diff --git "a/data/dm_maths/full_data_1/1830_11255.jsonl" "b/data/dm_maths/full_data_1/1830_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1830_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let k = -0.121513011 + -3.878486939. Let r = 4 - 0. Let a = r + k. What is a rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5372000 to the nearest one hundred thousand.\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2\/2*(-26)\/(-26)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((24\/60)\/(12\/(-10)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 312*t**5 + t**3 + 1560*t**2 - 5157*t - 521.\nAnswer: 6240*t**3 + 6*t + 3120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 1 (b) 5\/2 (c) 10\/21 (d) 9 (e) 0.29 (f) 99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(396) - sqrt(396)*-2) + -4 + sqrt(396) + 0 + sqrt(396))*4.\nAnswer: -384*sqrt(11) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -77759.198 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 - 3*c**5 + c**4 + (0*c**3 - 2*c**3 + c**3)*(-3*c**2 - 5*c**2 + 6*c**2) - c**5 - 31 + 31.\nAnswer: -2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + h**3 + (-5 + 5 + h)*(3*h**2 + h**2 - 2*h**2) + 2093*h**3 - 6*h**2 + 166*h**3 - 230*h**3 to the form d*h + v + i*h**2 + m*h**3 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 12*b = -11*b - 3369, -2*t + 3*b = -3365. What is the lowest common multiple of t and 16?\nAnswer: 6736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 441 and 98?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/2*(504\/(-10))\/(-3). Let w = l + 153. List the prime factors of w.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/11)*v**4)**(1\/63) assuming v is positive.\nAnswer: v**(47\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s + 36*s = 102. Solve -26 = 4*q - 2*j + 5*j, -3*q - s = j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -493 + 493. Is n > 304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2 - 0. Suppose -3*f = 2*f - 25, -l*k + 3 = -f. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201913122, -201913127, -201913132, -201913137?\nAnswer: -201913142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3\/7 - 1308*n**2\/7 + 372*n - 1300\/7.\nAnswer: 4*(n - 325)*(n - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-6))**(7\/5)\/((c\/(c\/(c*c**(-16)))*c)\/c**(-8)) assuming c is positive.\nAnswer: c**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -606, -5, 1.\nAnswer: -606, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -5*q + 6*q - 55, 4*t - 3*q = 25. Suppose 5*k - 40 = -5*f, -k - 2*k = -9. Solve -f*x + t = -0*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/249 and 15857\/6060*((-2)\/(-2))\/(-2)?\nAnswer: 9960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + ((-1)\/(-3) - 904\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/(-1) - 1) + (-69651)\/8829 + (-2)\/18\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**3\/2 - 333*g**2\/2 - 3*g\/2 + 333\/2 = 0. What is g?\nAnswer: -1, 1, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 9:50 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75\/4*u**2 - 77\/4*u - 13\/2 + 1\/4*u**4 - 23\/4*u**3.\nAnswer: (u - 26)*(u + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000222496816 to 7 decimal places.\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 346 by 415.\nAnswer: 346\/415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-11864)*2)\/((-1)\/(-2)). Let h = i - -63841\/35592. Calculate the common denominator of h and 67\/30.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.244 + 5.2. Let t = s - -0.085. Let r = 0.15 - t. Round r to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1790098 - 1029*n**2 + 1790092 - 512*n**2 to the form y*n + h + r*n**2 and give r.\nAnswer: -1541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6149 - 6144. Sort 1, -0.1096, m, 0 in descending order.\nAnswer: m, 1, 0, -0.1096","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 753161 is divided by 1932?\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*x + 56*x - 10 - 22)*(2 - 6 + 2)*(5 - 2 - 2)*(1 - 3 + 1).\nAnswer: -2*x - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - o + 12. Let q be (-1 + o)\/(-3) + 4. Suppose -q*x - 5*h - 20 = -3, -2*x = 4*h + 14. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1843 is divided by 70?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(7) + sqrt(7) + -2)*4 - sqrt(7))*3)**2.\nAnswer: -1008*sqrt(7) + 3663","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2316*m**4*w**2 + 612*m**4 - 5666007*m**2*w + m*w**2 wrt m.\nAnswer: 55584*m*w**2 + 14688*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 - 3*d**2 - 6. Let o(q) = q**3 + 1. Let t(g) = -n(g) - 3*o(g). Give t(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-4 - (-4 - -5 - 5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 65 - 69. Let a(b) be the second derivative of -1\/27*b**3 + 0*b**4 - b + 0 + 1\/90*b**5 + 0*b**m. Factor a(z).\nAnswer: 2*z*(z - 1)*(z + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, -3, 36, 1 in ascending order.\nAnswer: -4, -3, 1, 4, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z + 2. Let i = 14 - 9. Suppose -3*t + 1 = -i. Suppose -t*m - 3*m = 10. Give y(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -6 - 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 87, -29, -5 in decreasing order.\nAnswer: 87, -5, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507826?\nAnswer: 2, 11, 41, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmmz. What is prob of picking 1 q and 1 z?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4609\/3040 + 25\/608. Find the common denominator of 297\/(-135) - 1286\/(-280) and m.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29953480 to the nearest 10000.\nAnswer: -29950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4812.\nAnswer: 2, 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**5 + 1 - 1 + (0 + y**2 + 0)*(-4*y**3 - y**3 + 10*y**3).\nAnswer: 4*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 209322?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - 2. Let x(l) = -22*l + 8. Let k(u) = 52*u - 15. Let d(i) = 2*k(i) + 5*x(i). What is the units digit of d(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (sqrt(76) + -1*sqrt(76)*-1))\/(sqrt(100)*4).\nAnswer: -sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 4 - 21) + -1135 + 1153?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g**2 - 61*g - 162. Give d(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 4 - 1 + 3 - 3. Suppose 0 = 4*a - 0*a - 16. Let u be 0*(-2 + 3) + a. Give s(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 330 and 1450405.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/3 and -31\/374223?\nAnswer: 374223","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.19 and -26?\nAnswer: -30.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 + 16*u + 48. Is 60 a factor of g(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 2740755.\nAnswer: -1096302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 14*p = -288. What is the remainder when 115 is divided by p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -z**3 - 14341640*z**2 + 2*z + 14621099 wrt z.\nAnswer: -3*z**2 - 28683280*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 46*b + 101. Let t(x) = -45*x - 101. Let y(m) = -4*d(m) - 3*t(m). Let s be y(-2). Let o(l) = -l - 7. Give o(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41*y**3 - 1 + 59*y**4 - 61*y**4 + 146*y**2 - 211*y**3 wrt y.\nAnswer: -48*y - 1020","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3454294193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 1, -5, 18, 8, -13 in decreasing order.\nAnswer: 18, 8, 3, 1, -2, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 8*o - 5 + (-1 + 3 - 1)*(-4*o + o + 5*o))*(-4*o + 6*o - 4*o)*(0*o + 3*o - 2*o) in the form s*o**3 + n*o**2 + x*o + u and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 w when three letters picked without replacement from iwiwiiiwiwwwwiww?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -30*v. Let g(n) = 2*n - 10. Let u be g(6). Let y(r) = -3622*r**u - 2*r + 2*r + 3621*r**2. Give f(y(q)).\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 - 8. Suppose 3*o + 0*o - 18 = 0. Suppose 6 = 3*w - o. What is the lowest common multiple of f and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21018 and 12204?\nAnswer: 378324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28188 and 3364.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 33335*f - 5. Let l be k(3). Round l to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 10:53 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (2 + 6 + -24 - -42)) + 1 + 76.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9059 is divided by 1482?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, r: 7}. What is prob of sequence qr?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 5 = -2, -4*f + j + 3 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 1 - ((3 - -7) + -11).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/((-12)\/54)*-8. Let t(n) = 2*n**2 + 57*n + 168. What is the tens digit of t(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2971a (base 13) in base 5?\nAnswer: -4444401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 3 - (-175)\/175)\/(40 - 4)\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j + 2*j + 2 + 10*j)*(-3*j**3 - 2 + 2) + 0*j + 3*j**4 - 4*j + 3*j.\nAnswer: -45*j**4 - 6*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2 + sqrt(243) + -1) + 0 + -3.\nAnswer: -45*sqrt(3) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/20 - 1\/5. Factor 2 + c + n**2 + 2*n + 0*n**2 + n.\nAnswer: (n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -217*q - 199*q + 417*q - 94 - 84 + 3360*q**2 wrt q.\nAnswer: 6720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 43*u**2 - 2. Suppose 0 = d + 2*f - f - 22, 4*d - 84 = -2*f. Suppose -5*y + 3*v = 6*v + d, -7 = 2*y + v. What are the prime factors of n(y)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 669 by -50.\nAnswer: -669\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 * 6888.\nAnswer: -619.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 92 + 158 = -2*m, -3*v + 378 = -4*m. Solve 4*b + v = 98 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -339 * 243088.\nAnswer: -82406832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2149 + -2148.999998887. What is j rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -2*j**5\/85 + 3*j**4\/34 - 4*j**2\/17 - 3. Determine q, given that l(q) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 15, b: 5}. What is prob of sequence gb?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-6)*(-6)\/2. Let r(v) = -v + 2 - g + 3 - v**2 - 1. Calculate r(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3*z - 2)*(3*z**3 - 6*z**3 + 4*z**3) + 4*z**4 - 7*z**4 - 6*z**4)*(-3*z + 0 + 0).\nAnswer: 36*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 189.4053ml to litres.\nAnswer: 0.1894053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 365 + -188. What are the prime factors of l?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401444905.\nAnswer: 5, 67, 1198343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + x**2 - 1. Let b be z(-1). Let r be 1*(b + 0) - -3. Solve -r*k + 9 = -5*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -30630427?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006486 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(0*s + 4*s - 2*s) + s - 3*s + 0*s + s + s - 3*s + (6*s - 101 + 54*s + 99)*(-18 - 8 + 95).\nAnswer: 4133*s - 138","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 387\/1032*4\/(-4).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -192 + 153 + (2 - -21)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16444 + -16449. What is the closest to 1 in t, -510, 1\/6, -0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 11*i**2 - 11*i + 24. Let u be t(10). Suppose -4*z = -6*z + 40. Suppose -9*o + u*o = z. Solve 4*g + 4 = -o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4697\/154)\/((-1*1)\/(-4)*(-1324)\/(-662))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6aab2 (base 13) in base 3?\nAnswer: -100220201120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 AM and 4:42 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 0 + 206. What is the remainder when c is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-33*1)\/((-9)\/6). Let z = 17 - 4. Let a = m - z. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 194564 + 194377 = -5*w, 5*w + 167 = -3*f for f.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -116*u. Let n(h) = -95*h**2 - 140*h - 105. Let z(p) = -2*p**2 - 4*p - 3. Let b(i) = 2*n(i) - 70*z(i). Determine c(b(f)).\nAnswer: 5800*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 25 + -327?\nAnswer: -302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309162195.\nAnswer: 3, 5, 37, 185683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 6*q**2 + q - 10. Let p = -25 + 30. List the prime factors of x(p).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25716 (base 10) to base 4.\nAnswer: -12101310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17647435.\nAnswer: 5, 13, 271499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: -1 - -1 - (-13 + (45 - -13))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 + 0*u**4 - 2*u**4 + (u**4 + 0*u**4 - 11*u**3 + 20*u**3)*(2 + 5 - 5).\nAnswer: u**4 + 18*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 11*g. Suppose -6 = 3*u - 6*u. Let a = -2364 + 6054. Let q(o) = -5*o**u - 3690*o + a*o. Calculate m(q(v)).\nAnswer: -55*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a**(-7)\/a)*a**(-2)*(a*a\/(a\/a**(1\/3)))**(-9\/8) assuming a is positive.\nAnswer: a**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4269 is divided by 594.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + (-3)\/(-3 - 0). Let r = 10 - 6. Suppose -r = -t + i. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**7\/6 - f**4\/4 + f**3\/3 - 56*f. Find the third derivative of h(d) wrt d.\nAnswer: -420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2786032 divided by 4247.\nAnswer: 656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 7) in base 16?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132845*j**3\/3 - 941866160*j**2\/3 - 11556685*j - 106350 = 0 for j.\nAnswer: -3\/163, 7090","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1 (b) -11 (c) 31 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 11:32 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -11266\nAnswer: 4506.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 117 (base 12) to base 6.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3945 - 3945. Let t(s) be the second derivative of 4*s + 0 - 1\/4*s**4 + 0*s**3 + 9\/20*s**5 + l*s**2. Find the third derivative of t(w) wrt w.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011010011011010101 (base 2) to base 12\nAnswer: -15a419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 39*h**4 + 273*h**3 - 39*h**2 - 300*h + 27. Let d(w) = -3*w**4 - 21*w**3 + 3*w**2 + 23*w - 2. Let s(t) = 27*d(t) + 2*y(t). What is x in s(x) = 0?\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11001001100100101110 (base 2) to base 14\nAnswer: -176c6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from pnaisop?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-34 - (-6 - 8)) - -5?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 + 31*l**2 - 19*l + 51. Let j be o(15). Which is smaller: -6 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-1)*(-606)\/(-18). Let q = b + -61. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**3 - w**2 - 38*w. Determine l(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*k - k - 24*k as i + n*k and give n.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -873*-0.8\nAnswer: 698.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -742*g + 112. Let r(k) = 33*k - 5. What is -5*n(t) - 112*r(t)?\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5620 = 5*k, -k - 4*v - 621 = -1762. What is the highest common divisor of 118 and k?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 138163006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-30)\/6 - -7) + 6\/2. Let u = -6 - -2. Let d(z) = z**2 - 5*z - 5. Let i be d(5). Put u, j, i, 0 in decreasing order.\nAnswer: j, 0, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139845131?\nAnswer: 139845131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(448) + (sqrt(448) + sqrt(448)*-1 + sqrt(448) - sqrt(448)))*1)**2*-3.\nAnswer: -1346","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39819648.\nAnswer: 2, 3, 11, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 a when three letters picked without replacement from {a: 11, l: 2, n: 3, d: 3}?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2 - -1)*3)\/((-1)\/1). Let g = 16 - 9. Let a be (-8)\/(-4) - g*-1. What is the greatest common divisor of s and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 15. Let g be (1110\/56)\/5 - s. Sort g, -4, -5 in descending order.\nAnswer: g, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38 - 6) + -261 + 216?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*1*(11 + -10). Find the second derivative of 34*i - n*i - 7*i**5 + 34*i**5 - 20*i**5 wrt i.\nAnswer: 140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 32\/(-10)*(3 - 8). Let z = y - 5. What is the remainder when 21 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428854 is divided by 30627.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**5\/30 - j**2. Let h(c) = -11*c**2. Determine h(z(r)).\nAnswer: -44*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -10*d - 1. Let n be m(-2). Suppose 3*f - 6*f = v - n, 5 = 5*f - 5*v. Solve -a + f = -0*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 13.55. Let i = v - 0.05. Let j = 4 - -1. What is the second biggest value in i, j, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 12:31 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 5, -412 - 289 = -4*j + m. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5\/3 (b) -9\/10 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168 divided by 3.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 15 = b + 2*v, 0 = -2*b - 3*v - 5. Let o(j) = 9*j**3 + 5*j**2 + 5*j + 5. Let r(i) = 14*i**3 + 7*i**2 + 7*i + 7. Determine b*o(x) + 5*r(x).\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 42, -4 in descending order.\nAnswer: 42, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 2*s + s. Let m(f) = -6*f - 28. Is m(s) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 5) in base 16?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 5*u = 8*q + 272, 244 = 4*q + 2*u. What is the remainder when q is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - 11*g + 4 = -16*g + 10*g, 0 = -3*m - 3*g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -69 and -10.\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -x**4\/12 - 5*x**3\/3 - 7*x**2. Let b be p(-7). Suppose -v - 2*v + 83 = -l, 2*v + b*l - 60 = 0. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 11) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*s - 0*s - 51, 46 = -2*s - 2*f. Let a be -2 - -1 - 18\/s. Let x = 13\/2 + -23\/4. What is the closest to -1 in -4, x, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 12:54 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0. Let m = 13.6 - 1.6. Let z = m + -11.4. What is the biggest value in q, z, 2\/11?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3 + sqrt(272) + sqrt(272) + -1 + -2)**2 - (sqrt(85)*-3*4)\/(3*sqrt(5)*6).\nAnswer: 2*sqrt(17)\/3 + 1086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhvqclehlqhe. What is prob of picking 1 e and 1 l?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4*x + 4. Let g(u) = 3*u - 2. Let i(z) = -2*g(z) - j(z). Let q(r) = 1360*r**2. What is i(q(s))?\nAnswer: -2720*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 5:03 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8907659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 13*r - 1116 = 0. What are the prime factors of r?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2180 - -63222\/29. Which is the nearest to -2\/27? (a) -3 (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/10)\/(3\/(-2))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 3*t - 6. Suppose 0 = -t*k - 200 + 60. Let l be k\/(-21) + (-4)\/(-6). What is the highest common divisor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 129 = -2*d, 4*g - 264 = 4*d - 0*d. Let x = 105 + d. What is the remainder when x is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-259)\/74*2\/(-14*1)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, y: 9, b: 8}. Give prob of sequence br.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 31057921 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*x - 82, 0 = 3*x - l + 4*l - 84. Let m(s) = -2391*s - 47153. Let v be m(-20). Calculate the highest common divisor of x and v.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/20)\/(2\/(-200)). Does 12 divide (r\/15 + 2)*309\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1571509906?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/4 + 5*p - 25 = 0. What is p?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w + 23*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 23 - 12 + 33 = -l, -3*l = -4*h + l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*u - 368*u + 62920 = 1178*u - 292*u for u.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 618 + -300. Let n = 167 - y. Let m = n - -151.0000246. Round m to six dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1113?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 0. Let z = 3 + t. Suppose 0 = 3*p - 4*l + 3*l - 10, -2*p = -3*l - 16. Is z != p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {u: 3, s: 11}?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 8:29 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, f: 4, s: 1, j: 1, d: 1}. Give prob of picking 1 x and 1 j.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/4)\/(150\/(-40))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11)*2)**2 + -4)*1.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, r: 2, n: 1, l: 1, d: 1, e: 1}. Give prob of picking 1 d and 1 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, j: 2, f: 4}. Give prob of picking 2 j and 2 f.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = -n + 4*c + 2, n - c = -1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/20 in -4, 0.2, -18\/77?\nAnswer: -18\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2504 - 2504 + 6*r. Let b(p) = p. Let o(x) be the third derivative of x**4\/8 - 7*x**2. Let q(m) = -2*b(m) + o(m). Determine q(j(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffa when three letters picked without replacement from qfqaqqqfqqa?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 5:12 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 195.26 + -11.16. Let n = -165 + w. What is n rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 0*w + 6\/7*w**3 + 3\/7*w**4 - 9\/7*w**2 = 0 for w.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11878*j**3 - 756*j**3 + 8158*j**3)*(2 + 0 - 1) to u + p*j + g*j**2 + h*j**3 and give h.\nAnswer: 19280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37173 - 23542 + 48919 = -2502*h for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b - 4. Let n be g(6). Suppose -4*a = f - 2*f - 11, n*a - f = 3. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 294, 677, 1060?\n\"Answer: 383*g - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**2\/8 + 119145*w - 8578683\/8 = 0. Calculate w.\nAnswer: -317729, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 21 - 99 = 0. Let k = x - -48. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 40 + 23 = 0. Let x(p) = p**2 - p - 6. Let d be x(w). Let b be (1 + 1)\/(6\/d*7). Solve 5*u + 21 = 2*y + 7, b*u + 2*y + 22 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222, 513, 816, 1131, 1458, 1797?