k**2. Let f be m(-3). What is the greatest common divisor of i and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1548*a + 211*a - 13*a as o*a + l and give o.\nAnswer: -1350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 38 = 4*u, 0 = 4*k + 217405*u - 217404*u + 16 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmmmwgdlmwmmmmgxd. What is prob of picking 1 w and 1 g?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -346 - -598. Suppose 2*d = -2*d + v. Let w = 24 - 17. Calculate the greatest common divisor of w and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + -3)**2*2 + -2)*-4 - 3*((sqrt(567) + 0)**2 + 0)*2.\nAnswer: -8002 + 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + f + 13 = 2, -41 = -4*s - 5*f. What is the third derivative of 12*d**6 - 7*d**6 - 3*d**5 + s*d**6 + d**2 + 0*d**2 wrt d?\nAnswer: 1080*d**3 - 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7063518 meters to nanometers.\nAnswer: 706351800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - 10) + -11 + 6 - 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 666144320 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 3*t + 8 = 0, 83*t - 12 = 80*t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 544 or -0.603?\nAnswer: 544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113 - 113 + 3*h - 1294*h**3 + 543*h**3.\nAnswer: -751*h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 19*u = -3646. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2929658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -52, 4, -5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 892788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 - 122*f + 73*f + 49*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.081 - -27.2. Let i = 0.019 - v. Which is the closest to -0.1? (a) i (b) -5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.51 (b) 0.02 (c) -1\/2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + 0 - (96 + -93) - 61?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + k - 70, w - 91 = -2*w + 2*k. Let m = -72 + w. Let d = 20 - m. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 + 17*y - 6. Let p be t(7). Calculate the remainder when (-2 - 474\/(-30)) + 3\/p is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/14*4)\/(10\/(-70))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 15 = 13. Suppose -2*b - c = q*c - 69, 0 = -2*b + 2*c + 90. What is the least common multiple of 9 and b?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 + 856 - 858 - 4*j**2 + 5*j**2.\nAnswer: 2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 119975997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (4 - (-3 - -9)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2\/3*i + 1\/6*i**2 = 0. Calculate i.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -15*k - 4. Let d be o(-1). Suppose 4 = 5*a - d, 3*q - 234 = -5*a. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + (49 - 5 - 18)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10, 11, 4, -2031 in increasing order.\nAnswer: -2031, 3, 4, 10, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(80) - (sqrt(5) - (3*(sqrt(5) + -2))**2) - sqrt(25)\/((sqrt(35) + sqrt(1260))\/sqrt(7) - sqrt(5))) + -5.\nAnswer: -199*sqrt(5)\/6 + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + 3*f**3 + 2*f**3)*(2*f**2 - f**2 - 2*f**2) + (f - 2*f**2 - f)*(-3*f**3 - 3*f**3 + 4*f**3) + 8*f**5 - f**5 - 3*f**5.\nAnswer: 6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049 smaller than 2028?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238\/153 - (5 + 7\/2 + -7).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0*i - i)*(234*i + 3 - 2 + 66*i).\nAnswer: -600*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 991.4307 centimeters in nanometers?\nAnswer: 9914307000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ede when three letters picked without replacement from iiiieeiiiedee.\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -4*h - 4. Let q = -113 + 131. Suppose 15 = -q*m + 33. Let x(b) = -1. Determine m*r(n) - 2*x(n).\nAnswer: -4*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 10*x - 34. Is b(9) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -13. Which is bigger: g or -12?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1393669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 174588 by -5.\nAnswer: -174588\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.26, -54\/13, 0.4, 71, 5\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72 + 136. What is the highest common divisor of b and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1348 + 1491. What is the highest common factor of h and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24609043*r**5 - 27370*r - 93 wrt r?\nAnswer: -492180860*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (1 - 4 - -1). Suppose 0*b = -o*b. Let i = 3 - b. Solve 3*j - a = -2*j - 7, -a = 5*j + i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.25 from 2432.\nAnswer: 2432.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + -0.6. Let f = z - -0.2. Let w = 0.05 + -4.05. Which is the biggest value? (a) w (b) f (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*l - l**3 - l**3 + 17*l + 2*l as p*l + s + o*l**2 + q*l**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = 2*l - 68, -16 = 3*f - 2*l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 79*k**2 - 158*k - 137. What is the units digit of q(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccciiiczizvcv. What is prob of picking 1 i and 3 c?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (12\/(-18))\/(0 + (-148)\/(-9)). Let k = w + 181\/814. What is the fourth biggest value in k, -0.2, -10, 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 228670?\nAnswer: 228672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from yfrfzycxcfrffrycfrry.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 23.4. Let l = -2\/2333 + -4632\/39661. Is b >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*(a**(11\/2)\/a)\/a*a**8)\/((a\/(a**(-5)*a)*a)\/a*a**(-1\/11)\/a) assuming a is positive.\nAnswer: a**(211\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20\/13 (b) 1 (c) -1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -190 - (-6 - 125) - (-5 - (1 - 3)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 6*((sqrt(192) - (5 + sqrt(192)*1)) + (0 + sqrt(192) + -4 - sqrt(192))) + -1)**2*-4.\nAnswer: -14400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 17406, 17296, 17186, 17076, 16966, 16856?\n\"Answer: -110*b + 17516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 277760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*k**2 + 65*k**2 + 0 - 22 - 13.\nAnswer: -4*k**2 - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10514 and 5408?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/5)*p*p)**40\/(p*p**1\/p)**(-3) assuming p is positive.\nAnswer: p**139","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 54125387 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -10. Solve -3*f - 1 = b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -112 + (0 - 2) + 26 + -24. Is -112 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1415294 to the nearest integer?\nAnswer: 1190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4095449 to the power of 1\/2, to the nearest integer?\nAnswer: 2024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v + 8. Let n(d) = -d**2 + 5*d + 5. Let x be n(5). Let l(f) = 7*f - 15. Let q(j) = x*o(j) + 3*l(j). Determine q(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187 - 187 + 28*r**3.\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 1\/15*z**5 + 0*z - 6*z**2 + 0*z**4 + 0*z**3 + 0. Let j(b) = 4*b. Give j(f(v)).\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -306 - 352. What is the common denominator of (p\/(-84))\/(6\/4) and -79\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 10 = -2*g, g + 0*g = c - 7. Suppose -7*s = -c*s - 1173. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0009786098 to 7 decimal places.\nAnswer: 0.0009786","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7603550 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-35)*-5)\/(9\/2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*r, -3*z - 4 = -r - 3. Solve z - 2 = -2*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a kilometer in meters?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**7\/280 - q**5\/15 - q**4\/4 - q**2. Let x(b) be the second derivative of t(b). What is the first derivative of x(h) wrt h?\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10237264 times -19?\nAnswer: 194508016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - p + 98. Suppose -2*u - 2 = -6*g + 2*g, u = -1. Let s be k(g). Let z = s - 46. Is z a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13783*a**3*d**3 - 45*a**3*d + 3*a**3 - 4*a**2*d**2 + 2*a**2*d wrt d?\nAnswer: -82698*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -3095\nAnswer: 13\/3095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2069\/23049 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 4487882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 611 + -599. Calculate the remainder when 383 is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1679 and 3242149.\nAnswer: 1679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -403245\/1136 - -5691\/16. Let f = -6967\/284 - s. What is the common denominator of f and 34\/6*(-6)\/(-14)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*u - 2*n, 6*u - u = 2*n + 12. Suppose 4*s - 3*o - 52 = 0, 3*o = 3*s - 0*o - 42. Suppose -j - j - s = 0. Sort 0, j, u in descending order.\nAnswer: u, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d\/d**0*d*d)\/(d**0\/d))\/(((d\/d**(-5\/6))\/d*d)\/d**7))**4)**(11\/5) assuming d is positive.\nAnswer: d**(1342\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/2667 and -167\/30.\nAnswer: 26670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*g**2 - 68*g**2 + 201*g**2 - 64*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) - (sqrt(35)\/(sqrt(15)\/sqrt(3)) + sqrt(7)) - (sqrt(252) + -2)**2 - sqrt(35)\/(-6*sqrt(80)).\nAnswer: -256 + 553*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130, -131, -132, -133?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 - j**2 + j**2 + 2*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23)\/((-6831)\/18)*(-3)\/2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -57*v + 989. Calculate the remainder when 569 is divided by w(15).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + 77183?\nAnswer: 77157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 12*k**2 + 13*k - 4. Let o be y(-13). Let b be (10\/o)\/((-4)\/8). Solve 0 = u - 2*a - 2, -b*a - 3 - 12 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*s + 7. Solve -16 = s*w + 4*q, 5*w - 4*q = -q + 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 2:05 AM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 511 and 292?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/15 - (-22)\/(-165).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-916)\/4809)\/(2\/3). Sort 5\/2, x, 0.033.\nAnswer: x, 0.033, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 9. Let r = 1.6 - 1.5. Which is the closest to r? (a) 2 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 3*n**2 - 4)*(0*n - n + 7*n) in the form r*n**2 + v + q*n**3 + y*n and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111 + 13 + 30)*(-17*r - 17*r + 3*r)*(0*r**2 + 0*r**2 - r**4).\nAnswer: 4774*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/6642 and 121\/4266.\nAnswer: 524718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 0*r**2 - 139*r - 2\/3*r**3 - 57\/2*r**4 - 87. Find the third derivative of m(f) wrt f.\nAnswer: -684","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.6 (b) 2\/21 (c) -6\/7 (d) 215.3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 46 - 44 = 0. Let j be 3*(-5)\/(k\/4). Solve -4*c + 3 = a + 4, -5*c + j*a = 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1681*k + 1404*k + 642*k - 255*k + 1390*k to b + f*k and give f.\nAnswer: 4862","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 50.38? (a) 36 (b) 5 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 3*x**2 - 1. Let r(p) = p**3 + 11*p**2 - 5*p + 29. Let j(b) = -d(b) - r(b). Is j(-10) a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -7*j + 5. Let r be u(5). What is the remainder when (10\/3)\/((-4)\/r) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 722*l**2*z**2 - 832*l**2 wrt z.\nAnswer: 1444*l**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0486 to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 181*v**2 - v. Let k be w(1). Let f = k + -111. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33534*o**3 - 1403*o**2 - 11*o + 2?\nAnswer: 201204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1535874 divided by 86\nAnswer: -17859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 3*y + 16. Suppose -4*t + 5*o = -t - 34, 17 = y*t - o. Solve r = t*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 61*g**4 + 49*g**2*q - g*q - g + 11*q - 4088 wrt g?\nAnswer: 244*g**3 + 98*g*q - q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 139.01097 months in decades?\nAnswer: 1.15842475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-1125)*20*(-50)\/12?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -7*f**3 - 3*f**2 + 5*f + 33. Calculate the remainder when 593 is divided by g(-3).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v - v + 6*v)*(455 + 494 - 250).\nAnswer: 699*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23)\/(-207))\/((-1)\/63)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 2:26 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 12, m: 3, y: 3}. What is prob of picking 1 o and 1 m?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 203087 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27621 (base 9) to base 6.\nAnswer: -222414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23c03d4 - 3?\nAnswer: -23c03d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.403273447 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -35684060 divided by 1784203?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*h - 72*h - 50 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.09405 - 5.90595. Which is the closest to 0? (a) m (b) 13 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 7*s**5\/5 - 3*s**2 - 2. What is the second derivative of j(w) wrt w?\nAnswer: 84*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 21030 - 20832. Calculate the highest common factor of b and 22374.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298*s - 293*s + 180 = 0. Let q = s + 91. Calculate the greatest common divisor of q and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 3. Let d = f + -19. What is the tens digit of (16\/d)\/(((-1)\/(-9))\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 3:39 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 j when two letters picked without replacement from cqciicjqccccc?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 568301471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 25*l + 86. Let j be d(21). Solve -5*g = 5*o, -j*g - 15 = 5*o - 3 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 6*u + 7. Let g be a(-1). Let j be g + (-3)\/(-2) + -1. What is the nearest to 1 in 2\/3, j, -0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -159 or 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-99)\/(-30))\/(-11)*-2\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y + 2*y**2 + y + 0*y. Let o be w(-1). Suppose -4*z + o = -1. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -254?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -595 - -733. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2 + 165*r + 149. Give a(-54).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-16) + (-4)\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -1189729*h. Let g(a) = -4*a**2. Calculate g(w(d)).\nAnswer: -5661820373764*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -m**7\/30 + m**6\/40 + m**4\/12 + 7*m**3\/6 - 24*m**2. What is the second derivative of g(p) wrt p?\nAnswer: -84*p**2 + 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2599 divided by -131923?\nAnswer: -2599\/131923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/5 - ((-119)\/35)\/1. Solve 0 = -z*p - 0 + 15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 0.070347764?\nAnswer: -0.170347764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*s, 2*s + 14 = -5*m + m. Let c = 4 + -4. Let u be (-26)\/(-6) - 4\/(-6). Solve u*n + 4*z + s = 7*z, n - z - 1 = c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 77747543?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 218 + -50. What is the greatest common divisor of u and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r - 17 - 2*r - 5*r. Let d be w(4). Let p = d - -60. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = 2*o - 86, 4*d - 105 - 19 = -4*o. Solve 69*a + 176 = o*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 67711 or 67704?\nAnswer: 67711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 1\/21*f**6 + 0*f - 10\/21*f**3 - 2\/7*f**2 - 5 + 2\/35*f**5 - 3\/14*f**4. Factor b(c).\nAnswer: 2*c*(c - 2)*(c + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4742*u = 4747*u - 2*b - 35, 0 = -4*u + 3*b + 21 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 23 = -3*l + 4*l, 0 = -l - j + 31. Suppose 0 = -l*y + 25*y + 8. Solve -5*d + 4*d + y = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 7*c**2 + 2. Let b be s(7). Let q(j) = -4*j**3 + 2*j**2 - 1. Let i be q(-1). Let t = i + b. Solve 2 = -y + t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1747 + 1747. Is w smaller than 1\/357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 3:02 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*v = -4*a + 33*v + 9, 3 = -a + 5*v. Solve 6 = 2*q + a for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -27*s + 4. Let u be g(-1). Suppose -u = 2*l - 325. What are the prime factors of -2*(l\/(-6) + -4)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 2*n + 118, 4*n - 79 + 283 = -4*b. Let h = 109 + b. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 12*x**2 + 30*x + 4. Let r be i(14). Is r <= 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276659189.\nAnswer: 3001, 92189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddyyyyyyyd. What is prob of picking 2 d?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 17 - 17. Solve -5*n = 4*j - 5, 2*n + u*n = 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l - 8*l**2 + 22*l**2 - 5*l**2 + 6 - 2 + 0*l. Let j(h) = 10*h**2 - 3*h + 6. Let z(q) = 2*j(q) - 3*r(q). Let m(s) = 26*s. What is m(z(g))?\nAnswer: -182*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*l - 44*l - 56. Let r = -23 + l. Suppose -143 = -r*g + 162. Calculate the remainder when g is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 5*f**2 + 2*f + 5. Let b be k(4). Let g = -96 + 93. Are g and b equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 11:58 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 4:39 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1\/9)\/l)\/(l\/l**(-3\/16)))\/(l**(-2\/7)*l)**15)**13 assuming l is positive.\nAnswer: l**(-170521\/1008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)*2*-4 - (-2 + (sqrt(192) - -1*sqrt(192)))) + 2)**2 - (-5 + (sqrt(12)\/(sqrt(32)\/sqrt(32)))**2 + 4).\nAnswer: -640*sqrt(3) + 19205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + 1 + 4*i - 1 + i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + (57 - 9) + (13 - 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)*4*-3)\/(sqrt(700) - (sqrt(700)*-4 + sqrt(700))).\nAnswer: -3*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -706, -470, -234, 2?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 6*d + 6. Let t be j(5). Calculate the greatest common divisor of 90 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -4, -36, -2, -186 in descending order.\nAnswer: 0.3, -2, -4, -36, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -220*a - 8357. Give f(-38).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {y: 7, i: 6, l: 1, f: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 13 = -5*b. What is the second biggest value in -2, b, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -169\/3 + 56. Suppose 0*x + x = -29. Let q = -30 - x. Which is the nearest to q? (a) d (b) 0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2802266667?\nAnswer: 3, 83, 487, 7703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4524 + 4528. Let x(l) = l**2 - 28*l + 89. Calculate x(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.6560907 litres?\nAnswer: 656.0907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 - t**2 - t + 1. Let u(f) = 39*f**3 + 26*f**2 + 26*f - 26. What is 78*b(o) + 3*u(o)?\nAnswer: 39*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16\/93? (a) 13 (b) 0.1 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*sqrt(19))*3.\nAnswer: -6*sqrt(19) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -w**3\/3 + 9*w**2\/2 - 8*w + 7. What is r(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.02, 7, 0.5, 3, 16, -0.817, 6 in decreasing order.\nAnswer: 16, 7, 6, 3, 0.5, 0.02, -0.817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*g*i**2 - 7*g*i*o - g*i + 98*g*o + 2*i**2*o - 7*i**2 - 2*i*o**2 - 1 wrt o?\nAnswer: -7*g*i + 98*g + 2*i**2 - 4*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 PM and 6:15 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 + 3*l)*(5 - 7 - 7 + (3 - 7 - 24)*(-3 + 4 + 1)) to the form c + r*l and give r.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(143)*6)\/sqrt(11) - sqrt(78)\/(sqrt(600)*1).\nAnswer: 59*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*s - 6 + 6)*(-10 + 0 - 7) as t + y*s and give y.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*u - 3983 = 3313. Calculate the remainder when u is divided by 37.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 - 53. Suppose b - 4*v + 1148 = -h*b, b + 279 = -3*v. Calculate the common denominator of (b\/(-18))\/(-1 - 0\/1) and 13\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (514\/(-10794))\/(4\/48 + 0)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from mdmdzdmzzdzd?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0455? (a) 2\/5 (b) 2\/11 (c) -1\/2 (d) 1 (e) -49\/4 (f) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**4 + 3*a**3*w**2 + 3*a**2*w + 2*a*w**2 + 9*w**2 + 2*w wrt a?\nAnswer: -24*a**2 + 18*a*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 203103?\nAnswer: 1015515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssxx when four letters picked without replacement from xsxxxsxxxxxxx.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, -1, 1\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s - 32. Let l be z(17). Suppose -j + 4*c = 54, -4*j = -l*c - 21 + 167. Is -35 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89850?\nAnswer: 2, 3, 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*i**4 + 149.\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -1\/3*h**3 - 4*h**2 + 0*h + 1\/60*h**5 + 0 - 1\/8*h**4. Is r(8) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27477 + -824063\/30. Let r = -5\/108 + 851\/108. Let g = z - r. What is the closest to g in -5, -3, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*v - 1. Let z be (1 - 1)\/(v - -1). Suppose z = -4*y + 11 + 1. Solve -g + y*g = -8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 11 + 12 - 54 + 19 - 3045*y.\nAnswer: -3045*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3*k - 16. Suppose 4*g + k - 16 = 0. Solve 5*l = g*m + 25, -2*l + 2 - 1 = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 a when two letters picked without replacement from pwacadwawca.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4\/4 - 1105*y**3\/4 + 63375*y**2\/4 - 1087515*y\/4.\nAnswer: 5*y*(y - 143)*(y - 39)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.92226979 - 170207?\nAnswer: -170158.07773021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccj when three letters picked without replacement from jjcjccjcjcjcc?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 8902.757nm?\nAnswer: 0.0008902757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 11:55 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43829 is divided by 21907?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 312232340 + 1123?\nAnswer: 312234013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -239 + 471 - 234 - t**2 + (0 + 2 - 3)*(-2*t**2 + 2*t**2 - 2*t**2) - 2*t**2 - t**2 + 4*t**2 - t**2 - 2*t**2 + 2*t**2.\nAnswer: t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of -79*u**7\/105 + 73*u**4\/24 - u**3\/3 - 71*u**2. What is the second derivative of n(s) wrt s?\nAnswer: -1896*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**3\/3 + 4. Let d(v) = -16. Let x(s) = s + 12. Let y(b) = 3*d(b) + 4*x(b). Determine y(n(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33598*g**3 + g**2*k*r - 2*g**2*r**2 - 10*g*k*r**2 + 5*g*k*r + 3*g*k + 8*g*r - 3*g - k*r**2 wrt g?\nAnswer: 201588*g + 2*k*r - 4*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2979, 2, -3 in descending order.\nAnswer: 2979, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 11:34 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 275615227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**2 - 32*c + 40. What is v(8)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 4\/(8\/6). Let g(x) = 52*x - 1. Is g(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 207 and 552.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -6059 - -1?\nAnswer: -6058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 + 1 + 1 + 669. Suppose 3*y - 3*d + j = d, -2*y - 445 = -3*d. Does 6 divide 2\/(-9) - y\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -77 + 31. Let y = -45.99999973 - q. Round y to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {k: 9, s: 4, j: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/5 - (-267)\/30 and 5\/(120\/189) + 5 + -2?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*i**3 - 804*i**2 - 54386 wrt i?\nAnswer: -24*i**2 - 1608*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = 7*f - 280. What is the least common multiple of f and 26?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -5*u, -6*u + 3 = -7*u + 2*b. Let x = 23 - 15. Solve 0 = x*r - u*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18\/8185523 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from owvvnwovvonwwnooxr. Give prob of sequence onrv.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 9444468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -3*x - 25. Let m(z) be the third derivative of -z**5\/120 - z**4\/24 + z**3\/6 + z**2. Let w(n) be the first derivative of m(n). Give w(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29948 is divided by 307?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**3 + 5481*q**2 + 4074*q + 53449. What is o(1371)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*t - 336 = -25*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 82.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 4:06 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.6920858 centimeters?\nAnswer: 6920858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1277 by -14542.\nAnswer: -1277\/14542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.373 minus -284504.593?\nAnswer: 284490.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 1\/40*y**5 + 0*y - 1\/420*y**7 + 0*y**4 + 0 + 0*y**3 - 3*y**2 + 1\/120*y**6. Solve j(r) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84197, -84198, -84199?\nAnswer: -84200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + r = -894, 2*p - 5*r = 8 + 575. What is the greatest common factor of 46 and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -289939\/17 greater than -17054?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 12) in base 13?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.857066 rounded to 1 decimal place?\nAnswer: 47.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0014823 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -3573*v**2 + 6908*v**2 + 3651*v**2 in the form t*v + n + d*v**2 and give d.\nAnswer: 6986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 30*t. Let m(o) = -15*o. Let y(a) = a**2 + 2*a + 5. Let n be y(-2). Let c(s) = n*m(s) + 3*z(s). Let k(b) = -2*b. Calculate c(k(l)).\nAnswer: -30*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/3)\/((510\/108)\/(-17))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 221, 446, 671, 896, 1121?\n\"Answer: 225*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjoj when four letters picked without replacement from {j: 8, p: 3, o: 4, b: 2}?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 26207424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(7) + (sqrt(7) + -4)*-4)**2 + sqrt(56)\/sqrt(8) + -4).\nAnswer: -95*sqrt(7) + 315","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9.7 and 500936.\nAnswer: 500945.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 145\/(-2) - 62560\/25024.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137490 at least as big as -1\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - w**2 - 5*w + 3. Let x(p) = -2*p + 2. Let j be x(0). Suppose -3*k + 2*m + 3 = 0, j*k - k - m = 0. Determine u(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 155028343 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.7, 0.27, -2\/13, -4, 15?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 25*u - 186 = -20*u, 11*r + 4*u - u + 14 = 2*u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000011 - -101?\nAnswer: 10001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -2405?\nAnswer: -3\/2405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 - 2*i**2 + 2*i**3)*(2*i**2 + 0*i**2 - i**2) + i**5 + 0*i**5 - 2*i**5 - 207*i**5 - 140*i**5 + 120*i**5 - 2.\nAnswer: -226*i**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*z - 5*z**2 + 8 + 56*z + 0*z.\nAnswer: -5*z**2 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.032798 + -0.032697923. What is g rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 + 66 + 39 + -133?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-8)\/(-6))\/(24\/108).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 159*q**2 + 4418*q?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7052 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w**3 + 1. Let y(l) = -21*l**4 - 12*l**3 + l**2 - 555*l + 2. Let q(a) = -2*s(a) + y(a). What is the second derivative of q(c) wrt c?\nAnswer: -252*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 19937218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*j**3 - 25*j**2 + 23542*j + 70667031?\nAnswer: 6*j**2 - 50*j + 23542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2.584186 nanometers?\nAnswer: 0.000000002584186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -203 + (-138 + -18422)\/(-145)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.788491 millilitres?\nAnswer: 0.006788491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g. Let c(y) be the first derivative of y**3\/3 + 5*y - 5. Let z(m) be the first derivative of c(m). Calculate z(w(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/1343 and -53\/3239.\nAnswer: 55063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 64 = -2*f. Which is smaller: f or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-20) + 0)\/(13\/(-26)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.08 + -0.056. Let i = -319.02405 - -319. Let c = i + t. What is c rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 12:22 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*p = -36*p + 4. Let t be (-16874)\/(-4) - 2\/p. Suppose -1674 = -2*j - 5*g + g, -5*j + g = -t. What is j rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*z + 72 = 39. Does -1\/43 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*x**3 - 47*x**3 - 48*x**3 + 220*x**3 - 31*x**3 - 45*x**3.\nAnswer: 17*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9.608 times -5\nAnswer: -48.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7363 + 0.112534.\nAnswer: 0.848834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -226698450 divided by 3\nAnswer: -75566150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1530 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-1\/2)\/t)**(3\/11))**49)**41 assuming t is positive.\nAnswer: t**(-18081\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 73*r = 84*r + 145, -6*g - 4*r = -11*g + 65 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4894751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 8. Let f = 12 + s. What is the lowest common multiple of f and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n = -14*n - 140. Let y = n - -39. Solve l + 2*g + 8 = -y*l, 0 = 5*l - 4*g - 16 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -129.9 + 138.9. Let v = -0.21 - -0.01. Which is the fourth biggest value? (a) 1\/3 (b) x (c) v (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(20))**2*-5.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 288260 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(5*m - 4*m + m)*(1 + 3 + 3)*(-m - 2*m + 2*m).\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w + 325. Let h be v(72). Sort 10, 0, 3, h in descending order.\nAnswer: h, 10, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y**2 + 12*y - 3. Let h(l) = 4*l**2 - 11*l + 2. Let z(r) = 5*b(r) + 6*h(r). Let x be z(-5). Let f(s) = 3*s**2 + 0*s - s + 2 - 3*s. Calculate f(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -17 - 3 - (-950)\/25. Let z(i) = -3*i + 11. Calculate z(t).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16327 or -16330?\nAnswer: -16330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -883 and -68238.\nAnswer: 60254154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*i - 4*v - 12 = 279*i, -3*i - 8 = -20*v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.06476633, 5\/4, 2\/5?\nAnswer: 0.06476633","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(((-385)\/(-14))\/(-5)*(-17 + 16)*1)\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-13 - (15 + -17)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1615 + 4847\/3. Suppose -n = -2*k - 2, -2*k - 3*n - 27 = 3*k. Which is the closest to -1\/3? (a) k (b) -2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2284381123 a multiple of 2642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(3 - (1 - 26)\/(-5)). Suppose -n + 706 = -2*g + 220, 0 = 3*n + x*g - 1468. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 41057.4?\nAnswer: -41057.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.27096 * 1.3.\nAnswer: -1.652248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3122496 to the power of 1\/2, to the nearest integer?\nAnswer: 1767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(2)*6 + 6*sqrt(60)*1)\/((sqrt(240)\/(sqrt(30)\/sqrt(3)))\/sqrt(2)).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 219 and 27819132?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-20) - 2\/(-5). Let r be -111 + f\/(-1 - 1). Calculate the common denominator of -65\/4 and r\/20 - (-7 - -7).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.003, -0.001, 0 in decreasing order.\nAnswer: 0.003, 0, -0.001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 + 38*h + 109. Give o(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1570\/628*4\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 11*i**2 + 4 + 2*i**2 - 2. Let r = -1 + 3. What is the units digit of m(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18037 is divided by 4499.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**4 + 3*s**4 + 3*s**4 - 2*s**2 + s**4 + 2*s**2 + (2*s + 0*s - 4*s)*(-s**3 + 0*s**3 + 3*s**3) + 2*s**4 - s + s + 0*s**3 + 0*s**3 - s**4.\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -609, -590, -561, -522, -473?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -13. Let i(v) = v - f*v**2 + 3*v**2 + 3*v + 4*v**2 - 1. What is i(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16587\/2 or -8295?\nAnswer: -16587\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -28, -32, -38, -46, -56?\n\"Answer: -z**2 - z - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of (14292\/(-3))\/(-6 + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**4\/3 - c**2\/2 - 2*c. Suppose -g = -l + 4, -g - l - 1 = -3. What is the units digit of z(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -241084184, -241084185, -241084186, -241084187?\n\"Answer: -n - 241084183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.99287768 to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 393*g**3*k**3*q**2 + 55*g**3*k*q**3 - 3038*g*k**3*q**3 + 2*g*k**3*q**2 + 2*k**3*q + 2*q**2 wrt q.\nAnswer: 330*g**3*k - 18228*g*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a**(-1\/3)\/a)*a)**25*(a*a\/(a*a**(-22)*a))\/(a\/a**(-2\/11)*a))**(-5\/11) assuming a is positive.\nAnswer: a**(-17020\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164 and 55186?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/9 - (-10)\/90.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -13. Let w = 4.874 + 0.126. Sort w, -0.3, b, 2 in decreasing order.\nAnswer: w, 2, b, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 + 2*o + 7. Let g(b) = -5*b**2 - 5*b - 13. Let q(t) = -4*g(t) - 7*h(t). Suppose -5 = -2*u + u. Give q(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -297032 by 74258.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10865 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.7 - -2.3. Let n = -380.0740075 - -371.074. Let r = k + n. Round r to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h + 144. Let p be v(-28). Solve t + 0*a = -a, 0 = -5*t - 4*a - p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11054, 22248, 33442, 44636, 55830?\nAnswer: 67024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.32115 to 2 dps.\nAnswer: 50.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -368569 - -358815?\nAnswer: -9754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -5*f + 19, 2 = -f - h + 1. Solve -v + 3*v - 2*y + 2 = 0, -y = -f*v + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 + 237450*c + 4698541875.\nAnswer: 3*(c + 39575)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -314624123442.999696 + 314621751023. Let x = 2372441 + c. Let f = x - 21. Round f to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5 - 7 + 4*v + 6 + 4*v**2 + 5*v**3 + v**2. Let y(c) = -11*c**3 - 11*c**2 - 9*c - 9. Let a(m) = 9*i(m) + 4*y(m). Let u be a(1). Solve q + 5 = u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29 - -31. Suppose 5*p - 14 = -6*k + q*k, p + 2 = 4*k. Suppose -6*y - 2*h = -p*y - 2799994, -9 = 3*h. Round y to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*q - 1 = 35, -2*n = -3*q - 8. Solve 4*t - o + 12 + n = 0, 4*t + 5*o = -1 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66*b**3*n**2 + 2*b**3*n*y**2 + 13*b**2*n**2 - 2*b**2*y**2 + 2*b*y**2 + 2*y wrt b.\nAnswer: 396*n**2 + 12*n*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 10 = 1. Sort -2, o, 4 in decreasing order.\nAnswer: 4, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40\/(-12)*(2 + -5). Let d = 11 - u. Suppose 29 = 2*h - d. Solve 4*z - h = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 65*w**2 + w + 1. Let d be r(-1). Suppose -4*h + 2*h - 5*j = -26, -5*h + 2*j = -d. Let y = h - 10. Solve 6 = -y*g + g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 14 = o. Solve -5*k = -o*u - 2*k - 9, 2*k - 13 = 5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -7*f + 6. What are the prime factors of a(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6027 + -6022. Is n bigger than 103\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1*(3 + 0 + sqrt(147) + -5 + 2*(0 + sqrt(147)))**2.\nAnswer: -84*sqrt(3) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 0*o + 0*o)*(o + 3*o**3 - o - o**3 - 3*o**3 + 2*o**3 + (-1 - 1 - 2)*(-12149*o**2 + 12149*o**2 + 18*o**3)).\nAnswer: -213*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5130 (base 6) to base 7.\nAnswer: 3210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -337\/1104 + 400007\/131376. Let p = 20\/7 - u. Which is the nearest to 1\/2? (a) -3\/7 (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**7*g*g*g)\/g)\/g)\/(g*g*g**2))**14 assuming g is positive.\nAnswer: g**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*o*u**3 + 14*o*u**2 - 2143*o - 33611*u**4 + 3 wrt u?\nAnswer: -66*o - 806664*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -33*m**5 + 9*m**5 + 6*m**5 - 2*m**5 - 2*m**5 + 2*m**5 + (0 + 5 - 3)*(4*m + 3*m**5 - 4*m).\nAnswer: -14*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 98.8 - 99. Let h = -1.72 - 3.28. Which is the fourth smallest value? (a) f (b) 1\/6 (c) 2\/93 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**3*r**3 + 7725*a**3*r**2 + a**2 + 3*a*r**3 + a + 43*r**2 wrt a?\nAnswer: 6*r**3 + 46350*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220220021 - 1010022102?\nAnswer: -12102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 321*g**3 - 11. Let z(k) = -322*k**3 + 17. Determine -3*w(t) - 2*z(t).\nAnswer: -319*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(13) + -1)*-2.\nAnswer: 2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 10 + 2 = -3*z, 5*v - 5*z - 20 = 0. Suppose 6*w = 3*w + v*o + 189, -o - 63 = -w. What is the greatest common factor of 18 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 112723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(70) + (sqrt(70) - -1*sqrt(70)))*2)\/(1*sqrt(1000)*1).\nAnswer: -6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 3 = 17, i + 6*y - 16*y + 5*y - 22 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -7214 - 4*r + 0*r - 3*r + 7213 + 6*r. Let j(d) be the third derivative of -d**4\/24 + 3*d**3\/2 - 6*d**2. Let q be j(4). What is t(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -318 + 2*j**2 + 184*j**3 - 2908*j + 2908*j wrt j?\nAnswer: 552*j**2 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 + -34. Suppose 2*b + 85 - 45 = m. Let n be 3\/(-5) + (-132)\/b. Solve 0*z - z + 5*y - n = 0, 2*z - 4*y = -6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((6\/3)\/8)\/(((-16)\/(-8))\/48).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1246 (base 7) in base 6?\nAnswer: -2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 - 28 = 2*r. 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: Suppose 2*h + 3*h - 25 = 0. Let y be 1259999\/(-2) - h\/10. What is y rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -13*g**3 - 3*g**2 - 3*g - 2. Let a be y(-2). Suppose 4*r = -0*r + a. What is the remainder when 3\/18*6*47 is divided by r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 221 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.2, 0.8, -5, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.1 - -8.1. Suppose 2*l - 4*l + 37 = -3*z, 0 = -l - 4*z + 2. Which is the fourth biggest value? (a) -4 (b) m (c) -2\/7 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14355 and 5865453?\nAnswer: 29327265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 1. Let y(u) = -2*u + 1. Let a(n) = 3*j(n) - y(n). Let d(i) = -i**2 - 2*i - 3. Let p be d(-3). What is the units digit of a(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 2*f + 1, 4 = -0*f + 4*f. Suppose w*n - 8 = -n. Suppose n*p + 0*p - 52 = -4*c, 4*p - c - 86 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.2, -0.06, 5, -619, -2, 2\/15?\nAnswer: -619","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4301 + 143*t - 142*t + 1431 + 1439 + 1431.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -2.1 (c) 1 (d) -0.4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -o + 3*i + 423, 2109 = 5*o + 2*i. What are the prime factors of o?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = 4*k + 2*n, -3*k = 4*n - 124 - 0. Suppose 0 = 4*j - 5*v - 22, v - 2 = 5*j - k. Solve -3*o + j*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3224*d + 3204*d - 16 - 24 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 16*g**4 - 8*g**3 + 0 + 0 + 12*g**2 - 20*g**4 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - o - 152 = -2*d, 2*d + o - 65 = 0. Let l be ((-2)\/((-10)\/(-25)))\/(-1). Suppose -f = -2*r - 24, -3*f + l = 3*r - d. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4 + 14 = 0. Solve -r*y = -y - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1748 and 2736?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**3 + 12*r**2 - 6*r - 7. Let s be z(-4). Suppose m - s + 11 = 0. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 4*o - 1. Let u(b) = -b**2 + 5*b + 2. Let h be u(7). Let q = h - -18. What is g(q)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -764207*u + 764207*u - 7*u**2.\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/3)\/(10\/6). Let i = 109 - 542\/5. Put i, c, 5\/6 in ascending order.\nAnswer: i, c, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 12*l**2 + l + 1. Let v be i(-1). Calculate the common denominator of ((-53)\/30)\/(v\/(-30)) and 95\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/3)\/((-8)\/84). Suppose -2*n - 10 + 32 = 3*h, -n + 4*h = 11. Sort 4, s, n.\nAnswer: 4, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -2080.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7943839?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13994 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5\/223 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 - 10*v - 9. Let t(i) = i + 12. Let n be t(-6). Let y be j(n). Solve -8 = -a - y*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17531 - -47795. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2\/9, 18, 1\/2 in increasing order.\nAnswer: -2\/9, 1\/2, 7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -520\/19 not equal to -26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26)\/(-117) + 32\/18. Find the third derivative of -12*j**6 - 2*j**2 - j**2 + p*j**6 - 4*j**2 wrt j.\nAnswer: -1200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 4*a + a)*(-10 - 36 + 21 + 22 + 117*a).\nAnswer: 117*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -8154?\nAnswer: -8154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/35 + 316\/10. Suppose -i*z + 35*z = 111. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2258 is divided by 73.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.74 + -8750395884.\nAnswer: -8750395885.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29006 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*l + 2*l**4 + 4*l)*(-2 + 2 - 2) + 7*l - 7*l - 4*l**4)*(3 - 2 - 4)*(0 + 5 - 4)*(0 + 0 + 1).\nAnswer: 24*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/173 + 356\/865. Does t = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1d0569 (base 15) to base 16\nAnswer: 15a5e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2102*d + 11*d**4 - 2102*d + (1 - 7 + 3 + 4 - 4 - 2 + 3 + 1 - 6 + (4 + 1 - 4)*(3 + 1 - 3))*(4*d**4 - 6*d**4 + 7*d**4).\nAnswer: -19*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18634 and 56672?\nAnswer: 6857312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23667 greater than or equal to 23666?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of -241*g**4\/6 - g**3\/6 - 3049*g. Let a(b) = 3*b. Give a(m(f)).\nAnswer: -1446*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 7:18 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 135*r + 8. Calculate s(3).\nAnswer: 413","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -15*w**3 + 19*w**2 - 4*w = 0?\nAnswer: 0, 4\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2034 + 4?\nAnswer: -2030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooowooooooow. What is prob of sequence oww?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**4\/12 - q**3\/2 + 3*q**2. Let y = 11 + -8. Let k be w(y). Is k bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6397357*m - 24 = y + 6397352*m, -1 = -m + 1 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -263192884046 - 0.3.\nAnswer: -263192884046.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2774, 6, 1 in ascending order.\nAnswer: 1, 6, 2774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t**2 - 19*t - 12. Let p be o(7). Solve 0 = l - 3*l - p*w - 8, 5*w = l - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 12:54 AM?\nAnswer: 10:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 3954*y + 836*y + 2187*y in the form z*y + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 9*n + 18. Let r be f(-4). Sort r, -3, -1, 2 in descending order.\nAnswer: 2, -1, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 20 = -4*b. Suppose -4*d + b = d. Solve d*p = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 95 + -103. Let a be 4\/u*8 + 9. Suppose 0*z + a*c = 2*z + 368, 0 = -5*z + 4*c - 920. Round z to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 389, -2\/23449 in descending order.\nAnswer: 389, 5, -2\/23449","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -1\/580, -0.3, 0.2, 79?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 + (-327 + 5)\/(-2) + 6 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -6 - (-41 + -3 + 65).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -248, 4 in ascending order.\nAnswer: -248, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 40472900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bwl when three letters picked without replacement from bwwcbabswbcl.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + t = -2, 5*s + t - 1 = -3. Suppose -1 = -v + 1. Find the second derivative of 2*y**4 - v*y + 0*y**4 + s*y wrt y.\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5591, 5580, 5565, 5546?\nAnswer: 5523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 10:02 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13122*q**3\/17 - 588384*q**2 - 98239960*q\/17 - 239684384\/17.\nAnswer: 2*(q - 772)*(81*q + 394)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + n + n + 2)*((5 - 5*n - 5)*(110*n + 7*n - 10*n) + 0 + 0 - n**2).\nAnswer: 536*n**3 - 1072*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 5:39 PM?\nAnswer: 6:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c = -67 + 37. Put -5, 0, c, -3 in decreasing order.\nAnswer: 0, c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(560) - sqrt(560)*1)\/(sqrt(252) - 3*sqrt(252)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 37, -24, -5 in decreasing order.\nAnswer: 37, 4, -1, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -3.000033. What is z rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164880 divided by -9160?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -257 by -103872.\nAnswer: 257\/103872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 72*t**2 + 909*t + 415685 wrt t.\nAnswer: 144*t + 909","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 5, -4, 2466, 2 in decreasing order.\nAnswer: 2466, 5, 3, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1 + 0 + 3 - 1 - 16*t + 79*t**2 wrt t.\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/6, 8, -1, 0.08?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 2. Let n be h(-7). Suppose 0 = i - 3*i - 2*r + 78, -n*r - 101 = -3*i. Is 21 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9598.7908191334 and 0.\nAnswer: -9598.7908191334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4814 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*v = -44*v - 96. What is the lowest common multiple of 782 and -1*v*(-8)\/16?\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-3366)\/198*3\/(-4794))?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*d = 24*d - 560. Is 14 a factor of d\/(-3 + 5)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2, 1 in decreasing order.\nAnswer: 2, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + -1. Calculate the remainder when 17 is divided by -2 + (r - -1) + 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -9215*y + 73771. What is z(8)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 1:11 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1408833193, -1408833192, -1408833191?\n\"Answer: y - 1408833194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*m = -5770, 5*r + m + 9578 = -2*m. Calculate the common denominator of -95\/102 and r\/84*2\/14.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*d + 2*d - 14*d as p*d + i and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -336*g + 5358. Determine p(16).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 1:25 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1331\/4 - -339401\/1020. Let h = -2\/38435257 + 146707380049\/78407924280. Let z = h - v. Find the common denominator of -13\/4 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 13 (c) -717\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40035*o - 10026*o - 10006*o - 10026*o - 10009*o.\nAnswer: -32*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from aahhxhhaahahh?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -32\/79, -1, -5, -0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*w - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 10*w = 4*b - 25072, 25048 = 4*b - 4*w. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-539)\/(-28)*180\/330?\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -58678 = -56914?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(((-8)\/(-50))\/2). Let r = 54 - u. Calculate the greatest common divisor of 20 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 5*n**2 + 5*n + 9. Let f be b(6). Solve f*a + 2 = 2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 40*x**2 + 81*x**3 - 84*x - 77*x**2 - 15 - 21 + 139*x**2. Let o(v) = 23*v**3 + 29*v**2 - 24*v - 10. Let q(s) = -5*k(s) + 18*o(s). Solve q(c) = 0.\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -a + 3, 0 = -5*f - 3*a + 2 - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -7) + 3 + 4 + -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**2 - 4189570*k + 877624839245 = 0. What is k?\nAnswer: 418957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 0*d - 2*j - 1205, 0 = 2*j - 10. Suppose -2*y + d = 3*y. Suppose 21 = -4*m + y. Calculate the remainder when 57 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/16 + (215831\/14 - 2)?\nAnswer: 5, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-161)*(-14322)\/1364)\/(2\/(-4)*-1).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 137283 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -130.134 + 0.134. Let d = -130.074 - s. Round d to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20 or 43590?\nAnswer: 43590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 6*z**4\/7 + 1702*z**3\/7 - 2278*z**2\/7 + 570*z\/7 = 0.\nAnswer: -285, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147190 divided by -82.\nAnswer: -1795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1450228 a multiple of 986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rsddrcdd. What is prob of sequence drrc?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*v = 103*v - 5697. Suppose -5*q = -1262 - v. Does 67 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 10:21 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 3*n - 47, w - 1591*n + 792*n = -801*n + 1 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of 1\/4*m**4 - 5\/2*m**2 + 23*m + 1 + 7\/6*m**3. Let c = 35 - 49. Let p(u) = -8*u**2 - 20*u + 14. What is c*b(t) - 5*p(t)?\nAnswer: -2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(1\/(3\/84*4)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 31845?\nAnswer: 31842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/5, -81, 4, -0.1608?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -265943.\nAnswer: 106377.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120 is divided by 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m. Let c(f) be the first derivative of f**3\/3 + 3*f**2\/2 - 2. Let a(b) = b. Let h(s) = -3*a(s) + c(s). Give k(h(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1208725 and 175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -183309*k**4*q**2 + 5348*k*q**2 + 226*k*q wrt k?\nAnswer: -2199708*k**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/(-48)*(-1)\/2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v**2 + v - 13. Let f(b) = -20*b**2 - 3*b + 36. Give 8*c(d) + 3*f(d).\nAnswer: -4*d**2 - d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*p + 2*l, -4*l = -16. Let k be p\/(-2)*(-20)\/(-6). Suppose k*r - 692 = -62. Round r to the nearest ten.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 2\/5 (b) -0.3 (c) -19\/2 (d) -95336\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dwdzaaaaadamaw. What is prob of sequence mzda?\nAnswer: 1\/1144","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 3462?\nAnswer: -346.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -2*q**3\/3 + 93. Let r(x) = 31*x**2. What is o(r(f))?\nAnswer: -1922*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 24, -0.1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/4*2)\/1)\/(23\/414)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8259 (base 15) in base 4?\nAnswer: -12232032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 234 and 2678?\nAnswer: 24102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 25 = -g, -105 - 19 = -4*g - 2*q. Let v = g + -27. Let b be (v - -1)\/(-1) - -3. Which is smaller: 1\/6 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 212972\/7 - 30557. Which is smaller: -133 or o?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*a**2 - 2*a**2 - 8*a**2 + (0 - 2 + 5)*(0*a**2 - a**2 - a**2))*(15*a - 11*a + 1 + 32*a) in the form s + n*a**2 + c*a**3 + r*a and give c.\nAnswer: -720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2289 + 959?\nAnswer: -1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**4\/7 + 2208*i**3\/7 - 71924*i**2\/7 - 235752*i\/7 = 0?\nAnswer: -3, 0, 38, 517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1\/7 - (120\/(-14) - -9)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/35)*(t\/(t\/(t\/(t**5*t))))\/t)\/(t**(-9)*t**(-17)) assuming t is positive.\nAnswer: t**(737\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 404*t + 1 + 8 + 189*t - 151*t.\nAnswer: 442*t + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11775 and 1350?\nAnswer: 211950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16206)\/(-511) - 32)\/((-2)\/(-4)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.671 minus -150?\nAnswer: 149.329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63703 (base 9) to base 5.\nAnswer: -2321443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30a35 (base 14) to base 12.\nAnswer: 57a33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1396853 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Is 6 smaller than 519\/104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**2 - 493 + 149 + 204 + 140.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 12, 11, 4, -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4*n = -16, 12 = n - 4*n. Suppose 4*d - 102 = -3*u, 5*d - 143 = -h*d + 4*u. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 1084*u - 1825. Let q(i) = 4337*i - 7303. Let p(k) = 3*q(k) - 11*x(k). What is the derivative of p(z) wrt z?\nAnswer: 1087","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (17 - 32) + (-2 - -1 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 0 - 2\/7*i**2 + 1\/42*i**4 - 1\/21*i**3 + 25*i. Solve t(c) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*a - 25432 = 0, 30550 - 5118 = 4*i - a. Let l = i + -114487\/18. Find the common denominator of 65\/48 and l.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -410114851 - 0.03?\nAnswer: -410114851.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-30)\/4)\/(2\/(-4)). Suppose 0 = -5*p - 0*p - o. Let l(y) = 3*y**2 - 3*y - 1. Is l(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440 = 17*q + 423. Solve -k = q, 108*k = -3*n + 112*k + 19 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 26 = 264. Let r = -46 + l. Solve -8*p - 12 = -r*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1939 - -1937. Let x be 2\/(-13)*31 - (y + -4). Suppose -2\/13*b**2 - 12\/13*b - x = 0. Calculate b.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9143 - 3?\nAnswer: 9140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 3*w - 9, 0 = -w + p + 2 + 1. Suppose 0 = w*v + 4*z - 140, 0 = 2*v - 2*z - 0*z - 70. What is the highest common factor of 16 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/((-60)\/16))\/((-16)\/(-120)*-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*sqrt(19) + 5*sqrt(76)\/sqrt(4) + sqrt(19))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25, 53, 99, 163, 245, 345, 463?\n\"Answer: 9*y**2 + y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122 + -3202?\nAnswer: -3330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -66 - 2?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5476653 is divided by 426?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19160 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-2)*-2*14\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60089049 and 44747?\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/1507694 and -77\/30?\nAnswer: 22615410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 78256920 and -0.08.\nAnswer: 78256919.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -8222\/3 less than -2740?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(99)*-1*3 + -1 - (-3 + (sqrt(99) - -6*3*sqrt(99))**2)*-5.\nAnswer: -9*sqrt(11) + 178680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2419.080188 - -100.\nAnswer: -2319.080188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/5 + 8*t\/5 - 42\/5.\nAnswer: 2*(t - 3)*(t + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*j + 30 = -264*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 2\/575, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.3531 plus 19.5?\nAnswer: -29.8531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 1. Let u(a) = a**2 - 7*a - 6. Let t(x) = u(x) + 6*v(x). What is t(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 2*b = -4*f + 20, f + 3*b - 448 + 457 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 0 - 6 - 2*h**2 + 2*h + 3. Let i(r) = 10*r**2 - 10*r + 16. Suppose 5 + 1 + 34 = 20*l. Give l*i(q) + 11*u(q).\nAnswer: -2*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31276659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -25*p - 40. Let v be u(13). Let d = v + 2915\/8. Do d and 0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -406333 - 160?\nAnswer: -406513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 7*d**3 + 4*d**2 + 6. Let u(r) = -19*r**3 - 12*r**2 + r - 17. What is 11*g(l) + 4*u(l)?\nAnswer: l**3 - 4*l**2 + 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-159)\/(-54) - ((-3)\/2)\/(-3). Let 4\/9*q**2 + 0*q + 4*q**4 + i*q**3 + 2*q**5 + 0 = 0. Calculate q.\nAnswer: -1, -2\/3, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/30 and 91\/18504.\nAnswer: 92520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3520))\/sqrt(11)*-1.\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 193732 and 14.\nAnswer: 193732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*t + 3*w + 19 = -32*t, 0 = -4*t - 4*w - 16 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, g: 3, n: 6, d: 2, v: 6}. Give prob of picking 3 g and 1 n.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9\/22, -5, 0.3, -218.8?\nAnswer: -218.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 30*t + 341. Calculate v(-10).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -6. Let l = u - -43. Let m = 37.8 - l. Which is the smallest value? (a) -2 (b) m (c) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 856174 divided by -11\nAnswer: -77834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -2*h + 48. Let w = h - -44. What are the prime factors of w?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 68\/435277 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0*n + 8. Suppose -3*i = i + 20, b + 3*i = -7. Let l(o) = n*o - b*o + 6 + 6*o. Let y(w) = -1. Calculate l(s) + 4*y(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let v = -740.88 - 23.52. Let d = v - -690. Round d to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 8*w - 12. Let u = 111 - 111. Suppose u = 134*s - 139*s + 35. Give i(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*b**2 + 75*b + 49*b**2 + 28*b - 36*b - 95*b**2 in the form p + o*b**2 + m*b and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27108807 is divided by 81?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -43 + 38 + -17 + -5 + -25\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o + 52. Let s(y) = -2*y - 53. Give 3*b(m) + 2*s(m).\nAnswer: 5*m + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 57417, 57171, 56927, 56685, 56445, 56207?\n\"Answer: w**2 - 249*w + 57665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (804\/1005)\/(3\/15)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddm when four letters picked without replacement from dmmmmmdmmmdmmmdmmmmm?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 9 = -5*m. Let v be 8\/(m\/6*-1). Solve 2*r + 4*o = -v, -8*r - 22 = -3*r + 4*o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 78 - 34. Suppose 4*r - m = -0*r. Calculate the remainder when 20 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 3:54 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 4\/16*4)\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 11. Let p be 114\/(-24) + z\/8. Let v = p + 14. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-6)*b\/((b**(3\/17)*b*b)\/b))\/(b**(-15)\/(b\/(b*b**9\/b)*b)) assuming b is positive.\nAnswer: b**(252\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*x. Suppose x = -3*o + 7*o. Suppose o*p - 4*p + 16 = 0. Solve -m + 5*u = -p*m, 5*m - 28 = u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j = 2091 + 2251. What are the prime factors of j?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t. Let j(x) be the third derivative of 3*x**2 + 0*x**4 - 1\/15*x**5 + 0*x**3 + 0 + 0*x. Determine z(j(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 165.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 444 = 3*s. Let g = 137 + s. What is the remainder when g is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - 5 - -17)*22*2 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4 = 3*h, d = 5*h - 10. Let w = 53 - d. Calculate the greatest common divisor of w and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 3*u. Is (u + -10)*(-1)\/2 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*q**3 - q**2 - 30*q**3 + 90*q**3.\nAnswer: 220*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*u + 2*u. Let n(l) = -l**2 + 40 - 41*l**u - 40. List the prime factors of n(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.8 + -4.2. Which is the closest to -3\/7? (a) -2 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (49*s**2 - 43*s**2 - 43*s**2)*(5*s + 0*s - 2*s) - 356*s**3 - 144*s**3 - 26*s**3 - 124*s**3 + 13*s**3 to p*s**3 + f*s**2 + i*s + t and give p.\nAnswer: -748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 338 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -t + 5. Suppose -2*g + 2*k = 3*k - 66, -167 = -t*g - 2*k. Let u = g - -1. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3317\/15 + -221. Put r, 1\/6, -2 in increasing order.\nAnswer: -2, r, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b + 1358732?\nAnswer: 13586d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 38790.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4404199.6 to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -888361 smaller than -888365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62331529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*r + 8*r + 3922 = 30*r - 23*r for r.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 6*g + 44. Let v be c(4). Solve 2*o**3 + v*o + 6217*o**2 - 1 - 6223*o**2 + 1 = 0 for o.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 373?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2*a - 4 = 0, -2*y - 5*a - 3 = -6*y. Let o(i) = i**2 + i - 2. Give o(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1736770963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -540*k - 34*k**2 - 4*k**2 - 4*k**2 - 64*k.\nAnswer: -42*k**2 - 604*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (0 - -9) - 1 - 8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-46)\/115*2*5)\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 27*w**3 + 23*w**2 + 7*w + 11. Let o(x) = -14*x**3 - 12*x**2 - 4*x - 6. Let g(s) = 11*o(s) + 6*t(s). Solve g(b) = 0 for b.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 2\/23 (c) 37 (d) -2\/9 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (6\/4 - 2\/3)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*o**3*s**2 + 1124*o**2*s**2 + o**2*s - 2*o*s**2 + 2*o*s + 139*s**2 - 177 wrt o.\nAnswer: -108*o*s**2 + 2248*s**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 17 = -15. Calculate the smallest common multiple of u and 11.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*q + 4*q + 3*q)*(-5*q + 5*q + 25*q**3) + 13*q**4 + 7*q**4 - 85*q**4 to the form g*q**2 + c*q**3 + n*q + z + i*q**4 and give i.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 610*o = 570*o + 2400. Solve -o = 12*a - 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k**2 - 3. Let i(h) = h**2 - 13*h + 17. Let f be i(12). Let u(a) = -8*a**2 + a + 5. Let b(s) = f*d(s) + 3*u(s). What is g in b(g) = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 4. Let w be h(-5). Let x be -2 + 2*(w - 3). Let c be 5 + x\/(4 + -1). Let b(k) = -k**3 + 2*k**2 + 3*k + 1. Calculate b(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-317)\/7 + 2086\/7301?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -4\/3*h**3 + 0*h - 4*h**2 - 8 - 5\/2*h**4. Let p(r) = -r**3 - r. Calculate -j(b) + 8*p(b).\nAnswer: 2*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27 + 11)*10\/(-5). Calculate the highest common divisor of 68 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - (2 + -5)) + 25 + -46?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 7*q**2 + q - 2. Let o(w) = -w**3 - 8*w**2 + 2*w - 2. Let a(p) = -4*m(p) + 3*o(p). Let k be a(-3). Solve -1 = -2*c + k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/28614 and -155\/228.\nAnswer: 57228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.04 (b) 4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -28705, -229197, -773393, -1833145, -3580305, -6186725, -9824257, -14664753?\n\"Answer: -28642*r**3 + 2*r - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = 5*a - 18, -148579*u + 148582*u - 3*a + 6 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4156954 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 2*p**2 - 5*p - 11. Let u be x(-9). Let a = u - -914. Suppose -320 = -5*c + a. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 290, 4, 20 in ascending order.\nAnswer: -1, 4, 5, 20, 290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11.30566 and -15900?\nAnswer: 15888.69434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9631171 is divided by 175112.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 + 29.125. Let h = k + -0.19. Round h to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/3))**2*s*s*s*s\/(s\/s**7)*s**(-2\/13) assuming s is positive.\nAnswer: s**(332\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3601506, 14406031, 32413572, 57624129, 90037702, 129654291?\n\"Answer: 3601508*g**2 + g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2 = 10. Let y(j) = -j - 4*j**3 + 2*j**3 - 7*j**3 - 2*j**2. What is the smallest common multiple of n and y(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.30300265 - -0.303. What is f rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 241748 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r + 4. Let i be g(4). Suppose i = v + 4*v - 25, 2*v + 119 = -3*h. Round h to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -19*o + 136. Let i(j) = j**2. What is i(c(q))?\nAnswer: 361*q**2 - 5168*q + 18496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36530 + -6541?\nAnswer: 27767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 36 = -6. Sort x, 5, 3.\nAnswer: x, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4765434.\nAnswer: 2, 3, 794239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 1, -34 in descending order.\nAnswer: 1, -15, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 664979*k**3*m**3 - 2*k**2*m**3 - 7*k**2*m + 2*k**2 + 8*k*m**3 + 201*m wrt k?\nAnswer: 3989874*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 - (-69 + 40 + 32) - 16.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 19.8. Let r = 3 - q. Sort 4, -2\/9, r in decreasing order.\nAnswer: 4, r, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p - 3. Let v = 16 - 27. Let j be (-24)\/v - (-8)\/(-44). What is y(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13353 divided by -349\nAnswer: -13353\/349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -14, -3 in ascending order.\nAnswer: -14, -12, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rwrw when four letters picked without replacement from rwwwwwwwwrwww.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 at most 783?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -742636 (base 9) to base 11\nAnswer: -281832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 4*n + 6. Suppose -5*d - 1 = -21. What is q(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 813073.5 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-805)\/(-1800) - (10 - 528\/54) and ((-24)\/16)\/(72\/58).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1433 + 473 = 61*f - 152*f - 2189 for f.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 480\/(-55) + ((-48)\/14)\/(112\/(-392)).\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.051 from -0.4.\nAnswer: -6.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 80179453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2*s = -4*u + 405, 2*s = -6. Let a = -63 + u. Is 18 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 times -1337?\nAnswer: -169799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*h - 18 = -260*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 = f + 2*o, 3*o = 4*f + 6. Solve -j = -f*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 1. Let m be 516\/108 - 4\/(-18). Let v(n) = -n**2 + 2 + 6*n**3 - 4 - m*n**3 - 4*n**3. Give -5*j(x) - 2*v(x).\nAnswer: x**3 + 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.49726 litres to millilitres.\nAnswer: 3497.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 3. Suppose -2*d + 3*y - 8 - x = 0, -3*y + 20 = -4*d. Which is the second biggest value? (a) 4 (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -461*w**3 + 2*w**2 + w - 1. What is the units digit of s(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*m - 2. Let d = 2\/109 + 200\/981. What is the biggest value in 5, d, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 147762 and 90299.\nAnswer: 1625382","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 2. Let b be (2 - (-1 + 2))\/(-1). Let x(a) = 8 - 6 - 3. Let z(f) = b*u(f) + 2*x(f). Let c(s) = 4*s. Give c(z(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 97807 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3203 + -31202301?\nAnswer: -31212110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 v when two letters picked without replacement from evpeepqev?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 82211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*f - 54*f = 2*s - 4, -5*s = 5*f + 35 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/5))**16*h**(-5)\/h**(-3) assuming h is positive.\nAnswer: h**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 609951 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: Which is smaller: 21913 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000495156588 rounded to 7 decimal places?\nAnswer: 0.0004952","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 10656*c. Let l(h) be the second derivative of h**4\/12 - 5052*h. What is k(l(p))?\nAnswer: 10656*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 35*s**2 + 8*s + 244. Calculate a(-35).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 10:41 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100249, -401302, -903055, -1605508, -2508661, -3612514, -4917067?\nAnswer: -6422320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**3 + 7*q**3 + 5*q**3 + (-2*q - 2 + 2)*(6*q**2 - 3*q**2 - q**2) - 3*q**3 - q**3 + 2*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9709867 and 83?\nAnswer: 805918961","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -196.2 - -201. Which is the second biggest value? (a) -3 (b) -0.3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2536, -5070, -7604, -10138, -12672?\nAnswer: -15206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79193729.\nAnswer: 19, 4168091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a minute in seconds?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60803.6758 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17053 - -17059. Let g(x) = 3*x + x - 6 + 0*x. Determine g(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 4. Let a(w) = w**3 + 3*w**2 - 6*w - 4. Let j = 2 + 1. Calculate the remainder when a(m) is divided by j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 - -8)\/((-18)\/4). Which is the second smallest value? (a) 12 (b) -0.1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + 5 + sqrt(68) + 0 + 1)**2 + -4)*-2.\nAnswer: -432*sqrt(17) - 1780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 138193023 divided by -3?\nAnswer: -46064341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1333953521 to the nearest integer?\nAnswer: 36523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1816 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, q: 6, e: 2, h: 9}. Give prob of sequence hehe.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 177617 - -2?\nAnswer: 177621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 378.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 5, 7.37, 2\/7, 2\/9 in increasing order.\nAnswer: 2\/9, 2\/7, 0.4, 5, 7.37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/(-135)*(-1 + -11 + 4)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = l, -2*l + 3*u - 15 = -58. Solve -8*m - l + 54 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 161. Let o = v - 161. Sort -28, 4, o in decreasing order.\nAnswer: 4, o, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -7. Suppose 0 = y - 4*j + 5, y - 2*j + 1 = -w*y. What is the derivative of -2*z**3 - 14 + 22 + 14*z**y - 11 wrt z?\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of i**2\/2 - i - 67. Let x(g) = -1. Let m(a) = -h(a) + x(a). Let p(l) = -104*l**2. Calculate p(m(b)).\nAnswer: -104*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 2*l + 4. Let b(x) = -x - 1. Let r = -15 + 14. Let h(s) = r*q(s) - 2*b(s). Let a be h(3). Put -2, 0, a in decreasing order.\nAnswer: a, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 4:29 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/9)*i)\/i)\/i*i**6*(i*i\/((i*i*i**5*i)\/i*i))\/(i\/(i\/(i**5*i*i)*i)) assuming i is positive.\nAnswer: i**(-64\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2717 and 9560629?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 23*h - 12. Determine n(-22).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 335, 264, 155, 8?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1.59321 days?\nAnswer: 137653344000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 - 75269*j\/2 - 1957670.\nAnswer: (j - 150590)*(j + 52)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*w - 39*w + 4 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 166 + 1 = 0. Round w to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 5*k**2 - 3*k - 5. Let d be 4\/6*66\/(-4). Let b be -1 + -2 - (d + 2). Is f(b) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/42)\/(((-14)\/(-6))\/7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -39? (a) -5 (b) 1\/2 (c) 2 (d) -2\/25 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2293465932.\nAnswer: 2, 3, 31, 443, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226*i + 487 = -417. Solve -2*n + 4*q = -i, -n + q + 10 - 8 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.73368454 from 924.9.\nAnswer: 929.63368454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 6 = 0, -57 + 30 + 33 = n - 2*r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104133367 and 64082072?\nAnswer: 833066936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 202160904901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from rcu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(2\/7)*r))**12\/(r*r\/(r*r\/(r**(-5)\/r)*r)*r\/(r**(1\/2)\/r)*r))**(-32\/7) assuming r is positive.\nAnswer: r**(2448\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4 = -10. Let x be 36\/8 + s\/(-4). Solve 0 = -4*k - 2*g - 30, -4*k - 2 = -x*g - 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3 = -13. Let x be (a - 8) + -1*4. Sort -4, 4, x.\nAnswer: -4, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -170, -197, -228, -257, -278?\n\"Answer: w**3 - 8*w**2 - 10*w - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j - 85. Let b(x) = 21*x + 186. Let s(t) = 5*t + 45. Let p(w) = 4*b(w) - 17*s(w). Give -2*a(i) + 9*p(i).\nAnswer: -i - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5059?\nAnswer: 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 259 = -3*k, -4*k = a + 140 - 493. Suppose 13*h - 17*h = -k. Suppose h = -9*m - 2*m. Sort -6, -5, m in increasing order.\nAnswer: -6, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70294, 70367, 70440, 70513, 70586?\nAnswer: 70659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 f when three letters picked without replacement from {l: 11, f: 2, s: 2}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -4231963?\nAnswer: -4231963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391601588.\nAnswer: 2, 7, 23, 151, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**5\/10 - p**4\/3 + 31*p**2 + 35*p. What is the first derivative of d(j) wrt j?\nAnswer: 6*j**2 - 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**9\/15120 + f**5\/40 - f**4\/6 + 2*f. Let h(u) be the third derivative of j(u). Differentiate h(z) wrt z.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**4 + 4*r**4 - 2*r**4)*(-2*r - r + r) + 4 + 5*r**5 - 4.\nAnswer: r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -88 + 2b?\nAnswer: -5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 3*l - 15, 5*l + 5*d = -122 + 167 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 4:02 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 9. Is (-1 + 70\/j)*-6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-528)\/(-56) - 9\/126.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 - 22 + 7*p**2 - 13 + 35.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -536 + 184 + 352 + 0*p**2 - 74*p**2 - 75*p**2.\nAnswer: -149*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 86*a + 62 = -81*a, d + 5*a = 46 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3275 divided by -5?\nAnswer: -655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -1161?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -571 - -570.402. Let n = -0.018 - d. What is n rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1219774195.\nAnswer: 5, 67, 349, 10433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3*y + 2*y - 4*y)*(-2*y + 4*y - y) + 2*y**2 - 2*y**2 + 5*y**2)*(-y**2 - 2*y + 2*y) to d*y**3 + h + g*y + n*y**2 + t*y**4 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (8\/18*-3)\/((-84)\/(-189)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266758.\nAnswer: 2, 133379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 68*k**2 + 1. Let p be 4\/(-12) + 26\/(-3). Let f be 15\/9 - (-6)\/p. Is z(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v**4 - 2068*v**3 + 28372*v**2 - 102828*v + 108648 = 0 for v.\nAnswer: 2, 3, 9, 503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38244 and 22228.\nAnswer: 212521908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u + u + 2*u)*(5*u**2 + 0*u**2 + u**2) - 3*u**2 + 3*u**2 - u**3 to y*u**3 + b*u**2 + x + m*u and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a - 36 - 2*a + 152 - 4*a**2 - 116.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**2*q))\/q)**35)**(-49) assuming q is positive.\nAnswer: q**5145","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -114, -0.01, -5, -18\/11?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 + 6*d + 18)*(-186477 - 11*d**2 + 186478 - 23*d**2) as s*d**2 + q*d**3 + h*d + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 3 - (-3 + -3 + 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 753637 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -2\/11 (c) -87 (d) -0.0415 (e) -2\/17 (f) 0 (g) -3\/16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from iccccicicciciiccciii?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -o - 606, -44 = i - o + 82. Let y = i + 533. Let b = 7807\/19 - y. What is the nearest to 2\/5 in -2\/7, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = -7*z + 10*z. Let j = -12 - z. What are the prime factors of j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -12*c - 10. Let u be y(3). Let h = 48 + u. Suppose -a - 2*k - 2*k = 13, 0 = -h*a - 5*k - 17. Sort a, 3, 9 in descending order.\nAnswer: 9, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 2:52 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5*j**(1\/4))**(-13)*(j**0\/j*j**(3\/2)*j)\/(j**(3\/7)*j\/(j**(-1\/6)*j)) assuming j is positive.\nAnswer: j**(-5657\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 1. Let g(w) be the third derivative of w**4\/12 - 5*w**3\/6 - 483*w**2. Give -g(k) + 6*q(k).\nAnswer: 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26118 is divided by 768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17933924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4178 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1\/3 (b) 0.25 (c) 3\/8 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 88\/428049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 4*h - 48, -43*h + 27*h = -25*h - 11 + 5 - 3 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -95999 and -0.118?\nAnswer: 95998.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*sqrt(65)*-5)\/(-3*sqrt(180)).\nAnswer: 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 248767239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*f - 90 = 783 + 837 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -121*i + 13. Let u(w) = 147*w - 12. Let s(p) = -6*k(p) - 5*u(p). Let n(h) = -h + 1. Determine -18*n(c) - s(c).\nAnswer: 27*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 22. Let c = -14 - q. Calculate the remainder when c is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 84\/24*(-24)\/(-14). What is the units digit of 1\/d - (-860)\/24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1580*k**2*s**2 + 20*k**2 + 2*k*s**2 - 50*s**4 + 67152*s wrt s?\nAnswer: -3160*k**2 + 4*k - 600*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*f**2 + 0)*(f + 2*f + f).\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/4))**(-20))**(-5\/6)\/((m\/(m*m*(m*m**(2\/3)*m)\/m)*m**(-1\/5))\/(m**(-2\/21)*m**(3\/2)*m)) assuming m is positive.\nAnswer: m**(116\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 3:24 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6925476 by 4.\nAnswer: -1731369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -250\/178207?\nAnswer: -250\/178207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 52236.60643 to the nearest 10.\nAnswer: 52240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4348 (base 11) to base 6.\nAnswer: -42323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3376229 or -3376233?\nAnswer: -3376233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793599457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 565*b + 13*b**3 - 589*b - 39*b**3.\nAnswer: -26*b**3 - 24*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -4*z + 7*z. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*f + 1848 - 1848 as u + k*f and give k.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -98, 41, 6, -4, -2 in descending order.\nAnswer: 41, 6, -2, -4, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = 3*i + 27, -3*g - 3*i - 39 = g. Let b(s) = s**2 + 5*s - 6. Let u be b(g). Let j be 4\/30*-3*(-10)\/1. Solve u = j*o + o - 5, 2*x - o - 1 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8512 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -405751 smaller than -405751?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/(-42))\/((-4)\/54*6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**5\/9 + 10*c**4\/9 - 40*c**2\/9 - 32*c\/9 = 0. Calculate c.\nAnswer: -4, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3961 + -1871. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 36 and -0.21.\nAnswer: -7.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1598 - 1532. Calculate the greatest common divisor of 352 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 1533*c + 1560. Let f be h(-1). Calculate the greatest common factor of f and 17217.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 577158 and 14766.\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 2. Suppose -4 = -q + n. What is the lowest common multiple of 8 and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 0 - 5\/6*v**3 + 2*v**2 + 0*v - 1\/24*v**4. Calculate g(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -437.49 + 6.49. Let t = 302 + r. Let a = t - -129.00000298. Round a to seven dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*-10*4\/8. Let w(z) = -15*z - 11. What is the units digit of w(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -53*b**3 - b**2 + 9*b - 3. Let o be i(-3). Suppose -88*l + o = -85*l. List the prime factors of l.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -44, -76, -110, -140?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -56? (a) 2\/15 (b) -1\/3 (c) -4\/7 (d) 4 (e) 182\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 566793583*m**4 - 632272774*m?\nAnswer: 6801522996*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2512, -10510, -31600, -72328, -139240?\n\"Answer: -1091*j**3 - 361*j - 1060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x - 10*x - 15*x - 39 - 2*x + 36*x.\nAnswer: 3*x - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11 and 6029965.\nAnswer: 6029976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 411620 and 220?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/12084 and 41\/21375?\nAnswer: 4531500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d - 6. Let s be o(7). Let r be (-3)\/(-4) - s\/(-36). Let z(u) = -u**3 - u + 185. Is z(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -23. Suppose -4*d = n - 12, -31 = -5*d + 2*n - 3. Put x, d, 2 in increasing order.\nAnswer: x, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/(-4))\/((-6)\/(-9)). Let p(c) = 425*c + 29. Is p(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 258681991?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 133 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 38?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 - -267. Let s = 440 - x. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386 = -167*x + 1284 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 59*k**2 - 1586*k - 277. What is a(-79)?\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 3*b**2 - 6*b**2 + 0*b**2.\nAnswer: -3*b**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 14 = 2*x - 18, -71 = -4*j + 3*x. Suppose 233*i - 637 = 226*i. What is the highest common factor of j and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 4*k + 1. Let h be v(4). Suppose -2 = 2*p + 4*x, -2*p = -3*p + 3*x - h. Let f(m) = -2*m**2 - 5. Let d(b) = -1. Determine p*f(g) + 6*d(g).\nAnswer: 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6115422?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - y + 1. Let w(c) = -2*c - 16. Let j be (108\/(-24))\/((-1)\/(-2)). Let p be w(j). Calculate a(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -17\/7 (b) -2\/9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-3))\/((s*s**(1\/2))\/s))\/(s\/(s**3*s)*s*(s*((s**(-1\/3)\/s)\/s)\/s)\/s)*((s\/s**(-3\/2)*s)\/(s**(-2\/7)*s))**10 assuming s is positive.\nAnswer: s**(1541\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u**(2\/3)*u)**25\/((u*u*u**6\/u)\/(u**(-1\/5)\/u)))**32 assuming u is positive.\nAnswer: u**(52064\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-30))\/(1\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((110\/7)\/5)\/(12\/28)*93\/310?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 - -1. Let f = -121 - -115. Let q = 400 + -400.5. Sort q, f, o in descending order.\nAnswer: o, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -l + 1719 + 7937, 2*b = -l + 4828. Is 34 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 124 and 1116806.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - y = -3*y + 52, 5*i + 3*y - 63 = 0. Let u be (-6)\/4*(-6)\/i. Suppose 3*r - 3 = -0. What is the closest to r in -1, u, -5\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 32 in descending order.\nAnswer: 32, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z - 9570 = 8*z. Let k = z - -344. What is the highest common divisor of k and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 289*l + 2314. Determine w(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: a33 (base 13) to base 11\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1251 = -12*l + 1155 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19639324 is divided by 2179.\nAnswer: 2176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k - 1 - 21 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 238.87+-206205448\nAnswer: -206205209.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -197.4 + 159. Let q = y + 38. What is the nearest to -1 in q, 0.5, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -1420*b. Let h(r) be the third derivative of r**4\/8 + 681*r**2. Calculate k(h(o)).\nAnswer: -4260*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/4*42\/(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**6*w**(-1\/14))\/(w\/w**3*w*(w\/(w*w**(1\/4)*w))\/w) assuming w is positive.\nAnswer: w**(257\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((3 + sqrt(242) + -2)*2 - (6*(-2 + sqrt(242)) + -4))**2 + 4)*3.\nAnswer: -4752*sqrt(2) + 12606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -44.92575 + -0.05425. Let b = v - -45. What is the smallest value in 3, -1\/29, b?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 8 = 2*d - 3, -52*l + 3*d = -47*l - d + 19 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*g**6 + 267*g**4 - 417*g**3 + 82867*g**2 + 35 wrt g.\nAnswer: 2520*g**3 + 6408*g - 2502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 27*x - 9. Give a(-7).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -6 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*t - 1744 = -276, -1500 = -4*k - 3*t. What are the prime factors of k?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -2\/7 (c) -1 (d) 25\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -10*n + 6*n - 1, -2*x = -n - 14 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k**2 - 192*k - 1328. Calculate f(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 0. Let l = o - 1.9. Which is the second smallest value? (a) -2\/9 (b) -0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 2070, 5.\nAnswer: 5, 21, 2070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-333)\/(-12))\/(-37))\/(((-30)\/14)\/((-104)\/(-14))).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: ((-486)\/(-96))\/(25440\/(-13568))\nAnswer: -27\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -228 divided by -26\nAnswer: 114\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 6 (c) 3\/5 (d) 1\/5 (e) -2\/17 (f) 0.091\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = t - 2*s, -s = 5*t + 6 + 10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20817 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vigg when four letters picked without replacement from {i: 1, m: 2, g: 1, z: 2, v: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117904 is divided by 3589?\nAnswer: 3056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2021 + -2?\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1900) + 2)**2 - ((sqrt(1900) + 3 + sqrt(1900)*3)**2 - sqrt(1900))) + (-5 + 1 + sqrt(1900) - (4 + 0 + sqrt(1900)))*-4.\nAnswer: -22761 - 70*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -169*y**2 - 1855*y + 4. What is b(-11)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1306661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -14\/33?\nAnswer: -14\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 + 11*v + 1. Let s be r(8). Let a be s\/(1 + 93\/(-102)). Let f = -65 - a. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 6*p**2 + p - 6. Let g be 6*(3 + 290\/(-4)). Let x = g - -412. Calculate b(x).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 20*o**2 - 7*o**2 - 9*o**2 - 5*o**2. Let u(k) = k**2. What is -5*u(d) - 4*w(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1480\/120)\/(-37))\/(((-4)\/(-2))\/(-132))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23130 - -2?\nAnswer: 23132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jfnjjcjjfnjfnfcjjfj. What is prob of picking 2 f and 1 c?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gyy when three letters picked without replacement from gygggggggggyg?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 474 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 39 + -4 - (103 + -100)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of -21*w**4\/4 - 18*w + 29. Differentiate p(m) with respect to m.\nAnswer: -63*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g + 0*g - 6*g - 16)*(0*g + 0*g - g)*(-g**2 + 4*g - 4*g).\nAnswer: -g**4 - 16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 + 2*i. Let m(c) be the first derivative of -11*c**3\/3 - 8*c**2 - 8*c - 95. Let v(q) = m(q) + 5*p(q). Give v(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3863*n**3 - 350*n**2.\nAnswer: 23178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/(p*p*p\/(p*p\/(p\/p**19))*p*p)*p*p**(-12)\/p*p**(2\/15)\/p**(-8) assuming p is positive.\nAnswer: p**(182\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.012, -5\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 364171758709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ouogoguuouuou. Give prob of picking 2 o.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5 = -2. Let u(j) = j + 2. Is u(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21645.8 rounded to the nearest one hundred?\nAnswer: -21600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669 is divided by 61.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 27868132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 + 2*o**2 + 4*o + 5. Let a(h) = -h**3 + 3*h**2 + 5*h + 6. Give 4*a(g) - 5*j(g).\nAnswer: 6*g**3 + 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2016 = 1728*d - 1776*d for d.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/1 - (-31 + -2). Let q = k + -31. What is the highest common factor of q and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 5*g**2)*(-816 + 2*g + 816 - 55*g**2) to the form z + q*g**4 + r*g**3 + d*g**2 + n*g and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 10. Calculate u(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -15*s + 33 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -184112 + 597802. Let x = -226310 - n. Round x to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/7)*w)**(-25) assuming w is positive.\nAnswer: w**(-100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 j when three letters picked without replacement from {u: 1, j: 4, s: 2}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 12*t + 4. Let l be y(8). Suppose 5*j - l = 80. Does 18 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55950 is divided by 99.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 15*m**2 - m - 1. Let c be s(-1). Suppose 1 = 2*u - 15. Solve 3*g - u*g = c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4708549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 1, -53, -9, 4 in descending order.\nAnswer: 4, 2, 1, -4, -9, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 2*c**5\/5 + c**4 - 16*c**3\/3 - 18*c**2 - 18*c + 112. Factor r(l).\nAnswer: 2*(l - 3)*(l + 1)**2*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + 7*s + 2354 - 2930 = 0. Solve 6*q - s = -20 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 24.2. Let x = 1.5 + -0.5. Let u = 0.98 - x. What is the second biggest value in u, s, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2610087 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 238087224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.121, -0.5, -59, 627 in decreasing order.\nAnswer: 627, -0.121, -0.5, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 266988 divided by -38?\nAnswer: -7026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54\/17 - 1208\/391. Let f = 3.42 - 23.42. Which is the closest to 1? (a) f (b) m (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -6*i + 7*i. Sort i, -3, 4, 6.\nAnswer: -3, i, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1241056 - 10?\nAnswer: 1241046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h. Suppose 4*v = 2*v + 14. Let r(l) = v + 2*l - 7. What is r(c(p))?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59075307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/2800 and -113\/1120?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 31. Suppose 4*y - h = -1. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 106.972 - 53.429. Let y = 54.1 - v. What is y rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109500938 is divided by 26565?