\nAnswer: 2148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/10 + 4512\/(-5170)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 51208636 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-2 + (-12)\/(-6))\/(-4). Suppose y = 12*h - 23*h + 4004. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 - -54 - 0\/(-1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q + 2672 - 548 = 252*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 4. Let b = -32391\/110 + 589\/2. Let a = 64\/1265 + b. Is a less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4}. Give prob of picking 4 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -513\/3700279 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*r - 2, 5*t - r - r - 78 = 0. Let k(v) = 10. Let s(l) = l - 11. Let o(h) = -3*k(h) - 4*s(h). What is the least common multiple of o(0) and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -1930?\nAnswer: -1933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 60, -5, -2 in descending order.\nAnswer: 60, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 1:37 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (108\/30)\/(16\/32 + 2\/(-10)) and 604.\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-2) - 1\/2. Is q greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/187 and (6\/121)\/(26 - (-6682)\/(-260)).\nAnswer: 2057","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**5\/30 - i**4\/6 + 29*i**3\/2 - 143*i**2. Let f(h) be the first derivative of z(h). Calculate f(7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**2 - 4. Let q be g(2). Suppose -5*i + a = -4, 2*a + q = -4*i + 3*i. Factor -4 + 0*t**3 - 2*t + 2*t**3 + 4*t**2 + 0*t**3 + i*t**3.\nAnswer: 2*(t - 1)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t. Let s(x) = 139*x**2 + 1783*x - 12. Give u(s(q)).\nAnswer: 139*q**2 + 1783*q - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -0.4 (b) 0.1 (c) 252\/85 (d) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjf when three letters picked without replacement from {f: 2, k: 13, j: 2, l: 2}?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*v + 50*v = 2926446. Let k = 2407602 + v. Suppose 0 = -5*u + k + 1162880. Round u to the nearest ten thousand.\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -213, -1569, -5207, -12267, -23889, -41213, -65379, -97527?\n\"Answer: -190*d**3 - d**2 - 23*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-27)\/18*4\/(-27). Let m be (4 - (0 - -3)) + 4 - 2. Which is the third smallest value? (a) f (b) m (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k. Let u be o(-3). Let l(m) = m**3 + 4*m - 6. Let w be l(2). Solve 2*h + w = -u*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 18 = -2*s + 2*n, 4*s = 5*n for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 17 = v, 5*v = -2*o - 6 + 26. Differentiate 76*n**v + 191 + 10*n + 55*n - 65*n wrt n.\nAnswer: 152*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, k: 3}. Give prob of picking 1 k and 2 c.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2. Let b(q) be the third derivative of 101*q**4\/12 + q**3\/6 - 8*q**2 + 11. Calculate b(x(m)).\nAnswer: -202*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -5\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1814751.\nAnswer: 3, 67213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 652?\nAnswer: -657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -620151 and -0.2?\nAnswer: 124030.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.118 and -0.0957.\nAnswer: -0.0112926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -28. Let h = -5 + x. What is the smallest common multiple of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4078)\/(-3 - 436\/(-148)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -110881333 and 65557.\nAnswer: -110815776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 3*m + 27, 2*m = -2*q + 5*m - 27. Let x = -4 - q. Let i = x + -4. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-308 + 45*c - 72*c + 26*c)*(-163 - 246 + 81) to d + u*c and give u.\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.85 + -87.15. Suppose -36 = 3*q + 3*u, q - 111*u + 106*u = 36. Which is the second smallest value? (a) j (b) -5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f, 1 x, and 1 a when four letters picked without replacement from aaaaaaxatataafaaxf.\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(20) - sqrt(180)\/sqrt(9)))\/sqrt(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 2*t = 2*l + 2, 0 = l - 3*t - 11. Let p = l - -5. Find the second derivative of -v**5 + 3*v + 0*v**5 + p*v**5 wrt v.\nAnswer: 120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 904476057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6 = -2*g + 3*w, -g - 3*w = -6. Let x(p) = -p - 6*p + 3*p + g*p - 1. Give x(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3\/11 + 302*a**2\/11 - 4616*a\/11 + 8040\/11 = 0.\nAnswer: 2, 15, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 712269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = i, -2*h - 2*i = -0*i - 16. Let g = h - 6. Suppose g*l - 3*l + 639 = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4785 equal to 4627?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 11, k: 3}. Give prob of picking 1 k and 1 e.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-840)\/28*2\/(-3). Suppose 0 = -5*q - 3*w + h, -4*q + 33 = -3*w + 2*w. Calculate the least common multiple of 35 and q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 + 2*m. Let u be ((-3)\/3)\/1 - 1. Let l be i(u). Suppose -82 = -l*h - 6. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -11. Let s = -1 + y. Let h = 12 + s. Is h not equal to 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - u - 21. List the prime factors of (u + -9)\/((-2)\/20).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 11*c**2 - 52480*c - 472481. Determine l(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2030 (base 4) in base 3?\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -23*n + 56. Let q be u(7). Let j = q + 129. What is the least common multiple of j and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -38. Solve -5*c + j - 15 = 0, -3*j - 25 = h*j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**2. Let w(n) = n. Let z(y) = 9*y. Let j(a) = -30*w(a) + 2*z(a). Calculate j(v(c)).\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 95. Suppose 4*y - z + 20 = 0. Let h = y - 6. Solve 2*w = -3*k - 2*w + 2, h*w + 7 = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2. Let f be w(0). Let h = 2 + f. Solve -5*g + v = 21, 2*g = v + 2*v + h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ulu when three letters picked without replacement from pfpuupplpluulupp?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 6*l**2 + 6*l - 3. Let f = 26028 - 26021. Calculate a(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 180817847*f**2*y - 4*f*y + 11296945*y wrt f?\nAnswer: 361635694*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*-1.28\nAnswer: -0.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of -w**2\/2 - w + 2. Let t(d) = -4*d**2 + 4*d - 2. Let m(n) = 2*c(n) - t(n). What is the second derivative of m(q) wrt q?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 * -0.27\nAnswer: 1.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 - 148*s + 144.\nAnswer: 4*(s - 36)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/6*(6 + -1). Sort v, 2, -3, -9 in increasing order.\nAnswer: -9, -3, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -3*h + 6*q - q, h = -48*q + 51*q - 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and 6.047.\nAnswer: 12.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25260.\nAnswer: 2, 3, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 3:02 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233846510, -233846508, -233846506, -233846504?\nAnswer: -233846502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*m - 119*m - 8 - 54 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -2*k - 5*h, 6 = -4*k - 2*h + 34. Suppose -5*v - k = -0. Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -704\/1807 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53754 + 3*z**3 + 53754.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 30*w + 448 = 0. Let i be 110 + ((-2)\/2)\/(2\/(-4)). What is the highest common factor of w and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 15*y**2 - 64771*y + 64771*y. Let i(f) = f**2 + f + 1. Let j(m) = m**2 - 1 + 5 + 2*m + 2*m + 4*m**2. Let z(u) = -4*i(u) + j(u). Determine k(z(d)).\nAnswer: 15*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*z**3 - 2 + 2)*(-1 - 1 + 0 + (2 + 1 - 1)*(4 - 5 + 2) - 5 - 1 + 5 + 1 - 5 + 2 + 3 + 0 + 4) to the form i*z**2 + g*z**3 + v + b*z and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sn when two letters picked without replacement from {s: 1, r: 1, n: 1, q: 1, y: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*d + 1 - 1 + 36*d to x + r*d and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 3*c**2 - 6*c. Suppose 2*u - 2*s = 3 - 11, -u - 24 = -5*s. Let a be 200\/52 + u + (-18)\/(-117). What is b(a)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 + ((-70)\/4 + 1)*270\/405.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5267 - 4011. Which is smaller: 3767\/3 or q?\nAnswer: 3767\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -11. Suppose 0*u - h*u = -u. Does 12 divide -4 + 540\/4 + u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1 + 86 = 0. Suppose -m - 65 = -2*s. 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: Rearrange (m + 0*m + 0*m)*(5 - 1 + 0)*(1 - m + 0 + 0) to the form t + b*m**2 + k*m and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/100)\/(12\/5).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.6 + 0.4. Which is the second smallest value? (a) 0.5 (b) p (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 67232080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-4))\/(15\/10).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -27.0000029. Round a to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 10521*y + 12. Is b(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ky when two letters picked without replacement from {k: 1, c: 1, l: 1, b: 1, y: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2553648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 377286*m + 428897*m - 806180*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1984*m**3 + 154*m**5 + 1984*m**3 + (-5 + 4 + 3)*((-34*m**4 + 37*m - 37*m)*(-5*m + 2*m + 0*m) - m**5 + 3*m**5 - m**5).\nAnswer: 360*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222670 is divided by 222086?\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-8))\/((-3)\/(-114)). Let m be (35\/(-70))\/(3\/(-6)). Sort m, 0.5, z.\nAnswer: 0.5, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -610720 + 610720.1219602. Let a = t + -0.2169469. Let v = a - -0.095. Round v to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 17*w - 37*w to the form o*w + g and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 337200 and 843.\nAnswer: 843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -168989\/16 - -10556. Calculate the common denominator of s and -131\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**2 - 2532*n + 33396. Give m(13).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-11*h + 2*h + 2*h)*(0*h - 4*h + 6*h) + h + h**2 - h)*(2*h**2 + 0 + 0 + (2 - 4 - 16)*(-3*h**2 + 2*h**2 - 2*h**2)).\nAnswer: -728*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 587250973 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 4\/5, 11589 in decreasing order.\nAnswer: 11589, 4\/5, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1100137*w - 1100126*w + 1.\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2623 - -0.0623. Let x be (6\/(-21))\/(32\/(-14)). Which is the nearest to -0.1? (a) i (b) -6 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54384?\nAnswer: 2, 3, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 2015*m + 2020.\nAnswer: -5*(m - 1)*(m + 404)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g\/(g\/(g\/g**(-2\/7))))\/g*g**(-1\/6)\/g*g**(3\/4)\/(g\/g**(-3\/5)))**(-11\/8) assuming g is positive.\nAnswer: g**(-1243\/3360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 39 = g + 4*z, 5*g + 5*z = 185. Let i(m) = -3 - 46*m + 57*m - g*m - 3. Let u be i(-6). Calculate the highest common factor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -428*j + 427. Give p(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**2 - 2*n - 2. Let k be 5 + -4 + -4 + 5. Suppose -k*v + 6 = -v. Suppose -v = -s - 4. Give f(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50473 is divided by 238.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*l - 1, 6 = f + 5*l + 28. Solve 0 = 4*x + o, -f*o + 4*o = 5*x + 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_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: Four letters picked without replacement from {t: 6, h: 2, k: 3, r: 2, y: 2}. What is prob of sequence tthy?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-20)*(832\/(-156) + (-8)\/(-6)). Put d, -0.4, 0, 4\/7 in descending order.\nAnswer: 4\/7, d, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53184 is divided by 5198.\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + 7e?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 8 (b) -119550 (c) -0.4 (d) -0.5 (e) -5 (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12402581.65 rounded to the nearest 1000?\nAnswer: -12403000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -23 (b) 10 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3 + 119754*p**2 - 119753*p.\nAnswer: -p*(p - 119753)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1531 + 0.0477918.\nAnswer: -1530.9522082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - ((-1)\/(-34))\/(6\/(-792)). Which is the smallest value? (a) 31 (b) 3 (c) -0.4 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100001000100001101100 (base 2) to base 8.\nAnswer: -4104154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2295677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12a64 (base 12) in base 5?\nAnswer: 1310313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.451 years to centuries.\nAnswer: 0.61451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 - 7*s**3 + 2*s**3)*(5615*s - 10729*s + 5792*s + (-2*s - s + 6*s)*(1 + 2 - 2)).\nAnswer: -1362*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 7 = 5*r, -3*a + 6 = -r - 2. Let u = 3 + r. Suppose u*d = -d + 110. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -t**6\/120 + t**5\/60 - t**4\/6 - 3*t. Let d(i) be the third derivative of p(i). Differentiate d(z) wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/2 and 37\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 39*k**2. Suppose -5*i + 4*b + 231 = 0, -5*i - 18 + 217 = 4*b. Let p(h) = i*h + 51*h - 90*h. Calculate p(x(u)).\nAnswer: 156*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 6:16 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*z + 166, 9*z = 4*z - 2*c + 406. What is the highest common factor of 130 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 53021\/6 or 8838?\nAnswer: 8838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 - 14. Suppose -5 = p - g. Let s be (p\/(-10))\/((-2)\/12). What is the third biggest value in 1\/3, 2\/11, s?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*o**3 + 2522296*o**2 - 88285260*o = 0. Calculate o.\nAnswer: -630609, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(1 - 3 + 3)*(7*v - 3*v - 2*v) - 3*v + 0*v + 4*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 177, 174, 171, 168, 165, 162?\n\"Answer: -3*m + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 11*k + 20. Let t = 103 + -95. Does 12 divide c(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3313 + 232?\nAnswer: -3031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-99)\/18)\/(2\/(-4)). Let v(d) = x + 67025*d - 7 - 8 + 13971*d. Let w be v(-1). What is w rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15463 - 15463. Let s = -0.1 - -4.1. What is the nearest to s in 0.5, c, -2\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0045636956 rounded to four dps?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 986*n + 42 + 6959 + 4831 = 0 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*g - 5. What is the nearest to 3 in 1\/6, -3, g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + h + 4. Let y be m(-3). Suppose t = -3*q - 10, -2*q = 9 - 1. Suppose 0 = t*u - y - 34. Is u a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/10 of a microgram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j + 1. Let f(g) be the first derivative of -g**2\/2 - 166009. Suppose -q + 3*a = 14, 2 = -3*q + 2*a - 33. What is q*f(w) - 2*d(w)?\nAnswer: 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-390))\/((-4)\/2218). Let g be 92\/(-195) + 0 + (-710)\/(-5325). Let s = c - g. What is the common denominator of 23\/16 and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846288514?\nAnswer: 2, 6991, 60527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2637771 divided by -155163?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0988881 millimeters to micrometers.\nAnswer: 98.8881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144 is divided by 77?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19310891?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2892 (base 11) in base 14?\nAnswer: 1507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - 524. Let j(a) = 13*a. What is j(w(o))?\nAnswer: 26*o**2 - 6812","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 563 - 291. Let u be 86\/16 - 102\/a. Solve 2*m - m + u = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01981517 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -132*z - 68. Let l(w) = -1402*w. Calculate l(q(t)).\nAnswer: 185064*t + 95336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {c: 1, v: 3, a: 4, m: 2, k: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 552311 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 - 30. Is ((-166)\/(-8))\/(u\/(-12)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -690*n. Let s(v) = -v**2. Give s(m(j)).\nAnswer: -476100*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-11) + (-360)\/(-44). Suppose -f = -2*q + 2. Let k = 10 - q. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uueeuxehuhehse. What is prob of sequence shex?\nAnswer: 5\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**5\/20 + g**4\/3 - 5*g**3\/6 + 3*g**2\/2 - 2*g. Let s be f(-5). Differentiate -y**3 - 3*y**3 + 11*y**s + 3 wrt y.\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -1. Suppose 5*u - 2*r + 2 = 24, -u - p = -2*r. Suppose 0 = 6*z - 18 - u. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54106356?\nAnswer: 2, 3, 1013, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/6)\/((-957)\/18). Let m be (-7)\/(21\/6) - (9 + -12). Which is bigger: y or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1918*w + 1915*w + 2*z - 64, -124 = 5*w + z. What is the second smallest value in 0, 3, w, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12 + -3 - (-5)\/(-1). Suppose -3 = h, -3*k = -c*h - 34 + 10. Let v = 9 - -9. Solve v = -p + 5*i, -p + 3*i + 6 = k*i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*p - 110*p + 36 = 0. What is the lowest common multiple of 12\/(-54) + 182\/p and 110?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g**2 - 1. Let v be j(-1). Suppose -v*p + 108 = p + 3*d, 3*d = -12. Calculate the greatest common factor of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71751 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1801, 1817, 1833, 1849, 1865?\n\"Answer: 16*z + 1785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 32. Let g(m) = 3*m + 96. Let y(p) = -3*g(p) + 8*h(p). Let k be y(-14). Let z = k - -11. Which is the nearest to -1\/2? (a) -2\/7 (b) z (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 83 + 25 = 0. Suppose 62 + h = 4*l. Suppose -3*u + l = -u. Does 11 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -2*j + 8. Suppose x = 5*y - 18, 14 = y - j*x - 1. Does 2 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294415?\nAnswer: 5, 11, 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -4. Let o be 4\/(-18) + 29\/9. Let z = o - 0. Is z > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6)\/(j\/j**(-1)))**14 assuming j is positive.\nAnswer: j**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00169332964 rounded to 5 dps?\nAnswer: 0.00169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -372169 - 0.0431008\nAnswer: -372169.0431008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*i + 8 = 3*n, 1 = 2*n - i. Suppose u - 890 = -888. Let r(k) = u*k - 1 - 9*k + n. Let a(q) = -4*q**2. What is a(r(j))?\nAnswer: -196*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j**2 + 5*j**2 - j**2. Let p be s(-2). Let l(t) = -9*t + p*t + 3*t. Let r(i) = 3*i**2. Give r(l(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - 170 = -260 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.075 (c) 5 (d) -3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 96, -4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -375*d + 375*d - 30*d**2 as v + r*d + y*d**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(-35) - 64\/(-7). Suppose 0*q - d = -3*q. Suppose -2*f - 19 = -q*f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 1014*m = 1015*m - 2, -2*m + 5 = -3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4583411053 and -0.3.\nAnswer: -4583411053.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 5:10 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39.6236 - -41.14. Let j = -109.3536 - m. Let s = 110 + j. What is s rounded to one decimal place?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 240 and 134250.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - n + 3, 2*y - 2*n + 3*n + 9*n = -26 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*r**2*z**5 - 21348*r**2*z**4 - 4*r**2*z + 5*r*z**2 - 16*z**2 wrt z?\nAnswer: -240*r**2*z**2 - 512352*r**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/112536688 and 69\/28.\nAnswer: 787756816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r - 2 = 19*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 5 = q. Suppose -w = 0, w + q*w + 20 = -4*k. Sort -4, 2, k in decreasing order.\nAnswer: 2, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen sixths of a day?\nAnswer: 4080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-1 + -6 - -4) + -4 - (54 + 0)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3153\/10510)\/(132\/10))\/((-4)\/16)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 35\/(-10)*(0\/1 - 108). Let d = 379 - p. Solve 4*z + 20 = 0, 3*g + z + z + d = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15550, -62180, -139892, -248686, -388562, -559520?\nAnswer: -761560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 70*m + 67*m, -3*m = 4*v + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 13*o. Let x = 84 - 82. Let g(z) = -17*z - x*z**2 + 10*z + 7*z. Calculate v(g(k)).\nAnswer: -26*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 17*u**2 - 1192*u + 76. Determine g(-27).\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255681?\nAnswer: 3, 28409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/22 and -55\/26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/57, -1, 0, 45.8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 12644, 12420, 12046, 11522?\n\"Answer: -75*t**2 + t + 12718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 551 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5760*w + 5752*w - 96 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j**4 - 5*j**3 - 67065 + 8*j + 4*j**3 + 67107 as u*j**4 + t*j**3 + l*j + g*j**2 + v and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/26180 and 73\/24.\nAnswer: 157080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5 + 5. Sort -4, u, -5, 0 in ascending order.\nAnswer: -5, -4, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 611 - 615. What is the fourth biggest value in j, -0.4, -3\/4, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 215, 447, 683, 923, 1167, 1415?