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 11702 = 72*g - 76*g, 11695 = 4*g - 5*r. Is g a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = q + 7*o + 8, o = 3*q - 15 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 150367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 2*a - 557. What is t(-25)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2655 and 940?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 - ((12 - 4) + -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 + 30*c - 20. Let t be g(14). Let s = -6 + 30. List the prime factors of 70\/t + s\/(-32).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 5*y. Calculate i(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2448) - sqrt(2448) - (sqrt(272)*-3)**2 - ((2*sqrt(17) + -4)**2 - 2*(2 + sqrt(17))).\nAnswer: -2529 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*i**2 + 430*i**4 + 3*i + 428*i**4 - 1287*i**4 + 433*i**4 - i**3 to the form m*i + g*i**3 + v*i**4 + h + p*i**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 54 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12272 divided by 158.\nAnswer: 6136\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/6)\/((-6)\/(-9)). Suppose 4*a - 486 + 466 = 0. Sort a, 16, x in decreasing order.\nAnswer: 16, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63 and 7231.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 3ad?\nAnswer: -3a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 10. Let g = 6\/3475 - 302373\/27800. What is the common denominator of 150\/n + 2\/(-4) and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444143820 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1177179 and 237?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 581239*f**3*o**3 + f**3*o**2*v + 10*f**2*o*v - 45*f**2*v + 9*f*o**3*v - 16676 wrt o.\nAnswer: 3487434*f**3 + 54*f*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 1 - 41. Let t(u) = 2*u**2 + 15*u + 15. Let l(m) = -4*m**2 - 2*m - 1. Let y be l(1). What is the remainder when c is divided by t(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -0.1651347285.\nAnswer: 0.0348652715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 3*z**3 - 1638*z**2 + 154815*z + 156456 = 0.\nAnswer: -1, 123, 424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2 + 3*q. Let t(l) = -l**3 - 18*l**2 - 19*l - 35. Let w be t(-17). Let i(r) = r**2 + r. Calculate w*p(g) + 3*i(g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 108095, 108093, 108101, 108125, 108171?\n\"Answer: u**3 - u**2 - 6*u + 108101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 874391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 51425280 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 144978634*p - 5254701079126489.\nAnswer: -(p - 72489317)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 330?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -677363 (base 8) to base 13.\nAnswer: -80388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/7))**25*(c*c*c*c**(-4\/7)*c*c)\/c**(2\/9) assuming c is positive.\nAnswer: c**(715\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w. Suppose 4*n - 4*k - 14 = 22, -4*k = 0. Let t(o) = -19*o**2 + n*o**2 + 2*o**2. Give z(t(a)).\nAnswer: -16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008709431 to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -625933.\nAnswer: -125186.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21741 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6))\/((-36)\/16).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 565 + -214. What are the prime factors of 110838\/n - 4\/(-18)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6cbbd - 2?\nAnswer: -6cbc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*l + l - 113, -4*l = 4*w + 76. What is the tens digit of (-91)\/w*(-12)\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**2 - 2208196 - 6*w**2 + 1187*w - 7131*w = 0.\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -1624 - 14*j**2 - 15*j**2 + 3261 - 1642. Let o(u) = 697*u**2 + 119. What is -5*o(k) - 119*r(k)?\nAnswer: -34*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33 + -12223346?\nAnswer: -12223412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 3:41 PM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 0*b**3 - 2\/5*b**5 + 0*b**2 + 0*b**4 - 3*b + 4. Find the first derivative of o(q) wrt q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-70)\/126 + 16\/(-36). Is -4\/265 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - 2. Let y be m(4). Suppose v - y = 8. Suppose -2*z - v = -2*w, 4*z - 5*z = w - 11. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2296467?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*n)*(1 - 2 + 0)*(6 + 2 - 2).\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 3 = 0, -h + 114*w = 117*w + 19 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 97*f - 824. Let d be g(10). Suppose -25*b = -23*b - d. Suppose 0 = 5*c - 5*k - 105, -5*k + 20 = -0*k. Calculate the remainder when b is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 + 16acbb?\nAnswer: 16aca9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 - c**2 - 2*c - 1. Let r = -12 - -11. Let y be t(r). Solve b - y = -4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*o - 5*l + 13 = 0, -5*o + 180 = 2*l. Let a = 60 - o. Calculate the highest common factor of a and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-15))\/((-3)\/(-10)). Let n = u + 7. Let f be (-18)\/(-24) - n\/(-12). Which is smaller: f or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -424474924 greater than -424474924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 27 - 333. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -198916 > -198916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/(-6) - (-2)\/(-3). Let w be (0 + 2 + i)\/(-1). Solve -w = -s + 2 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 5*w. Let s = -6 + 13. Let u = 3 - s. Let j(d) = -d**2 - 4*d. Suppose 5*t + 20 = t. Determine t*j(n) + u*o(n).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 67108579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**3 + 2*i**4 - 3*i**3 + 2*i - i**4 - 50*i**2 + 49*i**2 + 0*i**4 = 0?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/36*(-6)\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -20*o**2 - 25*o. Let n(b) = -8*b**2 - 6*b. Let h(v) = -7*v**2 - 6*v. Let a(q) = -3*h(q) + 2*n(q). What is 25*a(c) + 6*w(c)?\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5033*j - 1632*j - 1713*j - 1683*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 239 - 240. What is the common denominator of -61\/14 and (z - 292\/48) + (-8 - -6)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -5 (b) -3 (c) -2\/5 (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7184984?\nAnswer: 2, 47, 97, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 35*r - 176. Let b(f) = f**2 - 34*f + 150. Let h(g) = -10*b(g) - 9*l(g). Factor h(i).\nAnswer: -(i - 28)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millisecond in microseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/5 of a meter?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5217199.06 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16\/179 + 9647\/1790. Calculate the common denominator of h and 71\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xydssddxddpxyttp. What is prob of sequence ttsp?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1380, -2597, -3582, -4269, -4592?\n\"Answer: 11*a**3 + 50*a**2 - 1444*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83091 is divided by 1240?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 168\/(-980)*-3*5\/(-6)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 9 = o. Suppose 3*g + 27 = -3*q, 5*q = 3*g + 12 - 49. Let f = o - q. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 6. Let f = -1.0929 + 85.0929. Put -5, f, -3\/5, q in decreasing order.\nAnswer: f, q, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 17*i - 21. What is the units digit of v(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 556491101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -185 - -107. Calculate the remainder when ((-1)\/2)\/(3\/k) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 184 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27806, 111027, 249714, 443867, 693486, 998571?\nAnswer: 1359122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 408997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 827782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 806 (c) 0.4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2914 - 64*k + 2914.\nAnswer: -64*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j + 6 - 13*j**2 + 3*j**3 - 12 + j**3 - 3*j**3. Is n(13) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-245)\/14 + 18)*-2. Let q(o) = -3*o**2 + 4*o + 6. Let j(w) = -w**2 + 1. Calculate c*q(h) + 6*j(h).\nAnswer: -3*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - ((0 - 0) + (-14 - -15))) + 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 43. Let x be (4\/(-6))\/(48\/j). Let m be (-1*1)\/(3\/(-15)). What is the smallest value in 3, m, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19156 - 19155.63481. Let h = 0.367 - q. Round h to 4 dps.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*l - 20, 0 = u + 4*u - 25. Suppose 15*o + 0 + 15 = 0. Sort 9, o, l in decreasing order.\nAnswer: 9, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95765*x - 95839*x + 73*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18564 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -a**3\/3 - 3*a**2\/2 - a + 35. What is k(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-292 + (-620495)\/(-2123))\/(35\/(-11)).\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 - 6*x - 6. Let a be 12\/(-8)*((-10)\/6 - -3). Let g = a + 7. Calculate the remainder when t(5) is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2 + -2*sqrt(13)*-2) + 3 + -1*(-3 + (sqrt(52)\/sqrt(4))**2) + 0 + 2*sqrt(325).\nAnswer: -5 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 312446857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 160108546 to the power of 1\/2, to the nearest integer?\nAnswer: 12653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 9:30 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i**2 + 3*i**2 - 2*i**2)*(-3*i + 4*i - 3*i) - 3*i**3 - 2*i**2 + 2*i**2 - 9*i + 3*i**3 + 9*i to the form b*i**3 + k + z*i + f*i**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kmlllkmlkml. Give prob of sequence lmml.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1917777016?\nAnswer: 2, 53, 4523059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 9*g + 1. Let q(u) = -u. Calculate o(i) - 5*q(i).\nAnswer: 14*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 352, 1418, 3200, 5704, 8936, 12902?\n\"Answer: l**3 + 352*l**2 + 3*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2169 is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/5, -0.04, 0.02, -3, -5, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 449 and -0.3.\nAnswer: -134.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 60117 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 147 = -3*d + 6*a, -d = -5*a - 81. What is the greatest common factor of 136 and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 7*y - 1. Let l be q(-6). Suppose 4*i + 28 = 4*d, 33 = 4*d + l*i - 13. Let f = d + 1. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-39)\/((-36036)\/(-98)))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c4c2 (base 13) in base 6?\nAnswer: -325530","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/2*(-4)\/3. Let f = 52 - 29. Let u(v) = -8*v + 189. Let k be u(f). Solve -k*p + 20 = h, r*p - 3*h - 30 = -p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(1\/4)*u*u\/u**(-2)*(u**(1\/3))**49*(u**(2\/7))**18\/(u**(1\/9)*u**(-4\/3)) assuming u is positive.\nAnswer: u**(7043\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 128, 139, 150, 161?\n\"Answer: 11*k + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-5 + 3*(0 + sqrt(448))).\nAnswer: -10 + 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1141433582*j - 236667260 with respect to j.\nAnswer: -1141433582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2529419617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(2\/3)*u*u\/(u*u\/(u**25\/u*u)) assuming u is positive.\nAnswer: u**(77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-1))\/(1\/(-4)*-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 416198 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38473\/8 - -4800. Find the common denominator of -59\/129 and q.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (-8)\/12*-219. What is r rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w + 90068. Let m(q) = -3*q. Give v(m(y)).\nAnswer: -6*y + 90068","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 8, 17*q + 19 = 20*q + 4*u. Which is the third smallest value? (a) -15 (b) -2 (c) 5 (d) q (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3 + 0 + 3*r**2 - 3*r - 5*r**3 + 3. Let h(m) = 4*m**3 - 2*m**2 + 2*m. Let n = -6 - -9. Determine n*h(j) + 2*u(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 116368?\nAnswer: 116368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 28*2812\/(-4256)*(-8)\/(-4)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131782?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 10270474\nAnswer: -51352370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -5*u + 29, -m - 4*m = u. Suppose 4*w - y - 10 = -w, -u*y + 8 = 4*w. Suppose -24 = w*g - 5*g. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-4 + 4 + 25).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f**2 + 4*f**2 + 0*f**2 + (-f + 0*f + 0*f)*(4 - 4 + f))*(-6*f + 5 + 3*f + f) + 3*f**3 + 3*f**3 - 5*f**3.\nAnswer: 9*f**3 - 20*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 805, -3382, -10369, -20156, -32743, -48130?\nAnswer: -66317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 649 (base 14) in base 5?\nAnswer: 14431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + 1 + 5 - -5 - (398 - 287).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/11)\/o)**(-41) assuming o is positive.\nAnswer: o**(533\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + 3*m + 5. Let w be i(0). Solve 3*y = w*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0 (b) -0.08 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**2\/5 - 57890*o - 4189065125 = 0.\nAnswer: -144725","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**3 + 255*p**2 + 50*p - 141. Does 2 divide d(85)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 338*p**3 + 66*p**2 - 4753*p + 66. Let v(d) = -21*d**3 - 4*d**2 + 297*d - 4. Calculate 33*v(i) + 2*z(i).\nAnswer: -17*i**3 + 295*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 - 207 = 5*v - 29*g, 4*v - 80 = -16*g for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**5\/60 + 2*p**3\/3 - 11*p**2. Determine z, given that n(z) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 14*l**5\/3 - 80*l**4\/3 + 32*l**3\/3 + 100*l**2\/3 - 46*l\/3 - 20\/3 = 0?\nAnswer: -1, -2\/7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 875 and 1618250.\nAnswer: 11327750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, u: 9}. Give prob of picking 2 u.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((400\/36)\/5)\/(14\/315). Solve -34 - i = -14*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50 + (-420)\/10)*(-102)\/(-48).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244636603?\nAnswer: 2027, 120689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1250 and 550.\nAnswer: 13750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -23369\/88 (b) -1 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m - 11. Let h(w) = 4*w - 21. Let l(c) = 4*h(c) - 7*t(c). Let n be l(6). Suppose -a + 54 = -z + 6*z, 20 = 4*z - n*a. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5*(2*sqrt(171) + sqrt(171)))\/((sqrt(144) - sqrt(9))*3).\nAnswer: 5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1232212120200 - 0?\nAnswer: -1232212120200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 2*b**2 - 2*b - 1. Let l be j(-1). Let f(o) = o**2 - 5*o + 1. Let s be f(4). Let y = -5782\/17 - -340. Put y, l, s in decreasing order.\nAnswer: y, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 6. Let f = 0.2 + -0.9. Let h = f - -0.8. Which is the closest to -0.1? (a) 6\/7 (b) h (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 0, -43*f = u - 45*f + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -828346 (base 10) to base 15\nAnswer: -115681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 629845?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 488, 977, 1468, 1961?\n\"Answer: b**2 + 486*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -1\/6*u**3 + 0 + 0*u**2 - 44*u. Let o(r) = -37*r - 1. Determine m(o(t)).\nAnswer: 37*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6021715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 17*j**2 + 20*j + 37. List the prime factors of p(-19).\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -1924, -0.093 in decreasing order.\nAnswer: -0.093, -2\/13, -1924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*l + 5*l + 20*l.\nAnswer: 54*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 992 = 15*j + 152. Suppose -l + 9 + 0 = 0. Let d = l + -2. What is the greatest common factor of d and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3591339099 to the nearest integer?\nAnswer: 1531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 12 = 4*r + 2*b, 2*r + b = 12. Let o = r + 8. Suppose 5*i = z - o, 3*z + 0*z - i - 28 = 0. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 885 = 380. Let z = o + -1768\/7. Suppose 2*w + 2*w = 3*d + 23, 0 = d + 5. Which is smaller: z or w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b - 8. Let f be l(-6). Let h(a) = -3*a - 14. Let u be h(-6). Suppose g - 59 = -f*d, 26 = u*d - 4*g - 18. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, 7.4, -0.5, -4, 3?\nAnswer: 7.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*o**5 - 39*o**4 + 15862*o**2 wrt o.\nAnswer: -1680*o**2 - 936*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 41*b + 19. Let a be q(14). Let r = a - -761. Let y = -1 + 8. Calculate the lowest common multiple of r and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -1\/24*d**4 + 0 + 3*d**2 + 0*d + 7\/6*d**3. Calculate p(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 868768049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10764 - 10764.0002824. Round n to five decimal places.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -52 + 60. Suppose -b*i + 15*i = 49. Suppose -6*r + 3367 = i*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 35.7286342.\nAnswer: 36.7286342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 z, and 1 f when four letters picked without replacement from {x: 3, z: 2, j: 4, o: 7, f: 1}?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 5)*(-2*z - 2*z + 2*z)*(-z**2 + z**2 - 14*z**2 + 7*z).\nAnswer: -112*z**3 + 56*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**7\/210 - 7*m**4\/24 + m**2. What is the second derivative of w(p) wrt p?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 43*a*k**3*t**2 + 2*a*t**2 + k**3 + 20*k**2 - t**2 wrt a?\nAnswer: 43*k**3*t**2 + 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2be15 (base 16) in base 4?\nAnswer: 223320111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in micrometers?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 9*a**2 + 10*a + 4. Let q be c(-10). Suppose 0*x - 2*x + q = 0. Suppose -x*t + 37 = -113. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/6 - 149*d**2\/2 + 22201*d\/2 - 3307949\/6.\nAnswer: (d - 149)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*b + 138. Let o = b + -28. What is the greatest common factor of 18 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 - -40. Which is the closest to i? (a) -0.3 (b) -20 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1212, -1236, -1284, -1356, -1452, -1572?\nAnswer: -1716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 6. Suppose -z + 33 = 2*z. Suppose l*q - 17 = z. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34243 is divided by 326?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 25290, -2, -1, 4 in decreasing order.\nAnswer: 25290, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6 - 10 - -3) + 3*-1. Sort 0, -5, y, -1 in ascending order.\nAnswer: -5, y, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73721 divided by 96.\nAnswer: -73721\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -4*b + 4, o + 4*o + 19 = b. Let z be 137\/204 - o\/(-36). Is 1 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 16*h + 6. Let i(y) = y**2 - 11*y - 4. Suppose 0 = k + k + 14. Let z(a) = k*i(a) - 5*o(a). Suppose -17 = 5*s - 7. Calculate z(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2570236 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1473\/2)\/(12\/24). Suppose -x + 208 = -5*t. Suppose 2*b + 96 = 4*d + 3*b, -d + 4*b + 7 = 0. Calculate the highest common factor of t and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/8 of a gram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 47 = -5*n, 13*n + 5*s + 53 = 10*n. Which is the nearest to -1\/3? (a) -3 (b) n (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -118\/227?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**2 - 590174490*g + 1180349000 = 0 for g.\nAnswer: -118034900, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*(j\/((j**(-1\/7)\/j*j)\/j)*j)\/j*j*j*j)**(-18))**6 assuming j is positive.\nAnswer: j**(-5400\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 - 12)*2\/(-6). Let g be (-34)\/2 + (-1 - a). What is the tens digit of g\/(-90) - (-248)\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 201351555 (base 6) to base 13\nAnswer: 934016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a factor of 17602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-12)*((-14400)\/140)\/30\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 8*c**2 - 5*c - 11. Is d(-3) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (-33)\/(-105) - (32\/(-14) - -2). What is the closest to -0.27 in l, -5\/3, -4, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-2) - (-2 + (-1672)\/(-143) - 10)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 11:25 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*n - 218*n - 234 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 945914909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u**(-1\/15)\/u))\/u**(-4\/13))\/((u\/(u\/u**10))\/u)**19 assuming u is positive.\nAnswer: u**(-32687\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 31*o - 40. Give d(33).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4.5 (b) -113 (c) -4 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 232335.1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/8*t**3 - 1\/8*t**2 + 1\/4*t + 0 = 0. What is t?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i + 26. Calculate x(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3)*-2 + sqrt(3))*6 + (-2*sqrt(300) - sqrt(300) - ((-2*sqrt(3))**2 + 2)) + 1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 smaller than -461747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 2*d + 9. Let a = d - -11. Solve -5*t - 3 - a = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -31, -131, -303, -553, -887, -1311, -1831, -2453?\n\"Answer: -y**3 - 30*y**2 - 3*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -20*(-2)\/26 - 2. Let f = 383 + -381. Let r be (f - -2)*(-7)\/70. Which is the third smallest value? (a) 3\/4 (b) r (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21 and 11?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 16*l**2 - 68*l + 49. Let n be i(6). Sort 9, n, 0, -4, -1 in descending order.\nAnswer: 9, n, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -714 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204 and 36651014?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 18*g**2 + 6*g**2 + 14 + g + 10.\nAnswer: -12*g**2 + g + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -55 (base 11) to base 14\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 1. Let u(p) = 4*p - 4. Let f(s) = 5*j(s) + u(s). Let v be f(5). Put 4, v, -2 in descending order.\nAnswer: 4, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 799, -2, -4, -9.\nAnswer: -9, -4, -2, 4, 799","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -60978621.76 rounded to the nearest ten thousand?\nAnswer: -60980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 4:36 PM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1314366, -1314370, -1314374, -1314378?\n\"Answer: -4*i - 1314362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6060866*s**3 + 6060889*s**3 + 6060868*s**3 - 18182597*s**3.\nAnswer: 26*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 648 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d**4 - 2*d**4 + 2*d**4)*(-1 - 1 + 4 + (1 + 1 + 0)*(2 + 0 + 2)) in the form a*d**4 + z*d**3 + j + n*d + q*d**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(252)*4*-6 + -3).\nAnswer: 9 + 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8061699 to the power of 1\/2, to the nearest integer?\nAnswer: 2839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -85\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*v + 4*v - 19*v**3 + 2 + 7*v**3 in the form k + a*v**2 + m*v**3 + i*v and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 45775461 take away 4?\nAnswer: 45775457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 4*j**2 - j**2)*((0 + 2 + 2)*(-j - j + 0*j) + 5*j - 5*j + 5*j + (-1 - 2*j + 1)*(-1 + 5 + 0) + (1 + 2 - 1)*(-3*j - j + 3*j) + 2*j - 2*j + j).\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/13)\/t)**(-7\/6))**(7\/10) assuming t is positive.\nAnswer: t**(343\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*n - 4892 - 377. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 566 - 10?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8441 divided by -23?\nAnswer: -367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/(-392)*-28*42\/(-5600)?\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2*-2*(-3)\/(-24)*-6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -52\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + 7\/(28\/(-32)). Let m(g) = g**2 + 2*g - 3. Let n be m(i). Let j be 4 + -4 - (-2)\/(-66). Which is greater: n or j?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31 or -22274\/689?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 288450?\nAnswer: 288450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 + 0*l**2 - 1555*l + 1555*l. Let d(o) = -o**2 - 3*o**2 + 14*o**2. Determine d(b(p)).\nAnswer: 40*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 7*a**2 + 37075*a**3 - 4 - 37077*a**3 - 2*a in the form t*a**2 + x + p*a + r*a**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*o + 27*o = -5780 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4774045.\nAnswer: 5, 191, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10858 and 183?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6250)\/175 + (-1 - (-15)\/21). Which is smaller: g or -33?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 119983313*b*l + 72113202*l wrt b.\nAnswer: 119983313*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -545.28929 to the nearest 10.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 5*o**2 + 2. Let q be p(-5). Suppose -4*t + q*t = 22. Let w = t - -16. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*j - 279*j = -194*j + 912. Which is the second biggest value? (a) j (b) -4 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 22. Sort k, -3, 3 in ascending order.\nAnswer: -3, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 947607049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 24897 to the power of 1\/2, to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 + -24.99991. What is c rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 13\/3 - (-1)\/(-3). Let k be ((-5)\/(-20))\/(5\/(-20)) + -53. Let c be 6 - ((-7)\/21)\/((-3)\/k). Solve 0*s + 4 = 2*s, -5*d - h*s = c for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/7330 and -37\/10?\nAnswer: 7330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -6*m + 2*m**2 - 14*m - 3*m + 15. Let z be t(11). Solve -4*w = -2*w + z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = p + 8. Suppose -p*w + 5 + 23 = 0. Calculate the lowest common multiple of 20 and w.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 420b?\nAnswer: 420b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -328050*b**5\/7 - 3240*b**4\/7 + 328042*b**3\/7 + 3240*b**2\/7 + 8*b\/7 = 0?\nAnswer: -1, -2\/405, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3537 - -5098. What are the prime factors of m?\nAnswer: 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 894.50007 + -895. Let u = 0.5 - 0. Let i = u + y. Round i to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1290, 1635, 2546, 4299, 7170?\n\"Answer: 46*a**3 + 7*a**2 + 2*a + 1235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-140)\/336*-9).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 5. Suppose 0 = -3*v + 32 - b. Suppose z + v = 23. Calculate the highest common factor of 105 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k**4\/4 - 52*k**3\/3 - 285*k**2\/2 - 414*k + 2649. Factor i(f).\nAnswer: -(f + 3)**2*(f + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 8*l**3 + 9*l**2 + 9*l + 17. Suppose 0 = -2*a + 5*a, a = -4*q - 8. Let h(f) = -2*f**3 - 2*f**2 - 2*f - 4. What is q*k(r) - 9*h(r)?\nAnswer: 2*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.5, 0.2, -16, -0.5 in ascending order.\nAnswer: -16, -6.5, -0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 9281598 divided by -111\nAnswer: -83618","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 g, and 1 n when three letters picked without replacement from ngpmxrg?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jpjjjjppjjjjpp. Give prob of picking 4 p.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(475)*-1)**2.\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -481*r + 233*r + 248*r + 47*r**2.\nAnswer: 47*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -2 (b) 0.1 (c) -7249 (d) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 9.6. Let m = -114.81 + 114. Let r = u + m. Round r to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 490496358\/5187 - 6\/(-21). Let f = 94564 - c. Let t = -6\/19 + f. Is t not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4149 + 4137. Let i(p) = -4*p + 45. Let j(r) = r. Let d(h) = i(h) + 5*j(h). What are the prime factors of d(y)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggvvcc. What is prob of sequence gcv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3098 - 3036. Solve -64*b + o*b = -8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -311779, -623563, -935347, -1247131, -1558915, -1870699?\nAnswer: -2182483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 4*m**2 + 3*m + 1. Let d be j(-2). Let x = 21 - d. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -12*w - 6. Give b(4).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - g - 20 = 0. Let m be -1 + -1 - (-4 + 8)\/(-1). Let u(x) = -x + 6. Let v be u(-6). Solve -5*q = -g*c + v, c - 4*c = m*q - 9 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12.7 + 13. Which is the nearest to -3\/4? (a) -0.4 (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01, -0.3, 3\/4, 6.9, -0.06?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**8\/672 - v**7\/70 - v**6\/20 - v**5\/12 - v**4\/16 + 2*v**2 - 105. Find d, given that b(d) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 - 2)*(-4*y**2 + 5*y**2 + 0*y**2).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -45, -147, -317, -555, -861, -1235?\n\"Answer: -34*s**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(3\/2)*h**(-1\/10))**(-1\/73))**(-3\/2) assuming h is positive.\nAnswer: h**(18\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -11. Let g = 4 - -2. Calculate the highest common factor of r and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9698124 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17\/5 + 43\/20. Let h = -2 + 1.3. Let p = h - -3.7. What is the biggest value in m, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 225 - 411. Let g = 250 + f. Which is greater: -0.2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, 0 in descending order.\nAnswer: 2, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1\/5, -6, 14 in increasing order.\nAnswer: -6, 0.1, 1\/5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {a: 4, d: 1, s: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 z, and 1 p when three letters picked without replacement from {f: 4, v: 1, r: 2, p: 3, z: 2, y: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86337 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*y = -5. Suppose 0 = -2*l - y*r + 135, -3 = r - 8. 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 cth term of 64462, 64446, 64420, 64384, 64338?\n\"Answer: -5*c**2 - c + 64468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.179 - -175.179. Let w = 175.01085 - k. What is w rounded to four decimal places?\nAnswer: 0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 90957406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence swl when three letters picked without replacement from {w: 3, o: 6, q: 4, s: 1, l: 2, x: 2}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5 + ((0 + sqrt(500) - sqrt(500)) + 5 + -1*(1*sqrt(500) + sqrt(500)))*-5)**2 + 0.\nAnswer: -5400*sqrt(5) + 50729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -1 + -2 + 22 + -13 + -23 + 41\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - q - 1. Let j(g) = -45*g**3 - g**2 + 1. Calculate j(z) + m(z).\nAnswer: -45*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 + 5*w + 1. Let x be k(-7). Suppose -x = -a - 22. Let y = a + -28. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d + 53 = 161 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 9:54 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -23*l**2 + 24*l - 6. Let z(i) = 24*i**2 - 25*i + 8. Give 5*t(r) + 4*z(r).\nAnswer: -19*r**2 + 20*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 122035 - -34?\nAnswer: 122113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a4635 (base 14) to base 2.\nAnswer: -11100100000100100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000066416 rounded to 7 decimal places?\nAnswer: -0.0000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.193 + -0.193. Let b = 2.05 - 0.05. Let n = b - 1.6. What is the nearest to c in -4, 1\/4, n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1681 by -58011.\nAnswer: -1681\/58011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 263?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(6\/5)*b**(7\/3)\/b)**(-16) assuming b is positive.\nAnswer: b**(-848\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4 = 0, -d + n + 62078 = 3*d. What is the remainder when (18\/(-11))\/3 + d\/220 is divided by 55?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 776 times -473.316?\nAnswer: -367293.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 3*k**4 - 12*k**3 + 15*k**2 - 6*k = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**4\/7 + 14472*x**3\/7 - 14460*x**2 + 101176*x\/7 + 216870\/7 = 0.\nAnswer: -1, 3, 5, 7229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104625?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 4*t + 9 = 0, -2*t = -2*p + 50. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 - 7*t - 5. Suppose 7*l - 10*l = 12. Give n(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 3:53 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000 + 1101?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 5. Suppose 0 = -4*q + 8*q + 12. Let j = l - q. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47899 and 323.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35737 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2630231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/3 + (-106)\/6. Let n = -1 - v. What is the remainder when 27 is divided by 2 + -3 + -1 + n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 136405796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 8:57 PM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 5. Suppose -2*p - 2*p - 2*g + 110 = 0, -y*p + 95 = 5*g. Suppose p = -5*t + 10*t. Let a(i) = i - 4. Give a(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2519*q = 2531*q - 84 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*v - 19, 2*d - 12*v = -7*v + 26. Calculate the smallest common multiple of d and 398.\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.28 (b) -20 (c) 8\/11 (d) 17\/2 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -372271 + r**3 - 8*r**4 + 7*r**4 + 371435 to l + k*r**4 + q*r**3 + w*r + n*r**2 and give l.\nAnswer: -836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -9\/10 (c) -3 (d) 2\/7 (e) 9.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45*(-3)\/(-18)*1\/(25\/(-30)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 4*m**2 + 3*m)*(-m + 4*m - m + (-2*m + 0 + 0)*(-3 - 2 + 3) - 3*m - m + 3*m).\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 154 and 862510.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 9 + 10*z to r*z + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175*g = 2*k + 178*g - 44, 4*k = 5*g + 110. What is the remainder when k is divided by 2\/4 - 25\/(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -1) + (-4 - (2 - 7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + 14. Let n be b(-13). Let t = 2 + 1. Solve -t*u - 2 = n for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 3 = 2*i - i, 2*i - 362*r = -366*r - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15682 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a + 4. Let t be z(0). Let w be 1634\/18 + t\/18. Suppose -3*k + 322 = w. List the prime factors of k.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5*a - 52. What is the least common multiple of 111\/15 + (-2)\/5 and a?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11716, -11858, -11998, -12136, -12272, -12406, -12538?\nAnswer: -12668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*(t\/(t*t**(1\/7)))\/t*t**40*(t**1)**(-21) assuming t is positive.\nAnswer: t**(132\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4941 and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (524\/10)\/((-11)\/(-55))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4746 = -47*r - 1127. What is the remainder when r is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 13) in base 9?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 28*q - 158. Let b be c(8). Solve -y - 5 = 2*w, -b*y = 2*y - 2*w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10429488 and 3726.\nAnswer: 93865392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -28*t**3 + 1284*t**2 + 19672*t + 2784 = 0. What is t?\nAnswer: -12, -1\/7, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -107 or -116176\/17?\nAnswer: -116176\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4851*0.308.\nAnswer: 1494.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2582.2199908 - -2582.33. Let l = -2.31 - -2.2. Let z = v + l. What is z rounded to six decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 8.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 341, -4, -10, -0.0517 in descending order.\nAnswer: 341, -0.0517, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 334880729.\nAnswer: 163, 2054483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -26\/11, -0.3?\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(544)*-1)\/(sqrt(4)\/sqrt(2)*2).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 20*h**2 + 19*h + 226. Let o(t) = 9*t**2 + 10*t + 115. Determine -9*o(u) + 4*q(u).\nAnswer: -u**2 - 14*u - 131","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 13*u - 10. Let p be t(12). Suppose -3*g = 4*l - 331, -p*l - 2*g = 3*l - 412. What is the lowest common multiple of l and 4?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(11)*2) + (sqrt(84)\/sqrt(3))\/sqrt(4).\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/92010 and -61\/18402?\nAnswer: 92010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8 + -6)*(-35 + -1). Let y = -42 - v. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**5\/12 - g**4\/24 + g**2. Let p(r) = -r**3 + 50*r**2 - 5*r + 249. Let h be p(50). What are the prime factors of l(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**2 - 24. Let a be t(6). Let d(l) = 4*l**2 - 15*l + 23. What are the prime factors of d(a)?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 507, 1748, 4173, 8178?\nAnswer: 14159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 878968121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 143293 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 12 + -21 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113 = 41*r + 31. Solve 2*a - 6 + r = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137*a = 101*a + 46260. Round a to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (3 + -6)) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**4\/2 - 50*p**3 - 655*p**2\/2 - 760*p - 480 = 0. Calculate p.\nAnswer: -8, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t**3 + 156*t - 156*t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7095 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*z**2 - 329 + 329.\nAnswer: 187*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11372 = 4856*t - 351292 for t.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219*v**3 + 20767 - 216*v**3 + 12839.\nAnswer: 3*v**3 + 33606","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -1\/10*o**5 + 1\/12*o**4 + 0 + 2*o**2 + 1\/3*o**3 - 1\/60*o**6 + 2\/105*o**7 + 0*o. Solve a(p) = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 5 + v - 4 + (-v - 3*v - v)*(-1 + 3 + 0) + 14*v + 21*v - 13*v.\nAnswer: 13*v - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.51055 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 20*b**2. Let i(y) = -5*y**2 + 2*y - 2. Let r(o) = 14*o**2 - 7*o + 7. Let m(k) = -7*i(k) - 2*r(k). Suppose -4*q = -q + 51. Give q*m(t) + 6*h(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -4. Let o be (-1 + -11)*1\/v. Let p = 24 + o. Is 14 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 1:12 PM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j - 6. Let z be c(-6). Find the second derivative of -115*v - 2*v**2 + z*v**2 + 155*v wrt v.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 222 and 1628?\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -245947\/21 + 11711. Calculate the common denominator of f and 47\/933.\nAnswer: 6531","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, 0, -4 in decreasing order.\nAnswer: 0, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 31900 = -11*h. Suppose -11*q - 2*q = 45175. Let t = q - h. What is t rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yhyhhyy. Give prob of picking 1 y and 2 h.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 162305509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15424*g**4 - 203849*g**2 + 1?\nAnswer: -370176*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 723093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfd when three letters picked without replacement from ffbbbbfbdezb?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7.7 * -61.36\nAnswer: 472.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 176.579 * 70.\nAnswer: 12360.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86554.79 centuries to decades.\nAnswer: 865547.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 11*m**2 - 137*m - 54. Let g(k) = 5*k**2 - 65*k - 27. Let d(u) = 13*g(u) - 6*j(u). Determine d(-22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: -0.021 + 0.30675\nAnswer: 0.28575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -9.1 (b) -1 (c) 2\/11 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 19*d - 96. Let b be f(5). What is the common denominator of 3 + b*(320\/115 + -2) and 53\/11?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -227 * -5127.02\nAnswer: 1163833.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 57.01 and 4555.\nAnswer: 4612.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rpppprppprpxxrlxpprp. What is prob of picking 3 x and 1 p?\nAnswer: 11\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 189, 733, 1631, 2877, 4465?\n\"Answer: -n**3 + 183*n**2 + 2*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39 + 36 + 5*s**2 - s - 3*s**2 + (s**2 - s + s)*(-2 + 2 - 2) - 2*s - 2*s**2 + 2*s.\nAnswer: -2*s**2 - s - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 5*k + 24, -3*z - z - 4*k - 16 = 0. Let c(x) = z + 1 + 4*x + 6*x**2 + x**3 - 1. Calculate c(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q - 3 + 3)*(-32 + 37 - 3*q + 2*q)*(0*q**2 + 24*q**2 + 16*q**2) to the form a*q + u + l*q**4 + d*q**3 + h*q**2 and give d.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(2*sqrt(4)*-6) - (-3 + sqrt(528)\/sqrt(11))**2.\nAnswer: -57 + 287*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zic when three letters picked without replacement from {c: 3, g: 3, q: 2, i: 3, e: 1, z: 4}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 = 4*i - 175. Let v = 11\/3 + -4. Which is the second biggest value? (a) 1 (b) v (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1384\/(-8))\/(-8 + 1). Let z = -5305\/224 + c. What is the common denominator of (174623\/496)\/(-43) - ((1 - 4) + 1) and z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-262080)\/80640*(1 - 1 - 2).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 4:43 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -100 + 79. Let a = z + 45. What is the remainder when 45 is divided by a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1340 and 48835?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 2*i + 0*i + 4*i + i - 6*i - 2*i + 4 - 4 - 4*i + 3*i + 3*i + (0*i - i - i)*(-2 - 2 + 2) + 2*i + 2 - 2 + 0 - i + 0)*(i - 5*i + 2*i) + 0 + 0 + 3*i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 3\/8, 3, 57 in increasing order.\nAnswer: -4, 3\/8, 3, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b - 5*b + 3*b + 1 - 1 + b + (4 - 3 - 3)*(3*b + 2*b - 7*b) - 52 + 52 + 6*b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.4705, 1\/5, 16, 10\/9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*q - 19 = q, 4*q - 48 = -2*j. Is 5 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -141 - -140.78. Let m = g + 0.22. What is the nearest to 0.03 in -4, -1\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 + -196\/3. Find y, given that 3*y**4 + 5\/3*y**2 - q*y - 4\/3 + 6*y**3 = 0.\nAnswer: -1, -2\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 220*f + 2294. Determine a(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 = 43*c - 58*c. Suppose 5 = 2*t - v, 16 = t + 5*v - 10*v. Put c, t, -4 in decreasing order.\nAnswer: c, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12143 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2 - d**3 + 0 + 6*d**2 + d - 6*d. Suppose 1 - 4 = -t. What are the prime factors of k(t)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + (0\/(-3))\/(-2). Suppose -15*b + 2924 = -451. Suppose -345 = -x*d + p, -d - b = -3*d - p. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2909*v + 1 - 1 - 2912*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -7*s**2. Let y(v) = -5*v + v + 8*v. Calculate x(y(t)).\nAnswer: -112*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 + 101 = 3*x. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54344623?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 956592?\nAnswer: 2, 3, 7, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4556471\/780 - -174717\/65. Let d = 8537 - z. Find the common denominator of d and 15\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10029, 20061, 30083, 40089, 50073, 60029, 69951, 79833?\nAnswer: 89669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-2 - -16) - -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**2\/4 - 11003*s\/2 + 110055\/4 = 0 for s.\nAnswer: -22011, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -q + 20. Let m = -47050 - -47063. Solve -8*x = -m*x + q for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.2354 minutes in days?\nAnswer: 0.01544125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/2080 and 45\/1456.\nAnswer: 14560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(2\/117)))\/(m*m*(m\/((m*m\/(m*m\/m**(-2))*m*m)\/m))\/m))\/((m*m**25)\/(m*m**(-21))) assuming m is positive.\nAnswer: m**(-5735\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - o - 5*o + 10*o - o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -8*r**3 - 2*r**2 + 10*r - 25. Calculate u(5).\nAnswer: -1025","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6*y**2 + 340*y + 226. Let q be t(-56). Solve -q*d - 144*x = -149*x + 14, 5*x - 32 = -4*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17790073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20005545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 6*u - 2. Let b be t(1). Suppose -160 = 3*w - b*w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3060960 by 87456.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 523 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 5*d**2 - 5*d - 5. Let n be j(-4). Let c = -1076327\/10998 + 5915\/94. Let w = 460\/13 + c. Is n bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88658 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: -522439 divided by 6\nAnswer: -522439\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/14)\/(5\/(-21))*(-630)\/(-84)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (906\/4)\/(6 + 147\/(-28)). Let p = b - 179. What are the prime factors of p?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 36 = -2*z, -z + 7 + 1 = -4*d. Let i be 23 - (z + 4)\/(-2). Solve 6 + 3 = 3*s, 5*s - i = -3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2933 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-56)*4\/2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-15)\/(-20)*-7)\/(3\/(-24)). Let j = -157 - -631\/4. Which is the nearest to 1? (a) j (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 110 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50025 and 5336?\nAnswer: 400200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -7 + 0 + 4*t - 17*t + 20. Let w be l(1). Solve -i = -w*i - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 375695788 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2477*h = 2479*h + 5*n - 31, -5*h - 2*n = -25 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 8\/52 + 2395\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*i = 38*i + 2088. Suppose m + 25*k - i = 29*k, -4*m - 2*k = -4194. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*k + 2. Let b be (-15)\/(-15) - k*1. Suppose b*i = 203 + 199. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjn when three letters picked without replacement from jhhjpjjnjjffhojnh.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**2\/11 + 3688*n\/11 - 1700168\/11 = 0. Calculate n.\nAnswer: 922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/560*20\/(-5))\/((-9)\/60)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5\/7 - 3600*r**4\/7 + 162424*r**3\/7 - 1852132*r**2\/7 - 162426*r\/7 + 1855732\/7 = 0. What is r?\nAnswer: -1, 1, 23, 1754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + d**2 + 3*d - 2*d + d**2 + 2*d + 3*d**2 - 3*d**2 - 2*d**2 + (-3*d + d + 0*d)*(2*d + 2 - 2) + 73*d**2 + 123 - 46*d**2 - 31*d**2)*(-2 - 1 - 4).\nAnswer: 56*d**2 - 861","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135031487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 6:55 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -3*d**6\/20 + 5*d**4\/24 - d**3\/3 + 5*d**2. Let g be p(-4). Round g to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 5*b - 1170. Let f = b - 20. What are the prime factors of f?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10209319 and -831.857.\nAnswer: 10208487.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (17 + -13 - 27) - 61?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-52)\/(-78) + (-102)\/(-9). Suppose 5*c - 4*t - 46 = 0, -z*c + 4*t = -8*c - 40. Calculate the lowest common multiple of c and 21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 816.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -827224\nAnswer: 1\/206806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 x when three letters picked without replacement from {k: 1, x: 11}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47368740, 94737478, 142106230, 189475002, 236843800, 284212630, 331581498?\nAnswer: 378950410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 0.002907545.\nAnswer: -0.402907545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 6*d - 7)*(-2 - 2 + 1) - 16*d - d + 2*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 374d0 + 0?\nAnswer: 374d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**6\/120 + 17*j**5\/60 - j**4\/6 - 3*j**3 - 9*j**2. Is f(-17) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53341100 (base 6) to base 4.\nAnswer: 11332322130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**2 - 68*y + 5. Let u be b(-23). Let r be ((-90)\/(-60))\/(u\/255). Let o = 36 - 56. Which is bigger: r or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44.5 + 2.5. Let l = a + -46. What is the closest to l in 1, -4, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c\/c**(2\/7)))**(-1\/5))**46*(c\/((c*c*c*c**(3\/5)*c)\/c)*c*c**7*c)\/(c*c\/(c\/(c**4\/c))*((c**(-3)\/c*c*c)\/c)\/c) assuming c is positive.\nAnswer: c**(454\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -h - 3*j - 12, j + 4 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-4))\/((19\/(-380))\/(9\/27))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 1 - 6 = 0. Find the second derivative of 3*w**4 + 3*w + q - 1 wrt w.\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 49967b?\nAnswer: 499677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 12*a + 192096 - 192294 = 0 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2392598 is divided by 88606?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -17. Solve 5 = l + 3*k + 16, -b*k = 15 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (44797456\/363)\/16 - (-3 + 101\/33) is divided by 227?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**6\/105 - q**5\/70 - q**4\/21 + 12*q + 19. Let n(w) be the first derivative of f(w). Factor n(i).\nAnswer: 2*i**2*(i - 2)*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -486126?\nAnswer: -486126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**3 - 219*w**2 - 1890*w = 0.\nAnswer: -63, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 1\/2, -2\/117, -2\/11, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30230665933 - 1.4?\nAnswer: 30230665931.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - w - 1)*(3*w**2 - w**4 - 3*w**2) - 5*w**4 + w**5 + 5*w**4 + 4*w**5 - w**3 + w**3 + 3*w.\nAnswer: 6*w**5 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnyynynyyynnn. Give prob of sequence ynyy.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17 - -19)\/(1\/(-5)). Let o(z) = z**2 + 5. Is 10 a factor of o(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 0*k + 2*k**2)*(3 - 1 + 0)*(4 + 15 + 17)*(2 + 2*k - 2).\nAnswer: 288*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -p + 1. Let y(d) = 44*d + 14. Let x be y(-7). Calculate the common denominator of x\/(-99) + (-1)\/3 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 1754 + 1770. Let l(o) = 5*o - 4. Let p(t) = 11*t - 7. What is q*p(w) - 7*l(w)?\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/4)\/2 + 215. Suppose -144 = -8*t + y. Suppose t - 57 = 3*p. Which is smaller: p or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 + 0*r**3 - 6869 - 3*r + 6604 + 3*r.\nAnswer: 2*r**3 - 265","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 + 3058*i + 3 + 3*i**2 - 3058*i - 5*i**2.\nAnswer: -2*i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 12:20 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1575335147 or 1575335146?\nAnswer: 1575335146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d - 4*d + 2, 2*d + 566 = -4*h. Let z = h - -605. Suppose -q - q + z = 2*u, 2*q = -3*u + 697. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 6*c**2 + 68*c - 37. Let k = 28921 + -28933. Give p(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9, 25, 49, 81, 121, 169, 225?\n\"Answer: 4*h**2 + 4*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 392739687.\nAnswer: 3, 1361, 32063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d + d)*(-5*d**4 - 2*d**3 + 2*d**3) + (162*d**4 - 162*d**4 + d**5)*(3 - 1 + 0).\nAnswer: -3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, 1\/6237, 0.2, -2, -2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (68\/(-17) + 3 + 1\/29)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35640245 (base 8) to base 7.\nAnswer: 123300141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 245\/(-35)*(-2)\/2. What are the prime factors of (6\/2)\/1 + (811 - r)?\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12023\/8 - -1510. Calculate the common denominator of 81\/244 and z.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1260 + -1036. Let w = -37 + 51. Calculate the greatest common factor of w and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*b**2 + 143*b**2 - 496*b**2 + 138*b**2.\nAnswer: -92*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 37, 77, 133, 205, 293?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ke when two letters picked without replacement from arggaeakgkea.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + (-5)\/3)\/(-2 - 0)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11304, -22620, -33946, -45288, -56652, -68044, -79470, -90936?\n\"Answer: -o**3 + o**2 - 11312*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-4) + 5\/((-80)\/(-72)). Suppose l*t - 2699 - 2821 = 0. Round t to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21685614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 683*n**2 + 75*n**3 - n**5 + 26*n - 23*n**4 + 2*n**5 - 760*n**2 - 2*n**5 = 0. Calculate n.\nAnswer: -26, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**3 + 4*k**2 - k. Determine h(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 96479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**4\/12 + 149*n. Let m(o) = -50*o - 1. What is j(m(q))?\nAnswer: -2500*q**2 - 100*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33.2 + 29. Let y = 4.1309 + o. Let l = y + 0.06909378. Round l to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0.2 (c) 2\/3 (d) -5 (e) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 192313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w. Let n(k) = -3*k**2 + 3*k. Let y be -20*3\/(-12) - 6. Calculate y*v(q) + n(q).\nAnswer: -3*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 6:08 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 465 = -1461. List the prime factors of c.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -86424770*v**6 - 7269*v**2 + v + 57 wrt v.\nAnswer: -10370972400*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -81899.9 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237 - 99 = -28*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2292746 (base 12) in base 8?\nAnswer: -31321246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82 - 72. Put -0.2, i, -1\/3 in descending order.\nAnswer: i, -0.2, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2256 and 81216.\nAnswer: 81216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 + 53. Suppose -5*k = -3*k - 28. Suppose -3*g + g = 2*l - k, -3*l = g - 11. Solve r*h + 8 = -l*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 779140*h + 17930. Let o(a) = 652*a + 15. Determine 7172*o(z) - 6*x(z).\nAnswer: 1304*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*b = -15*b, 4*g - 80 = 5*b. Let q = g - -51. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15660\/(-783)*(2\/2)\/(-5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/307, -3\/4, 2\/17, -3\/5, 651?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -2c?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3 = 12. Suppose -s*t + 40416548 = t. Suppose 5*o = t + 10645863. What is o rounded to the nearest 100000?\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1962950561 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/6 at least as big as -2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 760457874 to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 78298960 rounded to the nearest 1000000?\nAnswer: 78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13369691 divided by -88541?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 + 92. What is the closest to 1\/5 in -2, -0.1, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 12*s - g = 15, s + 3*g + 17 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6477251?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/4365 and 17\/6984.\nAnswer: 34920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -p + 5, 2*v + 6 = -2*p + 4. Suppose 5*i - i - 18 = -5*k, k - 8 = -3*i. Let p*q + 0 + 1\/5*q**k = 0. What is q?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2624 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: What is -0.0152393 rounded to 3 decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.75 - -0.45. Which is smaller: f or -0.07?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11480912 divided by -19592\nAnswer: -586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, k: 2}. What is prob of picking 2 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(28\/(-2)))\/((-2)\/(-24))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 963, 906, 813, 684, 519?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -1008*y + 24. Let l(t) = 183*t - 4. Determine 28*l(g) + 5*w(g).\nAnswer: 84*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(90))\/sqrt(5) + (sqrt(96)\/sqrt(6)*-3)\/sqrt(8).\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6537.352 decades to months.\nAnswer: 784482.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8450.74 less than -25?\nAnswer: -8475.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -11034*b - 13325*b + 824*b - 7041*b as r + v*b and give v.\nAnswer: -30576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3*f + 124. Let a be (-75)\/(-30) + 3\/2. Let u = f - a. What is the remainder when u is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7432222 and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c + 3*c + 2*c)*(5 - 4 + 1) + (5 + 7 + 0)*(-c - c + 4*c).\nAnswer: 22*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -710, -709, -710, -713?\nAnswer: -718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44116*u**3 + 20647*u**3 + 20475*u**3.\nAnswer: -2994*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.27 + -2.27. Let g = -310 - -2794\/9. Let x = 10\/9 - g. What is the closest to -0.1 in y, 1\/5, x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-39) + 342\/117. Let f be (-10)\/15 - 2\/(-3). Suppose f*u + h*u - 2*w - 2015 = 0, -w + 2694 = 4*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 3551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -88*b**2 + 5*b + 5. Let t(o) = 1364*o**2 - 77*o - 77. Calculate 77*c(y) + 5*t(y).\nAnswer: 44*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 86 = -4*h, 3*p + 4 = p. Solve 0 = 3*l - 5*v + 8, -4*v = 2*l - l - h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9934 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 p = 69 + -34. List the prime factors of p.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -1, 3, 2\/11.\nAnswer: -1, 2\/11, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 242 + -19. List the prime factors of a.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 146?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63.056 + 0.056. Let h = q - -63.0115. Round h to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(((o\/(o**3*o*o))\/o)\/o*o)*o\/(o*o*o**(-1)*o*o)*o)\/(o**(1\/3))**10 assuming o is positive.\nAnswer: o**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 26951 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -95319148, -95319145, -95319142, -95319139, -95319136?\n\"Answer: 3*u - 95319151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 5\/(-1)) + -1. Solve -z*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.13838 + 0.02624. What is i rounded to 3 decimal places?\nAnswer: -0.112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 140 = 4*x. Suppose 0 = 5*i - i - x. What is the third derivative of g**2 + g**2 - 8*g**2 - 2*g**2 - i*g**4 wrt g?\nAnswer: -168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 46*u + 1. Let m(h) = -101*h - 2. Let j(x) = 5*m(x) + 11*q(x). Let c(b) = b + 1. What is 6*c(d) - 7*j(d)?\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39 and 12779?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 + 1228*a**2 - 6*a**3 - 1193*a**2 + 4 + 0 to t*a**3 + u + c*a**2 + v*a and give c.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -3\/8 (b) 12 (c) 2\/47 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 0 + 12 - 4*m - 3*m + 12. Let s be v(-8). Calculate the greatest common divisor of 120 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74490.89 hours to minutes.\nAnswer: 4469453.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 4*n = b - 214, -5*n + 5 = 0. Let i be 12\/(-66) + (5 - b\/(-11)). Put -1, 4, i, 0 in descending order.\nAnswer: 4, i, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/31 smaller than -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, u: 7}. What is prob of sequence uii?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 55, 125, 249, 445, 731, 1125?\nAnswer: 1645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2\/5 - 5029136*f - 7903815283280.\nAnswer: -4*(f + 3143210)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -1644*n - 34529. What is u(-21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*j = 192*j - 38*j - 262 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -5*o + s + 2, -5*s - 4 = 3*o. Suppose -3*w + 7 = 1, -4*n = -5*w + o. Let d(a) = -a**2 + 6*a**2 - a**n + 4 - 3*a**2 + 3*a. Calculate d(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-6))\/((-232)\/(-87)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 235972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*w**3 - 199866 + 199866.\nAnswer: 32*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 l when three letters picked without replacement from luuuuuluul.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1398\/11, -2, -2\/5.\nAnswer: -1398\/11, -2, -2\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691463109 is divided by 1644.\nAnswer: 1641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 107436628 and 419.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -18 - 6. Determine f so that 72*f**2 - 54*f + 2*f**5 - a*f**3 + 77*f**4 + 85*f**4 - 170*f**4 = 0.\nAnswer: -3, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(75) + -1 - sqrt(75) - (sqrt(75) + (-1*sqrt(75)*2 + sqrt(75) - sqrt(75) - sqrt(75))))**2 + ((3*sqrt(528))\/((2*sqrt(99))\/sqrt(9)))**2.\nAnswer: 20*sqrt(3) + 409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 0 + 0 + -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -95531 or 159?\nAnswer: 159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/22 and (-1)\/(-4)*(81\/93 - 3).\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w - 6*w + 3*w + (0 + 1 - 2)*(0 + 0 - w) + 0 + w + 0 + (2 - 3 + w + w)*(17 - 31 - 12).\nAnswer: -51*w + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-6)*(738\/(-32))\/((4935\/140)\/(-47))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 940478 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 - 53 = 20*u. Suppose 0 = -u*v - 3*k + 834, 390 = 5*v - 2*k - 429. Calculate the highest common divisor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 4 (c) 0.6 (d) -775956\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13822 + -15054.9. What is v rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49451 at least -49508?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-32)*2*-4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*w + 9 = 0. Let z = 5 + w. Suppose 3*b + 4*i = -0*b - 3720, 0 = -z*i. What is b rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 81146236 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 6*k + 7. Let t be d(-5). What is the highest common factor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c - 9. Let g be x(-5). Let z be 2 - (-1 - (-8)\/4). Let m = z - g. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 25*a - 28*a + 168806, -126617 = -3*u + 4*a. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.24917401 + 2106.\nAnswer: 2106.24917401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 27 = 4*o - 7, 12 + 14 = -8*o + 10 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 + -32. Suppose -12 = 2*h + 4*a, 0 = h - w*h + a + 2. Suppose -d - 5*x = -34 - 143, d - h*x - 142 = 0. What are the prime factors of d?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -296693 and -0.01?\nAnswer: 296692.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 4*n + 10 + 10, n = 1. Let p be g\/(-9) + 1\/(-3). What is the remainder when 36 is divided by p\/(-2)*(34 + 4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**4\/12 + 11*q**3\/3 + 59*q - 2. Let r(a) = 2*a**2. Give r(f(h)).\nAnswer: 2*h**4 + 88*h**3 + 968*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76 - -142. Let k be 3\/(-12) + b\/8. Is 2\/k - 675\/(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 1222*m + 4877. Let q be c(-4). Sort 2, 1, 0, q, -66 in descending order.\nAnswer: 2, 1, 0, q, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 4\/5 (b) -41 (c) -5 (d) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*c = -1645, 1648 = -10*t + 13*t - c. Let h = -132 + 2. Let s = h + t. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(162) + -2) - (sqrt(162) - -1*sqrt(162)*-4)) + -1 + -1 + sqrt(162) + -2 + (-2 + sqrt(162) - sqrt(162)))**2.\nAnswer: -2592*sqrt(2) + 13378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 10:50 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 3*s**2 + 2*s. Suppose -4*g = 2 + 2. Let f(w) = w. Let i(u) = g*n(u) + 2*f(u). What is the third derivative of i(l) wrt l?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r. Let u(b) = -746*b + 22 + 28 - b**2 - 50. Calculate p(u(f)).\nAnswer: f**2 + 746*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 18*w**2 - 16*w - 22. Let x be p(-19). Which is greater: -78 or x?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 34*k**4 + 10564*k**3 - 13718*k**2 + 3120*k = 0. Calculate k.\nAnswer: -312, 0, 5\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -6. Suppose 15 = 3*j + d. Solve -5*x + 3*x - 13 = 3*c, x + j*c = -9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27.5 - -27. Let g = 67325\/3 + -22443. What is the smallest value in 1\/11, g, m, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 1 + sqrt(1331) - ((-1 + sqrt(1331))**2 + 5)) + 4 + -4 + (5 + sqrt(1331) + 1 + -1)**2)*1.\nAnswer: 18 + 143*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008391 rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1318857 is divided by 124.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - b = 52 + 55, -4*b = 5*k + 263. Let t = k - -185. Let j = -21 + 47. What is the greatest common factor of t and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 186 - 188. Let y(j) = j**3 - 3*j**2 - 3*j + 3. Let o(p) = -p**2 - p + 1. What is x*y(d) + 6*o(d)?\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1066.9 + 1066.3. What is the nearest to 0 in -1\/5, t, -0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -51 and -0.08.\nAnswer: 4.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 48.871mg?\nAnswer: 48871000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*g**3 - 18*g**3 + 44*g**3)*(-2*g + 6*g - 3*g + (1 - 1 + 2*g)*(-7 + 2 + 3))*(-2 - 1 + 4).\nAnswer: -210*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*g + 13 = -5*x - 31*g + 1, x + g = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2141 - -10?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 101 = 25*g + 38*g. Solve 3*o - 40*n = -35*n - 25, 5*n = -g*o + 25 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 0 + 4*s + 0*s**2 - 11\/12*s**4 + 0*s**3. Let f(g) = -2*g. Determine f(w(q)).\nAnswer: 22*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*u**2 + u**2 + 8*u**2 + 2*u to y*u + i + k*u**2 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -2\/3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) 0.3 (c) 28 (d) -2 (e) -66\/5 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -28? (a) 5 (b) 2 (c) 0.3 (d) 13\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 105 + -100. What is the greatest common divisor of 10 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -10000011000101001?\nAnswer: -10000011000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 1. Let l be (-14)\/18 + (b - -1). Let x = 6750 - 26999\/4. What is the closest to 3 in x, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 133 = 2*t - 139, -r - 4*t = -8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63825 is divided by 1933?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 24*f + 41. Let s(h) = 24*h + 34. Calculate -5*j(g) + 6*s(g).\nAnswer: 24*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3202100 - 3?\nAnswer: -3202103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1791052?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -2\/7, 0.8, -1\/2, 2\/167.\nAnswer: -1\/2, -2\/7, -2\/15, 2\/167, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -105 - -270. Calculate the greatest common factor of 15 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llfyf. Give prob of sequence yly.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.65 + 368.65. Let k = -370 + m. What is the fourth smallest value in -0.4, 1, k, -0.24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7555 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 9:02 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (567\/28)\/(-27)*(-1)\/(-2)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*n + 8. Let x be (-2)\/(-1*(-1)\/n). Suppose 4 + 16 = x*w. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*k = -34, -o + 4*k - 42 = -2*o. Suppose -5*n = 4*g - 0*n + 109, 0 = -2*g + 2*n - 50. Calculate the remainder when o is divided by g*(2\/4 + -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1332*r**3 + 2*r**2 - 1346*r**3 + 19 - 3 - 2*r**2 to y*r**2 + q*r**3 + o + x*r and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-2 - 2) - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r + 5. Let t = 17 + -10. Let k = 18 + -12. Let o(f) = -5 + 9 - 4*f - 12 + 4. Determine k*x(w) + t*o(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -755028884*m**5 + 10*m**2 + 3624383*m - 2.\nAnswer: -45301733040*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 788*w + 619*w**2 - 788*w.\nAnswer: 619*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-130)\/364)\/(6\/(-7))*100\/25.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 37052*k + 407573. Let j be z(-11). Let n = -164 + 163.716. Is j <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*a - 391*a + 239*a - 577*a - 892*a**3.\nAnswer: -892*a**3 - 963*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -27*x**2 - 9*x + 9. Let l(y) = 7*y**2 + 2*y - 2. Suppose -477 = 23*i + 30*i. Give i*l(u) - 2*q(u).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.817 rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -101184787 + 6673\nAnswer: -101178114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 = -4*v - 47. Let j be (-5 - -101)*(v\/8 + -1). Suppose 5*g + 13*g - j = 0. Solve 0*z = g*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -379\/646 - 9\/38. Let u = -129\/136 - s. Let z = 0.01 - -0.99. Which is the smallest value? (a) u (b) z (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 2*g + 20, 6*w - 2*w + 22 = 3*g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 742 and 5614.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 84491421 and 32.\nAnswer: 84491453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from {k: 9, y: 3}?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 311371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20110001022 + 202021?\nAnswer: 20110210120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = -n - 2, 4*n = 5*z + 21 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (20 - (11 + 2) - 6)) + 35\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 12*c + 14*c - 199902, -y + 5*c = -99975. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 + 108 = -9*q. Does 74\/15 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/j**(1\/2))\/j)\/((((j*j\/(j\/j**(-2)*j*j))\/j*j*j)\/j)\/j))\/(((j*j**(-3\/7)\/j*j)\/j)\/j)**43 assuming j is positive.\nAnswer: j**(923\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + (1 + sqrt(2448)*-2)**2 + -3).\nAnswer: -48*sqrt(17) + 9790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 201 = 5*f, 21 = -f - 2*h - 21. Let i = 42 + f. Let g be (-26)\/52*(-12)\/(i + 0). Solve a = -2*o - 8, a + 4*o = g*a - 16 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -3*j - 16, -5*f - 31 = -20*j + 18*j. What is the remainder when ((-4)\/(-3))\/(1\/3) is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/8 of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bh when two letters picked without replacement from hhbhhbbhbh?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 p, 1 e, and 1 n when four letters picked without replacement from ppppxpnpeepenoepppp.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 5*j + 6. Let v be z(4). Suppose -2*x - 72 = v*x. Let o = x - -31. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/(sqrt(40)\/sqrt(4)))\/(-1*sqrt(3)*-3).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.717 - 24865245913\nAnswer: -24865245914.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 443149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1259543?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 5*h + 55, -3*f + 0 + 30 = -4*h. Let d = f + -8. Let z(o) be the third derivative of -o**5\/60 + o**4\/6 - 97*o**2. What is z(d)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*114329\nAnswer: 457316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, 5\/2, -1\/4, -2\/65, -4 in decreasing order.\nAnswer: 48, 5\/2, -2\/65, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 1160 + 3536 = -738. What is the remainder when 420 is divided by n?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-seven quarters of a millennium?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 0. Suppose 3*q + q = 2*j - 24, j - i*q = 16. Suppose 2 = 2*z, 0*x - 5*x = 3*z - j. Solve 0 = r + x + 4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(6 + -7)\/(-18). Let 2\/9*g**2 - t*g + 0 = 0. Calculate g.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2312 - -5475. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94072 divided by 336.\nAnswer: -11759\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + 31?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3911*d - 3931*d = -80 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -19*u - 11. Calculate h(-4).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.22040793 less than -0.02?\nAnswer: -0.24040793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4 + 2 = 0. Suppose -2*s = 4*k - 3*k - 37, z*s + 4*k = 58. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8287 + -0.4.\nAnswer: -8287.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*h**2*z + 2543*h**2 - 15*z wrt z?\nAnswer: 8*h**2 - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j - j + 0*j - 2*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74.4 - -76.8. Which is the second biggest value? (a) 3 (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**4*l*l*l*l**5*l)\/(l**(-2\/5)\/l)**(1\/8) assuming l is positive.\nAnswer: l**(527\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*n + 129*n - 85 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -27. What are the prime factors of (-6)\/(4\/(-40)*s)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of u**9\/60480 + u**6\/360 - u**5\/30 - 3*u**2. Let m(v) be the third derivative of z(v). What is the derivative of m(g) wrt g?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127217 is divided by 7951.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (13*(-33)\/(-715))\/((-6)\/15)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -19708.93682 to the nearest one hundred.\nAnswer: -19700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 9*g**2 + 2*g + 7. Let j be r(3). Suppose -13*b + 10 = -j. Solve -p - b = -2*m - 3*m, 0 = 4*m - 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5\/n*n**15*n*(n**(-3\/20)*n)\/n**(-8))**(-29) assuming n is positive.\nAnswer: n**(-16733\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43808 and 12321?\nAnswer: 394272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -65833, -65838, -65845, -65854, -65865?\n\"Answer: -f**2 - 2*f - 65830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 6:53 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + 0 + sqrt(320) + -2 - (sqrt(320) + 2*sqrt(320)*2) - (sqrt(320)*1 + 2 - sqrt(320) - (-2 + -1*sqrt(320))))**2.\nAnswer: 384*sqrt(5) + 5156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 - -71\/5. Let k be 17 + -15 - (-5 + 1). Suppose k*c - 4 - 2 = 0. What is the third smallest value in 0, c, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2. Let f(j) = -j + 19. Determine f(t(x)).\nAnswer: -x**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*j - 26*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -459*b + 63 = -452*b. Solve -m + p = b, 0 = 2*m - p + 3*p - 2 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5068604 divided by 8.\nAnswer: -1267151\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l = 0, 4*u + 5*l = 144. Let g = u + -25. Suppose -12 = 3*j, -5*j - 17 = -4*z + g. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 24525.9252 milliseconds?\nAnswer: 0.000040552125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m - 4. Let i be o(-2). Let v(q) be the first derivative of 1 + 0*q**2 + 0*q**4 + i*q - 1\/15*q**3 + 1\/25*q**5. Factor v(g).\nAnswer: g**2*(g - 1)*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -69*b + 420 - 142*b**2 + 36*b**2 + 32*b**2 + 39*b**2 + 32*b**2 = 0?\nAnswer: -28, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5*d - 61585 - 47971, 2*d - 2*g = 43820. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 61 = 5*b + 119, 384 = 4*k - 4*b. Let d = -89 + k. Solve -4*n - 3 + d = -t, 1 = n for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1386*b**3 + 536*b**3 + 732*b**3.\nAnswer: -118*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h**3 - 144*h**2 - 1352*h + 38375. Determine b(29).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1690.67, 0.3, 0.02, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878119?\nAnswer: 11, 79829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 428.\nAnswer: 2996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-9))**(2\/3))**(-24) assuming a is positive.\nAnswer: a**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89 - 86. Solve -o*r = 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*a - n - 15, 15 = -5*n. Suppose -a*c + 4 = 5*f - 25, 43 = 3*c - 2*f. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -24 + -3 + 17?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 365?\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 77, 21, -149, -439, -855, -1403?\n\"Answer: -a**3 - 51*a**2 + 104*a + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p**4 - 49*p**4 + 19*p**4)*(4*p + p - 2*p) + p**2 + 2*p**5 - p**2.\nAnswer: -112*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**2 + 11*t - 36*t - 19*t + (-2*t + 0 + 0)*(-2*t - 7*t + t) to the form y*t**2 + w*t + p and give w.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -132 (b) -4 (c) 0.2 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 5:28 PM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -298*y + 157. What is the remainder when h(-4) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhuhhuhuhh. Give prob of picking 1 h and 1 u.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6)\/4*(-14930)\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2\/(-1))\/((-8)\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 112\/40 + (-1)\/(-5). Let z(o) = -o**2 + 3*o - 4. Let i be z(l). Let k(j) = j + 4. Let s be k(-3). Sort i, -2, s.\nAnswer: i, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1706 + 287. Let s = -1419.813 - t. Round s to 2 dps.\nAnswer: -0.81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1684263 is divided by 22760.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9958535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2199\/13 + -169. Suppose -y + 2 = 1. Let g be -2 + 4*y\/(-2). Which is the third smallest value? (a) s (b) g (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 207.333 - -693.057. Let q = -878 + z. Let u = 21.5 - q. What is u rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, -9385.\nAnswer: -9385, -7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 3*o + 3 - 5, -5*b - 5 = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 j when two letters picked without replacement from llaalllallajllljlljl.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*m - 2*i = 6, -m = 5*i + 15. Suppose 6 = -m*a + 3*a. Let j(t) = 2*t**3 - t**2 - 1. Is j(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 893 + -885. Solve -2*d - b = -10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 15*p + 9. Let r(x) be the first derivative of 7*x**2\/2 + 4*x + 1. Let f(b) = -6*h(b) + 13*r(b). What is the units digit of f(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)*2 + -3 - ((5*(((sqrt(34) - -1*sqrt(34)) + sqrt(34) - sqrt(34)) + sqrt(34)))\/sqrt(2))**2.\nAnswer: -3828 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1260 + -712. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*t - 16, 2*c + 19*t - 18*t = 4. What is the remainder when 7 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175 divided by -192994?\nAnswer: 175\/192994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*p + 20*p - 4*p**2 + 19*p + 17*p + 28*p - 83*p.\nAnswer: -4*p**2 + 34*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -10. Solve 2*g - m = j + 6*g, g = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -3*n + 18, 4*w = 3*n - 4 - 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 2*m - 3*m + 10 = -5*z, 0 = -3*z - 3*m + 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 6. Suppose -5*u + 4*s = -4 - p, -2 = -2*u - 2*s. Suppose 2*n = -u*n + 36. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, 17, 4 in descending order.\nAnswer: 17, 6, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 3*g + 6, 2*g = 4*q - g + 18. Let b = -947 + 716.1. Let k = 231 + b. What is the second biggest value in -0.11, q, k?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 + 3*d + 24. Let f(y) = y**3 + 6*y**2 + 3*y - 16. Let t be f(-4). Give c(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/11 + 16\/33. Sort -2\/17, -1\/2, 0, a in decreasing order.\nAnswer: a, 0, -2\/17, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m**2*z**2 + 91*m**2 - 20*z**3 wrt z.\nAnswer: -4*m**2*z - 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.3507 from 3.\nAnswer: -0.3507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n**3 + 3350*n + 2*n**2 + 176*n + 6*n**3.\nAnswer: 2*n**3 + 2*n**2 + 3526*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z - 2. Let d be p(-1). Let w be (-28)\/(-88)*1*(-3 - -1). Which is greater: d or w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10518 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-30) + 2\/((-10)\/31). Which is the closest to -1? (a) y (b) 2\/9 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13417 or 13418?\nAnswer: 13418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373527 is divided by 72.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/1013252 and 95\/22188?\nAnswer: 3039756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 900, 896, 890, 882, 872, 860?\n\"Answer: -f**2 - f + 902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3298519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 2. Let z be u(5). Suppose 3*r + 4 + 27 = -w, -4*w = 16. Let g = r - -15. Solve -z*p + g = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -b**8\/112 + b**4\/3 + 19*b**3\/3 - 11. Let f(x) be the third derivative of g(x). Find the first derivative of f(o) wrt o.\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 45, 33, 21, 9, -3?\n\"Answer: -12*s + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14168 and 1837.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49 + -27. What is the greatest common divisor of 176 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 388 and 71877?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1426 - -3602. What is the least common multiple of q and 4?\nAnswer: 2176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 373, 2679, 8935, 21115, 41193, 71143, 112939?\nAnswer: 168555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/7)\/((-1)\/1). Suppose -3*y - 8 + 2 = f. Sort 9, -1, y.\nAnswer: y, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + sqrt(500)*1)\/(sqrt(4) + sqrt(4) + sqrt(196)*-3 + sqrt(4)).\nAnswer: -5*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 divided by 1360.\nAnswer: -31\/680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2685)\/1074 + 22\/(-12) + 8\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 8*o + 3. Let y be w(8). Let x be (3\/9)\/(y\/(-45)). Let s = -6.93 - -7.93. Which is the nearest to 1? (a) 4 (b) x (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1183439.8+-177945.1\nAnswer: 1005494.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3655?\nAnswer: 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((30\/(-6))\/5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 118195 and 5.7.\nAnswer: 118200.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14.93857 - 16.0659\nAnswer: -31.00447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -7 + 9 + 57*k + 0*k**3 + 9 - k**3 - 17*k**2. What are the prime factors of g(-20)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -3\/182 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + -9 - (-7 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 131593034 to the power of 1\/2, to the nearest integer?\nAnswer: 11471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 7*h - 7. Let z(i) = i - 1. Let v(d) = s(d) - 3*z(d). What are the prime factors of v(4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/7))**(-8\/3) assuming t is positive.\nAnswer: t**(32\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 - 51295*c. Let v(t) = 2*t. Calculate v(j(d)).\nAnswer: 4*d**2 - 102590*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 110223 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18061472099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**3 - 4*o**2 - 4*o + 4. Let p(a) be the second derivative of -a**5\/20 - a**4\/4 - a**3\/2 + 3*a**2\/2 + 40*a. What is 3*i(m) - 4*p(m)?\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirty-one halves of a millennium?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 6:44 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19.7 + -20. Suppose 2 = 3*k - 7. What is the smallest value in 5, f, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139*a**2 + 14352 - 51*a**2 - 14354 + (3*a - a + 2*a)*(a + a - 3*a) to r*a + i*a**2 + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1628918, 1628896, 1628874, 1628852, 1628830, 1628808?\nAnswer: 1628786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 115 - 112. Suppose -4*r - r - 4 = 4*i, p = r - 3*i. Let g be (7 - 3)\/(-1*2). Sort -0.07, 0.1, r, g in descending order.\nAnswer: 0.1, r, -0.07, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**3 + m**2 - 2*m - 3. Let c(k) = 2*k**3 + 3*k + 2. Determine 3*c(r) + 2*w(r).\nAnswer: 2*r**3 + 2*r**2 + 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((7*n + 12 - 12)*(-n - 3*n + 6*n) + 2*n**2 - 14 + 15 + 8)*(-3 + 2 + 2)*(0 - 1 + 2) to g*n + q + i*n**2 and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5 = 10. Suppose o = -11*i + 6*i. Are 3\/2 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75106.08 decades in centuries?\nAnswer: 7510.608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q + 35 = -11*q. Let p(d) = -d**3 + 6*d**2 - 7*d + 6. What is p(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u = -20*u - 84. Suppose 77 + u = 42*n. Let x be 0\/((-3 + 1)\/2). Put x, n, -3 in descending order.\nAnswer: n, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**2 + 14*h**2 + 4*h**2 to p*h + i + k*h**2 and give k.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*y - 1339 + 1513 = 0. Let a be -1 - ((-2)\/2)\/1. Put -8, y, a, -3 in decreasing order.\nAnswer: y, a, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 12:03 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4234, -8112, -11992, -15874, -19758, -23644?\n\"Answer: -v**2 - 3875*v - 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 14*t**2 + 7. Calculate i(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-345)\/1840 + (-77)\/(-2288) - (-569)\/65?\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7\/3*y**5 + 32\/3*y**4 + 9*y + 2*y**3 + 0 - 24*y**2 = 0. Calculate y.\nAnswer: -3, 0, 3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 37*a + 588. Let d be t(-15). Calculate the greatest common divisor of d and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192737.9 plus 1.3?\nAnswer: 192739.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 15 + 12. Let u(a) = -4*a**3 - 3*a**2 - 4*a - 5. List the prime factors of u(s).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y - 6*y + 4*y.\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 2*p = -160. Let u = -22 + p. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14924 and 7364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14431, 28764, 42995, 57124, 71151, 85076?\nAnswer: 98899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(42)\/sqrt(54)) + 0.\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537842991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/18*(-4 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 3 = 6*s. Suppose 5*d + 0*d = 20. Solve -d = s*w - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -1, -74.7, -4, 1\/6, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h**2 + 4*h - 5. Let x(i) = i. Let u(k) = -k**2 + 2*k - 1. Let g be (-40)\/50 + (-1)\/5 + 2. Let p(c) = g*x(c) - u(c). Calculate l(a) + 3*p(a).\nAnswer: -2*a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -20. Let f be s\/(-3) - (-1)\/3*3. Suppose f*w = 3*o - 236, -4*w - 34 = -o + 47. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -707\/12 + 715\/12. Suppose -j*o**2 - 2\/3*o**3 + 0*o + 0 = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/16 + (-89)\/(-4). Let x be (-1)\/(20\/(-90) + 38\/198). What is the greatest common factor of w and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/46, -2, -2.8, 4?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + a - 5 - 12 = 0, -4*a = -b. Find the first derivative of 2*n + 6 + b*n + 0*n wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + t + 1. Suppose -6*d - 8 = 4. Let j(b) = -4*b**2 - 2*b - 2. Give d*n(v) - j(v).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -545228033 take away 20.4?\nAnswer: -545228053.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 10*g + 6. Suppose 3*w + 0*w + 27 = 0. Let u be z(w). Let a = 362 + -257. Calculate the highest common factor of a and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 523 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 126 - 123. Suppose 0*b - v - 9 = -2*b, -b = o*v + 13. Solve -n - p - 3 = 0, n - 3 = p + b for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1166)\/165 - -7)*3\/1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -664517 (base 10) to base 5.\nAnswer: -132231032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1332 (base 10) to base 12\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of -3*a**2\/2 - 1. Let w(x) = 1376*x**2 - 688*x**2 - 690*x**2. Determine m(w(d)).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4 - 8 + 2 + 7 + w - 3*w. Let m(q) = -4*q + 9. Let x = 1 - 7. Let d = x + 9. What is d*m(l) - 5*g(l)?\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -15*r**2 + 0 - 67*r + 5\/12*r**4 + 25\/6*r**3. Factor t(g).\nAnswer: 5*(g - 1)*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 + 14. Let x = 1 + d. Let f be (3 - -1)*(2 + -1). What is the nearest to -1 in 3, x, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -1 - (-31 + 2 + 11 - -39)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12206724191 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x - 29. Let b be a(-7). Let f = 1 + 7. Let v be (f - 12)*1\/(-2). What is the nearest to b in v, 4, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/160 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 136459248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (229\/(-1145))\/((-6)\/20). Let j = 2.95 - -0.15. Let y = j + -0.1. Which is the closest to -1? (a) s (b) 0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115 - 75230237.\nAnswer: -75230352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.15 + -90.15. Let y = -49 - n. Let g = 40.9999966 - y. Round g to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 190 and 370130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 5)\/5 - -2. Suppose 142 = 11*z - 6*z + 4*k, -l*z + 5*k + 63 = 0. Is 26 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 567 and 1890?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 20*j + 80. Let w be m(-24). Let v = 41 + -27. Is v + (-4)\/(w\/12) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 4*w**2 - w - 3. Let f be v(2). Let h(b) = b**2 - 2*b - 3. What is the tens digit of h(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33225 and 52962865?\nAnswer: 2215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*l**4 - 202*l wrt l.\nAnswer: 420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-10) - 197\/(-60) and (-282)\/(-140) + (-4)\/60*3.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d + 13 - 7*d - d - 3*d + 2*d**2. What is the remainder when f(-8) is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8 + 0 = 0. Suppose 3*h = m + 2, -v*h = -3*h + 3*m + 6. Let k be (2\/(-1))\/2*1. Is k not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 + -93 - ((5 - 6) + -55 + 0)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1407\/49 + (-2)\/(-7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 764 (b) 3 (c) 55\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1676616*d**5 + 2138169*d wrt d?\nAnswer: 33532320*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*l + 12. Put l, -2, -4, -5 in ascending order.\nAnswer: -5, -4, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 11 = -6*h. Which is the closest to 0? (a) -0.3 (b) h (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13644 - 2?\nAnswer: -13646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -85470000 to the nearest 1000000.\nAnswer: -85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 4*b**2 - 4*b - 1. Let q be z(5). What is the second derivative of -5*k**q - 85*k**2 + 2*k + 85*k**2 wrt k?\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7077*f**2 + 1760*f**2 - 5869*f**2 - 2113*f**2.\nAnswer: -13299*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -93453 divided by -78\nAnswer: 31151\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -93a7 + -5?\nAnswer: -93b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v**3 - 4*v**3 - v**3)*(-21780 - 14038*v + 21780).\nAnswer: 28076*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.15288774096 + 3199.00738324096. Let f = -3274.85451 + z. Let n = f - -76. What is n rounded to six dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h. Let n(z) = -z**3 + 8*z**2 + 3*z - 20. Let p be n(8). Let o(f) = f - 1. Determine p*d(g) + 2*o(g).\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 30*o**3 + 4*o**2 - 4*o. Let j(v) = -91*v**3 - 13*v**2 + 13*v. Let w be (-78)\/(-65) - (-639)\/(-45). Give w*a(g) - 4*j(g).\nAnswer: -26*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-8 + (2 - -2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61.548 + -81.5375. Let t = h - -20. Round t to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.6209 - -401.1071. Let y = 410 - h. Round y to two dps.\nAnswer: -0.73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/10 + (-9)\/(-10). Let h(f) = 4. Let d(b) = b - 15. Let i(j) = -2*d(j) - 9*h(j). Let r be i(-4). Is v smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 1030*z**3 + 4*z**2 + 3*z + 4. Suppose -5*u = -2*t + 8, -5 - 7 = -3*t + 2*u. Let p be n(t). Round p to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15839150?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/7 + 0*x - 1\/7*x**3 + 3\/7*x**2 = 0. Calculate x.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.5617 rounded to one dp?\nAnswer: -11.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 848 - 426 + m**3 - 422.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -41017516 + 4?\nAnswer: -41017512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -40, -51 in increasing order.\nAnswer: -51, -40, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, m: 1, e: 2, c: 1}. What is prob of sequence ceed?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f - 10. Give w(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - 2*21\/3. Let m = 0 - j. Is 15\/3*(m + -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108 - 104. Let b = 62 - n. Calculate the remainder when b is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-2 - -3 - 4)) + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 3 - 3)*(-5 + 3 + 4) + 3 - 2 - 3 + 0 - 1 + 0 + 29 + 34 - 10 - 1 - 2 + 5 + (-3 + 1 + 0)*(5 - 2 - 1) - 3 + 1 + 1)*(-x - 3*x + 2*x).\nAnswer: -102*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/705 and 20643\/1880 + (4 - 14 - 1).\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63 = 13*n + 76 - 9 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12392*d + 0 - 4 - 32*d**2 + 12391*d + (d - 3 + 3 + (1 - 2 + 0)*(-3*d + 2*d + 0*d))*(-3*d + 4*d + d).\nAnswer: -28*d**2 - d - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -110 + 121. What is the third smallest value in a, 2, -9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 l when three letters picked without replacement from {c: 2, l: 6, v: 1, f: 3}?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 27673208987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**0\/r*r*r*r**5\/r*((r*r**(-25))\/r)\/((r\/(r**(-18)*r*r))\/r) assuming r is positive.\nAnswer: r**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 48*u**2 + 1. What are the prime factors of k(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -3 + (-30 - -21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 47 = 3*f. Let g = -41 + f. Suppose -4*u - 2*z = -16, z + 5 - 3 = 0. Put g, 1, u in decreasing order.\nAnswer: g, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.098823 milliseconds to nanoseconds.\nAnswer: 2098823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/210)\/(7\/28)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -216453552 (base 7) to base 6\nAnswer: -1145343223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1059 = 42*n - 1881. What is the highest common factor of 40 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 362 - 105. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.14, -0.2, 0.018211?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m = 5*p - 113, -p = -3*m - 16. What is the remainder when 274 is divided by p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -6*n + 7*n. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a - 4. Let g = 1 - 5. Let b be p(g). Put b, -1, 5 in decreasing order.\nAnswer: 5, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28\/995 or 1?\nAnswer: 28\/995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/((-30)\/(-4) + -6) + -48*(-4)\/(-6)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fnffffnn?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33.14 - 33.12. Let m = 1.29 + -0.29. Which is the nearest to m? (a) g (b) 3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 54*m + 1961. Determine p(-36).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) 0.00205 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.191 - 0.21. Let u = 39.481 - z. Let i = u - 40. Which is the smallest value? (a) i (b) 3\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, a: 5, e: 2}. What is prob of picking 1 a, 1 g, and 1 e?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17602046, 35204093, 52806140, 70408187, 88010234, 105612281?\n\"Answer: 17602047*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 8*m + 315. What is the smallest common multiple of 6 and w(-33)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 14\/181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-7)*(-6)\/(144\/(-56)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 a when two letters picked without replacement from {n: 2, q: 1, c: 1, s: 3, k: 3, a: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 651 + -434. What is the remainder when w is divided by 68?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 56*u - 10 - 2.\nAnswer: 56*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 4*o**2 + 2*o + 6. Let b be t(3). Let r be -115*(30\/(-5))\/6. Suppose 8*s - r = b*s. Calculate the remainder when 112 is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 44, 76, 114, 158?\nAnswer: 208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 5:39 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*u + u = 436, 0 = 5*c - 4*u + 544. Let k = -20 - c. What is the remainder when k is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 8017*v**3 - 100*v**2 + 5*v + 3. Let r(c) = -12026*c**3 + 140*c**2 - 7*c - 4. What is 7*a(s) + 5*r(s)?\nAnswer: -4011*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-2) + (-21)\/252*12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 960, 7574, 25526, 60486, 118124, 204110, 324114?\n\"Answer: 945*y**3 - y**2 + 2*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 14 = -1. Suppose -w + 0*w + 3*j = -12, 3*w - 36 = m*j. What is the smallest common multiple of 22 and w?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - -4. Suppose -2*y + 7*s = 4*s - w, 3*y = -2*s - 8. Suppose 0 = -4*f - 3*x + 112, y*x + 84 = 3*f + 2*x. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 728876 to the nearest integer?\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22090, 22084, 22066, 22030, 21970?\nAnswer: 21880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -73.7 and -310.\nAnswer: 22847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/19544710 and 57\/322.\nAnswer: 136812970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4246 - -10072. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**3 - 8048*b + 8048*b.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3767 + -2647. Let k = 1116.621 - l. What is k rounded to 1 decimal place?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -3 - -7 - 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -29224161.\nAnswer: 5\/29224161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -163\/2 - -80. Let f = -5.2 - -5. Let a = -1.5 - -2. Sort s, f, a in descending order.\nAnswer: a, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/14)*q*q*q**(-9))\/((q\/(q**(2\/13)\/q))\/q)**(15\/7) assuming q is positive.\nAnswer: q**(-1643\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5264 and 98512?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1893632.\nAnswer: 2, 13, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-8)*2)\/((-5)\/(-4))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - t + 2. Let i be a(0). Suppose s = -z + i, 10 = 5*s - 3*z - z. Suppose 4*c - s*c + 10 = 5*h, 4*c = 4*h + 4. Solve -2*n + h*n - 8 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t - 7. Let m be j(6). Let r = -11 - -16. Suppose i + 13 = -5*l, -5*i + 4*l + r = -m. Which is smaller: 3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, k: 1, d: 7}. Give prob of picking 2 z.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23*f**3 - 20*f + 20*f + (f**3 - 3*f**3 + 3*f**3)*(-14 - 4 + 3)*(0 + 5 + 3).\nAnswer: -97*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32188 and 241410?\nAnswer: 482820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2.63222ug?\nAnswer: 0.00000000263222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 488416.\nAnswer: 5372576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23948 - 646597\/27. Which is the smallest value? (a) -0.3 (b) 2\/5 (c) r (d) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -833 divided by -49.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43205 and 0.1.\nAnswer: -4320.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -1\/3, -28?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 23 + 3 = 0. Suppose -11*x + i = -x. Calculate the least common multiple of 18 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - q + 4*q + 1 = 0, 2*q = -2. Solve 4*d - 13 - 13 = -5*p, 0 = 5*d - a*p - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3221315, 3221313, 3221311?\n\"Answer: -2*k + 3221317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6928383 is divided by 3383?\nAnswer: 3382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 844*a + 1282*a + 6378 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by 1374?\nAnswer: -65\/1374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57059166?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 35, 51, 89, 161, 279, 455, 701, 1029?\n\"Answer: 2*u**3 - u**2 + 5*u + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.08 and 177.\nAnswer: -1076.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 86336.88 rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 2) + (-5 + 2 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 20*o - 25. Let f be i(-21). Let x(v) = 6*v**2 - v + 1. Let d(b) = -5*b**2 + b - 1. What is f*x(m) - 5*d(m)?\nAnswer: m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 333*q - 333*q + 168*q - q + q - q + (1 - 2*q - 1)*(4 - 4 - 2) + 2*q - 4*q + 0*q - 8*q + 10*q - 9*q in the form h*q + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, w: 10, x: 4, z: 1}. Give prob of picking 2 p.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.48 - -0.02. Let p = 3.5 + f. Let q = -3.8 + p. Are q and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112 or -23353?\nAnswer: -23353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - p + p)*(1 - 1 + 3)*(6*p - 2*p - 2*p).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + 3 + 0)*1. Let l be 39 + 10955\/(-280) + 322\/16. What is the greatest common factor of l and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 - 241\/5. Which is the second smallest value? (a) 0.1 (b) f (c) 0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-37050)\/(-1755) + 8\/9. Calculate the highest common divisor of g and 86.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 22*p - 43. Give h(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92398831 + -95645205.9693. Let k = y + 3245848. Let b = k - -527. Round b to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93604 divided by -13.\nAnswer: -93604\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from irbjwoi. Give prob of sequence jw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (39*o + 17*o + 39*o + (1 + 0 - 3)*(2 - 2*o - 2))*(-4*o - 6*o + 9*o + (2 - 3 + 0)*(-2*o + 0*o + 4*o)) to the form v + h*o + w*o**2 and give w.\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 242 + -276.7. Let x = 35 + o. Sort 1\/5, x, 0.9 in ascending order.\nAnswer: 1\/5, x, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 3 - 7. Suppose -2 = r*a + 18. Put 0, a, 6 in decreasing order.\nAnswer: 6, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.86 - -2.4. Let w = x + -0.34. Let c = w - -0.7999856. What is c rounded to six dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 1 + 1. Let x be 4\/(-8) + (-9)\/s. Suppose -3*v + 3*b + 8 = v, -4*v - x*b + 8 = 0. Solve 3*f = -2*u - v*u, 3*f + 18 = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2454980*u**3 - 7850789*u.\nAnswer: -14729880*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9761, 19579, 29409, 39257, 49129, 59031, 68969, 78949?\nAnswer: 88977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 5*a - 18 = -19, -2*z = 2*a - 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**0*d)\/(d**0\/d))\/(d*d*d**(1\/3)*d**3))\/((d**(-2\/7)*d)**44*((d*((d\/(d**3*d))\/d)\/d)\/d)\/d**(-6)) assuming d is positive.\nAnswer: d**(-730\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.351 - -0.049. Let t = y + -0.4. Let m be (1\/2)\/((-51)\/34). Which is the fourth biggest value? (a) m (b) 5 (c) t (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 52*n**2 - n - 144. Give d(-52).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5920\/185*(1\/(-6))\/((-22)\/(-66))*1\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1242, 2516, 3816, 5142, 6494, 7872?\nAnswer: 9276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 + -6?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 PM and 5:18 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of 0*t**4 + 4\/5*t**5 - 4\/3*t**3 - t**2 + 3 + 1\/3*t**6 + 0*t. Determine j so that k(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.93 rounded to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 5*k. Let p(t) = 2*t**2 + 6*t - 1. Let n(q) = -3*c(q) - 2*p(q). Let b be n(3). What is the second derivative of b*h - 3 - 2*h**4 + 3 wrt h?\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43093909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 91*z = 92*z - 7873, 2*l + 3*z - 3157 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 10*v**2 - 9*v + 5. List the prime factors of b(-8).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -75*a**2 + 7*a**2 + 263*a - 263*a - 89*a**2. Let u(k) = 28*k. Determine f(u(b)).\nAnswer: -123088*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 3302792\/(-1344) + 3\/7. Let g = y + 2455. Is 1 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15 (b) 67 (c) -2\/25 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*q**4 - 348545*q**3 + 1394095*q**2 + 348545*q - 1394100 = 0. What is q?\nAnswer: -1, 1, 4, 69705","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*c + 2*c - 15 + 85 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/1 - -2)*(-5 + 2). What are the prime factors of (-492)\/z + (2 + -2 - 2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1233789?\nAnswer: 3, 23, 17881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*t - 128 = -3*n, -3*t = -5*n + 192. Suppose 3*f = 0, -3*b + f + n = -4*f. Solve 0 + b = -4*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 31\/36*o**3 + 13\/60*o**5 + 0 - 1\/252*o**7 + 2\/3*o**2 + 11\/18*o**4 + 1\/45*o**6 + 3*o. Factor l(v).\nAnswer: -(v - 8)*(v + 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.24 - 5.24. Let d = -90 - -84.3. Let o = d + 6. Which is the closest to 1? (a) o (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22464770 (base 8) to base 12\nAnswer: 1772274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 327 = 331 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -3*v**5 - 137*v**4\/4 - 281*v**3\/4 - 181*v**2\/4 - 7*v\/4 + 9\/2 = 0.\nAnswer: -9, -1, -2\/3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**7\/2520 - w**5\/60 - 11*w**2. Let m(h) be the third derivative of j(h). Let a(n) = n. What is 4*a(z) + 3*m(z)?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1257728 (base 9) to base 3\nAnswer: 1021221210222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 2736320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20044 is divided by 393.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-2)\/(-10)*1075\/(-1505)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 h when two letters picked without replacement from {c: 5, t: 1, h: 1, m: 3, i: 1, p: 6}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 141847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -35*b**2 + 9*b. Let l = 97 + -94. Let i(a) = 17*a**2 - 4*a. Let y(s) = l*c(s) + 5*i(s). Find the second derivative of y(t) wrt t.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36707.98 times -3?\nAnswer: -110123.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 + (-8)\/(-2) - -3. Solve f = 4 + a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 3*o + 18 = 0, 7552*o - 7557*o + 30 = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -62.4, 2\/5, 10, 1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 290\/40 + (-77050)\/10184\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**4\/6 - 32114*o**3\/3 - 515654498*o**2\/3.\nAnswer: -o**2*(o + 32114)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wdjnxgw. Give prob of picking 2 w and 1 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2146?\nAnswer: 2, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/2 and -109\/102456.\nAnswer: 102456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 58411, 58412, 58413, 58414?\n\"Answer: s + 58410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -7. Suppose 0 = -3*p - 3*g + w, 22 = -5*p + g + 56. What is the lowest common multiple of 10 and p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403*h - 407*h = -1056. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 11:20 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44547847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*i - 5\/2*i**5 - 45\/2*i**3 + 25*i**4 + 0*i**2 = 0. What is i?\nAnswer: 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 13\/6*q**3 + 10*q + 0 + 0*q**2 - q**4. What is the second derivative of t(o) wrt o?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7812 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(77) - sqrt(77)*-2) + sqrt(77)) + (4*((sqrt(77)*3 - sqrt(77)) + sqrt(77)) - sqrt(77)))\/(3*-5*sqrt(1100)*-5).\nAnswer: -13*sqrt(7)\/750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364133 = -19384*u + 825713 + 313780 for u.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.61322 rounded to 1 decimal place?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three fifths of a microsecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*1\/16)\/((-6)\/(-216)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -429591729*a**4 + 248709281*a**2?\nAnswer: -10310201496*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*-32.\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from llllllaalll?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2352)\/(-102) - 2\/34?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1189 + 601. Suppose 2*a - 2*g = 2*g + i, a - 3*g - 892 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -1)\/((-8)\/88). Is w equal to -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -905*p + 280*p - 1318*p.\nAnswer: -1943*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 40 = -104. Suppose 2*u + s = -6*j + j, u = -2*j - 6. What is the smallest value in -2\/5, j, 21\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93976?\nAnswer: 2, 17, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m - 24. Let l be i(-10). Suppose 0 = -2*d + 6 + 2. Suppose 2*s = d*s - l. Sort 0, -1\/5, s in increasing order.\nAnswer: -1\/5, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289281.\nAnswer: 3, 211, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9.02 and 29404003.\nAnswer: 29404012.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -84, 2, -0.3 in increasing order.\nAnswer: -84, -0.3, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -694c (base 14) in base 5?\nAnswer: -1041141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 13719700 to the nearest 10000.\nAnswer: 13720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3096, -8 in increasing order.\nAnswer: -3096, -8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.1 + 3. Suppose -12*o + 34 + 86 = 0. What is the third biggest value in o, 1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-3 - -2)) + 1 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12545 by 193.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 - 5. Suppose 52*v - w*v = -52470. Suppose 0 = 8*j + 3*j - v. Round j to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/20 and -77\/4530.\nAnswer: 9060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = 251 - 323. Calculate the remainder when 131 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f - 18 = -9*f. Suppose -787 = -f*d + 5*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 4*d + 3, -d = 4*j + 3*d. Let a(k) = -k**3 - 19*k**2 + 46*k + 87. What is the lowest common multiple of a(-21) and (1 + j)\/(4\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 169*k = 174*k - 20540, 3*k = 2*s - 8221. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 4*j**2 - 2*j + 7. Let s be f(-3). Suppose -14*k = -15*k + s. Sort -2, k, 2 in decreasing order.\nAnswer: k, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 36*i**3 - 2*i + 5. Let r(g) = 35*g**3 - 3*g + 6. Give -6*m(l) + 5*r(l).\nAnswer: -41*l**3 - 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/9 (b) 36 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.14 + 1.74. What is the smallest value in -1.5, m, 0.5, 2\/5, -1?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 761 is divided by 47.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88705?\nAnswer: 5, 113, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*t - 11*t = 141*t + 4136. Which is the second smallest value? (a) -2 (b) t (c) 4\/5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8873 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*18\/60*2*6\/27.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h + 7 - 8 - 3)*(0*h + 0*h - 2*h**2).\nAnswer: -14*h**3 + 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 15*c**2 - 90*c + 233. Let y be g(6). Solve 0 = y*i - 14*i + 3*v, -5*i + 3*v = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -7*n**2 - 7*n + 1. Suppose -h - 1 + 3 = 0. Suppose 4 = -5*y - 16. Let j be (-1 + -1)*10\/y. Let l(a) = 3*a**2 + 3*a. Determine h*k(f) + j*l(f).\nAnswer: f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-3\/2)\/h))\/((h**(2\/9)\/h)\/h))**31\/((h**(-5\/4)*h*h**(-6\/5))\/((h*h\/(h*h*h\/(h\/(h\/(h*h\/h**(-2)))*h))*h*h)\/h**(1\/14))) assuming h is positive.\nAnswer: h**(215447\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*n - 7837 = 0, -183*n + 185*n - 23495 = -3*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2040 = -3*w, -4*k = -5*w - 188 - 1844. What are the prime factors of k?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(5) + 4 + 2 + sqrt(5) + 0)**2.\nAnswer: 28*sqrt(5) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2cc (base 15) in base 16?\nAnswer: -282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12862431 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, p: 6, q: 3, s: 3, c: 3}. What is prob of picking 1 q and 1 p?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzrzzzzzzrzrzrzr. What is prob of sequence zrr?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 60*i - 19451. Let l = 366 + i. Sort l, -63, -2, 4 in ascending order.\nAnswer: -63, -2, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 261 + -246. Solve 5*a + 2*n + n - 11 = 0, -5*a + i = 5*n for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 + -2 + 1 + -2. Suppose 26 + 10 = v*l - 2*a, -3*a = 3*l - 9. Let n(g) = g**2 - 5*g + 1. Determine n(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwow when four letters picked without replacement from wwwwwwwoowowoowwow?\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 f, and 1 c when four letters picked without replacement from {x: 3, c: 2, o: 5, f: 3}.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.42544 and -135.\nAnswer: -135.42544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110010010100110 (base 2) to base 5.\nAnswer: -1311031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0 = -5. Let w(c) = -c**3 - 3*c**2 + 4. Let o be w(-3). Solve -5*v + 0*p + f = -2*p, 0 = -v + o*p - 7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1224497?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5 + 26*o**4 + 24*o**3 - 26*o**2 - 25*o.\nAnswer: o*(o - 1)*(o + 1)**2*(o + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 176652 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 < 1\/301251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -10200021220 (base 3) to base 2\nAnswer: -10001101011000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of 1037*w**4\/4 + w**3\/3 + 263*w - 1393. Find the third derivative of v(r) wrt r.\nAnswer: 6222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -125*u - 112. Let s be i(-1). Solve 10*m + 4*c - 1 = s*m, 4*c - 7 = 5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-46936)\/11)\/(-4) + -3. Let c = x - 1060. What is the common denominator of c and 47\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -4002\/5 (c) -1.6 (d) -2 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 - y. Let i be w(1). Let s = -5924 + 5924. Let c be 1\/2 + 1\/(-2). Solve n - i + s = c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -73716516 - 5?\nAnswer: -73716522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 286830991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151897, -303791, -455685, -607579?\nAnswer: -759473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-18))\/((40\/(-36))\/5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 374 and 3553?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/24467 at least as big as 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - 2. Let m(i) = i + 5. What is m(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -7 - 20*p + 19*p + 1. Let n be d(-7). Solve 2 = -s - n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + h)*(-10*h**3 - 14*h**3 + 7*h**3).\nAnswer: -17*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -11. Suppose m*x - 356 = -x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 2) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*((q**(-4)*q)\/q)\/q)\/(q*q**(-1\/5)*q))**(-1\/4) assuming q is positive.\nAnswer: q**(29\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 637\nAnswer: -1274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 51 = 7*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 1)*(-39)\/78. What is the smallest value in 49, 1, 1\/8, d, 2\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -107381*m**2 + 161558?\nAnswer: -214762*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3 - 28. Suppose 10 = -h*p - 0. List the prime factors of (2\/3)\/(p\/(-33)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*p + 112*p = 55 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 1897.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + c - 9. Is c\/3 + (-66)\/(-3) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-545400)\/(-10908)*(-36)\/15?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3998 - -5.3993. Let o = -5 + r. Round o to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 92, 547, 1312, 2393, 3796?\n\"Answer: k**3 + 149*k**2 + k - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**5 - 2826*x**4 - 1999389*x**3 - 3979016*x**2 + 5981232*x = 0.\nAnswer: -1412, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**5\/60 + 7*r**4\/12 - 2*r**3 - 9*r**2. What is the tens digit of o(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -122 + (-24 - (-42 + -15 - -41)).\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 3*b = -0*a - 6, -a - 2 = b. Suppose 63 = -a*t + 7*t. Solve -2*c = -1 + t, 0 = -5*w + c - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-198)\/(-204))\/11*56\/84\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 97*z**2 + 246*z - 13. Calculate k(-3).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 24 + 6 = 0. Suppose 0 = -3*f + g + 2*g - q, 0 = -5*g + 25. Let o = -1 - f. Is -3 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-20)*(3 + -1). Let w = 101.1 - 19.1. Let n = w - 84. Which is the closest to -1? (a) l (b) -0.4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -12*x + 17*x. Calculate the greatest common divisor of x and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -4, 9 in ascending order.\nAnswer: -28, -4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -21*d**3 - d**2 - d - 1. Let a(c) = -21*c**3 - c**2 - c - 1. Let u(z) = 7*a(z) - 6*r(z). Is u(-1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 241 + -3359\/14. Let l(j) be the first derivative of -3 + 1\/14*j**6 + x*j**4 + 15\/14*j**2 - 3\/7*j - 3\/7*j**5 - 10\/7*j**3. Factor l(y).\nAnswer: 3*(y - 1)**5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3880.585 or 1\/5?\nAnswer: 3880.585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -240 and -120.6?\nAnswer: 119.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -6, -7, 6.1, 1\/2, -5, 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 676564288.\nAnswer: 2, 41, 257837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v**3 - 4*v**2 + 4*v + 4. Let g(z) = -95*z + 7 + 17*z**3 + 3*z**2 - 4*z**3 - 12*z**2 + 2 + 104*z. What is 4*g(i) - 9*x(i)?\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjigsssjsjgjjgzi. Give prob of sequence zj.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**3 + 5*j**3 - 3*j**3)*(1 - 1 + 2*j**2) - j - j**4 - 102*j**3 + 102*j**3 + 19*j**5.\nAnswer: 21*j**5 - j**4 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51257, 51258, 51259, 51260, 51261?\nAnswer: 51262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/16 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o + 2*o)*(-181*o**2 + 86*o**2 + 22*o**2).\nAnswer: -146*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1704 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 - 11724*w**2 + 21972546*w - 13338479728.\nAnswer: 2*(w - 2744)*(w - 1559)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h*j**3*o - h*j**3 + h*j**2 + 3219*h - 41208767*j**3*o + 4645*j**2*o + 2*j**2 wrt j?\nAnswer: -6*h*o - 6*h - 247252602*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zezezwwznw. What is prob of sequence ww?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1646, 1457, 1268, 1079, 890?\nAnswer: 701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 2 + (-1 - -1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -16, f - 8 = -8*z + 12*z for f.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.1, 1\/527, -3\/4958.\nAnswer: -1, -3\/4958, 1\/527, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 r when two letters picked without replacement from birruuubiubiu?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.251458l in millilitres?\nAnswer: 6251.458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/9)\/((-20)\/45)*10\/9. Let m(q) be the first derivative of h*q**3 - 4 - 60*q + 5\/2*q**2. Factor m(f).\nAnswer: 5*(f - 3)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17356, 17340, 17298, 17218, 17088, 16896, 16630?\n\"Answer: -2*x**3 - x**2 + x + 17358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.31 + -2.91. What is y rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 1 + 1 + 2*w + 0 + 0 + (4 + 0 - 3)*(2*w + 2*w - 3*w) - w + 0 + 0 + 10*w + 7*w - 6*w)*(-w**2 - 2*w**2 + 2*w**2).\nAnswer: -14*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r - 6650 = -0*r. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, p: 3, a: 2, x: 6}. What is prob of sequence ha?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 5*r**2 + 2. Let o be l(-5). Let b(m) = -6 + 0 - o*m + 6*m. Calculate the lowest common multiple of b(6) and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 842 - 514. List the prime factors of w.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 107188 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1273184 and 330?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 19*v**2 - 4*v - 43. Give m(19).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -6, 2, -0.42, -7 in ascending order.\nAnswer: -7, -6, -0.42, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (640\/(-45))\/(-16)*801\/48772.\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -232*k**3 - 236*k**2 - 4*k.\nAnswer: -4*k*(k + 1)*(58*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*y + 82, -2*w - 53 = 5*y + 6. Let a = 36 + w. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((-9 - -1) + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 5*l**4\/96 + 17*l**3\/48 + 3*l**2\/8 + 11*l. Solve u(i) = 0 for i.\nAnswer: -3, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18496 and 14144.\nAnswer: 240448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*i + 8841843 = 193*i + 2477155. List the prime factors of i.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72 + 31 + 17 - (-70 + -1).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 293*w + 7961. Give h(-25).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8\/11)*o)\/o**(-10\/3) assuming o is positive.\nAnswer: o**(119\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**4\/12 + y**3\/6 - 61*y**2 - 5659*y. What is r(11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 - 8*o + 2. Calculate a(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 22, -399, 44, 5, -5 in increasing order.\nAnswer: -399, -7, -5, 5, 22, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**14*c)\/(c**17\/c))\/((c\/(c*(c\/c**(-7))\/c))\/c**(-2)) assuming c is positive.\nAnswer: c**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -503 divided by 503.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.8 + 4.8. Suppose -2*h - 13*h - 11*h - 130 = 0. Sort 2\/5, 0.6, h, t.\nAnswer: h, 2\/5, 0.6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 5*q - 55, 0 = i - 6*i + 5*q + 25. Calculate the common denominator of -44\/39 and (-38)\/i - 0 - (-84)\/126.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207848562 a multiple of 552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k - 859 + 94387*k**2 - k - 94388*k**2 + 859.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -6984834, 1\/11 in ascending order.\nAnswer: -6984834, -1\/6, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**2 - 2*r**2 - 3*r**2 + (4*r + r + 3*r)*(2*r - 4 + 4) - 5*r**2 + 2*r**2 + 2*r**2 - 2 + 2 + 2*r**2.\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2, 0, 24.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -40*r**2 + 2*r + 2. Let m be s(0). Solve -3*j = -5*b - 21 + 2, -2*b + 2 = m*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/60 - (-356)\/10. Suppose 5*p = -4*l + p + z, -2*l + 30 = 5*p. Suppose -4 = -j - f, 7*f - l*f = 0. Solve -3*y + j*y + 2 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 246 and 3?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 311 - 2801\/9. Let t = -3 - -6. What is the closest to y in t, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 216 + -219. What is the smallest value in -0.01, -1\/8, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*p**4\/19 + 366*p**3\/19 + 52*p**2\/19.\nAnswer: 2*p**2*(p + 26)*(7*p + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 11) to base 5\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**3*p**8*(p\/p**(-3))**23 assuming p is positive.\nAnswer: p**103","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 7*k + 5. Let a(h) = -h - 13. Let o be a(-15). Let x(y) be the second derivative of -y**3\/2 - y**2 - y. Determine o*g(w) + 5*x(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 288*j - 7. Let v be b(-1). Let p = 295 + v. Solve p = -3*l + 7 - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t**3 + 151*t**2 - 2134*t + 6350. Let d(a) = -2*a**3 + a**2 + 5*a + 2. Let p(k) = d(k) - m(k). Determine v so that p(v) = 0.\nAnswer: 4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 66*g**3 + 43*g**2 - 28*g**3 - 31*g**3 to f + d*g**2 + r*g + y*g**3 and give d.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**4\/6 + p**3\/6 - p**2 - 1. Let f(x) be the second derivative of q(x). Let m be f(1). Sort -5, 5, m in descending order.\nAnswer: 5, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 1525\/6, -16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -74 - -79.1. Let r = 7.4 + g. Let w = 12 - r. Which is the closest to 2\/3? (a) 3 (b) w (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + g + 7. Let a(w) = -13*w + 5. Let f(y) = 10*y - 6. Let n(p) = -3*a(p) - 4*f(p). Let q be n(5). Determine r(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45331 + -22231. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 7, h: 2}. What is prob of sequence thh?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -21723+5\nAnswer: -21718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74929, -149864, -224799, -299734, -374669, -449604?\nAnswer: -524539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-2) - (-9)\/3. Suppose 0 = -r + 3*b - 1, 0*b + 2*b - m = r. Let n(y) = y**3 + 3*y**2 - 6*y - 1. Determine n(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100100120222221 - -22?\nAnswer: 100100121000020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/59 in 2, 2\/19, -10\/3, 3, 176?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a millennium in centuries?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -11*d**3 + 2*d + 5. Let q be c(2). Which is bigger: q or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8567 + -4539. Is 38 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34 in 0.4, -2\/17, -1\/5, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000804 to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 85*s - 40*s + 321 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1286?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**3 - 3*y**2 - 2*y + 6. Let h be i(3). Suppose 3*j + h = -90. What is the tens digit of (-9 + 0)\/(13\/j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 2*l - 4, -53*l + 51*l = 2*u for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*u - 120*u = 67*u + 106*u + 5350 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 357 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 348986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13324*c + 925 = -13361*c for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 14*o + 920. What is a(-66)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 53b3 - 3?\nAnswer: 53b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*i - 4*i = 0. Suppose -60 = -4*s + 4*w, -s + 11 = -i*s + w. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -10246*m + 10243*m - 57, -89 = -7*m - 3*p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + 1 + sqrt(2299) + -4)**2.\nAnswer: -4696 + 308*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 12:41 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 350398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 23 = 2*y, 5*p + 0*y - 33 = -2*y. Suppose -2*s - j + 14 = 0, -2*s + 4 = p*j + 6. Calculate the remainder when s is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -732 - -756. Suppose -2*f - h = -5*i - 11, i - 11 = -f. Solve 4*p = 5*y - 14, 1 = 2*y - 3*p - f for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -24 - 18. Let m = -25 - b. Let l = -6 - m. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/22*0\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g - 2. Let h be r(-3). Let v be (-12)\/32*-6 - 3. What is the closest to v in h, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*a + 14134 + 2482. Solve 251*c = a*c - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*d + 20. Let s be 4\/(-10) - 48\/d. Suppose 4*y - 66 = -s*o - 0*y, 0 = -2*o + 2*y + 48. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*r + 0*r - 21*r + 0*r - 5*r + 4*r + (3 - 5 + 4)*(1 - 1 + 2*r))*(r - 3*r + 0*r).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((t\/(t**(-2)*t))\/t)\/t)\/t)\/t)\/t**(-7))**(-46)\/((t*t**(-2\/5))**(-1\/51)\/(t**0*t\/(t*t**6))) assuming t is positive.\nAnswer: t**(-20059\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k. Let n(l) be the second derivative of -l**4\/12 - 4*l. Calculate p(n(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26066 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.093 + 107.907. Let q = u + -98.2. Let v = q - 12.3. What is v rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/(-2) - (-796)\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13137*x - 18216?\nAnswer: 13137","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 - 3)*(6*i - 2*i - 3*i) + (2*i - 3*i + 3*i)*(-2 + 1 + 11) to the form u*i + w and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from isiiiiivssvivvis. What is prob of picking 1 i and 3 s?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7141423 (base 8) to base 10\nAnswer: -1884947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003198946 rounded to 5 decimal places?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 94266229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 9:53 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 16 - 26 = 0. Suppose -l = -4*l - 27. What is the units digit of (-2 + -1)*n\/l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1aa5 (base 11) to base 7.\nAnswer: 10513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 + -23. Suppose 5 + z = 6*s. Factor a**s + 1\/2 + 0*a**2 - 1\/2*a**4 - a.\nAnswer: -(a - 1)**3*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/45 + (-6734)\/(-666) + (0 - -4). Let x(v) = -v**3 + 15*v**2 - 12*v - 29. What is x(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(38)\/sqrt(2) + 4 + (sqrt(19) + sqrt(19) + sqrt(190)\/(sqrt(20)\/sqrt(2)))**2).\nAnswer: -700 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 + 2*s + 1. Let d(i) = 5*i**2 - 16*i + 22. Let c(j) = d(j) + 4*k(j). What is the first derivative of c(y) wrt y?\nAnswer: 2*y - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 3416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -16, 4*h - 58 = 2*h - 4*p. Suppose 5*b + 10*i = 12*i + 160, -4*b = -5*i - 128. Let q = h - b. Solve 0 = q*x - 3*c - 33 + 11, -3 = -x + 2*c for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1360.919445 to one dp.\nAnswer: 1360.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 52 - 17*m + 42*m.\nAnswer: 25*m - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-275 - -261) + (26 - -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 f when two letters picked without replacement from {f: 4, s: 6, b: 3}?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8, 4, 16, -1, 1\/5?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 489*l + 6.\nAnswer: -489*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from bzbcllslssbbzscmzbb.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z + 3*z + z + (-2 + 3 + 0)*(1 - 1 + z) + (-z - 4*z + 0*z)*(-10 + 19 - 40).\nAnswer: 157*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3946 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.056 + -23.944. Let i = g - -43. Let y = 14 - i. Which is the third biggest value? (a) y (b) 6 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 2. Let p = -290 - -292. Sort -3, -4, o, p in decreasing order.\nAnswer: o, p, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522060619?\nAnswer: 522060619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 a factor of 1810887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7 + (-528)\/(-77) - (-51)\/(-84). What is the smallest value in z, -5\/4, -5, -4\/45?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.062 and -10.308881.\nAnswer: -10.370881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 325*i**3*r**3 + i**3*r + 7*i**2*r**2 + 18*i wrt r.\nAnswer: 1950*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011147461 to seven decimal places.\nAnswer: -0.0001115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3524 divided by -20.\nAnswer: -881\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nanplpmnplpqnpnmmqp. Give prob of sequence pq.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 w when three letters picked without replacement from {r: 2, n: 3, w: 3, z: 8, y: 3}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - -1*(1 + 12). Let d = -3368 + 2157. Let l = d + 1215. Solve -x = -p + 3*k, 21 = 6*p - p - l*k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 91 - 91.1. Which is smaller: k or -0.198?\nAnswer: -0.198","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 142.3 + -129. Round p to 0 dps.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(84)*-2 - sqrt(84)) - (sqrt(84) - ((sqrt(84) - 1*sqrt(84)) + sqrt(84)))*6)\/(-4*1*sqrt(12) - sqrt(96)\/(sqrt(8)*2)) + -2)**2.\nAnswer: -16*sqrt(7)\/3 + 148\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/600 and -59\/56049.\nAnswer: 11209800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2350250 (base 7) in base 16?\nAnswer: 48b81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 3*r + 4. Let h be n(8). Let g = -9 + h. Let y = g + 121. Calculate the highest common factor of y and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/10 - (18 - 11).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 3*z**2 - 3*z - 1. Calculate g(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 5*n**2 + 3*n. Let h be p(5). Let s = -2440 - -19549\/8. What is the common denominator of (-524)\/30*h\/(-12) and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-42))\/(-6)*(-2)\/12*18\/27\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 10 - 45 - (4 - -2).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -2*d**2 - 102*d + 45. Let x be y(-25). Let p = -0.73 - -1.23. What is the nearest to x in 4, p, 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 3415.\nAnswer: 341.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 348775.\nAnswer: 5, 7, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 7. Let k be a(3). Suppose -f - 6 = -k*f. Let n(l) = -4*l**2 + 6*l**2 - 3*l**f. Let g(w) = -2*w. Determine n(g(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 556*b - 43560017 + 41257671 - 385687242 = 0. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4183160473?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 593383 or -0.121?\nAnswer: 593383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29357477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 800325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-2\/7)*p)\/((p*p*p*p**(-7)*p*p*p)\/p)*(p*p**0)**1 assuming p is positive.\nAnswer: p**(37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 2*h**2 - h + 2. Let b be d(3). Let x = -33 - b. Calculate the remainder when 3\/2*26 - (2 - -1) is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*18\/(108\/10)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2770, -7060, -14202, -24190, -37018, -52680, -71170, -92482?\n\"Answer: o**3 - 1432*o**2 - o - 1338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = -7*t - 3, -5*z = -3*t - 14 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 15 + 3 = 0. What is the hundreds digit of (2\/d)\/((-3)\/1116)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/21*-5)\/((4\/5)\/((-38)\/95))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33136\/7 greater than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = c - 1498. Suppose -551 = -5*v + 3*g, -c = -3*v + g + 226. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*w + 4*w. Suppose t - w = -2. Suppose 5 = -y + 2*i, 0 = -y - 0*i + i - t. Solve a + 9 = n, 2*a - y = -3*n + 6 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2)*w*w\/(w**(-32)\/w)*w*w\/((w\/w**(1\/9))\/w)*w\/((w\/w**7)\/w*w)*w assuming w is positive.\nAnswer: w**(388\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -89 + 210 + -100 + (-1 - 14).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -240.\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -35 * -0.03\nAnswer: 1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2475a + 4?\nAnswer: 2475e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-1*sqrt(77) - sqrt(77)*-1*3)*5)\/((sqrt(5103) - 2*sqrt(5103))\/sqrt(9)*-2).\nAnswer: 5*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6) + 735\/1764?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 0.4 (c) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1995565, -3991091, -5986575, -7982017, -9977417?\nAnswer: -11972775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)\/n)**40\/(n**(4\/7)\/((n\/((n**2\/n*n*n)\/n))\/n))*n**(-7)*n**(-2\/7)*((n*n*n**2)\/n*n)**(3\/19) assuming n is positive.\nAnswer: n**(-11867\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 10*x - 4. Let q(d) = 2024 - d - 2021 - 8*d. Give 3*p(i) + 4*q(i).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 + 2 - 9\/6*2. Let s be (-144263)\/(-12) - ((-15)\/x - 2). Let m = s - 12012. Find the common denominator of m and -49\/33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*h + 280*h = -463*h - 275*h - 38634 for h.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.15 + -0.15. Which is the smallest value? (a) h (b) -4 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 423\/7 or 60?\nAnswer: 423\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-630 - 3)\/(4\/(-880)*6). Round n to the nearest 1000.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1940164 is divided by 1191?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 11*s**2 - 10*s + 3. Let z be r(-10). Find the first derivative of -4*j**2 + 5*j**2 + z*j**2 - 1 - 2 wrt j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 + 0)\/2 + (-56 - 656). Let v = b - -8393\/12. Calculate the common denominator of (-101)\/(-10)*(0 + 1) and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ikz when three letters picked without replacement from {i: 7, k: 2, z: 6}?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32496994*u**2 + 33371771*u.\nAnswer: 64993988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15918864 divided by 24?\nAnswer: -663286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1932795777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 0.3, -8, 61, 20?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 25 and -24339.\nAnswer: -24314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.1931 + 3.1931. Let w = -0.8 + -0.2. What is the closest to w in 5, 0.4, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*v**4\/5 - 2*v**3 + 4*v**2\/5.\nAnswer: -2*v**2*(v + 1)*(7*v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 26 + 18 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12*m - m + 0*m)*(3 + 1 + 0) to the form t + r*m and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**5\/7 - 158*q**4\/7 - 3260*q**3\/7 + 12028*q**2\/7 + 78802*q - 417074 = 0.\nAnswer: -31, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 852593?\nAnswer: 7, 31, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-4 + -4 + sqrt(475) + sqrt(475) - sqrt(475) - sqrt(475)))**2 + (sqrt(152)*1 + sqrt(38))\/(2*sqrt(32)).\nAnswer: 3*sqrt(19)\/8 + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 701213209 to the nearest integer?\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -18 + (2 - 1) + (18 - 28) + -8?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-35)\/7)\/(-5) + (-1)\/3. Let a = 67.1 + -63. Let y = a + -4. What is the nearest to y in g, 8, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 34. Solve -w + a = -4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 9*r**2 + 10*r + 3. Let d be v(-10). Which is the nearest to 1? (a) -4 (b) 2\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 8*c**2 + 11*c - 1804. Calculate q(-5).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a - 12?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-6)\/(-38)))\/(((-553)\/79)\/7)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -h - 5. Let k = 2 - h. Solve -2 = 4*u - o + 13, k*u = -2*o - 30 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1823 + 1827. Put -15, -14, c in descending order.\nAnswer: c, -14, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 0. Suppose -2*w - 5 = 2*j - 1, -4*w + u = -4*j. Solve 5*n + 5*l = 20, w = -7*n + 4*n + 3*l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-5852)\/490 - -6*(-3)\/6?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4994 divided by 214.\nAnswer: 2497\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*u**2 + 54*u**2 - 29*u**2 in the form q*u + t + f*u**2 and give f.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 323, -71, -4 in increasing order.\nAnswer: -71, -4, -2, 323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*j = -6*j - 271, 25 = -5*j. Let o = 193 + m. Is o a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/3 - -1) + (-1116)\/(-54). Suppose 0 = 17*o - 106 + f. Put -2, -4, o, -3 in decreasing order.\nAnswer: o, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2231 - -16?\nAnswer: 2247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8937 + 8942. Which is the nearest to 0.2? (a) x (b) -2\/11 (c) 1\/62 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*g + 9*g - 4*g)*(0 - 3 + 2)*(1 - 2 + 2) + (0 - 3 + 4)*(-18*g - 333 + 333) in the form o + t*g and give t.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-21)\/2)*(-2940)\/(-49).\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4692)\/276 - (5 - 4)*-45.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (126\/546)\/((-1)\/2 - 1)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 34451756.615.\nAnswer: -34451756.615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13, 33, 69, 127, 213, 333, 493, 699?\n\"Answer: i**3 + 2*i**2 + 7*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2265*k. Let w(c) = -566*c. Let h(r) = -6*b(r) - 25*w(r). Let u(n) = -2*n**2. Calculate h(u(o)).\nAnswer: -1120*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 - -256. Suppose 0 = -3*s - 2*r - k, 3*s - 4*r + 37 = -251. Let o = -54 - s. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 4:31 AM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.85 - 0.15. Let l be (3 - 2)\/(-1*1). Let d be l\/4 - (-30)\/56. What is the second smallest value in s, 0.06, d?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/240 and 133\/720?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 425*u - 31670*u**4 + 525*u**5 + 31670*u**4 wrt u.\nAnswer: 10500*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 3360.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 110165 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u**2 + 2*u**2 - 4*u**2)*(-29 - u**2 - 10*u + 29) as g*u**3 + r*u**4 + a*u**2 + o*u + b and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z. Let k be p(5). Let w(h) = -h**3 - 9*h**2 + 9*h - 11. Let l be w(k). Let r be 0 + l - -18 - 0. Solve -25 = -5*t + 3*u, 4*u = t + u - r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26861459 rounded to 2 dps?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00663513 rounded to 5 decimal places?\nAnswer: -0.00664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12 - 2 + 14*o**2 - 10 + 18*o wrt o.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5*n - 3)*((0*n - n + 0*n)*(-n + 2*n - 3*n) + n**2 - 3*n**2 + 3*n**2 - n - 2*n**2 + n - 10 + n**2 + 10)*(-5*n + 5*n**2 + 0*n + 3*n + 1).\nAnswer: 50*n**5 - 20*n**4 + 10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, r: 5}. Give prob of sequence iir.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 17*r**2 + 116*r + 1022. What is the smallest common multiple of y(-11) and 354?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q - 54*q - 510*q.\nAnswer: -570*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*l = -28*l + 2*n - 288, 576 = 4*l - 2*n. Calculate the greatest common factor of l and 320.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(-3*i**3 + 2*i**3 - i**3) - 83*i**3 - 1498*i + 1498*i.\nAnswer: -85*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 932*b + 337869.\nAnswer: -(b - 1211)*(b + 279)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 24*f**2 - 51*f + 12. Is 50 a factor of g(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11.2 in -0.3, 1, -2\/13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -80*a - 3. Is v(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**4 + 2*v**4 + 0*v**4 + 4*v**4 - 2 + 2 + (-164 + 164 + 45*v)*(-2*v + 2*v + v**3) + 0*v**4 - 5*v**4 + 3*v**4.\nAnswer: 45*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*i - 419*i + 142*i + 134*i.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1\/25)\/(a**34*a)*(a\/(a*a\/(a*a**(1\/10))*a))**15 assuming a is positive.\nAnswer: a**(-2427\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*u, 6 + 4 = 5*i + 3*u. Let b be 11 - (i*2 - -1). Suppose 7*h = 4*h + b. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/665*((-1519)\/(-42))\/31\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 690825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7968868093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 3*n + 2*n)*(1 - 1 - n**2) + 163*n**3 - 223*n**3 - 240*n**3.\nAnswer: -301*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 - (-20 + (-19 - -5 - -65)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 204 - 199.16. Let s = y + 0.16. Let d = 89 + -89.1. Which is the second smallest value? (a) d (b) 0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (5*(0 + sqrt(171)*-1))**2.\nAnswer: 4274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 4, -1630, 1\/10 in descending order.\nAnswer: 4, 1\/10, -0.1, -1630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 63*w**2 - 399*w - 66. Give h(-7).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2)*l)\/l**(-2\/9))\/(l\/(l**(-4)\/l)*(l\/l**(-1\/7))\/l)*(l*l**(1\/7)*l*l**(-1\/7))\/((l**(-5)\/l)\/l**(1\/6)) assuming l is positive.\nAnswer: l**(283\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h = 3*a + 18, -6*a = -2*h - 3*a + 18. Solve 79*c - 84*c - 25 = h for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -544*d + l - 64 = -542*d, -5*l + 4 + 4 + 2 = -0 for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 3*j**2 + 2*j - 6. Let b be h(3). Find the second derivative of -f - 3*f + f + b*f - 30*f**4 wrt f.\nAnswer: -360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1280 - -2777. Suppose -1490*s = -i*s. What is the second biggest value in -4, s, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 755966.\nAnswer: 2, 31, 89, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/35*(-240)\/(-84).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 912, 885, 810, 663, 420?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -31 - e2a?\nAnswer: -e5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 69716*s - 9193?\nAnswer: 69716","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*q + 4*q. Let s(g) = 4*g**3 - g**2 + g + 3. Let v be s(3). Suppose v = q*t + t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0070404007 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 28*l + 16. Let g(b) = -9*b + 7. Let s(f) = -9*f + 5. Let u(d) = -5*g(d) + 6*s(d). Let a be ((-20)\/12)\/(2\/6). Calculate a*j(p) - 16*u(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9788*l**3*m**2 + 62*l**3*t**2 + l**2*t**2 + 2*l**2 - 20*l*m**2*t**2 + 3*l*m*t**2 - 2*l*t + 11*t**2 wrt m?\nAnswer: 19576*l**3 - 40*l*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(264\/11)*2)\/(5\/(-9))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y. Let s(q) be the third derivative of -q**5\/6 + 151*q**4\/24 + 110*q**2 - 4. Calculate v(s(w)).\nAnswer: 10*w**2 - 151*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*((c*c*c\/(c*c**(-3\/8)))\/c*c)\/c*c*c\/c**(3\/11))**(8\/11) assuming c is positive.\nAnswer: c**(361\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16632 and 25056.\nAnswer: 1929312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f + 6. Let b be (6\/(-7))\/(1 - 12\/14). Let y(x) = 3*x + 5. What is b*y(h) + 5*k(h)?\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -999290.6 and 4.\nAnswer: -3997162.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 89 - 93. Suppose 0 = -5*t - 0*t - 2*q + 275, 223 = 4*t + q. Let n(b) = -4*b**3 + 3*b**3 - 58*b - b**2 - 4*b**2 + t*b + 5. Give n(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*g - 4*g**2 - 3*g**3 - 242 + 112 + 133 + 3*g as n*g**3 + i + s*g**2 + t*g and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5\/6 - 2463*h**4 + 9199696*h**3 - 2213717264*h**2\/3.\nAnswer: h**2*(h - 7348)**2*(h - 82)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.6 times -2?\nAnswer: -137.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 8*d**2 - 1. Let p be s(-1). Let y = -10 + 14. Calculate the least common multiple of p\/4*(8 - 0) and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*y**2*z**2 + 383*y**2*z + 1307*y**2 + 52*y + 2*z**4 wrt z.\nAnswer: 52*y**2*z + 383*y**2 + 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 280*h - 4095. Determine l(14).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22661 by 1333.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and -3.715.\nAnswer: 0.2972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of -1\/2*q**2 + 1\/6*q**3 + 8 + 0*q + 1\/8*q**4. Factor g(x).\nAnswer: x*(x - 1)*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 18 = 12. Let k = -12 + m. Solve -k*h + 5 = -4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 35. What is the second derivative of 19*l + 40*l**y - 2*l**5 + 6*l wrt l?\nAnswer: 760*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 355755 = k - 2*f - 460237, -1631992 = -2*k + 2*f. Round k to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 2) + (8 - 5) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -13. Suppose -8*q = 3*d - 3*q - 4, 0 = 5*d - 3*q - 18. Suppose 0 = -3*n + d, -n = 2*w - 4 - 15. What is the highest common factor of w and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 252998?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1122\/475 - 732896\/329175. What is the common denominator of 59\/2898 and l?\nAnswer: 31878","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y*y**(2\/59)*y)*(y*y**11)\/y*y\/y**(8\/3)*y*y*y*y\/y**(-8\/5)*y assuming y is positive.\nAnswer: y**(13186\/885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-41)\/89913*-43)\/1)\/((2\/8)\/1).\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2.22 * -0.03\nAnswer: 0.0666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1098185 divided by -5?\nAnswer: 219637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268*r + 3*r - 12525 = -230*r for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5601*p + 145643. What is x(26)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4*(-7)\/(-28))\/(8218\/116 + -3) and -27\/5509.\nAnswer: 27545","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*s + 4*s. Let i be 2*(4 - (s + 3)). Let x be (-4)\/(-6)*6\/i. Solve -2*k + x = -3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47262*g**3 + 23647*g**3 + 23619*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 + -1 + 2 - 9. Let o(h) = -6*h - 1. Let q be o(-4). Let g = z + q. Calculate the remainder when g is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -136*j + 1518. What is the thousands digit of f(-44)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 10*p - 2, 4*o + 8 - 7 = -p + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 223151793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -5.6. Let k = 145.9 - -17.1. Let i = -162.4 + k. What is the third biggest value in -1, i, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**3 - 6*f**2 - 12*f - 1. Factor b(w).\nAnswer: -3*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of 1991*m**4\/4 + m**3 + 4*m**2 + 12*m. Let c be a(-6). What is c rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-15) + (-20)\/(-225)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 92304 divided by 1923.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*m**3 - m**3 + 52*m**3 - 2*m**3.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -123*l**3 - l**2. Let i(g) = -g**3 + 18*g**2 - 18*g + 16. Let r be i(17). Suppose 2*v + 14 = 76. What is the remainder when k(r) is divided by v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 13) to base 3.\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/2584 and 41\/168?\nAnswer: 54264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**4 + 3*t**5 + 31 + 30 - 67 + (2*t**2 - t**2 - 6*t**2)*(-2*t**3 + t**3 + 0*t**3).\nAnswer: 8*t**5 - 3*t**4 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 25. Suppose -4*m - 70 = j*m. Let n be 2\/5 - 556\/m. Calculate the greatest common factor of 84 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2338\/2505*(-12)\/(-14).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31.79000912 + 31.79. What is s rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/10*(13476735\/1656)\/449.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -158*a + 4711. Does 28 divide k(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -23*o**2 - 15*o - 32. Let s(j) = 8*j**2 + 6*j + 11. Let f(t) = 17*s(t) + 6*z(t). Let u be f(4). Solve 8 = 3*m - u*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41538, 83072, 124606, 166140?\nAnswer: 207674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 355 + -3?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46497*m - 23088*m - 23408*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3\/5 + 3327*r**2\/5 + 243600*r + 146868876\/5.\nAnswer: 3*(r + 297)*(r + 406)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -15189 take away -21686.4?\nAnswer: 6497.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 104 = 17. Let m be 8*r - (-2)\/(-1). List the prime factors of (5\/(-15))\/(3\/m).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 19 + 4 + (2 - 9). Let n(g) = 45*g - 25*g + 2*g**2 - q - 24*g. Calculate the remainder when n(6) is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 595 by -119.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52663, -210755, -474255, -843175, -1317527, -1897323, -2582575, -3373295?\nAnswer: -4269495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25312*x**3 + 39791*x**3 - 76008*x**3.\nAnswer: -10905*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8312297 years to centuries.\nAnswer: 0.008312297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*a = -30*a - 4. Suppose a*i - 19 = -d, 3*i + 2*d - 8 = 21. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 166 - 162. Let l be (-5)\/2*10\/(-50). Is u smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/15 and 89\/2087832.\nAnswer: 10439160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3623*f**2 - 1293?\nAnswer: 7246*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99789, 99761, 99733?\nAnswer: 99705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 4:24 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12164, -12163, -12162, -12161, -12160?\nAnswer: -12159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -72*v - 23. Let y(a) = a - 3. Give -3*f(o) + 24*y(o).\nAnswer: 240*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of -5\/72*m**4 - 4*m**2 - 1\/1008*m**8 + 1\/126*m**7 + 1\/18*m**3 + 1\/18*m**5 - 1\/36*m**6 + 0*m + 0. Factor v(l).\nAnswer: -(l - 1)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37 and -10.\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 - a + 1. Let s be g(1). Let b(z) = 6 - 1 + s*z - z**2 + 2. Suppose -4*l - 5 = -25. Calculate b(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*t - 7 = 0, 4*i + 19*t = 20*t + 9. What is the highest common divisor of 3 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1271, -5166, -11651, -20720, -32367, -46586, -63371?\nAnswer: -82716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = -7*d + 3*d - 16, -4*d - 12 = -2*t for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -12*p**2 - 15*p + 33. Let k(v) = 17*v**2 + 22*v - 49. Let j(a) = -5*k(a) - 7*r(a). Let h be j(2). Solve g - 2 = -2*n, 5*n + 4*g - g - 6 = h for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00597267061 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -0*j + 3. Suppose -24 = 9*r - 42. Suppose s + r = -s. What is the third biggest value in j, -7, s?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5918, 22720, 50708, 89876, 140218?\n\"Answer: -l**3 + 5599*l**2 + 12*l + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*w + 24, 168 = 4*o - 5*w + 3*w. Suppose -o = 28*s - 29*s. Calculate the lowest common multiple of s and 4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in 19\/3, -2\/5, -4?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -8. Let p = x - 2. Suppose -v + 18 = -3*i, 3*v + 6 = p*i - 6*i. Solve 3*n + 6 = -2*g, -n - g - v*g = 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560999 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -15. Let f be -7 - (n - 3 - 1). Put f, 1, -0.2 in decreasing order.\nAnswer: 1, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4.2, -18605, 3?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9605 - 9481. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 545391?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*v - 13, -v + 16603 = 2*u. What is u rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*k + n, -k - 15 = -3*k - 5*n. Calculate the remainder when 146 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 11:27 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + 51*d - 129 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 97 - 97 - 50*r as t + a*r and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275)*1 + 1 - (sqrt(275)*-3 + 5))*-4 - (3 + -4 + (sqrt(275) + 0)*-1 + -5))**2.\nAnswer: -3300*sqrt(11) + 62359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 4099 (c) 1 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2\/163 (b) -2 (c) 30 (d) 1 (e) -0.5 (f) -0.33 (g) -4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*c + 2)*(-12*c - 16*c + 2*c).\nAnswer: 78*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 7*a**2 + 2*a - 2. Let y be x(7). Suppose -2*t + 12 = -y. Let g = t + 4. Solve -4*l + 0*l - g = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4807011333 and -2?\nAnswer: 4807011331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 3 - 1. Let b(g) = -g. Let p(v) = -33*v + 1. Let l(z) = 30*z + 1. Let y(c) = l(c) + p(c). Determine a*y(o) + b(o).\nAnswer: -4*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1364 - -1364.887. Let b = 0.047 - a. Let v = 0.9 + b. Round v to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -206 + 542. Let g = q - 328. Solve -13*c - 25 = -g*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -106 or -109?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 5 - 5)*(162*s + 110*s - 100*s + (1 - 3 + 1)*(2*s + s - 4*s)).\nAnswer: 865*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 341122742 <= -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 141571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1694338 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -293606\nAnswer: 293600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 4*q - 1. Let c be p(3). Let f(k) = k**2 + c*k**2 - 5*k**2. Let s(j) = -j**2. Give f(s(g)).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/sqrt(3)*-2)\/(sqrt(588) + (sqrt(588)*2 - sqrt(588))) - (3*sqrt(144)\/sqrt(4))\/(-3*sqrt(48)).\nAnswer: 5*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -21704*-0.301\nAnswer: 6532.904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6409*i**2 + 2*i + 9. Let s(z) = -3*z. What is s(c(h))?\nAnswer: -19227*h**2 - 6*h - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 271*c**5*d - 2*c**2*d + c*d - 59*d wrt c?\nAnswer: 5420*c**3*d - 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**3\/6 - 136*w. Let u(k) = -7*k - 2. Determine u(o) + 6*v(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(320))\/(sqrt(16)\/sqrt(4)*-1 - sqrt(4) - sqrt(4)).\nAnswer: -16*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5*t + 5, -4*t + 0 + 4 = 5*o. Suppose 0 = -o*i - 3*i - 120. What is the common denominator of 121\/12 and (-166)\/i + (-24)\/32?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 215 - -3?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 382483 - 4?\nAnswer: 38247a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.6 and -17.\nAnswer: 27.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -17*a - 7. Let j be v(-1). Solve -j*f + 10 = -20 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14289970 to the nearest ten thousand.\nAnswer: 14290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - g**3 - 1)*(3 + 0 + 2).\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 5. Let i = 247 + -244. Let m = 1886 + -1885.9. Which is the nearest to 13? (a) m (b) g (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -490 - 107 = -25*d - 13*d - 103 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*f)*(4 + 1 - 4) + 276*f + 18 - 18 + 1 - 1 - f + (-1 + 3 + 0)*(-2*f + 3*f + f) + f + 5*f - 4*f in the form y*f + i and give y.\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (130 - 97)\/(0 + 3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/4464 and 83\/627750?\nAnswer: 5022000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 202370 a multiple of 343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*23\/((-1265)\/22).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -20*g + 57. Suppose -z - 2*x = 25, z - 4*x = -3*z - 88. Is f(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16662 and 10878.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -277.31 - 6.69. Let b = -283.99999668 - a. Round b to 7 decimal places.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-144)\/(-4)*(9 - 429\/(-6)) is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - -2*1 - 0. Let c(b) = -2*b**2 + 5*b - 2. Let o(g) be the second derivative of -g**3\/6 - 276*g - 2. Calculate l*o(a) + c(a).\nAnswer: -2*a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 - -32. Let n = p + -3. Let s = -11 - n. Calculate the highest common divisor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 17 = -3*v, 3*h - 2*v - 19 = -5. Which is the nearest to 1\/2? (a) -1 (b) 2\/9 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13069044?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 20 = -4*v. Solve 2*k - v*k - 8 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1883211 divided by -33.\nAnswer: 57067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.5 (b) -4\/47 (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (247\/156)\/(-19)*18\/(-4)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1887.\nAnswer: 3, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-5))\/((-32)\/160) - (4 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 690 is divided by 77.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1577*m + 195*m - 371*m - 50436 = 0 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 k, and 1 t when three letters picked without replacement from cktctct?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.2 - -8.4. Let k = -32.3 - -32.5. Let j = i - k. Put 5, -4.3, j in decreasing order.\nAnswer: 5, j, -4.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**1*q*q**(-1\/5)*q**(-13)*q\/q**(1\/4)*q assuming q is positive.\nAnswer: q**(-189\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1250, 5, 3 in decreasing order.\nAnswer: 1250, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2796455.297 to the nearest 1000.\nAnswer: -2796000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 162381365?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 16) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -19827 divided by -27\nAnswer: 2203\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 + 53. What is the fourth biggest value in -3\/5, -4\/3, b, -0.3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13884, -27612, -41340?\n\"Answer: -13728*r - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w**3 - 171*w**2 + 181*w + 4336. Calculate c(41).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.06 - 2.94. Let t = 131540 + -394618\/3. What is the second biggest value in k, t, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + -10 - (6 - 28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 12:18 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 721.7079 weeks to milliseconds.\nAnswer: 436488937920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*r = 0. Suppose -k - 4 = -r*k, -2*y + 72 = -2*k. Let z = y - 257\/8. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 40846 = -6*w, 4*i = -5*w + 11440 + 22569. What is the thousands digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 565 + -564.99454. What is o rounded to four decimal places?\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 + 2*x + 129 - 38.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + 1010011?\nAnswer: 1011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 0*z + 6 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1542\/(-2056))\/(((-36)\/2)\/2)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 77782188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, p: 4, w: 2, s: 2}. Give prob of sequence qpws.\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1146)\/21 + (-8)\/(-14). Suppose -g + 3*g = -8. Let m be g\/1 + (-240)\/u. Which is bigger: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -9. Suppose 22 = o*q + l, 0*q - q + 11 = 3*l. What is the remainder when 43 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -717 and 2\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0)**(32\/7)\/(a*a**(-5)\/a*a\/a**4))\/((a*a**5*a\/(a**(-4)\/a))\/(a**2*a**(2\/7)*a)) assuming a is positive.\nAnswer: a**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5777365 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19249.697144420159 + -465093559.697142370159. Let r = v + 465074331. Let a = r + -21. What is a rounded to seven decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2\/11 + 9388*s\/11 - 11016818\/11 = 0 for s.\nAnswer: 2347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -5. Let i = f + 3. Find the first derivative of i*v - 5*v + 0*v + 2 + 2*v wrt v.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1\/2)*q)\/q*q)\/(q*q\/q**(-15)))\/(q**6\/(q*q**(-10\/9)*q)) assuming q is positive.\nAnswer: q**(-389\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 6. Let r = 0.0648 + 50.0352. Let o = 49.1 - r. Which is the nearest to o? (a) l (b) 4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3\/5 (b) -0.02 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uquuuuuuuuuuuuu.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen quarters of a microgram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.944384 * -4.\nAnswer: 3.777536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 7:32 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4\/4 + 17*w**3\/2 + 53*w**2 - 665*w\/2 + 1083\/4 = 0 for w.\nAnswer: -19, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -s - 21, -5*s - 28 - 17 = -5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 7:51 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -341 by -6.\nAnswer: 341\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7.978786 grams?\nAnswer: 7978786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -311402 (base 5) to base 9.\nAnswer: -15023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 10:03 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = 4*c. Suppose -5*g + c*p = -269, -3*g + 0*p + 2*p = -159. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 2 + 6 + -10 + 3 + 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 345, 1497, 3425, 6135, 9633?\n\"Answer: l**3 + 382*l**2 - l - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7595213537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 355194768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/5, 3, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(2 - 26\/16). Calculate the common denominator of -31\/10 and 29\/(-2) - (n + 6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 - 143*h + 5973. Give o(29).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, 0.1, 6136180, 0.05?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 15) + 48 + -14 + (-2 - -13).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, d: 1, a: 2, w: 2, t: 7, l: 1}. What is prob of sequence wklk?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18644 or -0.385?\nAnswer: -18644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -b, 27 = 3*r + 2*b. Let p be ((-4)\/(-275))\/(r\/90). Which is bigger: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 228?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 57640972?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 880, 881, 882?\n\"Answer: a + 879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*r - 71*r + 189. Let h be 7 - r\/112*12. Which is the fourth biggest value? (a) 1 (b) -0.1 (c) -1 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 1282205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/61 (b) -4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 n when three letters picked without replacement from nnggnnn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/sqrt(3))\/sqrt(2))**2 + sqrt(15)\/sqrt(5) + -1 - (-4 + (-1*sqrt(3))**2 + 4).\nAnswer: -1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -738 + 740. Let g(q) = -q. Calculate g(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202563 (base 7) to base 2.\nAnswer: 1000011100011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -509 (base 11) to base 3.\nAnswer: -211202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 187393596 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - z + 4. Calculate the lowest common multiple of t(4) and (3 + 0)\/((-30)\/(-1060)).\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/((-12)\/(-97600))*-175. What is w rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*u**3 + 226*u**3 + 809*u**3.\nAnswer: 1109*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 62.3 * -0.02.\nAnswer: -1.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 + -58 + 41 - 42 - (-17 + 1)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + 2*v**3 + 0*v**3)*((96 - 77*v - 96)*(1 - 3 + 0) + (4 - 4 + 3)*(-3*v + 2*v + 0*v)).\nAnswer: 151*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 97 = 3*f, 0*f = f + 1. Suppose 4*t = 3*i + i + 4, -4*i = 2*t - s. Is 1*-1*(-22 + i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11432333 (base 5) to base 15.\nAnswer: 22213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 356 = 2116. Calculate the remainder when s is divided by (36\/27)\/2*18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255566 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: Which is the nearest to 8.9? (a) -4 (b) 0.3 (c) -0.2 (d) 0.01 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 c when two letters picked without replacement from eeeeeeceeeceeeeeec?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -718? (a) 1\/7 (b) -0.3 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*t*u*x + 3*t*u - 983650*t*x - 220064*t - 6*u - 2 wrt x?\nAnswer: -3*t*u - 983650*t","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: -4098 divided by 1\nAnswer: -4098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/5 and (-5757)\/(-1900) - ((-1)\/4 - -1).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1264851*n**5 - 6*n**2 - 199954*n - 11.\nAnswer: 25297020*n**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 - 103*l**2 + 553*l - 61. What is z(5)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 4*v + 26 = 8*v, 3*v = -12. Suppose 0*u + 3*u = 5*f + 718, -5*u - 3*f = -1208. Let b = 276 - u. What is the remainder when b is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11956733 - 0.062075.\nAnswer: -11956733.062075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppbbepqbmbbbpbbeppq. Give prob of sequence pep.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.24 * -57.\nAnswer: -13.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.866 rounded to 1 decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 210929\/9 at most 23437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0289 - 0.1211. What is the closest to -1\/2 in w, -4, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -826.2 minus -3.591323?\nAnswer: -822.608677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*z - 77 + 120 = -81 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4322094 and 1464?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27690*c**2 + 55108*c - 544.\nAnswer: 2*(c + 2)*(13845*c - 136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a + a + 3*a)*(14*a - 14*a + 4*a**2) + 0 + 0 - 2*a**3.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-98)\/(-294))\/((-7)\/(-12))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.99 + 0.01. What is the nearest to n in 0.05, 1, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315829 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((3\/(-9))\/(5\/(-185)))\/((-194)\/(-582)). Solve -12*o - m - 47 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -u + 6. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354 = 2*x - 4. Let n = 184 - x. Let y be (16\/24)\/(4\/30). Calculate the greatest common factor of y and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-74\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*f + 20*f + 15*f - 14*f.\nAnswer: 48*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**7\/189 - w**6\/27 + w**5\/30 + w**4\/6 + 16*w. Find f such that u(f) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z**(-2\/3))\/(z\/(z**7*z)))**10)**19)**(-10\/17) assuming z is positive.\nAnswer: z**(-41800\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -221270, -442539, -663808, -885077, -1106346, -1327615?\n\"Answer: -221269*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 t when two letters picked without replacement from {u: 1, z: 3, k: 3, e: 1, c: 3, t: 7}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -5*i**2 + 18*i - 2. Determine y(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/70)\/(672\/784)*-5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1116 and 1488?\nAnswer: 4464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-13)*f)*f**5)\/(f**11*f*f**(1\/24)) assuming f is positive.\nAnswer: f**(143\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.648 and -1314.\nAnswer: -1315.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*g - 256 + 94 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-1*((sqrt(3072) - (-2 + sqrt(3072)))**2 + (1*sqrt(48)*-4)**2)*6.\nAnswer: -13896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 394\/30 - 1 - ((-255)\/45 + 5). Factor 24\/5*c**4 + 8\/5 + 56\/5*c**3 + i*c**2 + 4\/5*c**5 + 36\/5*c.\nAnswer: 4*(c + 1)**4*(c + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 2*d - 16572, 4*x - 9*d + 8*d - 13242 = 0. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5*sqrt(1920)*5)\/((2*sqrt(60)*-4)\/sqrt(10))*-2)**2.\nAnswer: 200000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/8 - 13\/4. Let s be -1*((k - -2) + 0). Let z = 11 - 14. Do s and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 8:30 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 239.506 - 213.2. Let l = v + -27.7. What is l rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + r - 12 - 4*r. Is 8 a factor of t(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/74 and 17\/298?\nAnswer: 11026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*c**2 + 337*c**3 + 16 - 677*c**3 - 3*c + 339*c**3 to s*c**3 + v + a*c**2 + q*c and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s = 4*s + 3640. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76806 and 4284.\nAnswer: 1075284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (180\/990 + 4\/(-22))\/(1 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12285.0965798 from -2081.\nAnswer: 10204.0965798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 199994 is divided by 66636.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 - -1 - -6 - 80\/40. Let v**2 - 100 - 2*v**2 - 12*v + 6*v**n + 17*v = 0. Calculate v.\nAnswer: -5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.41 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3668, -3952, -4622, -5870, -7888, -10868, -15002?\nAnswer: -20482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, n: 9, l: 6}. What is prob of sequence innl?\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/4 + 1006989*s\/2 + 338008948707\/4.\nAnswer: 3*(s + 335663)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 39564745*j**5 - 18*j - 130847 wrt j?\nAnswer: 791294900*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 115*-641\nAnswer: -73715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 7:26 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 519 divided by -1.\nAnswer: -519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-1 + -3)) + -24 + 27?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*3\/30 + 14\/(-10). Let c be b - ((-2)\/(-3))\/((-10)\/30). Put 2, 5, c, 0 in descending order.\nAnswer: 5, 2, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -0.06489.\nAnswer: -0.43511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 20*i + 44. Let y be m(-22). Solve y = 4*x - 2*l + 18, 0*x + 20 = -4*x + 4*l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 + 0.29. Let f = -11.68 + d. What is f rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 160 = -24*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 10:36 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.01459 to 3 dps.\nAnswer: 7.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -89.\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199 + 1401 = -202*o + 514 - 1130 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7\/45 + 1\/18. Let w = 0.0716 - 2.0716. Which is the second smallest value? (a) h (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/242539 and -43\/6261916.\nAnswer: 68881076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14715 - 14709. Solve -17*f = -19*f + 5*l + j, f + 5*l + 12 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*f - 4*f - 4*f + 25*f**2 as u + l*f + z*f**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 187.6299mm in meters?\nAnswer: 0.1876299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27888 and 26544?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -10*m**4 + m**3 - 3*m**2\/2 - 6*m + 97. Find the second derivative of a(h) wrt h.\nAnswer: -240*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20012203 (base 4) to base 7.\nAnswer: -165520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/sqrt(4)*6)\/((sqrt(12)\/sqrt(2))\/sqrt(3)))\/(-4*4*sqrt(144)*-1).\nAnswer: 3*sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (92 - 82) + (25 - 12) + -54.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.285771 millennia to years.\nAnswer: 3285.771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5 + 4 = 0, -5*o = -3*m - 12. Which is smaller: m or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8417.\nAnswer: 19, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 0 - (-139 - -137).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4708 is divided by 2352?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h + 7. Suppose 0 = 4*q - 2*q - 20. Suppose 0*g - q = g. What is the remainder when d(g) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248287 divided by -2779.\nAnswer: -248287\/2779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(220\/75))\/(8\/4*9\/3)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -16*y**2 + 10*y - 18. Give g(4).\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3108270 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.56548 rounded to one dp?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*a**3 - 2 - 508282879*a + 508282880*a + 2 + 0.\nAnswer: -55*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -0.29 (c) 0.6 (d) 5\/3457\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/1391 + 2762\/6955. Sort 1\/5, -60, a, -1 in decreasing order.\nAnswer: a, 1\/5, -1, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -358338568 divided by 11123.\nAnswer: -32216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 3 + 5 = 4*a, u = 4*a + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - c)*(-5 + 2*c + 5)*(93 + 1099 + 1449)*(c - 2*c + 0*c).\nAnswer: 5282*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -17. Let l = 4 + x. Which is the third biggest value? (a) 1\/6 (b) 2\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 23.63469ml?\nAnswer: 0.02363469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1786?\nAnswer: 2, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3695760 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -9*b**2\/2 + b + 6. What is the remainder when r(-3) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 601223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 75 + -69. Suppose 0 = -c*n + 1 + 23. Factor 0*x**3 - 2\/3*x**n - 1\/3*x + 1\/3*x**5 + 2\/3*x**2 + 0.\nAnswer: x*(x - 1)**3*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1.8, -1, 21.56, -4, 23, 0.5?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1716*h + 1712*h - p = -18, -4*h + 18*p - 172 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -3. Let l = 4.14 - -0.86. Let k = 0 - l. Which is the nearest to -2? (a) z (b) k (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3945 + -3921. Solve 2 = -13*v - z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 149065 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3168 = -2441*y + 2153*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/i**0)*i)\/i)**1\/(i*i**(-18)*i\/(i*i*i**(10\/3))) assuming i is positive.\nAnswer: i**(61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 176017823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 123 + 117. Suppose -32*s = -27*s - d. Let b = 43 - 30. What is the least common multiple of s and b?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1016 divided by -15\nAnswer: -1016\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3352*p + 27 = 3343*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 + 3*x - 2. Calculate y(-4).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 217 = -37. Suppose x = -b + 3*b. Let u = b + -20. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.9, 6, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -17802 greater than or equal to -1228360\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**8\/2240 - v**7\/840 + v**4\/3 - 6*v. Let r(z) be the third derivative of o(z). Suppose r(s) = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 90*j**3 - 415*j**2 + 90*j - 352. Give h(4).\nAnswer: -872","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 170828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 z when three letters picked without replacement from mydmmlmzydlylxdylmyl.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/8)\/((-63)\/36).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 6*t**2 - 7*t - 5. Suppose -2*o + 2 = -12. Let z be d(o). Sort -7, z, 5.\nAnswer: -7, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 660854233\/695 + 6\/(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 102.645 - 103. Let b = n + 0.38. Let p = -0.225 + b. Sort p, -0.06, -5 in increasing order.\nAnswer: -5, p, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 + 6 - (69 + -73).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*a - 2*a + 259 = 0, 0 = 3*w - 3*a - 378. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x + 11*x**2 - 4*x - 5*x**2. Let a(l) be the second derivative of -l**4\/4 + l**3\/2 + l. Calculate 5*a(h) + 3*y(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 468*q = -5957 + 241 + 1036 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 36, 0.3, -0.3, -3, -3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of 3*f**4\/4 + 47*f**3\/6 + 39*f**2 + 98*f. Give o(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -79 - 5?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 8996, 18002, 27020, 36050, 45092, 54146?\n\"Answer: 6*m**2 + 8988*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s + 10. Let z be c(1). Let n(k) = 2*k**3 - 8*k**2 - 7*k - 12. Let w be n(z). Solve -3*d + 2 = -w*p - p, 3*p = -d - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 5*m - 1622, -69 - 764 = -i + 3*m. Calculate the remainder when i is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 422 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*p + 11*p + 7220. Calculate the remainder when p is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2637 (base 10) to base 6\nAnswer: 20113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 6*u**2 - 10*u + 13. Let m be o(7). Let y(d) = -4*d + 4. Is y(m) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (286\/169)\/(-11) + (4200\/(-3770))\/(-5).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 351, 352, 429, 636, 1027?\nAnswer: 1656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight fifteenths of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.88 times 3\nAnswer: 2.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 12*n**5 - 1276*n**4 + 40900*n**3 - 372196*n**2 + 1073856*n - 318096 = 0.\nAnswer: 1\/3, 6, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 8\/2162437?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -39, -82, -125, -168?\n\"Answer: -43*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + c. Let d be b(0). Suppose 8*r - 6*r = 128. Suppose 4*y = -d*y + r. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/221 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/(-130) - (-174)\/(-870)) + 0 + 1?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.962 - -1.262. What is the second smallest value in z, -1\/3, -39?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27 - -42?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 765243.6 centimeters?\nAnswer: 7652436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 100840439 to the nearest integer?\nAnswer: 10042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00152891 to five decimal places.\nAnswer: -0.00153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 892309?\nAnswer: 11, 81119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1201 - 121?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 7 = -4*h, -3*h - 2 = 3*k - 5. Let y be -4 + 18\/3 - (-752)\/2. What is the second derivative of 33*f**3 - 419*f + 3*f**k + y*f wrt f?\nAnswer: 216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6640763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.0082023 millimeters?\nAnswer: 0.0000000082023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 - 2*v**3 + 228*v**4 - 3*v - 226*v**4 + 1 - 2*v**2 in the form h*v + n*v**3 + z*v**2 + a*v**4 + l and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 20. Let u = t - 17.99972. Round u to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + -5 + sqrt(2) + 1)**2.\nAnswer: -16*sqrt(2) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15901151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 318*f - 218. Let b be v(6). Calculate the highest common divisor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -143461 - 4?\nAnswer: -143465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 307877587 or 307877586?\nAnswer: 307877587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**3 + 34*s**3 + 13479*s**2 - 13440*s**2 wrt s?\nAnswer: 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -419567613 - -510623.\nAnswer: -419056990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110490153 - -6009849. Suppose 170*g = 166*g + 20. Suppose 5*r + i = -l, 0 = -r + g*l + 1089642 - 24389632. Round r to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b274a - 2?\nAnswer: b2748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 - 190*a**2 + 7582*a - 120. Calculate f(133).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -14a84?\nAnswer: 14a83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 677*f + 18 = -674*f, -c - 1 = -4*f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13 + 20b625?\nAnswer: 20b638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/3477 and -59\/4959?\nAnswer: 302499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/(o\/(o*o\/o**(6\/5)*o)))*o**(-5\/3))**(-9\/5))**(32\/3))**9 assuming o is positive.\nAnswer: o**(10656\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -a15da (base 15) to base 10\nAnswer: -510955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohcchcchhnoooon. What is prob of picking 1 h and 1 o?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 + -23?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 4 = -3*g. Let n be (-76)\/6*(-9 - g). Let u = 159 - n. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 23759500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(1 - -2) - 6. Let v(c) = 7*c**3 + 7*c**2 + 5*c - 4. Let r(g) = 8*g**3 + 7*g**2 + 5*g - 5. Let h(w) = 6*r(w) - 7*v(w). Give h(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -2*z + 16. What is the highest common factor of 360 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of p**6\/180 + p**5\/40 + p**4\/8 - 65*p**3\/3 + 2*p + 48. Let v(u) be the third derivative of h(u). Determine v(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 10 = -5*d, 0 = 4*t - 4*d - 9 + 25. Let u be 3\/3 - t\/3. Let j(p) = 7*p**3 - 2*p**2 + 2*p. Is 12 a factor of j(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14231, 56921, 128071, 227681, 355751, 512281?\nAnswer: 697271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + i**2 + i - 1. Let j(k) = 4*k**2 + 7*k - 4. Give 4*c(q) - j(q).\nAnswer: -4*q**3 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -9\/4, 36\/5, 31?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -67826 divided by 8?\nAnswer: -33913\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/5, -556192\/19, -5, -0.3?\nAnswer: -556192\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 170304?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {t: 3, u: 3, h: 6, w: 6}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27755500 - -444133.\nAnswer: -27311367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-38)\/(-5) + (-4)\/(-10). Let b be 285\/12 - 6\/a. Let h = 39 - b. Does 8 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(-10) + 268\/335. Are -1\/1076 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 - 103 = -2*a. Let j be 8\/(-4*(a + 36\/(-8))). Let h(u) = 11*u**3 - 7*u - 3. Is h(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((2 + -3)\/1)\/(-1). Let g be 2*2 - (0 + s). Suppose g*x + 2 = 4*x. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.317 - -0.017. Put -4\/7, -3, v, 3 in descending order.\nAnswer: 3, v, -4\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3006 - 4.3006. Which is the biggest value? (a) 0 (b) v (c) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2*q - 3 + (0 + 0 - 3*q)*(0 - 2 + 1) - 3*q + 0*q + 5*q + (3*q + q - 6*q)*(4 - 3 + 3) + 3*q - 3*q - 4*q in the form n*q + r and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 39\/5*s**3 + 1\/5*s**5 + 16*s - 139\/5*s**2 + 0 + 19\/5*s**4 = 0.\nAnswer: -16, -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (300\/45*3\/10*-1)\/((-6)\/(-306))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1309, 2644, 3997, 5368?\n\"Answer: 9*l**2 + 1308*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*g - 1)*(-6*g - 4*g**2 + 5*g**2 + 14*g).\nAnswer: 2*g**3 + 16*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 + 5*t**2 - 5*t**2)*(2059 - 2059 - 678*t).\nAnswer: -2712*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p**3 + 16*p**3 + 13*p**3 + 117*p**3 - 152*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 13. Let d be s(10). Let v(u) be the first derivative of 33*u**2\/2 - 3*u - 2. Let k be v(d). What is the highest common factor of 16 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*c + 273 - 47 = 0, 2*j = -c + 111. Suppose -j = -0*w - w + 3*a, 0 = 4*w + 2*a - 182. What are the prime factors of w?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91230377 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**3 - 194938*r**2 - 12662648*r - 12467712 = 0 for r.