\nAnswer: 1667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -3d46 (base 14) to base 4\nAnswer: -2221122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*s, 3*x + 6*s = 8*s - 2. Solve -11 = 5*m + 9, x*m = -i - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-33)\/9 - -3)*(-63)\/2. What is the greatest common factor of 84 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 4) in base 2?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3621.036779 - -0.185779. Let m = u - -3622.85099936. Let w = m + -2. What is w rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1063 (b) -0.2 (c) -30 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbc when three letters picked without replacement from {b: 8, c: 3}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-7 - (30 - 41))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 3*v**3 - 3*v - 14. Let f be q(3). Calculate the highest common divisor of f and 1102.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -110 - -122. Suppose -3*p - 3*j = -66, -3*p + 7*j = q*j - 64. Solve -5*w + p = 4*m, -3*m = 2*m + 2*w - 16 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 5*m + 78 = -388, -2*v = -m - 905. Calculate the greatest common factor of 123 and v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (59 + -57)*(-4 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 171 = 5*z. Suppose 2*f + 1530 = z*f. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from {e: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 97 = 3*l, f - 33 = -0*l - 4*l. What is the highest common factor of 289 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -11\/8, -6, -23, 4\/3, -2.9?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 1466*n**5\/5 - 339*n**3 - 319. What is the third derivative of w(p) wrt p?\nAnswer: 35184*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbql when four letters picked without replacement from lzbuulzzzzllqqk?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*h = -2*x + 260, -5*h = -4*x + 646. Round h to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 2750636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 174525?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -18*y**5 + 3*y**4 + 3*y**2 + 2*y. Let x(a) = -a**4 - a**2. Let f(g) = j(g) + 3*x(g). What is the second derivative of f(h) wrt h?\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 0*p - p**3 + p + 0*p + 2*p**2. What is the lowest common multiple of 5 and n(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**26)\/t)**(-2\/107)\/((t*t*t**(-35)*t)\/t**(-4)) assuming t is positive.\nAnswer: t**(3048\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Suppose 22 = b - 5*g, 0 = -2*b + 3*g - 8*g - 16. Which is smaller: d or b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 23 = 4*s - 0*u, 4*s - 3 = -u. Let y = -4 - s. Which is smaller: -0.1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1519193578 rounded to four decimal places?\nAnswer: 2.1519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 7:19 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 2*l + 1236 - 58104, -2*y + l + 22740 = 0. Let o = -7915 + y. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 271223*l**4 - 4*l**3 + 2*l**2 + 29677237*l - 2.\nAnswer: 3254676*l**2 - 24*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**10*r**4)\/(r*r**(1\/5)*r*r**(-3\/2)*r))**(-1\/4) assuming r is positive.\nAnswer: r**(-123\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-3))\/((-8)\/24). Let h be n\/(-9) + 1014\/54. Suppose -5*a + h = g, -g = -2*a - 3 + 5. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -104434 to the nearest one thousand.\nAnswer: -104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*y - 12 = 0. Suppose y*c = 8*c - 15. Suppose -c = b - 9. Calculate the remainder when 16 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3705 divided by 3.\nAnswer: -1235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30129*q + q**2 + 30453*q + 0*q**2 - 3*q**2 to the form a*q**2 + k + o*q and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1150 and 1955?\nAnswer: 19550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6425 - -6415. What is the closest to 1 in 1.6, 1\/4, f?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1598945915?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.027.\nAnswer: -0.0135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700)*-2 + -5 + -2*4*sqrt(21)\/sqrt(3).\nAnswer: -28*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-2)*(3\/(-3))\/5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u + 2*u**2 - 4*u**2 + 0*u**2 - u**2.\nAnswer: -3*u**2 + 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/3 + (-195)\/117.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y - 422*l = -426*l - 24, l + 13 = 5*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -11 + (-2 - -9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 4*v**2 - 11*v + 3. Let y(j) = -j**3 + 3*j**2 - 11*j + 2. Let w(g) = -5*k(g) + 6*y(g). Is w(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4111340 (base 5) to base 7\nAnswer: 364535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -9800.1.\nAnswer: -9800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 + 1094.\nAnswer: 1094.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 28*q + 29. Let g be k(-27). Suppose 2*j + 2*v = -g*j + 1170, v = 3*j - 875. What are the prime factors of j?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 228 = 4*f, 15 = 5*f - 0*f. Calculate the highest common factor of b and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17786900*j - 17768093*j - 3 + 4 as o*j + k and give o.\nAnswer: 18807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 6. Let j be (k + -1)\/(3\/6). Is -1 at most j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 3:39 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1643157948 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h**2 - 3*h - 3. Let d(i) = 5*i**2 + 4*i + 2. Give -5*d(l) - 4*t(l).\nAnswer: -l**2 - 8*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5528256 + 5528256 - 3*x**3 + 16*x**2 - 40*x**2 - 2*x**3.\nAnswer: -5*x**3 - 24*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-18) + (-260)\/(-36). Let z be 42\/(-8)*v + -2. Let m = z + 39. Which is smaller: 4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 + 20. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4 = 24. Let p(q) = -q**3 - 7*q**2 + 2*q - 4. Let o(c) = 2*c**3 + 15*c**2 - 4*c + 8. Let g(f) = u*p(f) - 2*o(f). List the prime factors of g(-5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a tonne in kilograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 697537233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 16 - (-5 + (10 - 29))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2*5*(-5 + -4 + -3 + sqrt(1200)))**2.\nAnswer: -537600 + 192000*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*y, -y = 4*w - w - 333943. Suppose -f + 5*t - 54694 - w = 0, -4*t = 5*f + 829992. Round f to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1226907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 3, -12, -15, -3, 319.\nAnswer: -15, -12, -3, 0, 1, 3, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 761, 1550, 2339?\n\"Answer: 789*m - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/40)\/((430\/80)\/(-43))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 49\/2 < 504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, l: 8, h: 7}. What is prob of sequence hl?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-6 - -1) + -4 - (-39 + 4 + 4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 4. Let w be z\/(0 + (-8)\/1). Sort -1, w, 1.\nAnswer: -1, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3992.909ml to litres.\nAnswer: 3.992909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 16715 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/4 + 274351*t\/2 + 75268471201\/4.\nAnswer: (t + 274351)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -23. Suppose 0 = r*f + 2*z - 5*z - 47, z - 3 = 0. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 495 + -373. Calculate the lowest common multiple of v and 3 - 0*(-4)\/16.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -231, -233, -245, -273, -323, -401?\n\"Answer: -y**3 + y**2 + 2*y - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/((w*(w\/(w\/(w\/w**0)))\/w)\/w))\/w)**(-20)\/(w**(-1\/5)*w\/(w\/w**(9\/2))))**(1\/66) assuming w is positive.\nAnswer: w**(-43\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61 and 549.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, w: 2, o: 1, b: 2, s: 4}. Give prob of sequence wc.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dc when two letters picked without replacement from {c: 1, e: 1, d: 1, w: 4, b: 2, s: 3}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 1\/3 (c) -2\/5 (d) -23 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 31537, -3 in decreasing order.\nAnswer: 31537, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-5)\/16)\/(36\/(-3600)). Let k = 11 - -20. Let h = k - c. What is the third smallest value in -3, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 11*v - 956 = 3*s, -483 = -v - s. What is the greatest common factor of v and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w - 3. Let k(i) = 51*i + 329. Let q be k(-7). Let h(a) = a. Let n(x) = 43*x + 28. Let p(j) = -h(j) - n(j). Give q*t(v) + 3*p(v).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + z**2 - 1)*(5*z - 16*z - z) + (-1 + 1 + 2*z**3)*(-5 + 4 - 15 + 4 - 3 - 2 + 1 + 2 - 2 + 1 + 1 - 4 + 4 + 2 - 5 + (-5 - 1 + 4)*(-1 - 2 + 1)).\nAnswer: -38*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 d when three letters picked without replacement from {m: 4, n: 1, d: 2, l: 1, a: 3, g: 7}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5 + 8 - 74*y - 3 + 53*y. Let b(m) be the first derivative of m**4\/24 - 5*m**2\/2 - 7. Let c(j) be the second derivative of b(j). Give g(c(o)).\nAnswer: -21*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/19)*n**(-1))**(-33)*(n*n\/(n**(-3\/2)\/n)*n**(-2\/3))**(2\/27) assuming n is positive.\nAnswer: n**(45878\/1539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 92*l**5 + 118*l**5 - 2*l + 21*l**2 - 75*l**5 wrt l.\nAnswer: 8100*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166, 324, 482, 640, 798, 956?\nAnswer: 1114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*v - 69, -3*s = -5*v + 38 + 34. Put -3, 1, s, -1 in decreasing order.\nAnswer: 1, -1, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/7, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4891 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(832) + 1 + 4 - (1*sqrt(832) + sqrt(832))*-5)*3)**2*1 + -3.\nAnswer: -1812549 - 15840*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 0*b**2 + 0*b**2. Let v(f) be the third derivative of 0 + 2*f**2 + 0*f - 1\/24*f**4 + 0*f**3. Give h(v(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4 = 3*m. Let h be 6\/9 - (-296)\/6. Let r be h\/10*4\/(-30). Which is the nearest to m? (a) -1\/9 (b) 2\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 5*y + 15 = 0. Suppose w + 2*w = 5*j + 43, -2*j - 4 = 0. Calculate the remainder when w is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20558 divided by 1.\nAnswer: -20558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (188\/4)\/((0 - 2) + 3). Let v = y + -20. 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 -78223.738 - -38433?\nAnswer: -39790.738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35397 + 176328\/5. Let p = 131 + b. What is the third biggest value in 5, p, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -7, -2425, 2, -10 in ascending order.\nAnswer: -2425, -10, -7, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 608213464 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccctsqhcqstttt. What is prob of sequence sh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**5\/120 + 43*h**3 + 58*h**2 - 1. Let q(z) be the first derivative of p(z). Give q(-12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -138, -0.5, -0.3, 2\/13, 0.07 in decreasing order.\nAnswer: 2\/13, 0.07, -0.3, -0.5, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 15. What is j(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from oooolooooooooolooo.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*c = -5, 4*c - 8*c + 6 = 5*i. Let l = 3 - -1. Solve 3*y = -l*s + i, -4*s = -y + 2*y - 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 1319*p**4\/12 + p**3\/3 - p**2 + 5*p. Is f(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 385\/91 - ((0 - 1) + 5). Let g = -1253 + 1252.6. Let h = -3 - -3. Put h, -3\/4, g, d in increasing order.\nAnswer: -3\/4, g, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 120 - 124. Let h(b) = b**2 + 3*b + 3. Let m(d) = -d**2 - 4*d - 3. What is c*h(z) - 3*m(z)?\nAnswer: -z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 2*q - 2 + 28 - 35 - 61*q**2 + 13 as y + o*q**2 + j*q and give o.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*d - 26, -2 = t - d + 2. Suppose 4*j - 12 = j. Let s(y) = 5*y**3 + 7*y - 7. Let a(h) = 3*h**3 + 4*h - 4. Determine j*s(c) + t*a(c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c0c + -1107b?\nAnswer: -11c87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2168*i**2 - 2273*i**2 - 1162*i**2 + 584*i**2 - 5238*i**2 - 1383 wrt i.\nAnswer: -20514*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1199587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-872)\/(-4)*(-2)\/(-4). Suppose 0 = -5*n + 5*z + 380, 2*n + 2*z - m = 27. Is n a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 171808 and 29658356?\nAnswer: 237266848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of -a**6\/120 + a**5\/12 - a**4\/8 - a**3\/6 - 196*a**2. Determine t(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*j - 10 = 0. What is the least common multiple of 8 and j?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4809926 by -15466.\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -2023\/72*q**4 - 34\/15*q**5 + 0 + 0*q - 64*q**2 - 5\/72*q**6 + 4913\/36*q**3 - 1\/1260*q**7. Factor w(r).\nAnswer: -(r - 1)*(r + 17)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -3, 0.2, -3\/74, 6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 2\/7, 160, 0.16, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 less than -180883?\nAnswer: -180853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ettt when four letters picked without replacement from {e: 4, g: 4, t: 4, v: 2}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1332532.4 to the nearest one thousand.\nAnswer: 1333000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 1202502?\nAnswer: -1202510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1425038055 to the power of 1\/5, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6*p + 8. Suppose -2*w + 14*w = 48. Let m(t) = 6*t - 19. Let y be m(5). Let l(q) = 2*q - 3. Calculate w*c(x) + y*l(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/7)\/(3\/21). Suppose 20 = o*l - 2. What is the remainder when 21 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 p when four letters picked without replacement from {k: 2, g: 1, c: 3, b: 1, p: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 381*b + 5 - 9 to a + q*b and give q.\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o + 6*o = -2*a + 1, 0 = -a - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 61*i - 538. Let l be j(9). Solve -l*n + 68 - 57 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v - 2*v + 2)*(4 - 3 + 4) - v - 2*v + v.\nAnswer: -12*v + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -k + 25 - 9, -5*k = z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23281a (base 11) in base 14?\nAnswer: 98a16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 134?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 61.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3376 - 2641 - 347 + 1468 = 153*n for n.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - 10*w**2 + 17*w - 20. Let j(d) = -d**2 + d - 1. Let m(x) = -2*j(x) + r(x). Let o be m(6). Sort 4, -4, -3, o in descending order.\nAnswer: 4, o, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 255\/3 - (1 - 1). Suppose 0 = -12*c + 7*c + m. What is the remainder when 67 is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011155806 rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -195399111*n**4 - 94*n + 2542886.\nAnswer: -2344789332*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1091*h + 7864*h + 650*h.\nAnswer: 7423*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -8*j + 184. Calculate the remainder when 111 is divided by j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**4\/12 - p**3\/6 + 740*p**2 + 2. Let u(m) = 3*m - 1. Let k be (2\/4)\/((-1)\/(-4)). Let v be u(k). Determine c(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5 + 4*j**4 - 3*j**3 - 4*j**2 + 4*j.\nAnswer: -j*(j - 2)**2*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-five halves of a kilogram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 38*u + 1719. Let l(n) = -7*n - 343. Calculate -33*l(y) - 6*t(y).\nAnswer: 3*y + 1005","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 11.9, -3, -1.91?\nAnswer: 11.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2466*t**2 + 31*t + 922782 wrt t?\nAnswer: -4932*t + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -65*c**4\/4 + 145*c**3\/6 - 56*c - 160. Let f(x) be the first derivative of m(x). Find the second derivative of f(k) wrt k.\nAnswer: -390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, o: 2}. Give prob of picking 4 c.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6567841883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 5*g**2 + 8*g - 7. Let b be r(6). Suppose -3*y = -b - 4. Solve -y*f = -0*f - 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (3*-3 - -3). Suppose s*p - 24 = 9. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 m when three letters picked without replacement from yvmvmmeyemy.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -216 - -258. List the prime factors of l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/p**(-7))\/p**4*p**(-7)\/(p*p**(-2\/5)*p*p) assuming p is positive.\nAnswer: p**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24652406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 26054, 53.\nAnswer: 3, 53, 26054","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 times 0.743?\nAnswer: 114.422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 0 + 11\/3*a - 1\/3*a**2 = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**4*z - 57*a**4 - 48*a - 2758*z wrt a?\nAnswer: 4*a**3*z - 228*a**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**2 - 111*x - 108 = 0.\nAnswer: -36, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79.9 - 80. What is the closest to v in -0.5, 54\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1272051 - -366?\nAnswer: 1272437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5591269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 46*o + 1 - 1 + 24*o + 37*o + (-2 + 0 + 1)*(1 - 2*o - 1).\nAnswer: 109*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 24, -154, -1 in descending order.\nAnswer: 24, -1, -5, -154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -547627.912 minus -34800?\nAnswer: -512827.912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5092 or -5090?\nAnswer: -5092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -605 - -605. Solve -4*h - 2 - 2 = f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + t**2 + t + 72859. Is g(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0122729283046 - -461.0122735463046. Let h = -461 + a. What is h rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-800)\/(-504))\/20 + (-1)\/(-7). Let v = 128 + -126. Sort g, 18, v.\nAnswer: g, v, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4749?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(448) + 1)*-4 - 1*sqrt(448)*-3) + 4 + (sqrt(448) + 0 + sqrt(448) - sqrt(448)) + (sqrt(448)*1 - sqrt(448))*-5 + sqrt(448) + 1)**2.\nAnswer: 16*sqrt(7) + 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5, 50, 105, 160, 215, 270?\n\"Answer: 55*m - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 372887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2\/25)*l)**(-2\/13)\/(l*l\/l**(2\/3))**18)**(-31) assuming l is positive.\nAnswer: l**(18848\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*4\/(-6))\/(24\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513123868?\nAnswer: 2, 293, 437819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, k: 13}. What is prob of picking 2 q and 1 k?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 405060323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + ((-1*sqrt(40)\/sqrt(2))\/sqrt(10) + (sqrt(2) - sqrt(14)\/(sqrt(21)\/sqrt(3)))*5)*-6 + 0.\nAnswer: -7 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6\/7, -340, -4, -1, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2220707299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-207)\/1518)\/((675\/(-12))\/5).\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 1. Suppose 5*a - 5*f = 15, 7 = 5*a - 4*f - 4. Let z be l(a). Factor 3*p**3 - 3*p**4 + 0 + z.\nAnswer: -3*p**3*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 4*t = 55732, 69647 = 5*a + 33*t - 37*t. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3079945 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h**2 - 1. Let q(n) = -10*n**2 - 38*n - 5. Calculate q(j) - 4*w(j).\nAnswer: 10*j**2 - 38*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 227 a factor of 101469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43834160 is divided by 5479270.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -195360000 to the nearest 1000000.\nAnswer: -195000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 13*v - 28. Let t be n(15). Find the second derivative of -146*g**2 + 28*g**t + 19*g + 59*g**2 + 25*g**2 wrt g.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 46946, 95152, 143358, 191564, 239770?\n\"Answer: 48206*m - 1260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 584*d**2 + 13*d - 665*d**2 - 8*d - 5*d.\nAnswer: -81*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in six fifths of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -164 divided by -82\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/36)\/(4\/(-48))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1509041 (base 12) to base 5\nAnswer: 2041330440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 199.46 - 202. Let n = b + 0.54. Is n at least -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-15 - (59 - 87))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.109 - -0.108993. Round w to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by -6\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 88974336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -337, -298, -259, -220, -181, -142?\n\"Answer: 39*h - 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2480 and 234205.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 4)*(13 - 5 - 2)*(0*y + 2*y - 5*y).\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 202 - 707.2. What is b rounded to the nearest ten?\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 6 = -5*o, -5*v + 2 = 4*o - 26. Suppose -4*i + 3*s + 12 = -7*i, -v*i - 22 = -2*s. Let b = 0.75 + -1.15. Put i, b, 4 in descending order.\nAnswer: 4, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19467552*s**4 + 3585668 wrt s?\nAnswer: 77870208*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(75) - sqrt(3))*5.\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v + 9. Let w = -93 + 102. What is h(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 8. Let z be ((0 - 3) + 9)\/(-1). Let c be (-4)\/8 + z\/(-4). Sort r, 0, c in decreasing order.\nAnswer: r, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*q - 230 = -188 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8052 and 264.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**3 - 8*d**2 + 2*d + 9. Is b(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + -e660f?