\nAnswer: -97404, -64, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 4*s**2 - 24*s - 18. Give j(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + -2 + -1 - (sqrt(832) + 2)*-3)**2*-1.\nAnswer: -13321 - 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.69373011 - 0.03938243. Let q = -0.716112 - n. Let y = -0.017 + q. What is y rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2898, -0.5, 2\/9, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21963.1? (a) -3 (b) -2 (c) 2 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1048 - 1049. Let s = -12 + 10.8. Let p = s + 1. Which is the nearest to g? (a) 5 (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -11, 2 in ascending order.\nAnswer: -11, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -12*x**3 - 2*x**2 - 2*x - 2. Let k(d) = -25*d**3 - 5*d**2 - 7*d - 5. Calculate -2*k(p) + 5*q(p).\nAnswer: -10*p**3 + 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j - 2*j**2 - 3*j)*(647 + 1254 - 857) in the form i*j**2 + m*j + n and give i.\nAnswer: -2088","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 12:01 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 447723979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 842 in -5, -0.1, 9\/2, -3?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 2\/(32\/34). Let v be (-6)\/(-16)*((-50)\/(-50))\/((-3)\/(-2)). Factor c*f**3 + 0*f + v*f**2 + 0.\nAnswer: f**2*(f + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 + 17*q - 20. Let y be t(7). What is the second smallest value in 0.3, -3\/4, y, -1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 267*r**2 + 10677*r - 134. Determine w(-40).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 4870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8484 = -b - 2*h, 3*b - 25448 = -h - h. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.47 minus 9.26?\nAnswer: -4.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*c + 9981988, -2*c - 6737206 - 13226786 = 2*i. Round i to the nearest one hundred thousand.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4)\/x**1)**(-5\/2)\/((x\/(x\/x**6))\/x**(-1\/2))**(-3) assuming x is positive.\nAnswer: x**(171\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - -2. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -326 + 361*v + 161 + 165 to y + d*v and give d.\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/(-10)*(-75)\/(-30). Solve 0 = -w + 2 + r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 825*b - 39666 + 30056 = -111085 for b.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180)\/sqrt(3))\/sqrt(6) + sqrt(10) + sqrt(10))\/(sqrt(18)*6) + 1)*2.\nAnswer: sqrt(5)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 248 (b) -2491 (c) -2.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168784 and 3500?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7013 - 7009. Which is the closest to -7? (a) -2\/15 (b) q (c) -24 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2147 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-6)\/(-1))\/2)\/(1059\/10943). Solve g = -7*p - 4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -19, 5, 4 in decreasing order.\nAnswer: 5, 4, -1, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, d: 2}. What is prob of picking 3 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 475 and 2075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -11*x**6\/20 + 2*x**3 - 37*x**2\/2 + 28. Let r(o) be the second derivative of i(o). Find the first derivative of r(b) wrt b.\nAnswer: -198*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 - 5*r + 5. Let i = 11 - 18. Let x = i + 2. Let j be z(x). Solve 0 = -t + 5*t - 5*v + 3, -2*v + 21 = j*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 7 - -1 - (-7 + 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 116 + -111. Calculate the remainder when 11*18\/u + (-2)\/(-5) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 928 and 203.\nAnswer: 6496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 881 divide 1357621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*y - 123, 3*x + y - 53 - 72 = 0. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*c - 132*c**4 - 122*c**4 + 381*c**4 + 231*c**3 - 118*c**4 as v*c**4 + b*c**3 + s + l*c**2 + o*c and give b.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 k when four letters picked without replacement from mbvvvbmbkvbmb.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1.84*-3\nAnswer: 5.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -j. Suppose -j*h - h - 36 = 0. Find the common denominator of -71\/34 and ((-87)\/60)\/((-2)\/h).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3503, 7036, 10585, 14156, 17755, 21388?\n\"Answer: x**3 + 2*x**2 + 3520*x - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1876, 2843, 3810, 4777, 5744, 6711?\nAnswer: 7678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**3\/6 + r. Let n(k) = 22. Let y(c) = c - 121. Let q(z) = -11*n(z) - 2*y(z). What is g(q(s))?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7049531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**3 + 5*y + 2. Let d(x) = -5*x**3 + x**2 + 14*x + 5. Let c(n) = -3*d(n) + 8*l(n). Suppose 0 = -15*h + 11 - 56. Determine c(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*(sqrt(125) - 5*sqrt(125))*-5.\nAnswer: -300*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -12*o**2 + 69*o. Let l(n) = 9*n**2 - 51*n. Let d(a) = -3*l(a) - 2*p(a). What is d(6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((2\/(-4)*(-2)\/5)\/(28\/(-14)))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -109 + 871\/8. Let h = -4 - -3.8. What is the nearest to 0 in 4, d, h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18538 divided by -420?\nAnswer: -9269\/210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -47\/347, -5, -5\/4, -0.5, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3565278892?\nAnswer: 2, 7, 569, 223781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 18. Suppose 0*v - 3*v = -c - 16, 0 = o*v - c - 20. Let u be 19\/(-4) - (-3)\/(-12). Sort u, 2, v in ascending order.\nAnswer: u, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3071, 6192, 9299, 12386, 15447, 18476?\nAnswer: 21467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 1410 = -2*p, 9*j + 2*p - 282 = 8*j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3831 - -3826. Let x(a) be the third derivative of -5*a**4\/24 - 2*a**3\/3 + a**2. Let m(t) = -10*t - 7. Give q*x(n) + 3*m(n).\nAnswer: -5*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/19)\/(w\/((w**(-5)\/w)\/w)*w))\/(w**5\/w*w*w**11))**(-1\/11) assuming w is positive.\nAnswer: w**(477\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3090913 - 3090913 - 24*g - 35*g**2 to the form n*g + w*g**2 + x and give w.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 - -29.7. Let t = b + -0.7. What is the second smallest value in 0.5, t, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139057, -139058, -139059, -139060?\nAnswer: -139061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 98 and 4949?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2*b - 3*c + 15, 0 = 4*b + 3*c - 15. Suppose b = -5*m - v + 9, -m + 6*m + 5*v - 5 = 0. Let a(n) = 3*n**3 - 3*n**2 + n - 2. Determine a(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(2\/14*-2). Let z(w) = 2*w - 8. What is the least common multiple of 70*(-9)\/(-180)*4 and z(g)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -j**5\/120 - 7*j**4\/24 - 49*j**3\/12 + 3*j**2. Solve z(l) = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**2\/7 - 9368*c\/7 + 9372\/7 = 0. What is c?\nAnswer: -2343, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34295783453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -9496.89387 to the nearest 100.\nAnswer: -9500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -24 (b) 3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -69 + (35 - 33) - -33\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -31. Let m = -2 - q. Calculate the highest common factor of m and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -286.39 + 292. Let a = o - 0.61. Put a, -1, 12, -3\/8 in increasing order.\nAnswer: -1, -3\/8, a, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17917 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 6*x + 7. Let g be b(7). Let c(t) be the first derivative of 0*t**2 + 0*t + 1\/4*t**4 + g*t**3 + 1\/5*t**5 + 1. Factor c(v).\nAnswer: v**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 2153 = -3*s + 2116, 82*v + s = -s - 2122 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 90.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63813197 is divided by 516.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1605, 2905, 4217, 5547, 6901?\n\"Answer: b**3 + 1293*b + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2266 - -2266. Is -1\/10468 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -102075*t + 54589.\nAnswer: -102075","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 6:38 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, v: 5, r: 5, g: 1}. What is prob of picking 2 r and 2 t?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 797838 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1147 - -1161. What is the remainder when q is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 4*w - 159. Determine b(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*y = -y - 45, 5*j - 2*y - 52 = 0. Let o = 10 - j. Sort o, -1, 5.\nAnswer: -1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 278.47 - 16161994835.\nAnswer: -16161994556.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 541 = 4*k + 548, 8*z + 12 = -4*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27465, 1, -2, 2 in descending order.\nAnswer: 2, 1, -2, -27465","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 3*i**2 + 3. Let z be p(3). What is the first derivative of 3*x - 3*x + 2*x - z + x wrt x?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3536431247 rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/7, 20, -715, 2\/7.\nAnswer: -715, 2\/7, 9\/7, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 14*d**2 - d + 18. Let i be a(14). Let c(s) = -2*s**2 + 10*s - 4. Let k be c(i). Solve -2*p - k*b + 14 = p, -p - 4*b + 18 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 2:04 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -27*w**3 + 2259*w**2 + 717*w + 3266. Determine z(84).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + 2\/(6\/(-21)). Let v = 106 - 72. Calculate the remainder when v is divided by 5\/20 + (-142)\/f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37767\/14 + -2697. Which is the fourth smallest value? (a) -0.2 (b) u (c) -1 (d) -4 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34937612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5744, -3, -17, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 4. Suppose h*i + 5*i = 680. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 2*m**2 + 3*m + 2. Let x be a(3). Suppose p = -x*p + 6. Let v be 6 - (4 + -1 - p). Solve -3 = -v*r + 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147 is divided by 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*((-324)\/21)\/(-12)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6804 and 54564.\nAnswer: 30937788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 444, 654, 866, 1080, 1296?\n\"Answer: p**2 + 207*p + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5102*w**3 + 791*w**2 + 2?\nAnswer: 30612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56894?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 267, 1\/891, -4 in ascending order.\nAnswer: -4, 1\/891, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (47 + -44)\/(((-15)\/(-2))\/(-5)). Let a(d) be the first derivative of -4*d**2 - 3*d + 2. What is a(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218831 > 218484?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -344.22 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 547\/(-37196) + 16734\/408?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 341812445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 7653856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16734291172 and -5502.\nAnswer: 16734285670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -669 - 651 = 79*o + 260 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 211 - 411\/2. Calculate the common denominator of z and 51\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjjb when four letters picked without replacement from {k: 1, j: 2, b: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165 + 149 = 4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + g**2 - g + g**3 + 0*g - 1 in the form n*g**3 + s + a*g**2 + b*g and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -11 (c) -1.69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 32*j = -196, -6554*j - 352 = -5*z - 6551*j for z.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5 - 12*s**4 - 33*s**3 + 34*s**2 + 84*s - 72.\nAnswer: -(s - 1)**2*(s + 2)*(s + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15538, 15539, 15540?\nAnswer: 15541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5026 is divided by 49?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 235058, 469505, 703952, 938399, 1172846, 1407293?\nAnswer: 1641740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -239.2 + 68942?\nAnswer: 68702.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42688 and 3074.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**5\/10 - y**4\/12 - 2*y + 1. Let x(o) be the first derivative of q(o). What is the third derivative of x(p) wrt p?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.063 - 0.163. Let v be -1 + -2*3\/(-14). What is the third biggest value in -2, v, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(900) + sqrt(900) - sqrt(900)) + sqrt(900))\/sqrt(12).\nAnswer: 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c + 3. Give p(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 3. Suppose 5*m + u = -w + 43, 0 = 3*m + u - 26. What is the remainder when 29 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*d + 17 = 4*g, 4*g = 5*d + 37. Let n be (0 + (-1)\/2)*2. Let z be (-200)\/60 + 4\/3. Which is the nearest to n? (a) z (b) g (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 482 divide 25869489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 3*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 217 - 162. Suppose 8*p = 7*p + t. Calculate the lowest common multiple of 10 and p.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + f**2 - f - 1. Let i(s) = 5*s**3 + 4*s**2 - 5*s - 4. Determine -4*c(j) + i(j).\nAnswer: j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**5\/9 + 4471*n**4\/3 + 127307*n**3\/9 + 142900*n**2\/3 + 616172*n\/9 + 107152\/3 = 0.\nAnswer: -6697, -4, -2, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 6. Let q = -4 + w. Let z = -0.5 + 2.5. Which is the closest to 0? (a) q (b) z (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 4*w = -2*b - 13, -5*w - b - 29 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 AM and 4:44 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 5*u**2 - 2*u + 8. What is d(4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2e8 (base 16) to base 15\nAnswer: -349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -29, -59, -75, -71, -41?\n\"Answer: a**3 + a**2 - 40*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75 + (-1 - -3 - 3) - -2) + 4858 + -4866?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87 + 136. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*c + 14 - 35 + 21 - 3*c**4 wrt c.\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 168121682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -4*z**2 - 113*z - 8. Let s be q(-29). Let a be (513\/s)\/(1\/(-5)). What is the greatest common divisor of 234 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.4?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p**3 + 3*p**2 + p + 2. Let x(f) = -f**2 + 9*f - 6. Let m(k) = 9*k**2 - k + 1. Let r be m(1). Let z be x(r). Let b be 8\/(-6) - z\/(-9). What is j(b)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 - 644*i - 37041. Determine g(-47).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 0*n + 9 = 0. Solve 2*h - n = -y, 2*h = 4*y - 15 + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + 5*-2*sqrt(304) + (sqrt(304) + sqrt(304) + -1 + -5)**2).\nAnswer: -136*sqrt(19) + 1248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**25*(n**(-1\/4))**20 assuming n is positive.\nAnswer: n**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 4*t + 50 = -2*u, -4*t = 5*u - 94. What is the least common multiple of u and 442?\nAnswer: 4862","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 715 - 712. Factor -3*g**2 + 6*g + 2*g**2 + 6*g**2 + 3*g**2 - 14*g**a.\nAnswer: -2*g*(g - 1)*(7*g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -0.02, 87 in ascending order.\nAnswer: -0.02, 2\/13, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11652.073 + 11652. What is the second smallest value in 7\/12, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 21 + 24 = 0. Suppose 2*c - p - 1 = 0. Suppose j - 8 = -3*d + 16, 4*j + 5*d - 82 = 0. What is the remainder when j is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1 - 4*s + s**2 + 4*s. Suppose 4*v = -k + 14, -5*k - 4*v - 4 = -26. Let f(h) = h**k + 5251*h - 6 - 5250*h + 3*h**2. Calculate f(l) - 6*g(l).\nAnswer: -2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 172 = 370*r - 188*r - 187*r + 3*p, 196 = 4*p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + p + 1. Let y(x) = 4*x**2 - 5*x - 5. Let z = -3 + 2. Determine z*y(j) - 5*n(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32111 - 2*p**2 + 32111 + 5*p)*(6*p - 116 + 116) as q*p + g*p**3 + j*p**2 + v and give j.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/121 - 4\/22. Suppose 12*q - 4*q - 304 = s. Let i = 50 - q. Calculate the lowest common multiple of 16 and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17.6 or 172909?\nAnswer: -17.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 5:30 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-7 + 5 - (-8 - -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, z: 1, j: 8, d: 5}. Give prob of picking 2 x and 2 d.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1188 or -1193?\nAnswer: -1193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/20 and -67\/1128.\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 - x**4 + 1)*(-14 + 47 + 28 + 18)*(15 + 14 + 5) to the form y*x**3 + v*x**2 + f*x**4 + r*x + z and give f.\nAnswer: -2686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 415 in -1\/4, 63, 1\/8?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18497443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-301)\/(-5) + 3*5\/(-75). What is the highest common divisor of f and 960?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-14)*(-3)\/(-2)*3\/(-9)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 6 + r - 7 + 4*r**3 - r**4 - 6*r**3 in the form s + u*r**2 + h*r + d*r**3 + y*r**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62 - 62.00051. What is g rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 858881\/48 - 17892. What is the common denominator of -91\/160 and p?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14612 to the power of 1\/2, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4\/61 + 94\/427. Let t(k) = -2*k**2 + 9*k + 33. Let f be t(7). Let z be (f\/(-6))\/((-48)\/18). Which is the second biggest value? (a) z (b) 2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.48 and -0.68.\nAnswer: -1.6864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that x**5 - 1198*x**4 - 6008*x**3 - 8418*x**2 - 3609*x = 0.\nAnswer: -3, -1, 0, 1203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -4. Suppose v*w = -3*l + 21, -4*l + 5*w = -l + 3. Let m(a) = a**3 + 4*a**2 - 7. Let d be m(-3). Solve 0 = h + d*h - 12, -l*h = -3*t - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 228 = -2*b. Suppose -3*z = -12 - b. Suppose 3*v - 2*v = z. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2715069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 1 - 2*h**2 - 1. Let n(p) = -p**2 + 19*p - 84. Let g be n(11). Let x(o) = 2*o - 8*o - g*o - 7*o. Give m(x(b)).\nAnswer: -578*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -11*o**2 - 13*o - 13. Let l(k) = 5*k**2 + 6*k + 6. Let n(g) = -13*l(g) - 6*q(g). Let t(i) = -46*i. Calculate t(n(y)).\nAnswer: -46*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -413, -1296, -3117, -6344, -11445, -18888?\n\"Answer: -78*k**3 - k**2 - 334*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 3*a + 108, 0*l - 3*a = -l + 36. Is 11 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1866954, -3733915, -5600876, -7467837?\n\"Answer: -1866961*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 327544035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/1817 - 34533\/18170. Let n(a) = a**2 - 26*a - 795. Let m be n(44). Is m != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 0 - 1\/60*j**6 + 0*j**3 - 5\/8*j**4 + 3*j**2 + 0*j + 0*j**5. What is the second derivative of x(a) wrt a?\nAnswer: -12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8379\/441*(-20)\/(-44650).\nAnswer: 2\/235","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in seconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6749?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**38)\/((t\/(t*t**43*t*t))\/t*t)*(t*t*t**(1\/10)*t*t)\/(t*t**33))**17 assuming t is positive.\nAnswer: t**(9197\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 89*y**3 - 3*y. Let v(r) = -89*r**3 + 4*r. Give 4*k(f) + 3*v(f).\nAnswer: 89*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/2079*9*-231?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -15. Let b be 4*(m\/2 + 1). Suppose -x = -3*x + 22. Calculate the highest common divisor of x and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.621077 to three decimal places.\nAnswer: 0.621","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003762915 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 8:40 PM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -511.3 - -511. What is the biggest value in -0.16, 1\/6, k, 0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3498*d - 8935*d + 5165*d.\nAnswer: -272*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 795*l**2 + 14275*l - 637. Determine o(-18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1633 - 803. Which is smaller: r or 825?\nAnswer: 825","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1371.449 + -1365.2004646. Let i = d + -6.30657. Let j = 0.058 + i. Round j to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 7*s**2 - 2*s + 2. Let f be l(-7). Suppose -t = t - f. Is 8 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -7, 2, -1, 3, 436 in decreasing order.\nAnswer: 436, 3, 2, 1, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506 - -4?\nAnswer: 1510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 + -139 + (-67 - 0).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/18 and -9\/50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -c - 8. Let v be 1\/(9\/30)*-3. Let p = v + c. Solve 2*f = -o - p, 5*o = f - 6 - 5 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 637, 1301, 1959, 2611?\nAnswer: 3257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 2*f + 775 = 0. Let n = f - 105. Suppose 0 = -7*y + 2*y + n. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - 5*sqrt(12)) + 2.\nAnswer: -9*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5, 26, 109, 268, 527, 910, 1441?\n\"Answer: 4*q**3 + 2*q**2 - 3*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 107*k - 16. Let j(l) = 26*l - 4. What is -9*j(d) + 2*v(d)?\nAnswer: 2*d**2 - 20*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7287 and 98895?\nAnswer: 692265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2 + 2*x - 12. Is g(-11) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - -60. Let q = h + -31. Let f(d) = d**3 + 22*d**2 - 24*d - 18. Let o be f(-23). Calculate the highest common divisor of q and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(198) - (-1*sqrt(198) - sqrt(198))*4)\/(5*sqrt(44)\/sqrt(4)) - (1 + sqrt(2592))*1*-5)**2.\nAnswer: 1854*sqrt(2) + 1719283\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 - 0) + 5 + -2. Suppose -t + 33 = 3*w, 0 = 2*t + f*t + 12. 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: In base 6, what is 1101443 + -2?\nAnswer: 1101441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136548*q - 136574*q + 416 = 0 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (114 + 1 - -8)*(-3 - -2)*(-8)\/24.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.016 + 2.7487\nAnswer: 2.7327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 9*k**5 - k + 3. Suppose -3 = 5*a - 8. Let g(o) = -o**5 + o - 1. Let z(s) = a*d(s) + 3*g(s). What is the second derivative of z(u) wrt u?\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308.851 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 721 divide 1134607288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 10*s**2 + 8*s - 7. Let g be v(-9). Let l be 144\/30 - (g - -1). Suppose -19*r + 33 = 14. Which is smaller: r or l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/13, 0.5, 7 in descending order.\nAnswer: 7, 0.5, -1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 6*r - 6. Let z(p) be the second derivative of -p**3\/6 - p**2\/2 + 21*p. Calculate -2*w(s) + 14*z(s).\nAnswer: 2*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 584*p + 68*p**2 + 3 + 574*p + (-7 + 2 + 2)*(2*p**2 + 5*p**2 - 5*p**2) - 4*p**2 + 4*p**2 - 2*p**2 in the form l*p + y*p**2 + s and give y.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**8*g))\/(g\/g**(-8)) assuming g is positive.\nAnswer: g**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - 3393261.\nAnswer: -3393237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/8)\/((-58)\/(-232))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*a - 3. Let z(v) be the second derivative of -v**4\/12 - v**3\/6 + v**2\/2 - 509*v. Let b(j) = -2*j**3 - 3*j**2 - 3*j + 1. Give a*z(u) - b(u).\nAnswer: 2*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(77\/12667) + -1. Let z = 299528 + -4191115\/14. Let v = c + z. Calculate the common denominator of -65\/8 and v.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2*n - 106 = -38, 4*v = -5*n - 172. Let f = -75\/2 - v. Which is the nearest to -0.1? (a) f (b) 3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*u**3 - 8*u**2 - 75*u**4 + 1 + 11*u**3 + 43*u**4 + 35*u**4 as g*u**4 + h + f*u**3 + o*u**2 + z*u and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7941*z**5 - 3196*z**5 + 12125*z**2 - 392*z**5 + 344*z**2 wrt z?\nAnswer: -691740*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + sqrt(112)).\nAnswer: -20*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 11*z + 22. Let u = 52 - 42. What are the prime factors of g(u)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5, 3\/8, 4, 10\/53?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/5 + -547*2\/(-448). Let k = u - 5\/32. Put 0.08, -4, k in decreasing order.\nAnswer: k, 0.08, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n. What is h(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 72.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130 divided by 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 28886*p + 1 + 28886*p + p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 1068*d - 289396. What is q(271)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-10) + 10\/(-25). Solve 0*q - q - 2*s + 10 = g, 4*s - 16 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8736076.\nAnswer: 2, 29, 127, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-7) - 45\/(-7). Let l = 12 - s. What is the remainder when l is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f**3 + 5*f**3 - 3*f**3 + (-f - f + 0*f)*(6 - 6 + 3*f**2).\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 k, and 1 z when three letters picked without replacement from {y: 3, z: 2, k: 3, s: 7, g: 1, q: 2}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 14 + 2 + 10*i**2 - 17. Calculate j(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -58, -53, -46, -37, -26?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i + 4. Let u = 3\/13 + -5\/78. Let x(g) be the second derivative of u*g**3 + 4*g + 1\/2*g**2 + 0. Calculate -t(r) + 4*x(r).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 3*m - 18, -242*z + 240*z - 2 = 3*m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160298495, -160298501, -160298511, -160298525, -160298543, -160298565, -160298591?\nAnswer: -160298621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n + 11*n - 14*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 36223211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/956052 and -23\/637368?\nAnswer: 1912104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/17, 0.4, 0.1, 1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -398 - -396. Sort k, 0.5, -2\/25, -0.5 in descending order.\nAnswer: 0.5, -2\/25, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6296 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 21466\nAnswer: -10733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfiiisfitifffisfi. Give prob of picking 1 s, 1 f, and 1 t.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -507, -1015, -1509, -1983, -2431?\nAnswer: -2847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**3 + 10*n**2 - 6*n + 13. Give t(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1734909?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(66) - sqrt(66)*1) + sqrt(66))*-6*3)\/((3*sqrt(1350))\/sqrt(9)*4).\nAnswer: -3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 47 - -39d0b?\nAnswer: 39d54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 16*q + 39. Let x(t) = -t**2 + 17*t + 39. Let a(d) = 3*x(d) - 4*y(d). Let p be a(16). Solve -3*m + 0*m = -p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 47825 + 47855 = -2*f, q = 2*f + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 5*((sqrt(637) + 0)**2 + sqrt(637)))*-4 + 5*(sqrt(637) + -3 + sqrt(637)) + sqrt(637) + (sqrt(637) - -5*sqrt(637)*1).\nAnswer: -12775 - 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 141974524*v + 17263340 wrt v.\nAnswer: 141974524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358509 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(175) + 2 + (-1 + sqrt(175) - sqrt(175)) + sqrt(175) + sqrt(175)))**2 - (-3 + -1 + sqrt(175) + -3).\nAnswer: 115*sqrt(7) + 6311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 0*a**6 + 0*a**3 - 1\/12*a**4 + 8\/21*a**7 + 0*a**5 + 0*a**2 - 14*a + 0. Find the third derivative of p(o) wrt o.\nAnswer: 960*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1851, -7392, -16617, -29526?\nAnswer: -46119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -37, -254, -841, -1984, -3869, -6682, -10609, -15836?\n\"Answer: -31*f**3 + f**2 - 3*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 153.001 + -0.001. Let a = -153.4 + v. What is the closest to 8 in -1, a, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236262 is divided by 9449?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353*p + 353*p - 3*p**3 + 22*p**3.\nAnswer: 19*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) 1 (c) -1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-200)\/(-30))\/(-5) + (-4)\/6 - -4. What is the closest to 92 in 0.2, t, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -192*q - 950. Let d be v(-5). Let f = -13 + 27. Suppose d*o - f*o + 3548 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 2, 57, -3, -1 in increasing order.\nAnswer: -3, -1, 2, 3, 4, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4539*c - 6*c**2 - 4539*c - c**3 - 16 - 65*c**4 wrt c?\nAnswer: -1560*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*o + 955 = -2477. Suppose -454 = -6*p + 1526. Calculate the highest common factor of o and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -9*f**3 - f**3 - 1 + 0*f**3. What is the units digit of y(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 136 - 97. Are o and 0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 20*n - 22. Let x be c(22). Let w be (177\/(-9) - -2) + (-44)\/x. Does 0.02 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -221*i - 220*i + 442*i. Let p(r) = 15*r. Give h(p(q)).\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -59*o**5 + 93*o**2\/2 + 3*o - 670. Find the second derivative of c(b) wrt b.\nAnswer: -3540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -15*d + 77. Let r be o(5). Factor -7*y**4 + 3*y**4 - 18*y**3 - 6*y**3 - 24*y - 8*y - 48*y**r.\nAnswer: -4*y*(y + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 74*g + 6*g - 20 + 100 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 800*n + 23801 = -69*n - 1400 for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -77 (b) 546 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.1 (b) 5 (c) -0.2 (d) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 570592808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -78 and 1.1.\nAnswer: -76.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -168, -330, -492, -654, -816, -978?\nAnswer: -1140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + -1 - (-33 - -65 - 41)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.07 (c) 4\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) -0.2 (b) 644 (c) -0.1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n. Let t(g) = -9*g. Suppose 8*c + 1 = 17. Suppose -3*x - x = -20. Determine c*t(b) + x*o(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231703278?\nAnswer: 2, 3, 4423, 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*x + 370 = 0, 2*n - 4*x + 48 = 454. Suppose 3*s + 0*s - n = 0. Let i = s - -20. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 221*r + 12. Let p(s) = 884*s + 51. What is -4*p(m) + 17*v(m)?\nAnswer: 221*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -23 + 0 + -1 + 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 5*f - 17 = 287, -296 = -3*v - f. Suppose 9 = 3*o, -v = -5*b + 4*o - 0*o. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4958052 divided by 44\nAnswer: 112683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128463808 and 16566.\nAnswer: 5522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -91 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -9746855*g. Let h(t) = -10*t**2. Calculate h(u(l)).\nAnswer: -950011823910250*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4732 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15135 - -21563. What are the prime factors of g?\nAnswer: 2, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 0*c - g - 161, 2*c + 3*g + 83 = 0. Let k = 291 + c. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*f**4 + 37*f - 1332.\nAnswer: 80*f**3 + 37","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxfyxrhrfyrhhhhhhfy. What is prob of sequence fyh?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 18693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/10 and -91\/908.\nAnswer: 4540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**7*y*y**(4\/5))\/(y**1)**(-50) assuming y is positive.\nAnswer: y**(229\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1097325 plus 77?\nAnswer: -1097248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.41 times 1073?\nAnswer: -439.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddw when four letters picked without replacement from {d: 4, w: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 353 = 3*i - 25*n + 24*n, 0 = -5*i + 5*n + 605. Solve s - 121 + i = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 8*a - 76. Give b(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 629571 (base 13) in base 14?\nAnswer: 440330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1*(-13 - -132485)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(336) + sqrt(336)*2)*6*-2)\/((sqrt(7) + -1*sqrt(7))*1 + sqrt(14)\/(sqrt(14)\/sqrt(7))))**2.\nAnswer: 62208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3291492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -18*p**2 - 1 + 11*p - p**3 - 9 + 36*p**2. What is the units digit of n(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 9 = 2*o. Suppose 6*d = o*d + 99. Suppose -n + 2*y = 1, 0 = -n + 3*y + 9 - 12. What is the greatest common divisor of d and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 442*a**2 + 5214 wrt a?\nAnswer: 884*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 9*o - 15 = 0. Suppose -3*r = -m - o*m - 11, 2*m + r = -3. Calculate the common denominator of 14\/3 and (40\/165)\/(m\/15).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 6:55 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 49*f - 40. Calculate the remainder when p(3) is divided by (-6 + 9\/(-3))*-3.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*g**2 - 4*g**2 + 1 - 39*g**2 in the form o + f*g**2 + p*g and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - 0.2. Let k = z - -0.1. Let j = 49 + -51. Which is the closest to j? (a) k (b) 0.5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1014 - 0.08378087.\nAnswer: -0.18518087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 11*m - 6*m = -12, n - m = 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*g = -3*s + 22270, 3*s - 111338 = -5*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27944 is divided by 3962.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2787, 4, 2, -207 in descending order.\nAnswer: 4, 2, -207, -2787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6288, 2\/3, -13.\nAnswer: -6288, -13, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(51)\/sqrt(3) + 3)*-4 + 5.\nAnswer: -4*sqrt(17) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-9\/11)\/r**(13\/5)*r\/r**(7\/9)*r*r**27*r assuming r is positive.\nAnswer: r**(12773\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.95 + -0.05. Let n = w + 7. Let m = 0 + n. Which is the second smallest value? (a) m (b) 0.3 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 157926175.\nAnswer: 157926174.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = -3*k + 52. Let g = k + -8. Suppose 2*o - g = -22. Calculate the remainder when o is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 6*z - 7. Let o(k) = 4*k**2 - k. Let i be o(-1). Solve i*g = -z*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**5\/5 - 46*t**4\/5 - 326*t**3\/5 - 722*t**2\/5 - 128*t - 40 = 0?\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 16 = -9*p + 4*p, 5*p = 2*o - 28. Suppose 0 = -0*h + 7*h - 56. Suppose h = o*t - 64. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50077\/40 - -1252. Let z(h) be the second derivative of -5\/112*h**7 + 18*h + 0*h**2 + m*h**5 + 0*h**3 + 0 + 0*h**4 - 1\/10*h**6. Factor z(c).\nAnswer: -3*c**3*(c + 2)*(5*c - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 4112019511?\nAnswer: 4112019511.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e6 + -26a6?\nAnswer: -22b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1906, -4, 46, 1 in descending order.\nAnswer: 46, 1, 0, -4, -1906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from saceceasc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11237467 (base 10) in base 15?\nAnswer: ebe947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6152018 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - (0 + -2))*0. Suppose -g = -h - 3. Suppose 7*o - 2*o - 15 = -v, -v = g*o - 9. Solve 0*w = -o*w - 6 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.31 - -0.01. Let z = y + 0.3. Which is the closest to -0.1? (a) 1\/3 (b) -1.3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3824, 5, -3 in ascending order.\nAnswer: -3, 5, 3824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + -59. Let w = s - -130. Is -1 greater than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 - -0.5. Let w = 2020\/7 + -288. What is the biggest value in w, y, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-15))\/((-2)\/10). Suppose 4*l - y = -34. Let i(b) = -b + 2. What is the lowest common multiple of 10 and i(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 7:27 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-3\/19)*c*((c\/c**5)\/c)\/c*(c**(-2))**49)**(-7) assuming c is positive.\nAnswer: c**(13587\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 154009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.249 and -1753?\nAnswer: 1750.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*i - 0*i + 18, -l = -3*i - 13. Let t be 0\/l - (16 + -11). Which is smaller: t or 6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88500 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 58, 138, 252, 400?\nAnswer: 582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.08 - -0.91. Let c = b - 0.86. Sort -0.12, c, -5 in descending order.\nAnswer: c, -0.12, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 557234 and -1426093.\nAnswer: -868859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - -18)\/(-1 + 2). Let d = -100 + 144. Let x = d - q. Solve -5*t - x = 0, -3*r - t = 2*t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9469 or -9398?\nAnswer: -9469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-26)*x\/(x**20\/x))\/(x*x**(-1\/3))**(-13))**(-19) assuming x is positive.\nAnswer: x**(1957\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 + 57 = 8*j. Calculate the highest common factor of j and 703.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - (3 - (-2 - -3)). Let x = a - 4. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.09, -4, 0.3, 0.2 in decreasing order.\nAnswer: 0.4, 0.3, 0.2, -0.09, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2 + 5*j**2 - 4*j**2. Suppose -5*c = -8*c + 12. Let l(m) = -5*m + 11*m - c*m. Determine l(w(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5770 - 5768 - h + 48*h.\nAnswer: 47*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s + 0*s - 181 + 93 = 0. Let k = -71 + 171. Calculate the greatest common factor of s and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*l**2*q**2 - 214*l**2 + 2*l*q**2 + 6*l*q wrt q.\nAnswer: 8*l**2*q + 4*l*q + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-55) - 132\/20?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5 - 47 = 0. Let m = 39 - a. Let k = -1 + m. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/7 (b) 15612323 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -4*z**4 + 1387248*z**3 - 120277176084*z**2 - 240559901192*z = 0.\nAnswer: -2, 0, 173407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43\/26 - -210\/13. Calculate the common denominator of s and -2 + 213*(-4)\/(-96).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 88*n**2 + 62*n - 20*n - 17*n - 142*n**2 - 23*n to y*n + h + m*n**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 3:15 AM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, p: 2, o: 2, m: 3}. Give prob of sequence bmo.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 17520?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 3:03 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*h - 41*h - 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/3)\/(4\/6). Let m be -3*(r - (0 + 0)). Solve 2*k + 3 = -m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of v**3\/3 - 9*v**2\/2 - 20*v - 2. What is q(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 24, 4?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8*101254\nAnswer: -810032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2285274214?\nAnswer: 2, 16451, 69457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 20. Suppose 0 = -6*u + 9*u + 18. Calculate the least common multiple of (u\/3)\/((21\/9)\/(-7)) and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5704 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 37358161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 150, 244, 386, 582, 838, 1160, 1554?\nAnswer: 2026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= -364\/110153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1299 + -1289. Calculate the highest common divisor of a and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7163, -14327, -21491, -28655?\nAnswer: -35819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -13 + 2 + 3 + 7 - 9*n. Let s(r) = -r. Give s(b(u)).\nAnswer: 9*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -593.2 * -946\nAnswer: 561167.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -19. Let y be 0\/(1\/((-2)\/4)). Suppose -5*f + 0 = 3*g + 3, -5*g + f - 5 = y. Put 4\/3, g, h in descending order.\nAnswer: 4\/3, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12564 divided by 349?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 394\/50*70\/(-56) + 0\/(-3) + 10.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 990260069 and 4066?\nAnswer: 2033","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -2.10686.\nAnswer: -2.10686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10621.\nAnswer: 13, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -31*y. Let s(i) = -13983*i**2. What is s(z(g))?\nAnswer: -13437663*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4114373200?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 583*z - 592*z + 495 for z.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*y = -31*y + 31*y + 294 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 440392?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*x + 4 = -2, 0 = -2*z - 2*x + 4. Solve 0*i + 2\/3*i**2 + z = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4608 - -0.48569. What is s rounded to 4 dps?\nAnswer: 0.0249","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c**(2\/3)\/c)))**(-29\/2))**(-39) assuming c is positive.\nAnswer: c**(-377\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 133577, 267174, 400775, 534380?\n\"Answer: 2*u**2 + 133591*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 4*t + 2. Let b be 2 + ((-2)\/1 - -3). Let c be l(b). Let d(v) = 34*v**2 + 2*v + 1. Is d(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -5 (b) 6907 (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - n + 7, -4*t - 4*n + 107 - 111 = 0. Solve 0 = a - t*p - 3, -a - 5 = -2*p + 6*p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 403 and 223379?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.27 - -3.53. Which is the third biggest value? (a) 5 (b) -4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 67973694 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2570536 and 1224.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a4 - -11a397?\nAnswer: 11a56b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w - 6. Suppose 0 = 5*h - 2 - 13. Let m(s) = -2 - 2 + 6 - h. Let i(r) = 2*m(r) - n(r). Let x(y) = y - 1. Calculate i(k) + 5*x(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5856788cm in kilometers?\nAnswer: 0.000005856788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*a**2 + 0*a**2 + a**3 - 7*a**2 - 5*a - 2*a**4 in the form y + g*a + s*a**2 + i*a**3 + o*a**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*g, -98 = -2*h - h + 5*g. Let m = -30 + h. Is m bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, a: 1, r: 13, j: 2, f: 3}. What is prob of picking 1 j and 1 p?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*j - 134*j - 609 = 0 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 2:06 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12938.0745 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/7))**30)**(-28) assuming o is positive.\nAnswer: o**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11760 (base 13) in base 4?\nAnswer: 13310103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3746 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(171) + -1*sqrt(171)*6)\/sqrt(9) - (-1 + (1*sqrt(1900))**2))*-4 + -3.\nAnswer: 20*sqrt(19) + 7597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*y + 79 = -1608 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -12. Suppose -3*q + 6*q - 84 = n. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-3 - -2 - (-7 + 3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -11*j - 73. Let y(b) = -4*b - 25. Determine 8*y(n) - 3*z(n).\nAnswer: n + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 2\/11, 0, -173?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 5 (c) -1\/18 (d) 1\/125\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, 4, 54\/59?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, s: 3, h: 7, w: 1}. Give prob of sequence wc.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 1335.\nAnswer: 4005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 647 = 7*o + 605. Let f(n) = -n**2 + 6*n + 2. Determine f(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -371*s + 376*s - 6355. What is the greatest common divisor of s and 410?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0973 - -13.1073. Let q = -109 + 94.7. Let i = p + q. What is i rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5326 + -4.4674. Is -2.84 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2230991 divided by -3\nAnswer: 2230991\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, e: 4, w: 2, u: 10}. What is prob of picking 1 u and 1 e?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 - -30.03. Let j = 320621440 - 320621470.00000002. Let c = j + g. What is c rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 610, 2429, 5460, 9703, 15158?\nAnswer: 21825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*k + 147 = -33. Suppose -2*j - 2*j + k*w + 86 = 0, -92 = -4*j + 2*w. What is the greatest common divisor of 24 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1591773105.\nAnswer: 3, 5, 13, 8162939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-7)\/(-1) + 117933\/(-17556) and -107\/44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418884777 to the power of 1\/4, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-3 + 0)) + (157 - 143)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.2 + -0.2. Let g = 145 - 226. Let q = g + 406\/5. Which is the closest to i? (a) 3\/2 (b) -5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -65? (a) -0.03 (b) -22 (c) -2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-45)\/12*8\/18*-3. Let m be (3 - k)\/((-10)\/(-45))*-9. Let y = 14 - 5. Calculate the greatest common divisor of m and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -802 (base 16) in base 10?\nAnswer: -2050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + c - 4. Calculate the least common multiple of g(3) and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13775060417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/1292 and 25\/198.\nAnswer: 127908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -122 - -124. What is the third derivative of 25*r**2 + 6*r**x + 4*r**6 - 14*r**2 + 15*r**6 wrt r?\nAnswer: 2280*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/6)\/((-1)\/(-27)). Suppose -4*r = -x - o, 5*r - 7 - 5 = 2*x. Let h(z) = 0*z - 3*z - 1 + 2*z**r - z**2. What is h(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a9 + 5?\nAnswer: 1ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 3:59 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + (sqrt(11) - (-1 + sqrt(1100)) - (-1*sqrt(539))**2) + 0 + -4*(sqrt(176) + 4)).\nAnswer: 75*sqrt(11) + 1668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**3 - 15*i**2 + 7*i + 9. What is u(-5)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 - 52. Suppose 3 = -a - 3*n, 2*n - 5*n = -d*a + 39. What is the highest common divisor of a and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/7 - 58224*s**3\/7 - 2337360*s**2 - 163811200*s.\nAnswer: s*(s - 58504)*(s + 140)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 3\/2*p**2 - 4 + 1\/4*p**4 - p - p**3. Factor o(n).\nAnswer: (n - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) -5\/6 (b) -9 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 86 - 69*s**2 + 36*s**2 + 42*s**2 in the form z*s + a + t*s**2 and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 3 - 7. Let m = k + 7. What are the prime factors of m\/(0 + (2 - 1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 47*g**6\/15 + 3*g**4 + 66*g. Find the third derivative of n(o) wrt o.\nAnswer: 2256*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377382.\nAnswer: 2, 3, 62897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -10*i**2. Let n be ((-1)\/(-2))\/((-5)\/(-8 - 2)). Let x(r) = 2. Let q(y) = -y - 6. Let j(u) = n*q(u) + 3*x(u). Give b(j(w)).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.24 - -0.1. Let k = 59.6576994 - 59.5177. Let f = k + z. Round f to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (14\/7 - 9). Is -5\/22 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i - 2*i)*(-1 + 3 + 0) + 0*i + 0*i + 2*i - i - i + 78*i.\nAnswer: 74*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 424095678 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 5*s + 24. Let k be (7 - 6)\/(3\/21). Let n be f(k). Solve -4*u = -2*u - n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -2, -1, 19, 2 in decreasing order.\nAnswer: 20, 19, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -95653954*q**4 + 99128759*q wrt q.\nAnswer: -1147847448*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 4*r**4 + 35800384*r**3 + 80104218409216*r**2 = 0.\nAnswer: -4475048, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29.1 + 5.1. Let b = -199 + 176. Let x = h - b. What is the closest to 0 in 0.2, 3, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 127.02 + -2.02. Let i = 124.99999862 - u. What is i rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*y + 2*t, 0*t = 4*y + 3*t - 16. Solve 4*g = 13 + y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 449.6 - 450. Let f = -0.025 + 0.125. Let k = -0.1 - -0.1. Which is the closest to k? (a) -0.3 (b) v (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 15 = -5*x, j + 15 - 2 = 3*x. Suppose 255 = 5*s - x*q, 3*s - 231 = -s - 5*q. Let m = s - 41. Calculate the remainder when 24 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 - 17*j - 15 + 35*j - 6*j. Suppose -31*v + 20 = -27*v, -2*v - 2 = r. What is n(r)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 11:50 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 10*z - 3. Give c(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 127039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**4 - 3*p**4 - 2*p**5 + (-2 + 2 + 7*p**2)*(385*p**3 + 215*p**3 + 79*p**2 - 79*p**2).\nAnswer: 4198*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 0*l**2 + 2*l**2)*(-9 - 1 - 112*l + 111*l + 0).\nAnswer: -2*l**3 - 20*l**2 - 3*l - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25866 - 25846. What is the third smallest value in 3\/4, d, 0.04?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(1216)*2 + sqrt(1216) + sqrt(1216) - (-3*sqrt(1216)*-6)**2.\nAnswer: -393984 - 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33 and 2.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 244 and 0.8.\nAnswer: 195.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + d + 14 - 4*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*m**4 + 22*m - 293 wrt m?\nAnswer: 12*m**3 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ncnonnbnhncbnc. Give prob of sequence hoc.\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3595898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 469.\nAnswer: 4690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6755 take away -0.1?\nAnswer: -1.5755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 492\/215?\nAnswer: 492\/215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dle when three letters picked without replacement from {l: 2, h: 2, e: 1, k: 1, d: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3381510 divided by 5\nAnswer: -676302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68650 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1166156 (base 8) to base 5\nAnswer: 40311140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -48 - 16 - -11) + -16 + (10 - 1)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 14*t**2 - 2*t - 10. Let d(u) = 5*u - 5. Let a be d(-5). Let c = -44 - a. Does 5 divide v(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228 is divided by 48?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -133 + 136 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13043 (base 7) to base 13.\nAnswer: -1763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-96)\/(-20))\/6*-1. What is the nearest to y in -3, -2\/11, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2. Let a(n) = -7*n**2 - 21*n**2 + 11*n**2 - 2*n**2. Calculate k(a(w)).\nAnswer: -361*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of 557*z**6\/120 + 127*z**5\/6 - 640*z**2. What is the third derivative of r(t) wrt t?\nAnswer: 3342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/9*3\/8.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence isp when three letters picked without replacement from zkkzpikpsz?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + 13. Let c = 44 - q. What is the least common multiple of 10 and c?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, w: 1, n: 1, i: 2}. What is prob of picking 1 w, 1 n, and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2661 times -0.3\nAnswer: 798.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 = 2*u + 10, 3*u + 6 = -3*z. What are the prime factors of -6*z*(-8)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xix when three letters picked without replacement from hhxihxhhikxhxhhhxxx?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 3*y**2 + y - 1. Let l be c(3). Suppose -4*g + 1053 = h, -l*g - 3*g + 1329 = -3*h. Let f = g - 60. List the prime factors of f.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 20 = -5*l, 5*l - 17 = 4*n + 3. Suppose 5*f - 2*u = -7 + 255, -140 = -3*f - u. Suppose l*d - f = -20. Solve -4*b = -d - 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 33. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*n**2 - 2641*n - 2712*n + 5360*n.\nAnswer: -14*n**2 + 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4982 + 4986. Solve -13 - 7 = -a*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-154)\/(-19 + 8) + 0*(-4)\/12. What is the highest common divisor of 20342 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + c + 0*c)*(-16 + 112 + 91) to j*c + x and give j.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*u**3 + 54*u + 10*u**3 - 12*u + 2*u**3 + u**3 - 6*u**3 - u**3 - u**3 + 3*u**3 + (0*u - 3*u + u)*(-4*u**2 + u**2 + u**2).\nAnswer: 3*u**3 + 42*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*v - 65 = 0. Factor -v - 2*k**5 + 2 + 2*k**4 + 4*k**3 + 11.\nAnswer: -2*k**3*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 789600523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1324.681 - -1318. Let t = -0.019 + x. Round t to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*d + 4. Solve d*q + 15 = -3*q, 3*j - 27 = 5*q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2, 50, -3 in descending order.\nAnswer: 50, 2, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2653 and 11.\nAnswer: 13.9183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 1 - 1)*(-2 + 1 + 0) + 0*f + 0*f + 2*f + (-5 + 3 + 0)*(f + 2*f - 4*f) + 6*f + 7*f - 9*f.\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 7*p - 3. Let s = -10156 - -10150. Let b(g) = -37*g + 14. Let w(v) = 18*v - 7. Let j(q) = 3*b(q) + 7*w(q). Give s*j(u) + 14*i(u).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 33\/7, -5, -0.3, 2\/9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*v + 2*v + 300. Let p = v + -28. Solve 0 = -2*k - 4*c + 20, 5*c = p*c + 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56*w**4 - 24*w**2 + 18320*w - 221839186 wrt w.\nAnswer: 224*w**3 - 48*w + 18320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 0*f**6 - 5\/7*f**7 + 0*f**2 + 0*f**4 + 0*f**5 - 7 - 10\/3*f**3 + 0*f. Find the third derivative of d(y) wrt y.\nAnswer: -600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 + 1 - (72 + -73)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-2\/7)*z**1*z*((z*(z**(-1\/2)*z)\/z)\/z)**(-2\/111) assuming z is positive.\nAnswer: z**(2116\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 7 - 55 = 0. Suppose -2*z - 10 = 4. Let s be 6 + (-3 - z) + (-2)\/(-1). Calculate the greatest common factor of s and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1123, -1126, -1129?\n\"Answer: -3*h - 1120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 - -6.875054.\nAnswer: 16.875054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2. Let h(x) be the first derivative of -x**2 + 5*x - 37. Give w(h(i)).\nAnswer: -8*i**2 + 40*i - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 15*b**2 + 22*b - 79. Determine i(16).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4841 is divided by 1495?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 11 = 39. Let l be 2\/(-3) + b\/42. Let m be l + 2 + 21\/9*3. Calculate the highest common factor of 96 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 - -18 - -15 - (-9 - 2) - 68.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 56315, 56323, 56331, 56339, 56347, 56355?\n\"Answer: 8*d + 56307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 93*y**3 - 119*y - 453. Give k(-4).\nAnswer: -5929","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-three eighths of a millimeter?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -117*i + 1167. Calculate f(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60*h**2*m**2 + 27*h**2*m + 7873406*h**2 - 948*h*m**2 - 2581*m**2 wrt m?\nAnswer: -120*h**2 - 1896*h - 5162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/d**31)\/d))\/d**(4\/15) assuming d is positive.\nAnswer: d**(476\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 8.964604?\nAnswer: -1.7929208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 254*v - 167 wrt v?\nAnswer: 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of -5\/42*o**7 + 1\/3*o**3 + 2*o + 0*o**5 + 0*o**6 + 0 + 0*o**2 + 0*o**4. Find the second derivative of q(h) wrt h.\nAnswer: -100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28 - 2)*10\/15. Let i = m + 22. Suppose i*c = 4*r - 708, 1395 - 516 = 5*r - 4*c. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-180)\/1680 + 876\/1904\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40356 is divided by 20174.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 162\/36*(-8)\/(-36)*-1*(-12)\/(-38)\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 49217 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 1083701*z**4 - 2*z**2 + 1078611*z**4)*(2 + 0 - 4).\nAnswer: 10180*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13641989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*sqrt(11)*2)**2 + -4.\nAnswer: 6332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70340 + 3939143\/56. Let y = 96077\/63 - 1525. Find the common denominator of y and k.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = b - 5*i + 22, 3*i - 18 = -3*b. Let p be 3 - (24 - 6\/b). Is 9\/2*(-12)\/p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkk. What is prob of picking 2 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + y + 5*y)*(-6 - y + 6) + (-y + 2 - 2)*(1 + y - 1) + y + 2*y**2 - y - 34 + 26*y**2 + 34.\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, w: 3, q: 2, s: 5, z: 3, c: 1}. Give prob of picking 1 q and 1 s.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 363487830 divided by -3.\nAnswer: -121162610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 + -131057.22?\nAnswer: -130884.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 786018.\nAnswer: 786018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 6*v - 6 = -3*w, -4*v + 8 = 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8943358370772 + -8943366016376.490181. Let z = a + 7646041.49. Let r = z + -437. Round r to five dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 42 - 1. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/(-15) + -1 + 3. Let l = -439\/6 - -73. Suppose 3*a + 19 = -5*s + 4*s, 4*a + 3*s + 32 = 0. What is the second biggest value in l, a, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59674 + -14974. Round l to the nearest 1000.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 8 + -7 + -11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 16) + (-2 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 13219740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2368 + 4737\/2. Which is the smallest value? (a) z (b) -172 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*g**3 + 10419*g**2 + 7860*g - 18304.\nAnswer: (g - 1)*(g + 416)*(25*g + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) -2\/9 (b) -0.2 (c) 4\/7 (d) -145 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 415512 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (5 + 2 + sqrt(13) - sqrt(13) - sqrt(26)\/(sqrt(32) - sqrt(2) - sqrt(2) - sqrt(2)) - (-3 + sqrt(13) + -1)*3).\nAnswer: -4*sqrt(13) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3177298*a**2 + 8531057.\nAnswer: -6354596*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 20, 4*c + 8147 - 159 = -z. Which is greater: -1997 or c?\nAnswer: -1997","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-47414\nAnswer: 189656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.12.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 153*p - 10956. What is the lowest common multiple of v(-54) and 261?\nAnswer: 19314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 9985.\nAnswer: 29955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4337, 17375, 39103, 69521, 108629?\n\"Answer: 4345*g**2 + 3*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -21583 at most -25366?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qggggq. Give prob of picking 3 g.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 95, 1, -5, 2\/11 in descending order.\nAnswer: 95, 1, 2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2679, 3151, 3947, 5067, 6511?\n\"Answer: 162*h**2 - 14*h + 2531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3022*c - 2998*c + 504 = 0 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161 - 33 = -4*v. Let j = v - -60. Suppose 6*r - 8*r + 4*b = -j, r = -5*b + 7. Solve -5*m - r - 13 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 - x**2 - x**2)*(-1 - 2 + 1)*(10 - 7 - 5)*(3 - 1 - 3 + 0 - 4 + 2 + (-1 - 1 + 4)*(-2 + 3 - 2)).\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 781837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 5*h**2 + 63. Let o(i) = 166925*i**2. What is y(o(v))?\nAnswer: 139319778125*v**4 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 + -45. What is the smallest value in p, -27, -1?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three tenths of a millennium?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -260449 divided by -4\nAnswer: 260449\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 0.1, -1\/774, -0.5, -11, -10?\nAnswer: -1\/774","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-4)*-1 - -5. Suppose -3*l + 2*w - 2 = 0, k*l = 2*l + 2*w - 6. Which is the biggest value? (a) -2 (b) l (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1811, 1519, 1029, 341, -545?\nAnswer: -1629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 3 - 5 + 8 = 3*d - 3*d, 219 = -2*d + 43*u for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*r**2 - 5102 + 10170 - 5068.\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 3\/(2\/2). Suppose -u*t + 6 = -3. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*35.765.\nAnswer: 17.8825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfm when three letters picked without replacement from fmfffffffffmfffm.\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.21, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3932.\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b + 39 - 54 - 88 - 6*b)*(8*b - b - 3*b) + 0*b**2 + 0*b**2 + 2*b**2.\nAnswer: -10*b**2 - 412*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.17 + -0.37. Let x = t - 4. Which is the third biggest value? (a) x (b) 1\/8 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = 3*v - 162. Sort -3, 1, -1, v in increasing order.\nAnswer: v, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/3 - 1046*z**2\/3 + 22286*z\/3 - 40414.\nAnswer: 2*(z - 501)*(z - 11)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6612411.\nAnswer: 3, 13, 43, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9 (b) -1\/8 (c) -68 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3267 - 1807. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332734 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/13, -0.1, 3, 14?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*u**2 - 12343 + 24707 - 12364.\nAnswer: -50*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -319.459 rounded to the nearest integer?\nAnswer: -319","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/141, -35, -0.2, 0.4, -2\/7 in descending order.\nAnswer: 0.4, 2\/141, -0.2, -2\/7, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158111*t**2 + 501 - 501.\nAnswer: -158111*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3734 - -3733.8. Which is the nearest to -3? (a) 3 (b) j (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = 5*w - 21*n - 416, 6*w - 488 = 2*n. What is the remainder when 224 is divided by w?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 525136723 to the nearest integer?\nAnswer: 22916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y**4 + 5 - 34*y - 28*y - 25828*y**2 + 51654*y**2 - 25828*y**2 - 2*y**3 to the form a*y**3 + o + g*y**4 + l*y + p*y**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 4*b - 352 = -354, 15 = a - 5*b for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -246 + -b7?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 13 + 1 + -4 + -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 21*h - 25*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(228)*6 + sqrt(228)*-1*2 + sqrt(228))\/(sqrt(768)*1*4).\nAnswer: -7*sqrt(19)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 8:32 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 600 = 4*w - 4*m, -w + 5*m = -165. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 91*c - 89*c. Calculate the remainder when c is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkk when three letters picked without replacement from fkfkffffkff?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-20))\/((-16)\/120).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m**2 + 6*m + 5. Let d be 20\/(-16) + (-1)\/(-4). Let f be n(d). Solve -5*k = -3*l + 22, 0*k - f*l + 26 = -3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -100? (a) -1\/7 (b) -4 (c) 8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -108, -161, -216, -273, -332, -393?\nAnswer: -456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.195 + 0.095. Let y = p + 0.1. Let u = -0.0312 + 3.0312. What is the closest to 2\/7 in 5, y, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*y + 680 = 0, 5*y + 145 = 3*s + 545. Let b = -54 - s. Calculate the remainder when b is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31559.\nAnswer: 11, 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + -1 + 418 + 3. Let t = b - 401. Calculate the remainder when 41 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 25) + (5 + -13 - (-5 + 2)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 22 - 26. Suppose -90 + 8 = -s*r. Suppose 3*w = 6*w - 63. What is the remainder when r is divided by w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 932?\nAnswer: 92d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**7\/2520 - y**6\/360 + y**5\/40 + y**4\/6 - 4*y**2. Let k(f) be the second derivative of a(f). Give k(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of 0 - 130*u - 87\/2*u**2 - 10*u**5 + 0*u**4 + 0*u**3. Differentiate r(n) wrt n.\nAnswer: -600*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10283?\nAnswer: 7, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3780.89 + 3781. Which is bigger: -1.79 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1166 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45700 by -4570.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20046 is divided by 3888?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 848*((-286)\/5434 - (-27)\/152).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/2 + 4535*x**3 + 27198*x**2 + 54388*x + 36256.\nAnswer: (x + 2)**3*(x + 9064)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*(-2)\/(-2) + 57596\/980. Let u = -276\/5 + j. Find the common denominator of 1 + -3 - 32\/(-29) and u.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - (-745)\/35) + 4\/(-14). What is the highest common divisor of r and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x - 11. Suppose -3*f = 15, 0 = -3*d - 7*f + 4*f + 21. Suppose d*c - 166 = 98. Let a(o) = -o - 3. Determine c*a(v) - 6*l(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 9:55 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2236*f**2 + 6633*f - 69326114 wrt f?\nAnswer: 4472*f + 6633","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h - 10. Let l(x) = -33*x + 7. Calculate -2*l(k) - 6*s(k).\nAnswer: 78*k + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12705 - -8387. Let j = h - -9035. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) -4 (c) -1 (d) -0.31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 4:44 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16720 and 77?\nAnswer: 117040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9667333789 take away 201?\nAnswer: -9667333990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 583106 to the nearest integer?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 9*j - 3. Let p be u(8). What is the remainder when 9 is divided by -1 + 5 - (p + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1073 + 22556\/21. Find the common denominator of -83\/8 and t.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 951*l + 187095. What is i(-197)?\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -17*t**2 - 9*t - 5. Let j(n) = 8*n**2 + 4*n + 2. Suppose -42*v + 43*v = 45. Let y be -3 - -4*(v\/12)\/(-5). Give y*l(i) - 13*j(i).\nAnswer: -2*i**2 + 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) 1.3 (b) -1482 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**2 + 41*r + 102. Give q(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4844, 1, -3, 3, 135.\nAnswer: -3, 1, 3, 135, 4844","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 2*k**2 - 4*k + 2. Let v be o(3). Let b = v + 1. Suppose 2*s + 5*l - 13 = b, -s = 2*s + 5*l - 17. Sort -2, -1, s in decreasing order.\nAnswer: s, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2\/(-9) - (2348\/(-36) + 3) is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 2. Let w(n) = -n + 1. Let o(p) = -p - 4. Let f(u) = o(u) + w(u). Let t be f(h). Put -5, 5, t in descending order.\nAnswer: 5, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2603, -3 in decreasing order.\nAnswer: 2603, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17864.\nAnswer: 2, 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = p + 60. Suppose 16 = a - 5*g - 0*g, 5*g + p = -3*a. What is the units digit of a\/2 + (-126)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q. Let b(k) = 952*k**2 + k - 1. Give b(o(c)).\nAnswer: 952*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1848 + -1826. Solve 26 = g*u - 35*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**5\/60 + 2*v**4\/3 + 11*v**3\/6 + 99*v**2 - 2. Give f(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f. Let d(n) = 37*n**2 - 13. Give d(r(b)).\nAnswer: 148*b**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 281*h + 118. What are the prime factors of s(36)?\nAnswer: 2, 5, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*((0*m**2 + 0*m**2 + 2*m**2)*(1 - 1 + m**2) - 2*m**4 + 3*m**4 + 0*m**4 + 1 + m**4 - 1).\nAnswer: -8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 2. Suppose 3*l - 10 = -2*l. Suppose 4*z - 2 = 3*k, 2*k - 1 = -l*z + 7. Let o be v(z). Is -3\/2 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101001010101010101011110 (base 2) to base 14.\nAnswer: 1620a18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 14724140 - 14724140.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*i = 7, 22 = 5*t - 5*i + 87. Which is greater: t or -94\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -5 (b) -6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1919898.\nAnswer: 2, 3, 106661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, d: 7}. Give prob of picking 1 d and 1 l.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**3 - 9375*v**2 - 74760*v - 149360 = 0. What is v?\nAnswer: -1867, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 n when three letters picked without replacement from wineiweinjjxxni?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 5:59 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -0.1, -1, -379 in increasing order.\nAnswer: -379, -1, -0.1, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**5\/15 + w**2. Let j(y) be the second derivative of 0*y**2 + 0*y**3 + 2*y + 0 + 1\/6*y**4. What is j(z(u))?\nAnswer: 32*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 11) in base 10?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31182*g + 26*g**2 - 15602*g - 15580*g - 58*g**2.\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxwx when four letters picked without replacement from mxmxmoootoommmwmo?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4129*q - 3682. What are the prime factors of u(5)?\nAnswer: 16963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.01 (b) -6\/13 (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of 1\/60*b**5 + 9\/8*b**4 + 0 + 5*b**2 - 7\/120*b**6 + 0*b**3 + 0*b. Find the second derivative of h(f) wrt f.\nAnswer: -42*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 69.4441 litres?\nAnswer: 69444.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 15*a**3 + 70*a**2 - 105*a - 20. Let u(o) = -2*o**3 - 10*o**2 + 15*o + 3. Let w(z) = -20*u(z) - 3*v(z). Factor w(s).\nAnswer: -5*s*(s - 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*j + 12 = 3*s, 5*s + 2*j - 12 = 0. Suppose -3*d = -s*d + 4. Suppose -d*o = -137 - 79. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -1. Let z(l) = -12*l**2 + 21*l - 35. Let n be z(3). Let s(o) = -4*o - 16. Calculate n*b(q) + 5*s(q).\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 12. Let n be m(-10). Find the second derivative of 4*l**2 + 3*l**5 - l - l**5 - 4*l**n wrt l.\nAnswer: 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*z = 65*z + 4*p + 15, p + 10 = -2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4576*z - 9 + 9 + 4581*z.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 7\/26?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-2 - -2 - (-3)\/(-21)). Does 7 divide z\/((-5)\/(-30)*-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.03 minus 12?\nAnswer: -83.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 9:22 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*q**2 + 9140*q - 27186.\nAnswer: -2*(q - 3)*(13*q - 4531)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6166350.\nAnswer: 2, 3, 5, 71, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**4\/6 - 2*o**3 - 19*o**2\/2 - o + 3. Let n be f(-11). Let d = 127 + n. Is d less than -10\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 + 2*i**2 - 2*i + 1. Let u = -204 - -194. Let v(o) = -3*o - 29. Let a be v(u). Give p(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1635, 7, -3, 3, 1 in descending order.\nAnswer: 1635, 7, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10884 and -199.\nAnswer: -2165916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 6:23 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -45, 1\/3, -11, 388, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eephccccepeeecppehe. What is prob of picking 1 p and 1 h?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 470291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -1) + -4 + -4. Let r(j) = -j**2 - 7*j - 6. Let l be r(m). Let d = -4.7 - -0.7. Which is the nearest to l? (a) d (b) -1\/5 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12915 divided by -41\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 47161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 0.056 (c) -3 (d) 0.3 (e) 0.2 (f) -5.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3058017*c**4 + 2*c**3 + 80*c**2 + 3*c + 1538.\nAnswer: 73392408*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, a: 2, z: 5}. Give prob of sequence av.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**5\/60 - x**4\/24 - x**3\/6 + x**2. Let a = -6 - -9. Let c(r) = -r**2 + 3*r + 3. Determine a*k(b) + c(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**10\/26460 - l**9\/6615 - l**8\/4704 - l**7\/8820 + 13*l**4\/12 + 6*l. Let r(x) be the third derivative of q(x). Factor r(v).\nAnswer: -2*v**2*(v + 1)*(2*v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 y when four letters picked without replacement from ueyquuqueuuyuuuuyuuy?\nAnswer: 132\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14606208 by 16.\nAnswer: -912888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20 (b) 1\/6 (c) 8\/5 (d) 1474\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -467, -931, -1395, -1859?\n\"Answer: -464*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*2.8348.\nAnswer: 1.13392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415455031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 74*u - 6*u + 333975 = 0. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363589531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.59 + -10.59. Let z = a - -10.00002481. What is z rounded to six decimal places?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1493982 divided by 82999\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1932657?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 664 = 36*l - 4*l + 51*l. Solve 4 = 7*n - l*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + x - 1. Let f(b) be the second derivative of -b**3\/6 + b**2\/2 + 3*b. Let j(y) = f(y) + p(y). Let w(o) = -3*o**2. Calculate j(w(u)).\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.222 - 1.222. What is the closest to 5 in w, -14, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((25 + 34 + 38)*(-2 - 3 + 4) + (-6 + 4 + 0)*(-1 - 3 + 6))*(1 - z + 5 - 4).\nAnswer: 101*z - 202","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 - (7000\/(-15))\/14. Which is the smallest value? (a) 0.2 (b) m (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + 0 + 37 + -23 + -15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1\/3 (b) -27938 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1230 + 1276 = 3*u - 2*c, -2*c = 4*u - 38 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 116\/183 - -2\/61. Let k = 4 + 0. Let w = 0.28 - 0.18. What is the nearest to w in j, k, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34370730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 2 = -16*l + 11*l. Let p(a) = 7*a - 1. Let f(t) = t. Calculate l*p(d) - 5*f(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 5416672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = -4*x + 4*u, u + 36 = 5*x - 294. Suppose -x*j + 58*j + 14 = 0. Solve j*c = p - 11, 9*p + 15 = -4*c + 4*p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/19, -2\/11, 11, -2\/3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**6\/120 - 7*h**5\/60 + h**4\/4 + 7*h**3\/6 - 21*h**2 - 2*h. Determine d(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2318?\nAnswer: 2, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 490 and 325290.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 16 = 4*y - 3*b, 0 = -3*y - b - 4. Suppose y = -c + 1453 + 1426. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -s**5\/480 - s**4\/192 + 3*s**2. Factor h(b).\nAnswer: -b*(b + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - (-7)\/5)*-1. Let b = w + -249\/115. Sort -1, b, -5, 0.1 in decreasing order.\nAnswer: b, 0.1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 357084952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by (12 + -11)\/(2\/68)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(88)*-1 - sqrt(88) - (sqrt(88) - -2*sqrt(88))*5)\/((sqrt(72) - -6*(sqrt(72) + (sqrt(72) - sqrt(72)*3 - sqrt(72)) + sqrt(72))) + sqrt(72)).\nAnswer: 5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 13092 + 12783 = 0. Let z = 3345 + v. What is z rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2200 divide 4464286130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**3 - 2*b**2 + 3*b + 2. Calculate the remainder when 16720\/60 - 36\/(-27) is divided by i(3).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 + 3. Let p = -6 - -5.6. Let w = s + p. What is the nearest to -0.2 in -2, w, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 500720, 2002953, 4506706, 8011979, 12518772?\nAnswer: 18027085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 21 = 0, k + 4*q - 145 = -172 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1093 > 1093?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 18, 1073.\nAnswer: -0.4, 18, 1073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 79333845?\nAnswer: -79333845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/28 of a week in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1a1a40 (base 14) in base 15?\nAnswer: -1348ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -30*b**3 - 2*b**2 + 2*b + 3. What is i(-1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 543073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139489541?\nAnswer: 139489541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100*y**3 - 2*y**2 + 429*y?\nAnswer: -600*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 14*t + 2)*((-2 + 6 - 2)*(0*t - 2*t + t) - 5*t - t + 4*t - 11*t - 48 + 48).\nAnswer: -210*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + y + 4. Suppose -5*m - 17 = w + 2*w, -4*w + 5*m - 11 = 0. Give s(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84946989.\nAnswer: 3, 28315663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 19125390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 - -53.9952. Round a to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 - 6*u + 114. Give r(12).\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 9 + -11 + (-9 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 720 and 45040?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6128 and 91879.\nAnswer: 563034512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 980449.72558 from 3.\nAnswer: -980446.72558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2. Let h(l) = -2*l**2 + 5*l + 5. Let o(p) = 2*p - 10*p - 2 + 3*p**2 - 6. Let q(a) = -8*h(a) - 5*o(a). Determine t(q(b)).\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 16 - 50 = 0. Suppose -q = -4*g - 2*o, 5*g - 2*g + 2*o = 18. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1334 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0984? (a) -2 (b) 10 (c) -86 (d) -1 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7413, -2, -64.\nAnswer: -7413, -64, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -190 or -191?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -4275374922814?\nAnswer: 4275374922817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -289928*k*o - k*w - 69*k - 16120217*o*w wrt w?\nAnswer: -k - 16120217*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -3, 2, 74 in descending order.\nAnswer: 74, 4, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - z + 7. Suppose 4*g - 2*c + 8 = 0, 7*c - 4*c = -5*g + 12. Give b(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -z**6\/30 - z**5\/10 + z**4\/6 + z**3 - 9*z**2\/2 - 18. Let n(t) be the second derivative of y(t). Factor n(d).\nAnswer: -2*(d - 1)*(d + 1)*(2*d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, -2, -1, 2, 5 in ascending order.\nAnswer: -2, -1, 2, 5, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28, -23, 4, 59, 148, 277?\n\"Answer: f**3 + 5*f**2 - 17*f - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n = 20. Let p = 2878848\/13 + -221450. What is the smallest value in 0.5, 0.07, p, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 7:48 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-132)\/(-11))\/(-24))\/(2\/(-52))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44532390?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 11 = 4*w, -4 = -5*s + s - 4*w. Let y = 142.1 + -142.2. Which is the closest to y? (a) -1\/6 (b) s (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 602 greater than or equal to 603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*w = 11, 4*u + w - 4*w - 1 = 0. What is the units digit of ((-20)\/15 + 4\/u)*-12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 318\/2*1*5\/15. Suppose c - 43 = -l. Let z(f) = 26 - 57*f**2 + 48*f**2 - f**3 - 17 + 11*f. Give z(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by -722.\nAnswer: -31\/722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 879 times 0.112\nAnswer: 98.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -103635 divided by 9?\nAnswer: -11515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2393, -9662, -21753, -38642, -60305, -86718, -117857?\nAnswer: -153698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -140070 greater than -140065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2456205*t**5 - 8*t**2 - 19*t + 1782495?\nAnswer: 49124100*t**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*v + 10 = 4, 0 = -4*k + 2*v + 32. Suppose 4*i + 2*c - k = 0, -19*c + 15*c = i + 15. Let h(w) = -w**3 + 7*w**2 - 6*w + 6. Give h(i).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/8*((-200)\/(-350))\/((-12)\/(-56))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 29847\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -23. Let y be 27\/(-6)*r\/9. Solve 3 = 3*j - y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -971*l - 703. What is the thousands digit of h(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 5*n + 13, -3*w - 10819 = -5*n - 10826 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 3, 2\/423377, -0.2?\nAnswer: 2\/423377","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 4777 = a + 4806, 3*x = -12*a + 15 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 - 70. Suppose -3*k + 7*k - a - 32 = 0, -c*k = a - 40. What is the highest common factor of k and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**5\/5 - 3*c**4\/5 + 12*c**3\/5 + 12*c**2\/5 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30131 - -1?\nAnswer: 30132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18208 is divided by 72?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -50*h - 348. What is m(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 157, 423, 827, 1387, 2121, 3047, 4183?\nAnswer: 5547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - d = -1078, 4*b = -2*d + 1410 + 26. What is the least common multiple of b and 225?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 14.3 (b) -34 (c) -1\/2 (d) 5 (e) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -1. Let b = 1 - h. Solve -p - 20 = -b*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g - 6. Let c be n(-4). What is the third derivative of -1 - q**6 + 1 + 4*q**c - 7*q**2 wrt q?\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/3 + 52\/6. Which is greater: f or 7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -985, -2, 2 in descending order.\nAnswer: 2, -2, -985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -10. Let m = a - 1. Solve -3*s = -4*y - m, -5*s = -2*y - y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-7) + 4\/(-14). Let t be (1\/(2\/(-16)))\/(3\/(-9)). Suppose q*o - 13 + 98 = 5*g, -g = o - t. Calculate the greatest common factor of 76 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - h + 2 + (0*h - 3*h + 0*h)*(-4 + 5 - 4).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*w**3 - 72*w**2 + 28219*w - 86064972?\nAnswer: -9*w**2 - 144*w + 28219","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b = 15*b. Suppose b = -u - 31 + 36. Suppose 5*h - 29 = 2*h - 4*i, -u*i = -2*h + 4. What is the least common multiple of 34 and h?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2239 (b) 779 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**12)\/q*q*q**17)\/(q**(-1\/3))**(4\/3))**21 assuming q is positive.\nAnswer: q**(406\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 166 * -8.\nAnswer: -1328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7125 (base 12) to base 14\nAnswer: -4685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = l - 10. Suppose l*c - 5 = c. Suppose -5*n + 3 = -12. Solve n*o - 2*v = -4 - 3, 0 = 5*v + c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3 - 1730*z**2 - 1203586*z + 1047459714.\nAnswer: 2*(z - 821)**2*(z + 777)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -5 + (-7 - -6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) -0.3 (c) 0.071 (d) 2.3988 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 226253*l**3 + 213*l**2 + 162986738*l?\nAnswer: 1357518*l + 426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6461 = -1143*r + 397 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 267779 to the nearest integer?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 3\/7 (c) 0.142 (d) 2.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3370 or 117903\/35?\nAnswer: 117903\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/(-6))\/(6\/8). Suppose 11 = 3*p + y. Suppose i + 3*f = 2, 0 = i + 2*f + 3*f - 2. Solve -p + i = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -f**5\/180 - 5*f**4\/18 - 19*f**3\/18 - 8*f**2 - 3*f. Let n(b) = 0. What is b?\nAnswer: -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -208529 and 1459209.\nAnswer: 1250680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 6 = -3*c, -c + 26 = 4*l + l. Solve 4*m + 2 - l = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 12 = 3*y. Suppose 34 = 5*p + 3*x, -2 + 10 = 4*p - 4*x. Suppose -p*m - 15 = -6*m. What is the remainder when m is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 573226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2987*w + 3160*w - 462*w - 203138 = -2128*w for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 7*w**3 - 2*w**2 + 2*w - 1. Suppose -3*t = -t - 2. Let s be n(t). Solve 2*k = s*k + 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 2*s + 160 = 0. Suppose 5*v = -3*c - s, 4*c - 3*v + 5*v + 44 = 0. Is -10 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -255*k - 6192. Determine n(-24).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**3 - v**3 - v**3 + (-6*v**2 - 7*v**2 + 3*v**2)*(0*v - v + 0*v) + 4*v**3 - 2*v**3 - v**3 + 11*v**3 + 1 - v**2 - 2*v**2 - 21*v**3.\nAnswer: 2*v**3 - 3*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 139260 and 211.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 269 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3541376*l + 2. Let p(f) = -f. Give p(m(h)).\nAnswer: -3541376*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 476609.99748541 + -476610. Round y to five decimal places.\nAnswer: -0.00251","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -126, 1\/2, 4, 0.4, 2, -27 in descending order.\nAnswer: 4, 2, 1\/2, 0.4, -27, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1475099363?\nAnswer: 2083, 708161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-4*sqrt(13))**2 - (sqrt(13) + -4 + sqrt(13) + -1)) + ((sqrt(1300)*-2)\/(sqrt(16)\/sqrt(4)*5))**2.\nAnswer: -2*sqrt(13) + 1929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280 is divided by 106.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1031 is divided by (-4)\/6 - (-272)\/612 - (-74)\/9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5999.29361 rounded to 0 decimal places?\nAnswer: 5999","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**2\/2 + 36*t - 181. Let a be n(34). Suppose -4*i + 5*i + 8 = 0. Sort i, a, 0 in increasing order.\nAnswer: i, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 712 - 19939\/28. What is the closest to 1\/4 in 0, 2.3, -3, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t = 7*t + 9919. Let x = t - 566. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18eb33 (base 15) to base 8.\nAnswer: -4503304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**5 + 3*q**5 - 3*q**5 + 0*q**5 + q**5 + q**5 + (q**2 - 3*q**4 - q**2)*(-1 - q + 1).\nAnswer: 7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 2:43 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67\/15 - -19\/5. Let w = 1.99 + 50.51. Let m = 53 - w. Which is the second smallest value? (a) 3 (b) f (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 495 - 498. Which is the second smallest value? (a) 0.1 (b) -3\/5 (c) 5 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*i*z**4 + 656*i - 184*z**4 wrt z.\nAnswer: 12*i*z**3 - 736*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 6. Suppose 0 = 5*n - 10*n. Suppose -4*i + 5 - 17 = n. Which is the biggest value? (a) r (b) i (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428853671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261612 is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43476854 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a day in minutes?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 32*z + 233. Let w be f(38). Sort w, -3, 1, -29 in decreasing order.\nAnswer: w, 1, -3, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2. Let o(d) = 187*d + 32. What is q(o(i))?\nAnswer: 69938*i**2 + 23936*i + 2048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1994, -2026, -2078, -2150, -2242, -2354, -2486?\n\"Answer: -10*w**2 - 2*w - 1982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -2. Let q(j) = j + 2 - 3 - 7*j + j. Calculate q(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2539, -10191, -22929, -40741, -63615?\nAnswer: -91539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-248)\/(-32) + -8 + (-63)\/(-28). Solve 2*m - k + 2 = 0, 4*k + k + s = 4*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -384, -859, -1524, -2379, -3424, -4659?\nAnswer: -6084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -11*k + 2. Let r(v) be the second derivative of 5*v**3\/6 - v**2\/2 + 2*v - 58. Calculate 6*d(l) + 13*r(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**5\/30 + i**4\/24 + 13*i**3\/6 - 48*i**2. Does 20 divide a(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -439 - 6675. Let q = z + -11986. What is q rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -8864, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-6) - (-14)\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 + (58 - (22 + (-13 - -37)))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2756, 2285, 10704, 22495, 37652?\nAnswer: 56169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 64 and 5640?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.248634025 to two dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*n - n + 8445 = 0, 0 = 3*f + 5*n - 8449. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50.2990556 to the nearest integer.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**5*u**(-2\/11))**(7\/10) assuming u is positive.\nAnswer: u**(224\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13303*s**3 - 6506*s.\nAnswer: 79818*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-492)\/26650)\/(10\/(-250)).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4820251 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180189360 divided by -972.\nAnswer: 185380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/15)\/((-23)\/207).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(0 - 5 + 3)*(-1 + 25 - 51)*(0*n - 7*n - 6*n).\nAnswer: 1404*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4781917840?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -960, -34, 3 in descending order.\nAnswer: 3, -34, -960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 9*h**2 - 9*h + 8. Let k be f(-10). Let w be 21\/(-24)*k + (-2)\/(-8). What is the derivative of 8*u**2 - 5*u**w - 5 - 1 wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-23)\/(-1) + 0\/2. Let w = 41 - x. What is the lowest common multiple of w and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 2*b + 1055. Is i(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-3) - (3 + 0). Let l = -2.2 - -22.2. Let w = l + -30. Which is smaller: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 9:40 PM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 97*h**2 + 2*h + 25. Let t be a(8). Suppose -t - 9707 = -4*d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/8, 0.3, -2, -2\/11, 2\/627 in decreasing order.\nAnswer: 4, 0.3, 1\/8, 2\/627, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -4 - (-8 + 2) - (-1 - -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24365 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -404*q - 12 = -400*q. Suppose 4*l = -0*l - 16, -5*k + 4*l + 1 = 0. Which is the closest to q? (a) k (b) -1\/5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/3606504 and -47\/1803252.\nAnswer: 3606504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10\/37, -2, 3?\nAnswer: 10\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-348)\/(-10))\/((-12)\/40). Let i = 150 + w. Calculate the remainder when i is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**2*n - 2*m**2 + 10*m*n**3 - 4*m*n**2 + 135 with respect to n.\nAnswer: m**2 + 30*m*n**2 - 8*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1759834645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-39)\/(-9) + (-2)\/(-3). Suppose -5*j = 4 - 24. Suppose p - j*b + r*b = 44, -175 = -5*p + 4*b. 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: What is 2 to the power of 1\/8, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4322425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00252363 to 4 dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 36993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -46008\/11989?