\nAnswer: -e6610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42\/(-84)*(-1 + 1). Solve 2*o - 7*o = -2*p - 21, 4*o - 4*p - 24 = n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -6*t - 18 - 21 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-28)\/8*(-73 + 1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.22 (b) 5\/3 (c) 1 (d) -0.128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 302?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -196, -197, -198, -199, -200, -201?\n\"Answer: -i - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2\/3 + 32*r**2 - 8*r - 128\/3*r**3 = 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000860949997 to 6 dps.\nAnswer: -0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -130164?\nAnswer: 130200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 105*l**5 - 2*l**4 - 27*l + 1. Let u(s) = s**4 + 1. Let i(c) = -2*u(c) - w(c). Find the second derivative of i(j) wrt j.\nAnswer: -2100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 6110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 67000.86 rounded to the nearest 100?\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -90, -4, 26456 in decreasing order.\nAnswer: 26456, -4, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 8*u - 7. Let g be r(-6). Suppose 5*y + k - 39 = g*k, -4*y - 5*k = -64. Let w = -10 + y. Solve -2*t + w + 3 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22\/129 - -3073\/387. Let i = 1428359\/5 + -861310172\/3015. Let c = 4\/603 - i. Calculate the common denominator of s and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 13 (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 868231 and 13758122.\nAnswer: 178855586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 16*t**3 + 18*t**2 - 34*t. Let k(q) = -8*q**3 - 9*q**2 + 16*q. Give -9*k(a) - 4*y(a).\nAnswer: 8*a**3 + 9*a**2 - 8*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8323710 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 3*p - 12 = 0, 319*s + 61 = -344*s + 642*s + 2*p for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 52, 54, 58, 64, 72?\n\"Answer: q**2 - q + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200011021120201 - 120?\nAnswer: 200011021120011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14711?\nAnswer: 47, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14\/5 - -3. Let s be (0 + 0)*2\/(-2). Which is smaller: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 530 and 0.1457.\nAnswer: 77.221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*h + 1312*h**4 - 1311*h**4 + 1 - 15 wrt h.\nAnswer: 4*h**3 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 17.85. Let u = 0 - j. Let n = u + -0.150115. Round n to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9580 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**4 - 918*f**2 + 69*f**5 + 18*f**5 + 4*f**4 + 920*f**2 - 30*f wrt f.\nAnswer: 5220*f**2 + 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96921 is divided by 86?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 2*c - 34 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 20046 - 1357 = 0. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6045069, -12090141, -18135213, -24180285, -30225357, -36270429?\n\"Answer: -6045072*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -0.02284?\nAnswer: -0.13704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 62 from -214.\nAnswer: -276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1326, -1334, -1342?\nAnswer: -1350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 5:41 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -10839*n**2. Let g(v) = v**2 - 55*v + 5. Let y(h) = -11*h + 1. Let u(f) = 2*g(f) - 10*y(f). Calculate u(a(c)).\nAnswer: 234967842*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 q when three letters picked without replacement from {t: 4, i: 3, q: 3, r: 4}?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34\/3 - -11. Let d = 186 + -367\/2. Which is the nearest to j? (a) 2 (b) d (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 4:28 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ulsdudql. Give prob of sequence ldlu.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -56, 0, -2, 252 in ascending order.\nAnswer: -56, -2, 0, 1, 252","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d - 12*d**2 + 3*d - 14*d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**3 - c**3 - 3*c**3)*(3 + 0 - 2) + 0 - 2*c**3 + 0 - 54*c**3 + 58*c**3 + 85*c**3.\nAnswer: 88*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1369872249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-6))\/2*(-3 - -9). Suppose l*i - 121 = i + h, -2*i = 3*h - 252. What is the greatest common divisor of 164 and i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 2. Let h(s) = -5*s + 9*s**2 + f*s - s**3 + 3*s + 7. Is h(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (2 - (1 - 4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -23504142 (base 6) to base 12\nAnswer: -2b8052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.362 - -121.638. Let t = g + -122.0000708. What is t rounded to 6 dps?\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8233268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 8*z - 4. Let t(o) = o**3 - 16*o**2 + 69*o - 49. Let f be t(7). Give w(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -28 (b) -2.033 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/1088340 and -91\/5610.\nAnswer: 1088340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1091\/9 + 121. Let q = -3.5 + 3. Let n = 41727 + -41727.3. What is the closest to -1 in m, n, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/37 and -51\/130.\nAnswer: 4810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(4\/11))\/((h**(5\/4)*h)\/h))\/(h**(3\/5)*h\/h**(-4)) assuming h is positive.\nAnswer: h**(-1367\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 3*p + 42. What is w(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s - 9*s + 9 = -5*o - 18*s, -28*o - 84 + 21 = -7*s for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*b*f + 12*a*b - 2*a*f - a + 38*b*f + 2*b - 25*f - 135 with respect to b.\nAnswer: a*f + 12*a + 38*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/30 and -23\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-7)\/t)\/t**(-5)*(t**(-2))**(-5\/11))**(-2\/87))**(-28) assuming t is positive.\nAnswer: t**(-1288\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 18*r**2 + 33*r. Let d(u) = 7*u**2 + 12*u. Let m(q) = -4*b(q) + 11*d(q). Let p(j) = 26*j**2 - 7*j**2 - 1 - 9 + 13. What is p(m(k))?\nAnswer: 475*k**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*4*sqrt(78) + sqrt(78))\/(sqrt(726)*3 - sqrt(726)) + 5)**2.\nAnswer: 125*sqrt(13)\/11 + 20225\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i - 14*i + 5*i)*(-2*i - 2*i + 1 + i) in the form u*i + a + p*i**2 and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 13*m + 12. Determine i(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w + w**2 - w**2 + 5*w**2 + 10 - 4*w**2 + 4*w. Let y be (-3 - 3)\/3 - 4. Let s be m(y). Sort 3, s, 1, 0.\nAnswer: s, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 362 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9632 and 1792?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -37. Suppose 0 = -20*s + 17*s + f. Determine k so that 12\/5 + 3\/5*k**s + 24\/5*k - 21\/5*k**3 - 3\/5*k**5 - 3*k**4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 4*o**2 + 6*o + 6. Let w be p(-5). Let b(m) = 9*m**2 - 1. Let l be b(w). Solve 33*r**3 + r**2 - 9*r**4 - 5*r**2 - l*r**2 - 9*r**3 = 0 for r.\nAnswer: 0, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*b + 80 = -2*g + 7*g, -g + 4*b + 167 = 151 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297185.\nAnswer: 5, 7, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21146885 by -5.\nAnswer: -4229377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 94*o**2 + 4*o + 6 - 122*o**2 + 34*o**2. Let i(m) = 7*m**2 + 5*m + 7. Suppose 0 = 3*u, -5*f - 5*u = -f + 20. Give f*k(j) + 4*i(j).\nAnswer: -2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 451711 to the power of 1\/2, to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w. Let v(l) be the first derivative of -15 + 0*l**2 + 0*l - 31\/3*l**3. Determine v(s(k)).\nAnswer: -31*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1150379231 to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3462 is divided by 2957.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*f*z**5 - 31*f*z**2 + 11*z**6 + 9*z**2 wrt z?\nAnswer: 180*f*z**2 + 1320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-222)\/(-10)*(-2584)\/7752.\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - -102103?\nAnswer: 102031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - -1140149?\nAnswer: 1140156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 6)*(0*n + 0*n + n) - 3 - n + 3 + (n + 0*n - 2*n)*(1 + 2 - 1).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2576675162 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/1330 and 29\/1596.\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1118?\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16563325 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000036994 to 7 dps.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523467 is divided by 15825.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 2*v - 69 = -91, 4*v - 16 = -4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 7. Let p = 2826 - 2825.7. Put l, 3\/4, p, 8 in increasing order.\nAnswer: l, p, 3\/4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2289 * -46.\nAnswer: -10.5294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.12? (a) 2237 (b) 1\/4 (c) 1\/2 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-6))\/(3\/36). Suppose -f*q - 3 + 11 = 0. Solve -q = -n - n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -746*b**2 - 18*b. Let x(w) = 4*w**2. Give c(x(d)).\nAnswer: -11936*d**4 - 72*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**5 + 5204*u**4 - 8411844*u**3 + 5528876558*u**2 - 1297459792795*u + 2572871290878 = 0?\nAnswer: 2, 761, 2919","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76 - 46 + 50)*(-g + 5*g - 3*g).\nAnswer: 80*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 1600.\nAnswer: -1\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000056945 to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 937400 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 12) to base 13.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*g = -70*g - 1679 - 689 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54.066 + 0.066. Let n = 62 + r. Which is the biggest value? (a) -4 (b) n (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 159.4139 litres to millilitres.\nAnswer: 159413.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/8 and 53\/32808.\nAnswer: 32808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 take away -0.25?\nAnswer: -24.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -79 or -490982\/6149?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -186 by -11.\nAnswer: 186\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.08 + 0.16. Let h = n - -0.38. Round h to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, -98.25, 0.4, 0.03?\nAnswer: -98.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 388212 or 388198?\nAnswer: 388212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 54, 0.08, 1, 4, -2\/3, -71?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/20 + (5 - 14 - -4))*(84 - 89).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 <= 69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 1. Let d be -2*(0 - (b + 2)). Sort d, -2, 3 in descending order.\nAnswer: 3, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.11 + -103.869.\nAnswer: -84.759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {l: 5, t: 2, k: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + 0.2. Let u be (6\/56)\/(((-10)\/(-35))\/1). Which is the biggest value? (a) u (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 4*d**2 - 5*d**2)*(-10*d + 10*d + 5*d**2)*(2*d - 5*d + 4*d).\nAnswer: -5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -12. Let c be 1 + -4 + 4 + x. Suppose 11 + 2 = 5*k - 3*m, 20 = c*m. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 7*u**2 - 4. What is z(-3)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 4 - (-6 - (1 - 6))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/4 + (25\/(-30))\/(-1). Let x(b) be the first derivative of 0*b + 3 - 3*b**2 - s*b**3. What is the second derivative of x(v) wrt v?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185259576353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5196 - -5900. Calculate the greatest common divisor of r and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 2*p + 206, 3*v - 2*p - 876 + 571 = 0. Calculate the greatest common divisor of v and 3531.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 - -43. Suppose 23 = 3*q + a*s, q - 7 = -2*s - 0*s. Is q a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 - 14*t + 12. Let n be z(9). Suppose -93 = -4*s + 3*v, -5*s - 5*v = -173 + n. 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: Let c be 16\/24 - (-14)\/6. Suppose -5*u = 5, l = c*u - 7 + 26. Suppose 11*d + 190 = l*d. Is d a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42271303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 44 + 40 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -25\/4 (b) -0.4 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -922*l + 228*l + 1344 + 234*l + 227*l + 232*l in the form j + f*l and give j.\nAnswer: 1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - i**2 + 1. Let v be x(3). Let l(z) = 6*z**3 - 2*z**2 - 2*z + 2. Let t be l(-2). Let o = v - t. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11410 is divided by 431?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -60 - -14?\nAnswer: -4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11\/68 - 3\/34. Let j = 23 - 25. Sort j, n, 0 in decreasing order.\nAnswer: 0, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 8*g - 5*g = 2, -4*g = 3*s - 11 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -13. Let b(o) = -2*o - 4. Let d be b(p). Factor 2*u**2 + u**2 + 2*u**d + 25 - 33*u + 3*u.\nAnswer: 5*(u - 5)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4db (base 15) to base 2\nAnswer: 10001010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 212*s**2 - 6*s - 1. Let t(n) = -425*n**2 + 11*n + 2. Determine 11*m(z) + 6*t(z).\nAnswer: -218*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -25487663 rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and -0.01.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.069 - -0.131. Put v, -0.5, 2, 1 in ascending order.\nAnswer: -0.5, v, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 8. Let u be h(6). Suppose 5*c = m - 12, 0 = 5*m + u*c - 3 - 3. Let x(l) be the first derivative of -l**3\/3 + 3*l**2\/2 - 2*l - 2. What is x(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -126 - -40. Let c = 86.000191 + m. What is c rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 - 37. Let w(r) = r**3 + 2*r**2 + 65. Let u be w(0). Calculate the highest common factor of u and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -4.5. Let g = a + -0.4. What is the nearest to g in 1\/4, 0.3, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/8)\/((-3)\/4). Suppose -3*w = 4*v - 70, 0*w - 41 = -a*w + 3*v. Calculate the remainder when 8\/(-24) - 512\/(-6) is divided by w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 418 and 722.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ut when two letters picked without replacement from {x: 4, t: 4, u: 3}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 8*d - 10. Determine i so that 94*i**3 + 94*i**3 - 2*i**d - 6*i**2 - 271*i**3 - 12*i + 8 + 95*i**3 = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 12:22 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 52 and 1266419.\nAnswer: 65853788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -2. Let p = -145 - -137.3. Let d = 8 + p. What is the biggest value in f, d, -2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -1040*d + 28. Let z(v) = v**2. Determine t(z(g)).\nAnswer: -1040*g**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - (-2*sqrt(96))\/sqrt(8))\/(sqrt(6) - 1*sqrt(216)).\nAnswer: -3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 2478 = -f - 8*s, 9888 = 4*f - 4*s. Let n = f - 823. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 126.9 and 1?\nAnswer: 125.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 1997*d - 11515. What is i(7)?\nAnswer: 2464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s + 2*s**2 - 2*s**2 - 4*s + 6*s**2. Calculate the lowest common multiple of p(-1) and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-10)\/v)\/(v*v*v\/(v*v**(-4)*v))*v**4*v*v**(7\/4))**5 assuming v is positive.\nAnswer: v**(-185\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/13, 3\/2, -7\/3, 2\/7 in increasing order.\nAnswer: -7\/3, -3\/13, 2\/7, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 + 3*q**2 - 6*q**2 - 4*q**2 + 6*q**2 - 3*q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxi when three letters picked without replacement from {i: 1, w: 3, u: 1, t: 3, x: 3, m: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 310 - 328. Let b = 19 + -1. Let j be (-4)\/g + (-94)\/b. Is j not equal to 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**2 + 8*p + 58. Give u(-7).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - -3.7. Let f = 7273.2 + -7273. Which is the nearest to 2\/7? (a) f (b) v (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3 - -6) + -2)*-2. Let j(g) = 2*g**3 + 5. Let a(c) = c**3 + 2. Give y*j(s) + 5*a(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1571\/19176 + 5\/376. Is b at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037403196 to the power of 1\/2, to the nearest integer?\nAnswer: 32209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98, 0.1, 1, 12186 in descending order.\nAnswer: 12186, 98, 1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6*l - 4*w = 52, -4*l - 49 = -3*w. Let i(p) = -p**2 - 17*p + 14. Does 6 divide i(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 + (-2)\/(-4) + -7)\/(540\/416). Is g greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44965932*p - 8294084 wrt p.\nAnswer: 44965932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9\/4 (b) 10380 (c) -1\/4 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7484 = -510*v + 6286 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4848476 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*k + 11 = -3*y + 9*k, -4*y - 16 = -3*k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.045, 4, -1?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19401 is divided by 606.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1644)\/(-4662) + (-1)\/3. Let w = d - 6\/37. Let l = -4.959 - 0.041. Which is the smallest value? (a) -4\/5 (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*i**2 + 3*i**2 + 8*i**2 - 2*i**2 as z + t*i**2 + y*i and give t.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 652170 is divided by 217255?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**4 + 4 - i**4 - 2 - i**3 - 14*i**3 + 2*i - 4 - 2*i**2 to z*i + j + a*i**3 + y*i**2 + d*i**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.6 in 2, 1886, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + -5 + (-3 + sqrt(13))*-4 - -2*((sqrt(39)\/sqrt(3))**2 + -2 + -1)).\nAnswer: -4*sqrt(13) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6017021093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from jrjrjj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 8*h - 3 = 0. Suppose -532*c = 205*c - 2211. Solve -2*i + h = -c*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + v = -4375 - 1917, 4*v = 3*t + 3766. Let y = -81774\/65 - t. Is y > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -8*f - 11*f. Sort -2, f, 4, -5.\nAnswer: -5, f, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {e: 7, x: 2, q: 9}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/25)\/(4*(-14)\/210)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 19. Solve 2 = -x*g - 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33061 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 6:01 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -213 + 216. Is 2 >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*d + 50*d - 964 = -15*d + 940 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2711, 2714, 2717, 2720, 2723?\nAnswer: 2726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c. Let l(m) = 29*m + 11. Let r = -22 - -11. Let n(q) = -10*q - 4. Let y(a) = r*n(a) - 4*l(a). Calculate y(z(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 - 33. Suppose 5*r = -3*w - 2*w + q, 0 = -4*w. Suppose r*y - 36 = n, -2*y + 5*n + 22 = 4. Solve -y = -5*d - 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 116\/3*n - 112\/3 - 4\/3*n**2.\nAnswer: -4*(n - 28)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 47 = -5*r + 123, 3*y = 5*r + 22. Suppose -3*v = 4*l - 85, 3*l + 27 = v + 4*l. What is the remainder when v is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.994537 millilitres in litres?\nAnswer: 0.007994537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204770742 a multiple of 497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 450\/(-54) + 5 + (-154)\/(-30)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11475 != 11244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 118 - 116. Let c be m\/6*27*(3 - 0). Suppose 2*j = -7*j + c. Solve 0 = -5*o + 5*v + 25, -j*o + 11 = -3*v + 2*v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3748*f**2. Let v(b) = 756*b. Calculate j(v(y)).\nAnswer: -2142116928*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 8*m + 88. Let q be b(-6). Suppose q*x + 35 = 19. Put x, 13, -2 in descending order.\nAnswer: 13, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5400\/594 + 1*-9?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/101321 and 49\/36844.\nAnswer: 405284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1288, 8572, 28196, 66328, 129136, 222788?\nAnswer: 353452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 6:34 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 6*w - 3. Let f be n(6). Sort -9, f, -1 in increasing order.\nAnswer: -9, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 1617710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 196323\/38 - 5167. Calculate the common denominator of 33\/4 and v.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -49*t. Let m(x) = 13*x**2. What is m(n(b))?\nAnswer: 31213*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p\/(p**(-1\/3)\/p))\/(p**(-6)*p))\/((p*p**(2\/5)*p*p)\/p**5))\/((p*p**(1\/5))\/(p*p**(-1\/7))*p**(-1)\/(p\/(p\/p**(5\/2)))) assuming p is positive.\nAnswer: p**(2959\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2 - -2 - 1). Let p be 1 + 0 - (-12)\/l. Let i(x) = x**3 + 11*x**2 - 8*x - 11. Is i(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-57)\/(-5) + (-12)\/30. Let w(f) = f**3 - 12*f**2 + 9*f + 27. Let n be w(a). What is the second derivative of -t**5 + 5*t**n + 24*t + 7*t - t wrt t?\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t = 4*t + 57*t + 265 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 107, 260, 491, 800?\nAnswer: 1187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56160 and 288.\nAnswer: 56160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + 2 - 2)*(1 + 62 - 190) + 2*v - 2*v + 2*v.\nAnswer: 383*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*n + 251*n - 28261 = -442*n + 4089 for n.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/((j\/j**8)\/j))\/j*(j**(2\/3)\/j*j*j*j)\/j)**(-27)*(j*j**(-1\/2)*(j**(-1\/8)\/j)\/j*j)\/(j**0*j\/((j*j**(-5))\/j)) assuming j is positive.\nAnswer: j**(-2357\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from {h: 1, p: 2, s: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -33. Let b be 0\/3 - (-6 - 1). Sort b, w, 4 in increasing order.