\nAnswer: -46008\/11989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 17262?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(7 - -1 - 6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38240000 to the nearest 1000000.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 202615 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10213711*i**5 + 2365*i**2 + 2651.\nAnswer: 612822660*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 47*q + 5. Let a(m) = 3*m**2 + 96*m + 10. Calculate -3*a(b) + 7*v(b).\nAnswer: -2*b**2 + 41*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 7 - 9. Let i(f) be the first derivative of 1\/4*f**l + 1\/3*f**3 + 0*f**2 - 1 + 0*f. Find the third derivative of i(w) wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c**2 + 36*c - 36. Calculate u(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*g = -41*g - 62*g + 350 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of b**4\/4 - b**3 - 3*b**2\/2 - 12. What is o(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/3)\/1*6\/36.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (52\/(-234))\/(1595\/261)\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1331753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 38\/(-76)*4\/(16\/3)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i - 208. Let l(a) = -78*a**2 - 74*a**2 + 217*a**2 - 72*a**2. Give r(l(o)).\nAnswer: 14*o**2 - 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 5*f + 29, 8*u - 8*f - 16 = 7*u. Calculate the highest common factor of u and 1944.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -36. Let b = y - 13. Let g(d) = d + 8. What is the units digit of g(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 10 = 3*n, -22 = 2*p - 4*n. Let d = p - -13. Let z = 15 + d. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31350 + -30457. What is the greatest common factor of 752 and m?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16.67 - -680.33. Let w = r + -696.99049. What is w rounded to three dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 12:13 AM?\nAnswer: 5:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 108219560 a multiple of 2180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2231? (a) -0.1 (b) 5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 11*m. Let u be x(1). Suppose -25 + u = -7*n. Suppose -5*v = -10, 5*y = -n*v + 61 - 7. Solve 2*c + 5*b = 9, -5*c - 2*b + y = -2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*n - 14 = 0, -22 = 4*z - 3*n - 8. Let s be -3 - -4 - (-9 - z). Solve -2*k + s = -2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1245786 and 3982122.\nAnswer: 1580902434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 119*c + 558. Calculate the least common multiple of 162 and x(0).\nAnswer: 5022","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.6 + -1.4. Which is the closest to 0.1? (a) 2 (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 5839?\nAnswer: 3\/5839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*k - 16 + 16)*(-2*k**2 + 2*k**2 - 2*k**2)*(-3 + 2 + 3)*(-1 + 0 + 0).\nAnswer: 88*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 6:15 AM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*f**5 + 5542871*f**4 + f**3 - 15869808*f**2.\nAnswer: 180*f**2 + 133028904*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39479484 - -868741187\/22. Let u = 4971 + 3784. Let q = u - r. What is the common denominator of -15\/14 and q?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 r, and 1 a when three letters picked without replacement from {r: 5, a: 1, f: 3, g: 1, d: 2}.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 6:25 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 5*x**2 + x. Let n be i(1). Suppose -5*t + 0 = 3*f - n, 0 = -4*f + 2*t + 8. Let w(q) = 2*q**3 - 2*q**2 - q + 2. Does 4 divide w(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-1*(-8)\/(-176).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195*-4.\nAnswer: -780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -137262, -549045, -1235352, -2196183, -3431538, -4941417?\n\"Answer: -137262*q**2 + 3*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24*-7*5\/((-735)\/(-14)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 885660342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s - 6. Let u(m) = -m + 1. Suppose 2*r + 4 = 2. Let c(h) = r*f(h) - 5*u(h). List the prime factors of c(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, j: 1, z: 5, f: 1, e: 1}. Give prob of sequence ej.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -9448*q**2 - 21976*q. Let c(u) = -135421*u**2 - 314985*u. Let x(i) = -10*c(i) + 143*p(i). What is the second derivative of x(o) wrt o?\nAnswer: 6292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - (13 + -29) - (-4 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x**(-28)\/x)*x*x**(1\/7) assuming x is positive.\nAnswer: x**(218\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 2) in base 16?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, 3, -0.23, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3276*f**2 + 7*f - 18. Let g be t(2). Round g to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -5*l**3 - 26*l**2 - 9*l - 12. Let v be w(-5). Solve -2*c + 5 = -4*j - 3, -v = -4*c + 4*j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -15*m + 1. Let l(y) = 2*y. What is 18*l(v) + 2*w(v)?\nAnswer: 6*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.15 - -0.15. Is h >= 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 2:14 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -5*u + 3*i, 8*u - 3*u + 2*i + 19 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8721786.73 rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - (170 - 69 - (-2 - -1)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*r = -24. Suppose r = 5*j - j. Suppose 0 - 2\/5*w**j + 2\/5*w**2 + 0*w = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*q - 155439, -1206*q + 1204*q - 5*v = -155493. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/305505 and -74\/373395.\nAnswer: 3360555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1476 divide 15943752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 75 + -36. Let t(w) = v + 11*w**2 - 18 - 17 + 11*w. Is 17 a factor of t(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1039900 divided by 10399\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 24*t**2 - 126*t + 6. What is w(16)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -4)\/((-2)\/47). Let y(j) = -j**2 - 54*j - 172. Let r be y(-49). Let u = r - a. Is 24 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 10*d**2 + 10*d + 100. Calculate s(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 + 6*y**2 - 9*y - 3. Calculate p(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1728022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 339*a**3*s**2 + a**3*s - 194*a**2 - s wrt s?\nAnswer: 678*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*u - 128, u - 3*s - 47 = -u. Let o(z) = 2*z - 16. Let b be o(u). Let f = b + -40. What is the common denominator of f and 94\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63445219 to the power of 1\/2, to the nearest integer?\nAnswer: 7965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - a + 8. Suppose 7*d = 3*f + 2*d - 8, -3*d = -f + a. What is the third smallest value in 0.3, f, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + 3*((1 + sqrt(833))*-5 + sqrt(833) - (-1 + sqrt(833) + sqrt(833) + 1))*1 + 5))**2.\nAnswer: 48384*sqrt(17) + 4320576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21857243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3202702\/33 at most -97052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 28 + 2*u - 4 - 20 - 3*u. Determine t(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y - 3*y - y**4 + (-2*y - 2*y**3 + 2*y)*(-3*y + 2*y - y) + y**4 + 0*y + 0*y + (-5 - 15 - 6)*(-12*y**3 + 5*y**3 + 22*y**3)*(21*y + 20*y - 25*y).\nAnswer: -6236*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 55 (c) 0.4 (d) 8 (e) 37.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 79 - 51. Suppose m*n - 44 + 16 = 0. Solve 0 = -3*v + 8*v + n*x + 36, -2*v + 5*x + 12 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + 2*i**2 - 4*i**2)*(-31 + 18 + 6*i + 15).\nAnswer: -12*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 6:20 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/3 - 12926*g**2\/3 + 341431096*g\/3.\nAnswer: -2*g*(g - 10228)*(g + 16691)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**5)\/i*i\/((i**(1\/33)\/i)\/i))**(-16))**(-2\/31) assuming i is positive.\nAnswer: i**(8416\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 0.04774?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 3 - 3*d)*(0 + 0 + d) - 2*d**2 + 0*d + 0*d.\nAnswer: -5*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 1) + (0 + -2 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**5\/20 + n**4\/3 + 311*n**2. Let z(r) = -r. Determine t(z(f)).\nAnswer: 3*f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128471890 to the nearest integer?\nAnswer: 11335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 340230 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwtiiiiivwuwwtittii. What is prob of picking 1 u, 1 i, and 1 t?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*-1 - sqrt(45))\/sqrt(9)*6.\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.052 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-15))\/(225\/(-250))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -4*u - 16. What is the remainder when u is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36*g*j**6 + 7*g*j**5 + 2*g + 20*j**2 wrt j?\nAnswer: -4320*g*j**3 + 420*g*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17996204 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 700298*b**3*u - b**3 + 2808*b**2 + 2*b + 5629*u wrt b.\nAnswer: 4201788*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 22 = -4*m, -79*m + 77*m + t + 14 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/9, -3, -96.53765?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25\/21 + 169\/140. Let m(f) be the third derivative of 2*f**2 + g*f**6 - 1\/6*f**3 + 0 + 0*f**4 + 0*f**5 + 0*f. Differentiate m(y) with respect to y.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 143\/6 - 24. Let h(u) = u**3 + 9*u**2 - u - 12. Let j be h(-9). Let p be (2 - 3)*(2 + j). Is p bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35 + 12 + 9 - 48*k + 12 wrt k?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 549 at least -0.11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 - 16. Let h be x\/(-14) + 1 + (-69)\/(-21). What is the greatest common factor of 20 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 918 and 7773930?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 537702277.\nAnswer: 7, 7951, 9661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*l = 0. Suppose 0 = 3*h + 5*f - 17, l = 3*h + f + 18 - 55. Is h a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1120 = -4*c - 3*n - 136, 4 = -n. Is -309 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1792100*b*t - 2881163*t wrt b?\nAnswer: -1792100*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 4*x + 4)*(-x + x + x**2) + x**3 + 0 + 0.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 16*m**2 + 296*m + 1. Let u(s) = 24*s**2 + 296*s + 2. What is 4*l(a) - 3*u(a)?\nAnswer: -8*a**2 + 296*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-9 - -6 - -20)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23\/51 - 2\/17. Let t(o) be the second derivative of -3\/2*o**2 + 0 + 4*o + j*o**3. Find the first derivative of t(r) wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (363 + -394 - (-51 + 1)) + (65 - 1)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -401872 + 731183. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -1 + 4*v - 2*v - 3*v. Let q(t) = -2*t - 2. Suppose 4*f + 12 = 7*f. Calculate f*d(n) - 3*q(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2)**(-5\/4)\/((v\/v**(-10))\/(v**8*v)) assuming v is positive.\nAnswer: v**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-75986)\/108*15\/65. Let v = k + 2201\/13. Calculate the common denominator of -1 + -2 + (-99)\/6 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1174.35 - 23.\nAnswer: -1197.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1584, 2579, 3574, 4569, 5564, 6559?\nAnswer: 7554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 1:21 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p + 17. Suppose o - 6*o - 7 = -c, -o = -c + 15. Determine q(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1*sqrt(2))**2 + 4) + -3 + (sqrt(8)\/(-2*sqrt(16) + sqrt(4)))**2*3.\nAnswer: -61\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 2*p - 220. Calculate the greatest common divisor of p and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (25 + (-3 - -2))*62\/(-3). Let j = i - -445. Which is smaller: -48 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1599 = -2*j - 2*f, -f = -j - 528. What is the remainder when 71 is divided by (-19)\/(-7) + -3 + j\/(-21)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/36 + (-264)\/(-405). Let x = 128\/135 + p. What is the common denominator of -46\/27 and x?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (141\/(-94))\/(6\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 11*r**2 + 5*r - 10. Suppose z + 19 = -2*n + 4*z, z + 7 = -n. Let p be j(n). Let v = -66 + p. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18.892 + -18.8937486. What is g rounded to 5 dps?\nAnswer: -0.00175","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjvjvvjvvjjjjjjjjjj. Give prob of picking 2 v.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1103 + 1103 - 459*z)*(3*z - z + 0*z) to the form g*z**2 + v*z + x and give g.\nAnswer: -918","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/(x*x\/(((x\/x**(-22))\/x*x*x)\/x)))**(-14) assuming x is positive.\nAnswer: x**(-336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.133*2.272.\nAnswer: -0.302176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 20, -4, 2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -5, i + 2*i - f - 23 = 0. Suppose 0*w + 3*w = i. Is 2 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of -f**4\/3 - 34*f**3\/3 + 36*f**2 - 811*f. Factor w(i).\nAnswer: -4*(i - 1)*(i + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*l - 16. Let r be ((-6)\/l)\/((-1)\/(-8)). Let 6\/7*w**2 - 6\/7*w**r - 2\/7*w + 2\/7*w**3 + 0 = 0. Calculate w.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 14, 32, 64, 116, 194, 304, 452?\nAnswer: 644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 1694\/295?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of r**6\/360 - r**3\/6 - 3*r. Let j(p) be the second derivative of i(p). What is the lowest common multiple of j(3) and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*g*m**2 - 5979*g - 28*m**3 with respect to m.\nAnswer: 56*g*m - 84*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 14, -10, -944, -0.2, -7?\nAnswer: -944","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 61020851 to the power of 1\/3, to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4391.17ml?\nAnswer: 4.39117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2984238313?\nAnswer: 7, 43, 911, 10883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -10, 3, -18, -1\/2.\nAnswer: -18, -10, -1\/2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 294983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -2 (c) 1 (d) 18338 (e) 1\/4 (f) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18792 + 163676. Let h = -99884 + q. Suppose i = 6*i + h. What is i rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-6)\/d)\/(d*d**(2\/7))*d\/(d\/d**5)*d*d**(-6\/7) assuming d is positive.\nAnswer: d**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*2*(-4 + sqrt(1100)*1 + sqrt(1100))**2.\nAnswer: -960*sqrt(11) + 26499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 + -367 - (41 - -2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -1 + 3 - (-12 + (13 - 21))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.4 + -3.6. Let o = -17 - t. What is the closest to o in 0.2, -3\/5, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 - 1. Let n(f) = -13*f**2 - 6. Let v be 100\/40*(-1)\/((-20)\/(-48)). Determine v*a(w) + n(w).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z = -0*z + 182. Suppose -x + z = 4*l - 89, 2*l = 0. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 7:17 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 4 + -4 + 24 + (7 - 35)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*l + 11 = 0. Let u(t) = -l*t**2 + 2*t**3 + 3*t**3 - 4*t**3 + 7*t + 6. Is u(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -179, -492, -905, -1328, -1671, -1844, -1757, -1320?\n\"Answer: 15*t**3 - 140*t**2 + 2*t - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66.21015203 - 52.8101526. Let g = 13.4 - d. Round g to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -197*k**2\/2 - 1085*k - 33\/2.\nAnswer: -(k + 11)*(197*k + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011101101101001010 (base 2) in base 7?\nAnswer: 3156001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 25, -7, 3, 104\/7, -3\/7?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2983132g in tonnes?\nAnswer: 0.0000002983132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2138567 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1548\/(-8514))\/((-2)\/11)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 301 - -234. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 155844529?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*o - 196 = 0, 2*f - 6*f - 4*o = -392. Let w = f - 88. Solve 56 - 68 + 2*s**2 + 0*s**2 - w*s = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-30 - 0) + 42\/(-42). Let b(g) = g + 27. Let f be b(y). Is 2 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1011233 - 1?\nAnswer: -1011300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 10*g. Let o(n) = 2931700*n**2 - 2. Determine d(o(z)).\nAnswer: 29317000*z**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 12 (b) -0.2 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -27.095. Let z = l + -0.0772. Round z to three dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -25*v - 8. Calculate the remainder when z(-4) is divided by 33 + (-6 - 0) + 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 4:21 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/6))**48*(w**(-1)\/w)**(-39) assuming w is positive.\nAnswer: w**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154453?\nAnswer: 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 85.5\nAnswer: 82.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 1. Let v(l) = 9*l - 48. Let t(a) = -6*j(a) + v(a). Suppose -9*o + 7*o = -12. What are the prime factors of t(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24444 - -421402?\nAnswer: 341403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 2*y - 122*n - 411 = -106*n, 4*n + 110 = 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -481 (base 14) to base 3\nAnswer: -1020020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 + 17*y - 6. Let u be a(-9). Suppose -8*c - 4*h = -u*c - 70, c + 2 = -4*h. Let w = 28 - c. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 at least as big as 168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.6 (b) 21 (c) -3710 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4 (b) 2954 (c) -1\/5 (d) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 391468 and 62.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3 + -8)\/(((-20)\/(-84))\/(-5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 141117 + -2?\nAnswer: 141115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -28 + 26.4. Let a = r + -0.3. Let y = 1.8985 + a. What is y rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 23*n - 2. Let c(o) = -298*o + 28. Let s(g) = -26*b(g) - 2*c(g). Let a(f) = -4*f - 5 + f + 0*f. Suppose -5*k + 16 + 9 = 0. Give k*s(v) - 4*a(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 14 = -41. Sort 0, 1, -1, j in increasing order.\nAnswer: j, -1, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirteen quarters of a week?\nAnswer: 32760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1629, -1677, -1755, -1863, -2001, -2169?\nAnswer: -2367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/6 + 19354*q\/3 + 187288658\/3.\nAnswer: (q + 19354)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in 0.012, -168, -7, 0.3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 266*f - 407 + 94 + 308 as a + c*f and give c.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2506*m - 6 = -2512*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbr when three letters picked without replacement from {b: 3, u: 2, z: 3, k: 2, r: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -56048 - -275.84?\nAnswer: -55772.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-9) - 68\/(-12). Let w be (-22)\/(-9) - (27 - 1195\/45). Solve a = -w*a + f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 10*v**2 - 11*v + 4. Let a be u(-11). Suppose g = -a*g + 10. Suppose g*o - 3*o = -74. What is o rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 20\/(-12))*(-2 + -4). Suppose 5*h - 2*h + 21 = 3*w, -4*w - 4*h = -4. Let s = w - 0. Solve -5*j = -3*g + 27, 4*g - 2*j + s*j - t = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v = 3*w + 2*w - w + 4 - 3, w = -2*v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2 - 21*a + 87. Determine n(-23).\nAnswer: -488","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 532 - -1112?\nAnswer: 1644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*f = -8*c + 880, 0 = -3*f. Does 44 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -962598.31278.\nAnswer: -962593.31278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -136 (base 14) to base 5.\nAnswer: -1434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 957 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398522082?\nAnswer: 2, 3, 7, 9488621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 77872534699 and 31.\nAnswer: 77872534730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4896 and 18972.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 26*k**2 + 25*k. Let d be s(25). Suppose -p - 47 = u, d*p - 4*u = 2*p + 86. Let a = p + 119. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4 - 5 - 15*o**3 - 29 wrt o?\nAnswer: -45*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4)\/k*k\/k**7)**(-2\/11) assuming k is positive.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42 and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 n when two letters picked without replacement from {n: 4, y: 3, o: 8, p: 4}?\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 + k**2 - 3*k**2)*(3*k - 5*k + 4*k) + 4*k**3 - 6 + 6 + (2 - 2 - k**2)*(71*k + 75*k - 153*k) + (-2*k - k + 4*k)*(0*k**2 - k**2 + 2*k**2).\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/118716 and -89\/21012732?\nAnswer: 21012732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2541248*n**3*z**2 - n**2 + n*z**2 + 43*n + 1895 wrt n?\nAnswer: -15247488*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2632 - 2632.3. Let x be 6 + (-2 - (-1210)\/(-305)). Let q = 15\/4 + -7\/2. What is the fourth biggest value in u, x, -0.5, q?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340066477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18.521 - 0.521. Which is the second smallest value? (a) j (b) 0.3 (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 17*v + 49. Determine f(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -1\/14, 3, 2, 1 in ascending order.\nAnswer: -1\/14, 2\/13, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y**3 - 4*y**2 + y + 4. Suppose 2*n - 5*f - 16 = 0, 0*n + 4*n = 2*f + 16. What is the remainder when m(-3) is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-30)\/(-20))\/(36\/(-80)))\/(((-184)\/12)\/(-23))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 10:13 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(y**3 - 2*y**3 + 0*y**3) - y**2 + y**2 - y**3 + (y - y - 5*y**2)*(3*y + 0*y - y + 3*y - 2*y - 2*y + (0 + 0 - 2)*(7*y - 4*y - 4*y)).\nAnswer: -14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 13*k**2 + 25*k + 257. Determine j(-6).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2966 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1992, -3919, -5850, -7785, -9724, -11667, -13614?\nAnswer: -15565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 1\/60*l**5 + 0 - 1\/8*l**4 + l**3 - 7*l**2 + 0*l. Does 2 divide t(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j. Let a = -12 - -14. Let d(l) = -3*l**2 - 2*l**a + 2*l**2 + 0*l**2. What is d(k(w))?\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 5639448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/5)\/(3\/3). Let g(d) = -d**2 - 16*d - 62. Let p be g(-7). Put 5, p, k, 6 in ascending order.\nAnswer: k, p, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146787.\nAnswer: 3, 113, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7296*c + 7296*c - 166*c**2 - 5*c + 2*c**2 + 5*c + (-2 + 2 + 2*c)*(-2*c - 3*c + 3*c) + c**2 - 5 + 5.\nAnswer: -167*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29195 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + (-4)\/(3*(-11)\/(-51)). What is the closest to 14 in -1\/7, 2\/15, y?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*f - 21*f**2 - 167*f - 107 + 77*f + 85*f**2.\nAnswer: 64*f**2 - 2*f - 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2\/27, -0.266, -42\/19.\nAnswer: -42\/19, -0.266, 2\/27, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - w. Let v(t) = -120*t**3 + 710*t**2 + t. Let z(p) = m(p) + v(p). What is the third derivative of z(k) wrt k?\nAnswer: -720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 8 = -0. Let y(p) = 2*p**2 + 5*p - 4. Let m be y(u). Let v(a) = -m + 5*a + 8. Let i(t) = -2*t**2. What is i(v(b))?\nAnswer: -50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -b + 97, t - 5*b = 53 + 20. What is the remainder when 929 is divided by t?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2153*a**2*g*u + 4*a**2*g*z**2 - a**2*u*z**3 + 5*a*g*z**2 - a*z**3 - 2*g*z**2 - 10*u*z**2 + 2*u wrt a.\nAnswer: 4306*g*u + 8*g*z**2 - 2*u*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/62 and 89\/14192792.\nAnswer: 14192792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t + 365 = 379. Solve 0 = -3*l - n - t, 1 = 3*n + 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28758034?\nAnswer: 2, 211, 68147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 4*s + 30 = 21, -d + 4 = 3*s for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j**4\/5 + 456*j**3\/5 + 267*j**2\/5 - 996*j\/5 + 252\/5 = 0. Calculate j.\nAnswer: -21, -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -134922299 or -134922300?\nAnswer: -134922299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggggggggggghggggh. Give prob of picking 2 h.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -119 + 266. Let a = -97 + v. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from litziztttszzizlttt. What is prob of picking 1 l, 1 i, and 1 z?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (29258\/4)\/(-1 + 9\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 2*f = 12. Let z = f - -11. Find the third derivative of -u**3 - 8*u + z*u - 4*u**2 wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide -2*(4 + -3) + 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 78 - 258. Suppose 2*l + l + 12 = 0. Let b be (-1 - -25)*(-2)\/l. What is the highest common factor of k and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -145, -0.2, -77?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in hours?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 greater than or equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 1. Suppose 3*w + 36 = -17*m + 19*m, 2*m - 28 = 2*w. Let f = h - w. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -13, -2, 23, 68?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 23*l**2 - 2*l + 299. What is z(22)?\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 936.95 * -1.6\nAnswer: -1499.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - m**2)*(-2 + 6 + 0) + (-3*m - 2 + 2)*(2*m + 2 - 2 + 0*m - 2*m + 0*m + (-m + m + m)*(2 - 2 - 2) + 0*m + m - 3*m + 2*m - 3*m - m).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/((-10)\/(-6)*2\/5). Suppose -51 = -11*p - h*p. Solve p*v - 5*g - 31 = 0, 0 = 2*g - 1 + 11 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 - 46. Let n be 2\/((-216)\/(-315) - c\/14). Suppose 10 = 2*b - n*q, 1 + 1 = b - q. Solve b = w - 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/6426 and -151\/102.\nAnswer: 6426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4995423 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7327728?\nAnswer: 2, 3, 151, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 19.34. Let p = h + 0.04. Let f = 2206 - 2208. Which is the second smallest value? (a) f (b) 0.3 (c) -0.5 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u = 0. Suppose -6*c + 2*c + 12 = u. Suppose -c*a = -3 - 30. Is a a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 59 and -0.3?\nAnswer: -17.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1862 + -1279. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -587, -939, -837, -53, 1641, 4473, 8671?\nAnswer: 14463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or 49?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*a - 8*a + 0*a as m + y*a and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 31 - 3\/14*t**4 + 9\/14*t**2 - 2\/7*t**3 - 1\/14*t**6 - 3\/7*t + 9\/35*t**5. Factor d(f).\nAnswer: -3*(f - 1)**4*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2087, 266, -11, 8 in increasing order.\nAnswer: -2087, -11, 8, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 13, w: 3, m: 1}. Give prob of picking 1 m and 2 n.\nAnswer: 39\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43242638.\nAnswer: 2, 1301, 16619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.51 - 0.34. Let k = 0.23 + m. Sort k, 4, 1\/5 in decreasing order.\nAnswer: 4, k, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -43*q**5\/120 + q**3\/3 + 3*q**2\/2 - 40. Let g(c) be the third derivative of w(c). Let v(m) = -m. Give v(g(p)).\nAnswer: 43*p","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**3 - 842*m**2 + 842*m**2 - 4*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**3 - d**2 - 1. Let i be b(2). What is the third biggest value in i, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 38, 87, 134, 179, 222, 263, 302?\n\"Answer: -u**2 + 52*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32612 + 24469 = -1077*h for h.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**8\/(w**(2\/43)\/w*w)*(w*w\/(w*w\/w**0*w)*w*w)**8 assuming w is positive.\nAnswer: w**(686\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10951, 10946, 10945, 10948, 10955, 10966?\nAnswer: 10981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -26*c + 19. Let u(h) = -9*h**2. Give u(j(o)).\nAnswer: -6084*o**2 + 8892*o - 3249","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 6)*(-5 + 3 + 0)*(-1 - 2 + 1)*(2 + 1 - 5)*(-3*v**2 + 4*v**2 - 2*v**2).\nAnswer: -40*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 148073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + 0.4. Let o = -19\/9 - -16\/9. Put o, g, -3 in decreasing order.\nAnswer: g, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -488.1 and 88996102.\nAnswer: 88995613.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -824645884.9 - -0.27.\nAnswer: -824645884.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29\/60 + -4\/15. Let j = 0.1 - 3.1. What is the nearest to -2 in j, 3, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -26. Suppose -c - 111 = -3*p, -v*p + p = 5*c + 573. Is 8 a factor of c\/(-9)*3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*i**3*k**5 + 2*i**3*k**2 + 15*k**6 - k**2 - 5*k wrt k.\nAnswer: -1500*i**3*k**2 + 1800*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (174\/(-5) + 38)*(1\/(-1) - (1 + -12))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 185667, 185706, 185779, 185892, 186051?\n\"Answer: g**3 + 11*g**2 - g + 185656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*b + 50*b = -197*b + 184*b + 6962 for b.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - 5. Let t = y + 15. Let o = 42 - 30. Solve 0 = -4*p, -o = -t*b - b + p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 6*x - 11. Let u(b) = b**3 - b**2 - b + 8. Let p be u(0). Calculate w(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of -h**4\/6 + 20*h**3\/3 + 28*h**2. Let q be d(8). Suppose 10*y - 30 = q*y. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 525\/70*(17 + -30 + 11)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 661*12.3305\nAnswer: 8150.4605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 11*x**2 + 10*x + 8. Determine h(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**3 + m + 3*m - 5*m - 2*m**2 as p*m**3 + w + i*m**2 + n*m and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -83, -165, -249, -335, -423, -513?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 1064*k + 29481. Calculate f(27).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4757, 1182, -4773, -13108, -23823, -36918, -52393?\nAnswer: -70248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**5\/2 + 1095*b**4 - 321165*b**3\/2 + 8836120*b**2 - 122935680*b + 293529600 = 0 for b.\nAnswer: 3, 16, 112, 195","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b - 2*b - b**2 + 16. What is the remainder when 32 - 2 - (2 - 3) is divided by i(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 2:41 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 48 = -2*q. Suppose 3*o + q = 6*o. Is 2\/o - 1625\/(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5*15*(-5)\/(-5). Sort a, 6, -1, 2 in ascending order.\nAnswer: -1, 2, 6, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 15*14\/105*10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 859.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2722, -5 in increasing order.\nAnswer: -5, -4, 2722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 + -244 + (27 - -2) + (3 - 3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 0.2, -14, -0.2, -5, 98, 4 in ascending order.\nAnswer: -14, -5, -0.2, 0.1, 0.2, 4, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10942 + -2?\nAnswer: -10944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0472 times 0.041?\nAnswer: 0.0019352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1642 is divided by 612?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -402553\/119 + 3383. Find the common denominator of -2*(-108)\/80 - 7 and m.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4*l - 20 = 0, 3*z + l + 15 = 2*l. Let q(h) = h**3 + 5*h**2 + 5*h + 3. Let i be q(z). Is i > 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -450*o**3*x**2 - 14*o**3*x + o**3 + o**2*x**2 - 781*o**2*x - 5*o**2 + 2*x wrt o?\nAnswer: -2700*x**2 - 84*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p + 9. Let m be (-2)\/5 + 56\/(-10). Let h be y(m). Which is smaller: -4 or h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/9142 and -99\/20.\nAnswer: 91420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -1 (c) -1\/8 (d) 2 (e) 2245\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*p**3*v - 333129*p**3 - 98*p**2*v**4 with respect to v.\nAnswer: -13*p**3 - 392*p**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 43*a. Let k(s) = 10*s - 6. Let t = 28 + -23. Let x(h) = 8*h - 5. Let j(d) = t*k(d) - 6*x(d). Give f(j(q)).\nAnswer: -4*q**2 + 86*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5 = 35. Let j be 9\/i - (-65)\/25. What is the greatest common divisor of j and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 444*i + 3383. Let s be v(-8). Which is greater: -146 or s?\nAnswer: -146","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24623, -24624, -24625?\n\"Answer: -g - 24622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4 = -a. Let z(h) be the second derivative of -h**5\/20 - h**2\/2 - 180*h - 2. Let m(n) = 0*n**3 + n + 5 + 0*n + 7*n**3. Calculate a*m(p) + 5*z(p).\nAnswer: 2*p**3 + p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 51 - 24. Is 10\/f - (-6951)\/15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*z + 3*z**2 + z**2 - z**2 + 45*z to g + i*z + l*z**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/17)\/(2\/(-2)*1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 14*q. Let h(v) = v**2. Give h(x(z)).\nAnswer: 196*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69250, 69249, 69248, 69247, 69246?\nAnswer: 69245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 221 - 1109\/5. Let r(b) = b - 15. Let a be r(15). Which is greater: t or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j - 7. Let p = -57 + 53. Let t be h(p). Let m(q) = 56 + 55 + t*q**2 - 111. Let s(a) = -4*a**2. Calculate s(m(w)).\nAnswer: -100*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58 - -457. Let r = n + -32. Is (-2)\/(-1 + r\/489) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53310 is divided by 2735.\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 10 + 54. Suppose -u*c + 31*c = -6. Calculate the greatest common divisor of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1017806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 - 24. Solve 0*c - 5*c + 15 = o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and 479.\nAnswer: 479.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4704 divided by 96\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i*v**2 - 8*i*v + 3769*i + 70*v - 8 wrt v.\nAnswer: -2*i*v - 8*i + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7178 - 437748\/61. Is 3 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -568 + b**3 + 7*b - 20*b**2 - 6*b + 569 in the form p*b**3 + c*b**2 + k + l*b and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + n + 3596, 2704 = -3*h - 0*h + n. Round h to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 PM and 11:02 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7222 + 7266. Calculate the greatest common factor of 187 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/8*(-74)\/222*(-558)\/(-15)?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1988740 is divided by 662593.\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/3 (b) 294\/17 (c) 17 (d) 3.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/5))**(37\/2) assuming q is positive.\nAnswer: q**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 4*p**2 + 0*p - 2\/3*p**3 - 1\/24*p**4 + 0. What is t(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*t + 43 + 32 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -2\/57, -39\/7, 49, -3\/4, 2\/13?\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 1101225?\nAnswer: 1101234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2 - (3 - -8))*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 91117, 364442, 819977, 1457716, 2277653?\n\"Answer: -d**3 + 91111*d**2 - d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 139*j**2 - 776*j - 46. Give k(133).\nAnswer: 2880","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*y = -187*y + 16936. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q. Let s(a) = 33*a + 2. Determine s(c(o)).\nAnswer: 99*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 292797959 rounded to the nearest 1000000?\nAnswer: 293000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = t - 4. Let n = 252 - t. Suppose -4*g + n = -18. Calculate the remainder when 65 is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/3*175\/((-4900)\/(-168)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/3*r**2 + 0 - 1\/3*r**3 - r = 0. Calculate r.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 4*o**2 + 3*o + 4. Let v be f(-3). Suppose -10 = -4*w + 2*w. Suppose x - 5 = -3*b - 0, -5*x + b = 23. Sort x, w, v.\nAnswer: x, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 46*d**3 - 2*d**2 + 9*d + 9. What is f(-1)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28736 + 344833\/12. What is the third smallest value in -12, j, 0.1, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/2616 and -41\/2180.\nAnswer: 13080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 3 + 7. Suppose -2*b + y = -9, 3*b + n*b = y + 27. Let q(v) = -79*v - 49. Let s be q(-1). Calculate the highest common factor of s and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 140*j - 9992. What is c(-52)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*a**2 + 2*a**3 - 22*a**2 - 23*a**2 - 1 to the form r*a**2 + w*a**3 + i + c*a and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5948, 5949, 5952, 5957, 5964, 5973, 5984?\nAnswer: 5997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 349\/2 - 33857\/194. Is i at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*c - 5*c. Suppose 0 = 2*p - 3*p + c. Suppose -8*u + 8 = -p*u. Solve 5*y = -r - 12, 3*y = -3*r + u*r - 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204 and 476?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbcctcbcbtvbtfccctcc. Give prob of picking 1 f and 1 b.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/2)\/(-2))\/(1581\/7378)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -16*r. Let f be o(4). Let t be f\/(-11) - 8\/(-44). Suppose 4*i + 6 = t*i. Solve u = -3*a + 2*a - 5, 20 = i*u - 4*a for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2\/t)**(-38)\/(t**3\/t**(-2\/7)) assuming t is positive.\nAnswer: t**(-289\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -133329, -132368, -131371, -130320, -129197, -127984, -126663?\n\"Answer: 3*m**3 + 940*m - 134272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 14 + 5 = 0. Calculate the common denominator of 83\/4 and (y\/120)\/(3\/66).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2313*x**3 - 4623*x**2 - 2307*x + 3.\nAnswer: -3*(x + 1)**2*(771*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-18) - -1*(-1049)\/(-3). Solve 3*q + 355 - h = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, q: 3, t: 1, p: 6, o: 4}. Give prob of sequence ppoo.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**3\/2 + 7*r - 1. Let x(v) = -13*v - 1. Give p(x(a)).\nAnswer: 39*a + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 604, 611, 628, 661, 716, 799, 916?\n\"Answer: p**3 - p**2 + 3*p + 601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -18, -4 in decreasing order.\nAnswer: 3, -4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -593 (base 13) to base 16\nAnswer: -3c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 4, s: 2, f: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, s: 4, q: 6}. What is prob of sequence qsq?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -y**5\/20 + 4*y**4\/3 - y**3\/6 + 6*y**2 - 6*y. Let j be h(16). Let c be j + 3 - 1 - 0. Let x(v) = 2*v + 3. What is x(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**2\/5 + 23106*r - 115532\/5 = 0?\nAnswer: -57766, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g. Let m(h) = -28*h**2 - 10*h - 5. Let z(y) = 14*y**2 + 4*y + 2. Let v(t) = -2*m(t) - 5*z(t). Calculate v(o(k)).\nAnswer: -126*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c5 - 3?\nAnswer: -1c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/6 - 4*a**2 + 39*a\/2 - 27.\nAnswer: (a - 18)*(a - 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 314.69845 - 314.7. What is b rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24.88 + -12.062. Let z = k - 0.058. Let w = z + 36.8. What is the closest to -0.3 in -5, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93873, 375735, 845503, 1503177, 2348757, 3382243?\nAnswer: 4603635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 - 37 - (1 + -16)) + (-1299 - -1227).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 12) in base 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.5 (b) -4 (c) -1\/2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4.77, 6.68, 3, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from {z: 5, i: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*m**2 - 4*m + 3*m + 19*m**2 + 52*m**2.\nAnswer: 106*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -81\nAnswer: -729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 340 and 405460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 2*c - u, -2*c = 5*u + 18 + 82 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 10*s + 1. Let r = -5 + 7. Suppose r*d - 8 + 2 = 0. What is the least common multiple of d and f(1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -169*r - 1230. Let b be z(-9). Sort 1, -1, b in descending order.\nAnswer: b, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1 = 7, -37 = -3*u + 5*r. List the prime factors of (-1 + u)\/4 - -18.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 610 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -g + 6. Suppose -g*h - 2*h = -25. Put h, -1, -2 in descending order.\nAnswer: h, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1479 + -1430. Calculate the greatest common divisor of 287 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8353 - -643158\/77. Let c = l + 4\/7. Find the common denominator of c and -31\/192.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2cea - -3?\nAnswer: -2ce7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458564 is divided by 206.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000142942 rounded to six dps?\nAnswer: -0.000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3 + (-3 + 2 - 1)*(2 + 0 - 3) - 2 + 2 + 2 + 3 - 4 + 2)*(2*t - 3*t + 0*t)*(-37 + 50 + 39) + (2 - 6 + 2)*(6*t + 0*t + 3*t).\nAnswer: -226*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 448 = -264*o - 697, l = -2*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 8*t - 68. Give f(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.320663cm to micrometers.\nAnswer: 13206.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/7 + 13*a\/7 - 48\/7.\nAnswer: (a - 3)*(a + 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1454289?\nAnswer: 3, 484763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 4*m**2 - 5*m + 5. Let n be t(2). Is 10\/30 - (-1166)\/n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 183 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 133845317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1391092 to the nearest integer?\nAnswer: 1179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/8 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 10 = -s - 39, 2*b - 25 = -3*b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5579 by 3039.\nAnswer: -5579\/3039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/5 of a meter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -0.7 (c) 600\/1463 (d) -1\/7 (e) -5\/2 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/3 + 1664*n\/3 + 346112\/3.\nAnswer: 2*(n + 416)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (2 - (-7)\/(-3)) + (-3 - 807114\/(-63))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*w + 15*w + 8*w)*(-w**2 + 4*w**2 - w**2).\nAnswer: 160*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 608 = -4*k - 185, -2*k - 5*n + 231 = 0. Let y be 1\/5 + 58\/10. What are the prime factors of k\/14 - y\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.067287306+-1972\nAnswer: -1971.932712694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3\/14, 2, 1\/2, -2\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 319175 divided by 85?\nAnswer: 3755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5185, -5115, -5055, -5011, -4989, -4995, -5035?\nAnswer: -5115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 216756012 a multiple of 4224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1363? (a) -2 (b) 0.4 (c) 0.5 (d) -3 (e) -2\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 - 2*b**3 - 6*b**4 + 146525 - 77*b + 7*b**4 - 146523 as v*b + d*b**2 + f + p*b**4 + c*b**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40561 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 52\/16 - 3\/12. Let f be (9 - 2)*6\/21. Let v(b) = f*b**2 + 3 - 5 - 4*b**2 + 6*b - 3*b. Determine v(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -548 by 137.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -150235 take away 0.3?\nAnswer: -150235.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -d5?\nAnswer: d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2 - b - 1. Let q be (5\/(-2))\/(6\/(-4) + 2). What is the least common multiple of l(-1) and 12\/30 - 48\/q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -5\/12, -35, 4, -1\/56?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 94, 123?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v. Let r(s) = -s**2 - 4*s - 5. Calculate 6*h(p) + r(p).\nAnswer: -p**2 + 2*p - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 17017.\nAnswer: 340340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (c**3 - 5*c**3 + 3*c**3)*(-22 + 194 + 361) in the form n*c**3 + l*c**2 + m + x*c and give n.\nAnswer: -533","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {b: 18, e: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 158468.7 hours in minutes?\nAnswer: 9508122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n + 13*n + 5 - 5.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5 + 1125*p**4 - 321432*p**3 + 2829080*p**2 - 7495056*p + 6227280 = 0. What is p?\nAnswer: 2, 5, 558","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1032, -1028, -1022, -1014?\n\"Answer: a**2 + a - 1034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 343?\nAnswer: 4\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 242421341 - 2?\nAnswer: 242421334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**3 + 2*p**2 - 3*p + 2. Determine l(-3).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 100043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -6009 < -6208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 331749 and 10103265.\nAnswer: 111135915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 9 = -2*j. Suppose 2*t = -j*t - 25. Sort t, 0.4, 3 in descending order.\nAnswer: 3, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4*p**3 - 84*p + 8. Let c(f) = -2*f**3 - 47*f + 4. Calculate -5*c(m) + 3*t(m).\nAnswer: -2*m**3 - 17*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -110 - 6*j + 85 + 4*j. Let r be b(-12). Sort r, -15, -5 in ascending order.\nAnswer: -15, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22173 and 252072.\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z + z + 4*z + 2*z - z + 0*z + (0*z - 5*z + 2*z)*(4 - 3 + 0) - 8*z - 10*z - 18*z.\nAnswer: -35*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + (3*sqrt(99))\/sqrt(9)).\nAnswer: -6*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 3216121\nAnswer: -4\/3216121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 5*r - n - 125, -2*r + 3*n = -65. What is the greatest common factor of r and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33290*q + 90688 = 33274*q. Are -5668 and q non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -6*t**2 + 10*t + 3. Let s = 11 - 4. Let a be y(s). Let o = -131 - a. What is the greatest common divisor of o and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17541 + -46?\nAnswer: -17587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2178.12 or 0.036?\nAnswer: 2178.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - (45 + (-122 - -25)) - 42.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(((-28)\/(-35))\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - l + 13 - 32 - 4 - 13 as t*l + z and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(352))\/sqrt(8))\/(sqrt(44)\/(sqrt(11)*-2)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-4*(2 + (-5*sqrt(18)*-2)**2 + (sqrt(264)\/sqrt(99))\/(2*sqrt(48)\/sqrt(4))).\nAnswer: 8*sqrt(2)\/3 + 28832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 + 2*v + 3. Let s = -4673\/3 - -1558. Let c(h) be the first derivative of s*h**3 + h + 10 + 0*h**2. Determine 2*c(w) - f(w).\nAnswer: -w**2 - 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 12 + 15 - s - 28. Let c be m(-5). Which is smaller: 7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 9. Let t = 13 - d. Let q = -3 - -3. What is the closest to 0 in 3\/7, t, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*r + 55 = -4*o, 0 = -3*o + 4*r + 135. Calculate the lowest common multiple of o and 21.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 2:45 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2731 (base 10) to base 5.\nAnswer: 41411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70664 (base 9) to base 16.\nAnswer: -b587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -32*j - 10. Let o(k) = 17*k + 5. Let b(q) = 5*o(q) + 3*s(q). Let r(n) = 4*n + 2. Give -3*b(u) - 8*r(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/1196 and 95\/644.\nAnswer: 8372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -17, -37, -63, -95, -133, -177?\n\"Answer: -3*h**2 - 11*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9986 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -169941720991 - 0.1?\nAnswer: -169941720991.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -7*g - 42. Let c be r(-6). Suppose c = -0*z - 20*z + 360. Is z greater than or equal to 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 2*g**2 - 2*g - 3. Let r be y(3). Let d = -24 - -25. Suppose -3 - 1 = w. Sort d, w, r in decreasing order.\nAnswer: d, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 3*t - 13 = -4, 3*l - 14 = 5*t for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - ((10 - -1) + -2 + -17).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11944 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = 15*f - 45*f + 133. Let a(n) = -n**2 + 6*n + 10. Determine a(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w - 8. Let a be j(-7). Suppose -2 = -4*m - a. Let q be (8\/(-20))\/(27\/120) + 2. Which is smaller: m or q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 894.1056 decades in centuries?\nAnswer: 89.41056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11000111011011101001001 (base 2) to base 11\nAnswer: -3763916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v + 17*v - 42*v**3 - 9*v.\nAnswer: -42*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 34, 0, 1 in increasing order.\nAnswer: -5, 0, 1, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.162, 5, 0.1, -0.2, 2\/41, -122?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, i: 3, m: 1, q: 1, h: 2}. What is prob of sequence mrqr?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 5 = -5*u + 4*r, -5*r - 34 = u. Let m = -5 - u. Solve q - m = 3*n, 4*q + n = 2*n + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/14)\/(((-45)\/10)\/3)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 31276*q - 17872. Let m(n) = -3*n + 2. What is -g(u) - 8936*m(u)?\nAnswer: -4468*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6033 + 6135. Sort -6\/5, v, 0.5 in decreasing order.\nAnswer: v, 0.5, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -1, 128\/3 in decreasing order.\nAnswer: 128\/3, 2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 11*t**2 - 7*t + 24. Suppose -8*i + 12 = -5*i + 2*d, 0 = 4*d. Suppose -4*s - 9*a = -i*a - 48, -3*a + 47 = 5*s. List the prime factors of n(s).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 b when three letters picked without replacement from {b: 4, m: 6, n: 2}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*t**5 - 8*t**3 - t + 4 + 2*t**2 + 21*t**5 + 10*t - 38*t**5 - 6*t**4.\nAnswer: -(t - 1)*(t + 1)**3*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20766*p**3 - 14473*p - 2 wrt p?\nAnswer: 124596*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 6*n**2 - 8*n + 7. Suppose 0 = h + h - 10. Let y be k(h). Let p = y + 11. Solve -3*d = -2*d + p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1727 is divided by 79?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 453*k**6*m - 4*k**4 + 4*k**3*m**2 + 2*k**2*m**2 + 2*k**2*m - 417*k*m**2 - 2*k*m - 48*m**2 wrt k.\nAnswer: 54360*k**3*m - 96*k + 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c + 2. Let q(j) = j + 1. Let f(w) = 2*i(w) - 5*q(w). Let k be f(-2). Which is smaller: 1\/13 or k?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 6*h**5 - 7 + (0*h + 2*h**2 + 0*h)*(3*h**3 - 4*h**3 + 3*h**3 + (5*h**3 - 6*h**3 + 2*h**3)*(-2 + 1 + 3)).\nAnswer: 2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -3*w**3\/4 + 3480456*w**2 - 751771935*w\/4 + 5074445799\/2 = 0.\nAnswer: 27, 4640554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*z - 7*z - 9*z)*(5 + 0 - 2)*(-607 + 1147 - 674 + (0 + 3 - 4)*(-1 + 4 - 2) - 1 - 4 + 2) in the form f + l*z and give l.\nAnswer: 4140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/37052 and -11\/1340.\nAnswer: 12412420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253638508?\nAnswer: 2, 47, 373, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*u, 2*u + 4 - 13 = r. Let w(y) = 5*y**2 - 6*y - 10. Is 18 a factor of w(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -0*a + 154. Suppose -7*o + a = -70. Calculate the highest common divisor of o and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4405693?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 16. Determine i(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -189. Suppose 7*k - b = -1. Calculate the remainder when 50 is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.35590505 - 0.3559. Round t to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1122, -2387, -3652?\nAnswer: -4917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 159183279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33190 - -33190.80496. Round h to 3 decimal places.\nAnswer: 0.805","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -67?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 3*z = 105198 - 105268, 5*z - 25 = 0 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -196, -247, -300, -355, -412, -471?\n\"Answer: -n**2 - 48*n - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 202 and 262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in minutes?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 135151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6309881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349629*p**2 + 227*p - 227*p.\nAnswer: 349629*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*o**2 + 2 - 2 - 81*o**2.\nAnswer: -38*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4003 - 71?\nAnswer: 3822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -5186028.1 rounded to the nearest 1000?\nAnswer: -5186000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/(-5*1\/(-90)*2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12163 - -12163.2. What is the fourth smallest value in -40, 2, 0.3, q, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*o + 22, -159*n = -3*o - 164*n + 5. Solve -413 = -o*k - 408 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + h - 5691 = -5*t, 0 = t - 3*h - 1151. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3 + u**2 + u - u**3 + 4*u**2 - 1. Let d be 9\/6 + (-3)\/(-2). Does 5 divide f(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 142 and 16543?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 - -2*(-2)\/(-4). Let f(i) = 2*i. Let o be f(-1). What is the closest to -0.1 in j, o, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13 or 1.6?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 144\/384*(40\/(-78) + 2\/(-13)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/42 + (-5460866)\/(-69692)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -5*p**3\/6 - 14*p**2 + 52*p. Let w be z(-6). Let -3\/4 - 1\/4*q**w + q = 0. What is q?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z + 75. Let v be p(7). Let r = -80 + v. Factor -1 - 6*i**r + 8*i**2 + 10 + 14*i + 3.\nAnswer: 2*(i + 1)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/15, -1.1, 1\/3 in ascending order.\nAnswer: -1.1, -1\/15, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(-2)\/(-4) - -4. Suppose -5*y - 2*n + 84 = 0, -f*y + 2*n + 44 = -2*y. Let r be ((-36)\/y)\/(6\/(-16)). Solve 0 = -2*g + 5*g - r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -143, -87, -1, 109, 237?\n\"Answer: -m**3 + 21*m**2 - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -12*d**3 - 11*d**2 - 11. Let s(c) = 3*c**3 - c**2 + c. Let j be s(2). Let v(a) = -a**3 - a**2 - 1. Suppose 2*q = -10 + 6. What is j*v(l) + q*r(l)?\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*b - 28*b = -528. Let n = -98 - b. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1031 - 121?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1605 and 0.8?\nAnswer: -1284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/13, -0.166, 1\/262, -6, 4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -186, -250, -364, -534, -766?\n\"Answer: -v**3 - 19*v**2 - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p + 0*p + 0*p + 1)*(-685 - 340 - p**2 + 413) to w + v*p + a*p**2 + k*p**3 and give w.\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001101110 + -10000100110?\nAnswer: 101001001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - 75 - (-26 + 89)) + 32.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-15)*498\/(-16). Let s = y + 22\/5. Let u = 188 - 193. Put s, u, -0.4 in decreasing order.\nAnswer: s, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -3054450?\nAnswer: 3054443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 163 times -4\nAnswer: -652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 67271879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + n + 33, s + s + 57*n + 132 = 53*n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -38 (b) 2.24 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*t**4 - 1900*t**3*u - 311*t**2 - t*u + 1637*t - 37*u - 3 wrt t.\nAnswer: 36*t**2 - 11400*t*u - 622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -866 - -1096. Calculate the greatest common factor of 50 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*v + 2, -3*v = 5*q + v + 1. Suppose -30028 = -2*z + 2*a, -q*z + 4*a = 18373 - 63416. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*c**3*l**3*v + 3*c**3*v - c**3 - 221*c**2*l**3*v + 29*c**2*l - c*l**2 - 12*c*v - 2*l**3 wrt l?\nAnswer: -54*c**3*v - 1326*c**2*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 311 - 301. Let l(q) = -1 + c*q + 8 - 2 - q**2 - 6. Calculate l(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -295932, -591885, -887838, -1183791, -1479744, -1775697?\nAnswer: -2071650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i**2 - 13*i + 35. Suppose a + 49 = 5*v, -5*v = -7*a + 4*a - 47. Suppose 4*d + 2 = 3*l, -2*l + 5*d + v = 3*l. List the prime factors of c(l).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1198\/(-456) + 1 - 0. Let p = -3\/76 + d. Calculate the common denominator of 2\/(-4) + (-644)\/(-70) and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 + q**2 + 1. Let f be (28\/8 + -2)*2. Let a(w) = -w**3 - w**2 - 1. Determine f*a(c) + 3*m(c).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - l + 3. Let q(m) = 5*m**2 + 78*m + 20. Calculate 6*n(w) - q(w).\nAnswer: w**2 - 84*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*n**2 + 20 + 37*n - 22*n**2 + 23 + 15 - 53 in the form c*n**2 + w*n + t and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 2204104 divided by -78718?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(99)*2)\/sqrt(9).\nAnswer: 2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-3))\/o)\/o)**(-15)\/(o**(-2)*o**(-1)) assuming o is positive.\nAnswer: o**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.15 - -0.2. Let p = r - 50.05. Let c = 50.94 + p. Round c to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16343\/5764 + -9\/524. Calculate the common denominator of i and 11\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2570839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = c - 2*c. Let u = c + -7. Calculate the remainder when -32*3*(-1)\/3 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 5) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7*(-1 + -59 - 1). Let j be 2\/(21 + (-17980)\/856). Which is bigger: j or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/9 > -0.04435304?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5 + 5 + 2)*(14*q + 8 - 8) + 1 - 1 + 2*q)*(-3*q**2 - 4*q**2 + 6*q**2) - 2*q**3 + 4*q - 4*q in the form b + k*q**3 + f*q + d*q**2 and give k.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, -40, -5, 3\/22, -2, -13 in decreasing order.\nAnswer: 74, 3\/22, -2, -5, -13, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48925 rounded to 3 dps?\nAnswer: 0.489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 9) + (-477 - -410).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -42. Suppose 48 + z = 4*c. What are the prime factors of c\/2 - (-1)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = -0*v - 99. Let d be 21\/2*(12\/v)\/(-2). Let k be 0\/(4*1\/2). Solve 20 = 4*x, 2*r + k*r = 3*x - d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62 + 62 + 5*v)*(-v**2 + v**2 + 2*v - 3*v**2)*((5 - 4 - 2)*(2*v + 0 + 0) + v + 0*v - 4*v).\nAnswer: 75*v**4 - 50*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174, -591, -1006, -1419?\nAnswer: -1830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 426299 - -4363701. Round y to the nearest one hundred thousand.\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1395\/(-36))\/(((-1190)\/56)\/17)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1*-3.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**3 + 3*x**2 + 13*x - 3. Let d(h) = 6*h**3 - 10*h**2 - 40*h + 10. What is 3*d(f) + 10*w(f)?\nAnswer: -2*f**3 + 10*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33710 and 154850256?\nAnswer: 774251280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 512739848 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 3*f**2 + 4*f + 28. Let l be p(-4). Let d(g) = -g**2 - g + 1. Let q be d(-2). Put l, q, 4 in decreasing order.\nAnswer: 4, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - sqrt(156)\/(sqrt(3)*-2))\/(6*1*sqrt(4)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -15764834 and 8233804.\nAnswer: -7531030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10 + -8)\/(2\/(-14)). Let z = 21 + r. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c01 (base 14) to base 13.\nAnswer: -3752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38245, 146478, 326867, 579412, 904113?\nAnswer: 1300970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 12:48 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -401 + 491*p**4 - 2*p**5 - 10*p**2 + 559 + 12*p**2 - 797 wrt p.\nAnswer: -120*p**2 + 11784*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221112010 - -1?\nAnswer: -221112002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3328)\/(-12) - (-12)\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103 + -63. Solve -3*o - 5*m + z = -0*m, -2*o = -2*m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 65 + -60. What is the lowest common multiple of d and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23816 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -191\/52650 and 62\/2925.\nAnswer: 52650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 20, -3\/55, 0, -3?\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 104\/56)*(-21)\/(-6). Suppose 0 = -u - b*s + 997, 4*u - 27*s = -24*s + 4033. List the prime factors of u.\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.939 - -12.53212.\nAnswer: 2.59312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 56110.8nm?\nAnswer: 0.0000561108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 0 + 5 - t - 5*t to the form y + f*t and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -5. Let y be (-90)\/(-40) + (-2)\/8. Let o be y\/(-2) + 4\/6. Which is the closest to 1? (a) o (b) 0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43116.\nAnswer: 2, 3, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 3*g**2 + 4*g. Let i(d) = 2*d**3 + 3*d**2 - 5*d. Let a(m) = -3*b(m) - 2*i(m). Let z(l) = -l**2 + 23*l + 110. Let c be z(27). Determine a(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 230364503?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-75)\/(-6)*16\/40. Suppose 5*m - 4*m - 2 = 0. Suppose -n + k = -m*d, 0*n - 20 = 4*n. Let c(b) = -b. Give c(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((7\/7)\/(-2))\/((-19)\/(-76)))\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 - 12 = -8*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -145556768262 + -10.2?\nAnswer: -145556768272.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4 + 2778*d**3 + 605979*d**2 - 17190264*d + 114874032.\nAnswer: 3*(d - 13)**2*(d + 476)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33\/(-11))\/((4\/(-15))\/(12\/(-9))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1827.8*-0.5\nAnswer: 913.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2. Let u(z) be the first derivative of 1 + 4 + 0 + 5*z**2 + 6. Give u(l(m)).\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 111630413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67479 and 249.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -x - 96, g - 20 = -2*x - 3. Let q = g + -19. Suppose 5*o + 32 - 292 = q. Is o a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*l - 23 = 0, 0*i = i - 3*l + 13. Suppose 0 = -5*j - 5*s + 15, 5*j - s = -1 - i. Suppose -2*h = -8 - j. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q - 2. Let k be p(-2). Suppose -h + 5*h + 259 = -d, -2*d - 323 = 5*h. Let f = k - h. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 o when three letters picked without replacement from {x: 2, g: 1, o: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5 + (-651)\/(-133))*(51\/(-108) - -3) and -25\/38.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + -27. Let y = c - 3. Let t = y - 11. What is the third smallest value in t, 5\/4, 1\/10?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 10 = -j + 1, 44 = 4*t - 2*j. Calculate the highest common factor of t and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 28*r**3 - 41*r**2 + 26*r + 15. Let z(h) = -13*h**3 + 20*h**2 - 12*h - 7. Let l(f) = 6*d(f) + 13*z(f). Give l(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -47659\/400 and 3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2732936*c**3 - 67*c**2 - 149000723*c.\nAnswer: 16397616*c - 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 4. Give j(12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2780060 divided by 1145\nAnswer: 2428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/(-63))\/8)\/((-2)\/4)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*t + 20 = -4*t, -f + t = -5. Let z(b) = 2 + b + 10 + f*b. Let c be z(-10). What is c rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 6) + 17 + -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 4155*b + 8330.\nAnswer: -5*(b - 2)*(b + 833)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -79 - -97. Solve -5 - 13 = -i*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, o: 2, k: 2, z: 1, j: 2, u: 1}. Give prob of sequence oku.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2665964327 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210*v + 77*v + 38*v - 28880 = 0. Sort v, -1, 5 in decreasing order.\nAnswer: 5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**(1\/2) assuming m is positive.\nAnswer: sqrt(m)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1582926 or -1582820?\nAnswer: -1582820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 76*d**3 + 23*d**2 + 24*d + 1. What is z(-1)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1487 is divided by 43.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 362, 312, 240, 146, 30, -108?\nAnswer: -268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20915, 3, 2, 1 in increasing order.\nAnswer: -20915, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 4*l + 22 = 0, 4*q - 8*l + 10*l + 2 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.3007 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 7 - 13. Let k = 15 - 10. Solve -v - 7 = k*a, -c*a = 2*v - 1 + 9 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 148348, -5 in decreasing order.\nAnswer: 148348, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 + 51. Let r be f\/(2\/2)*(-38)\/(-1292). Let j = -238\/285 + 2\/57. Put j, -4\/7, r in decreasing order.\nAnswer: r, -4\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -108 + 34. Let q = r - 27. Suppose 4*l - 27 = -3*c, -2*c - q = -3*l - 28. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 = -8*p + 48. Suppose 10*x - p = 15. Solve 5*y = -3*c - 27, -3*c + 3*y + 1 = x for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 4*i + 12. Let v be r(-4). Let s = 2363 - 2368. Put 1\/3, -0.5, v, s in decreasing order.\nAnswer: 1\/3, -0.5, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 7\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*f = -15. Suppose 3 + 57 = f*j. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - g - 2*p + 314 = 0, 5*p = 2*g - 286. Suppose -g - 137 = -5*a. Suppose 15 = -f + a. Calculate the remainder when f is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1426*m - 10*m - 6*m + 1.\nAnswer: 1410*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/17052 and 79\/2436?\nAnswer: 17052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 33 = y + j, -3 = 4*y - 3*j. Suppose 0 = 3*h + 45 - 177. Let s = h - y. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1 (b) 3 (c) -10282\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-578)\/82 - (-5 + 20\/(-10))?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**4 + 2 - 2 + ((3*i - 3*i - 2*i)*(-3 + 0 + 4) - 2*i - 3*i + i)*(i**3 - i + i) as q*i**2 + m*i + j + y*i**4 + l*i**3 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - 35. Let i be p(6). Is 5\/19 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-39)\/(-429) - (2086650\/(-66) + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v - 16 = 0. Let b(t) = -6*t**2 - 21*t + 2. Let j be b(5). Let x = 268 + j. Calculate the remainder when x is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15639979 is divided by 144.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -21708, -42780, -63218, -83022, -102192?\n\"Answer: 317*m**2 - 22023*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 4*r**2 + 5*r + 2. Let c be u(-5). Let j = 4 - c. Suppose 1326*s + 5642 = -318*s - 4222. Sort j, s, -2, 3 in descending order.\nAnswer: 3, j, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (-13 - (-27 + 14))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 673998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.8 - -7.8. Which is the fourth biggest value? (a) s (b) -5 (c) 0.3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*g - 1109028 - 1744609. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h + 6. Let i be w(6). Suppose 0 = 3*l - r + 17, 0 = -4*l - 4*r - 45 + 17. Which is the nearest to 0.1? (a) i (b) l (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - 53) + 1 + 16.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*f - 69*f = -2*g + 2, -30 = -3*f - 3*g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -233 - -240. Let z(u) = 3*u - 3*u - t + 2*u + 7 + 12. Calculate z(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5*u. Let s(b) = -15*b + 3. Give s(i(l)).\nAnswer: 75*l + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12746050 and -5.\nAnswer: 63730250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s**2 + 29*s + 11. Let d be p(6). Suppose -47 = -2*w + 5*z, -d*w - 3*z = 2*z - 170. Solve 5*q = 3*f + f - w, 5*f = 20 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -8*t + 3 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 210 - -12412?\nAnswer: 12622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.342 + -0.38. Let m = 300717.0380063 - 300717. Let c = m + z. What is c rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of o**5\/20 + 5*o**4\/12 + o**3\/3 + 4*o + 5. Suppose -t = -6*t + 10. Suppose 0 = a - 2*a - t, 0 = -u - 2*a - 8. What is y(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100001011101100100001 (base 2) to base 13.\nAnswer: 1133256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 4*g - 23, -4*g - 2 - 2 = -4*f. Suppose -252*b - 1782 = 22*b + 23*b. Let h be 452*1*f\/b. Round h to the nearest ten.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2 = -2. Suppose -k - 3 = -2*n + b, 0 = k + 4. Suppose -4*x + 5*g + 73 = n, 0*x - 5*g - 7 = -x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*l + 41 = 0, 46*l = 2*q + 44*l - 30. Solve -45 = 7*x - q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 + 46. Find the third derivative of -2*l**w + 6*l**2 - 10*l**2 + 38*l**3 wrt l.\nAnswer: 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -204*q**2. Let b(o) = -146 + 2*o**2 - 132 + 278 - 3*o**2. Give w(b(l)).\nAnswer: -204*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -131.\nAnswer: -3\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.15908 - 58.7\nAnswer: -58.54092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95 and 3667.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 6*i**2 + 6*i + 8. Let f be b(7). Let q(t) = t**3 - 6*t**2 + 5*t - 5. Let r be q(5). Sort f, r, -1 in ascending order.\nAnswer: r, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-5))**(-50)*o*o*o*o**9*o*(o*o**14)\/o assuming o is positive.\nAnswer: o**277","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/18*-6*57\/(-38)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 + 7452*f + 74120.\nAnswer: 4*(f + 10)*(f + 1853)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5619, 27, -3, -4, 159 in decreasing order.\nAnswer: 159, 27, -3, -4, -5619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5075069669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 141\/204*-4 - (12 + -15)\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171881, -687539, -1546979, -2750213, -4297253, -6188111?\nAnswer: -8422799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74683757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -36*y + 24. Let s(u) = -4*u + 3. Let p(v) = b(v) - 8*s(v). Let m(a) = 585*a. Give m(p(z)).\nAnswer: -2340*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 0*s + 1077 = -s, 4*s = -16. Let a = l + -450. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 7:22 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.375 to 2 decimal places.\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2150099 and 181.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 234512230579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 7*q - 2. Let s be h(-7). Let d = -2 + s. Put 3, d, -3 in ascending order.\nAnswer: d, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zszx when four letters picked without replacement from {x: 1, s: 2, z: 2, e: 1, n: 4}?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (1 - -2 - (35 - 40))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjyssyysyybnbb. Give prob of picking 2 b.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11.5 - -12. What is the third smallest value in t, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n - 1. Let t be d(-1). Which is bigger: 2 or t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.432328 to 2 dps.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 779691931?\nAnswer: 67, 1439, 8087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/81 and 14\/201.\nAnswer: 5427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 10, 4, -1881, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -9 + (8 - (-12 + 5)) - 33\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 42*q - 172. Let i be o(4). Sort i, 199, 1 in ascending order.\nAnswer: i, 1, 199","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*y**2 + y - 10*y**2 + 12*y**2 - 1)*(-2*y + 2*y - 2*y**2).\nAnswer: 26*y**4 - 2*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.732, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 111*a + 234.\nAnswer: -3*(a - 2)*(a + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3.3, -11, 18081\/22?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92 = -4*c - 11*q - 22, -32*c + 34*c + c = -3*q + 21 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 8:41 PM?\nAnswer: 9:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011 at least -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = o + 23, 3*w = -w + 4*o + 28. What is the units digit of -1 - -4*w - 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*j - 3*a + 1315 = 47*j, -4*a = -2*j + 2570. Is 1297 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 z when two letters picked without replacement from kkkkkkmvfkpfvzfpk?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -130, -194, -258?\n\"Answer: -64*q - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5*-744\nAnswer: -3720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (4 - (5 + 6) - -1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*f - f + 18, 2*f = 6. Suppose j*b = 2*b - 8. Calculate the common denominator of 1\/12 and (8\/168)\/(b\/69).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.9961522 rounded to 1 dp?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1879183833 to the power of 1\/2, to the nearest integer?\nAnswer: 43350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270\/(-69) + 24\/690*(-5)\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 r when two letters picked without replacement from {f: 1, v: 1, r: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 3:26 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 3*o - 2. Calculate d(6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*n + 30 + 42. Suppose n*g - 10*g - 8 = 0. What is the remainder when g is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -401*o**2 - 182590*o + 186584*o + 402*o**2.\nAnswer: o**2 + 3994*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**5 + 2*v**5 + 0*v**5 - 3*v**5 + 3*v**5 - 10*v**5 + (-2*v**4 + 16 - 16)*(-2*v - 2*v + 3*v) - v**5 - 2*v**5 + 0*v**5.\nAnswer: -9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 + 81*d**2 + 41*d - 31. Give t(-40).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 23320545 and -4.\nAnswer: 23320541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.692, -2\/7, -4, 1\/7 in descending order.\nAnswer: 0.692, 1\/7, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 50*g**3 + 348*g**2 + 13385*g + 93801. Give k(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 6*f + 2013. Calculate the highest common divisor of f and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7242030.\nAnswer: 2, 3, 5, 67, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*l + 7788 = -62*l. What is the remainder when 390 is divided by l?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/5*r**2 - 4\/5*r - 2\/5*r**3 + 0.\nAnswer: -2*r*(r - 2)*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 10*f**2 + 11*f - 11. Suppose 0 = -b + 5 + 4. Calculate the least common multiple of x(b) and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1182\/25 not equal to -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 r when two letters picked without replacement from {k: 2, b: 4, y: 2, d: 1, r: 1}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + 2*(sqrt(19) + 2).\nAnswer: 7 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11690 and 8815930.\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 0*c + c)*((-3*c**2 + 1 - 1)*(-2 - c + 2)*(-15 + 9 + 22) + 0*c**3 - 4*c**3 + 3*c**3).\nAnswer: -94*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -79*z + 18*z - 324 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 11:32 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q - 9 + 2 + 8)*(13 + 18 - q - 35) to the form g*q**2 + k*q + t and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 5*a + 16*a - 10*a)*(-2*a + 2 - 2) - 4*a**2 + 0*a**2 + 3*a**2 to d*a**2 + b*a + o and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 7:19 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a - 5*a + a - 7296879 + 7296879 + 9989*a - 4*a + 0*a + 2*a + (-a + 5*a - 3*a)*(-2 + 0 + 3).\nAnswer: 9987*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 8*v + 2. Calculate the remainder when s(-6) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21005213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 622.365 litres to millilitres.\nAnswer: 622365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1607.\nAnswer: 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39 - -78. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*q = b - 18, 5*q = -4*b - 15. Let a be 2\/b*(-11)\/34. Let z = 6238\/255 - a. Calculate the common denominator of z and -85\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z = -5 + 83. Find the third derivative of 12*q**2 - q + 69*q**z - 7*q - 7*q - q + 21*q wrt q.\nAnswer: 414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f + 7*f + 1 - 2*f - 3*f. Let s(u) = -2*u - 4. Let p(d) = 1. Let k(a) = -6*p(a) - s(a). What is 14*b(h) + 6*k(h)?\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -679 - -688. Suppose 4*s = r - 48, -2*r - 3*s = -0*s - 74. What is the remainder when r is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 3 (c) -59 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9981673 or -9981655?\nAnswer: -9981673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = -7*b - 92300000. Suppose -7*v - 6*v = -b. What is v rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = -s + 7*j - 4*j, 2*j + 8*j - 5*j - 5 = 0 for s.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 12*f - 7. Determine w(9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*w + 15, 2*w = 3*a - 5*a - 6. Let o be a - (-2 + (-2 - -2)). Suppose 10 = 3*c + o*c. Solve 3*j + 16 = 3*h + c*h, -4*h + 14 = -2*j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((-36)\/(-210))*440\/200?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101001110101101 + -100?\nAnswer: 101001110101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17310 - 22898 - 34378 = 19255*l + 56309 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 397597?\nAnswer: 397597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m. Let n(v) be the third derivative of -7*v**4\/12 - 15*v**2. Give q(n(b)).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16 - -11) + (7 - -1). Solve 2*x = -x - v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*-1*-4*-6*-1)\/(-3*sqrt(160) - sqrt(10) - (-1*sqrt(810) - sqrt(810) - sqrt(810))).\nAnswer: 12*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-47)\/(-235) - 49\/(-5). Solve 0*d - 5*d = -u for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -906 - -933. Solve 5*k + 7 = i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 170335 + -105599. Is 34 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = t, 10 = 4*t + 2*f - 8. Suppose -80*k + 79*k = -t. Suppose 2*q + c = 5, -k*q - 3*c - 10 = -2*q. Calculate the greatest common divisor of 80 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/105 and -155\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15f (base 16) in base 8?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1112334*k**2 - 8*k + 4198043?\nAnswer: -2224668*k - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4371392723 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h + 3*h**2 + 2 - 2*h**2 - 4*h)*(7*h**2 - 61 + 49 - 4*h**2) as y*h**3 + a + s*h**2 + f*h**4 + x*h and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.58 + 0.18. Let k = 0.2 - 0. Let f = -4 - -5. What is the closest to f in k, -1\/5, o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-174)\/36 + 50\/(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4269 + 456 = 15*t. Is 21 a factor of ((-32)\/(-40))\/(6\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9902277 by -433.\nAnswer: 22869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**3\/13 + 464*f**2\/13 + 2034*f - 4212 = 0. Calculate f.\nAnswer: -117, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2427*u - 2322*u - 5503 - 5522 for u.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 468340 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 g(p) = 7*p - 152. Let d(y) = 3*y + 5. Calculate 3*d(k) + g(k).\nAnswer: 16*k - 137","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 3*g + 13, -3*h + 46 = -3*g + 10 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 7:27 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/21774430?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*t + 1473 = 0, 3*t - 1058 - 373 = -z. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1621*s - 1. Let p be f(-1). Let g = p - 1011. Suppose 5*z = g + 151. What is the greatest common factor of 19 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*m**2 - 9831*m + 9831*m.\nAnswer: 71*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 0.3 (c) 3\/2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47073486997 - 4.\nAnswer: -47073487001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1212 (base 4) to base 9.\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 8*u**2 - 3*u + 9. Suppose -2*t = -3*v - 47, -5*t + 60 = 4*v - 0*v. Let c = t + -11. What is the tens digit of g(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*l - 11. Let s = 0.37 + -0.07. Sort -0.1, l, s in increasing order.\nAnswer: l, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**5\/3 - 2*r**4 - 8*r**3\/3 = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 245614 - 5?\nAnswer: 245606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 1)\/((-4)\/6). Let i be 2\/(-5) + (-34)\/(-10). Let w(n) = -2*n + 1 + i*n + 1. Determine w(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z + 203. Let x(p) = -16*p - 16. What is y(x(a))?\nAnswer: 32*a + 235","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -97. Let r = q - 28. Is r a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 1:41 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 363 and 1331.\nAnswer: 3993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**4 - 23*o**2 - 2 + 2 + 28*o**2 - 1 to the form i*o**4 + k*o + f*o**2 + b + r*o**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17149*f + 22137 = -17306*f for f.\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h + 30. Let o be c(-22). Suppose -12 = -o*t + 4*t. Solve -t*y = -6, x + y = -0*y - 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 40. Let b(k) = 2606*k + 521200. Give b(i) + 13030*r(i).\nAnswer: -10424*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -116356740?\nAnswer: 116356742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425*t = 76*t + 2094 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -5*v + 2*v - 13, 5*o + 45 = 5*v. Let n be 2\/v + 202\/4. Let g = 1372 - 1355. What is the highest common factor of g and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5216444 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 6 = -14*r. Solve -2*n = 5*j - 17, -27 = -5*j - n - r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.3 and -27053.9.\nAnswer: 35170.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5089961.316 rounded to the nearest 100?\nAnswer: 5090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 493 and 1445.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -2\/7 (c) 16 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (60\/50)\/(27\/90). Sort 32, k, 3, 1 in descending order.\nAnswer: 32, k, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37333 divided by 3.\nAnswer: -37333\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 87.08 + -87.18. What is the closest to -4 in -4\/9, -1\/18, p?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h. Let r = -166 + 170. Let l(u) = r*u - 21 + 21. Determine l(s(g)).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*s**2 + 10*s**2 - 8*s**2)*(-7*s + 3 + 15*s - 10*s) to u*s**2 + h*s + j + n*s**3 and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 17, -10, -39?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 38 - 3?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 8 = 28. Sort w, 5, -6 in decreasing order.\nAnswer: 5, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8373945 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5706 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 1 + 4 + 3 - 13 + 3*a. Let m be b(3). Solve 2*y + y + 4*c = -1, m = 3*y - c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 487071216 to the nearest integer?\nAnswer: 22070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5 + sqrt(171)*-2 - (sqrt(152) + sqrt(152) + sqrt(152)*1*-6)\/(-1*sqrt(800)).\nAnswer: -32*sqrt(19)\/5 - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 3*g - 106691, -8*p - g + 133340 = -3*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -176.1 times -0.4?\nAnswer: 70.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*i - 14750 - 14724 + 29354 to d + z*i and give z.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 6*n**3 - n + 3. Let q(a) = -a**3 + a - 1. Let d = -464 - -465. Suppose 3*l + 9 = 12. Calculate d*q(c) + l*x(c).\nAnswer: 5*c**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 1438856 a multiple of 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 7734.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-20)*(-25)\/(-15). Which is the nearest to v? (a) 0.3 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 7:49 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -20, -23, -4, 49, 148, 305?\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 6. Let v(x) = -x + x + x - n. Let s be v(2). Put 5, -2, s in decreasing order.\nAnswer: 5, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27524.62929 + 571.04161. Let g = c + -28097. Let w = g - -1.33. What is w rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -o - 0. What is the units digit of -2 - 7\/o*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -3 (b) 5 (c) 1675 (d) -6 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -860575333 and 24316?\nAnswer: 860599649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*x**2 - 64*x**2 + 232*x**2 - 421*x**3 - 73*x**2 - 1323*x**3.\nAnswer: -1744*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a millennium?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 193160 and 623920?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*v - 172 = 4*p, -12*v - 61 = 2*p + 3*v - 10*v for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 511 a factor of 29321180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 3*l + 5. Let w(u) = 2*u - 3*u - 539*u**3 + 6 - 3*u + 540*u**3. Determine 4*v(j) - 3*w(j).\nAnswer: j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -8*s**3 + 6*s**2 + 46*s - 14. Let o(v) = -5*v**3 + 3*v**2 + 23*v - 7. Let r(x) = -5*o(x) + 2*w(x). What is the tens digit of r(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1893347247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/(m*m**(-7))*m)*m\/(m\/m**(-10)) assuming m is positive.\nAnswer: m**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -43750.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a44 - -1?\nAnswer: a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(-2*h - 2*h - 3*h + (-2 - 1 + 1)*(-h + h + 2*h)).\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (19\/(-4))\/(154\/(-5432)). Let j = 167 - x. What is the common denominator of j and 2\/5 + 37\/(-80)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3153*c - c**2 + 2*c**2 + 3153*c + 0*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -8*c - 10 - c - 4*c + 11*c. Let o be n(-6). Suppose 96 = 5*y - 4*x - 402, -200 = -2*y + o*x. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 1 = -2*r - 3, -12 = -3*r. Suppose 2*u = -o*u + 2024. Does 23 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1114 - -1151. Solve -46*w + 221 = c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (240\/(-10)*2)\/2?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -750a - 1a76?\nAnswer: -9485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 5*g + 24. Let n be 1*g - (-4 + 4). Let r = n + -3. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k - 6. Let q(w) = -5*w - 7. Let b = -398 + 402. Suppose -2 = -2*c + 3*y, -b*y + 18 = 3*c - 19. What is c*n(t) - 6*q(t)?\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 12:15 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*g + 35*g - 162 = 3*u, 5*u = -5*g + 260. Calculate the remainder when g is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 19. Let v be s\/18*24\/30. Which is the third biggest value? (a) 4 (b) v (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, k: 10}. What is prob of picking 2 k and 1 r?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 + 7*d**2 - 2*d + 13. Let c be j(-4). Let s be (c - (-155)\/(-25))\/(6\/20). Let b(w) = -w - 9. Determine b(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/((-3)\/(-6)*-3). Suppose 0 = m + u*m. Determine n, given that -6*n + 1 + m*n**3 + 9*n**2 - 4*n**3 + 0 = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhrahhrhhpayhyppyy. What is prob of sequence pp?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -1. Suppose -a + 1 = -2*c, 0*c - 4*c = -5*a + 11. Which is bigger: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1021*r + 49633. Determine g(-50).\nAnswer: -1417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 5*g - 4*z + 19, 0 = -2*g + 4*z - 10. Suppose 5*w - 337 = -4*r + 334, -g*w - r + 404 = 0. Is 45 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35414560 is divided by 65?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**7\/840 - a**6\/5 + 72*a**5\/5 - 576*a**4 + 43*a**3\/6 + 77*a. Let v(g) be the second derivative of i(g). Factor v(k).\nAnswer: (k - 24)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/1626 and -13\/2994.\nAnswer: 811374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.7799 decades to centuries.\nAnswer: 4.27799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02822 * 0.2.\nAnswer: 0.005644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c = 11*c - 16. Let b be (-90)\/(-20)*c\/6. Suppose 0 = 5*a - b*a + 3. Solve 2*h + a*h = 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 3. Let n be (-1)\/m*(-45)\/5. Solve -2*y + 3*y = -4*r + 14, n*y + 3*r - 6 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 - 65286*d**2 + 261108*d - 261096.\nAnswer: 3*(d - 21758)*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74124.\nAnswer: 2, 3, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45860 - 45838. Let p(a) = a**2 - a. Let f(z) = z**2 - z. Let d(t) = 8*t**2 - 7*t. Let x(q) = d(q) + 4*f(q). Determine v*p(b) - 2*x(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*p - 226, -9*j - 5*p + 1205 = -4*j. Is 41 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * 28.3.\nAnswer: -1.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence un when two letters picked without replacement from unucucu.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/6 and 87\/332.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) -1 (c) 4 (d) 13 (e) -679 (f) -5.9 (g) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13647998\/8 + (-22)\/(-88). What is o rounded to the nearest 100000?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 710126196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 45576484940 and 1?\nAnswer: 45576484939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -152 (base 10) to base 12\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -45\/11 + 13\/11*l**2 - 1\/11*l**3 - 31\/11*l = 0. What is l?\nAnswer: -1, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/2))**(1\/41)*j*j**(-4\/7)*j*(j*j\/(j**(-3)*j))\/j*((j\/((j\/j**(-1))\/j))**(-2\/101))**(-1\/16) assuming j is positive.\nAnswer: j**(2535\/574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*a - 2, 5*a = 3*q + 11 - 36. Let l(c) be the first derivative of -17*c**4\/4 - c**3\/3 + 3*c**2\/2 + 3*c - 8. What are the prime factors of l(a)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of -o**8\/147 + 4*o**7\/245 + o**6\/56 + o**5\/210 - 7*o**2. Factor l(c).\nAnswer: -c**2*(c - 2)*(4*c + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2319173 and 194.\nAnswer: 4638346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 12*n - 15*n - 4*n**2 + 8*n - n**3 + 3. Let f be z(-5). Let l be (f\/(-6))\/(1\/(-56)). What is the greatest common divisor of l and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -14*v**2 + 12*v - 8. Let z(u) = u**2. Let k(i) = -l(i) - 10*z(i). Factor k(a).\nAnswer: 4*(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 17. Let f be h(-3). Let a be (-56)\/f*22*500\/(-16). Round a to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/8 - -13\/40. Let q = 8860 + -8863. What is the second biggest value in q, -5, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 394 - 78. What is the remainder when v is divided by 170?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -657740*s. Let d(r) = -2*r**2. What is y(d(l))?\nAnswer: 1315480*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 - 396.\nAnswer: -396.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/6)*(k**4*k)\/k*k**(3\/5)*((k\/(k\/k**(3\/2)))\/(k*(k*k*k**(3\/5))\/k))\/(k**(-2)\/k**5) assuming k is positive.\nAnswer: k**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 651547 divided by 27.\nAnswer: 651547\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, o: 6, i: 2}. Give prob of picking 1 i and 2 o.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500)*1*-3 + (2*sqrt(500)*-1)**2.\nAnswer: -30*sqrt(5) + 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -152 + 158.1. Let h = l - 6. Is h > -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 3055874, -0.4, 3, -2, -6 in increasing order.\nAnswer: -6, -2, -0.4, 3, 7, 3055874","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -8*x + 59. Is 9 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -16, 4\/7, 2\/73, 3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002187764 rounded to six dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (9 - 5) + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.07 (b) -5 (c) -3 (d) 5 (e) -11358 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 5:21 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -11*a. Let c(q) = -16*q + 1092. What is -c(t) + 2*n(t)?\nAnswer: -6*t - 1092","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6757094569 less than -1?\nAnswer: -4.6757094569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*s**5 + 0 + (-2*s**3 + 2*s - 2*s)*(6*s**2 + 37*s - 37*s) + 4*s**3 + 3 - 370*s**4 + 186*s**4 + 186*s**4 - 6*s**5.\nAnswer: -16*s**5 + 2*s**4 + 4*s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-2\/3)*k)**(-11)\/(k*k**(1\/2)*k**6))\/((k*k**(2\/3)*k*(k**1\/k)\/k)\/(k**3*k**4\/k)) assuming k is positive.\nAnswer: k**(-173\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.106464 less than -49.8?\nAnswer: -49.693536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhzh when four letters picked without replacement from {z: 2, h: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 2*f + 10. Let k be q(-3). Find the second derivative of -62*b + 30*b**2 - 25*b**4 + 10*b**4 + k*b**4 wrt b.\nAnswer: -24*b**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -150.15 + -2.85. Is -2\/3 >= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-10 - (-11 - -2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 105*r - 314. Give f(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yjj when three letters picked without replacement from jjjyzyzjjjjjjj.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 3633*r**3 - 3100*r**3 + 45*r**4 + r**5 - 28322*r**2 + 14104*r**3 - 285*r**4 = 0.\nAnswer: 0, 2, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-18) - 19756\/(-198)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(5*u**2 - 3*u**2 + 0*u**2) + 261*u**2 + 22 - 143*u**2 - 122*u**2.\nAnswer: -8*u**2 + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 84 = -4*j, -3*z - 48 = 3*j + 39. Let a = 29 + j. Suppose 90 = 3*i + a*g - 2*g, 4*i - 4*g = 100. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen ninths of a day in minutes?\nAnswer: 2720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*p + 9 = a, 3*p = 4*a - 1. Suppose 5*l = 4*c - 6608, -c + 2193 = p*l + 516. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 10:57 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 h, and 1 n when three letters picked without replacement from {q: 1, l: 1, n: 1, h: 1, s: 4}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6468436859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -1385440?\nAnswer: 1385445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1340 and 12047270?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n**5 + 1520*n**4 - 12788*n**3 - 145056*n**2 - 279360*n = 0.\nAnswer: -388, -4, -3, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 463.104 from -0.4.\nAnswer: -463.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m - 8*m - 368 = -102 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -12.4097 at least as big as -4.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 11:12 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -41 and 0.272?\nAnswer: -11.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -1006\/1263 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -4.2. Let a = 0.07 + -0.27. What is the nearest to -1 in -0.4, u, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 3*v**3\/2 + 12*v**2 = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2520829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 3\/1198 (b) 512 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.6 - 2.7. Let i = q + -2.9. What is the smallest value in 3\/8, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*t + 868 = 256 - 782. Solve 19*x + 53 = t for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i**2 + 3*i - 5. Let q(r) = -1. Let f(l) = -3*q(l) + w(l). Is 3 a factor of f(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26 - 7) + (-20 - -8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cscapcdpcdsd. Give prob of picking 2 c and 1 d.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 74374*n - 1513. Is m(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 901*q = 1535*q - 13314 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*k*n**3 + 15*k*n**2 + 12*k*n + 2*k - n**3 - n**2 - 3*n - 2 wrt n.\nAnswer: 72*k*n + 30*k - 6*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209, -203, -183, -143, -77, 21?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-1 + 0 - (2 - 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 337*t - 695*t + 2 + 362*t. Calculate v(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 + 45*w - 5. Let t be f(-26). What is t rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 6718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 23*x**2 - 49*x + 48. What is p(1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1401 is divided by 317.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -13. Solve 14*q - l*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -63570041*v. Let z(d) = 2*d. Determine z(u(w)).\nAnswer: -127140082*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34595 + 34596. Let m(d) = -33*d + 8. Give m(j).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g**3 - 11. Let y be (23 + (-4)\/4)\/(-2). Let s(a) = a**3 + 2. Let p(n) = y*s(n) - 2*j(n). Factor p(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.088, -50\/9, -0.08 in descending order.\nAnswer: -0.08, -1.088, -50\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**9\/a**(-2\/3)*(a**(13\/2))**(-11))**8 assuming a is positive.\nAnswer: a**(-1484\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 465541.83 milliseconds?\nAnswer: 0.005388215625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5978933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1629 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r**2 + 10*r - 6. Let l(n) = -n**2 + 6*n - 4. Let k(f) = 2*l(f) - x(f). Let m(t) = -t**2 - t + 1. Give -k(h) - m(h).\nAnswer: -2*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 2*k**7\/63 - 19*k**6\/45 + 17*k**5\/10 - 59*k**4\/18 + 31*k**3\/9 - 2*k**2 + 2*k - 6. What is z in i(z) = 0?\nAnswer: 1\/2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -91*r**2 + 39*r**2 + 121*r + 53*r**2 wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/6*-3)\/(29\/(-232)). Let o be t - -8 - (-1)\/(3\/(-12)). Which is bigger: -1\/23 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**4 - 24452685*o + 24452685*o + 2 - 301*o**3 to d*o + b*o**3 + q*o**2 + a*o**4 + z and give b.\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2301*a + 2318*a - 170 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -8, -27?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4576792007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**16\/(p*p\/(p**(-10)\/p))*p**(-2)*p**(3\/4))**(1\/2) assuming p is positive.\nAnswer: p**(7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*6311.\nAnswer: 63110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/12369 and 71\/1302.\nAnswer: 24738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -597.9 - -642. Let i = z + -44. Which is the nearest to 0? (a) i (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 4937519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002882 to 7 decimal places.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 695972.\nAnswer: 24359020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -29*o - 117. Let z(k) = -k**2 + k + 1. Let l(t) = -q(t) - 3*z(t). Let g be l(-9). What is the greatest common factor of g and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -252 - -250. Sort r, -3, 0, -18 in decreasing order.\nAnswer: 0, r, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1507, 3006, 4505, 6004?\n\"Answer: 1499*r + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 89883.51 millilitres in litres?\nAnswer: 89.88351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*b = 21, 13*b = -4*l + 16*b + 69. Let x(j) = -j**2 + 15*j - 5. Determine x(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 16.8. Let f = 59\/21 - 15\/7. Which is the third smallest value? (a) p (b) f (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 1, 0 = 2*q + q + 3*v - 777. Suppose -5*l - 5*g + q = 0, 260 = 5*l - 0*l + 3*g. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 42. Suppose 4*o - 75 = i, -55 = -3*o + 5*i - d. Suppose 4*x - 4*v + 2*v - 42 = 0, 4*v - o = 0. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-396)\/(-165)*(3 + 26\/(-7)). Which is the fifth biggest value? (a) f (b) -0.3 (c) 2\/3 (d) 2\/9 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4957699763 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 612428.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10 - -55) + 1 + 3. Let h(q) = -q**3 - 2*q**2 - 3*q - 1. Let u be h(-3). Suppose k = 4*x + u. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - sqrt(220)\/sqrt(4)*4) + (sqrt(660)*1)\/sqrt(12))\/(sqrt(66)\/(sqrt(726)*-1 - sqrt(726) - sqrt(726))).\nAnswer: 66*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-8))\/(-1) + (-25839)\/(-180). Let q = m - 141. Determine u so that -8\/15*u + 16\/5*u**2 - q*u**3 + 0 - 98\/15*u**4 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -463*l - 2199. What is the remainder when k(-10) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 19*p - 1 - 32*p + 2*p**2 + 3. Calculate the remainder when 28 is divided by a(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 18*p**2 + 11*p - 81. Let l be n(-17). Is 32233\/l - 22\/(-231) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**3 - 20*u**2 + 25*u + 36. Let w be i(-11). Factor -19*v**w - 50*v + 5*v**2 + 16*v**3 + 2*v**3 + 9*v**3 + v**4.\nAnswer: v*(v - 2)*(v + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03885176 to 5 decimal places.\nAnswer: -0.03885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/12)\/((-2)\/(-16)). Let x = 7 - j. Let v be (65 - x)*5\/10. Calculate the highest common divisor of v and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6 (b) 0.116 (c) -0.06 (d) 0.1 (e) 3\/4 (f) -1\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -1.25, 0.2, 4, 18, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 318*u. Let p(z) be the third derivative of z**4\/12 + 644*z**2. What is t(p(x))?\nAnswer: 636*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.24 - 0.06. Let y = v - -0.2. Let b = 285 - 280. What is the closest to y in 1\/5, -1, b?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 2. Give p(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * -20\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 2*x + 2. Let a(c) = -c**2 + c + 1. Calculate -2*a(z) + t(z).\nAnswer: z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -11. Suppose w = -3*n + 151, 177 = 4*w + 5*n - 455. Calculate the remainder when w is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6183 + 9681. Calculate the remainder when f is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(1\/9)*t**6*t\/(t**(2\/35)*t)*t**(-5)*t assuming t is positive.\nAnswer: t**(647\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 232680 and 40.\nAnswer: 232680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17500 and 69240500?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 81 divided by 81\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 79028, 79036, 79044, 79052, 79060?\n\"Answer: 8*f + 79020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 23 = 5*a, 5*a - 4*a = 3*s - 1. Let l = -105 - -149. Suppose 3*q = -4*h + l, 0 = 3*q - s*h + 3*h - 56. Solve 0 = 4*p - q + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 721098029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 6*j**2 - 30. Let d(g) be the second derivative of g**4\/6 - 3*g**2 + 6576*g. Calculate d(m(n)).\nAnswer: 72*n**4 - 720*n**2 + 1794","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16812*a + 16872*a - 50600*a + 16838*a.\nAnswer: -78*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13.7 - 11.7. Sort f, -1, 15.\nAnswer: -1, f, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1259, 2293, 3249, 4121, 4903, 5589?\n\"Answer: -c**3 - 33*c**2 + 1140*c + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 42 = 5*j. Let m be ((-730)\/(-6))\/((-5)\/(-15)). Let t = -211 + m. Calculate the greatest common factor of t and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 4*c - 2*l - 2, 4*c + 78 = -2*l. Suppose -3*d + 5*d - 4*z = -24, 54 = -4*d + 5*z. Let p = d - c. Put p, -5, 0 in descending order.\nAnswer: p, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 4:46 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 97*f**3 - 346*f**2 - 169*f - 6. Give q(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00014392 rounded to six decimal places?\nAnswer: -0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 13. Let t = -1 + 5. Let j(v) = t + v - 3*v + v - 6. Let a(w) = -3*w - 5. Calculate p*j(q) + 3*a(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 381802 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*g + 35*g + 114*g)*(10 - 3 - 2).\nAnswer: 540*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -39*x + 529. Calculate d(14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 q when four letters picked without replacement from ccggjcqqppjgrcp.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -342, -2504, -8374, -19806, -38654?\n\"Answer: -309*c**3 + c - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198 and 275.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 take away 308.060491?\nAnswer: -388.060491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 164742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 151379662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from {j: 2, w: 1}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22679445 is divided by 634?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. Let z = 3 - q. Let j = -44\/21 + 46\/21. Which is the closest to z? (a) j (b) 0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10885.3 - 11737. Let k = -852 - o. Which is the closest to -0.3? (a) -1\/2 (b) k (c) -4\/7 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/3, -1\/5, 4, -21646?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*x = -5*t + 39, 3*x - t - 15 = 0. Suppose 4*l = 5*p - 109, 2*p + 5*l - 41 = 4*l. What is the remainder when p is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -164, -163, -154, -131, -88?\n\"Answer: s**3 - 2*s**2 - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112 and 5600?\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q. Let y(t) = t**2 + t. Let w(g) = g**2 - g. Let j(m) = -2*w(m) - 2*y(m). Give h(j(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69425.9373 - 69430. Round z to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (152\/(-16))\/(-19) + 126\/(-300)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -5. Let t(i) = -2*i + 8. Let z(b) = -b + 1. Let f(v) = -t(v) + 4*z(v). What is f(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1636 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/648 and 3\/20?\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 12 = 2*p, p + 10 - 28 = 5*l. Which is the closest to -0.1? (a) l (b) 0.08 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-220))\/(5\/(40\/(-6)))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 26, -0.25, 5 in increasing order.\nAnswer: -0.25, 1\/4, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41276?\nAnswer: 2, 17, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1237 (b) 0.2 (c) -15\/7 (d) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03973 + -6.96027. Put -28\/5, -1, f, 2\/13 in decreasing order.\nAnswer: 2\/13, -1, -28\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6523746 is divided by 31?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**3 - 12*y**2 + y + 8. Let f be h(-6). Let m(d) = 35*d + 2. Is 12 a factor of m(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 207 + -219 - 57\/(-5)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -58*g**3 - 3*g**2 + 3*g + 16. What is the tens digit of l(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5354 + -91016\/17. Sort 5\/6, c, 5, 3, 0.1 in ascending order.\nAnswer: 0.1, c, 5\/6, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 11:31 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 986550622?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 719.6575 millilitres in litres?\nAnswer: 0.7196575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 3135515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 707?\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*i + 30*i - 44 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 85 * -392.\nAnswer: -33320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -v**4\/4 + 2*v**3\/3 - 5. Factor q(y).\nAnswer: -y**2*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567) - ((-4*(sqrt(567) + (sqrt(567) - (sqrt(567) - (0 + sqrt(567))))) - sqrt(567) - sqrt(567))**2 + sqrt(567)).\nAnswer: -56700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/12*-1)\/(9350\/5100)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1954 + 7603\/4. Which is smaller: a or -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 631572*6.1.\nAnswer: 3852589.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*c**3\/7 - 3495*c**2\/7 - 42264*c\/7 - 127116\/7 = 0. Calculate c.\nAnswer: -6, 1177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.022, 16292, -1\/2, -0.6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - 9. Let w = -19 - n. Calculate the common denominator of 44 and ((-2)\/(-3))\/w - (-6072)\/(-576).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/84)\/(12\/48)*3*26\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 21*a + 255. Suppose -7 = 4*q - 43. What is the smallest common multiple of q and j(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -4, -796, 23, 0 in decreasing order.\nAnswer: 23, 19, 0, -4, -796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*i - 193 + 363 + 62 = 0. Factor -1\/2*j**i + 0 + 49\/2*j - 13\/2*j**3 - 35\/2*j**2.\nAnswer: -j*(j - 1)*(j + 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13242, 13218, 13178, 13116, 13026, 12902, 12738, 12528?\n\"Answer: -w**3 - 2*w**2 - 11*w + 13256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 310?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 133650548, 133650547, 133650546, 133650545, 133650544?\n\"Answer: -l + 133650549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52809 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**3 + 173 + 259 - 4*h**3 + 332 - 230 in the form f + u*h**2 + s*h**3 + o*h and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7141, 7136, 7127, 7114?\n\"Answer: -2*u**2 + u + 7142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**2\/2 - 2112813*m\/2 + 4225618 = 0.\nAnswer: 4, 2112809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 18 = 4*b, 5*b - 39 = -3*z + 36. What is the remainder when z is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -6.99. Let c = -0.186 - 38.814. Let p = 40 + c. Put p, -0.1, a in decreasing order.\nAnswer: p, a, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 8:34 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -675*m**2 + 90*m - 3 = 0.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 9:44 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 441321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (4 + 0)) + -2 - -8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x - 10. What is z(10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4919 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12.371 * 2\nAnswer: 24.742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 866*b - 862*b + 61 = 5*t, 0 = -3*t - 5*b + 44 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 148 - 223 - (-53 + -2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -12, -41, -68, -93, -116?\n\"Answer: s**2 - 32*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -3*k. Suppose 4*c = k*c + 138. Suppose -u + c = -57. Calculate the remainder when u is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16125 equal to 16169?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -3*y**2 + 3\/2*y**4 - 1\/5*y**5 - 259 - 7\/3*y**3 + 8*y. Solve l(s) = 0 for s.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*y = 2*r + 9, r - 5*y + 9 = 0. Which is the smallest value? (a) r (b) 1\/3 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 845*a - 845*a - 4*a**2. Let d(l) = -l - 9. Let w(o) = -1. Let f(q) = 2*d(q) - 18*w(q). What is f(n(m))?\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 7*t + 3. Let i be x(-7). Let b be (-8)\/6*(-1)\/(-4). Let h = -4.252 + 0.252. Sort b, i, h in decreasing order.\nAnswer: i, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 0. Let q(i) = -i. Let a(d) = -d**3 + 2*d**2 + 1. Let g be a(2). Let p(y) = -6*y - 2. Give g*p(j) + w*q(j).\nAnswer: -j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((7 + (-377)\/52)*4\/(-18))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 6*f + 90. Suppose 0 = -3*p + 3*m - 5*m + f, -3*p - 4*m + 24 = 0. What is the second derivative of p - 2*z - 4 + z**2 wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/123 in -5\/3, -1\/12, 358?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 51*a - 52875. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + 2*y - 8*y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2069.\nAnswer: 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**2 + 7*s + 5. Determine x(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(28 - 2*t - 28)*(-t - t - t).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*7 + -6 + (8 - 0). Let a(u) = 21*u**2 + u - 11. Let n be a(x). Suppose 0 = -3*z + 5*z - t - n, -3*t + 7508 = 5*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223*b**2 + 0*b + 236*b**2 + 2*b.\nAnswer: 13*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -t**3 + 7*t + 2 + 32*t + 3*t**3 + 6*t**3 - 3*t**3 as k*t + q*t**2 + n + v*t**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27166 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 38 + -41 + (4 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 33*b**2\/2 - 26. Let v(y) = -3*y. Calculate m(v(k)).\nAnswer: -99*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 9*i - 8. Let x be o(-6). Calculate the greatest common divisor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07331 in -4, -5, -3\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2 = 1, -4*y - 485 = -3*r. Suppose -r*k + 930000 = -164*k. Round k to the nearest ten thousand.\nAnswer: -930000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109837*d**2*j**5 + 18*d**2*j + 1013*j wrt j.\nAnswer: 2196740*d**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -24*v**2 + 42*v - 34. Let q(f) = 11*f**2 - 19*f + 16. Let x(t) = -7*m(t) - 15*q(t). Let y(u) = -3*u**2 + 8*u + 1. Give 6*x(h) + 7*y(h).\nAnswer: -3*h**2 + 2*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 76*x - 4 - 1 + 13.\nAnswer: 76*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -7937 bigger than -1492409\/188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {a: 2, t: 3, i: 1, k: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**3 - 6*r**2 - r + 2. Let p(s) = s**3 + 6*s**2 - 5*s + 10. Suppose -2*n + 5*g = 24, 4*n - 7*g = -3*g - 36. Let q be p(n). Does 21 divide k(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2569560 and 229026.\nAnswer: 5586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.970518 millilitres in litres?\nAnswer: 0.000970518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -10*f**3 - 7*f**2 - 4*f - 4. Let r(k) = -51*k**3 - 36*k**2 - 21*k - 21. Let b = 12682 - 12686. Give b*r(s) + 21*t(s).\nAnswer: -6*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1358b (base 12) to base 11\nAnswer: 19106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*s**3 + 65*s**3 + 43*s**3 - 130*s**3.\nAnswer: 34*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 j, and 2 a when four letters picked without replacement from jvavvavavrjjjv.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - p. Let h be a(1). Let j be 2 - ((-16)\/(-4) - 4). Let d(k) = 1 - 2 - k - 2*k**2 + j*k. Calculate d(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 - 0 - (4852 - 4984)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3.6, 35, 1, -1\/2, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4965579?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**2 - 16*i - 13. What is the tens digit of m(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 221559?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*4\/30)\/(18\/(45360\/(-32732)) + 13).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 118 = y - 293, 228 = r + 5*y. Calculate the greatest common divisor of r and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0.4. Let s = d - 0. Let j = -0.3 - s. Put 1\/6, j, 5 in increasing order.\nAnswer: j, 1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 272? (a) 2\/37 (b) 4 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 + 33222*r**2 - 265968*r.\nAnswer: 3*r*(r - 8)*(r + 11082)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.42 + 0.4. Let t = -48 + 102. Let n = t + -53.5. Put y, n, -3\/5 in decreasing order.\nAnswer: n, y, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 1012274.\nAnswer: -1\/506137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*f**3 + 362*f**2 - 10345*f.\nAnswer: -216*f + 724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 110813.1405 to 0 decimal places.\nAnswer: 110813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**2 + 1355*z = 0.\nAnswer: -271, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52885340 by 20.\nAnswer: -2644267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourteeen ninths of a hour?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-4 + (sqrt(272) - (sqrt(272) + 2*sqrt(272))) - (2*sqrt(17)*3 - (sqrt(34)\/sqrt(2) + 3))))*-2.\nAnswer: -4 + 26*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1998220\/3*y**2 + 58802\/3*y**3 + 2\/3*y**5 + 3822392\/3*y - 1882384\/3 - 592\/3*y**4 = 0. What is y?\nAnswer: 1, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-9) - -1)\/(6\/63). Let x(r) = -6 + 3 + 3 - 14 - 60*r - n. Let d(c) = 12*c + 4. Give 21*d(k) + 4*x(k).\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -103*g**3 + 2*g**2 + 3*g - 4. Give v(1).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 16*r**2 + 16. Let h be k(-16). Solve -2*u - 4*x = 6 - h, -16 = -4*x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 10, e: 2}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -27460, 11\/31 in decreasing order.\nAnswer: 11\/31, -2, -27460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -11*q**2 - 11. Let w = 4 - 10. Let v(g) = -2*g**2 - 2. Let n be ((-867)\/(-204))\/(2\/16). What is n*v(p) + w*a(p)?\nAnswer: -2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1595859 and 6141.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 9 - 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14 + 26)*37\/(-3). Let n = -148 - f. Solve n*h - 3*h - 9 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 + 102 = 5*m + 68 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, b: 3, y: 3}. Give prob of sequence bly.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2900 and 2200880?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -12789 divided by -441?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 69. Let h = 54.9999957 + v. Round h to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 - 5*x**2 + 6*x - 26. Let y(m) = -m**3 - 4*m**2 + 5*m - 27. Suppose -6*z = -0 - 30. Let b(s) = z*n(s) - 6*y(s). Differentiate b(i) wrt i.\nAnswer: -12*i**2 - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350638.4nm in millimeters?\nAnswer: 0.3506384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*r)*(0*r + 2*r - 3*r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 13960, 13703, 13432, 13141, 12824, 12475, 12088?\n\"Answer: -c**3 - c**2 - 247*c + 14209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3\/2, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1609\/9 + -179. Let v = -1.5 - 0.5. What is the closest to 2 in z, v, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.85 - -3.65. Sort 0.4, 2, u, 2\/7 in descending order.\nAnswer: 2, u, 0.4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -4*h + 2 - 1, -3*h - 2 = -5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/8 - 381*l\/4 - 48387\/8.\nAnswer: -3*(l + 127)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbj when three letters picked without replacement from {g: 1, p: 1, l: 1, s: 1, b: 1, j: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6 + 1 = 0. Let j(w) = -w**3 + 7*w**2 + 7*w + 15. Let a be ((-1)\/3)\/(2\/(-48)). Let k be j(a). Solve -o*f - 18 - k = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 288050*k - 6913213. Determine g(24).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x**2 - 41*x. Let b(l) = 561*l. Calculate b(p(i)).\nAnswer: -3366*i**2 - 23001*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from {v: 2, b: 1, r: 1, a: 1, f: 1, u: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 690 + -678. Suppose 104 + 148 = -k*f. Which is greater: 6\/7 or f?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -7*r**3 + r**2 - 4*r - 2. Determine v(-2).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.9705 hours in weeks?\nAnswer: 0.5950625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**2\/11 + 108*a\/11 = 0. Calculate a.\nAnswer: 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4669, 9153, 13541, 17833, 22029?\n\"Answer: -48*o**2 + 4628*o + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2282)\/326*2\/(-77)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 + 2*m**2 + 4*m**2 + ((-2*m + 0*m + 0*m)*(5 - 4 - 3) - 2*m + 1 - 1)*(2*m + 0*m + m) to the form v + a*m + k*m**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5012?\nAnswer: 2, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9540 and 6?\nAnswer: 9540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-9))\/(20\/90). Suppose -7*z + 22 = -s*z. Solve z = -3*v + 37 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3757488?\nAnswer: 2, 3, 7, 53, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**5\/20 + x**4\/6 + 2*x**2 - 124*x. Let i(f) = -10*f**2 + 13*f - 1. What is -2*i(c) + 7*w(c)?\nAnswer: -c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8671891\/157525230 - 24\/90845. Find the common denominator of 67\/2652 and x.\nAnswer: 45084","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12490 at least as big as -12490?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*j - 202 = 0, -v + 4*v - 686 = -5*j. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 3*f + 27, -4*p = -0*f + f - 61. Suppose 5*b - 20 = -5*y, 2*b + 3*b = y + p. Let s = -15\/8 + 37\/24. What is the biggest value in s, b, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194595.\nAnswer: 3, 5, 12973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (46\/(-5))\/((10\/125)\/((-2)\/(-10)))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 504 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -772*k - 17*k**3 + 2*k**2 + 772*k.\nAnswer: -17*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10536 and 764.\nAnswer: 2012376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 10\/23, -0.1 in increasing order.\nAnswer: -0.1, 10\/23, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 10*m**2. Let n be j(-10). Let o be 1\/(n + 1) + 1. Suppose -r - 2*t + 8 = t, o*r + 4*t = 8. Put -5, r, 5 in decreasing order.\nAnswer: 5, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (11 - (11 - -1) - 30 - -4).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-24)*(-4)\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*t + 50*t + 18 = -4*x, -8*t = -48. Factor -2\/3*m**2 + x + 0*m - 2\/3*m**3.\nAnswer: -2*m**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, r: 1, x: 2, f: 7, h: 6}. What is prob of sequence hx?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00140571986 to 6 dps.\nAnswer: 0.001406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-2\/11)*h)\/h**(3\/5))\/(h**2)**(-5\/11))\/((h**2)**(-19))**(-17) assuming h is positive.\nAnswer: h**(-35413\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14955161, 59820636, 134596429, 239282540, 373878969, 538385716?\n\"Answer: 14955159*p**2 - 2*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 114 + -166. Let d = o - -22. Let m be 2\/(-6)*d\/5. Solve 3 + 7 = m*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmddmmmmmm. What is prob of picking 2 m?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -2*o**2 + 2. Is 14 a factor of d(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 8*g - 6. Let t be h(-9). Solve 7*p - t*p = -5*n - 11, -n - 11 = 3*p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 5*t + 460, -4*t = t - 10. Find the common denominator of 72\/(-14) + (1 - 1) and (-5)\/(u\/(-159)) - -1.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**8\/168 - 2*b**7\/45 - 13*b**6\/540 + 8*b**5\/45 + b**4\/9 - 16*b**3\/27 + 675*b**2. What is v in o(v) = 0?\nAnswer: -4, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -8. Suppose 0 = i*a - 4. Let s be (38 - a)*(-4)\/(-3). Round s to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1138 + -793. Find the common denominator of -107\/30 and (16 + 0)\/(-4) + u\/54.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0. Let y(n) be the third derivative of 5*n**4\/8 + 11*n**3\/6 + 30*n**2 + n. Let h(z) = -29*z - 24. Let k(s) = 6*h(s) + 13*y(s). What is k(p)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 651797464 to the power of 1\/6, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*c = 568063 - 569583 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8750368 divided by -4\nAnswer: 2187592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-7) - 4*-2. Let f = -33 + 36. Solve -1 = f*u - r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0911011 and 307614.\nAnswer: 307614.0911011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184054 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.3399 in 1786, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/4 - 11*o**2\/4 + 9*o - 9.\nAnswer: (o - 6)*(o - 3)*(o - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 667, 5645, 19233, 45733, 89447?\nAnswer: 154677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2340490.\nAnswer: 2, 5, 43, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 116 = -s + 4*g, s = 2*g - 28. Let o = s - -23. Suppose 8 = 5*i + 2*a, 2*a + 9 = 4*i + a. Solve -o - i = y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + 1*sqrt(243) + sqrt(243))\/sqrt(9).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3*625\nAnswer: 1875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2230080 divided by -320\nAnswer: 6969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 5*z - 4*z)*(z - 4*z + 5*z) + z + 2*z**2 - z + 6783994 + 21*z**2 + 38*z + 291*z**2 - 6783992.\nAnswer: 318*z**2 + 38*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c - 5. Let n(a) = 0 + 0 - 2 + 1. Let y be (-2 - 0)\/(-2)*-1. Let i(q) = y*s(q) + 4*n(q). Find the first derivative of i(k) wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/3 or -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4294020 and 2124?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -136, -2, -5, 3 in descending order.\nAnswer: 3, -2, -5, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 5:37 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 883284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**3\/6 - 2*w**2 - 2*w. Let x be z(4). Let b(m) = m + 12. Does 6 divide b(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*j - 5*j. Suppose -2*d + 3*q = 3, 0 = -j*q + 8 + 7. Suppose -5 = -21*h + 20*h. Solve -b + 1 = 2*c + d, b - 19 = h*c for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -522\/7, 5 in decreasing order.\nAnswer: 10, 5, -522\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140 by -4.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -4 + 32 + (12 - (-49 + 23 + 46))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c15 - 11431?\nAnswer: -14246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 936 and 1053?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-6)\/(-4)*2. Let q(k) = 3*k**2 + k**3 + 3*k**2 - k + 1 - 5*k**2. Let d(h) = 7*h**3 - 2*h + 8. Let i(u) = -d(u) + 6*q(u). Calculate i(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4925014, -4925015, -4925018, -4925023, -4925030, -4925039, -4925050?\nAnswer: -4925063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 9:10 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -3 + 1 + -26 + -8 - -6.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 1. Let m(k) = 2*k**2 + 16*k - 6. Let z be m(-8). Let h(t) = 4*t + 18. Give z*v(f) + h(f).\nAnswer: -2*f + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39505, 79023, 118541, 158059?\nAnswer: 197577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/3)\/1)\/(3\/(-9))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 n when three letters picked without replacement from ebbbnmnbbbeeeebbee?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 217630, -1\/7, 3, 3\/2 in descending order.\nAnswer: 217630, 3, 3\/2, 0.5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, t: 1, v: 3, z: 1, g: 4, k: 2}. What is prob of sequence kkv?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -6, 0.02, 3, -9\/4, -61, 1\/14?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -210, -1316, -4184, -9696, -18734, -32180?\nAnswer: -50916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 109 - 113 - (-14 + (3 - 2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -228*f + 1288*f = -53000 for f.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74.8 - 40.14. Let h = y - 34.9. Which is the nearest to 1? (a) -1\/3 (b) -2\/9 (c) -2 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10582127?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/16 of a centimeter?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k - 5*k + 2*k)*(-8*k - 11009 + k**3 - 14*k**2 + 4*k + 11011) to h + g*k + s*k**4 + l*k**2 + q*k**3 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -31*r + 1116. Determine c(36).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -134 - 3?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 4 (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -48, -105, -184, -285?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14141 + -977. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5 = 2*n, 1 = -2*n - 4*z + 9. Let u = -3863\/35 + -808\/7. Let c = u + 225. Are n and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -234 + 77 + 78 + 87.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 97647, 390680, 879097, 1562898, 2442083?\n\"Answer: 97692*x**2 - 43*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2229 is divided by 79.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2803358, 2803361, 2803364?\n\"Answer: 3*k + 2803355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24103711\/66 + -1093102\/3. Let q = 839 - b. Calculate the common denominator of -5\/2 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25477 - -50255?\nAnswer: 50255.25477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 10*m**2 - 24*m + 5. Let j be 6*(-8 - (-138)\/23). Give h(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*z - 51. Let c be 13\/(1\/z - 0). Let h = c + -157. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -126 - 0.01\nAnswer: -126.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4044.\nAnswer: 2, 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6287 + 9488. Does 33 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 7 = -5. Suppose -4*i = 4*o, -4*i + p*o + 16 = i. Suppose k - i*n + 5*n = 112, 5*n + 88 = k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**2 - 185*f + 40. Calculate c(46).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -175 - -179.04. Let k = 0.04 - y. Let i = k - -6. Is i greater than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*x - 3)*(2 - 5 + 1 + (-3 + 2 - 1)*(0 + 3 - 1) + 2 - 1 + 2) + 2*x - x + 3*x.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 133617568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 342428299 and 1.\nAnswer: 342428299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 215172?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/6)\/((-10)\/(-270)). Let b(o) = -13*o + o**3 - 15*o**2 - 6 - 8 - l + 3. What are the prime factors of b(16)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 38 = -27. Suppose k + 7 = 6*u - 11*u, 0 = -q*u - 10. What is the remainder when 19 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -27712 + 2?\nAnswer: -27710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 0 - (5 + 2 + -3)) + 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -16*j + 11. Let x(t) = 5*t - 4. Let n(p) = 3*h(p) + 8*x(p). Let o be n(2). Let i be -8 + o\/(-3) + -2. Sort 2, i, 1 in decreasing order.\nAnswer: 2, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000105913725 to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*b = -4*x - 6, -4*b - x - 5 = 0. Calculate the remainder when 15*(-8)\/12*b is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -1. Let k**2 + 8*k - 5*k - y*k**2 = 0. Calculate k.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/411 (b) -10 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v + 4*v + 149 - 152.\nAnswer: -2*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -243088\/5355 + -26\/765. Suppose i = -5*j + 61, 6*j + 34 = i + 2*j. Let k = o + i. What is the second smallest value in k, 1, -0.5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02555635 to 6 dps.\nAnswer: 0.025556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b + 0*b**3 + 4 + 0*b**2 + 0*b**4 + 4\/5*b**5. What is the derivative of n(c) wrt c?\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 600*r - 603*r - 15 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-2))\/((-18)\/(-2)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 143?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -104 + 172. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95 + 134. Let h = 76 - d. Suppose 3*i - 5 = 34. What is the remainder when h is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/19 (b) 1\/7 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 158 divided by 135\nAnswer: 158\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**5\/20 - 7*n**4\/6 + 12*n**3 - 4*n - 143. Factor q(z).\nAnswer: -z*(z - 4)*(z + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b**2 + 4*b**2 - 108436 + 216882 - 108446.\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1511141 (base 6) to base 16.\nAnswer: 15445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00378663 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/20 or 24?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 141565 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 18*h**2 + 33*h - 12. Suppose 6*d - 82 - 14 = 0. Let z be n(d). Calculate the common denominator of 46\/(-12) + z - (-105)\/9 and 31\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 160 - 159. Solve -q - 4*r = -3 + b, -q + 2 = r for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 465561 by -4.\nAnswer: -465561\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3895, -15565, -35007, -62221?\n\"Answer: -3886*w**2 - 12*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59345499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.4 (b) 3\/7 (c) -3\/10 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10298844 divided by 129.\nAnswer: 79836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -37, -73, -119, -181, -265, -377, -523, -709?\n\"Answer: -c**3 + c**2 - 32*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11170317 is divided by 4151.\nAnswer: 4127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aawwhwaawwwawwwah. What is prob of sequence wa?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1 + sqrt(147) + 5)*-4 + 0 + -4)**2.\nAnswer: -18816 - 9408*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -607 and 0.0476.\nAnswer: -28.8932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104, 361, 776, 1355, 2104?\nAnswer: 3029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3355476 by 559246.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(4)\/sqrt(2) + 0).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 3*d**2 + 3*d - 4. Let m be b(3). Let y be (-1 - 10\/(-4))*(-16)\/(-12). Suppose -2*j = -j - y, 2*o - 2*j + 8 = 0. Sort o, 0, m.\nAnswer: o, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*y**2 - 3*y**2 + y**2)*(2*y**2 + y**2 - 4*y**2) + y**2 - 3*y**4 - y**2)*(1 + 1 + 0).\nAnswer: -10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 18 - 338\/3*l**2 - 208\/9*l**3 - 16\/9*l**4 + l. Factor f(d).\nAnswer: -4*(4*d + 13)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-0.723.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/4 - (-3276)\/(-56). Let m = t - -56. List the prime factors of 555\/(-5)*m\/(-2)*-2.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 36*h - 2. Is f(2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2127236?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 231504 (base 6) to base 16\nAnswer: 4d80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 618 - 616. Let r(x) be the second derivative of -1\/66*x**4 + 1\/33*x**3 - 10*x + 0 - 1\/110*x**5 + 1\/11*x**w. Solve r(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.09 (b) 21 (c) -102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8407 is divided by 468.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 + 16. Let c be b\/(-9) - 1 - 1. Let w be (-3 + 4)\/(2\/(-4)). What is the second biggest value in c, w, 3\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 7*k**2 + 18*k - 22. Let d be i(4). Solve -w - 2*u + 7 - 1 = 0, -d*u = 2*w - 10 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 546 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x - 5. Give y(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5*v**2 + 12*v + 7. Let g be r(11). Suppose 20*x - g = 17*x. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -440*y**4 - 6*y**3 - 6*y**2 + 4. Let i(n) = 3*n**3 + 2*n**2 - 2. Let x(p) = -4*i(p) - 2*l(p). What is the third derivative of x(w) wrt w?\nAnswer: 21120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.050685522 rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11637\/63 - 4\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*s + 42, -3*s + 32 = -3*d - d. Suppose -77 = s*x + 67. Let u = x + 23. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2772 a factor of 334042632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1338092 less than 8?\nAnswer: 1338100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**5\/40 - f**4\/24 - 2*f**3\/3 + 2. Let n(v) be the third derivative of z(v). What is the first derivative of n(r) wrt r?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-3)*(8 + -2). Let i(n) = n**2 + 4*n - 1. Give i(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15912 and 1557880?\nAnswer: 182271960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**5 + 356*z**4 - 4576*z**3 - 136640*z**2 + 743424*z + 14303232 = 0. Calculate z.\nAnswer: -97, -12, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (116961\/12)\/((-32)\/(-128)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6273, -6578, -6901, -7248, -7625, -8038?\n\"Answer: -c**3 - 3*c**2 - 289*c - 5980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -691, -687, -683, -679, -675, -671?\n\"Answer: 4*j - 695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 4 + 6 - 49*r - 2 + 51*r in the form u + l*r and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2041983 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 7:49 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**4 + 0*l**4 - l**4 + (-12*l**3 + 22*l**3 - 24*l**3)*(2*l + 0*l + 0*l).\nAnswer: -26*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 9:27 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 545745, 545689, 545635, 545583, 545533?\n\"Answer: l**2 - 59*l + 545803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/9*3*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2)*(15 + (-37 - -24)). Put k, -2, -263, -4 in ascending order.\nAnswer: -263, -4, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(1\/7))**(3\/2)\/(d**(-5\/8)*d**(-2)*d*d) assuming d is positive.\nAnswer: d**(107\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (55 - -4 - 4). Let c = 1345 - q. What is the remainder when c\/32 + (-3)\/8 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7*r**3 + 4*r**2 - 4*r - 1. Let g = -882 + 886. Let z(f) = -f**3 - f**2 + f. What is g*z(n) + j(n)?\nAnswer: 3*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 676897524 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-7)*7\/((-168)\/4).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 173706 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16206454641 + 5?\nAnswer: 16206454646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4435*l*q**2 + 2*l*q - 22*l + 6*q wrt q.\nAnswer: 8870*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 576, 5625, 19616, 47019, 92304, 159941?\n\"Answer: 745*h**3 + h**2 - 169*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.27362549 to three dps.\nAnswer: 0.274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3\/7 - 37378057*m**2\/7 - 9344514*m\/7.\nAnswer: -m*(m + 9344514)*(4*m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (357\/(-35))\/(-17) - (-56)\/(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 2*i**2 + 5)*(0*i**2 + 0*i**2 - i**2) as r + h*i**3 + b*i**2 + o*i + j*i**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**(-6)\/(x**0\/x*x*x)**(-50)*((x**(-3)\/x)\/x**4)**35 assuming x is positive.\nAnswer: x**(-236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40.3 and -51349.\nAnswer: -2069364.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 58*d + 355. Let l be f(-6). Which is greater: l or -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 10:48 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2\/7 + 18291576*w\/7 - 27881812713648\/7 = 0 for w.\nAnswer: 3048596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34 and 6766?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s**3 - 3*s**3 - 3*s**3)*(10 + 14 - 2 - 9 - 8 + 9 - 1 - 5 + 4 + (-4 + 5 + 0)*(0 - 3 + 2)).\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 34 + 66. Let v = 13001 - 12963. What is the remainder when v is divided by a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, z: 2, h: 1, b: 4, d: 1}. Give prob of picking 1 d and 1 b.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4190533158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jhhjhjjhhhjh.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 11. Let b = 31\/17 + -8635\/4726. Let g = b + 609\/14734. Which is bigger: g or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.28*0.1518.\nAnswer: 0.042504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2520*l + 487. What is the hundreds digit of p(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51091191239 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -381, -375, -369?\n\"Answer: 6*u - 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3157, -3158, -3159, -3160?\n\"Answer: -n - 3156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 - 439062?\nAnswer: -439047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1778 divided by 2?\nAnswer: -889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from lvllvkvll?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*o - 20089 + 6873 = 0. Let k = o + 948. Solve -4 = -k*s + 5*b + 13, b + 16 = 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4162 and 54474337?\nAnswer: 2081","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -240, -243, -246, -249?\n\"Answer: -3*p - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -57484044 divided by -1?\nAnswer: 57484044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2072541*z**3 - 1077500.\nAnswer: -6217623*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 99 and 2277?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 6, -960, -16, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*n + 237*n - 28 = 0 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + 3*(-1*sqrt(800))**2).\nAnswer: 4794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 291 and 480.\nAnswer: 46560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 2119, -5 in decreasing order.\nAnswer: 2119, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 482*f**5 - 467*f**5 - 6*f + 13*f wrt f.\nAnswer: 300*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 89 + 6*u**3 + 318*u**2 - 66560*u + 66559*u - 2*u**3 wrt u?\nAnswer: 24*u + 636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 540? (a) 2\/9 (b) 0 (c) -15478\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21 + -1)*(927\/(-54) - -17). What is the biggest value in w, -2\/5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n*n\/(n*n\/(n\/(n**33\/n*n)*n))))\/n**(-2))\/((n**(-13)\/n*n)\/(n*n*n*n**(16\/3)\/n*n)))**(1\/4) assuming n is positive.\nAnswer: n**(83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 54*n + 78*n + 19*n**2 + 24*n.\nAnswer: 19*n**2 + 156*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 470 or 4234\/9?\nAnswer: 470","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4*p**5 - 216828*p**4 + 2928516428*p**3 + 267853220092*p**2 + 5967763733568*p - 6238545253264 = 0.\nAnswer: -46, 1, 27149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -210013012003 + -1?\nAnswer: -210013012010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 32*c - 228. Let s be o(6). Let j(i) be the second derivative of 1\/3*i**4 + 0*i**3 - 1\/10*i**5 - 1\/15*i**6 - 8*i + 0 + s*i**2. Factor j(x).\nAnswer: -2*x**2*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k + 28. Give t(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/((r**(-6)\/r)\/r))\/r)\/(r\/(r\/(r*(r\/(r\/(r**1\/r))*r)\/r)))*r**3*r**0 assuming r is positive.\nAnswer: r**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*g - g - 143, 0 = -2*z - 2. Let n = g + 35. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + sqrt(19) + -1 + -5)**2 + (sqrt(19) + -4*(sqrt(19) - (-1 + sqrt(19) + sqrt(19))))**2.\nAnswer: -64*sqrt(19) + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5880\/2156*(0 + (-4)\/10).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79 and 83977.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4381 = 10*p + 3*p. Let c = p + 563. Does 36 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8\/35 (b) -853 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/(-450)*512\/(-896)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17966 (base 15) to base 5\nAnswer: 4420441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9298.607l to millilitres.\nAnswer: 9298607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(19)*1 + (1 + sqrt(1900))**2.\nAnswer: 21*sqrt(19) + 1904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4139638 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 369849 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 6*o + 1. Let z be i(5). Let r(q) = 9*q - 2. Let l be r(z). What is the tens digit of 4 - (-1)\/((-1)\/l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a week in minutes?\nAnswer: 1344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b. Let y(x) = -x**3 + 48*x**2 - 52*x + 11. Let j be y(43). Let n(w) = 39*w**2 + j*w - 7020*w + 154*w**2. Calculate n(l(z)).\nAnswer: 772*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -195156 divided by 2153.\nAnswer: -195156\/2153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 52\/152701 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55 + -44. Calculate the remainder when l is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 13*r + 6*r)*(-134*r**4 - 26657 + 26657).\nAnswer: -2680*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 6*h**2 - 8*h + 6. What is y(7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1680 and -25222\/15 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 49*z - 425. What is j(-38)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1127.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3948 divided by 4.\nAnswer: -987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -5 - (-11 - 2). Let z be 4\/30 + 2527\/285. Suppose z*v = s*v - 196. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3974 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 3*h**2 + 4*h - 3. Suppose -248 = -9*y + 679. Suppose 3*u + 101 = 2*u. Let w = y + u. Calculate r(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 183 - 139. What is the highest common divisor of 44 and i?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 23\/4, 4, 6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2435 = 286*c + 7762 + 12969 for c.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/8, -26, 24, -16, 2\/7, 5\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80540303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 103007?\nAnswer: -103013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -14. Let l = -34 - -26. Let w = v + l. Which is the third biggest value? (a) w (b) -3 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, c: 5, l: 2}. Give prob of picking 1 z and 2 l.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**3 - 6922*a**2 - 482829*a + 3145950 = 0.\nAnswer: -75, 6, 6991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -172 + 62. Let q = -108 - n. Which is smaller: 15\/7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -42*r + 58 - 433 - 265 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 466497190986\nAnswer: -466497190985.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 15 = -3*c. Let k be c + -3 + 1 + 3. Suppose -11 + 205 = 3*a + k*r, -3*r = -a + 82. List the prime factors of a.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*x + 2*b = 6, 5*x = 5*b + 35. Sort -1, x, 202 in descending order.\nAnswer: 202, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 655303024*z**3 - 725709813*z**2 wrt z?\nAnswer: 3931818144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -54*j + 14151. Give n(235).\nAnswer: 1461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12410483 - 2?\nAnswer: 12410481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**3 - 7*s**2 - 6*s + 6. Let n be o(4). List the prime factors of (-9171)\/(-15) + n\/5.\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 523610783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 2*f - 1. What is the least common multiple of y(-5) and 26?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*o + 294*o - 9*o - 256*o - 14*o + o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s = 16*s - 10. Let o(m) be the third derivative of -1\/240*m**6 + 1\/120*m**s + 0*m**4 + 0*m + 0 - 2*m**2 + 0*m**3. Factor o(a).\nAnswer: -a**2*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 2:47 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**3 - 2*v**2 - 10*v - 13. Let i(o) = 2*o - 62. Let q be i(29). Let f be w(q). Calculate the greatest common divisor of f and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3349.608ug to nanograms.\nAnswer: 3349608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2096733 and 8109.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*p - 10. Let t be 18\/(-42)*p\/(-6). Let a be (-4)\/(-2) + -3*1. Is t at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1750773757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llqgygtllygwyy. What is prob of picking 1 l, 1 w, and 1 y?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05314 + -0.0478. What is n rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331*n = 2590*n - 17526 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 4*z - 2500 = 27*z - 2342, -5*z - 41 = -2*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/138 and 47\/1332.\nAnswer: 30636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 1 = -4*v, -4*f - 6698 + 6694 = -3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 456102 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 55 - ((-6 - (-20 + 30)) + (-4 - -14))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**3 - q**2 + 1. Suppose -m + 0 = c - 3, c = 2*m. Let f be x(m). Suppose 2*k - 32 = 2*u - 0*u, 3*k = -f*u + 66. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24522 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - b + 5 = 0, 19*y + 7 = 15*y + 5*b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 115334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 11\/4, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001241532611 to 5 decimal places.\nAnswer: 0.00124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - r. Let k be (32\/4)\/(-2*3\/6). Let x(q) = -q**3 - 9*q**2 - 11*q - 18. Let w be x(k). Let d(p) = 14*p**2 + 13*p. Give w*d(a) + 78*v(a).\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -49, -81, -129, -199?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(112))*3)**2*-4*6 + (-1*sqrt(63) + sqrt(63))**2 + sqrt(7) + sqrt(343)*2 + -4 + -5.\nAnswer: -24201 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.0828, -5.\nAnswer: -5, -0.1, 0.0828","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o - 9. Let b(k) = -9*k + 19. Let m(p) = -5*p + 7. Let u(t) = -3*t + 8. Let j(y) = -2*m(y) + 3*u(y). Let i be j(3). What is i*f(l) + 6*b(l)?\nAnswer: -2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, q: 1, s: 3, b: 1}. What is prob of picking 2 s and 1 f?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 - 6*p**3 + 10*p**3)*(p + 2*p + 0*p).\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2472 and 702872?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fz when two letters picked without replacement from {a: 1, z: 1, f: 2, n: 1, t: 1, w: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-70)\/15 - -4) + (-28)\/(-6). Suppose 36 = j*b - b. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 648217, 1296511, 1944807, 2593105, 3241405?\nAnswer: 3889707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 2*s - 13 = 0, s = -4*r - 0*s - 14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of 1\/2*a**3 + 0*a**2 + 0 - 6*a. Let y(l) = -2*l**2 + 2 - 2. Determine y(d(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 916603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwpg when four letters picked without replacement from plylpwpppywglpw.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 528.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-5))\/((-1)\/(-130)). Calculate the greatest common factor of c and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 17.8. Which is bigger: 2\/5 or y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from agwgwuwgug. What is prob of picking 2 u and 1 g?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 648315004 to the nearest integer?\nAnswer: 25462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x - 7. Let i be f(3). Suppose i*t - w = 0, -3*w = -t - 4*t + 2. Is 63 + t + (-12)\/(-3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.72 + 0.28. Let g = -0.1 - -0.4. What is the closest to 2 in -4, q, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.435 rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14858 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 1\/60*b**5 - 7\/6*b**3 + 34*b**2 + 0*b + 11\/24*b**4 + 0. Determine d(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 394*w + 38 = -390*w, 4*w = -3*a + 34. Solve 5*t + q + 478 - 467 = 0, 10 = -4*t - a*q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -74 - -33 - (169 - 222).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/21)\/(n*n*n**(-1)))**(1\/25))**(-4\/25) assuming n is positive.\nAnswer: n**(92\/13125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 735 and 487641875?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*v - 27. Suppose -j + 5*i - 50 = -3*j, v*j = -4*i + 125. Calculate the highest common factor of 75 and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-525)\/315*(-36)\/(-33)\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/4*(-2)\/(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 923 - 919.904. Let o = r + 0.004. Let x = o + -0.1. Which is smaller: 2\/5 or x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**3 - 6*t**3 - 5*t**3 + 2*t**3 - 3*t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10*((-1269)\/423)\/(15\/(-4))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 103, 489, 1133, 2035, 3195, 4613, 6289?\n\"Answer: 129*h**2 - h - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -4*o**3 - 18*o**2 - 36*o - 1. Is b(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 178603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*c - 107*c = -u - 4*u - 42, 3*c + 3 = u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 424 - -1406?\nAnswer: 1831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (21\/(-12))\/((12\/(-6))\/(-24)). What is the common denominator of -48\/31 and 1661\/385 + (-6)\/m?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-4)\/8) + -33 + 2. Let y = -26 - v. What is the least common multiple of y and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.8? (a) -5 (b) 2 (c) 0.1 (d) 4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -3 - 7) + 6. Suppose 2*y - 27 = -m, -3*y - 17 = -5*y - h*m. Solve -y = -t - 5*s, -t - 4*s + 10 = -3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**3 - 5*y**2 - 5*y - 5. Suppose 2*l - 1 = -3. Let f be 22\/8 - l\/4. Let u(c) = 3 - 3*c**2 + 2*c**3 - f + 9*c - 3 - 12*c. Give 5*u(o) - 3*z(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*w**3 + 14954*w**2 - 26073*w - 2 wrt w?\nAnswer: 18*w + 29908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -43?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 - 5) + 4 + 54.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/132*(-297)\/110)\/(-15).\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*n - 33*n - 33. Put n, -0.4, 0.1, 0.2 in decreasing order.\nAnswer: 0.2, 0.1, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -9. Let d = -23 - -31. Suppose -16 = -5*q + 4. Solve n*m = q + d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-398 - 33452*n + 16656*n + 16751*n)*(-3*n**3 - n**3 + 6*n**3) to r*n**4 + u*n + g*n**2 + m*n**3 + k and give m.\nAnswer: -796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b02dc - 6?\nAnswer: b02d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 37, 10, -109, -380, -863, -1618, -2705, -4184?\n\"Answer: -10*b**3 + 14*b**2 + b + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93288.76 milligrams to kilograms.\nAnswer: 0.09328876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11011100001000111011110 (base 2) to base 11\nAnswer: -40876a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**3\/3 - 5*k**2\/2 - 17*k. Let h = -7 + 11. What is the remainder when j(-8) is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -w, 16*w - 18*w + 5*x = 0. Suppose 3*l + 4*d - 31 = w, -2*l - 6*d + 9*d - 2 = 0. Factor -25\/2*p**4 + 0 - 1\/2*p**2 + l*p**3 + 0*p.\nAnswer: -p**2*(5*p - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 - -58. Sort 5, -5, x, 1 in ascending order.\nAnswer: -5, x, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3 - (-800)\/(-135)) + 3 and -37\/102.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(((-14)\/(-3))\/((-4)\/6)). Let b(k) be the second derivative of -l*k**3 + 0 + 1\/14*k**4 + 1\/7*k**2 + 9*k - 1\/70*k**5. Factor b(q).\nAnswer: -2*(q - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70718 to the nearest one thousand.\nAnswer: 71000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -55 + 57. Solve t + 2 = -4*a, -q*a = -2*t - a - 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 234465\/101430 + 21*8\/(-72)?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4659 - 4607 + 9266 - 14*f**3.\nAnswer: -14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 55*t + 187. Let q(f) = -42*f - 125. Give -5*o(y) - 7*q(y).\nAnswer: 19*y - 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 10:48 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/32*4*172*((-144)\/16)\/18.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 483770782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(2\/5))**24)**(20\/3)*(((o*o\/(o**7\/o))\/o*o)\/(o\/o**(-4\/7)))**(2\/75) assuming o is positive.\nAnswer: o**(39174\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -161 - -163. Let k be -5 - (-2 + 0)\/i. Sort 2, k, -35 in decreasing order.\nAnswer: 2, k, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3 = 5*v. Let d = -1098 - -1102. Let q = 18\/145 - -8\/29. What is the closest to q in -5, d, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3705 and 13065.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2339, -8874, -15407, -21938, -28467?\nAnswer: -34994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 s when four letters picked without replacement from sssshhh.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14845 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 12*k**3 + 28084*k**2 + 16109460*k + 5366700 = 0?\nAnswer: -1335, -1005, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -177, -2073, -3 in increasing order.\nAnswer: -2073, -177, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -607*x - x**2 + 621 + 621 - 1242 - 605*x in the form j + w*x + a*x**2 and give w.\nAnswer: -1212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)*6)\/sqrt(2)*-2 - sqrt(16)\/(4*sqrt(8)*-5).\nAnswer: -239*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -667 and -0.3.\nAnswer: 200.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 = 2*x + x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 9*d - 34. What is the least common multiple of 1 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1875242.\nAnswer: 2, 499, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -72, -191, -398, -717, -1172, -1787, -2586?\nAnswer: -3593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6}. What is prob of sequence www?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 14 = -d, 2*c + 11 = 2*d - 25. List the prime factors of (135\/12)\/(6\/d).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 132 and 5456?\nAnswer: 16368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105568 and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 5 (b) 220 (c) -1\/24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -838781424 by 1792268.\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 79825 and 481525?\nAnswer: 2575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9842\/(-148)*4\/(-7). Let n = -12 - 50. Let b = u - n. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506126159.\nAnswer: 7, 11, 17, 386651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -59.978 + -0.022. Let b = x - -62.7. Let w = b - 3. Is w > -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2284 by -3221.\nAnswer: 2284\/3221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*c**3 + 42*c**3 - 22*c**3 + 4 + c**4 to the form j*c**3 + r*c + v*c**4 + b*c**2 + a and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1090.3 and -2.\nAnswer: -2180.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 9*w**2 - 547*w + 5617. Calculate t(10).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 5*d**2 + 4*d + 3. Let g be n(-2). What is the units digit of (g\/9 - 2)*-33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 18 = -7*v. Let b = -5 + 0. Let l be 2\/b - 17\/(-5). Solve 5 = -h + 6*h - v*a, 3*a - 3 = l*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000185393791 to seven dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 1.5, 2\/15, 34, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + 2 + sqrt(75) - sqrt(75)) + -4 + -6*sqrt(75))*-4)**2.\nAnswer: 4800*sqrt(3) + 43600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.068 + -0.218. Which is the biggest value? (a) 0.5 (b) 0.3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v - 2297 + 2297 + 8*v**2 as n*v + i + u*v**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1733638679?\nAnswer: 19, 83, 1099327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -771 in 0.1, -2, -522?\nAnswer: -522","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 85 + -109aa4?\nAnswer: -109a1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -123455\/8 + 15432. Which is smaller: 424 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7 + 1 + 3 - 3 - 13 - 4*u. Let j(x) = 2*x. Calculate j(q(a)).\nAnswer: -8*a - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/51 and 65\/93.\nAnswer: 1581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m\/m**(-1\/5))\/m)*m\/(m\/(m\/(((m\/(m*m*m*m\/(m\/(m**1*m*m))*m)*m)\/m*m)\/m*m*m*m))*m)*m**(-1\/2)\/m**(-3\/2) assuming m is positive.\nAnswer: m**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n = -23*n + 34 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 8:59 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26628 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7, -110, -247, -418, -623?\n\"Answer: -17*d**2 - 52*d + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 0 - 11\/6*k**3 - k**2 + 4*k. Is y(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 1) + -3 - (94 + -95)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3924.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*a + 478 = 16*a + 32*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 544817 divided by -56\nAnswer: -77831\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - 17\/(-4)) + (-466796)\/137648. Let m = z - 2\/1229. Is -4 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 + 19. Solve 2*j = -0 - f for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnznrzjzzz. Give prob of sequence nrnz.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 125111885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 430\/16*9\/45. Suppose 4*i - 14 = 5*q, 3*q + 10 = 3*i - q. Is f at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**7\/23940 + p**6\/3420 - 2*p**4\/3 + 10*p. Let o(r) be the third derivative of b(r). Factor o(f).\nAnswer: 2*f*(f + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 23 - 26. Let w be c\/((-25)\/(-10))*10\/(-24). Find f, given that w + 1\/6*f**2 - 1\/3*f = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -210114 - 1204?\nAnswer: -211322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.04 from -0.11946.\nAnswer: -0.15946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*l + 2*l + 3*l)*((25*l + 15*l - 33*l)*(-3 + 1 + 1) + 0*l + 0*l - 2*l) to the form d + f*l + a*l**2 and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1905489, 1905490, 1905491, 1905492?\nAnswer: 1905493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(156\/54))\/(-3)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, p: 2, d: 1, u: 2, y: 2}. Give prob of picking 2 u.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, -4138 in decreasing order.\nAnswer: 3, -4, -4138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 2:52 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.1 + 1.1. Suppose 0 = -341*z + 2*z + 59 + 280. Which is the closest to 0? (a) 0.1 (b) k (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 6*w**2 + 5*w + 4. Let p be z(-3). Let j(s) = -225*s + 249. Let m be j(1). Let l = p - m. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 15*j**2 + 26*j + 12. Let b = 54 - 41. What is the smallest common multiple of p(b) and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (-5 + 1)) + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -6*w - 558. Let h = w + 108. Solve 4*l = 4*m - 32, -3*m + 43 = -4*l + h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33941 is divided by 11308.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/5, -4, -1065.5, 5, -2, -0.2.\nAnswer: -1065.5, -4, -2, -0.2, 9\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -10. Let z = -5 - 1. Let p = n - z. Which is the nearest to p? (a) -4 (b) -1\/2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 64*r - 2. Let o(p) = 285*p**2 + 274*p**2 - 834*p**2 + 274*p**2. Give o(d(x)).\nAnswer: -4096*x**2 + 256*x - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/117 and (-357)\/65*1 + 6*1.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25912, 25924, 25936?\nAnswer: 25948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13924633483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 19*m**2 - 8. Let l(d) = 14*d**2 - 5. Let n(w) = 5*g(w) - 7*l(w). Let p(t) = -2*t**2 - 4. Calculate -4*n(a) + 5*p(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 0.52315.\nAnswer: 0.52315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 + 13*t**2 + 3*t - 10. What is the units digit of p(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1899486 divided by -365\nAnswer: -1899486\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -95094*p**5 + 548*p**3 - 212486966*p**2.\nAnswer: -5705640*p**2 + 3288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 28 + 6 + m + 3.\nAnswer: m + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a\/(a\/(a\/a**1)*a)))\/a)**(1\/4)\/((a**(1\/14)\/a)\/a**(-2)))**46 assuming a is positive.\nAnswer: a**(-529\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrkk. What is prob of sequence krk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61845 and 13454.\nAnswer: 3834390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -6.799 times -46\nAnswer: 312.754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 430826763.\nAnswer: 3, 211, 680611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 2)*(67*u - 23*u + 13*u) + (1 - 3 + 3)*(-293 - 6*u + 293) + (0*u + 0*u - 2*u)*(-4 - 3 + 4)*(-3 - 3 + 7) as n*u + r and give n.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five quarters of a hour?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l = -29*l - 3*n + 16, 4*l - 8 = -5*n for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-8))\/((-3549)\/728)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**5\/4 - 20293*n**4\/2 - 411765241*n**3\/4 + 206116006*n**2 + 1956067631*n - 2059232180 = 0.\nAnswer: -20294, -4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2407848718?\nAnswer: 2, 11, 151, 727, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 12:15 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -411*c - 349*c + 16415 = -425*c for c.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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 r = 5302\/7 - 758. What is the closest to 240 in 0.4, -1\/4, r?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -5. Suppose h = -0*f + 4*f - 68. Let x = f + -5. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 n when three letters picked without replacement from hhhnhhhhhhhhh.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 1070*i**2 - 295936*i - 10384. Determine b(1298).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -870 - -870.1. What is the nearest to p in -2, -3, -12, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**4 - 6*v**4 - 2*v**4 + (917*v + 1056*v - 2088*v)*(-2*v**3 + 2*v**3 + v**3).\nAnswer: -121*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n**2 - 16*n - 3. Determine q(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 32. Let y(r) = r**3 + 2. Let f be y(0). Let g be (-1 + 19)*f\/2. Calculate the highest common divisor of g and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -162, -4?\nAnswer: -162","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3641022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/325, -5, 0.01, 2, -3\/8?\nAnswer: -2\/325","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 4:12 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 n when two letters picked without replacement from {k: 2, o: 1, i: 1, u: 1, n: 1, t: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 966*s**3 - 50*s + 51. Is u(1) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/9 - (-395)\/45. Let r(p) = -p**2 + 9*p + 5. Determine r(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - y**2 - 4*y + 4. Let q be a(2). Solve 3*n = -q*n + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10\/29 - 52\/319. Let c = -0.05 + -1.95. Let k = 2 + c. What is the closest to 0.1 in -3, f, k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1289, -12058, -41275, -98162, -191941, -331834?\nAnswer: -527063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from llwwlvvlvlwv?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 1\/5 (c) 2\/7 (d) 865126\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 39699.27 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = s - 4, 5*c + s = -18. Suppose 2*r + 15 = 3*a, -5*a = 268*r - 264*r - 3. Sort r, 7, c in ascending order.\nAnswer: c, r, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 245 - 200. Let z be 1*-1 - c\/(-9). Solve -8*b - 12 = -z*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/y**22*y))**(-40)\/(y**13*y*y**(-1\/31)) assuming y is positive.\nAnswer: y**(-27713\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*r + 3 + 5*r + 3*r - 2*r**2 + (-7*r + r - r)*(4*r - 3*r - 2*r) in the form h*r**2 + k*r + p and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 20144.\nAnswer: -1\/10072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 15 = 5*i + 5, 5*x - 5*i - 40 = 0. Solve -5*l + 0*l = 4*b - 20, 2*b - x*l = -20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.981 - 0.019. What is the nearest to 1 in h, 3, 30?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 516*s**2 + 2547*s + 4087. Give j(511).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + x = -1, -3*t + 6*t + 3*x - 24 = 0. Suppose 6*r - 15 = r. Suppose -h = -r*h - 2*k + 18, t*k = -12. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1795 (base 10) to base 2.\nAnswer: -11100000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106 + 97. Put 3, x, 4 in decreasing order.\nAnswer: 4, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40 + 282\/7. Let r = -0.7 + -3.3. Let x be -2 + 3 + (-1)\/3. Which is the nearest to 1? (a) r (b) x (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - u + 47 = 11*t, 0 = -t - u + 8. Solve 33 = -5*k + t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 165 + -3?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 12*x**2 - 14*x + 2. List the prime factors of g(-13).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -116783, -233567, -350351, -467135, -583919, -700703?\n\"Answer: -116784*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -a2cac?\nAnswer: a2ca7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -834195, -1668383, -2502571, -3336759?\n\"Answer: -834188*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -742, 2, -5 in descending order.\nAnswer: 2, -3, -5, -742","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1795 - 1534 - 1781 + 5108 + 21*r.\nAnswer: 21*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -1\/4, -27\/7, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -2\/13 (b) 1\/5 (c) -175\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 122663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 61. Let k = z - -51. Calculate the lowest common multiple of 22 and k.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*x**3 - 40260*x**2 + 134109*x - 40230 = 0. What is x?\nAnswer: 1\/3, 3, 4470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9121 + 21684. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 26*b**2 + 105*b - 20. What is t(-4)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + 4 + (-12)\/15*-15. Solve 10*u - 6 = m*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = p - 140342, 43083 + 518279 = 4*p - 2*v. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*v - 21*v + 5*y + 132, v = y + 104. Let b be 1\/(-4) - (-762)\/8. Let s = v - b. What is the highest common factor of 10 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*n - 36, 2*i - 4*n = 7*i - 122. Suppose 0 = -2*a - 2*d + i, 0 = -4*d - 7 + 3. What is the remainder when 41 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**5\/60 - 3*x**4\/8 - 11*x**3\/6 - 4*x**2 - 1600*x - 1. Let t = -14 - -23. Give r(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2220200 + -2?\nAnswer: 2220121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 38, -5, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 243, 238, 233?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + z)*(z - 3*z + 3*z)*(46*z + 63*z - 154*z).\nAnswer: -45*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89648?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2459\/5 + -492. Which is the fourth smallest value? (a) 2 (b) 13 (c) h (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 36829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 42613 to the power of 1\/2, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.3, -3, -15\/11, 0.1 in increasing order.\nAnswer: -3, -15\/11, -0.3, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 55\/11*((-6)\/15)\/((-14)\/(-7))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21707929 to the nearest integer?\nAnswer: 4659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-2 - (-1 - -2)) - 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - q + 1. Let b(w) = 3146*w**3 - 1534*w**2 - 6*w + 4. Let r(o) = -b(o) + 4*s(o). Find the third derivative of r(y) wrt y.\nAnswer: -18876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnfejkkna. What is prob of sequence nk?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343*t - 17 + 11 - 21 + 14 + 13.\nAnswer: -343*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r\/r**(-8))*r))**(-6\/31) assuming r is positive.\nAnswer: r**(-48\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1050, 1031, 974, 855, 650, 335?\n\"Answer: -4*g**3 + 5*g**2 - 6*g + 1055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6 = -2. Suppose 22 = t*k + 2. Let z = k + -5. Solve -z = -5*c - 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p**2 + 12*p + 1. Let h be w(-3). Calculate the highest common factor of h and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 6 - 2)*(10782*n + 615*n + 9911*n + 347*n) to the form x*n + a and give x.\nAnswer: 43310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-135)\/729*7434\/(-295). Solve -l*v**3 + 176\/3*v - 40\/3 - 122\/3*v**2 = 0 for v.\nAnswer: -10, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 10. Let g = 4 - l. Is g - -1 - (-18 - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 18. Suppose 4 = -3*o + 2*r, -2*o + r - 2 = -0*o. Suppose b*x - 4*x = o. Solve -2*n - 3*n = x for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10115 is divided by 84.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/28? (a) 0.2 (b) -2\/5 (c) 5 (d) 2\/3 (e) -3.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*c**3 - 3 + 0 - 44*c**3.\nAnswer: -56*c**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and -0.2272.\nAnswer: -0.5272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9873 - -29620\/3. Let a = 0.0176 - -541.9824. Which is greater: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -13*o. Let i(g) = 2*g. Let r(u) = -15*u. Let h(k) = 5*i(k) + r(k). Give h(d(q)).\nAnswer: 65*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 54095, 54104, 54125, 54164, 54227, 54320?\n\"Answer: b**3 + 2*b + 54092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 q, and 1 k when four letters picked without replacement from {f: 4, q: 1, t: 9, k: 1, y: 4}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*11\/(-385) + (-2)\/(-14). Solve 6*m = -b*m + 10*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**10\/1680 - k**6\/72 - k**3\/2 + 5*k. Let i(s) be the second derivative of p(s). What is the third derivative of i(z) wrt z?\nAnswer: 360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 a when three letters picked without replacement from aotqoozaaaaz?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -16*z**2 - 64*z - 11. Suppose 4*o = 4, -38*o = 2*m - 33*o - 13. Let d(t) = -3*t**2 - 13*t - 2. What is m*q(f) - 22*d(f)?\nAnswer: 2*f**2 + 30*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -15. Suppose -2*a + 3 + 2 = w, 5*w - 55 = -4*a. Let n be 8\/(-70) + 6\/w. Sort t, -0.3, n.\nAnswer: t, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-41637)\/430249)\/((-12)\/(-62))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4843 greater than or equal to -3992?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -864584, -864682, -864780, -864878, -864976?\n\"Answer: -98*z - 864486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/10)\/(1\/5). Suppose -3*a - m*a - 5 = 0, -5*y = 2*a - 88. Calculate the common denominator of 9\/11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -176979 rounded to the nearest 1000?\nAnswer: -177000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 28, -2\/13, -17\/2?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and 297927?\nAnswer: 3575124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 28954924 to the power of 1\/2, to the nearest integer?\nAnswer: 5381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 - 46*i + 32. Let v be c(23). Suppose -v*g - 4 = -132. Solve 5*q - 1 = g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -190 at least -189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72 - 69. Suppose 17466 = 3*y + 4*a - 12425, r*y - 29873 = 5*a. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at least 0.0507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, 0.5, 2\/19.\nAnswer: -7, 2\/19, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 40, -3\/1852, 4\/3?\nAnswer: -3\/1852","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.5 + -2.5. Let w(y) be the third derivative of y**5\/60 - y**4\/4 - 14*y**2. Let c be w(4). What is the second smallest value in 0.5, c, 5, q?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i**2 + 5*i**2 + 4*i**2)*(4 - 5 + 5)*(18*i + 22*i + 48*i) + (-3 + 3 - i**2)*(-2*i + 0*i + 0*i).\nAnswer: 1058*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -2, -1019, -1 in decreasing order.\nAnswer: 0, -1, -2, -4, -1019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -450 - -452. Suppose 2*p - 16 - r = 0. What is the lowest common multiple of p and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14724649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 4*c - 19612, -371*y + 372*y = 4*c + 9802. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(147) + -1) + -2*sqrt(147) + 2)**2.\nAnswer: -224*sqrt(3) + 2368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -118*b - 53*b - 1197 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - (4 + -10)) + -1. Put v, -18, -3, -1 in decreasing order.\nAnswer: v, -1, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 22*o + 11*o + 4 + 19*o + 40*o. Let s(k) = -k**2. Give v(s(n)).\nAnswer: -92*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*t - 9. Let p be (1 - 1 - 1813369)*t. Suppose 26738 = -4*c + p. What is c rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3711?\nAnswer: 3, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 283447 + -4.\nAnswer: 283443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 212 and 31747?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 41*v + 36. Is f(19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*u + 6466, 4 = -4*w + 8. List the prime factors of u.\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 395, 379, 359, 335?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -13*b**2 - 39*b + 8. Let m(y) = 7*y**2 + 20*y - 4. Let z(t) = 6*g(t) + 11*m(t). What is z(-13)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55461 (base 7) to base 14\nAnswer: 5131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 0.33, 4, 1\/5, 0.1, 1, 266?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1367589485 is divided by 89?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-325595 + -5)\/(-12 - -11). What is c rounded to the nearest ten thousand?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.20588 plus -69124977?\nAnswer: -69124977.20588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-14) - (-9)\/7. Let i(c) = c**3 + 9*c**2 - 9*c + 10. Let n be i(-10). Solve n + b = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(9) + sqrt(27)\/sqrt(3) + sqrt(9)))**2*1 - (0 + 2 + sqrt(5) + sqrt(5) + -1).\nAnswer: -2*sqrt(5) - 4\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9 + 9 + p. Let l(k) be the third derivative of k**4\/12 + 2*k**2. Calculate j(l(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 586 + 52. What is the highest common factor of 29 and o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.026, 3\/4, -3, 0.3?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -2. Suppose 9 = z + u. What is the third derivative of -3*g**2 + g**z + 10*g**2 - 5*g**2 + 4*g**6 wrt g?\nAnswer: 600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26472.1 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 6.5. Let p = j + 0.5. Which is the third biggest value? (a) -0.5 (b) p (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (192\/6 + 21)\/(2\/254). Calculate the highest common factor of 762 and p.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/z**10)*z)\/z)\/z)**45*z**13\/z**15 assuming z is positive.\nAnswer: z**403","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8 - 4*j**4 + 2*j**2 + 3*j**2 - 4*j + 4*j**3 + 2*j**2 + 5*j**2.\nAnswer: -4*(j - 2)*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 1:10 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(875) + 5*(sqrt(875) - (sqrt(875)*-2 + sqrt(875))))*-5)\/(5*sqrt(180) - sqrt(5) - (sqrt(1600) + sqrt(25))\/sqrt(5)).\nAnswer: -55*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1109 + -1104. Sort 245, o, -2 in increasing order.\nAnswer: -2, o, 245","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-39)\/(20\/((-120)\/18))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1990 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: Calculate prob of sequence gt when two letters picked without replacement from ppfllgnlpltg.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 1. Let m(l) = -2*l - 3. Let c be m(-3). Suppose 4*y + 2*z + 2*z = 4, 0 = 3*y + 4*z - c. Give s(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.066 - 4.934. Which is the second smallest value? (a) -1\/10 (b) 1.8 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147066 is divided by 1058.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -209*q + 1051 + 191 = -163*q for q.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, 1\/2, 6\/11, -2.9 in descending order.\nAnswer: 6\/11, 1\/2, 1\/9, -2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*i = 0. Let v be ((10\/(-6))\/1)\/(38\/(-114)). Solve l + i = -v for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 3*i - 39, 119729*i - 26 = -2*g + 119727*i for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**3 + 7*q**2 + 462*q - 2276. Give t(5).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20316189?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/16)\/((-19)\/(-152)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632285.\nAnswer: 5, 126457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -2.3. Let p = 117652 - 117633. Which is the smallest value? (a) 3 (b) s (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -1\/5, 3, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002 + 20110102?\nAnswer: 20111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/2 (b) -5 (c) -129 (d) 2\/9 (e) 4 (f) -10 (g) 201\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.155389415831434 from -1.\nAnswer: -1.155389415831434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sy when two letters picked without replacement from yysy?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -5, 5 = w + f - 24. Suppose -w*y = 22*y - 750. What is the highest common factor of y and 170?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 25 = 4*n, 2*n - 4*d = -2*n - 20. Suppose 2*c = -n*c + 2. Let a(z) = z**2 - z - 1. Let t(j) = j**3 - 2*j**2. Give c*t(y) + 2*a(y).\nAnswer: y**3 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(125)*5)**2 + -5*(1 + sqrt(605) - sqrt(605)).\nAnswer: 28120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f**2*v**5 + 5*f**2 + 5*f*v**5 + f*v**2 + 3*v**2 wrt v?\nAnswer: 180*f**2*v**2 + 300*f*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 8*h**2 + 9*h**2 + 0*h**2 - 12 - 2*h**2 to a*h + w + b*h**2 and give w.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 - -57. Suppose -93 = -4*j - 3*f, f + 77 + a = 5*j. Is j\/14 - (-295)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*r**5 + 48*r**3 - 316*r**2 - 1259297*r?\nAnswer: -160*r**3 + 288*r - 632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1*10\/8)\/(14\/(-56))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from wdzdraff?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 8*d**2 - 11*d - 2. Let c be q(6). Suppose -5*h + 3*h + c = -2*l, 3 = h. Solve 4*p = -l + 9 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/17, 15514, -5, -8488\/5, 0.2, 3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = l - 34, -4*l + 0*l + 5*n = -61. Sort -3, 0, -5, l in decreasing order.\nAnswer: l, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 569447206?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20876708 + -10616708. What is f rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 11*h**2 - 6*h - 17. Is k(9) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*x**2 + 20*x**2 + 28*x**2 - 51*x**2 - 3*x wrt x?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 7 = -2. Suppose j - 188 = -5*s, s = -w*j + j + 43. What are the prime factors of s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -23*x**3 + 5*x**2 + 4*x. Calculate the lowest common multiple of 78 and r(-1).\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*t - 9, -5 = -4*w + 3*w. Let o(n) = -n**3 + 3*n**2 + 3*n + 3. Let i be o(3). Solve -u - 4*l = -i, -4*u - u + t*l = 28 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 6*o**2 + 6*o - 9. Let k be s(-7). Let j(v) = v**3 - 3*v**2 - 4*v - 3. Let a = 9 + -5. Let w be j(a). Is k >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*m + 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(468) + -1)*-5)**2.\nAnswer: -2700*sqrt(13) + 105525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 14*t**2 - 5*t. Let i be ((-14)\/(-6) - 2)*27. Let u be a(i). Suppose -4*w = -u - 404. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3400 = -98351351*k + 98351251*k for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 3, 158 in increasing order.\nAnswer: 0, 2, 3, 158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 29 = 3*z, 0 = -5*z + g + 23 - 72. Let k(o) = 13. Let j(m) = m. Let r(n) = -2*j(n) + k(n). List the prime factors of r(z).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -60334*o**2 - 47459 wrt o.\nAnswer: -120668*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(-w**2 + w**2 + 3*w**2)*(-3*w + 0*w - w) + 0*w**3 + w**3 - 2*w**3.\nAnswer: 23*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 4 - 5)*(51*q - 172 + 172)*(-2*q - q - 4*q) in the form k*q + n + s*q**2 and give s.\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -35928, -32646, -27182, -19536, -9708, 2302?\n\"Answer: 1091*w**2 + 9*w - 37028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 138150 and 10350?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2616512257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 819257805.\nAnswer: 3, 5, 107, 229, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**5\/3 + 25*s**4\/3 - 84*s**3 - 2516*s**2\/3 + 16960*s\/3 + 6400 = 0.\nAnswer: -30, -10, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -28. Let m(l) = -32*l + 5 - 6 + 35*l. Calculate m(t).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 0 - 4. Suppose -c - z*c + 18 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h**2 + 4*h. Let i(w) = w**2 - w. Let k = -13 - -17. Suppose 2*c = k + 4. Give c*i(v) + t(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125860 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c1ac - -5?\nAnswer: c1b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -11, 2, 4, 5 in increasing order.\nAnswer: -11, 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from kkqzddkkqzdkqqlkkq.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -283 from -97306.\nAnswer: -97023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 47295 (base 11) in base 16?\nAnswer: 10a83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 21, 3 in descending order.\nAnswer: 21, 13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y - 1646*y - 1224*y + 51804 = 0 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 28 = -0*x + 5*i, i = 2. Suppose 9 = j - x. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2809625 = 132*p - 1027747. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 159*i - i**2 - 159*i. Let l(v) = 2*v. Determine l(j(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 1 + 13 = 0. Let w = 85 + -80. Suppose w = d - 0. Calculate the remainder when d is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-o + 3*o + o)*(1 - 1 - 2*o) - 2 + 2 - 2*o**2)*(-10 + 33 - 1).\nAnswer: -176*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -22*w - 8. Let q(a) = -a**2 + 18*a - 39. Let x be q(16). What is the units digit of c(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3252 plus 0.33?\nAnswer: 3252.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 119, 99, 53, -31, -165, -361, -631, -987?\n\"Answer: -2*r**3 - r**2 - 3*r + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 14 = 6*b + 4*w, -4*b - 4*w = -24 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 108*g + 1121. Let y(v) = 42*v + 448. Let m(k) = 2*a(k) - 5*y(k). Let o be (-1)\/(-2) + 7\/(-2). Determine m(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00102 to 5 dps.\nAnswer: -0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -415 - -450. Solve 2*d + 31 = f for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**0\/(o\/(o**(1\/5)*o)) assuming o is positive.\nAnswer: o**(1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66248 is divided by 66161.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tztz when four letters picked without replacement from {z: 2, t: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2925911, 2926072, 2926341, 2926718, 2927203?