\nAnswer: w, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3 + 207 = 0. Let n = f + 36. Let i = -7 - n. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -520 + 517. Put -2\/23, 0, p in decreasing order.\nAnswer: 0, -2\/23, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (33\/(-69))\/(1\/(-11)) - (-10 + 15). Put 8, 1, 3\/8, k in decreasing order.\nAnswer: 8, 1, 3\/8, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385020 divided by -31?\nAnswer: -12420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 13 = l + 2*l, 3*h - 15 = 3*l. Let s be ((-5)\/(5\/l))\/(0 - -1). Let g(w) = -w. Let p(b) = b**2 + 3. Let j(r) = 4*g(r) + p(r). Give j(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-10) + (-420)\/(-1470) + (-3)\/(-14). Let w be (-7 - -3) + 4 - 2. Let h = 0.08 - 0.38. Which is the nearest to g? (a) h (b) 4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 10) in base 15?\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(11*z - 6 + 5 - 3*z).\nAnswer: -16*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*r + 177*r**2 + 232*r**2 + 99*r**2 - 129*r.\nAnswer: 508*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69335 and 588?\nAnswer: 832020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4c7397 (base 16) to base 15\nAnswer: 68e81c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 617062334 - 4?\nAnswer: 617062330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2268462*w**4 + 111813*w**2 - 4*w + 1 wrt w?\nAnswer: -54443088*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8407384, -8407383, -8407382, -8407381, -8407380, -8407379?\nAnswer: -8407378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of l**5\/4 - 7*l**2\/2 - l. Differentiate x(b) with respect to b.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -21. Suppose n = 3*f - 5*h - 118, -2*f = -5*h - 28 - 59. Let q(b) = -f + 31 - 11*b**2. Let a(o) = -7*o**2. Determine q(a(u)).\nAnswer: -539*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005159 rounded to 5 decimal places?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -50.1057605 and -2.7.\nAnswer: -52.8057605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*b + 549 - 585 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 + -3)\/((-4)\/2). Let n(i) = -i**2 + i - 1. Let f(d) = -3*d**2 + 4*d - 2*d + 2 - 4. Let r(j) = u*n(j) - f(j). Let a(q) = -4*q**2. Give r(a(v)).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from maoeemxxpopx?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/3)\/(((-160)\/30)\/8). Suppose 2*x - 5*i + 21 = -3, 4*x = n*i - 16. Put x, -1, 127 in descending order.\nAnswer: 127, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87\/2*(-23875494)\/(-1899) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115460941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7 + -363b?\nAnswer: -3645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -78 divided by 78?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2398315476?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 868 = 23*f - 27*f, 2*i + 5*f = 1739. Solve -862 = -2*w - i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35 + 6*r + 15 + 3*r - 5*r in the form a*r + v and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 10*f - 4. What is the units digit of w(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b + 346 + 54. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**3 - n**2 + 10*n - 1. Let w(f) = -13*f**2 - 7*f + 41. Let s(x) = 2*w(x) - 9*y(x). Is s(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 23971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -152956.2193 - -152965. Round h to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -52 + 2 - (23 + 103 - 117)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -2.2. What is x rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20291 is divided by 61.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 264.196361 + -264.2. What is w rounded to four dps?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -3\/4, -191, 0.5, -4\/3, 4, 611, 1?\nAnswer: 611","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/((-1)\/(-4) - 1). Suppose 0 = 31*x - 35*x, p - 2 = -2*x. Calculate the highest common divisor of k and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3399.88 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 40*x - 1270. Give q(32).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 410990*g*u - 2038444*g + 2*u wrt u.\nAnswer: 410990*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 158941?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -6253872 smaller than -6253871?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*l - 361*l + 190*l + 14 + 8 - 22.\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 5*b**2 - 4*b - 4. Suppose -3*p - 4*d = 24, 0 = -p - 4*p - 3*d - 29. Let n(w) = 4*w**2 - 5*w - 5. Give p*n(o) + 5*f(o).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**4 - 8206*i**3 + 1641952*i**2 - 84256640*i = 0?\nAnswer: 0, 104, 3895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 + 3*o + 4. Let i(v) = -2*v**2 - 2*v - 3. Let n(d) = -3*a(d) - 4*i(d). Let r(f) = -2*f. What is -n(c) + r(c)?\nAnswer: c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10672)\/(-64))\/29*(-4 - 0). Is -23 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*t + 21264 = 41041 - 23391 for t.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u + 64*u - 13*u - 207611 = 0. Calculate the smallest common multiple of 9 and u.\nAnswer: 64431","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5753, 11494, 17221, 22940, 28657, 34378?\nAnswer: 40109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*u = 4*n - 23, 0 = -5*n + 5*u + 10. Suppose -2*l - l = -3. Sort 2, l, n in decreasing order.\nAnswer: n, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -150 - -105. Let h = z - -27. Is 115\/3 - h\/27 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -56 = -624\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.517 + 683283165?\nAnswer: 683283174.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -12. Suppose 5 + 1 = -3*a, -3*v + 5 = -a. Let k = 6 + v. What is the lowest common multiple of x and k?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -5. Suppose -d*i + 25 = 9. Let a(k) = k**2 + 1. Let r(t) = t**2 + t. Let m(q) = 4*q**2 - q + 4. Let n(p) = m(p) + r(p). Determine i*a(y) - n(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 e, and 1 p when three letters picked without replacement from eepux?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 678, 0.2 in ascending order.\nAnswer: -5, 0.2, 5, 678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247356.\nAnswer: 2, 3, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 275.06 times -5\nAnswer: -1375.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -13 - 19*y**3 - 14 + 23 wrt y?\nAnswer: -57*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 + 29*r + 37. Let y be p(16). List the prime factors of y\/(66\/2886)*-3.\nAnswer: 3, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16 * -0.8646446.\nAnswer: 13.8343136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3043 and 7998973.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 0 + -1 - (0 + -8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30402436?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 48\/11 and -12\/77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-2)*3620170\/1075 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4*(-1)\/2)\/((-4)\/6). Suppose -r + 14 = -h. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -368 - -575. What is the nearest to 1 in 1\/5, s, -2\/11?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*f - 6*f + 0*f)*(230 + 327 - 144) - 2*f + 0 + 0)*(16 + 3*f - f - 15).\nAnswer: -1656*f**2 - 828*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46150 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 1:48 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/8)\/((500\/(-150))\/(3\/((-36)\/128)))?\nAnswer: -36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 296027 - 133531. Let y = n - 162517.0734. Let q = y - 0.0266. Round q to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446183 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 138389, 138375, 138337, 138263, 138141, 137959, 137705, 137367?\nAnswer: 136933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-5)*l)\/(((l\/l**(4\/7))\/l)\/l))**19 assuming l is positive.\nAnswer: l**(-190\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(13) + sqrt(13)*2 + -1.\nAnswer: 4 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 488*m**3*t - 588052*m**3 + m**2*t - 33*t wrt t?\nAnswer: 488*m**3 + m**2 - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, y: 11}. What is prob of sequence vy?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -316.\nAnswer: -1\/316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 88 = -8. Suppose 4*j - 4 = 3*t - 9, -5*t + 55 = 5*j. What is the remainder when k is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62\/3 + -21. Let t be 4\/(-35) - 2\/7. Let n = 42\/11 + -4. Which is the nearest to k? (a) t (b) -1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 3*r + 2*r + 18, 0 = -5*p + 6*r + 29 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41724b + 6?\nAnswer: 417253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*204\/255*3\/(-6).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 95, 8, -2 in decreasing order.\nAnswer: 95, 8, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 6 - 7 - 3 - 2 + 3 - 3 + 0 + 2 + (-2 + 2 + 1)*(2 - 2 - 2) + 2 + 2 - 3 + (4 + 0 - 3)*(-2 + 0 + 4) + 1 + 3 - 2 + 2 - 2 + 1)*(-3 + 2*f + 3).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 10. Suppose 5*p = -4*i + 135, 2*p + q*i = -0*p + 47. Suppose -5*v - 5 = 2*f, -6*f + f + p = -2*v. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.3 (c) -2837\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 490733?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -224ac0 (base 16) in base 15?\nAnswer: -2e5d40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.06 (b) -3 (c) 162\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 10*l**2 + 36*l + 44. Suppose -y + 10 = -t, -t = 3*t - 2*y + 46. What is the tens digit of x(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 3*y = -7, -12 = 4*q - 0*y + 4*y. What is the nearest to 1 in -4\/7, q, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23, 95, 253, 527, 947, 1543, 2345?\n\"Answer: 5*s**3 + 13*s**2 - 2*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93 + -120. Let v(b) = -b**2 - 27*b + 2. Is v(g) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.0389 (b) -5 (c) -8 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 6.4092?\nAnswer: -19.2276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 23*w + 294. Give v(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*a = -18, t + 111 = -5*a + 120. Let p be -4 + (-44)\/(-8) + -3. What is the nearest to 0.1 in -0.04, p, t, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -85 at least as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 282913326?\nAnswer: 282913322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2861 is divided by 178.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u - 8*u + 5*u + 8*u.\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 111342971.46 rounded to the nearest one hundred thousand?\nAnswer: 111300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = 109 + 35. Suppose -u = -2*o - 2*y, y = -0*o - 4*o + 36. Find the common denominator of 5\/10 - (-27)\/o and 53\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -710429, -710426, -710423?\n\"Answer: 3*r - 710432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21560 and 16464?\nAnswer: 905520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 137*p = 1769, 5*c - 5*p + 537 = 452 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -15485939 and -15485940 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(5\/(5*(-6)\/108)))\/(-1).\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 7:26 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 1:39 AM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 138 + -95. Suppose -13 = 5*c - 48. Suppose -c*p - 13 = -174. What is the remainder when g is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of -o**3 - 4*o**2 - 10*o. What are the prime factors of c(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100 - 10101100?\nAnswer: -11100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b*b**20)*b**44)**(-23))**(-1\/8) assuming b is positive.\nAnswer: b**(529\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 57105381 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298793401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11430 (base 6) to base 2\nAnswer: -11010001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - -2. Suppose 0 = -7*g + v*g + 2464. Let o = -353 + g. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-3))\/((-10)\/(-15)). Let t(c) = 2*c**3 - 2*c**2 - 32*c + 38. Let m be t(4). Sort f, 0, m in ascending order.\nAnswer: 0, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/9)*z**(-3\/5)*z*z*z**(2\/5)*z*z*z\/(z*z*z**(5\/4)\/z)*z*((z*z**8)\/z**(-8))\/((z*z**3\/z)\/z*z\/(z*z*z*(z*z\/z**2*z)\/z)) assuming z is positive.\nAnswer: z**(3739\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j*q*t**2 + 5*j*q + j*t**4 + 6*j*t**3 - 3*j*t**2 - 3*q*t**5 wrt t.\nAnswer: 24*j*t + 36*j - 180*q*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/13332 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -2)\/((-1)\/(-3)). What is the closest to 1\/4 in a, -3\/2, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 193964 is divided by 506?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.39848 rounded to one dp?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 68061, 0.2, -4, -0.7, -0.07 in increasing order.\nAnswer: -4, -0.7, -0.07, 0.2, 2, 68061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 19 - 249 = 0. Let k = 300 - z. Calculate the greatest common factor of k and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = y + 4*y - 173, -40 = -y - 5*b. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 18*y - 2. Let f(b) = 59*b - 6. Let l(r) = 3*f(r) - 8*u(r). What is l(-1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68 + 20*b - 68)*(-7*b**4 - 112 + 112)*(1 - 2 - 1).\nAnswer: 280*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4019.3 and -0.11?\nAnswer: -442.123","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 13, s: 5}. What is prob of picking 3 s?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-14) + (-6)\/(-30)*5. Let u = -63 + 65. What is the smallest value in u, 5, 1\/3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -w + 3, 8*m = -7 - 1. Find h, given that 20\/9*h**w - 4\/3 - 28\/9*h - 8\/9*h**2 + 4\/9*h**5 + 8\/3*h**3 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25787.98 micrograms?\nAnswer: 25787980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-4 - -6) + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, r: 9, j: 5}. What is prob of picking 1 j and 3 r?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 7*y**2 - 166*y + 3826. What is the thousands digit of s(25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f + 1. Let b be h(1). Let g = 2 - b. What is the units digit of g\/16 - 41\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2688 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 16. Let x = 2 + -2. Let h = -2.9 - -3. What is the second biggest value in i, h, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 305 and 4453.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 8*y**8\/7 + 3*y**5\/4 - 386*y**4\/3 + 3808*y. Find the third derivative of f(b) wrt b.\nAnswer: 7680*b**3 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 33 = -5*d + 5, -4 = 2*i + 2*d. Suppose i*v = -2*v. Suppose 2*p + p - 6 = 0. Solve v*k = -p*k - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 2*y**2 + 3*y + 2. Let t = 5 - 2. Let c(b) = 6*b + 9 + 4*b**t - 2 + 4*b + 7*b**2. Let v(o) = -2*c(o) + 7*n(o). Factor v(j).\nAnswer: -j*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.5 + 10.8. Put 2\/7, -0.1, g, -0.31 in decreasing order.\nAnswer: g, 2\/7, -0.1, -0.31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*j = 9, t - 1 - 2 = 2*j. Suppose -5*v - 5*w - 13 = 12, -v + t*w - 1 = 0. What is the least common multiple of 6 and 1\/(-3)*(v + -23)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/726088 and 61\/5587934.\nAnswer: 827014232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q**3 + 2*q**2 + 2*q + 1. Let s be i(-1). What are the prime factors of (-131)\/s - 1\/5?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s**(-2\/3)\/s*s)\/s*s)**(5\/8))**49 assuming s is positive.\nAnswer: s**(245\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -51, -5, -6 in ascending order.\nAnswer: -51, -6, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1316 - 1314) + (1 + 4 - (4 - -4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1275.109101us?\nAnswer: 0.0000000021083153125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2843*g**3 + 193*g**2*p - 702*g*p + 1645*g wrt g.\nAnswer: 17058*g + 386*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*s - 111*s - 132 = -40*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*g + g - 21*g)*(-6 + 6 - g).\nAnswer: -19*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(896))\/(sqrt(8) + ((sqrt(64)*1)\/sqrt(8) - sqrt(8))) - (sqrt(847)*-1 + -5)**2*-2.\nAnswer: 204*sqrt(7) + 1744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 3883450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 31 - 29960*g + 29935*g - 280. What is b(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5127 (base 12) to base 15.\nAnswer: 292a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/15 (b) -4 (c) 139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezls when four letters picked without replacement from ezlszllllzllzzszszle?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16937860.000247 - 16937895. Let t = g + 35. Round t to 5 dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmm when four letters picked without replacement from {i: 3, m: 5}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 313.329056 to the nearest integer.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -107770.511 to the nearest 10.\nAnswer: -107770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a + 14. Let t be f(-10). Calculate the greatest common factor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a**4 + 460*a + 12*a**3 - 231*a**2 - 22*a**4 - 555*a**2 - 54*a**2 + 123*a**3 + 1440 = 0. What is a?\nAnswer: -1, 2, 8, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * 0.5287.\nAnswer: 0.37009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/2483788 and -47\/620947?\nAnswer: 2483788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 82, 174, 314, 508, 762, 1082?\nAnswer: 1474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671413 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8.4? (a) -1 (b) 6 (c) 1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.183180995 rounded to 3 dps?\nAnswer: -0.183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002849175595 to 5 decimal places.\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/((-336)\/180) + -10. Solve u*c - 4*w = -3*w - 11, -2*w = 4*c + 20 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 4.2. Let g = -2 + 1.9. What is the nearest to s in -4, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0812 - -2371.\nAnswer: 2370.9188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 10:58 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4736 - 4736.1082. Which is smaller: 0.1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 1. Let x(a) = -6*a**2 - 2*a - 22. Give -44*l(t) - 2*x(t).\nAnswer: 12*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b. Suppose 0 = -3*j + 9 - 24. Let g(s) = 4*s. Let i be (24\/18 - 4)*(-12)\/(-8). Give i*p(z) + j*g(z).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 18. Let h(b) = b + 16. Let o(j) = -6*h(j) - 5*k(j). Determine o(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -6 - 2. Suppose -5*l - q = -12. Suppose 0 = -5*m + 4*i + 35, l*m - 5*i - 7 = 7. Solve 4*x + 23 = m for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 2*j + 15 - 29, 0 = j - 3. Solve -15*m = -11*m - u, -4*s + 29 = 5*m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (140\/45)\/((15\/(-135))\/(-1)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7*v**3 + 4*v**2 - 4*v. Let n be x(1). Let d(q) = -2*q - 4. Give d(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -p + 4*p - 9, 3*p + o = 13. Suppose -p*f = 4*y + 5 - 35, 0 = 3*f + 2*y - 16. Factor -2\/5*g**f - 2\/5*g + 0.\nAnswer: -2*g*(g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 931.2349 hours to nanoseconds.\nAnswer: 3352445640000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -4*b - 2 + 22, -b = r + 1. What is the lowest common multiple of b and ((-1)\/2)\/((-1)\/40)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 2:44 PM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 15 + 3 - (0 - -20)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 5:31 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 16, 2 in decreasing order.\nAnswer: 50, 16, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/42)\/((-1)\/3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 9*a**2 + 7*a + 11. Let n be (-3 - 1) + -10 + 22. Let h be j(n). Suppose 4*i - 1814 = 2*o, -2*o - 1363 = -h*i - 0*o. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + -4 + 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y**3 + 9830*y**2 + 98675*y + 247000 = 0. What is y?\nAnswer: -5, 1976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 223748770 to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 798 is divided by 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 481*o**2 + 483*o**2 - 962*o**2 - 81 to the form i*o**2 + m*o + y and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 11. Let f be (6 + -3)*(-3)\/9. Let o(m) = -1 + 2*m + 3*m**3 - 2*m**3 - m. Let t(d) = 5*d**3 - 2*d**2 + 6*d - 8. What is f*t(z) + l*o(z)?\nAnswer: z**3 + 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -559*l**2 - 254*l - 1. Let d(o) = 280*o**2 + 127*o. Let h(p) = -2*c(p) - 5*d(p). What is the second derivative of h(s) wrt s?\nAnswer: -564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(144) + sqrt(27)\/sqrt(576) + sqrt(3).\nAnswer: 31*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0077694 to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.82 + -0.18. Which is the biggest value? (a) t (b) 0.1 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n + 12*n - 3055 = 64*n - 18*n for n.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-60)\/(-990) + (-295)\/(-33). Let v(n) = -n**2 + 12*n - 11. Give v(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 27*u**3 - 25*u**3 + 2*u.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**7\/840 - t**6\/72 + 7*t**5\/120 - 5*t**4\/24 - 2*t**3\/3 - 5*t**2. Let g(c) be the first derivative of j(c). Determine g(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/9)*w**(-3))\/((w**(-1\/4)*w)\/(w*w*w*w\/(w*w\/(w\/w**(-2\/3))*w*w)*w)) assuming w is positive.\nAnswer: w**(5\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iililliiiiiiiliiill. What is prob of sequence iiil?\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -303\/5 + 61. Which is the nearest to -1? (a) i (b) -0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*0.09\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63 + -26. Let j = -27 + t. What is the greatest common factor of 40 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-54))\/((-20)\/(-6)*52\/780)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 59, 464, 1221, 2330, 3791, 5604?\n\"Answer: 176*i**2 - 123*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 5 (c) -58 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 668257512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-16 - -2) + 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v + 18. Let z(b) = -b. Let q(y) = -t(y) + 3*z(y). Let u be q(10). What is the third derivative of 24*h**6 - 63 - 12*h**u + 3*h**2 + 63 wrt h?