\nAnswer: 2927796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.3, -2\/17, 0.3 in increasing order.\nAnswer: -10.3, -2\/17, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**5 - 2*j**5 - 2*j**5 + 176*j**4 - 642*j**5 - 176*j**4 + (2*j + 0*j + 0*j)*(-j**4 - 3*j**4 + 6*j**4) - 2*j**5 + 2*j**2 - 2*j**2.\nAnswer: -639*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -6 - -1*(-4 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/44 and 24\/5815?\nAnswer: 255860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27483 or -27482?\nAnswer: -27482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1732 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = g + 18, -5*p - 5*g + 13 = -g. Suppose -p*b + 0*b + 100 = 0. Solve -2*j - j - 12 = 4*m, 5*m - 5*j = b for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + g + 2 + (-2*g - g - 5*g)*(-1 - 2 + 0) + (-1 - 3 + 5)*(g - g - g) + 0*g + 4*g - 2*g.\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25.33 + -1375.33. Let u = k + 1346. Let z = -11\/9 + 5\/9. What is the closest to -5 in 1, z, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24109?\nAnswer: 24109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**5\/150 + 4*c**3\/15 - 215*c**2. Factor n(i).\nAnswer: -2*(i - 2)*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67432006241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -205*z**2 - 13*z + 106?\nAnswer: -410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aaxaxaaa?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 60045278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*b - 350 = 0. What is the highest common factor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -5*t**2 + 145860*t - 1166560 = 0.\nAnswer: 8, 29164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 0 - 84\/5*k + 1\/5*k**3 + k**2 = 0.\nAnswer: -12, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123, 241, 347, 435, 499, 533?\nAnswer: 531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4349581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59909890.\nAnswer: 2, 5, 389, 15401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 6.6. Let o = v + -1. Let i = -2000\/7 + 286. What is the smallest value in 0, i, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/3, -4, -277?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -1. Let w = 2039 - 2039. Solve -t*m + u = -13, -u - 5 + 0 = w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12\/481 + 745\/10582. Which is the smallest value? (a) f (b) 2\/13 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8264350999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -471, -302, -27, 348, 817, 1374?\nAnswer: 2013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2303684531 to the nearest integer?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -g**2\/2 + 5*g - 78. Give m(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 - -0.05905095623516?\nAnswer: 0.55905095623516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128238\/670 + -123)*(1*(1 - 6))\/(-3).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*h = -10*h + 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) + (sqrt(132) + sqrt(132) + sqrt(132)*-1 - sqrt(132)))*-1)\/(sqrt(144)\/(-2*sqrt(12)) + sqrt(12) - sqrt(12)) + sqrt(704)*2*-5)**2.\nAnswer: 66924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + -4. Let v = 49353\/7 - 7050. Which is the smallest value? (a) o (b) v (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fgf when three letters picked without replacement from ffgffffffffff?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a - 2. Let i(j) = -11 + 6*j - 4*j + 8*j. Suppose -8 = -2*h + 64*g - 66*g, 5*h - g - 8 = 0. Calculate h*i(o) - 11*t(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h**3 + h**2 - h - 1. Let j be s(-1). Let i be 26\/j - 3\/(-9). Let x = 206 + -207. Which is the closest to -2\/3? (a) -0.2 (b) x (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.75 + 448063\nAnswer: 448063.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*x - 92*x + x**2 - 2*x**2 + 18*x**3 - 54*x**3 wrt x.\nAnswer: -216*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 77*k - 76*k. Solve 3*l - k*l = 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, u: 2, s: 3, r: 1}. Give prob of picking 1 r and 1 u.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6*l + 3*l - 15 = 0, 0 = -5*w - 4*l + 7. Suppose 3*f + 1 = 4*f. Which is the closest to -7\/6? (a) -0.5 (b) w (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**2 - 1\/80*h**5 - 3 + 0*h - 1\/4*h**3 - 3\/32*h**4. Let a(c) be the second derivative of z(c). What is y in a(y) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/((-1)\/((6\/(-4))\/(24\/8)))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ae - -13?\nAnswer: c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2\/5 - 5318*j\/5 + 7070281\/5 = 0. What is j?\nAnswer: 2659","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 8*c**2 - 22*c + 113. Is p(6) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 6*y**2 + 2*y - 16. Let f(k) be the third derivative of -k**5\/60 - 2*k**2 + 2079*k + 2. What is a(f(o))?\nAnswer: 6*o**4 - 2*o**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 - -68. Let g = x + 1. What is the biggest value in 0.02, -1, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.5 (b) -1 (c) -5\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 11:33 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**4\/7 + 23806764*s**3\/7 - 3400966*s**2 = 0.\nAnswer: 0, 1, 11903381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 3*c**2 + 3. Let v be g(-3). Let h(q) = 17*q**2 + 80*q - 19. Let x be h(-5). Solve -7*k + 3*k = m - x, -4*m + v = -5*k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 15\/4 of a microgram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*z + 14633 - 1529 = 0. Suppose 3*c - 7*c = r - 673, -3*r = 3*c - 498. Let x = z + c. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 5*j + 10 = 0, -19*j - 62 = -q - 48 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o**2 + o - o)*(3*o + o - 6*o) + (-3 + 0 + 1)*(-3*o**2 + o**2 + 0*o**2)*(91025 + 91024 - 182048 + 3430*o) as w*o**2 + h*o + u + p*o**3 and give p.\nAnswer: 13722","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153614479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 11*u**3 - 2*u**2 - 2*u + 13. Let v(h) = 5*h**3 - h**2 - h + 6. Let t(g) = -g**3 - 7*g**2 - 9*g - 5. Let y be t(-6). Determine y*v(m) - 6*w(m).\nAnswer: -m**3 - m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*v - 1498 - 1382 = 0. Solve v*k = -2*k + 40 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**2 + 6*z**2 + 65*z**2.\nAnswer: 78*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -14*z**2 - 15383*z - 182585. Calculate v(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3 - 7*d**2 = 0 for d.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 2*u + 8, -4*r - 5139 + 5131 = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 9) to base 5.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 22306 = 4138. Suppose 12*x = -c + 36710. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of 0 + 0*n**3 + n**2 + 0*n - 1\/8*n**4. Let r(u) = 6*u. Determine r(h(t)).\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/6 of a week?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80.9187 years to decades.\nAnswer: 8.09187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 592 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*m + 6620 = 0, 73*n + 5*m + 6625 = 78*n. Is 21 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - b + 5*b + (-2 + 2 + 1)*(0 + 0 - b))*(2*b - b - 3*b + (4 + 0 - 2)*(-b - 2 + 2) - 2*b + 5*b - 5*b - 2 + 13*b - 11*b - 2).\nAnswer: -8*b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 357 + 41755982.75?\nAnswer: 41756339.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1188, 2, 336, 7, -3, 1, -4 in descending order.\nAnswer: 336, 7, 2, 1, -3, -4, -1188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 6:12 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udd when three letters picked without replacement from uuduuud?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 5 = 2*a. Let j = -0.02 - 0. Let s = 0.38 - j. What is the second biggest value in s, a, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 16*h - 74. What is l(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 6:04 AM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 6, n: 7}. What is prob of sequence jnn?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 11:53 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-9)\/(-4))\/(57\/38))\/(3\/(-8)). Let j(m) = -1 - 1 + 3*m - 3*m + 2*m**2 + 3*m. Determine j(f).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1621785660?\nAnswer: 2, 3, 5, 11, 19, 23, 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208 is divided by 195?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 169.5 (c) 1 (d) 2\/13 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 2\/9793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 8. Let u = n - -9. What is the greatest common divisor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = d - 4*j, -298 = -5*d + 5*j + 517. Let u(k) = 3*k - 3. Let w be u(8). Let h = w - -3. What is the highest common factor of d and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -137*c**2 + 8*c wrt c.\nAnswer: -274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 2:21 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -w - 13. Let r be (-3)\/(-4) - (-3)\/w. Let n be (3\/(-24))\/(2\/(-12)). Is n bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 9*z**2 + 1. Let o be r(1). Let y(l) = -l**2 - 10*l - 10. Let p be y(-8). Suppose d = p*d - o. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 83 + 41. Calculate the remainder when 83 is divided by d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2096*m**2 + 1201*m - 1201. Calculate the remainder when j(1) is divided by 695.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 5*t = -45, -53*l - 3*t = -58*l - 11 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 439 = -3*j, -3*a - 557 = -5*j + 160. What is the remainder when j is divided by (0 - 24\/5)*(-860)\/129?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -82*r + 2. Let x be ((-2)\/4)\/(10\/(-80)). Let h be c(x). Is h\/(-10) - 10\/(-25) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-24)*(-6)\/(-627)*44.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/93, -7, 3\/7, 2\/83, -2\/11, 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.08 in -8, -12, 4\/5, -26\/7, 3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 3*l**2 - 3*l + 2. Let r be t(2). Suppose x - 31 = -r. Solve -4*a - 5*h + 17 = 0, -5*a - x - 20 = -5*h for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 486.2126 grams in kilograms?\nAnswer: 0.4862126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -257, -1377, -3111, -5465, -8445, -12057?\nAnswer: -16307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c6 - 4?\nAnswer: -ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**1)**(-8\/5)\/(y**(-5)*y*(y\/(y\/(y*y\/(y\/(y**4\/y)))*y))\/y*y*y))\/(y**(-6)\/y**(2\/17))**(7\/4) assuming y is positive.\nAnswer: y**(774\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 8*f**2. Let j be ((-8)\/6)\/((-10)\/30). Let c(h) = -2*h - 4*h - j*h + 9*h. Give c(q(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 153\/14 - 94\/7. Let l = 9091 - 9094. Which is the fourth biggest value? (a) 0.3 (b) l (c) -5\/4 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 406 divided by 1064\nAnswer: 29\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -1\/6, 24\/5, 0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*k + 76*k = 48. Let c be 190*3\/18 - k\/(-12). Suppose -5*m = 5*j - 6*j + 21, -15 = -j + 2*m. What is the greatest common factor of j and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/14)\/(888\/(-560) + 27\/15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 36 = -3. Sort 1, f, -1, 2 in ascending order.\nAnswer: -1, 1, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8453\/79)\/(2\/(-3)*-1*(-225)\/150)\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 24143 + 24171 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.71243m in millimeters?\nAnswer: 1712.43","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyyk when four letters picked without replacement from yykkyyk.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, 174, 260, 380?\nAnswer: 534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2002122 (base 3) to base 14.\nAnswer: -7b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-5)*(-14 - -5 - 1). Sort 0.5, u, -2\/15, 1.\nAnswer: u, -2\/15, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1343*h**3 - 5774*h**2 + 3*h?\nAnswer: 8058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 1 = -8 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35376388 and 476.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 8*t - 4. Let g be h(-7). Suppose 8*n + 10 = -5*w + g*n, 2*w + 8 = -3*n. Solve 2*o + 4*c + 4 = 0, -w*o - 5*c + 9 = -3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/5)\/(6\/(-12)) + 3.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-8\/5)*k)\/(k*k\/k**(-4\/15)*k))\/(k**(3\/5)\/(((k**1*k)\/k)\/k)))**(20\/9) assuming k is positive.\nAnswer: k**(-268\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 6*y - 4. Let b be j(-3). Let g = -8 - b. Calculate the remainder when g is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence skx when three letters picked without replacement from ccyckycqscxcy.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -9*z - 17*z + 25*z + 15. Let d(f) = 3*f. Determine c(d(i)).\nAnswer: -3*i + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (6 + 0 - (3 + 4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*l, 3*c + 2*l = -0*l + 159. Suppose -5*i - 11 = -c. Suppose i = 12*y - 8*y. Solve -o + 5*t = 23, 3*o = -o + y*t - 20 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 464, 1886, 4256, 7574, 11840, 17054?\n\"Answer: 474*k**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 90 - 2?\nAnswer: 8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 p when two letters picked without replacement from qepqqqspqqhp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -225, 0, 3, -2 in increasing order.\nAnswer: -225, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1852107, 3704228, 5556363, 7408518, 9260699, 11112912?\n\"Answer: z**3 + z**2 + 1852111*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/2, 2, -15967, 0.3, 0.2?\nAnswer: -15967","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/13, 3759280, 0.5, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 760011, 1520038, 2280081, 3040140, 3800215, 4560306, 5320413?\nAnswer: 6080536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 0.12199.\nAnswer: 0.12199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 14586 = -z, 3*m + 21889 = 4*z - 5*z. Let c = -4726 - m. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 - -13)*(-1)\/(-4) - -1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 511*j**2 + 2*j - 1. Let r be b(1). Let n = 760 - r. Let y = n - 1244\/5. Is y < 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3774 and 276.\nAnswer: 173604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**5\/9 - 14816*y**4\/9 - 308248*y**3\/3 - 11467900*y**2\/9 - 44964794*y\/9 - 3822980 = 0.\nAnswer: -47, -7, -1, 7470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/10)\/(9\/330). Suppose 43*f = r*f + 2. Let o be (0 - 3)\/(-6)*6. Sort o, f, 2.\nAnswer: f, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*q + 4 = 3*u, 5*u - 19 = -2*q. Suppose -u*m = -81 + 26. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 385*y + 7 + 6 + 380*y - 5 to f + p*y and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**2 + 144*b - 152. Let m(j) = -2*j**2 - 146*j + 152. Let r(p) = -5*m(p) - 4*n(p). Suppose r(l) = 0. Calculate l.\nAnswer: 1, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/7)*g)**(-3\/5))**(1\/9) assuming g is positive.\nAnswer: g**(-3\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 23, 13 in decreasing order.\nAnswer: 23, 13, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1033237014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405*z + 441*z = 0. Solve k + l = z, -3*l + 7*l = -2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 + 149. Suppose q = d + 4*m, -2*d - 3*m + 222 = m. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1465725599 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 68360 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 8. Suppose 3*g - 12 = 3*i, -g - i + 16 = u*g. Solve -4*t + 7*t = -g*s - 1, 4*t = 3*s + 18 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2*9 - 1\/2. Put u, -4, -3 in descending order.\nAnswer: -3, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*sqrt(612) + sqrt(612) - sqrt(612))**2 + (4 + sqrt(17)*2)**2.\nAnswer: 16*sqrt(17) + 2532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2981*h*x - 10807*h - 103*x - 3717719 with respect to h.\nAnswer: -2981*x - 10807","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbmt when four letters picked without replacement from btbtmmmttggt.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 40*(-25)\/(-750)*-3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 34*b + 68. Let d be u(16). Suppose -69 = 17*p + d. Is p at most -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 3)*(13*w - 5*w - 6*w) to the form v*w + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*j + 2*r - 6, 2*j - 30 = 5*r. Suppose 0 = 2*n - 6 - 2. Suppose 0*t = n*t + x - 4, -x + 2 = 3*t. What is the smallest common multiple of t and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49953 - 19945. Suppose 0 = 3*c - 6 - 6, 4*x + 2*c = y. What is x rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -56 (b) -4 (c) -2\/19 (d) -21.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 61, 81, 85, 67, 21?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -746\nAnswer: -5\/746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 863?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 4*h + 166, -5*h = -8*h - 12. What is the smallest common multiple of 6 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1239644068 at most 1239644069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 530774 and 4208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -710, -1471, -2230, -2987, -3742, -4495?\n\"Answer: c**2 - 764*c + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6994171, 13988355, 20982543, 27976735, 34970931, 41965131, 48959335?\n\"Answer: 2*z**2 + 6994178*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -38, -68, -98?\n\"Answer: -30*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - -1*sqrt(117))**2*5 + sqrt(117) + 4.\nAnswer: 3*sqrt(13) + 2344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o = 2*t - 16, o = -5*t + 40. Let a be (-3)\/(-6)*(-7 + -43). What is the tens digit of (-24)\/t - (0 + a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86621*t**3 - 636*t**2 - 589721366*t wrt t?\nAnswer: 519726*t - 1272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + l + 8. Let q be s(4). Let y be ((-2)\/q)\/((-5)\/10). Which is the nearest to -2? (a) -0.1 (b) -0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117)*-1 + 3 + -3.\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2 + sqrt(17) + sqrt(2057)*4 + 2.\nAnswer: 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**1)\/x)**(-18\/5)*x**(-1\/4)\/x**(-2) assuming x is positive.\nAnswer: x**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7*f = -2*f - 1913, 2*z - 4*f = -1910. Let b = -627 - z. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**2 + 640*p - 8400 = 0.\nAnswer: -140, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1.79+0.4\nAnswer: 2.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -340.50709 + 0.44909. Let y = i - -340. What is the second smallest value in 0.5, 4, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 13 + 5*i + 7*i**2 - 5*i - 11*i**2. Let d(v) = v**2. Determine d(s(w)).\nAnswer: 16*w**4 - 104*w**2 + 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b. Let r(y) = 39*y + 34*y - 116*y + 33*y. Give r(d(p)).\nAnswer: -50*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 27*z + 23. Let b be q(12). Let p = b + 212. What is the highest common factor of 44 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205970747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nynn when four letters picked without replacement from {t: 1, y: 2, n: 5, p: 8, z: 1}?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 112 (b) -3\/5 (c) 1\/2 (d) -0.4 (e) 570 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-3 + -6 - -9)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0467 + 5.0933. Let y = c - 5. Let b = -0.14 + y. What is the smallest value in -0.1, 2\/7, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 528 and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108405 and 33.\nAnswer: 108405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 3, -4*v + 6*v + 503 = z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/3 - (-28)\/(-42). Sort -9, d, -1.\nAnswer: -9, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5599*3 - (-4 - -3)*4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 19, 54, 105, 172, 255, 354?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**2*i*v + 1444*a**2*v**3 + 3922*a*i*v**5 + 45*a*i + 20300*i*v + 2*v wrt v?\nAnswer: 8664*a**2*v + 78440*a*i*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 748021 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 divided by -6?\nAnswer: 46\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 4*w - 16, -135 = 3*k + 5*w - w - 123 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 4*w - 1. Let s be d(3). Let l(r) = -3 - 4 - r**s + 5 - 3*r. Let g(u) = -u - 1. Let z be g(3). Calculate l(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3613846 is divided by 103?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/53455 - -117621\/534550. Find the common denominator of x and (298\/(-90))\/((-4)\/(-6)).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2970 - 55*t**5 - 29*t + 2973 - 11*t**5 wrt t.\nAnswer: -1320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 8. Let x(f) = -f**2 + 4*f - 2. Let j be x(u). Let p(l) be the first derivative of 3*l**2\/2 + l - 1. What is p(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2 + 62*x + 48. Determine g(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v. Let j(h) = 4*h - 37. Let m(p) = j(p) + 2*y(p). Let a be m(16). Put a, 1\/4, -1\/6, -0.29 in descending order.\nAnswer: 1\/4, -1\/6, -0.29, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1363173, -1363171, -1363169?\nAnswer: -1363167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76108?\nAnswer: 2, 53, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12271 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w - 78867*w**2 + 0*w + 15 - 56740*w**2 - 24393*w**2. Let m be q(15). Round m to the nearest 1000000.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -13. Let y(q) = 2*q**3 - q. Let o be y(n). Let g be ((-10)\/6)\/((-2)\/12). What is the highest common divisor of g and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, 4, -0.4, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/2*(-1488)\/9. Suppose h - 1418 = -15*x. Calculate the lowest common multiple of x and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 715614 is divided by 79507.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12452, 12521, 12590, 12659, 12728, 12797?\n\"Answer: 69*y + 12383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 2 - -6 - (81 - (18 + -11) - 10).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -339 + 341. Which is the smallest value? (a) 50 (b) 1\/2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1002 is divided by 196.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -34857\/4078?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/675920 and 19\/7840.\nAnswer: 9462880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/5*70\/(-4). Let v be (-2)\/(-8) + b\/(-8). Let a(z) = 2*z - 1. What is the units digit of a(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 1)\/(5\/110). Suppose 0 = -0*u - u + y. List the prime factors of u.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11 - -10) + 2 + -4. What is the nearest to -1 in x, -1\/3, 37, -2\/11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -m - 17. What is the lowest common multiple of m and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 426691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -2*r**3\/3 - 5*r**2 - 9*r - 34. Let n be c(-3). Solve -2*q - 3*j = -19, 3*q - j - n = 9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-7587)\/(-63) - -2) + 3\/(-7).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 123585 and 29015?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-24))\/(1*(-1)\/1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92*d**4 - 92*d**4 - 21 + 2*d**3 + 183*d**4 to t*d**2 + o + q*d**4 + u*d + y*d**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -34512 < -2312226\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 80\/20553 and 37\/1306?\nAnswer: 26842218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 0. Let p(y) = y**3 - 7*y**2 + 7*y - 1. Let m be p(6). Suppose -f + 290 = m*l, f = -i*l - 12 + 184. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3401700 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 9418?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*c**3*f**2 + 376*c**3 - 3*c**2*f**2 + 3*c**2*f wrt f?\nAnswer: -32*c**3*f - 6*c**2*f + 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16130414309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 181036320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -1. Let h(i) = -2*i - 7. Let u(y) = 4*b(y) - h(y). Let m(t) = 10*t + 37. Let n be m(-4). Calculate u(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8397149 from 5.\nAnswer: -8397144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b + 2*b - 4*b)*(14 - 9 + 25)*(-4*b + 4*b - 2*b + (-2 - 1 + 1)*(-1 + 1 + b) - 1 - b + 1) to g + x*b**2 + d*b and give x.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(4\/(668\/(-3))). Let g = y + -167. Solve 4*c - 3*c = g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14706 = 51067*c - 50293*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, 20, 50, 78?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -275 - -341. Suppose 76*s = z*s + 48610. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 6*g + 7. Let f(w) = 6*w**2 - 35*w - 41. Suppose -2*i - 3*i = 4*u - 126, -44 = -u + 5*i. Let r(s) = u*a(s) + 6*f(s). Factor r(k).\nAnswer: 2*(k - 4)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -40*x**2 + 154*x + 25. Let h be l(4). Let g(y) = 49*y**3 - 4*y**2 - 4*y - 4. Let o(u) = u**3 - u**2 - u - 1. Give h*g(v) - 4*o(v).\nAnswer: 45*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -530, -528, -524, -518, -510, -500?\n\"Answer: x**2 - x - 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 761b64 + 37?\nAnswer: 761b9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (5 + 9 + -7)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-12) - (-64 + (-210052)\/(-3264)).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -185283 or -185282?\nAnswer: -185282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6965 (base 10) in base 9?\nAnswer: -10488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 11*d - 20 = 0. Let u be (26 - 28) + (d - (0 - 0)). Solve 3*x = -u*f + 8, -x + 2*f + 3*f = 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94400\/2000 + 13\/(-65)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3454.039um to centimeters.\nAnswer: 0.3454039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/((-15)\/(-9)) + 3. Let j(c) = -c**3 + 5*c**2 + 6*c + 8. Give j(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*(a\/a**(-1\/6))\/a*a))\/(a\/(a*a**12)) assuming a is positive.\nAnswer: a**(65\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -5\/6*c**4 + 1\/15*c**6 + 95\/42*c**7 - 1 + 0*c**5 + 7\/6*c**3 + 0*c**2 - c. What is the third derivative of t(k) wrt k?\nAnswer: 5700*k**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = b - 20. Suppose 2*l - b = 6. What is the greatest common factor of l and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -899, -1771, -2603, -3377, -4075?\nAnswer: -4679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92 + -124. Let m = 31 + l. Which is the fourth smallest value? (a) m (b) -1\/3 (c) -4 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n + 5*n - 22 = -v, n - 1 = -v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1456350367 to the power of 1\/2, to the nearest integer?\nAnswer: 38162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 17, z: 3}. Give prob of picking 2 x.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 50*q - 147. Solve 4*h - 6*t + 4 = -2*t, -q*h + 5*t = 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4944, 9883, 14812, 19725, 24616, 29479, 34308?\n\"Answer: -x**3 + x**2 + 4943*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.2 - -3. Let z = 2 - -58. Let y = -55 + z. What is the second biggest value in 0.3, i, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2682273823.\nAnswer: 23, 43, 277, 9791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c + 4c?\nAnswer: 5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -98? (a) -4 (b) 36 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 33*d**2 + 159*d + 128. Determine q(7).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/3*w**3 + 11\/3*w - 2 - 4\/3*w**2 = 0. What is w?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 2, 414 in increasing order.\nAnswer: -16, 2, 414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10426.\nAnswer: 2, 13, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 10 - 24 = 2*t, 5*t - 41 = -3*r. What is the smallest common multiple of 10 and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06329 - -62.44671. Let g = k - 63. Let d = 4.59 + g. Round d to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -52 - 48*g**3 + 445 + 91*g**4 + 171*g**4 + 93*g**3 - 46*g**3 wrt g?\nAnswer: 1048*g**3 - 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 3*l**2 - 7*l - 5. Let c be v(-4). What are the prime factors of (-3 - -2) + c + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 25506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104 - 104 - 607*r - 66*r.\nAnswer: -673*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -33115305 (base 6) in base 8?\nAnswer: -3615531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -1085*d**5\/4 - 8*d**3\/3 + 11*d**2\/2 + 2068*d - 3. Find the second derivative of n(a) wrt a.\nAnswer: -32550*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 15*p**2 - 7*p + 21*p**2)*(2 - 3*p - 2).\nAnswer: -18*p**3 + 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 + 68*w**2 + 398*w - 326. Calculate g(39).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4340659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 11*i = -410. Suppose -5*c + i = -5*j, 3*j - 97 = -2*c - 30. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*a = 27*a - 228817 - 171343. Is 142 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (0 + 2 + (-9 - -7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*m + 0*m = 198, 0 = n - 4*m - 66. Let s = -71 + n. Suppose -b - 3*b = -8. Sort b, s, -3.\nAnswer: s, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/7)\/(f\/(f*f**(-4)*f)))\/(f\/f**(1\/19)*f*(f*f**(-4))\/f*f) assuming f is positive.\nAnswer: f**(-240\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30.6 + 30.004. Let g = -0.56 - m. What is g rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -282 divided by -1165?\nAnswer: 282\/1165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p**2*s**4 - p**2*s - p**2 - 4*p*s**2 + 139*p*s - 400*s**4 wrt s.\nAnswer: 12*p**2*s**2 - 8*p - 4800*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (3 + (0 - 6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/1462005 and 58\/9.\nAnswer: 1462005","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 857*k + 12. Let j(y) = -145*y - 2. Calculate 13*j(r) + 2*u(r).\nAnswer: -171*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1613 + 2352. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/39 and 74\/273?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s + 0*s - s)*(3*s**2 - s**2 + 36*s + 0*s) to j*s**2 + a*s**3 + p + c*s and give j.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*b + 9 - 1 - 10*b)*(84 - 93 - 269).\nAnswer: -556*b - 2224","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by (-292)\/(-16) + 0 + (-1)\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 115 - 3?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.434 and 4174 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3223 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -647044*c - c**3 + 647044*c.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -n - 4*d - 0, -2*d - 57 = -3*n. Let v(l) = -4*l**2 - 10*l + 3. Let y be v(-5). Let f = 180 + y. Calculate the greatest common divisor of f and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/21 in 2, 1\/8, -2\/5, 3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1129*l - 1175*l = -635 + 129 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -741763.16 and 0.04.\nAnswer: -741763.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 7*g**2. Let t be x(-7). Let r(s) = -s**3 + s - 58. Let f be r(t). Let d = -56 - f. Solve 0 + 6 = -4*n - d*k, 1 = -n - k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -11*n**6\/120 - n**5\/30 + 67*n**4\/24 + 2847*n**3\/2 - 92*n**2 - n - 2. What is the derivative of u(w) wrt w?\nAnswer: -33*w**2 - 4*w + 67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2530662?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132517*h + 132465*h = 52 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3053107?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + -9 + 2 + 2. Let d(k) be the first derivative of -f*k + 0*k**4 - 3 + 0*k**3 + 0*k**2 - 2\/5*k**5. Find the first derivative of d(b) wrt b.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r + 9. Suppose 2*p = -3*p - 4*b + 138, 3*p = b + 93. Let h = 33 - p. Suppose -6*c + h*c + 21 = 0. Determine g(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -2*n**3\/3 + 43*n**2\/2 - 2*n + 295. What is i(13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-9))\/(8\/60). Let j(c) = -r*c + 3*c + 3*c + c. Let t be ((-1)\/(-1))\/((-1)\/(-1)). Let o(a) = 2*a - 1. What is t*j(i) - 2*o(i)?\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -47.6. What is the third smallest value in -3\/5, m, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -239*f**3 - 45*f**2 + 85*f - 26808101 wrt f.\nAnswer: -717*f**2 - 90*f + 85","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 14471906 and -0.1.\nAnswer: 14471905.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 14354.86?\nAnswer: -71774.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31090 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 462, 1861, 4192, 7455, 11650?\n\"Answer: 466*h**2 + h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 33. Let j be m(-11). What is the highest common divisor of j and 594?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 5 = 6*k, 28*k - 32*k = 2*v + 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162)*1 - sqrt(162))\/sqrt(6))\/sqrt(9) + (1 + sqrt(147))**2 + sqrt(60)\/sqrt(5))*4.\nAnswer: 64*sqrt(3) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 1\/2, -1, 0.14, 25\/168646?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 584806877 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 226 and 3051?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -94*t**2 - t - 12?\nAnswer: -188*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140065408.\nAnswer: 2, 7, 223, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59778\/61 + -980. Is b at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -3918.\nAnswer: 1\/3918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1007, -3948, -8855, -15734, -24591, -35432, -48263, -63090?\n\"Answer: -g**3 - 977*g**2 - 3*g - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.08, -2\/15, 0.4, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*l - 76 + 25. Suppose -7 = 4*c + 5. Let v = 7 + c. Solve v = -2*k - l*r, 4*k = r - 0*r - 22 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 729311915\/6 + -121083573. Let q = 463586 - x. Let k = -4815 - q. What is the common denominator of -7\/11 and k?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -181 + 91. Let q = 89.2 + n. What is the closest to q in -0.4, 0.2, -2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 544139?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/12, 3, 4\/5, -11.1, -29, -4?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 11*b - 4*m = 74, 211 = 7*b + 2*m. Let v = -35 - -66. Calculate the highest common factor of v and b.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - -0.3. Let q = -10 - -5. Let n be (-28)\/(-15) - (21\/(-84) - (-27)\/12). Which is the second biggest value? (a) q (b) n (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 1) + -12 + (14 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 342314 to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/(-2))\/((-21)\/42). Solve -c = 5*h + 2 - 1, -5*c - o = 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 866604899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the second derivative of 179*t**4\/12 + 72*t**2 + 139*t. What is the derivative of k(q) wrt q?\nAnswer: 358*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/(-3) + 1)*69\/(-46). What are the prime factors of (232 - (4 + w)) + -5?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + k + 4*k - 410 = 0, 5*u + k = 422. What is the highest common factor of 17 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, b: 4, h: 2, q: 2, y: 2}. Give prob of picking 1 y and 1 q.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 54*r**2 - 39*r + 950. What are the prime factors of h(15)?\nAnswer: 5, 2503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-17) - 368\/(-3128)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17447*q - 17357*q = 450 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6986 (b) 0.136 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -o - 62, 3*o = -3*i + 2*o + 103. Let j = 167 + i. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22174358 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**7\/21 - m**4\/6 - 2*m**2 + m - 16. What is the third derivative of o(n) wrt n?\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-24)\/20)\/((-1)\/(-5)). Let h be -2 + (-12)\/(-66) + 15\/44*20. Sort 4, h, x in ascending order.\nAnswer: x, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31946957 or 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3093227 millilitres to litres.\nAnswer: 0.0003093227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89 + 94. Suppose 2*l = r - 0 + 5, -4*l + 31 = t*r. Solve -l*c = 5*v - 45, -5*v + v - 3*c + 35 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000016614 rounded to seven decimal places?\nAnswer: 0.0000166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65*q**5*s + 258*q**2*s + q*s + q + 7*s + 191 wrt q.\nAnswer: -1300*q**3*s + 516*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -99 times 9628\nAnswer: -953172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) 304 (c) 179\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -357 (base 10) to base 16.\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-9 - -17) - 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 4*n**2 - n + 5. Let q be p(0). Solve -3*j + q = -4*j - 2*i, 2*i = -2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24 and 1053?\nAnswer: -25272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(sqrt(22)\/sqrt(2) + sqrt(11))*2 + 1)**2 + (-1*(sqrt(77)*-2 - sqrt(77) - sqrt(77)) - sqrt(77))\/(sqrt(7) - (sqrt(7) - (2*sqrt(70))\/sqrt(10))).\nAnswer: 7*sqrt(11)\/2 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 0, -4*z + 8*i - 12 = 3*i. Let g(x) = x**3 + 3*x**2 - x + 2. Let b be g(z). Solve h - 3*h - 2 = 5*w, -b*w = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.96 + -8.96. Which is the nearest to -62? (a) -0.5 (b) -1\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -584 = -584?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 621455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 0*i**3 + i + 16 + 14*i + i**3 - 11*i**2 - 3*i. Let w be v(10). What is the units digit of (-48)\/w*(-6)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 - 3*m**3 + m**4 + (-12*m**3 + 2*m**3 - 3*m**3)*(m - 14410 + 14410).\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10767 greater than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -1 + sqrt(1872)*-2 + -3)*-4)**2.\nAnswer: 768*sqrt(13) + 119824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 31314 and 0.2.\nAnswer: 6262.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 21 = -9*f. Let v(l) = 5*l**3 - 9*l**2 - 4*l - 9. Let r(q) = -6*q**3 + 10*q**2 + 4*q + 10. Let i(j) = f*v(j) + 6*r(j). Determine i(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 2872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35? (a) 42 (b) 3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70675507 to the nearest integer?\nAnswer: 8407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 10*d - 78. Let i be o(8). Suppose h + g = 490004, i*h - 4*h + 4*g = -979984. What is h rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(2)*2 + -3)*4.\nAnswer: -12 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2105016 and 14456.\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 13*i = 49. Is ((i - -145) + 1)*(-2)\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 0.1, -1219831.89?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (32 - 12)) + (3 - 3) + -12.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - 2 - -3)\/3. Let s = 3 + 2. Let j = s + -6. Which is the closest to o? (a) 2 (b) 5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3246424147.\nAnswer: 11003, 295049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((84\/42)\/((-1)\/(-2)))\/(-26)*-2?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 7:05 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -44. Suppose -4 = -4*s + v. Solve -5*j + 0*j - 2*u = -22, -j + s = 3*u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 36286, 72563, 108826, 145069, 181286, 217471?\n\"Answer: -n**3 - n**2 + 36287*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 211202000200 (base 3) in base 14?\nAnswer: b91b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(20\/6)*(-88)\/(-528)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.299 and -0.5.\nAnswer: -0.799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 1. Let u be d(-2). Suppose 8 = 3*f + f. Is (-18)\/u*5\/f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**2 + c + 6. Let q be ((-63)\/14)\/(24\/32). Let k(f) = 3*f**2 + f + 5. Calculate q*k(z) + 5*p(z).\nAnswer: -3*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sv when two letters picked without replacement from vsw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 544468 and 15721?\nAnswer: 108349132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 269*w**3 + 2*w**2 - 3*w - 2 wrt w.\nAnswer: 1614*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 1. Is r\/(-8)*148\/6 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 17*v**2 + 45*v + 28. Give b(14).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*(sqrt(152) + (sqrt(152) - (sqrt(152) + (sqrt(152)*-2 - sqrt(152)))) - sqrt(152)))\/(sqrt(48)\/(sqrt(6) + sqrt(96) - sqrt(6))))**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 + 2*j + 3. Let d be y(3). Suppose -3 = -3*x, d = -k + 3*x - 3 + 39. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 45036942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -19*v - 2*v + 23*v. Factor -1\/2*b**v + 1\/6*b**4 + 2\/3*b + 2\/3 - 1\/3*b**3.\nAnswer: (b - 2)**2*(b + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**7\/5040 + p**6\/1440 + p**4\/12 - 3*p**2. Let v(l) be the second derivative of j(l). Determine u so that v(u) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32846*b**3 - b**2 + 2*b + 5446?\nAnswer: 197076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y. Let k(q) be the second derivative of 0 - 13\/2*q**3 + 6*q + 0*q**2. What is k(g(m))?\nAnswer: -39*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/112*116\/(-29).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 932529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 47 = -46. Let q = 1857.83 + -1872. Let v = q + 0.17. Is z not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4231141?\nAnswer: 577, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3\/5 + 6\/5. Put 3\/7, -8, s, 2\/11 in increasing order.\nAnswer: -8, 2\/11, 3\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 359*u**2 - 1433*u**2 + 564*u**2 + 551*u**2.\nAnswer: 41*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1477385712.\nAnswer: 2, 3, 11, 181, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*i = 6113430 + 4383747. What is the ten thousands digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 533\/67 or 8?\nAnswer: 533\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhqhqhqqqhhhhh. What is prob of sequence hq?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q**2\/5 - 108*q\/5 + 112\/5 = 0. Calculate q.\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**4 - 42421463*h**3 - 167687683*h?\nAnswer: 24*h**2 - 254528778*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (36\/(-15))\/(3\/(-15)*1). Let s(l) = -l**3 + 12*l**2 + 2. Let p be s(d). Solve -2*c + 5 = -5*a + 3*c, p*a - 4*c = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 + 13)*2\/4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -345, -3239, -11103, -26421, -51677, -89355?\nAnswer: -141939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 879900349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -538*h**2 - 4*h**3 + 138*h**2 + 384*h + 172*h**2 + 188*h**2.\nAnswer: -4*h*(h - 6)*(h + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 5*g - 18. Let v be b(8). Let r be (-3)\/6 + (-369)\/v. Suppose 4*u - 2*u + 124 = 0. Is u > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/(4\/6)*(-76)\/99 and 121\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 507915537*n + 1012298443?\nAnswer: 507915537","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -8\/5*l**5 - 4 + 0*l**2 + 0*l**3 - 2*l + 0*l**4. Differentiate r(b) with respect to b.\nAnswer: -32*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) 2\/3 (c) 1\/2 (d) 2437 (e) -4 (f) -0.3 (g) -140\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*l - t + 15, -2*l - 3*t = -32. Let s = -8 + l. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.37403kg in milligrams?\nAnswer: 33374030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5094191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**0\/((q*q**(1\/23))\/q)*((q*(q**(2\/9)\/q)\/q)\/q)**(-1\/22) assuming q is positive.\nAnswer: q**(85\/2277)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 10*v**2. Let p(i) = 32*i**2 - 11*i + 50. What is p(d(r))?\nAnswer: 3200*r**4 - 110*r**2 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffq. Give prob of sequence ff.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 200 - 172. What is the greatest common factor of 182 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 200 and 120?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 169 and 299?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-31)\/(-3) + (-4)\/(-6). Suppose 5*z - 259 = 4*u + 590, -3*z - u + 489 = 0. Calculate the greatest common factor of k and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 42\/20 - 22\/(-55). What is the nearest to -0.1 in f, -4, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 12*w - 10. Let o be f(8). Suppose -10 = 2*v - o. Let y be 35494\/(-10) - v\/10. Round y to the nearest one hundred.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*o + 16 = 40*o. Let y be (o + 3)*((-2 - -1) + -2). What is the common denominator of (y + -5 - 1)*(-146)\/36 and 11\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 i, and 1 z when four letters picked without replacement from {u: 9, i: 3, f: 2, z: 2}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwd when three letters picked without replacement from dpjwpwjpwwwjdqw.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.08 from -1180761.3.\nAnswer: -1180761.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4145*d + 513972. What is i(124)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*o = -21*o - 220. Let h be (-14)\/(-6) - (165\/15 - o). Is 10.5 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence auju when four letters picked without replacement from uujjajau?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 21*q**3 - 45*q**3 + 11*q**3.\nAnswer: -55*q**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -6\/6145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-418)\/(-4) - (-1)\/(-2). Suppose 11 + k = -5*l. Let p = l - -26. Solve -5*c + 13 = p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 38\/(2 + -2 - -1). Let m = b - 34. Suppose -4*n + 3*y = -25, -2*y = m*n - 0*n - 10. Solve -4*s = n*o - 2*o + 10, -4*s = 4*o + 12 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 7*q - 49 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 11:42 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 161099611 to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/16, -11, 4, -5, -2 in decreasing order.\nAnswer: 4, -1\/16, -2, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 114 and -3.511?\nAnswer: 117.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1985 or -21?\nAnswer: -0.1985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**2\/17 + 820804*j\/17 + 17237766\/17 = 0.\nAnswer: -21, 410423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 439800?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 o, and 1 w when four letters picked without replacement from {w: 1, o: 1, p: 1, c: 1, r: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 7\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-17)*-3*(-6)\/108. Which is the second smallest value? (a) -2\/5 (b) 2 (c) r (d) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + 3. Suppose w = q + 4. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**7\/84 + y**6\/6 + 3*y**5\/40 - 9*y**4\/4 - 90*y - 11. Find s, given that n(s) = 0.\nAnswer: -9, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3458607353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*r + 43 = 0, 4*w - 4*r - 48 = 5*w. Let l = -21 - w. Calculate the highest common divisor of 35 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 1 (b) -2\/11 (c) -3\/5 (d) -0.4 (e) 10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + o + 1. Let d(b) = 2*b**3 - 2*b**2 - 9*b - 1. Calculate d(g) + 2*n(g).\nAnswer: 2*g**3 - 7*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 13*f + 0)*(-3*f**2 + 5*f**2 + 5 - 2).\nAnswer: -26*f**3 - 39*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -22*8\/84*3\/2. Which is bigger: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of q**3 + 81. Let f(h) = -1. Let j(b) = 2*b - 8. Let g(p) = 8*f(p) - j(p). What is y(g(w))?\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289*w**2 - 146*w**2 - 149*w**2.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 z, 1 b, and 1 j when four letters picked without replacement from nbznzbbbzbjbzzbb.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 721098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 64a (base 14) in base 8?\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5384183, -10768364, -16152543, -21536720?\n\"Answer: i**2 - 5384184*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 28*f**3 + 415*f**2 - 72*f + 33. Determine o(-15).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 668\/10 + (-54)\/(-45). Suppose -6*f = -40*f + x. Suppose -3*y = -5*q + 2, 4*q - 7 = -0*y - 3*y. Solve f*o - q = -5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bnccgtc. What is prob of picking 1 t, 1 n, and 1 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + r**2 - 3*r + 4. Let j(k) = -4*k**2 - k. Let l(i) = -i**3 + 5*i**2 - 6*i + 5. Let t be l(4). Let v = t + 2. Let z be j(v). What is q(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 3*(-3)\/(-9)*-5. Suppose 49*u - 47*u + 3*m = -6, 5*m + 10 = d*u. Solve -2*j + 6 = -u*j, 3*j - 7 = -2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -82 - 24 - 57) + -20?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -96841 - -161982. What are the prime factors of m?\nAnswer: 65141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -378034*n**4 + 464*n**2 + 6*n + 2 wrt n?\nAnswer: -9072816*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1681800?\nAnswer: 2, 3, 5, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.996 - -0.004. Let x = 114 + -1028\/9. What is the closest to x in -8, z, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -7. Let w(t) = t**2 - t. Let b(f) = 3 - 11 - 3*f**2 + 2*f - 8*f + f. Let k(j) = s*b(j) + 5*w(j). What is the derivative of k(y) wrt y?\nAnswer: 16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570 is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1.09477 * 534\nAnswer: 584.60718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7*u + 7 + 2*u + 0*u - u**2. Let d = -1 + -4. Calculate q(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of 0 + 5*m**2 + 9\/4*m**4 + 1\/60*m**6 + 0*m - 9*m**3 - 3\/10*m**5. Let v(o) = 0. What is o?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3931 * 1991.\nAnswer: 7826621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**3 + 5*z**2 + 5*z - 7. Let w(x) = -4*x**3 - 4*x**2 - 4*x + 6. What is -4*q(d) - 5*w(d)?\nAnswer: 8*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000099944242 to seven decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-99)\/(-27))\/11)\/((-2)\/(-90)). What is the common denominator of (-111)\/20 - (-12)\/d and -81\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154481595?\nAnswer: 3, 5, 10298773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-356)\/(-356))\/(2\/(-16)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129, -514, -1157, -2058, -3217, -4634, -6309?\nAnswer: -8242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 + 69*h. Let i(p) = -p. Give d(i(q)).\nAnswer: 2*q**2 - 69*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h**2. Suppose 3*t - 2 = 2*t. Let x(l) = 3*l**t - 5*l**2 + 234 - 234. Determine x(o(r)).\nAnswer: -72*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5325709 is divided by 80?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -2)\/3*9. Suppose 5*r + 4*d = 106, 3*r + 4*d - u*d - 58 = 0. Calculate the greatest common divisor of 72 and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**4)\/(z*z\/z**(-7)))\/(z**(-5\/6)*z**(-2\/19)) assuming z is positive.\nAnswer: z**(-1261\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 5. Suppose -2*x + 10 = 5*i + x, 3*i - 2*x - 25 = b. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -25*d - 28. Let r be g(-1). Let k = 39.03 + -39. What is the nearest to 3 in -2, r, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*l + 45. Let x = l - 312\/7. Suppose -b + 3 = -2*h, 5*b = -4*h + 2 - 1. Is b smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*k = 43, -5*w - 5*k + 59 = -6*k. Let m(v) = 7 - 16 - 2*v + w - v**2. Let o(b) = -b. What is m(g) - 4*o(g)?\nAnswer: -g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 3*p - 9 = 0, 3*f + 500*p + 12 = 502*p for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3168)*4 + sqrt(22))*-1)\/(sqrt(200) + 6*(sqrt(200)*2 + sqrt(200))))**2.\nAnswer: 26411\/36100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 3:53 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, y: 2, z: 1, k: 1}. Give prob of sequence xxk.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - g + 8 = -3*w, -4*g = -w - 23 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.477 plus -1.47?\nAnswer: 1.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12104869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100011100100100001 (base 2) to base 5.\nAnswer: -101022331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2323 + 1124?\nAnswer: -1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36412*l + 36303*l + 3052 = 0 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/69 and 58\/2007?\nAnswer: 46161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*u + 0*u + 3*u + (-7 + 4 + 2)*(2 - 2 + 2*u) - 14*u - 134 + 134)*(u + 0*u + 0*u)*(0 - 2 + 3) + u**2 - 2 + 2.\nAnswer: -12*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 476 - 478. Put -12, -3\/7, -0.5, w in descending order.\nAnswer: -3\/7, -0.5, w, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 12:30 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 13*w**2 + 54*w - 103. Calculate the remainder when p(14) is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - k - 6 = -3, -z = -2*k - 12. Let b(v) be the third derivative of -5\/24*v**4 + 0*v + 0 - 1\/6*v**3 + 4*v**z. Differentiate b(d) with respect to d.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18708c (base 14) to base 9\nAnswer: -1556757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/12*107\/((-11556)\/48).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -1\/20*m**5 - 1\/3*m**3 + 1\/120*m**6 + 0 - 2*m**2 + 0*m - 1\/4*m**4. What are the prime factors of g(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4360462 rounded to 3 decimal places?\nAnswer: 5.436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40640.\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 1:43 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55016\/6877)\/(24\/(-441))?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 167156995?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o**3 - 44*o**2 + 10*o - 15. Let a be i(9). Which is smaller: a or 164?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15 - 661*a - 6 + 21)*(-9 - 21 - 74) in the form k + t*a and give t.\nAnswer: 68744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*s = 4 - 80 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -324151575*l**2 - 701047283*l wrt l?\nAnswer: -648303150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -42*f + f**2 + 67*f + 24 + 81 - 53*f. Is 22 a factor of m(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 48680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 380*j**3 + 10*j**2 + 2 - 1 + 0 - 2*j - 384*j**3 in the form i*j**2 + f*j + g*j**3 + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r + 5. Let l(s) = 4*s + 3. Calculate -2*d(k) + 3*l(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3\/4 - 114*l**2 + 54751*l + 109956 = 0. What is l?\nAnswer: -748, -2, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/23 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 12*c - 17. Let s be k(5). Suppose -19 = -2*y + 2*d + 3*d, s = 3*y - 4*d. Solve y*w - 5*w + 9 = -2*i, 2*i - 21 = -3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 8:22 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8034114187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 1. Let s be (t\/(-12))\/((-1)\/(-2)). Let j(z) = 20*z - 60. Let k be j(3). Is s less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nynn when four letters picked without replacement from nnnynnynnnnnn?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 157627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -57, -71, -85, -93, -89, -67, -21, 55?\n\"Answer: b**3 - 6*b**2 - 3*b - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19014844 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2)*(5*t**2 - 2 + 2) + t**2 - t**2 - 2*t**2 + (-1 - t + 1)*(3*t + 0*t - 5*t) + 0*t + t**2 + 0*t + 2*t**2 + 5*t**2 + 0*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 4:21 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/8*-4 + 1\/21. Let l = u + -1\/21. What is the third biggest value in 1, -1\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -67\/1084 = -112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0094198 to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3157 and 45675476?\nAnswer: 3157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-38)\/(-8)*14\/(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.22698 + 1496714787\nAnswer: 1496714787.22698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3508801?\nAnswer: 149, 23549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7222*o + 3609*o - 6*o**3 - 34 + 3602*o wrt o.\nAnswer: -36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 920 (b) 1\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -3\/11, -1.0312264?\nAnswer: -1.0312264","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + -0.35. Let h = 0.05 - j. What is the third smallest value in h, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 2:06 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/24 + (-17)\/(-4). What is the third derivative of 4*r**5 + 0*r**2 - f*r**2 + 2*r**2 wrt r?\nAnswer: 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c = -5*y + 25, -5*c + 20 = 4*y. Suppose 7*h - 3487 + 470 = c. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20377.985 - -20378. Which is greater: m or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 45 = -5*o, 0*o = -4*c - 2*o + 26 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.01 - -0.29. Let x = b + -2.9. Let h = 2.59999984 + x. Round h to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -97214 or -97245?\nAnswer: -97214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -299 + 1195\/4. Let z(c) = -c**2 + 5*c. Let m be z(4). Suppose m*r - r = 0. Sort -5, i, r in descending order.\nAnswer: r, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -314.\nAnswer: -1570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -508411.682 to the nearest 10000.\nAnswer: -510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2 + 1 = -y, 0 = -4*l - 16. Suppose 3*w - 1 = 2*q + y, -12 = 3*w. Find the common denominator of (-50)\/8*15\/q and 113\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18870 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -199249 and 0.011?\nAnswer: -2191.739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -389, 9\/28, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1530?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-7)\/315)\/((-4)\/(-10)))\/((-47)\/3196*-629).\nAnswer: -2\/333","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -105*t**3 + 67*t**3 + 81*t**3 - 78 - 2*t wrt t.\nAnswer: 258*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*s**3 - 8*s**3 + 0*s - 5*s**3 + 4*s**4 + 2*s in the form u*s**3 + g*s**2 + t + x*s + b*s**4 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 33 = a, -5*s + 3*a = 6 - 35. Suppose i + 0*i = s. Suppose -4 = -3*k + 2. What is the smallest common multiple of k and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 174, 347, 520, 693, 866, 1039?\n\"Answer: 173*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*g - 3 + 25*g + 2 to the form o*g + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) -2 (b) -3 (c) 7 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 594208141?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1032, 26, 4.\nAnswer: 4, 26, 1032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 169 * -0.2.\nAnswer: -33.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(320\/230)*-4.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 5 = 5*p. Let w = p + 9. Suppose 44 = 5*l - w. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v - 3. Suppose 4*w = -2 - 2, -5*j + 4*w = 21. Calculate o(j).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81\/67 - 863\/603. Let f = 4 - 1. What is the closest to q in -0.1, -3, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1793)\/(-66))\/((-1)\/(-6)) - -1. Let r = t - 158. What is the remainder when -3*(1 + -10 - 0) is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 33 + 29 - 119 - 15*y + 28 + 24. What is c(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -179 + 175. Let z be (-15)\/(-20)*q + 2. Let d = 31 - 49. Which is greater: d or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 72?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95 + 75 + -5 + 13.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 194, 393, 606, 839, 1098, 1389, 1718, 2091?\nAnswer: 2514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -0.3, 4, 3, 30 in decreasing order.\nAnswer: 30, 4, 3, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**4\/4 - 9*d**2. Let q(a) = -20*a + 238. Let i(v) = 2*v - 17. Let c(g) = -70*i(g) - 5*q(g). Give c(w(y)).\nAnswer: 240*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000150103108 rounded to 7 dps?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101151764 to the nearest integer?\nAnswer: 10057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*k**4 - 24*k**4 - 23*k**4 + (2*k + 4*k - 4*k)*(k**3 + k**3 + 0*k**3) - 2 + 2 - 5*k**4.\nAnswer: -22*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 416 + -81. Let u = 785 - p. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27.154 + 1275560.\nAnswer: 1275532.846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 45. Suppose -r + 5*j = -p, -5*r + 3*j - j + 54 = 0. What is the third derivative of r*l**2 + 4*l**5 - 9*l**5 + 6*l**2 wrt l?\nAnswer: -300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 4*i - 51808 = 45681. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(128) + sqrt(128) + -1 - (-3 + 2*sqrt(128) + sqrt(128)))**2.\nAnswer: -32*sqrt(2) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30829 by -3398.\nAnswer: -30829\/3398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 60 = 25. Suppose -x*i + 1089 = 2*i. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 6. What is the units digit of (18 + z + -3)*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40270437?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1256942 is divided by 4148?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -50.51 and 18432.809.\nAnswer: 18382.299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15397321.\nAnswer: 15397321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxw when three letters picked without replacement from iiiiwwkkxwwkwwwwii.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -2. Suppose w*y - 55 = 5*y. Let c be 51\/264 + (-2)\/y. What is the nearest to 3 in 2\/7, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (630\/48)\/((-176)\/704)*-2?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**5\/20 + 7*q**4\/6 - 5*q**3\/2 - 11*q**2\/2 - 3*q + 7. Calculate d(-15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5051 greater than or equal to -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75961847 is divided by 4674?\nAnswer: 4673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 362708470326 and -0.166.\nAnswer: 362708470325.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 26*c - 24.\nAnswer: -2*(c + 1)*(c + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.1 + 16.1. Let v = 25 - i. Let m = -16 + v. What is the third smallest value in -0.1, 4, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 8:20 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**3 + 9*w**2 - 342 + 362 + 9*w**3 - 5*w. Let n(m) = 3*m**3 + 4*m**2 - 2*m + 10. What is 9*n(a) - 4*x(a)?\nAnswer: -a**3 + 2*a + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 263.54 + -317.7. Let j = s - -54. What is j rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (98\/(-56))\/((-13)\/52).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2838342893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*4\/100*5.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 6 + 4*p)*(590*p + 484*p - 361*p) as q*p + l + r*p**2 and give r.\nAnswer: 2852","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 2*f + 1. Let b be s(0). Let d(x) = x - 4. Let w be d(3). Let u = 2 - w. Are u and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 4:10 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126\/108 - (8\/12 - 1).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5*c**2 - 4. Suppose 0 = -30*a + 175 - 55. Let u(x) = -9*x**2 + 7. What is a*u(q) + 7*d(q)?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000468791 rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 11*q. Let t be j(11). Let v = -4 - -10. Suppose t = 3*u - v*u + 18. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*l + 40*l = -5*b - 146, l = -14*b - 390 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-3\/5)\/z)\/z*z)\/z**(5\/3)*(z**(-1))**17)**(-4\/17) assuming z is positive.\nAnswer: z**(1216\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t + 15 = 0. Suppose -u = -t*u. Solve -a + 1 = u, 0 = -4*g - a - 0*a - 11 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, i: 1, d: 1}. Give prob of sequence isds.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/7 + 80\/(-14). List the prime factors of 32\/18 - d\/27.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b - 451c0?\nAnswer: -451cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -21\/19184?\nAnswer: -21\/19184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9332.\nAnswer: 2, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -85275 (base 14) to base 3\nAnswer: -121100002000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11553 divided by -4.\nAnswer: -11553\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 7*g - 5*g. Suppose g = -5*f + 2*f + 261000. What is f rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 188053, 376109, 564163, 752215, 940265, 1128313?\nAnswer: 1316359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -5\/8, 2, 15 in decreasing order.\nAnswer: 15, 2, -1\/3, -5\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 52.69076 minutes?\nAnswer: 3161445600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5137 - 5130. What is the nearest to -2 in 0, i, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3321233222 - 331?\nAnswer: -3321300213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*p + 4*q - 24, 4*p - 4*q + 16 = 0. Let o = 5895 + -5895. Solve o*l - p = -l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {l: 3, r: 1, p: 2, t: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-five quarters of a micrometer?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/5 - 476*g\/5.\nAnswer: 2*g*(g - 238)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 - 4. Let o be (4 - (0 + 4)) + 0. Suppose -4*i + 2*w = -o*i - 72, w = -4*i + 84. What is the remainder when h(-9) is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-4)\/(-8)*(-12)\/(-105)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 337 + -530. Let a = 49 + u. Let q be -3 + 3 + a\/(-1). Calculate the greatest common factor of 16 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**2 + 284*v + 280. Let n(s) = s**2 - 143*s - 140. Let u(a) = 4*h(a) + 7*n(a). Find j, given that u(j) = 0.\nAnswer: -1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**4 - 4*y**4 + 3*y**4)*(-3*y + 30*y + 26*y).\nAnswer: -106*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -309\/760 + 3\/95. Let j = 0.3 + -0.2. What is the nearest to j in -3, 0, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, -21, -94, -239, -480?\nAnswer: -841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 311966197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -83\/3 + 28. Which is the second smallest value? (a) 2 (b) -3\/2 (c) -0.4 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-3*sqrt(156))\/sqrt(12))**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 3 + 3 - 3*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 2. Let w be v(6). Let i = w + -4. Does 7 divide 1\/2*104\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4e166 (base 15) in base 8?\nAnswer: 750327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, 18, -56?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 19 + 0)*(8*d + 5*d - 6*d)*(0 - 3 - 2) to the form l + x*d and give x.\nAnswer: 805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2954260 divided by 68.\nAnswer: -43445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/18*((-198)\/9)\/11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(2\/1 - 1). Let o = 37570253\/22033 - -730\/2003. Let x = o + -1707. Is x > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 20 + 13 = 0. Suppose 0 = 3*a + 3*t - 36, 119 - 162 = -3*a - 4*t. Solve n + 2*z - 15 = -3*z, -a*n - o = -2*z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/1*4\/(-40)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 12*g + 3. Let j be p(-8). Suppose 750 = 5*h - 5*i, h - 4*i = 6*h - 795. Suppose w - o = 41 + j, -2*w + h = -o. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 9*v**2 - 11*v + 1. Calculate the least common multiple of 2 and c(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of g**7\/210 + g**4\/4 - 2*g**3\/3 + 1. Let w(y) be the third derivative of p(y). Find the first derivative of w(d) wrt d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29996 is divided by 14977.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1408) + sqrt(1408) + sqrt(1408)*3 - (sqrt(22) + (sqrt(110)*3)\/sqrt(5)))\/(-1*sqrt(704) - sqrt(704) - sqrt(891)*2).\nAnswer: -18*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -197*p**3 + p**2 + 2*p + 2. Suppose 3*w = -w - 4. Let c be r(w). Suppose c = -5*y + 8*y. Round y to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 46961 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 18. Calculate the least common multiple of y and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2231 + -2230. Calculate the remainder when 30 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29359?\nAnswer: 11, 17, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*sqrt(78) + (-1*sqrt(78)*2 - sqrt(78)))\/(-2*sqrt(6)*5 + sqrt(6) - (sqrt(384) + sqrt(6))).\nAnswer: 7*sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1329\/16 (b) 7 (c) 0.1 (d) -0.5 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 16 - 16 - 15 + 19*s**2 - 162*s**2.\nAnswer: -143*s**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 444690 divided by -90\nAnswer: -4941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*c + 496*c = -507*c + 148*c - 39040 for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*z = 11, -p = -4*z - 3 - 8. Suppose 0 = p*d - 3*k - 12, 2*d - 6*d - 4*k = -40. What is the second derivative of 59 + l - d*l**4 - 59 wrt l?\nAnswer: -84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -7. Let p be r\/22 + (-64)\/11. Let l = 11 + p. Solve 4*j = 5*h - 0 + 4, 3*h + l*j = 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -111?\nAnswer: -333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/279186 and 41\/11594?\nAnswer: 52207782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2 - 1058*s + 25200 = 0. Calculate s.\nAnswer: 25, 504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 133356160 by -1360.\nAnswer: -98056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32.465503 and -1.3.\nAnswer: 42.2051539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**4 - 174814*z**3 - 6291360*z**2 - 56618136*z - 150977088 = 0.\nAnswer: -87371, -24, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 3. Let q(t) = 3 - 819*t - 5 - 19 + 825*t. Give -15*j(v) + 2*q(v).\nAnswer: -3*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddnwnndd. What is prob of sequence wnn?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (-4)\/(12\/(-1113)). Suppose x = 3*p - m + 134, -236 = -3*p + 2*x. Calculate the least common multiple of p and 8.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1270 - 739. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 3*z**2 + 6*z + 4. Let i(x) = -2*x**3 - 5*x**2 + 13*x + 9. Let w = 6 - 3. Let u(s) = w*i(s) - 7*f(s). What are the prime factors of u(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -850759 - -850758. Let g = 0.17 + 2.75. Let l = 3 - g. What is the second smallest value in -2, 0.3, l, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1332349\/2436 + 16394\/29. Let d = 128\/7 - m. Find the common denominator of 89\/12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 8) in base 11?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 846 + -818. Let j(w) = -8*w**3 - 28*w. Let a(u) = -u**3 - 3*u. Let m = 28 + -31. Determine m*j(d) + s*a(d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 24 - 4. Calculate the smallest common multiple of a and (4 + (-35)\/7)*-12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 264 + -264. Suppose s = -3*n - 5*j, 3*n - 4*n = 5*j. Solve 4*t - 4 - 8 = n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 3 + 1\/2*r**2 - 3*r. Let i be x(7). What is the greatest common factor of 10 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 216708338?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1198355 and 760.\nAnswer: 182149960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 - -0.1. Let g be ((-1)\/14)\/((-42)\/24 - -2). Which is the third biggest value? (a) o (b) -1\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.2 (b) 0.01 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -681*v + 34. Let b(f) = 225*f - 10. Give 10*b(s) + 3*o(s).\nAnswer: 207*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142288, 142286, 142284?\nAnswer: 142282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 3 - 9\/2*y - 3\/2*y**2 + 1\/2*y**3. Determine z so that q(z) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of d**6\/420 + 4*d**5\/35 - 9*d**4\/7 + d**3\/3 - 19*d**2 - 4*d + 5. Let m(l) be the second derivative of w(l). Factor m(s).\nAnswer: 6*(s - 2)*(s + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4066069?\nAnswer: 7, 82981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3*l + 5*w = -40, -w = 4*l - 58. Let z(p) = p**3 - 14*p**2 + 30*p + 13. Let s be z(11). What is the smallest common multiple of 20 and 3\/(-2)*s\/l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 5 - (5 + -1 + -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 5*h - 142 + 702, -4*h - 551 = -5*i. Suppose i = -2*y + 5*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/7? (a) 0.02 (b) 4 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-4 + -11 + 10 - -22) + -35.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100100011100 (base 2) to base 14.\nAnswer: 6b6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -309205*a + 309197*a - 191 - 864 to o + v*a and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -57*y - 22. Let k(r) = -284*r - 122. Determine -11*d(l) + 2*k(l).\nAnswer: 59*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 80, 113, 180, 293?\nAnswer: 464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 106 (base 7) to base 10\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -4*h**3\/3 + 219. Let j(u) = 106*u - 42*u - 13*u - 23*u. Calculate j(p(y)).\nAnswer: -112*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 465*i = 493*i - 112 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(117)*2 - sqrt(117)) + -1 + sqrt(117) + 5.\nAnswer: -9*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 1 - 1 + (3 - 3 + 2*s)*(3 - 6 + 1) + 2*s - s - 3*s - 7*s - 3 + 1 + 15*s)*(-3 + 7 - 2)*(-6*s**3 + 6*s**3 - 7*s**3).\nAnswer: -56*s**4 + 28*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 121022001100 (base 3) to base 13\nAnswer: b3028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*j - 1852 = -211*j + 2131 + 1346 for j.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s\/(s\/(s*s\/s**(-2\/17))))**(4\/23))**(-36) assuming s is positive.\nAnswer: s**(-10080\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -8*a + 13. Suppose -3*n + 3*h + 22 = a*n, h = -3*n + 2. Is 11 a factor of ((-1)\/(-2))\/(n\/164)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*k*o**3 + 11*k*o**2 + 219*o**3 wrt k.\nAnswer: -6*o**3 + 11*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0578 + -38.2422. Let j = 40.71 - 0.71. Let o = m + j. Round o to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4 + 20*g**3 - 475*g**2 - 990*g.\nAnswer: 5*g*(g - 9)*(g + 2)*(g + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(-4)*3538\/87*358?\nAnswer: 61, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4f (base 16) in base 3?\nAnswer: -2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2332062)\/(-31820))\/207 - (-6)\/(-20).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2 - 41*u + 18212 = 0. Calculate u.\nAnswer: -157, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 52037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 56\/10 - 2\/(-5). Suppose 3*r - g + 0 = 0. Suppose 2*a - 48 = 4*z - r*z, 5*z = 2*a - 42. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 213010, 426027, 639040, 852049?\nAnswer: 1065054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d**3 + 7343*d**2 - 306*d = 0. Calculate d.\nAnswer: -306, 0, 1\/24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 5 (c) -1 (d) -2\/107\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 7*c**2 + 7*c + 6. Let v be b(-4). Let j be (1\/(-1))\/((-2)\/v). Suppose 0 = -r + 5 + j. What is the greatest common factor of r and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 382*z = 381*z - 32, -4 = -2*p + 2*z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 5*w**2 + 5. Suppose 26 = -2*k - 3*f, 3*k - 5*f + 1 = -19. Let r = -7 - k. Let u(c) = 3 - 4*c**3 + 3*c**r + 0 + 3*c**2. Give -5*u(l) + 3*y(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -0*o - 7*y + 751 - 762, -2*o - y + 7 = -6*y for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/5)\/(24\/(-50)). Let y be (42\/9)\/((-364)\/354 + 1). Let r = y + 165. Which is the biggest value? (a) 2 (b) r (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -401 + 400.5. Which is the closest to -1? (a) 0.2 (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2098, 8574, 19320, 34300, 53478, 76818, 104284?\nAnswer: 135840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -194b (base 12) to base 5\nAnswer: -44313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.8+260581247\nAnswer: 260581246.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/p**22*p*p**(3\/11) assuming p is positive.\nAnswer: p**(-217\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -21*d + 269. What is w(12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.717624kg in milligrams?\nAnswer: 7717624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 12 = 3*r, 0 + 4 = 5*p + r. Suppose p = 2*i + 2*a + 6, -2*a = 5*i. Suppose 24 + 6 = i*u. Solve -c - 4*c = -u for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 64*p**2 + 2*p - 2. Let i be r(2). Let d = -143 + i. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 127*b**2*d - b**2*h*w + b**2*h + 2*b**2*w - 29*b*d*h*w + 3*b*d*w + h - 60*w wrt d.\nAnswer: 127*b**2 - 29*b*h*w + 3*b*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 952606653.\nAnswer: 3, 2857, 111143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*b. What is b rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24813931*x**4 + 6423246*x**2 + 1 wrt x?\nAnswer: 595534344*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 8*s**2 + 103*s + 78. Let h be a(-12). What is the closest to -0.1 in 0.07, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 12*d - 19. Let o(z) = 11*z - 20. Give 2*m(s) - 3*o(s).\nAnswer: -9*s + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -294 - -834. Suppose -7*c - 2*c + d = 0. List the prime factors of c.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 6)*(-6)\/5. Let w be (m\/(-8))\/((-13)\/15184). What is the units digit of w\/(-22) - 10\/(-55)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -64955.098819 + 64955. Let q = 0.099 + v. Round q to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.59 times 165298\nAnswer: -262823.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (17 - 16) + (0 - -1)*-2. Let n be ((-6)\/9)\/(q\/9). Let h(k) = -k**2 + 4*k + 7. Give h(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -510860 divided by 89?\nAnswer: -5740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-4))\/(2\/4). Let y be (6\/(-2))\/1*(-128)\/(-192). Put y, 4, t in increasing order.\nAnswer: y, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - i + 0*i + 0*i**3 - 2*i**3 - 7 to z*i**2 + a + c*i**3 + k*i and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 30*y**2 + 15 + 21*y**2 - 1354*y**3.\nAnswer: -1354*y**3 - 9*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q + 156539 = -13*q + 2*w, -3*w - 156534 = -3*q. List the prime factors of q.\nAnswer: 3, 17393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 366043 and -39392.\nAnswer: 326651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39745 is divided by 35.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12667.999 - 12695. Let n = v - -0.001. Let z = n - -27. Which is greater: -17 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -31, -43, -37, -7, 53, 149?\n\"Answer: v**3 + 3*v**2 - 28*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 4)*(-18*i - 2101 + 1047 + 1042) to q + v*i and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*r - 7182 = 714*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -552490550 - -552490619.0000066. Let k = -0.095 + -68.905. Let b = l + k. What is b rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k - 3. Let j be f(-2). Find n such that 0*n**3 + n**4 - 5*n**3 + n**3 + 2*n**j - 3*n**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266*g - 179 = 87*g. Which is smaller: g or 3\/2179?\nAnswer: 3\/2179","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -878.4 + -105632\nAnswer: -106510.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3633453415.\nAnswer: 5, 41, 109, 113, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, f: 3, a: 4, d: 4}. Give prob of picking 2 f, 1 m, and 1 d.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: What is the remainder when 35 is divided by 15\/(-5) - 66\/(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfxpoxbf. What is prob of sequence lx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47900567 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8561 or 5758?\nAnswer: 8561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1361\nAnswer: 2\/1361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 61 - 52 + 23 = 0. Solve -5*b = x*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = f - 3*f. Suppose 0*a + 2*a + 22 = f*p, -3*p = -5*a - 34. Suppose b = -p*n + 23, 4 - 2 = -2*b. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 13 - 211 = -m, -4*m = 4*k + 244. Let j be 1\/(-2 + k\/(-28)). What is the greatest common factor of 224 and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 16*x**2 - 33*x + 4. Let a be h(14). Let u = 6 - a. Does 17 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 3 (b) 2\/5 (c) -103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3311 and 100749.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 3*v - 6*v - 128, 0 = -2*g - 3*v + 68. Suppose -2*u = -3*u + 5*r + g, 7 = -u - 2*r. Suppose -2*l + u*l - 25 = 0. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -11*l**3 + 7*l**2 + 112*l - 117. What is s(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q\/(q*q*q\/(q*q*q**(3\/10)*q*q*q)*q))**(-1\/4) assuming q is positive.\nAnswer: q**(-43\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**4 + t**2 - 4*t**4 + t + t**4 - 1 + 2*t**3 - 3 in the form v*t**2 + d*t**4 + s + p*t**3 + b*t and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -371*v**3 + 90 - 284 + 93 + 101 - 7*v as x*v**2 + m*v**3 + j*v + a and give m.\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 3, -26, -77, -156, -269, -422?\nAnswer: -621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3079503 and 1421.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -38047, 8372, -3\/8 in descending order.\nAnswer: 8372, -3\/8, -38047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2)**(4\/25))**1 assuming x is positive.\nAnswer: x**(8\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/6 and 20\/8*21\/(-12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r - r**2 - r)*(-9 - 5*r + 9 + (0*r + 3*r - 2*r)*(-4 + 2 - 10 + (0 + 0 + 1)*(2 - 1 + 2))) to q + s*r**2 + g*r + d*r**3 and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 0, 1 in increasing order.\nAnswer: -2\/9, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 17 = -3*z, 3*l = 4*z + 3 - 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/50*(-30)\/81?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -91, 3, 797045.\nAnswer: -91, -2, 3, 5, 797045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - 1. Let x(z) = 8*z**2 - 2*z - 14. Determine -6*k(n) + x(n).\nAnswer: 2*n**2 - 2*n - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 913583 and 506?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 3, -1\/22, -5.9, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-30) + 15\/(225\/32). Suppose 6*o = -j*o + 24. Which is the closest to -1\/2? (a) -1 (b) o (c) 1\/4 (d) -3.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -117, -1, 4, 2, -3, -15728, 0 in ascending order.\nAnswer: -15728, -117, -3, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5289621335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*i = 291 - 501 - 450 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 32. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9954109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heehehehfeeeefeeheee. Give prob of picking 2 e.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1464*(-4 + (-8)\/4). Calculate the remainder when (-5)\/2*(f\/(-45))\/(-4) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4061 > 1\/90?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 11 = 2*v - 5*n, 5*v - 126 = -2*n. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*a + 19*a + 50*a - 690531. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**3 + 4*v**2 - 4*v - 5. Let i(s) = -3*s**3 - 7*s**2 + 7*s + 9. Let q be 22\/(-4) - 3\/(-2). Give q*i(c) - 7*a(c).\nAnswer: -2*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 2\/7 (b) -1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.9 (b) 5\/6 (c) 2\/9 (d) -0.3 (e) -14\/3 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 374100 or 373755?\nAnswer: 373755","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001469527 rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 443 + -446. Let p = -60 + 475\/8. Let m = 3\/8 + p. What is the second biggest value in -0.2, m, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 6*r - 1650000 = 0. What is r rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/(-21) - 304\/(-24). What is the highest common factor of h and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*j**2*t + 285*j**2 + 3*j*t + 1011*t wrt j?\nAnswer: 8*j*t + 570*j + 3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -99 * -88.63.\nAnswer: 8774.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*i - 6*i + 42855 + 257520 = 0. Calculate the greatest common divisor of 1375 and i.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 3*b - 2 + (6*b - 2*b - 2*b)*(4 - 5 + 4) - 2*b + b + 0*b + (b + 4*b - 2*b)*(4 - 3 - 2).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -2\/57, -2, -0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 8496*s + 17008.\nAnswer: -4*(s - 2126)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**3 - x**2 - 4. Let r be u(0). Let h be -3*(7 + -5)*r. Let d = 127 + 41. What is the highest common factor of h and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 h when two letters picked without replacement from oafeeeh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*1004\/(-16)*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/7)*y**4*y)**(-25)*y\/y**(-7\/4)*y*y*y\/(y\/y**(-2\/23)*y)*y*y*y\/(y*y**8)*y*y**(-2\/17)\/y assuming y is positive.\nAnswer: y**(-1278073\/10948)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12478 (base 9) to base 7.\nAnswer: -33350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 7:46 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 3:39 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 divided by 355?\nAnswer: 38\/355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 46*r**2 - 61*r + 2829. Calculate a(46).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4062279ml?\nAnswer: 0.0004062279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 53*t - 7118. Let g be z(-62). Solve -24*c = -20*c + g, 0 = -4*n + 4*c - 8 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -289*o = -294*o. Solve o = -2*t - 8 + 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -124 - 170. Let p = q - -422. Calculate the highest common factor of 16 and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 o, and 1 z when three letters picked without replacement from oonpcoozzoz?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/492 and 71\/246.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4626\/41634 - (-26)\/9)\/(-1 + 8\/(-6)).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -0*r + 25. Suppose u - 3*v = -v + 49, 5*u = r*v + 235. Is 13 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*z + 7 = 0, 24*n - 21*n - z = 0. Let r be 32\/14 - 4\/2. Which is the closest to -2? (a) r (b) -4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - 9 - 9 - -15?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2069868517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 12 = 2*n + 23, 11*b + 11 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -246766 + -331?\nAnswer: -247317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/7)\/((-1)\/2). Suppose 198 - 198 = d. What is the smallest value in -5, d, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -58 by -58.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, p: 9}. Give prob of picking 4 p.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 33 - 0\/1 - 3. Suppose i + z = 4*i. Suppose -147*y - 36 = -82*y - 77*y. Solve y*s - 2 = i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f - 4. Let w be 3\/(15\/30*6\/5). Let i(a) = -a - 7. Give w*x(d) - 3*i(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (o - 3694 + 1990 + 2271)*(0*o + 5*o - 3*o) as b*o + x + t*o**2 and give b.\nAnswer: 1134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/16 of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + -5 - -9) + (36 - 4).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 9:57 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 91*p**2 + 415*p + 826. What is the remainder when y(-2) is divided by 102?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -27, 0.13, 4, -4, -38?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -8 (b) -1 (c) 4.1 (d) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 + -131\/2. What is the third smallest value in u, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 12*u = -408. Let m = u + -49. Let t = 2154 - 2145. Calculate the remainder when m is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12078999.07 rounded to the nearest one hundred?\nAnswer: 12079000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4121004 divided by 1373668.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 m when two letters picked without replacement from nekknmlli?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1146277 greater than -1146280?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-8)*-3*112\/(-126)*2\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 3*s - 4*r + 16 = 0, 3*r = -5*s + 12. Suppose -3 = -s*p + 3*p. Which is bigger: 1\/7 or p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 3*n - 4. Let b be q(-3). Let i(r) = -23*r + 890. Let z be i(40). Is b\/10*-4 - (z + -1) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (3\/(-1) - 1). Suppose f = 7*a - 4*a - 12. Let t be 1 - (-2)\/(a\/6799998). What is t rounded to the nearest 100000?\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((5 - 1) + -8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.716 + 1.284. Which is the second smallest value? (a) -2 (b) -14 (c) p (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 6*v + 16. Let m be k(-7). Let t = m - -6. Let x = 124 + t. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/36*(-4)\/(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34258841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562612053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + -2 - -28 - 0. Let z = 37 - n. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93107, 186238, 279369, 372500, 465631?\nAnswer: 558762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1434 * -0.3.\nAnswer: 430.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d. Let z(c) = c**3 + 2*c**2 - 10*c - 19. Let f be z(-2). Let h(r) = 6*r + 13. Determine f*h(y) - 5*p(y).\nAnswer: y + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1109 = -2*i + 443. Suppose 12*k - 4*k - i = 0. What are the prime factors of k?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**2 + 0*j**2 - 3*j**2 + 3*j**2. Let d be y(2). Let r = d + -7. What is the third biggest value in -5, 0.1, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -5*z**2 - 22*z + 18. Let p(h) = h**2 + 1. Let i(c) = 3*p(c) + q(c). Calculate the remainder when 35 is divided by i(-11).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -5*r + 3*o, -r + 2*r + o = -2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 563*y + 2. Let k be (-12)\/(-3)*1 - 1. Suppose l - 4*l + k = 0. Is r(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -114? (a) -0.06 (b) -0.5 (c) -4\/9 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - u - 35. Let d(m) = m**2 - 7*m + 2. List the prime factors of d(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1400 + 1404. What is the second smallest value in -0.24, g, -8?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.35, 1\/2, -4 in decreasing order.\nAnswer: 1.35, 1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32559?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*2*sqrt(156))\/sqrt(12))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 8 + 2 = 0, 0 = 5*a + p - 5. Suppose a = -11*u + 16*u - 445. List the prime factors of u.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1503 - -1508. Solve 4*i = -k*x, 4*i - 2*x - 67 = -39 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1911) - 6*-2*sqrt(1911)) + sqrt(1911) + -5*-1*sqrt(1911))\/((sqrt(432) - 1*sqrt(432)*1) + (4*sqrt(432)*-2 - sqrt(432))).\nAnswer: -133*sqrt(13)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1064, -1065, -1066?\nAnswer: -1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 - 45*f + 91 + 61*f - 28*f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, k: 1, q: 2, c: 6, t: 3}. Give prob of picking 1 c and 1 t.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12360)\/3906 - 5874\/(-1869))\/(2*1\/12)?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13404034232 - -5?\nAnswer: 13404034240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 1 + 1 = 0. Suppose -5*z = -4*j + 107, 0 = i*z + 7 - 1. Differentiate 3*p**4 - 3 - 3 - 23*p + j*p wrt p.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401939707?\nAnswer: 13, 31, 997369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/1556110 and -127\/1830?\nAnswer: 4668330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from kkyykkkkkkkkkyw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17*(-6)\/(-3) - (2 + 1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2933 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/5)\/((2\/4)\/((-25)\/(-10))).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iip when three letters picked without replacement from {p: 1, i: 2, q: 1, r: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2044dc (base 16) to base 5.\nAnswer: 1020133110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 10*k**2 - 11*k + 24. Calculate the remainder when 48 is divided by y(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -1 + 3 + (-2457 - -2453).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i + 30*i - 3*i - 7*i.\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37 - -12) + 8 - -11 - (26 + -1)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -3*h - 38. Let d(y) = -995*y**2. Determine i(d(t)).\nAnswer: 2985*t**2 - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 72 and 1047582?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*o + 41*o + 2 + 48*o - 111*o.\nAnswer: 13*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 1:35 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 4*a + 8*a = 14, -3*w = a - 16. Suppose 0 = 4*p - 2*c - 750, 861 + 59 = w*p + c. List the prime factors of p.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1665.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -31, -63, -117, -193, -291?\n\"Answer: -11*n**2 + n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/183 or 1?\nAnswer: 1\/183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/7)\/((-7)\/49). Suppose -w*g + 37 + 11 = 0. What are the prime factors of 1\/(-2) + 1572\/g?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9468 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4996.5008 rounded to the nearest ten?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-8 - -6)) + 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -119*f - 2509*f + 76212 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**3 - 53*j + 28*j + 25*j.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70 - 0) + (5117 - 5229).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 415 and 3015?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7559727 and 1722.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27.044 + -0.044. Let j = q - 30. Let l = 15 + -15. Is l equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**3 + 3488*s**2 - 982726*s + 64451484 = 0.\nAnswer: -1998, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/8 (b) -5 (c) -75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 5*w - 17 = 0, -4*p = -0*w + 3*w + 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -350.531 - 0.469. Let o = 383.2 + a. Round o to the nearest integer.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 5*d + 9. Let k be y(-4). Which is the nearest to -1? (a) 47 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 0)\/(-4 - -6). Suppose -9*h + 14*h - 100 = s. What is the highest common factor of 50 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -100906*h**3 + 118031*h**2.\nAnswer: -605436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 401\/12 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 4*b + 86, -3*b + 8*y = 2319 - 2283 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3892, 7987, 12470, 17533, 23368?\nAnswer: 30167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 6*k + 155 = 0. Let n = k - 29. Let d = 4 - n. Let c(m) = 3*m - 1. Let z(j) = -j**2 - 16*j + 5. Determine d*z(i) + 11*c(i).\nAnswer: -2*i**2 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -225\/31838 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11965\/63 - 1380\/7. Calculate the common denominator of k and 2 + (-30)\/55 + 3.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -660*o**3 + 15*o - 71 + 69 + 670*o**3 to x*o**2 + z*o + m + l*o**3 and give z.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 485*s - 37*s**3 - 485*s + 13 wrt s?\nAnswer: -111*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 5:06 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1451140.\nAnswer: 2, 5, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7197 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 2:52 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 - 7*h**3 - 3 + 8*h**3 + 2. Let y be v(2). Is y + 0 + 1 + 20 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**3 + 113*l**2 + 20*l - 8167. Determine g(-55).\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 1501*o**3 - 4*o**2 - 69*o - 3170. Find the second derivative of w(h) wrt h.\nAnswer: 9006","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aj when two letters picked without replacement from aaiyyacjjckk?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1023? (a) -2\/9 (b) -0.1 (c) 3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 115683, 115680, 115677?\n\"Answer: -3*t + 115686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b53bc (base 14) to base 11.\nAnswer: -2793a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1886 (base 15) to base 3.\nAnswer: -21021100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1300)*-1*4)**2.\nAnswer: 80*sqrt(13) + 20801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + j + 17908, 6*j - 13440 = -3*y + 9*j. Suppose -2*a + y = -5*u - 1379, -a + 2941 = 2*u. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-4 + 13) - (0 + 5 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/15 - (-44)\/10. What is the second derivative of -2*r**3 - 3*r**d - 144 + 143 - 4*r**4 - 27*r wrt r?\nAnswer: -84*r**2 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513 is divided by 106.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -4*z - 4. Let g be y(-6). Suppose 2*x - 7*x = -g. Suppose 0 - 2\/3*a**x + 0*a**3 + 0*a**2 + 0*a = 0. What is a?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t - 1. Let h be ((-6)\/15)\/(1\/5). Let q be f(h). Suppose -3*j - 7 = 2. Put q, -2, j in descending order.\nAnswer: -2, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**7\/420 - j**6\/100 + j**4\/30 + 2841*j. Factor k(b).\nAnswer: -b**2*(b - 1)*(b + 2)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*c + 28*c = -5679. Suppose -16*l = -4*f - 11*l + c, 4*l + 4 = 0. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 680.5 - 680. What is the closest to -1\/2 in s, 0.2, 2\/11, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2149 and 2146 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 6*b**2 - 4*b + 8. Give z(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -76 divided by -2715\nAnswer: 76\/2715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5 - 2*o**2 + 2*o + 25*o**3 - 3 - 26*o**3. Give m(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 99*s**2 + 21*s. Let b(u) = -43*u**2. Determine a(b(d)).\nAnswer: 183051*d**4 - 903*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44195\/45724 - -32\/497. Find the common denominator of -51\/506 and y.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54112193 to the power of 1\/2, to the nearest integer?\nAnswer: 7356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -27 times 1114\nAnswer: -30078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3054 + -1?\nAnswer: -3055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 288*p = 286*p - 3, -6*t = 4*p - 14 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 448148*m**3 + 2*m**2 - 8*m + 7. Let b be u(3). What is b rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/(-99)*(-27)\/36\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143, 287, 435, 587, 743, 903, 1067?\nAnswer: 1235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {r: 1, q: 6, g: 2, v: 4}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3)*k)**(1\/76)*(((k**3\/k)\/k)\/k)**39 assuming k is positive.\nAnswer: k**(5\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 e when two letters picked without replacement from xegvddw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 6*3\/2. Let n(l) = -l**3 + 8*l**2 + 11*l + 3. Let u be n(z). Is 2 + -4 + u - 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/21 and -10\/365287.\nAnswer: 7671027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1835394?\nAnswer: 2, 3, 11, 27809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -65*v**2 + 177*v + 1888. What is l(7)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 - 532?\nAnswer: -505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, -10, -47, -110, -205, -338?\nAnswer: -515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 7:19 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1229 + 1724. Suppose 3*u = 4*p + 474, 3*u + 0*p - z = -3*p. Let g = u + -102. Calculate the greatest common divisor of g and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 - 8*g - 10. Let i be r(-2). Put i, 1, -87 in increasing order.\nAnswer: -87, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 7\/5, -3213, 23, 0.3?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from rraagagrggggrrr.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, 1\/3, 0.5, -1\/6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*m + 2395 = -920. Let s = m - -396. Calculate the remainder when s is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 850523 and 12988.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 56 - 47. Calculate the least common multiple of 12 and s.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2435974 a multiple of 974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*(1 + sqrt(1008) + -5)**2.\nAnswer: -576*sqrt(7) + 6145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 2 + 0*l + 0*l**2 - 1\/3*l**3. Let f(s) = -3*s**2 + 2*s - 2. Let b(u) = -u**2 + u - 1. Let x(m) = 2*b(m) - f(m). Give x(t(q)).\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v - 2*v + 0*v)*(-2 + 2*v**2 + 2 + 8*v) to w*v**3 + m + l*v**2 + k*v and give l.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 m when two letters picked without replacement from mhmvvmhmhvm?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101010 (base 2) in base 11?\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -23, 3, 13, -3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n + 0*n - 5*n + 2*n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -3.03. Let s = y - -0.97. Which is the second smallest value? (a) -0.5 (b) 4\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175 + 4802*m**3 - 175.\nAnswer: 4802*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71132?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -218028, -436028, -654028, -872028, -1090028, -1308028?\n\"Answer: -218000*v - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**3\/3 + 9*i**2\/2 + 2*i - 5. Let b be r(-9). Let l be 0 - -2 - (-40)\/5. What is the highest common divisor of b and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 1\/7, 2\/7, -1\/6, -1, -19.652?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -0.027.\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, r: 4, g: 8, e: 3}. What is prob of sequence ge?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + -0.4. Let c = -1.3 - q. Suppose 0 = 4*d + 5*p - 31, -2*d - p - 2*p + 17 = 0. Sort 0, c, d in decreasing order.\nAnswer: d, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16447 is divided by 3712?\nAnswer: 1599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27\/21 + 10\/(-35). Let l(s) = s**2 + 10*s + 2. Let b = 11 + -21. Let w be l(b). Sort w, i, -1 in increasing order.\nAnswer: -1, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 6. Suppose k + k = -16. What is the remainder when 2 is divided by n(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427*o - 181*o + 616 = 218*o for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7*d**2 + d + 4. Let y be m(3). Let c = 145 - 31. Suppose -w + 25 = k, -5*k + 20 + c = 2*w. Calculate the greatest common factor of k and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196329193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1570049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-6 - -7) - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9072 and 14904.\nAnswer: 208656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43580527 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 175681*0.5.\nAnswer: 87840.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 1 = -4*l. Let o be (3 - l)\/(4\/10). What is the closest to -0.1 in 4, 3, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*(-18)\/12)\/6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-3))\/(2\/(-240326))*-3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -900267.\nAnswer: 1\/300089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/4261 + 17035\/12783. Which is the second smallest value? (a) -2\/17 (b) n (c) 25 (d) 4 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10641.\nAnswer: 3, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.1 (c) 5 (d) 42\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 116354 or 116363?\nAnswer: 116354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -5. Suppose -4*z + 30 = 2*l, -l - 2*l = 4*z - 39. Let b(m) = -m**3 + 9*m**2 + 1. Let s be b(l). Which is greater: s or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*q**6 + 1163*q**4*w**3 + 2194*q**2*w**3 + 2*q**2*w**2 + 2*q*w**3 wrt q?\nAnswer: 2040*q**3 + 27912*q*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -75 (b) -0.1 (c) 0 (d) -0.3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 350 = v - 480. What is v rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*n = 18*n + 7600. What is the highest common divisor of n and 532?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -25*g**4 - 995365*g**3 + 1393550*g**2 - 398160*g = 0.\nAnswer: -39816, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 67? (a) 4 (b) 0 (c) -0.128 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Product of 23115 and -169.\nAnswer: -3906435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1954924 and 454.\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 669 - 65. Does 18 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23121 - 23123. Let h be (4\/(-2))\/(-8) + 0. What is the closest to 2 in -5\/2, h, -0.2, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 12. Suppose -c*v + 4*z = -152, z + 32 + 84 = 3*v. Suppose 3*l - 39 = 5*j + 46, -j = -4*l + 85. What is the remainder when v is divided by l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 25.41 and -0.2.\nAnswer: 25.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + 6)\/(0 - -2). Suppose -n*t = 16, 4*l - l + 3*t = -42. Is 3 a factor of (2 - -33)*(-2)\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 330928 and 20?\nAnswer: 1654640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 452\/(-1017)*81\/3?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2638261168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 17\/5, 4724, 56, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 7719, 7720, 7709, 7680, 7627, 7544, 7425?\n\"Answer: -o**3 + 8*o + 7712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-32)\/2)\/(12\/(-18)). Let b = 37 - d. What are the prime factors of b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -333066, -333068, -333074, -333084, -333098, -333116?\n\"Answer: -2*n**2 + 4*n - 333068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - 40.9. Let w = -2 + v. Which is the smallest value? (a) -1 (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(80)*1 - sqrt(5)) + 5.\nAnswer: 1 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (0 - (-12)\/(-4) - -5). Let v(n) = n**3 - 3*n**2 - n - 1. Determine v(j).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2836 minus 21071514?\nAnswer: -21074350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*z - 7749 = -9*z - 4249 for z.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 6*f + 50. Let v(p) = -7*p - 60. Let n(d) = -5*v(d) - 6*y(d). Let j(h) = 3*h. Let s(o) = 7*o - 1. Let q be s(1). What is q*j(k) + 15*n(k)?\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95100 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20747?\nAnswer: 20747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 25 = g - 6*g, -a = 4*g - 1. Suppose c + 3*i + 122 = 0, -35*i - 8 = -39*i. Sort 4, c, g in descending order.\nAnswer: 4, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36393*k**2 - 604*k**3 + 36393*k**2.\nAnswer: -604*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-12))\/((-1)\/3)*-6. Let z be u*((-312)\/(-405) + (-10)\/25). Which is the closest to -0.1? (a) 2 (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8721\/4532 + 32\/103. Find the common denominator of (0 - 2) + (-69)\/(-84) and k.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 396152 and 230?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q**2 + 0*q - 11 - 3*q + 5*q + 6*q + 6*q**2. Let j(g) = g**2 - 7*g - 4. Let s be j(6). Let y be u(s). Solve 0 = -y*c + 7*c - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11010110110100111 (base 2) to base 14\nAnswer: -2c127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times 51.597?\nAnswer: -567.567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1, 4, -1967, 326 in decreasing order.\nAnswer: 326, 4, -0.3, -1, -1967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -152, -305, -448, -581, -704, -817, -920?\n\"Answer: 5*u**2 - 168*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a + 25 = -8*a - 5*q, q + 5 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 + 8*w**2 - 7*w + 5. Let b be u(7). Let j = b + 25. Let s be ((-1)\/3)\/((-2)\/j). Solve -s*l + 6 - 21 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*m**2*r*z + 14*m**2*r - 216*m**2 - 2*m*r*z - 34*m*r - 5*r*z - 2*r - 1069*z - 1 with respect to z.\nAnswer: -8*m**2*r - 2*m*r - 5*r - 1069","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -22554*r + 11274*r - 22 + 11276*r. What is m(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41087786821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10*132\/(-33) + 0\/3 + 2 + 9\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s**3\/7 + 344*s**2\/7 - 214*s\/7 - 20 = 0. Calculate s.\nAnswer: -35, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 3) in base 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 10:58 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.246 to one dp.\nAnswer: 38.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222100022022110102 - 12?\nAnswer: -1222100022022110121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 30501.4l?\nAnswer: 30501400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2425 and 600?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by -4.\nAnswer: -35\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21836 is divided by 31?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81868 - 245597\/3. Factor 0 + 1\/3*n**2 + i*n.\nAnswer: n*(n + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2 - 1)\/((-11)\/(-1067)) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/(-6))\/(2\/(-24)). Let p = k + 30. Let u = -7 - -11. Solve u*o + 4 = -p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547788547 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 22491.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74483 and 1412.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170 (base 16) to base 8.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9\/4 (b) 3 (c) -2\/10995 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -524 - -584. Let q be n\/32 + (-11)\/(-88). Solve 3*d + 3*a = -6, -3*a + 6*a + 1 = -q*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = q + 6*q. Suppose -q*a + 6*a + 1014 = 0. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37\/20 + 8\/5. Let b = 834\/13 - 64. Let g = -541.7 + 542. What is the second smallest value in b, 0.4, g, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 + w**2 + w**2 as u + x*w + f*w**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + (22 - -7) - 11?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvvyvyvvv. Give prob of picking 3 v.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -257536 divided by -256\nAnswer: 1006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) -0.7 (c) 0.033 (d) -0.3 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14518521 is divided by 77.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 119 + (-2 - (-8 - 1)) + (5 - 19) - 12\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3451.618ml to litres.\nAnswer: 3.451618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 6*v + 2. Let g(o) = -5*o + 10. Let p be g(1). What is c(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.877 less than 3194925?\nAnswer: 3194930.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20159, -20245, -20333, -20423?\nAnswer: -20515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -52*y**3\/3 - 34*y**2 - 16*y + 244. Factor g(d).\nAnswer: -4*(d + 1)*(13*d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 345990?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 12 = -2*x, 17*q + 5*x - 6 = 13*q. Solve -b - c = -3, c = 2*b - q*c + 29 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 - -8?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 11:12 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 509907 = 67*c. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*m - 401*m - 253*m + 494*m.\nAnswer: -292*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 175321226 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 168 + -51?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 51 = -l, -4*h - 61 - 51 = -2*l. Calculate the greatest common factor of 6 and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 12) to base 16\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 2. Let u be p(0). Let g be (-6)\/(0 + (-3)\/u). Suppose 0*b + g*b = 12, -a = b - 8. Put -2, a, -5 in increasing order.\nAnswer: -5, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (1 - (-2 - 4)) - (14 - 54 - -10)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -5418 and -5407 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000802 to 5 decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/323414 and -115\/10662?\nAnswer: 970242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + d - 10 = -4*g, -5*g + 11 = 2*d. Let q(k) = 6*k - 3. What is the tens digit of q(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -113.8 + 112. Which is the second biggest value? (a) s (b) 0.07 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 w when four letters picked without replacement from {w: 9, m: 7}?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(4\/7)*a*a**(-1\/3))\/((a*a**(-2)*a)\/(a*a*a*(a**(-1\/5)\/a)\/a)))\/(a**(2\/43)*a**(1\/9)) assuming a is positive.\nAnswer: a**(23536\/13545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 4)*(3*w - w - 3*w)*(-24*w**2 + 895 - 895).\nAnswer: 96*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -163*z**2 + 214*z - 647. Give d(3).\nAnswer: -1472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-10)*(-2 - -7). Solve r + 12 = -5*x - 4, -6 = -t*r + 3*x for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 5:07 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/9)*h*h*h\/(h**(-4\/5)\/h)*h**2*h\/(h*h*h*h\/h**1))**26 assuming h is positive.\nAnswer: h**(5356\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10138 + 10137.99991613. Round m to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52428 and 204.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8\/3)\/(k\/((k\/k**(14\/9))\/k)*k))**40 assuming k is positive.\nAnswer: k**(-2240\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (121 - 54) + -31?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 36, 2097, 0, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from {e: 1, b: 1, p: 2, m: 2, f: 4}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 10 - 13 + 0*k. Let g be s(5). Let a(z) = z**2 + z - 1. Calculate a(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2. Let a(w) = -3*w**2 - 3*w. Give a(g) + 2*v(g).\nAnswer: -g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120428)\/(-46046)*(-78)\/4?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 4:25 AM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6611*r + 143 = -6598*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -892069*5\nAnswer: -4460345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3+91488426661\nAnswer: 91488426658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*i + 89*i + 2 = -m, -5*m + 5*i - 5 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 12:15 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f + 14*q - 13*q - 302, q = 5*f - 214. Solve -41*u + f*u + r + 3 = 0, u + r - 1 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l - 10. Let h be 4*6\/(-9)*-3. Let n be p(h). Let a = -29 - n. Is a a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21279968763 + 0.4.\nAnswer: 21279968763.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (25 - (19 - 9))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-63))\/((-48)\/(-56))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8120 and 680.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + x**4 + x**2 - 1 + x**3 + 38*x - 36*x to z + q*x**3 + n*x**2 + f*x + m*x**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 91 = 25*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 7*w + 7. Let g(a) = -a. Suppose -4*c = -2*m + 1 - 47, 5*m + 3*c + 76 = 0. Let x = m + 16. Let p(i) = x*s(i) - 4*g(i). Determine p(5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4\/3 + 6224*o**3\/3 + 1770398*o**2 + 1382652532*o\/3 + 2744110048\/3 = 0. What is o?\nAnswer: -1912, -599, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.13 and -6289209309070?\nAnswer: 6289209309069.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/10 and 85\/2646599622.\nAnswer: 13232998110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*j = -780, 0*j = b + 2*j - 269. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u = 112*u - 576. Let m(w) be the third derivative of w**4\/6 - w**3\/2 + w**2. Let q(t) = -t**3 + 7*t - 5. Determine u*q(l) - 7*m(l).\nAnswer: -4*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**5\/15 - 138*n**2. Let q(f) = -34*f + 3 - 1 + 27*f. Calculate q(w(x)).\nAnswer: 28*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.06 - -1. Let f = 0.13 + z. Is -1\/2 at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0*z**(-4\/5))**(-21) assuming z is positive.\nAnswer: z**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5301286?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y - 132 = -864. Let t be (-18)\/18 - y*1. Let n be 2 + t\/30 + (-4)\/12. What is the fourth smallest value in -5, n, -0.1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(138\/(-23)))\/((-2)\/(-18)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g + 6. Suppose -5*j - 140 = -3*j + 2*a, 146 = -2*j + a. Let n be 10*(j\/(-15))\/6. Let v(r) = n*r + 4*r - 10*r - 7. Calculate 6*k(d) + 5*v(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*d - 352, 382 + 58 = 5*d + 2*a. Is 94 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12273632 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -5*o + 26, -o + 1 = -2*a - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-35)\/((-56)\/8)*489\/15. Let w = v - 153. Calculate the remainder when (-4)\/8*(-138 + 0) is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = s + 20, -3*z = -6*z + 4*s + 35. Suppose -q = z*q. What is the closest to q in -2, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25423670 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -282*r**5 + 446*r**3 - r**2 + 112302*r wrt r?\nAnswer: -5640*r**3 + 2676*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n + 133 - 4*n - 125 to the form p*n + u and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -1157747.3.\nAnswer: -578873.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.112345 and -25.\nAnswer: -25.112345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -1 + -2 - (-41 - -36)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.72 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -235*p - 4239. Let m be f(-18). Let h(n) = 5*n**3 - 4*n**2 - 4*n - 20. Let x(r) = 11*r**3 - 9*r**2 - 9*r - 41. Give m*h(u) + 4*x(u).\nAnswer: -u**3 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 70*x - 1209. Determine c(53).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8410 divided by -10?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8171\/1715394 - -2\/7727. Let g = 437\/1554 - h. Which is the nearest to g? (a) -3 (b) -4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -470250 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1751467074.\nAnswer: 2, 3, 7, 121579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20501 + 55?\nAnswer: 21000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -5*h + 3*h + 9*h + 2*h**2 - 4*h - 9. Let b(u) = u. Give -5*b(c) + q(c).\nAnswer: -c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, g: 1, k: 2, b: 2, j: 1}. What is prob of picking 1 b and 1 k?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s + 27*s = -26*s - 280 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 5:38 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-67)\/3 - (-11)\/33. Let q = -19 - t. Suppose 5*x = 3*a + 10, 0 = -5*x - 2*a + 81 - 46. Solve -2*f + q*f = x for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -241137281.\nAnswer: -964549124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -y - 14, 2*y + 2*g - 9 = 3. Solve t = 3 - y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from slhdnlshlhlsnlnlsph. What is prob of picking 1 d and 3 l?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -4*x + 85, -2*x - 2*a = -19 - 41. Let r be 1\/2 + (-108)\/(-8). Solve -3*z - r = -5*w - 4, -3*w + x = 2*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15191000 rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 272\/7*m - 96\/7 - 40\/7*m**4 - 296\/7*m**2 + 156\/7*m**3 + 4\/7*m**5 = 0. Calculate m.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 0*n**2 + 0*n**4 + 0*n + 2\/3*n**3 + 1\/120*n**5 + 3. Let l(u) be the third derivative of w(u). Let d(k) = k**2. Give l(d(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + sqrt(1700) + sqrt(1700)*1 + 5 + -1))**2.\nAnswer: 1800*sqrt(17) + 61425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from epepeeepep. Give prob of picking 4 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 420, 380, -584, -2934, -7132, -13640?\n\"Answer: -77*c**3 + 499*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k**2 - 510062110*k - 13008167802882605 = 0. Calculate k.\nAnswer: -51006211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1066 and 1189?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4bdb9 (base 14) in base 3?\nAnswer: 100110220121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -54, -124, -212, -306, -394, -464, -504, -502?\n\"Answer: 2*v**3 - 21*v**2 - 21*v - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.439 + -426.439. Let u = o - -441. Which is smaller: u or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -77*g**2 - 709*g + 98. Calculate s(-9).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/(-130) + (-2475)\/(-143)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.03121 + 0.031. Round y to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 51. Suppose 15*o - 8*o = z. Let w(h) = -6*h**3 - 5. Let g(m) = 10 - 4 + 130*m**3 - 123*m**3. Give o*w(k) + 5*g(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2*o = -5*s - 2, -s = 4*o + 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**6\/18 - 7*p**5\/15 - 21*p**4\/4 + 383*p**3\/9 - 277*p**2\/3 + 80*p + 9464. Suppose v(o) = 0. Calculate o.\nAnswer: -8, 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + t - 4)*(2*t - 2*t - 5*t**2 + 2*t).\nAnswer: -5*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 51, 55, 45, 15, -41, -129?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 3, 26?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 13 = 7. Suppose d*b + 4*i = 186, 2*i + 201 + 70 = 3*b. Let w = -90 + b. What is the greatest common divisor of w and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/(-10) + (-53 - -58)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = p - h, 1526*p + 5 = 1523*p - h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -20670 equal to -227358\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 222768512 to the power of 1\/2, to the nearest integer?\nAnswer: 14925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1735*j - 83212 = -638 + 28466 for j.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -862 - -866. Let c be (-6)\/(-8) - (x - (-49)\/(-4)). Let f(o) = -o**3 + 8*o**2 + 7*o + 10. Determine f(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, p: 1, s: 2, v: 1}. What is prob of sequence vp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03146813 rounded to five decimal places?\nAnswer: -0.03147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*u**2 + 5*u**2 + 14*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -20228.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/15, -2\/447, 5?\nAnswer: -2\/447","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*l*l*l*l*l**(2\/11)*l)\/l*l)\/l**(1\/3)*l**(1\/3)\/(l**0*l))**10)**(4\/13) assuming l is positive.\nAnswer: l**(2280\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -110101 (base 2) in base 10?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(459)*4 + sqrt(459)))\/(-2*-1*(sqrt(3) - 2*sqrt(3))))**2*-5.\nAnswer: -478125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 422\nAnswer: -5\/422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**5\/20 + 7*y**4\/12 + y**3\/3 - 3*y**2\/2 + 13*y. Suppose 5*h - h + 12 = 0. What is the lowest common multiple of 9 and z(h)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594 = -20*h - 599 + 1413 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 69*d**2 - 100*d - 6891. Give g(-69).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3602*t + 2017*t - 5672*t.\nAnswer: -7257*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -9*m - 9. Let k(v) = v + 1. What is 6*a(o) + 51*k(o)?\nAnswer: -3*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (13 + -12)*-4 + 68. Let x(z) = -400*z**2 - 64*z - 64. Let j(c) = -19*c**2 - 3*c - 3. Determine t*j(p) - 3*x(p).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 1 + 4. Calculate the remainder when 30 is divided by (-2)\/y + 124\/12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 772, 717, 600, 421, 180, -123, -488?\nAnswer: -915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, o: 4, j: 1, p: 2}. Give prob of sequence jo.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(13\/754*-2).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20890465?\nAnswer: 5, 4178093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12873 - -321827\/25. Which is the fourth smallest value? (a) 5 (b) 0.04 (c) x (d) -0.6 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.13 (b) 1\/5 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10572 is divided by 280.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 20 = 4*q. Solve -c - 3*o = -17, -q*c - o + 8 + 16 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -7*x**5 + 34*x**2 - 7. Find the second derivative of s(c) wrt c.\nAnswer: -420*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*b + 5708 = 5*p, 2*b = p - 1139. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 24 = 2*m + 3*w, -4*w + 27 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*3\/(12\/(-10)). Solve -3*t + 3*c - 9 = 0, -k*t - 9 = -0*t + c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-2.6572\nAnswer: -5.3144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12220 * -8.\nAnswer: -97760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21435066, -42870126, -64305186?\nAnswer: -85740246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f**2 - 8*f + 9. Determine y(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -930 or 0.1?\nAnswer: -930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 455 and 273.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 136233 (base 7) to base 12\nAnswer: 131a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 5 = 5*a. Which is smaller: -0.4 or a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26.7 and -0.5.\nAnswer: -13.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 7*z**3 - 13*z**2 - 14*z + 4. Let u(w) = w**3 + 1. Let o(q) = -a(q) + 6*u(q). Let t be o(14). Suppose -t*v + 106 = -v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2145 - 1.34.\nAnswer: -1.5545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/(-12))\/((-18)\/(-8)). Let d = 10805 - 118857\/11. What is the smallest value in d, l, -2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3184159 to the nearest integer?\nAnswer: 1784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -113 + 221. Suppose -d + 2*d + b - 51 = 0, 2*d + 4*b - h = 0. Is d a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 54 = -166. Suppose 2*n + 22 = p. Solve y - 5*t = 9, 3*t + 1 + n = 2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -242.1 + 249.544. Round p to 0 dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41137\/2 + -20570. What is the nearest to 0.06 in 0.5, m, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5*sqrt(700)*3 + sqrt(700)))**2.\nAnswer: 137200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -3. Let p = -0.4 + 0.7. Let d = 474 - 474. What is the closest to d in 1\/6, h, p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11351, 16694, 22037, 27380?\nAnswer: 32723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 668 less than 0.0301?\nAnswer: -667.9699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3*s + 5 - 47 = 0, -5*a - 10*s = 135 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-1 - -2) - (-4 + 33 + -33)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -53*t - 96. Let a(z) = -317*z - 553. Determine -3*a(r) + 19*c(r).\nAnswer: -56*r - 165","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01173442 rounded to four dps?\nAnswer: -0.0117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-14)\/35) + -270. Let i = c - -278. Solve -4*g - 19 = i*u, -4*u = -g - 0*g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1821 times -6\nAnswer: 10926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a**2. Let z(u) = 1283*u**2. What is z(n(s))?\nAnswer: 32075*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19521*k**5 - 3*k**2 + 1250*k + 6 wrt k.\nAnswer: -390420*k**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1939374579.\nAnswer: 3, 41, 431, 36583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 11 = 3*x, 2*z + 3*x = -2*z + 19. Suppose 7*d = 3*d. Suppose -2*n + 16 = 4*m - 22, 3*m + n - 27 = d. What is the least common multiple of m and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g + 2. Let y be k(3). Calculate the greatest common factor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 - 27 + 0 - 47 - 118)*(-375 + 120*n + 375).\nAnswer: -25920*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p + 6. Let j be (-102)\/(-5) - (-18)\/30. Let c = j + -14. What is the units digit of l(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*f**3 - 6*f**3 + 2*f**3 + (-3*f**2 - 2*f**2 + 7*f**2)*(-2*f + 5*f - 5*f).\nAnswer: -25*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275 - -842529457004.\nAnswer: 842529457279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122703 is divided by 97?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*r + 30*r = 14*r - 254*r - 9102 for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/2*157\/(-2355)*50\/(-20))\/(-5)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e9 + 1c3fc?\nAnswer: 1c4e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 3*b**2 + 1. Let u be s(3). Let q(r) = r**3 - 6*r**2 + 2*r - 8. Let g be q(6). Suppose -g = -5*h + 11. Solve d - h = -u for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*g - 2. Let l be (1\/g)\/(5\/15). What is the third derivative of -d**3 + 3*d**2 - 3*d**2 - 3*d**2 - d**l wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 2226314 = -546792 + 1024244. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-28)\/b**(1\/2)*(b**(10\/3)*b*b)**(1\/86) assuming b is positive.\nAnswer: b**(-7337\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/4)\/p**(2\/9)*p**6\/p*p**4 assuming p is positive.\nAnswer: p**(325\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002316671 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001100 + -10000110111111?\nAnswer: -10000100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514\/(0 - (-8)\/4)?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 2\/1015?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s - 7. Let k be y(5). Calculate the remainder when 42 is divided by k\/(-2)*(-2 + 3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((78 - 50) + -27)*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3*((-909)\/594 - -3) and -145\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 143 - 142. Let m be (w - -1)\/(((-187)\/(-66))\/17). Solve -6 - m = 9*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 72\/42 - (-2)\/7. Suppose -5*z - 2 = 4*b, -f = b + 1. Let r(q) = -4 + 4*q - 4*q - q**z. Give r(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 4*o + 16 = 0, 3*q - 5*q + 4*o + 4 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11916272632.972269777 + -11916272612. Let l = -0.027727223 - n. Let i = l + 21. Round i to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67818244?\nAnswer: 2, 13, 149, 8753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32226*3696.\nAnswer: 119107296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5623020 divided by 4\nAnswer: -1405755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 127236819 + -17616831. Suppose 3*s + 3*h = r, -2*s + 4*h + 73080016 = -0*h. Round s to the nearest 1000000.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6*k**2 - 2*k + 1. Let p be (-24)\/2 - (1 - -4 - 120\/12). Let m(i) = -2*i + 1 + 4*i + 2 - 6*i + 13*i**2. Give p*j(x) + 3*m(x).\nAnswer: -3*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 - 675\/99 - 1056476\/(-44) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38)\/(-5) - (-60)\/150) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hffffffhffffffffffhf. Give prob of picking 2 h.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*v = 2*n - 8, -5*v - 11 = -2*n. Let p be n\/(-2) - (-5)\/(-2). What is the smallest value in -0.5, p, -2\/13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 18.6, -1?\nAnswer: 18.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 87, 100, 119, 144?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -9*w**2 + 7*w**2 - 4 + 4. Let n = -4 + 6. Let x(h) = 5*h + 10*h**n - 4*h - h. What is x(r(l))?\nAnswer: 40*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3332*x**4 + 1234 + 148*x - 1998 - 148*x with respect to x.\nAnswer: 13328*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03449329 to three dps.\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, -12, 5, 1\/4, 14, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11160\/(-28) + (-3)\/(42\/(-8)) + 7. Sort -6, 0, j in descending order.\nAnswer: 0, -6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 8\/3506679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1638 and 644.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5549, -21516, -48121, -85358, -133221, -191704?\nAnswer: -260801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, r: 3, o: 5}. What is prob of sequence go?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -100001011011 (base 2) to base 7\nAnswer: -6144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13242202 (base 5) to base 4.\nAnswer: -200232210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 1\/120*k**6 + 0*k + 0 + 1\/24*k**4 + 1\/60*k**5 - 1\/3*k**3 + 8*k**2. Calculate i(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a**3 - 6*a**2 + 7*a - 5. Is c(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2 and 4392.3.\nAnswer: 4392.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 328\/183 - 28\/61. Sort j, -2\/3, -1\/2, 4.\nAnswer: -2\/3, -1\/2, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 11*y + 5. Let v be i(-9). Let n(z) = z**3 + 14*z**2 + 14*z + 13. Let g be n(v). Solve 7*p - 2*p = 4*k + 10, 4*k = g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 - 2*k**2 - 2*k. Let y(z) = -z**4 - 5*z**2 - 2*z**3 + 2*z - 7*z - z**3. Let g(p) = -5*l(p) + 2*y(p). Factor g(d).\nAnswer: -2*d**3*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o - 20*o - o**2 + 27 + 5*o - 32. Determine m(-20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = j, 7*j = -6*i + 4*j - 3. Solve u + 2 - 1 = -2*q, i = q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + 1 + -6 - -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i - 2. Let a(p) = -16. Let f(r) = a(r) + 2*d(r). Calculate f(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1059 is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 0*o**5 + 0*o**6 - 2*o**2 - 1\/105*o**7 + 0 + 1\/12*o**4 + 0*o**3 + 0*o. Find the second derivative of c(j) wrt j.\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*(k*k**(-6))\/k)*k*k*k*(k*k*k*k**1)\/k)\/(k\/k**(2\/7))**48)\/((k\/k**(-1\/6)*k**(6\/11)*k)\/(k\/(k\/k**(-2)))**(-47)) assuming k is positive.\nAnswer: k**(32341\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2288*x = 2144*x - 2016 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.4475602 micrograms?\nAnswer: 0.0000000004475602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**3 + 102*k**2 - 3*k + 172. Let x be s(51). Solve -21 = -x*w + 17 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 706, 600, 494, 388?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 339*g - 247*g - 552 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 170 + 53 = -n, -5*f = -5. Let v = 30 + n. What is the remainder when v is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s**3 + 8*s**2 - 25*s + 5. What is the tens digit of x(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -51, 17, 10 in decreasing order.\nAnswer: 17, 10, -1, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -31 + 14 + (-1 - -9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -101 + 107. Let o(r) be the third derivative of 3*r**2 + 1\/30*r**5 - 1\/3*r**3 - 1\/12*r**4 + 0*r + 0 + 1\/60*r**w. Suppose o(z) = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - x = -10, 4*s + 4*x + 0*x = -64. Which is the second smallest value? (a) s (b) -1 (c) -4 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 10*v**2 - 4*v. Let i(p) = -13*p**2 + 5*p. Let x(w) = -3*i(w) - 4*q(w). Let n(d) = -3*d**2 + d - 1. Determine -n(k) + 2*x(k).\nAnswer: k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n = 11*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39116227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3681304660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1265 + 423 = -2*r. Suppose 4*m - 1381 = -r. What is the greatest common divisor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*f + 5*l - 23 = 0, 0 = 3*f + l - 9. Let p = f + -9. Let a(t) = -t + 5. What is the units digit of a(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**4 - 68*o**3\/3 - 128*o**2 - 192*o - 8154. Factor d(t).\nAnswer: -4*(t + 1)*(t + 4)*(t + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 - 6600*f**2 + 2780928*f - 47941632.\nAnswer: 4*(f - 816)**2*(f - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**4\/3 - 3*u + 2. Suppose -5*n + 14*f - 5 = 9*f, -2*f + 8 = -5*n. Give i(n).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52016509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*v = -3*v - 98. Calculate the remainder when 44 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3635.92377 + 0.07623. Sort w, 3, -4.\nAnswer: -4, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 23*t**2 + 69*t + 242. Give h(-20).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 30*u**2 - 43*u + 1188. What is i(30)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24)\/(-2 + -6))\/3)\/((-5)\/85)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -151511 + 1227996658\/8105. Let l = p + 607773\/275570. Find the common denominator of l and 77\/60.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23007?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*t**5 - 13*t**5 + 21*t**5 + 2*t**5 - 4*t**5 + 0*t**5 + (9*t**2 + 3*t**2 - 4*t**2)*(2*t**3 - 4 + 4).\nAnswer: 36*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1173, -1151, -1105, -1029, -917, -763?\nAnswer: -561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 - 3*s + 1. Determine d(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 + -1)*27\/(-6). Find the common denominator of -77\/6 and (-2)\/(64\/r)*-3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 10*h + 5. Let w(x) = -3*x**2 + 29*x + 14. Let i(c) = c**2 - 29*c - 33. Let b be i(-1). Give b*w(g) + 8*f(g).\nAnswer: g**2 - 7*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 471, 442, 367, 222, -17, -374?\n\"Answer: -4*r**3 + r**2 - 4*r + 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41 - -51. Solve -10 = -k*r - 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 10:32 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2 + 409*n + 408 = 0. Calculate n.\nAnswer: -408, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.2 + 4.1. Let u = h - -4.6. Sort -2\/5, u, 0.06.\nAnswer: -2\/5, 0.06, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.16 + -2.84. What is the biggest value in 5, 0, c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 0*f**4 + 1\/60*f**5 + 3*f**2 + 0*f + 0*f**3 + 0. Let t(r) = 66*r + 81*r - 117*r. Give t(l(z)).\nAnswer: 30*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1463 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -1405, 2, -20\/191, -0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*r - 5*w = -31*r - 157, 0 = 2*r - 5*w - 138. Let f = 268 - r. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -26?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 28, 23, 14, 1, -16?\n\"Answer: -2*j**2 + j + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (15\/(-12))\/5*(-10888)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 67, 1 in ascending order.\nAnswer: -4, -2, 1, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-42)\/7)\/12*0. Solve s = -4*d - 4*l + 28, 5*l - 21 - 6 = -3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*h + 6 = -17 - 85. Sort 0, -2, h, 2, -3.\nAnswer: -3, -2, 0, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2040 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19248\/(-30476)*38\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29661816.\nAnswer: 2, 3, 1235909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 301 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77641 + 9705178\/125. Calculate the common denominator of 81\/200 and l.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 0*a + 1\/3*a**3 - 1 + 0*a**2. Let v(u) be the second derivative of u**3\/3 + 5*u. Determine v(f(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 1 = 3*q, -23 = -4*x + 14*q - 13*q. Solve 5*o - 11 = 4*w, -x*w - 3*o + o - 18 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1010.702 times -0.043\nAnswer: 43.460186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j - 5*j + 3*j + (-2 + 6 - 2)*(-2*j + 0*j + 3*j) + (3 + 1 - 1)*(-1 + j + 1) to the form q + i*j and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 463 + 548 = 0 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 438895587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - -1) + -6 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 divided by 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 - 2 - 4\/((-12)\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -212840\/9, -0.3, 5, -11, 3 in ascending order.\nAnswer: -212840\/9, -11, -0.3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 3*z - 2. Let d be n(-2). Let v be 3\/2*(-8)\/(-12). Calculate the highest common factor of d and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 17*x**2 - 16*x - 39. Let j be z(18). Let r(f) = -f**3. Let b(k) = -6*k**3 - 2*k**2 - k - 1. Let o(i) = b(i) - 5*r(i). What is o(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 67670 and 138?\nAnswer: 4669230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2280 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6603\/1060 - -15\/212. Let x be -2 + (-2752)\/(-459) + -4. Let z = x + -7495\/459. Calculate the common denominator of j and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1124423023 (base 5) in base 7?\nAnswer: -30621031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -536 + 523 + (42 + 0 - (2 - 2))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10663 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 163067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2*x + 7 = -8, 0 = -w - x. What is the units digit of (-1 - w*-2)\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 3*q**2 - q - 23. Let n be b(0). Are n and -24 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -657943 divided by -6149.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uebaduuudedauaidauau. What is prob of sequence bdid?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.25 - 1.583. What is q rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 8 = 4*l, 4*l - 12 = 2*w - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 7, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 72352 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 472857120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + -1. Let j be -15 + (6 - 3) + r. Let h = 9 - j. Round h to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24971*j - o + 3 = 24974*j, 24*o + 200 = -4*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26ea7 (base 16) in base 8?\nAnswer: -467247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g = 5. Is ((-5)\/1)\/g*-401 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 477*0.06\nAnswer: 28.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h**2 - 59*h**2 - 23*h**2 - 10*h**2.\nAnswer: -80*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**2 - 842*n - 5796 = 0. What is n?\nAnswer: -414, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 11*z**2 - 10*z - 2. Let f be m(9). Suppose 139792 = 434*i - 148818. What is the highest common factor of i and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226 - 80 = -17*q. Calculate the smallest common multiple of q and 66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 12. Let c(t) be the third derivative of 1\/480*t**6 + 0*t**4 + t**2 + 0*t + 1\/240*t**5 + 0 + 0*t**x. Factor c(u).\nAnswer: u**2*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + v = -4*v + 996, -3*y = 5*v - 1489. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235461?\nAnswer: 3, 78487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**6\/120 + 3*n**5\/20 - 7*n**4\/24 - n**3\/6 + 3*n**2. Let g be -10*(26\/(-10) + 2). Is y(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/((-10197)\/3605)*3\/(-20)?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 310959339 and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -66, -84, -92, -90?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1061785604 rounded to the nearest one hundred thousand?\nAnswer: 1061800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 3*q - 8. Let u be f(-4). Let c be -35 + 2 - u\/1. Is -30 less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-241*l - 547*l + 386*l)*(15*l**2 - 11*l**2 + 16*l**2) in the form g*l**3 + m*l**2 + r*l + y and give g.\nAnswer: -8040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 2.5. Let r = -12 - -13. What is the closest to r in p, 3, -1\/8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 7*f**2 - 99*f - 13. Give a(15).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 794 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: Evaluate -1 - (-3 + -1 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 430, 870, 1324, 1798, 2298, 2830?\nAnswer: 3400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 680986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -11*f + 65. Let z be p(6). Let v = -9 - -23. Let j be ((-4)\/v)\/((-9)\/7). What is the second smallest value in j, z, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1141000 is divided by 44?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**2\/2 - 46144503*m + 276866991\/2 = 0.\nAnswer: 3, 30762999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**2 + a + 1. Suppose 2*j + 157 = 155. Give y(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3 - 19 = 0. Suppose 2*d + 5 + 19 = -u*x, 0 = 4*d - 3*x + 70. Let y = 41 + d. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177 - 339 - 7*j**2 + 162.\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**3 + j**3 + j**3 - 3*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 780 and 18?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -220 + 426. Is i a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*m + 27*m = -5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-68))\/((-130)\/(-780))\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 111*g**2. Let z(q) = -2*q**2 + 93. What is r(z(l))?\nAnswer: 444*l**4 - 41292*l**2 + 960039","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 0, 3*u + 4*k - 1520 = 9460. Is (6\/(-9))\/((-8)\/u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -279, -1269, -2969, -5379, -8499, -12329?\nAnswer: -16869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10.2, 4, -2 in decreasing order.\nAnswer: 10.2, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 + 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*f + 29288 = 174*f + 79*f - 212 for f.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 6*z - 140. Let n = z + -32. Suppose 2*l - n*d = -4*d + 3, 2*l + 2*d = 2. Solve -l*v - 1 = -3*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26249382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -306857 less than or equal to -2761720\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + 230. What is the tens digit of u\/20 + (-9)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284*s + 1360932 = -1863888. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 18073, 0, 107 in descending order.\nAnswer: 18073, 107, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 20940329 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*h - 22 = -178 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 14431922.\nAnswer: 3\/14431922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12766681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14224718 is divided by 1201.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (1 + 7)) + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -236, -889, -2316, -4901, -9028?\nAnswer: -15081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 + y**2 - 1. Let w(j) = 3*j**3 - 5*j**2 - 9*j + 6. Let g(t) = -2*m(t) + w(t). Give g(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*v**2 + 14 - 7 - 29*v**2 + 66*v**2.\nAnswer: -2*v**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 - 460*a**2 + 10544*a + 22960.\nAnswer: 4*(a - 82)*(a - 35)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 1953*w + 3888. Calculate p(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4904.756ns?\nAnswer: 0.000004904756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -44504 and -1.1?\nAnswer: 48954.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2428394\/17 >= -142846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -129 + 289. Put -3, k, 2\/11 in descending order.\nAnswer: k, 2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33859258?\nAnswer: 2, 16929629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 46*a**2 - 9*a + 7. Let x(l) = -l**2 + l - 1. Let d(y) = -b(y) - 5*x(y). What is the second derivative of d(i) wrt i?\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 503 (base 9) to base 15\nAnswer: 1c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.758 + 1.75077. What is v rounded to four decimal places?\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g + 8 = 0. Let m be (-9)\/(-6) - 6\/(-4). Suppose 4*l - 3*l - m = 0. Solve -g*q - l*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2635\/(-34)*(-2)\/5. Factor 4*d - 2*d**4 + 20*d**3 + f*d**2 + 15*d**2 + 20*d.\nAnswer: -2*d*(d - 12)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1461567.\nAnswer: 3, 131, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6334749 millilitres?\nAnswer: 0.0006334749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + 4*a - 8507 + 8489, 5*g + 2*a - 13 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 287 - 2. List the prime factors of h.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/14 + (122\/14 - 1\/1). Let g(k) = -23*k + 1. Let u(o) = -35*o + 1. Calculate b*g(c) - 5*u(c).\nAnswer: -9*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 250\/120 + 20\/(-240). Solve 2*y - 3*a + 16 = -o*y, 4*y + 5*a = 16 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*s + 85 = 17, 4*v = -5*s + 86. Let b be (2\/(32\/(-104)))\/((-2)\/v). Calculate the highest common divisor of 6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16656?\nAnswer: 2, 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*d + 183256, -6*d - 146613 = -2*d + 5*h. Is 7 a factor of 3\/(4\/22 - (-6202)\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/20 - (-56)\/20. Let 25\/4 - 5\/2*h + 1\/4*h**j = 0. Calculate h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5965018957\/256620 + -2693\/12831. Let n = 23249 - l. Calculate the common denominator of -33\/920 and n.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/(-17)*(-26)\/14*7?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**4\/3 + 1065104*t**3\/3 - 16685092*t**2 - 103305872*t\/3 - 52185490\/3 = 0.\nAnswer: -1, 49, 532505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 1. Let k(w) = 10*w - 2. What is -k(v) - 4*n(v)?\nAnswer: -14*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i**4 - 7*i**3 - 11*i**2 + 39*i - 3. Let h(u) = -8*u**4 + 13*u**3 + 23*u**2 - 83*u + 7. Let q(a) = -3*h(a) - 7*y(a). What is l in q(l) = 0?\nAnswer: -3\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 3\/(-6))*(-12)\/(-18). Suppose -7*n = -2*n. Suppose -3*s = -3*v + 3 - 24, v = -s - 1. Sort s, n, u.\nAnswer: n, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1516 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 912339 = 163358. Suppose -x = -84*l + 77*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 0.8. Let g = -4.9 - -3.9. What is the biggest value in g, 4, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8, -4\/9, 2, -3, -0.1, -2455?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(2\/9))\/v*v)\/(v*v**(-2)) assuming v is positive.\nAnswer: v**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23781 is divided by 768.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 4:24 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-42)*q\/((q\/(q\/q**44*q))\/q))\/((q\/(q**(23\/2)*q*q))\/(q**29*q)))**27 assuming q is positive.\nAnswer: q**(-2187\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-48)\/(-160)*-2*-30025.\nAnswer: 3, 5, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -903 = -3*n + 5*d + 412, n - 3*d = 433. List the prime factors of n.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37122.4451 times -0.4?\nAnswer: -14848.97804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(80) + -1 - -1*sqrt(180)) + (sqrt(720) - (4 + sqrt(720) + -1*sqrt(720)) - (0 + sqrt(720))*-5))**2.\nAnswer: -820*sqrt(5) + 33650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(187)*2*1)\/(sqrt(539)*3))*2.\nAnswer: -4 + 4*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 872\/(-1962)*(-27)\/26\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -3 (b) -1\/36 (c) -0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 10, s: 4, o: 2}. Give prob of picking 2 o and 2 g.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*j + 388, 84*g = 85*g - 2*j - 124. Solve -26*y + g = -42 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - ((0 - -2) + (-82)\/27))*(-7378 - -7390)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -483*x. Let h(f) = 2*f. Determine h(b(o)).\nAnswer: -966*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aama when four letters picked without replacement from {a: 7, m: 12}.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 16, -1\/6, 3\/5, -49?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z**2 + 18*z**2 - 6*z**2.\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1*(21836\/106)\/103*-17?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59053008 by -6.\nAnswer: 9842168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o. Let t(g) be the third derivative of 0 + 0*g - 10*g**2 + 0*g**3 + 1\/12*g**4. Determine t(a(m)).\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -973541.9 times -0.2\nAnswer: 194708.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, u: 2, c: 2, l: 1, o: 2, w: 8}. Give prob of picking 1 c, 2 e, and 1 u.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 0.5, -0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9408 or 9398?\nAnswer: 9408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -192? (a) 1\/7 (b) 16 (c) -2\/7 (d) -0.17 (e) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -8\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 7 = 47. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*v - 256*v - 559 = 102*v - 43679 for v.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.21 < 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3078.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2960*k**4 + 10*k**2 - 15*k - 11 wrt k?\nAnswer: 71040*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 2*z + 16 = 5*x, x = -4*z. Suppose -x*w + 415 = w. Calculate the remainder when w is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 9) to base 13\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(7776\/(-8)))\/(((-4)\/(-6))\/1).\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1237, -2364, -3405, -4360?\n\"Answer: 43*s**2 - 1256*s - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 2*w + w)*(1 - 1 - 4*w**3) + (10*w - 2*w**3 - 10*w)*(3 - 3 - 2*w).\nAnswer: 8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 47*b**2 - b - 4. Let g be k(-2). Let l = g - 1. What is the greatest common factor of 37 and l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, -0.0072, -1\/4, 14, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, w: 4, n: 2}. What is prob of picking 1 v and 2 w?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37613817 and 5004?\nAnswer: 150455268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3881052?\nAnswer: 2, 3, 7, 15401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -135 and 129477.4?\nAnswer: -17479449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**3 + 3*x**2 - 8*x - 9. Suppose -2*z - 5*r - 33 = 0, 4*z - 3*r = -0*r - 1. Give o(z).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2 + 9\/6. Let k(x) = 9*x - 1. Let b be k(s). Let r = b + -4. Calculate the least common multiple of r and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1919 and -516 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 + -2)\/(((-5328)\/(-448) + -12)*-4)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2424832 and 512?\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.904 + 0.096. Let l(p) = p**3 - 12*p**2 - 13*p + 2. Let f be l(13). Let k be f\/(-4) - 72\/16. Sort k, y, 0.\nAnswer: k, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 628 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 791232.\nAnswer: -791232.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-12))\/((-1)\/(-8)). What is the second smallest value in -2\/3, -3\/4, f, -0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6753 - -6752.7. Let p = -101 + 706\/7. Put p, t, -19\/5 in decreasing order.\nAnswer: p, t, -19\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5*r + 625, -r + 0*o = -5*o + 125. Let f be (1 + -1 - -2)*r\/(-50). Solve f*s + 1 - 11 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3000113123 (base 4) in base 6?\nAnswer: 24515455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**7\/70 + 5*g**2. Find k such that p(k) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 6*p = -815. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 13*z**2 - 4*z + 11. Let y(h) = -4*h**2 + h - 3. What is -4*d(f) - 14*y(f)?\nAnswer: 4*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -33840? (a) -0.1 (b) 0.4 (c) -4\/5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -5*g + 440. Let s = 5 + -2. Suppose d = -s*d + g. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105672?\nAnswer: 2, 3, 7, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 2:41 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1454427971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 15*y + 321740000 = 0. What is y rounded to the nearest one million?\nAnswer: 322000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2026 times 3\nAnswer: -6078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20220343 (base 6) to base 16.\nAnswer: 8d267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*s**3 + 17*s**3 + 9*s**4)*(0*s + s - 5*s)*(1 + 1 - 1).\nAnswer: -36*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 2 - (6 + -9). Solve 2*p + v*y + 13 = 0, 1 + 0 = p - y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 25*a**2. Let b(k) = -28*k**2 - 2*k - 119. What is b(q(t))?\nAnswer: -17500*t**4 - 50*t**2 - 119","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -23.31, 2\/3, -4\/15, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -18*v + 20. Let t(j) = -27*j**2 + 28*j**2 + 3*j**3 + 2*j**3 + 3*j - v - 1. Let q be t(1). Solve -6*p + q = -p + o, 3*p + 5*o = -14 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 471149704.095 - -66475.905. Let g = s - 471216208.99999966. Let u = g - -29. Round u to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (6 + 39 + -18) - -11) + (133 - 0)?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 233 - 161 - 35 + 19412*g.\nAnswer: 19412*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 9 + 21\/(-9))*(10 + -13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.027 and -0.03.\nAnswer: 0.09081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*j - 5*b - 24, 4*j - 20 = 5*b. Suppose -6 = -3*a - j. Let z(l) = l + 1 + a*l + 2*l**2 + 0*l**2. Calculate z(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -254, -969, -2366, -4673?\nAnswer: -8118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 3*u**5\/10 - 2*u**3\/3 - 16*u**2. Let m be s(2). Let k = 97 - m. List the prime factors of k.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21782 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of 83*v**5\/60 - v**4\/12 + v**2. Let x(l) = 3*l**2 + 20*l + 11. Let n be x(-6). What are the prime factors of o(n)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (7 - (11 + -6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -806 divided by -1.\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 9:07 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/10, 2, -1.7, -1\/8?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 59*g + 10. Let i(x) = -20*x - 3. Let n(h) = -17*i(h) - 6*s(h). Does 16 divide n(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 86*o - 3535. What is the tens digit of p(52)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 18*s. Let o(j) = 5*j - 3*j**2 - 5*j. Determine o(q(d)).\nAnswer: -972*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 0.3 (c) -7\/2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1269 - -1293. Sort 1, q, -1\/7 in descending order.\nAnswer: q, 1, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 6829 = -1729. Let l = -489 + p. Calculate the greatest common factor of l and 280.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 170*q - 6. Let v be h(1). Calculate the highest common divisor of 123 and v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150 and 42352725?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m + 40 = -4*x, -5*m - 80 = 4*x. Let n be ((-4)\/m)\/(-1)*-31 + -5. Factor 9\/5*q**5 - 27\/5*q**2 + 0 + n*q - 33\/5*q**4 + 9*q**3.\nAnswer: 3*q*(q - 1)**3*(3*q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -74*c - 11. What is l(-2)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 0 + 3*w + 1\/6*w**3 - 4*w**2. Calculate the lowest common multiple of b(16) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 4*i + y - 322, -5*y - 483 = 3*i. Let x = -132 - i. Calculate the remainder when 64 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/81)\/(2\/36).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7853505 to the power of 1\/3, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.092 and 8.\nAnswer: 0.736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 10*r - 15 = -4*h, 0 = -4*h - 20. What is the remainder when 139 is divided by r?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-x + 0*x - 3*x)*(0 + 0 - 1 + (-1 + 2 - 2)*(-1 - 2 + 4) + 1 + 2 + 0 + (-24 - 16 - 9)*(3 + 2 - 4)) to the form n*x + d and give n.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - k - v = 25, -5*v = 0. Let j be (1 + k)*2\/(-4). Let z be 3\/((-2)\/(0 + j)). Which is the closest to -1\/2? (a) z (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -41621, -165855, -372701, -662159, -1034229, -1488911, -2026205?\n\"Answer: -41306*a**2 - 316*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -110, -211, -404, -719?\nAnswer: -1186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30)\/(-1))\/((-12)\/8). Let z = 1 + j. Let u = z - -36. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 2. Let b = -2 + c. Is -3 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 146.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70021 by 2.\nAnswer: -70021\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*sqrt(1216) + sqrt(19) + -3*(sqrt(57)\/sqrt(3))**2.\nAnswer: -15*sqrt(19) - 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 13*k**2 + 23*k - 6. Let u be j(11). Let o(t) = -4*t - 3 + 9*t - 2*t**2 + t**2. Determine o(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (13 - (24 - 11))\/(0 + -3). Let k be (6\/4)\/(z - (4 - 1)). What is the third biggest value in 40, k, -0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = -3*g + 145130, 5*g - 150355 - 91666 = 3*j. What is the thousands digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2902*f**2 - 709*f**2 - 720*f**2 - 732*f**2 - 727*f**2.\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3503 is divided by 774.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1885 and 246065?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(-50)\/(-30)*4\/(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7.738957+39.93544\nAnswer: 47.674397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.802 - 19.\nAnswer: -21.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8838 and 1063506.\nAnswer: 3190518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a + 0*a + 24 + 4*a - a. Let b be i(-14). Let w = -12 - -17. What is the highest common divisor of w and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 x when two letters picked without replacement from ixxiixii?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24580\/31 + 793. Let t = 89\/279 - w. Let r = 180 + -175. What is the third biggest value in r, t, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqqhqhppppq. What is prob of sequence php?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 12*a**3 + 3477*a**2 + 54822*a - 13923 = 0.\nAnswer: -273, -17, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -10) + (47 - 59)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 1015210\nAnswer: 203042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/2)\/((-1)\/(-2)). Suppose v + c = 17. Calculate the smallest common multiple of 4 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 247420 and 5696.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*sqrt(171).\nAnswer: -3*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1846 + 33*v**3 - 1846)*(-1 + 3 + 0).\nAnswer: 66*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*c**2 + 4*c**3 - 568565 + 568565 + c to the form l*c**2 + j + q*c**3 + t*c and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 27 = -8*t. Determine p so that -8 + 4*p**5 - p + 0*p**4 - 32*p**2 - 8*p**3 + 8*p**4 - t*p = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 994145666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u + 10. Let q be f(10). Suppose 0 = -q*j + 3*j - 36. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 152 + -1372\/9. Let n = 73\/70 + -9\/14. Let l = 29 - 25. Which is the second biggest value? (a) n (b) -2 (c) q (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1471 (base 11) to base 13.\nAnswer: b28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j*o*t**2*x - 179*j*o - 122*j*t**2*x + 4*j*t*x - o*t**2*x wrt o.\nAnswer: 2*j*t**2*x - 179*j - t**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 + 36*q + 3. Calculate l(19).\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 667 and 0.09.\nAnswer: 60.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -424*a**3 - 123 wrt a?\nAnswer: -1272*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*j**2 + 2*j - 101*j**2 + 397 - 2*j + 52*j**2.\nAnswer: -j**2 + 397","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 4:18 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13171896791 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 16*t. Let q(m) be the first derivative of 2\/3*m**3 - 40*m + 37 + 0*m**2. Let r(w) be the first derivative of q(w). What is r(z(x))?\nAnswer: 64*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25690 = -2*t - 2*w, 1181 + 11640 = -t - 4*w. Is t at least as big as -12853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 11:22 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -1)\/((-26)\/13)*-23990. Let w = 113005 - g. What is w rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 5*q - 5798 = 0, -2*q - 2155 = -2*i + 3637. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 12:56 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -4, 36, 0, 2 in ascending order.\nAnswer: -4, 0, 2, 9, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**2\/11 - 28*h\/11 - 98\/11 = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3820 + 4041. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 8*t - 16*t + 4*t. Let p(m) = -10*m**2 - 9*m + 9. Let d(j) = j**2 + j - 1. Let n(w) = -18*d(w) - 2*p(w). Determine o(n(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3)\/i)\/(i**(-5\/3)\/i))**18 assuming i is positive.\nAnswer: i**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-36)\/9 - 17\/(136\/(-64)). Let q(b) = -5*b - 2. Let c(y) = 4*y + 1. Determine g*c(u) + 3*q(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 76\/95 - 108\/110. What is the closest to h in -1\/7, -3\/2, -1\/2, 3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.5506806 months?\nAnswer: 0.004589005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33689*h**2 + h - 33689*h**2 - 1 + 24*h**3 to the form x*h**2 + f*h + j + o*h**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 52*d**3 - 2*d**2 + 3*d - 2. Let o be v(1). Let n = o + -47. Let i be n + 30\/(-8) + 57\/12. Solve f - 5*s = -27, -3*s + 4*s = -5*f - i for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a538 (base 11) in base 10?\nAnswer: 13956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 + 2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14123.\nAnswer: 29, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -449, -523, -597, -671, -745?\n\"Answer: -74*d - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 0) + ((-33)\/(-24))\/(286\/104)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*o)*(2*o**4 + 0*o**2 + 0*o**2) + 0*o**5 - o**5 - 6*o**5.\nAnswer: -11*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -670*k + 1937*k + 10136 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 568160395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1176 and 1680.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 10:21 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-3)*(-6 - 36\/(-8)). What is the second derivative of -5*l**k + 10*l + 12*l + 12*l**2 - 5*l**2 wrt l?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*q**4 + 20*q - 11*q - 110*q**2 + 87*q**2 - 19*q to l*q**3 + j*q + u + i*q**4 + o*q**2 and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 3672 = -s. Let w(i) = -i**3 - 7*i**2 + 6*i - 2. Let n be w(-5). Let z = n - s. What is z rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 959*n - 95 = 912*n - 1. Factor u + 5\/3*u**n - 2\/3.\nAnswer: (u + 1)*(5*u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60291)\/1566)\/(126\/(-8)).\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 175\/(-125) - ((-854)\/35 + (-8)\/(-8)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.3 (b) 11 (c) -1\/5 (d) -2\/17 (e) 7 (f) -1137\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -12, -19, -26, -33?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-12)*24\/(-8)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 4*w. Let z be a(5). Suppose -10 = 2*d, -z*o + 105 = -0*o - 2*d. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -252304304 - 3?\nAnswer: -252304311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z**2 - 7*z. Let o(a) = -13*a**2 + 13*a. Let q(y) = -11*i(y) - 6*o(y). Let t be q(0). Let j = -545 - -549. Solve 2*u = j - t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1584) - (sqrt(44)\/sqrt(4) + -2) - (2*(sqrt(275) + 0 + sqrt(275)) - sqrt(275) - sqrt(275))**2.\nAnswer: -1098 - 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) -0.3 (b) -3\/13565 (c) 2\/15 (d) -5 (e) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 961 - 961. Which is the third smallest value? (a) 8 (b) -2 (c) v (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.09614 + -0.08686. Round b to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 718, 1463, 2208, 2953?\nAnswer: 3698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 22 = -2*c, 31 = 4*c + c - 2*y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -125)*(10728\/26820)\/((-6)\/5).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 79 + 2 + (-10 - -17).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -11*d**2 - 4*d - 24. Let n(q) = -3 - 24 + 16 - 4*q**2 - 2*q - q**2. Let s(k) = -9*n(k) + 4*w(k). Calculate s(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, -3, -43, -85, -123?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -66, -1\/8, 1.3, 1\/59, 3, 2.5?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nvo when three letters picked without replacement from oonoannwnnnnnannv.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3755 divided by -5\nAnswer: -751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -215510?\nAnswer: 215514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1226 + -19.3?\nAnswer: -1245.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.71939364 rounded to four dps?\nAnswer: -1.7194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 14 + (2 - 4) - (45 - 44)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.811992 minus -0.4?\nAnswer: -1.411992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 6*o - 7. Let t be ((-50)\/40)\/(10\/(-8) + 1). Does 4 divide x(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -97625*t**2 + 14584 wrt t?\nAnswer: -195250*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*q - 43 - 57 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -f - y, 4*y = 5*f - 48. Differentiate 2 - f*p + 5*p - 4 wrt p.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 567 - 516. What is the remainder when r is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of 2*z**6\/15 + 281*z**5\/60 - 85*z**2. Find the third derivative of d(o) wrt o.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*f**2 + 0*f - 85*f**2 + 0*f as s*f + h*f**2 + g and give h.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.95 - -1.07. Let g = 6.88 - 7. Let x = a + g. Is -0.3 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 44849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -649189 by -8893.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -809*r + 1240542 + 3*r**2 + 467*r**3 - r**5 - 1240540 + 406*r**3 wrt r.\nAnswer: -60*r**2 + 5238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*q + 6. Let z = -12 + 7. Which is the second biggest value? (a) q (b) z (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0325 - 46\nAnswer: -46.0325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r - 0*r - 20, r = 3*z - 13 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1190 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 11*s**2 - s - 6. Let c be l(-11). Let p(g) be the first derivative of g**2 + 2*g + 1. What are the prime factors of p(c)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 89048?\nAnswer: 5\/89048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (9 + 2) - (5 + 189\/7)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134381430 divided by 8958762.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 364 divide 485780204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.7 - -1.3. Which is the third biggest value? (a) j (b) -0.5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15740\/1574*18\/3*6\/20.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 - 2*f**2 + 1. Let u(o) = -o**2 - 2*o - 1. Let m be u(0). Let a be k(m). Let q(y) = 129*y - 2. Is q(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 1e?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 12:45 PM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*m = -131*m + 682 - 301 + 724 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242870 = 790*q + 328190 for q.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 92 = 68 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.12, 0.5, -4, 1\/115, 14.9, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -32 (b) 15\/376 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -331 - -333. What is d in 3*d**2 + 4*d + 30*d**3 - 10*d**3 - 16*d**3 + 7*d**i = 0?\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10852 at most as big as -10890?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**3\/k)\/((k*k**(-1))\/k))**(-13\/3)\/((k\/(k*k**(-1\/2)))**(-8)\/(((k*k\/(k*k*k**1)*k*k)\/k)\/(k*k**7))) assuming k is positive.\nAnswer: k**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1267393 + -1.1.\nAnswer: -0.9732607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, b: 3, z: 7, g: 2}. What is prob of picking 1 g, 2 z, and 1 b?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) 1 (b) -15 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0034724915 rounded to 5 decimal places?\nAnswer: 0.00347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010102 (base 4) in base 9?\nAnswer: 12546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(((-2)\/4)\/((-1)\/3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*h + 675 = 3*c, -h + 889 = 4*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 1)*(3*x - 2*x + 0*x) - x - 2*x + x)*(2*x + x - x).\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -2\/15, 248\/7, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ws when two letters picked without replacement from zzszpzspsppzssspsw?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6) - 115\/(-15). Let z(r) = r**2 - 8*r + 2. Let m be z(u). Let w(t) = t**3 + 7*t**2 + 5*t + 4. List the prime factors of w(m).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33090 is divided by 1946?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -43269*l + 778844. What is s(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1023010529 to the nearest integer?\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3348 and 72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 75c84 (base 15) to base 5\nAnswer: 43432244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2240 + 1532. Let d = -292 - v. Let s = -292 + d. What are the prime factors of s?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3*i + 5, -4*i - 4 - 1 = -3*h. Let c(w) = w**3 + w**2 - w + 1. Let l = 39 - 40. Let s(k) = -8*k**3 - 7*k**2 + 4*k - 5. Determine i*c(x) + l*s(x).\nAnswer: 3*x**3 + 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/15 and 35\/1158?\nAnswer: 5790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4\/2 - 1116*q**3 + 25920*q**2.\nAnswer: 3*q**2*(q - 720)*(q - 24)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 530443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 386854599 and 277.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zb when two letters picked without replacement from qzbqq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2228312\/(-16)*8\/28*-7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 2971868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6601100 divided by -35300.\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - 21?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnnw when four letters picked without replacement from {r: 2, n: 4, z: 1, w: 7, i: 1}?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*t**2 - 3420*t - 736 = 0. What is t?\nAnswer: -46, -8\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 12:18 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 28 and -0.9.\nAnswer: 27.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3730357 - -5?\nAnswer: 3730361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*u + 51 = 0, u + 0*u - 272 = -4*j. Suppose 7 = -5*q + j. Calculate the remainder when q is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 461541206.\nAnswer: 2, 7, 29, 31, 36671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 + 1 = 3*m + 5*c, -3*c = -5*m - 16 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 10 - 0. Suppose 0 = z*h + 25, -4*l + 5*h + 243 = 34. What are the prime factors of (4 - l)*(-2)\/6?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*k = 2*k, 3*o = -3*k. Suppose 0*y + 3*y = 3*a + 18, 4*a = -8. Let q(z) = y + z - 3 + 1. Determine q(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 5*c**2 + 5*c + 6. Let g be f(-4). Suppose g*l - 43 = -5*b, -2*l = -5*b + 12 - 5. Solve -3*y - q - 4 - l = 0, -4 = q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*b**2 - b - 669 + 66*b**3 + 19*b**2 + 28*b**2.\nAnswer: 66*b**3 + 2*b**2 - b - 669","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1587, -3151, -4685, -6183, -7639?\nAnswer: -9047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29786172.\nAnswer: 2, 3, 13, 41, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(15 + 455\/(-30)). Solve -17*a + 132 - 13 = g for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s + 3. Let q(o) be the second derivative of o**3\/2 + 2*o**2 - 26*o. Let x(k) = -13*k - 18. Let n(t) = 18*q(t) + 4*x(t). Give c(n(z)).\nAnswer: 6*z + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -4*w**3 + 134*w**2 + 42*w + 794. Calculate o(34).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 4*k**2 - 5*k. Let u be x(-4). Suppose a + 4 = 0, 4*n + 316*a = 313*a + 8. Solve 4*r + 44 - 14 = 2*t, -u = t + n*r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, d: 2, e: 6, t: 2, y: 3}. Give prob of picking 1 d and 2 y.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 131828 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 62206 or -2\/3?\nAnswer: 62206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by -7812255\nAnswer: 9\/2604085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155138 is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 5*d**2 + 4*d + 5. Let p be x(-4). Solve 0 = p*r - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1 = -y, 2*q = -3*y - 0 + 10. Suppose -f + 6 = 2. Calculate the greatest common factor of y and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*y + 4 = 0, 28 - 8 = 3*c - y. Suppose 0 = -5*w - a - c - 67, -4*w = -2*a + 60. Let b = 98 + w. What are the prime factors of b?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0, 4, 388, 2\/11, 26, -1\/4?\nAnswer: 388","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.92858 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2853 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y - 2175 = -5598. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x**2 - 10*x - 21. Let v(m) = m**2 - 2*m - 4. What is 2*l(r) - 11*v(r)?\nAnswer: -r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-580)\/(-58)*(-6)\/20 + (-1484)\/(-492)?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8456848661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5949, -5783, -5329, -4443, -2981, -799, 2247, 6301?\nAnswer: 11507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1098, 1880, 3508, 6246, 10358, 16108, 23760?\n\"Answer: 44*p**3 + 159*p**2 - 3*p + 898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 390\/104*(-4)\/3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -3*q - 4 + 1, 4*l + 5*q = -13. What is the closest to -0.1 in -2, 0, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(9\/(-30)))\/(240\/144).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1006398757*y**2 + 917514176*y wrt y.\nAnswer: 2012797514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -975 divided by 39?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 3*a**2 + a - 1. Let w be p(3). What is the units digit of 0*1\/w + 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 h when three letters picked without replacement from hhhhhhhhhhhhhxh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16025?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 818 or 735?\nAnswer: 818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41.4 + 46.4. What is the nearest to -0.5 in 1\/12, 3\/4, 0.3, t?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvkvkvkkkkkv. Give prob of picking 2 k.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31867174 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10652122, -10652121, -10652120, -10652119, -10652118?\nAnswer: -10652117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.00618 + -0.00618. What is the second smallest value in 0.01, 0.1, -1\/3, i, 1\/3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 135713148 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -s + 2*k - 7, 26 = -2*s + 3*k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(-7) - 22\/(-18). Let q be ((-14)\/(-42))\/((32\/(-12))\/(-2)). Which is smaller: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 20, 182, 460, 860, 1388, 2050, 2852?\n\"Answer: u**3 + 52*u**2 - u - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebwhbhwbeebueee. What is prob of sequence ee?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 j when four letters picked without replacement from kwwkkjkkjwwjkwwwwwjw?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16044345*r**4 + 253497*r**2 - r + 21.\nAnswer: -385064280*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*h + 5*h + 3*h)*(-19 + 62 - 14)*(0 + 0 + 2) to the form k*h + t and give k.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -5*b**3 + 2*b - 10. Let a(l) = 9*l**3 - l**2 - 5*l + 20. Let n(y) = -4*a(y) - 7*i(y). Give n(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.14 - 40.86. Let a = 39 + l. Let r(v) = 2*v - 10. Let q be r(7). What is the third biggest value in q, 12, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 539 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 194*n - 14*n**2 - 194*n + (2*n - 2*n + n)*(-2*n + 3*n - 3*n) to k + z*n + x*n**2 and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-246)\/2*(-4)\/(1 + 3). Suppose -u = -17*d + 30. Which is bigger: 1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 49*p**2 - 3*p - 29. Let g(f) = 74*f**2 - 5*f - 43. Let s(a) = a + 8. Let v be s(0). Let o(u) = v*r(u) - 5*g(u). Is o(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -10. Let g be 1*v\/2 - -5. Let s = 6 - g. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*w - 6. Let m be (3\/w)\/((-2)\/24). Let i = m - -20. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*3\/(-9) - -11. Let x = 11 - i. Suppose x*j + 105 = 3*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*j - 18 = -4*l, -13 = 3*j - 4*l. Let w(d) = -8*d**2 - 66*d. Let g(n) = n. Let u(f) = j*w(f) + 8*g(f). Find the second derivative of u(m) wrt m.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a - 5. Let i be h(5). Suppose -x + 2*x - 27 = i. What is the remainder when x is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -556, -573, -592, -613, -636?\n\"Answer: -s**2 - 14*s - 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227301.\nAnswer: 3, 75767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 13) to base 5.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - y. Let v(a) = -2 + 3 - 2 + 0 - 4*a - 2*a**2. Let h(o) = -4*q(o) + v(o). What is the derivative of h(i) wrt i?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5503, 1\/23, 2, 9\/10?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, n: 1, c: 4, f: 3}. What is prob of sequence fll?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(216) + sqrt(24))\/(sqrt(1152) + sqrt(1152)*-5 + sqrt(1152))*5)**2.\nAnswer: 9025\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 267452797 to the power of 1\/3, to the nearest integer?\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 10566.09\nAnswer: 21132.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7399915 is divided by 2466638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2144, 18, 79 in decreasing order.\nAnswer: 2144, 79, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(847)*-2 - sqrt(847)) + 1) + (-2 + 4 + sqrt(112))**2.\nAnswer: 110 + 214*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*h - 2*r, -2*h + 0*h - 5*r = 35 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146072 is divided by 48686.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6044199 or -84618805\/14?\nAnswer: -6044199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (36\/(-8))\/((-6)\/(-32)). Let o be c\/(-42) + -3 + 3. Put o, -0.1, 3\/4 in increasing order.\nAnswer: -0.1, o, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 214136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 466.2207 nanograms in milligrams?\nAnswer: 0.0004662207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.97 and 0.2.\nAnswer: 0.394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -25453534\nAnswer: -1\/25453534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 84*a + 6 = 82*a, -4*r + 16 = -5*a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*y + 4*y = 4, 2*y - 8 = 4*g. Let u be (g\/6)\/(2\/(-8)). Determine o, given that o**2 + 1\/3*o - 1\/3*o**3 - u*o**4 - 1\/3 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 79 to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**6 + 1116*c**5 + 4*c**2 + 15.\nAnswer: -120*c**3 + 66960*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5238 != 5239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/51804 and 157\/262548?\nAnswer: 377806572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 201380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53400 and 10040?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -37890 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -40, -65, -94, -127, -164, -205?\nAnswer: -250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 490.78 - 490. Let w = y - -0.22. What is the closest to w in -0.5, 0.1, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 5*p**2 + 3*p + 1. Let j(z) = 2*z**3 + 5*z**2 + 4*z. Let k(f) = 2*j(f) - 3*m(f). Suppose 54 = 10*d - d. What is the tens digit of k(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -221*r - 650. Give x(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 d when three letters picked without replacement from rvzrdrvdvzzrrrvrr?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-630)\/5670)\/(6\/(-9))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -157*a - 298*a**2 + 56*a + 101*a + (-2*a - 2*a + 6*a)*(-a - a + 3*a) - 3*a**2 + 3*a**2 + 2*a**2.\nAnswer: -294*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3875\/1000 - 1\/(-8). Let w(j) be the second derivative of 0 + 0*j**s + 1\/4*j**3 + 22*j + 1\/2*j**2 - 1\/40*j**5. Factor w(y).\nAnswer: -(y - 2)*(y + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65*m**4*y + 6*m**3*y - 78548*m**3 + m**2*y - 22853450*m - 2 wrt m?\nAnswer: -1560*m*y + 36*y - 471288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p*p*p\/p**2)*p))**39*(p*(p*p**(-2)*p)\/p)\/p**(-3\/4)*((p\/(p*p\/(p**2*p)))\/p)**(-43)*(p\/p**5)\/(p**(-1\/6)*p) assuming p is positive.\nAnswer: p**(-565\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12.118 and -1060?\nAnswer: -12845.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2840)\/(-56) - (-2)\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 787116.8um in nanometers?\nAnswer: 787116800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, -1\/5, 4\/7, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/3 + 20\/3. Suppose 0 = c*l - 2*l. Let i = l - -4. Solve 0*s - 8 = 2*s + 4*j, 2*s - i*j - 8 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69*s**4 + 3*s**2 + 587*s wrt s?\nAnswer: -828*s**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 2*c - 15. Give s(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*y + 8 = 0, 5*y - 7 = -2*t + 3. Suppose t = -5*f + 61 - 36. Suppose -4*b = l - 693, -f*b = -2*l + 1250 + 162. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 119 - 16*z - 13*z - 8*z + 18*z. Give i(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/1*1 - 0. Let z = 366 + -361. Let w(v) = -10 + 6 + 0*v + z + 5*v. What is w(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(117) - (sqrt(13) - sqrt(130)\/(sqrt(10)*-4)))**2.\nAnswer: 637\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -28*v - 250. Determine k(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + a?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 960506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, q: 1, a: 1, v: 2}. What is prob of picking 3 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 - -644. Let g = 615 - a. Solve g - 9 = 4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -673223*a**3*q - 173*a*q - 111*q wrt a?\nAnswer: -4039338*a*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 0 + 15*b - 4*b + 16*b.\nAnswer: 27*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2819*k - 487. Let z(i) = -2819*i + 585. Give 6*p(v) + 5*z(v).\nAnswer: 2819*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - w + w)*(-1 + 1 + 2*w)*(-6944*w**3 - 797*w**3 + 12029*w**3).\nAnswer: -8576*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, i: 2, a: 2, j: 4, z: 2}. What is prob of picking 2 a?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 10. Let x = v - -0.1. Let i = x - 1.2. What is the nearest to -0.1 in i, 5, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - 26.8. Let n = t - -27.1. Let z = 52\/209 + -3\/19. What is the closest to n in z, -0.4, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -6, -4, -85, -2 in decreasing order.\nAnswer: 4, -2, -4, -6, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 6 - n**3 + 0 - 5 + 9*n as s*n**2 + f + u*n + z*n**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4256, 8503, 12750, 16997, 21244, 25491?\n\"Answer: 4247*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(80) + 1 + 0 + 1 + (sqrt(80) + 1 - sqrt(80)) + -3 + -1)*-6)**2.\nAnswer: -288*sqrt(5) + 2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -73, 5, 4\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1523*v + 23776 + 168747 - 17378 for v.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 93160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 5421412, 5421392, 5421334, 5421220, 5421032, 5420752, 5420362, 5419844?\n\"Answer: -3*f**3 - f**2 + 4*f + 5421412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 146, 135, 120?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 8:22 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/7502 and 93\/8?\nAnswer: 30008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of -p**4\/12 - p**3\/6 - p**2. Let q be f(0). Let v = 30 + -327\/11. Is q at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 128*v + 89*v - 25*v. Let c(b) = -41760*b - 41793*b + 83551*b. Give k(c(z)).\nAnswer: -384*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -465664 (base 8) in base 7?\nAnswer: -1230343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 5*q + 5*v, 18*v - 15 = 15*v. Sort 5, 7, q in descending order.\nAnswer: 7, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 0 + 8, -q + 2*h + 16 = 0. Solve -q = -3*b - 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 381560 and 710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}