\nAnswer: 2880*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1027004238 to the nearest integer?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -125844 rounded to the nearest one hundred?\nAnswer: -125800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*o**3 + 35*o**3 - 43*o**3.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0301 and -0.1.\nAnswer: -0.0699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tiilltttitil. What is prob of picking 2 t?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83835668922 - 0.05.\nAnswer: -83835668922.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {x: 4, b: 2, m: 1, g: 3, h: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 20*k - 1490 = -5*h, 3*k - 936 = 4*h. Is k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 13 = -4*i, 4*i = -6*z + 2*z + 16 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + -10)*15*16\/40.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*j - 163 = -4*m + 114, -690*m - 152 = -694*m + 4*j for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, 0.3, 2, 35 in decreasing order.\nAnswer: 35, 2, 0.3, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -18 divided by -45\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 23*m - 15. Let h(t) = t**3 + 19*t**2 - 20*t + 4. Let i be h(-20). Is 11 a factor of s(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2069b7 (base 13) to base 4\nAnswer: 2320322333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10022101 (base 5) in base 6?\nAnswer: -1412431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256868559 is divided by 3158?\nAnswer: 3155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 4*b + 132, -3*p + 8*p - 323 = -3*b. Calculate the highest common factor of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 2*h + 297 = 303, 2*j - h = 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-66)\/10 + 18\/(-45). Let d(n) = n**2 + 6*n + 5. Does 3 divide d(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5\/4*f**3 + 0 - 5\/2*f**2 + 5\/4*f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 3 - 48) + 4 - (-8 + 15 + -13)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/154*(28\/630)\/(2\/35)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4*(4\/(-2))\/1. Let j(f) = -8*f**3 + 5*f**2 + 4*f - 1. Let v be j(-1). Calculate the greatest common divisor of y and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.58 rounded to zero decimal places?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -418885280 divided by 361108\nAnswer: -1160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -58*s**2 + 62*s. Let v be n(-5). Find the common denominator of -95\/164 and (935\/v)\/(3\/28).\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -j + 35, 2*h + 3*j - 6 = -1. Solve -9*q + 4*q + h = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 29*x**2 - 5*x + 2. Calculate the smallest common multiple of (1\/(-2))\/(1\/(-40)) and a(1).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-3) - (5044\/(-390) - -14). Which is the second biggest value? (a) q (b) -2 (c) 3.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -3*m**4\/2 - 11*m**3\/3 - 44*m. Find the second derivative of j(l) wrt l.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*f - 95 = 6*f - 0*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nll when three letters picked without replacement from {n: 8, l: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 199214783?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -104, -164, -230?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) - sqrt(136)*-2*-2)\/(2*sqrt(288)).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 151. Is 28 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0 (b) -4.84 (c) 1 (d) -8\/17 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-11))\/((b\/(b**(-5)*b))\/b)*(b**3)**7)**(1\/68))**(2\/13) assuming b is positive.\nAnswer: b**(7\/442)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 375 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 108 and 3456.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 410 - 335. Calculate the remainder when q is divided by 49.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3096 - 3093. Let d(q) = -3*q. Let r be d(-1). Suppose -s = -w + v*s - 9, r*w - 3*s = 18. Calculate the greatest common factor of 88 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -9852937.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*u - 3*u = -7464109, -4*u = 16. Let i = l + 17179. What is i rounded to the nearest 100000?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((-1 - 0) + (-8 - -5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 12 = -3*h + 5, -3*k + 15 = 3*h. Which is the closest to 0.07? (a) k (b) -0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18807 + 18821. Solve -y*u = 12*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -56*a**3 - 2*a**2 - a. Let d be (3\/(-6))\/(2\/4). Is 16 a factor of r(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4818 or -4832?\nAnswer: -4818","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -810112 by 128.\nAnswer: -6329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 25*y**2 + 5*y - 6. Let v be j(4). Suppose -z + 3*c + 413 + v = 0, -z + 807 = 2*c. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/10 and -37\/1615?\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8492.5022 rounded to the nearest ten?\nAnswer: -8490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 16 + 2*r - 6 - 9 + 16.\nAnswer: 2*r + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 138674, 6 in increasing order.\nAnswer: -2, 6, 138674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3002 + 3022. Calculate the highest common factor of 15140 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(-247))\/(3\/3*(-1)\/1).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/31, -5, 81?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00024994 to five decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 11:13 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20\/(-24))\/(13\/78). Suppose -q + 10 = -17. Let p = 79\/3 - q. Sort p, -0.03, r in increasing order.\nAnswer: r, p, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-4))\/((-10)\/720). Suppose 0 = -2*v - 10*v + w. Suppose -4*f + 2*f - v*j + 424 = 0, 4*j - 426 = -2*f. List the prime factors of f.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.910377 and -0.4?\nAnswer: -2.3641508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -487 = 3*c - 3172. Let a = 1622 + c. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m - 1. Let u(o) be the first derivative of 5*o**2\/2 + 18*o - 5. Let y(r) = -6*s(r) - u(r). Let c be y(7). Sort 3, -1, c in ascending order.\nAnswer: c, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -176532.599996 - -176533. Let v = y - 0.4. Round v to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 14*p**2 - 10*p + 3. Let t be w(15). What is the greatest common factor of t and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 2, -1\/5, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121120211110 - 1021?\nAnswer: -121120212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 2:12 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 696 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 77.48499 centimeters?\nAnswer: 0.0007748499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**2 - 3*t**2 + 838*t**3 - 3572*t**3.\nAnswer: -2734*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (72*c**2 + 955*c - 501*c**2 + 1 - 953*c)*(-4*c + 4*c + c) to s*c**2 + v + u*c**3 + z*c and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -1391*c - 101551. Give p(-73).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 771 = 714. Let r(t) be the third derivative of -10*t**2 + 0 + 0*t + 0*t**4 - 1\/60*t**5 + 5\/2*t**p. Find the first derivative of r(w) wrt w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -4906.3 - -4906. Which is the closest to 0.1? (a) -5 (b) 121 (c) 0 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does -1\/237242 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 633*t - 5020 = 677 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2985182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -15 - -42402.8451\nAnswer: 42387.8451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 7*d**3 + 15*d**2 - 13*d - 2. Give i(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, t: 3, l: 3}. What is prob of sequence llg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = t + 2*t + 3*t. Solve -3*p - 3 = t, 11*p = 4*m + 7*p - 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*c + 95 + 165 = 71*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 665 and 570.\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 283*b - 47. Let l be v(5). Let d = 787 + l. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4180, -4506, -5106, -6118, -7680?\nAnswer: -9930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2 + 6*x - 10*x - x. Determine k(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.16 times -12?\nAnswer: 109.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/5920685 and 27\/2492920?\nAnswer: 47365480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - y + 3. Let v(d) = -5*d**3 + d**2 - d - 4. Is v(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1503 + 1496. What is the third biggest value in 4\/3, x, -2, -2.4?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.029 + 0.009. Let l = -0.22 - f. Which is the nearest to 2\/3? (a) -0.5 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 547, 1095, 1643, 2191?\n\"Answer: 548*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5198542 to the power of 1\/2, to the nearest integer?\nAnswer: 2280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 104, 123, 128, 113, 72, -1, -112?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2620?\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 8*w - 3. Calculate t(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c - 1. Let q(v) = -4*v**2 + 25*v - 227. Let d(m) = -2*m**2 + 13*m - 113. Let h(n) = -9*d(n) + 4*q(n). Let r(j) = 22*g(j) + 2*h(j). Factor r(y).\nAnswer: 4*(y - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p - 2532 - 368 = 0. Calculate the remainder when p is divided by 113.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*p**3 + 77*p**4 - 78*p**4 - 12*p**3)*(-404 + 51 - 5).\nAnswer: 358*p**4 + 11814*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22354763 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.01449 (b) 3\/2 (c) 6 (d) -92\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*1\/(-1)*(-6)\/18?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 53*c**2 - 36*c - 831. Determine o(52).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + 0*g**2 + 2*g**2 + g**2)*(184 - 98 - 112) to the form j*g**2 + r*g + c and give r.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/((-760)\/(-340)) - 9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -11 + 3665\/105 + (-2)\/(-21). Calculate the highest common divisor of r and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4, 0 = -2*i + i - 5*m + 21. Suppose -4*n + 2*n = -5*b, 0 = -4*b - n + 13. Suppose b*l - 39 = l. Calculate the highest common divisor of l and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-3)*(-2)\/2. Suppose 104 = 3*d + 4*w, -3*w = d - 6 - 22. Let g be 54\/(-70) + (-272)\/d + 7. Which is the second biggest value? (a) 5 (b) g (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -407 + 412. Suppose 9*s - 6*s = -5*z + 1215, s - b*z - 385 = 0. What is the highest common divisor of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 17*y - 28*y**2 + 7 + 8*y - 26*y to the form f + s*y**2 + k*y and give s.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f = 5 - 37 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 - 8*n + 10. Suppose -87*y + 78*y + 6849 = 0. Suppose 731 - y = -2*j. Calculate the remainder when j is divided by g(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1195*v - 3602*v + 1203*v + 1204*v + 505*v**2.\nAnswer: 505*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*k - 17 + 80 = 0, 3*k = 9. Let v be (7\/(-21))\/(1\/93). Let q = v - -91. Calculate the greatest common divisor of y and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3331 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 + 3.05. What is the nearest to 0.2 in 0.4, -5, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**5\/20 - 7*y**4\/6 + 4*y**2 + 14*y. Is s(-14) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 3*v**5\/20 - 33*v**4\/16 + 35*v**3\/4 - 75*v**2\/8 - 414. Solve l(b) = 0 for b.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1756948 = 1756948?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from vrobvwvbrbvrvvr?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 4*m - 5*s, 23 + 20 = 2*m - 3*s. Suppose -2*n - 3*n = m. Let d(z) = 4*z + z + z**2 - z + 6. Give d(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 220 and 548356700.\nAnswer: 6031923700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, y: 4, u: 2}. Give prob of sequence yeu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 11*z**2 + 2*z + 13. Let y be r(0). Suppose 82 = 19*t - y. Solve -5*f + 0*f - 45 = t*a, 5 = 3*a - 5*f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -730*s + 777*s = 282 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -325*s - 3*s**3 - 3*s**3 + 5*s**3 + 11*s**3 + 325*s.\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 4*i - 16. Let z be (0 - -1) + (1 - 19). Let m = z + 32. Solve -p = i*p - m for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, 5, 29, 63, 107?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456 = -5*x + 1741. Let w = x - 169. Is w a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -4. Let j(u) = -7*u - 10 + 3*u + 3*u. Let g(q) = q + 7. What is r*g(p) + 5*j(p)?\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (3 - (1 - -1)) - (-6892 + 6887).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 b, 1 d, and 1 e when four letters picked without replacement from beofffoodoooo?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1508007, -71.9, -4.\nAnswer: -71.9, -4, 1508007","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 24 = -2. Let i(z) = -z**3 - 34*z**2 + 33*z + 18. Let k be i(-35). What is the greatest common factor of k and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103 - 28. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 + -35. Calculate the greatest common factor of 28 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 301.88 and -176012?\nAnswer: 176313.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**6*l**(-2)*(l*l**2)**(-4) assuming l is positive.\nAnswer: l**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 + -4.2. Let j = t + 11. Let w = j - 6.99996. Round w to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 = 9. Suppose -3*f + 4*f = o. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -76\/165 and 49\/330?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from vvvvvwvw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -129\/230 and 29\/460.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*(1 + 2*sqrt(832)*2) + -2*5*(sqrt(832) + sqrt(832)*1 + 1)*-2)**2.\nAnswer: 8064*sqrt(13) + 1078468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -14 + 4*g**2 + 2*g - 2*g**2 + 15 - 10*g**3. Determine y(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.72528139 to three decimal places.\nAnswer: -3.725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 5*l + 6 = -4*j, 3*j + l + 5 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) -3 (b) -4 (c) 1\/3 (d) 8.1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10\/63 (b) 0.5 (c) 63 (d) 2\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -n**5\/60 + n**4\/6 - n**3\/6 - n**2. Suppose 3*g - 4 = -z, 4*g = 12*z - 10*z - 8. Calculate p(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -3*q + 5*w - 2*w, 2*q = -5*w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 743067 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 4*z = 763 - 797, -2*p = 5*z + 51 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-588)*-4)\/(14\/28)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-51)*(-27)\/1620*-60?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1667924485 - 941701338. Let p = 726223143.30000209 - n. Let l = p + 3.7. What is l rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 173177 * -4.311.\nAnswer: -746566.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/i)**(-33)\/(i\/(i\/(i\/(i\/i**0))))**(-4\/3) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 4*g + 18 = 0, -106*s + 110*s - 12*g + 10*g = -12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -1638*p + 812449. Calculate q(496).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -27 - 30 + 88 - 13*t**2 + 3*t - 28. Let m(q) = 14*q**2 - 4*q - 4. Calculate 5*i(d) + 4*m(d).\nAnswer: -9*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(1\/7))**(1\/4)*q*(q**(-1\/7)*q)\/q*q*q*(((q\/(q\/(q**6\/q)))\/q)\/q)\/q assuming q is positive.\nAnswer: q**(71\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -49\/180*k**5 - 7\/9*k**4 + 0 + 1\/2*k**2 + 5*k - 8\/9*k**3. Let t(j) be the first derivative of n(j). Factor t(d).\nAnswer: -(7*d + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 12*r + 6. Let v(f) = -f - 1. Let l(t) = q(t) - 4*v(t). Let g be l(7). Find c such that 3*c**g + c + c - 5*c = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 249123.48 months?\nAnswer: 2076.029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15 + 18)\/((-6)\/21 + (-17925)\/(-62958)). Which is smaller: -2997 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 276 and 6969?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0726167584 rounded to six dps?\nAnswer: 0.072617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-2\/9))**(-26\/3)*s**(-9)*s*s\/(s*s**(-6))*s)**(2\/45))**(1\/16) assuming s is positive.\nAnswer: s**(5\/1944)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 824\/(-16) - 1\/(-2). Let h = -43 - y. What is the lowest common multiple of 4 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + (sqrt(76)\/(sqrt(4) - (2*sqrt(4) + sqrt(4))*-6) - (-5 + 1*sqrt(304))))**2.\nAnswer: -27364\/19 + 4800*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -712*u + 711*u - 6 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (9\/(-36))\/(2\/(-39)) and -97\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 11) in base 10?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/((-2*sqrt(40))\/sqrt(8)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21243*a + 21333*a + 8*a**3 - 42576*a.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*q + 2. Suppose -3*f + 39 = b - 23, -5*f = q*b - 170. What is the greatest common factor of 20 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/23? (a) -27 (b) -3\/5 (c) -4\/5 (d) -5 (e) -0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 13.2.\nAnswer: -52.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -9. Suppose l + 3 = -5. Is l bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*x = -24*x. Suppose -3*b = -6 - x. Factor -2*n**2 - 2*n**2 - 1 + 3*n + b*n.\nAnswer: -(n - 1)*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1475 - 2*l - 1148 + 2*l - 2*l in the form f + j*l and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2 = -10. Suppose 0 = x*c - 2*c + 12. What are the prime factors of (c\/2)\/(-3)*43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**3 + 907*d**2 + 13246*d + 12615. Give h(-287).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + 3 + sqrt(243) + 1 + sqrt(243) - -6*(1 + sqrt(243)))**2.\nAnswer: 1620*sqrt(3) + 19783","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1891149357 to the nearest integer?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/1898320 and -9\/12448.\nAnswer: 3796640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2981293691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -8) + (718 - 656)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k. Let p be u(-1). Solve 2*s = 6, -2*i - p = 3*i + 2*s for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k**2 - 150*k + 1276. Calculate b(8).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 3:41 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 minutes after 12:24 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 24*q - 2. Let t(b) = b**3 - 5*b**2 + 3*b - 1. Let v be t(4). Let l(d) = 2*d**2 + 9*d + 11. What is the remainder when o(2) is divided by l(v)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 12:33 PM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522 = 5*g - 2*s - 753, -s = -2*g + 510. What is the least common multiple of 477 and g?\nAnswer: 40545","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or -64272\/37?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -6. Let t = a - -30. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.16743 rounded to 1 dp?\nAnswer: 67.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 72 in -2\/15, -11, 2\/7, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -650*a + 642*a + 14680 = 0. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, y: 1, j: 1, b: 4, n: 2}. What is prob of picking 1 j and 2 b?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at least as big as 0.23021176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 2*r = 2, -4*g + 7*r + 9 = 8 + 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -h**2 - 32. Let q(f) = 7*f. Calculate q(d(s)).\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396 = -167*z + 178*z. Put -5, -1, z in ascending order.\nAnswer: z, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12149 (base 12) to base 15\nAnswer: -7363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a**4\/2 - 33523*a**3\/2 - 280897591*a**2\/2 + 842994507*a\/2 = 0 for a.\nAnswer: -16763, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1 - (-2 - -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h - 74. Let n be l(25). Let j(i) = -1. Let g(u) = 3*u**2 + 1. What is n*g(f) + 3*j(f)?\nAnswer: 3*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -2*b - 7 + 1\/4*b**4 + b**2 + 4\/3*b**3. What is j(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, p: 2, z: 1, d: 1, q: 1, y: 1}. What is prob of picking 1 m and 2 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(-2)*(-4)\/6. Suppose b = 2*b - s. Let a be ((-3)\/15)\/((-1)\/(-3)). What is the smallest value in 0, a, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -323 + 491. Let w = r + -103. Suppose -5 - w = -p. Calculate the highest common divisor of p and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2088925 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14270896*p**2*w**3 + 137*p**2*w**2 + 15*p**2 - 47*p*w**2 - 4*w wrt w?\nAnswer: 85625376*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27309.\nAnswer: 3, 9103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvvuvvuv.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/22 and -47\/2004.\nAnswer: 22044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -4. Let s(g) be the second derivative of -2*g + 0 + 1\/2*g**3 - 1\/2*g**2. Determine s(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(833)*3 - sqrt(833) - sqrt(833))*-5 + (5*sqrt(85)\/(sqrt(35)\/(sqrt(700) + sqrt(7))))**2.\nAnswer: -35*sqrt(17) + 51429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2622*r + 37. What is m(0)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -10*s + 10. Let x = -2901 - -2922. Let r(j) = -3*j + 3. Determine x*r(o) - 6*u(o).\nAnswer: -3*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-195) + 28016\/1545.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 - 602 + 1766 - 594 - 228*i - 586 to the form j*i + z + r*i**3 + g*i**2 and give j.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(2 + 0 + -3). Suppose 0 = -2*i - 0*i + 2. Suppose -3*b = i - 4. What is the highest common factor of b and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 + 9*g)*((g**2 - 2*g**2 + 2*g**2)*(-2 - 2 + 2) - 1 + 1 + g**2 - 5*g**2 + 5*g**2 - g**2).\nAnswer: -18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1742915529?\nAnswer: 3, 64552427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-299)\/(-253))\/(7605\/117)?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -6 + (-23 - -52).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 58?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3971320, 3971325, 3971330, 3971335?\n\"Answer: 5*a + 3971315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, 5, -0.11, -0.1, 0?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2802032 is divided by 560277.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -104703*a + 6466*a**3 + 6*a**2 - 1 + 104825*a - 1108*a**3 wrt a.\nAnswer: 32148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3077932.\nAnswer: 2, 11, 13, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1426189\/5 - 284098. Which is smaller: h or 1140?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-17)\/(-3) + 4\/(-6). Let y(f) = -f**2 + 3*f - 4. Let j be y(3). Let r(c) = c**2 + 5*c + 6. Let v be r(j). Solve 0 = -n*s + 3 + v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 3*j**2 + 0*j + 0 + 0*j**3 + 1\/72*j**4 - 1\/180*j**5. Solve k(m) = 0 for m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2\/15 (b) -37 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/(-4) + 8\/(-4). Let f = 4 + 0. Which is the second smallest value? (a) t (b) 2\/13 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 160 - 165 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 990 by 198.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 8*f - 259. What is the second derivative of 34*n - f*n**4 + 102*n**4 - 36*n**4 wrt n?\nAnswer: 348*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17529.89 rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m - 52*m + 10605073. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4 (b) 422 (c) -35 (d) -1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3347, 28857, 98695, 235025, 460011, 795817, 1264607?\n\"Answer: 3694*s**3 - 348*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 - g - 1. Let d(n) = -2 + 0*n**2 - 2*n - 5*n**2 + 3*n**2 - 2*n**2. Determine -d(s) + 2*r(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2335*b**3 - 19*b**2 - 14849*b + 2 wrt b?\nAnswer: -14010*b - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 4:42 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-77)\/(-33))\/(((-2)\/(-3))\/2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2042 - 1951. Calculate the greatest common divisor of b and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 w when four letters picked without replacement from {w: 14, k: 5}?\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54975 + 5316 = 2887*v + 34925 + 2026 for v.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -5 + 137. Does 22 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 3:23 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 848*b - 1020*b - 1548 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 184783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6666499 or 6666500?\nAnswer: 6666499","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvhh when four letters picked without replacement from vvhh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence li when two letters picked without replacement from {i: 2, l: 11}.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1.23 times -2386.7\nAnswer: -2935.641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 150 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 361748, 723616, 1085484, 1447352?\n\"Answer: 361868*n - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-207)\/63 + -1)\/((-7)\/(5488\/(-48))).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 266 * -2065.\nAnswer: -549290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 x, and 2 f when four letters picked without replacement from {f: 2, h: 11, x: 2}?\nAnswer: 22\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 10*a**2 + 12*a - 26. Let r be l(9). Let u(j) = 2*j - 5. Calculate u(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215057 is divided by 295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.08 and 161.177.\nAnswer: 12.89416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2010011211 + 100002?\nAnswer: 2010111220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4795239 decades to millennia.\nAnswer: 0.004795239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 9*j + 4*j - j - 20*j - 9*j - 18*j**2 to p + m*j + f*j**2 and give f.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 159 - 168 - (-15 + 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1036 + -977. What is the highest common divisor of 3481 and j?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 times 4.72592\nAnswer: 56.71104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 8 = -4*a. Suppose -3*x + 5*c = 0, 0 = 3*x + a*c - c. Suppose -5*y = x, -v + 20 = 3*v + 2*y. Let j(h) = -h**3 + 4*h**2 + 6*h + 1. Give j(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-6 + -7) - (0 - -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - -10. Suppose o*s - 14 = s. Let w = 51 + s. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y + 3. Let k be i(0). Suppose -k*q = -3*v - 3, v - 6*v + 10 = 0. Is (88 - (-3)\/q)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22642054 (base 7) to base 9\nAnswer: -3667571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + -1 + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -31*f + 3. Suppose 216*j = 189*j - 54. Give w(j).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 13 (b) 5 (c) 0.3 (d) -0.5 (e) 4 (f) 11 (g) -3\/320\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -1788 and 20.8707.\nAnswer: -37316.8116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-10) + 33\/(-55). Let h(u) = -u + 2. Let c(g) = -1. Let z(f) = 5*c(f) + 3*h(f). Let k be z(q). Solve 9 = -5*v - 3*y - k, 2*v - 5*y = -30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2071385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 50 = -2*u. Let f = 0 - -14. What is the smallest common multiple of f and u?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*s - 5 = s, -35 = -3*i + s. Let t be (-75)\/i*(-1)\/(-10). Sort t, 0.4, -1\/5.\nAnswer: t, -1\/5, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01770255 rounded to 5 dps?\nAnswer: 0.0177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 12. Let f be g(-19). Let i(l) = -3*l**3 + l**2. Let d(u) = 10*u**3 - 4*u**2. What is f*i(c) + 2*d(c)?\nAnswer: -c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*v - 51, -5*x - 19 = -2*v - 13. Solve -7*n + 20*n - v = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (74\/(-4))\/((-5)\/10). Suppose -o = -c - 8. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u - 12. Is 6 a factor of a(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r + 1. Let a be v(2). Let k = -124 + 123. Sort k, a, 3 in decreasing order.\nAnswer: 3, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of 5\/42*s**4 - 1\/70*s**5 + 4\/7*s**2 - 8\/21*s**3 + 22*s + 0. What is t in n(t) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3701394 is divided by 168245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*n = -803 - 1304 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6772 - 6765. Is i <= 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -495057, -1980837, -4457145, -7923987, -12381369, -17829297, -24267777, -31696815?\n\"Answer: -u**3 - 495258*u**2 + u + 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -566 = 45*a + 468 - 494 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*h + 41*h = -4*x + 170, -5*h = -3*h - 97*x - 68 for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80212 + i - 80212.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16244050 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/(-18))\/((-180)\/144). Which is the second biggest value? (a) -0.5 (b) g (c) 1 (d) -0.109\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-145)\/(-20)*(162890\/10 - -3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.401862749824 take away 0.7?\nAnswer: 3.701862749824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -1, 78, 0.5 in descending order.\nAnswer: 78, 0.5, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10207 and 8142.\nAnswer: 1408566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + z = 7*n + 4, -3*n + 2*z - 8 = 0. What is the third biggest value in 2\/3, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*r + 3, 2*r - i = -5*i + 8. Let k = r + -8. What are the prime factors of (-58)\/(-2)*(7 + k)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96 and 3540312.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 9*k - 60 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690993988.\nAnswer: 2, 2633, 65609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + 0)*-3*-6. Let i = 13 - a. What is the units digit of (-28)\/i + (-2)\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2711 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + h**4)*(2*h + 2*h - 5*h) + (h**2 - 4*h**2 + 2*h**2)*(166*h**3 + 5*h**3 + 83*h**3).\nAnswer: -255*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/21)\/(25461\/(-2898))?\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3667965.49 + 3667851.4899886. Let k = h + 114. What is k rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1074, 7498, 18264, 33366, 52798?\nAnswer: 76554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-813*f + 1528*f - 862*f)*(2 - 5 + 1) - 1 - 1 - f + 0*f to the form d + j*f and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**1\/w))\/w*w**8*(w\/((w\/w**(-7\/5))\/w))**(-7\/12))**(44\/3) assuming w is positive.\nAnswer: w**(5434\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.9703464 centuries?\nAnswer: 1164.41568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 302 + -263. Suppose 3*m - 66 = r. What is the remainder when m is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j - 4*j**2 - 3*j + 1 + j**3 + 1. Let n(v) = -v + 11. Let t be n(6). Is z(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 906 and 14?\nAnswer: 6342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -103 + 114. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*a + 13843 + 711049. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 248506433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = -34*r + 247*r - 1320 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1639982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19536*c**5 - 2*c**3 - c**2 + 11229*c.\nAnswer: -1172160*c**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.8, -10, -4, -5, -4\/7, 1\/131?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**9*h)**(-41)*h**(-2\/31)\/h*h*h**(1\/21) assuming h is positive.\nAnswer: h**(-266921\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3829638542 plus -102?\nAnswer: 3829638440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f**3 - 9*f**2 + 2*f + 17. Let c be b(-3). Suppose c*y = 62*y + 1680. Does 40 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*g - 1086759 = -6093189. List the prime factors of g.\nAnswer: 3, 5, 11, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*o - 554 = -18*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*w**2 - 15*w**2 - 16*w**2 + 36*w**3.\nAnswer: 36*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q**3 + 3*q**3 - 3*q**2 + 4*q**4 + q**2 - 1 to n*q**3 + o*q**4 + d*q + s*q**2 + j and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-5)\/((-40)\/(-6)))\/((-189)\/(-1344))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**4 - 1 + 1)*(-4*k + 0*k + 2*k) - 20*k**5 + 15*k**5 - 34*k**5.\nAnswer: -41*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 36\/(-162) - 228\/27*-4?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/45 + 286\/270 and -121\/90.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjp. Give prob of sequence jp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16171702 + -3?\nAnswer: -16171705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -153 at most as big as -4\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 11*t + 11*t**2 - t - 22 + 2*t**2 + t**3. Let f be j(-12). Solve f*m - 2 = 3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4 = l, 5*a + 0*l - l = 4. Suppose -289*m + 283*m + 101058 = a. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4560 and 4290960.\nAnswer: 4290960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/27 in 213, 1, -13, -31?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88\/99*6\/(-40).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2223*h**3 + 2989*h**3 - 13662*h**3.\nAnswer: -8450*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gn when two letters picked without replacement from {g: 2, n: 2, t: 11}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 42616 = -4*r, 12498 = 5*r + 5*u - 40812. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -22 - -21 - (23 + -6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**2 + 85*h - 276. Calculate v(-28).\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-3129)\/9135 - (-2)\/30)*(12 + (-658)\/56)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-1*sqrt(117) + (sqrt(117) - -6*sqrt(117)*2) + sqrt(117))\/(sqrt(81)*-2 - (sqrt(9) - (sqrt(108) + -2*sqrt(108))\/sqrt(12))).\nAnswer: -5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 0 (c) 4 (d) 68 (e) -2\/13 (f) -75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 273 - 0?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7*v - 2. Determine t(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*v - 2. Suppose v*k - 2*n = 3*k - 1, 5*n = 4*k - 30. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 126*m**3 - 36*m**2 + 36*m + 36. Let s(g) = -18*g**3 + 5*g**2 - 5*g - 5. What is 5*o(n) + 36*s(n)?\nAnswer: -18*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150493629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + 3*b**3 - 3*b**3 + 5 - 4 - b**2 + b. Let m be v(-2). Calculate the greatest common factor of m and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -49b - -91cb?\nAnswer: 8b30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 12:21 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23343 - -23513. Calculate the highest common factor of p and 710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*z + 2 - 2*z)*(z + z - 4*z)*(2 - 1 - 3).\nAnswer: 4*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8*(-3)\/24*-6. Let f(a) = -3*a - 3*a + 5*a + 3. What is the units digit of f(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 6256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 2597.792.\nAnswer: -259.7792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 + 109. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -115, 1 in increasing order.\nAnswer: -115, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4213185 divided by 9.\nAnswer: -1404395\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d - 24*d + 22*d + 35*d.\nAnswer: 33*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 4*l**2 + 13*l + 8. Let u be s(-6). Let c be ((-130)\/15)\/(u\/(-12)). Round c to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2173 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -5*a**3. Let d(v) = 14*v**3 - 5*v**3 - 8*v**3. Calculate -3*d(u) - m(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of -q**7\/42 - 11*q**4\/24 - 7*q**3\/3 + 1. Let j(g) be the third derivative of z(g). Differentiate j(x) wrt x.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1612458 and 5643603?\nAnswer: 11287206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 3, 1, 4\/3, 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -878*h - 143*h - 539*h + 4*h**2 + h**2 + 121680.\nAnswer: 5*(h - 156)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**2 + 150*x - 495 = 0.\nAnswer: -33, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117 + -101 + (-116)\/8.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15216175 to the power of 1\/2, to the nearest integer?\nAnswer: 3901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + g = 16, -g - 20 = 31587*x + 31581*x - 63171*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - 12*q**2 - 13*q + 7. Let j be i(13). Suppose 5*y + j = 2*w, -5*y - 21 - 4 = -5*w. Solve 0*c - w = -3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1149444 to the nearest integer?\nAnswer: 1072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.7 * 2340.\nAnswer: 3978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3. Let s be (-1 + 1)\/(12\/(-4)). Let n be v(s). Let c(f) = f + 16. List the prime factors of c(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30*19\/190)\/(39\/169).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-1477568.\nAnswer: 10342976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-127)\/(-762) - (3 + 333602\/12). Round p to the nearest 1000.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 0*m + 20. Suppose m*t = 17 - 1. Suppose -5*y - n + 30 = -2*n, -4*n - 6 = -y. Calculate the remainder when y is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 44 = -6*k. Let w be (-1)\/k - 194\/(-8). Let y(b) = b**3 - 2*b + 3. Let x be y(3). What is the greatest common factor of x and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 250, 77, -110, -317, -550, -815, -1118, -1465?\nAnswer: -1862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = z - 3*k - 2, -2 = 3*z + k. Suppose z = -2*y - 12 - 0. Let s = 0 - y. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 13*f**3 - 2*f**2 + 621*f + 6. Let c(p) = 3*p**3 + 3*p + 1. Determine -5*c(v) + t(v).\nAnswer: -2*v**3 - 2*v**2 + 606*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 83633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -26 - 24 - -11 - 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**3 - 3*a**2 - 4*a - 4. Suppose 2*i = z - 5, 5*z - 15 = 5*i - 0*z. What is f(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 2*o**2 - 2*o**2 - 5*o**3 + 2*o**2 + 5*o - 301251*o**4 + 301203*o**4 - o**3 to the form m*o**3 + b*o + a*o**2 + y*o**4 + k and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**3 + p. Let j be v(1). Let w be 9589\/5 - j\/(-20). Suppose -l - 2*l = 4*h - 1943, h + w = 3*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from tttssststtss.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, y: 1}. Give prob of sequence yyjj.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -260*(279\/(-30))\/((-18)\/(-15))?\nAnswer: 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 120 = -108. Let r be (-6)\/(-4) + 3\/6. Let i be (-3 + 1)\/((-2)\/4*1). Put d, i, r in ascending order.\nAnswer: r, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = m + 10, 81*m = 79*m + 10. Solve h*r = 2*u - 3, 2*r - 77 = 2*u - 79 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5715500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4358 less than -4013?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of 21*i**5\/20 - 6*i**2 - 4*i. Differentiate u(v) wrt v.\nAnswer: 63*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**4\/3 - 119*y**3 - 12782*y**2\/3 - 31440*y + 16800 = 0.\nAnswer: -20, -12, 1\/2, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 6) to base 15\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 + 6*w - 6*w - 2*w. Suppose 5*l = -2*m, 4*l - 33 = -0*m + 5*m. Let d(h) = 4*h**2 - 5*h. Determine m*s(c) + 2*d(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -1\/8 (c) -0.085 (d) 92\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000495271 to 6 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/175088 and -87\/1616.\nAnswer: 17683888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -27*b - 1547. List the prime factors of s(-87).\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 17. Solve 0 = -c*m + 3*f - 21, 0 = 5*f - 39 + 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (6\/12)\/((-5)\/(-30))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5 - -4 - 152*(0 + -2) is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + -1 + 1*2 + 14. Let v = 37 + s. Let r = 93 - v. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6.41 and -197141.\nAnswer: -197147.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 35*m**3 + 9015*m**2 - 22070*m + 7800 = 0.\nAnswer: -260, 3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -15. Suppose s + 0*s - 14 = l. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 12*d - 23. Let q be u(7). Let h = q - 64. Is 225 - (0 - (h - -1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.32 - 0.42. What is the third biggest value in 1\/12, 3\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -203? (a) 26 (b) -2\/13 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*o - 85*o = -61*o - 1022 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 34 = -5*x + 8, 3*x - 2*v = 22. Let g = 6 - x. Which is the closest to -1\/3? (a) 0.1 (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 541339682629 and 0.35.\nAnswer: 541339682629.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (-4)\/(-1))\/(-1). Suppose -o = g*o - 65. Calculate the remainder when 34 - (-3 + 0 + 0) is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 56 + -11 + 1\/1. Suppose 0 = -u*j + 14925 + 22933. What are the prime factors of j?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 a when two letters picked without replacement from {a: 1, z: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + (15 - 18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 5*l = 8. Which is the second biggest value? (a) l (b) 1 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -5, 1 in descending order.\nAnswer: 1, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - 1b?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-3))\/((-2)\/(-13) + 1328\/156)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -64 (b) 0.2 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 4*x - x, -4*x - 15 = s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2, -43 in increasing order.\nAnswer: -43, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w + 211. Let i be h(0). Let z = i - 207. Solve -z*v + 3 = -1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 9:41 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 155.0057 + -0.0057. Put l, 2, 0.1 in descending order.\nAnswer: l, 2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10 (b) -5 (c) -63\/5 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10889 + -10902. Which is the fourth smallest value? (a) 2 (b) -1\/2 (c) o (d) 1 (e) 2\/31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 3*t**2 - 27*t + 49. What is z(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-30 - 3) + 1516 + -1609\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107235.\nAnswer: 3, 5, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjj when three letters picked without replacement from {f: 1, j: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296\/(-104) + (4 - 1).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -250861*v. Let x(d) = 2*d. Calculate x(m(z)).\nAnswer: -501722*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -50.4, 9, 2\/5, -9, -7, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/192)\/((-1090)\/2616)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 6778106?\nAnswer: 33890530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145510525?\nAnswer: 5, 5820421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 305 - 302. Which is smaller: 0.09 or q?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 78 (b) -9\/5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 u when three letters picked without replacement from eqezqehqqbhuqqh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20017, 206, -28.\nAnswer: -20017, -28, 206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 812377?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 370471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.3 + 6. Suppose -2*o + o = -6. Let w be ((-2)\/(-3))\/((-10)\/o). Which is the nearest to w? (a) p (b) -2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 52*v = 53*v + 42, 0 = -p + 5*v + 28 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/11)\/(9\/2). Which is bigger: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 13343576 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6575 + 6574.61085. Let u = -0.325 + -0.065. Let s = u - h. Round s to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3783387 - -132296932?\nAnswer: 136080319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0684 - 21.9284. Round y to 1 decimal place.\nAnswer: -21.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5284178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + u - 13. What are the prime factors of k(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.061 minus -9469787651?\nAnswer: 9469787651.061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -125 + 93.5. Let z = a + 32. Let s = -0.49912 + z. Round s to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -131.46 and -5.\nAnswer: 657.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 703 (base 12) to base 9\nAnswer: 1343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2946079031\/65 + -45327400. Let o = h - -3107. Let t = o - -8\/13. Which is smaller: 5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 47*c**2 + 6919*c + 140119. What is h(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**0)\/h)\/h)**28\/(h\/(h*h**(2\/9))*h*h**(2\/7)\/h*h*h) assuming h is positive.\nAnswer: h**(-1894\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 147 divided by 200\nAnswer: 147\/200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 2\/7, -39?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15 and 0.8.\nAnswer: 15.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**5 - 15*o**4 - 24*o**3 - 12*o**2.\nAnswer: -3*o**2*(o + 1)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p + 1. Let j(n) = -n**3 + 10*n**2 + n - 11. Suppose -2*v + 20 = -0. Let k be j(v). Calculate x(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 77373, 77427, 77475, 77517, 77553?\n\"Answer: -3*s**2 + 63*s + 77313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1082199.\nAnswer: 3, 181, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -6. Solve 3*y - 4*y - b = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 8*k. Let q be 67 - -1 - (-1 + 0). Suppose q - 19 = 5*v. Calculate the smallest common multiple of v and x(-9).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121 - 117. Solve f*r + 14 = 2*z, r - 3 = -2*z + 6 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9645775*n**2 + 4818160*n**2 + 4827613*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/3*12\/8. Suppose b*a = -6 + 1. Let z(j) = -j. Let q(n) = -8*n - 1. Let p(g) = a*q(g) + 6*z(g). Give p(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.4351 - 0.1351. Which is the fourth biggest value? (a) 1 (b) -0.2 (c) q (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 divided by -3?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 13981?\nAnswer: 2\/13981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -7*u + 37. Let w be t(5). Is w < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -11*x - 169. Let w be i(-15). Let f be (-10)\/(-105) + (w - 564480328\/(-84)). Round f to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wtwbtbbrwvu. What is prob of sequence vrru?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 16) to base 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-28)\/(-20) + 0)\/(62\/(-310))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -7*r - 4, 86 = 4*d + 3*r. Solve d = -2*p + 27 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 136?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n - 1\/3*n**3 + 0*n**2 + 1\/6*n**4 + 0. Suppose p(x) = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 113800 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6772428 divided by 2257476?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111022002 (base 3) to base 5.\nAnswer: 302240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 1)*(-2*g**2 + 546260*g**3 - 1 - 546259*g**3 + 3691*g + 3) in the form r*g**3 + p*g**2 + w*g + j and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15*f**2*y**2 - 2652*f**2 with respect to y.\nAnswer: -30*f**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -0.6, -0.7, 5, 15?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.261 * -0.0205\nAnswer: -0.0053505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (79\/210 - (-326)\/(-815))\/(48\/36)?\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/5 of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 421 + -421. Solve 0*w**2 - 1\/2*w**3 + y + 0*w + 3\/2*w**4 = 0 for w.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 2:38 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 9*f**2 - 10*f + 26. Calculate b(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**2 + 5*i + 5. Suppose z + 14 = 4. Let m = -18 + 24. Let t(v) = -v**2 + 3*v + 3. Determine m*j(g) + z*t(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.04 - -2. Let m = 0.44 + b. Sort -0.5, m, -1 in decreasing order.\nAnswer: m, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -114? (a) -105 (b) 1\/3 (c) 14 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**3 + 4*p**2 + 9*p. Let m(f) = 3*f**3 + 3*f**2 + 8*f. Let o(g) = 6*g + 24. Let c be o(-3). Suppose c*l = -24 - 6. Give l*n(a) + 6*m(a).\nAnswer: -2*a**3 - 2*a**2 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h + 0*h + 3514*h**3 - 5*h.\nAnswer: 3514*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 4) + -10 - -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -2, 1, 3, 27, 5 in increasing order.\nAnswer: -2, 1, 3, 5, 16, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -676 + 675.5. Let i = 0.15 + -0.19. Put i, -3, g in descending order.\nAnswer: i, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w**3\/3 - 7*w**2\/2 + 3*w + 55. Suppose -5*r + 11 = 4*y, -y = -2*r + r - 5. Determine i(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Suppose -t + 2*m = 8, -3*m + q*m + 12 = t. Let k(i) = -4 + 5 + i**2 - 4*i + t. Determine k(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3745694779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 1480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -4, 2, -1.\nAnswer: -4, -1, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c. Let g(p) = 2*p - 3. Let u(y) = -3*y + 5. Let q = 18 - 28. Let i(l) = q*g(l) - 6*u(l). Calculate i(z(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 15*k + 0*k)*(1 + 1 - 4 + (-2 + 0 + 1)*(1 - 5 + 1) + 37 - 10 - 16).\nAnswer: 180*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05338188 to five decimal places.\nAnswer: -0.05338","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.4 and -20.2.\nAnswer: -18.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 2:13 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -143 - -306. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 20 = 84. Calculate the remainder when h is divided by (-3)\/(1*(-2)\/6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, g: 7}. What is prob of picking 4 g?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6038 - 199205\/33. What is the common denominator of 5\/72 and o?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1235b5 (base 15) in base 6?\nAnswer: 30405125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.0428, 5.\nAnswer: -0.0428, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-45)*-3)\/(-1)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 43 - (-14)\/7. Suppose 0 = -k*w + 44*w + 32. Solve -w = 7*y - 3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, j: 1, o: 2, g: 2, u: 1, d: 1}. Give prob of sequence od.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 109609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2. Let t(i) be the third derivative of 7*i**6\/360 - 8*i**3\/3 + 15*i**2. Let a(r) be the first derivative of t(r). What is l(a(v))?\nAnswer: -98*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 22142 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119566 is divided by 39850.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-1) + 4\/(-5) + (-6171)\/1155. What is the closest to -3 in 0.1, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71981096107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21133 + 300221?\nAnswer: 322020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236343 divided by 586.\nAnswer: 236343\/586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-234)\/(-105) + -2 - (-64)\/(-80). What is the fourth smallest value in 0.5, b, 4\/9, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 22?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 4. Let f be i(0). Suppose 0 + 4 = a, f*y - 44 = -5*a. Let n = 6 - y. Solve n*z = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(128) - (sqrt(128) + 2*sqrt(128) + sqrt(128))*-5)**2.\nAnswer: 56449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 10, -3*a - 2*f - 14829 = f. Let w = a + 73987\/15. What is the common denominator of w and -11\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 8:58 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3558, 3766, 3974, 4182?\n\"Answer: 208*d + 3350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 3*m - 178, -2*k - 33*m - 1716 + 3886 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (20\/15)\/(1\/6). Suppose 3*b - 5*q = -q + f, -b - 8 = 4*q. Solve b = -4*m + 9 - 21 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43633511?\nAnswer: 641, 68071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v. Let x(b) = b - 5. Let g = 1 - -6. Let i be x(g). Let c(z) = 5*z**2 + 0*z**2 + 4*z**2 - 8*z**i. Calculate c(f(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 2, 5, -5, 41 in descending order.\nAnswer: 41, 5, 4, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 12 = 6*a - 3*g, -5*g = -3*a + 9. Suppose -5*k + z = -17, -a*k + 3 = -2*z + 5*z. Solve 0 = k*y + 1 + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**2 + 0*m**2 - 4*m**2 + (-3*m - 2*m + 3*m)*(0 - 2*m + 0) - 2*m**2 + 6*m**2 - 10*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 8, -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbbbbtkrt. What is prob of sequence tbrk?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o**4\/4 - o**2\/2 + 7*o + 3. Suppose -4*g + 2*g - 5*h + 10 = 0, 2*g - 5*h + 10 = 0. What is the units digit of u(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 7\/11439?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 142589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-105)\/75 - (-1)\/1. Let y = 6123 + -6150.93. Let h = -28 - y. Which is the second smallest value? (a) 5 (b) h (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.65*1.504\nAnswer: 0.9776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (2 - 0 - 0 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 15233 - 22233 = 0. List the prime factors of m.\nAnswer: 2, 11, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -79569.\nAnswer: 1\/26523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 36095765837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-5\/3)\/((l\/(l**(-3\/4)\/l))\/l) assuming l is positive.\nAnswer: l**(-41\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-19750)\/4806 + ((-36)\/3)\/6. Let u = d - 4\/2403. Calculate the common denominator of u and (-1)\/(-4) + 723\/(-36).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1276550 - 808573. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 6 = -2*c. Suppose -3*o = 6*a - 3*a - 33, -o - 4 = -4*a. Let h = o + c. Solve j + 2*z - 1 = 0, -7 - h = j - 5*z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123434 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**4 - 63*v**3 - 489*v**2 - 1665*v - 2100.\nAnswer: -3*(v + 4)*(v + 5)**2*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300689822?\nAnswer: 2, 150344911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 1.3?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -133628422\nAnswer: -26725684.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*v = 55*v + 75*v. Solve v = -11*l + 98 - 43 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7632400 to the nearest one hundred thousand.\nAnswer: -7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 4*s**2 + 24. Let u(t) = -9*t. What is u(w(v))?\nAnswer: -72*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246788 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7712010 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-45)\/(-3))\/(-3))\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 185209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r, -p + 5*r = 8 - 28. Solve -3*m + p = -8*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 9:01 AM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -15*o. Let q be p(-1). Calculate the greatest common factor of 120 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/12582 and -157\/1656.\nAnswer: 1157544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 441 divide 2053144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -s - 8, 5*r + 13 = 9*r - 3*s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -2*v - d, v - 6*v + 2*d = -35. Suppose 2*b = -0*h + 2*h + 2, h = 5*b - 9. Suppose 7 = b*k - 1. Calculate the smallest common multiple of v and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761203 >= 1761203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 4. Let h(m) = 1. Let a(z) = 4*h(z) - q(z). Let g be a(6). Solve -4*v + 3 = -4*x + 19, g*v + 15 = -5*x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 473410*y**4 - 985253.\nAnswer: 1893640*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -17919487?\nAnswer: 17919489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010 (base 2) in base 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (186341\/5)\/(144\/(-870)). Let r = 688010\/3 + j. Let o = -4169 + r. Calculate the common denominator of 28\/11 and o.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -893966, -893973, -893990, -894023, -894078, -894161, -894278, -894435?\nAnswer: -894638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*w + 4*w + 4*w**2 - 12*w**3 + 22*w**3 wrt w.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*v = -79*v - 4, -4*n + 16740 = 4*v. List the prime factors of n.\nAnswer: 37, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10133 (base 4) to base 2.\nAnswer: 100011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 - -0.35. Let k = 5 - -8. Let y = k - 15. Sort o, 3, y in increasing order.\nAnswer: y, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - p + 12 = -11, -2*i - 26 = -4*p. Is 11 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*r**4 - 13539*r**3 - 216204 wrt r.\nAnswer: 28*r**3 - 40617*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*b + 251*b - 84*b - 81*b - 388*b**2 in the form g*b**2 + a + f*b and give g.\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/3*(-299999640)\/10. Suppose -2*v - 5*x = -1473563 - 2526452, 5*v = 4*x + f. What is v rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 1\/3, -33615, 58, 0.1.\nAnswer: -33615, -2, -1, 0.1, 1\/3, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j - 53445 = -223769. Is j a multiple of 158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and -13977006222.071.\nAnswer: -13977006221.571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 38. Suppose 0 = -4*x - y*o + 20, 3*x - o = 3*o - 10. Suppose -g = -x*g + 4*l - 16, 0 = 4*l - 20. Solve 7*d - 4*d + 18 = -3*q, g*d + 8 = 4*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, l: 2, h: 4, b: 3}. What is prob of sequence bllo?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17509271, -17509299, -17509327?\n\"Answer: -28*z - 17509243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 82793 and 0.5.\nAnswer: 82793.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2243 times 1.1?\nAnswer: 2467.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 12 = -3*r, -4*r - 6*w + 35 = -w for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 111*o**2\/2 - 36*o - 139. Differentiate a(l) wrt l.\nAnswer: 111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -677 by -1.\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from qnvkvrkc.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6783*d**2 + 353*d - 1. What is the ten thousands digit of m(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29427 and 39?\nAnswer: 382551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2461139 - 2461203 = 23*t + h, 4*t = 5*h - 37 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 - 14 = 3*f. Suppose 2*v = 6, 7*c = f*c + 3*v - 9. Let x = 9 - 6. Solve -4*j + 3*j - x = c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - (3 + -36)) + -2 + 1. Suppose 5*j = s + 112. Suppose 7*p + 0*p - j = 0. Solve 5*q + 10 = 5*c, 0*q - p = -c + 3*q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, a: 1, r: 3, v: 2, p: 2, l: 2}. Give prob of sequence lr.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 5:49 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4527059 is divided by 198.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 15, 1289, 5.\nAnswer: -7, 3, 5, 15, 1289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18086 is divided by 6026.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 minus -1.48453612?\nAnswer: 66.48453612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 615.3997t in grams?\nAnswer: 615399700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 142*c**2 - 6*c - 2. Let s(m) = 348*m. Determine q(s(f)).\nAnswer: 17196768*f**2 - 2088*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.09 - -0.09. What is the closest to 0.1 in 0.5, -0.2, -24, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321941.\nAnswer: 43, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 - 68 + 33*k**2 - 27*k**2 + 20030*k - 20026*k as a*k**3 + x*k**2 + i + l*k and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*w - 1389 = 0, 926 = -0*n + 2*n - 3*w. Suppose 5*b + n = 3*f, -4*f + 659 = -5*b + 40. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50 - 27) + 1 + -16.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/(26*(-147)\/48412)?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-201696)\/(-6876))\/(16\/(-42))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3456)\/252)\/((-54)\/(-126))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -4. Suppose 3 = 3*y - 3. What is the remainder when y is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiatiteaitiaaaiai. What is prob of sequence eit?\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*2*(630\/1596)\/15?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 2*r + 2, -4*v - 6 = -2*r + 10. Let t = -20296 + 20334. Which is smaller: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 4)*(26*d**2 + d**2 + 9*d**2) to q*d + t + g*d**2 and give g.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 3*h**2 - 2*h + 7. Let f be c(-4). Let u be (27 - 25)*((-2)\/4 - f). Solve -4*y = w - 3, -3*w + 3*y = -8 - u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31114 - 22?\nAnswer: -31141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6056835 and 61779717.\nAnswer: 308898585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/((-15)\/10 - 0\/(-4)). Let f be (-60)\/20 - (-1)\/(k\/578). Calculate the greatest common factor of f and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 6:16 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -3068176.7 to the nearest one thousand.\nAnswer: -3068000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 + -5060281577948?\nAnswer: -5060281577947.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 5. Let w be (-150)\/9 + 4\/l. Let b = w - -28. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) - 6*(sqrt(72) + -1*sqrt(72))) + sqrt(72))\/sqrt(6))\/(sqrt(44)\/(-2*sqrt(11)) - sqrt(4) - (sqrt(80)\/sqrt(4))\/sqrt(5)).\nAnswer: -4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/27 - 35\/(-45)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6754693, 6754680, 6754661, 6754636, 6754605, 6754568?\n\"Answer: -3*b**2 - 4*b + 6754700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 48 = n. Let r be 3\/(n\/(-10))*-4. Suppose -r*y - 4*l + 41 = 11, -25 = -y + 3*l. Let c(d) = d**3 - 11*d**2 + 11*d - 5. What is c(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 11:03 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 341844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 362.5 times -75\nAnswer: -27187.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 - 6*l**2 + 8*l - 84. What are the prime factors of y(10)?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 167 = 2*j, -5*j + 51 = -2*l + 1. Let h(t) = -2030 + 672 + 673 + 685 + 45*t. Let z(a) = 5*a. Calculate l*z(x) + 4*h(x).\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1267, -1266, -1265, -1264?\nAnswer: -1263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 + -47. Let f be 8*(-1)\/15*35\/14. What is the nearest to 0.1 in -2, f, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(76)*-4)**2*4 - (-2 + (sqrt(76) + 5*1*sqrt(76))**2).\nAnswer: 2127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3250672ng to tonnes.\nAnswer: 0.0000000000000003250672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 817430 + 817419 + 817422 - 3269699 + 817428 - 3*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353632786.\nAnswer: 2, 13, 29, 469009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 + 69. Let k be 4\/(-1) - (0 - w). Solve k*m - 2*n - 22 = 0, 0 = 3*m - n + 4*n - 12 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -67 in 4, -5, -4, -30, -0.15?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmqbhbbbbqbq. What is prob of picking 2 m and 1 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(-1))\/c)**(13\/6)\/(((c*c\/c**8*c)\/c)\/(c\/c**(-6\/5)*c)) assuming c is positive.\nAnswer: c**(203\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/sqrt(4)*-5 - (sqrt(5)*1 + 1).\nAnswer: -6*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*k + 5*r + 13 = -184*k, 4*k + 11 = -3*r for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*r + 8. Let y be (r\/(-5))\/(6\/(-260)). Let u = y - 295\/6. What is the common denominator of u and -47\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11620864 at least 12\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70316, -140566, -210818, -281072, -351328?\nAnswer: -421586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 35*i**3 - 29*i**2 - 7*i - 7. Let k(m) = 18*m**3 - 14*m**2 - 3*m - 3. Let f(t) = 7*k(t) - 3*l(t). What is the third derivative of f(y) wrt y?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -1\/3*s**3 + 0 - 4*s**2 + 0*s - 1\/24*s**4 - 1\/6*s**5 - 1\/120*s**6. What is the units digit of v(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/120)\/((-16)\/(-1940)) - (-70)\/(-21)?\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 674*n*r*w**3 - 7*n*r*w**2 + n*r + 22*n*w**3 - 2*r*w**3 - 366*r*w**2 + 2*w**3 wrt w?\nAnswer: 4044*n*r + 132*n - 12*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3634*a + 3638*a - 4. What is the fourth smallest value in 0.4, -4\/19, a, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65206 = 3*x + 2*w + 8476, 0 = -3*x + 4*w + 56784. What are the prime factors of x?\nAnswer: 2, 4729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-30))\/((-735)\/(-490) + 469\/(-318))?\nAnswer: -53\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b*q**4 - 29*b*q**2 - 6*b*q + 30*q wrt q.\nAnswer: 24*b*q**2 - 58*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 19. Let i = -0.13851 + 0.05851. Is k greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.25 and -2780646?\nAnswer: -695161.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 290 - 289. Let a be (p + -6 + (-36 - -41))\/3. Find c such that 0 - 2\/3*c**3 + a*c + 0*c**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1335 - 0.1435. Let z(f) = f**2 + 6*f + 3. Let o = -2 - 2. Let v be z(o). What is the third smallest value in -1, x, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mwinmimnmmnqmq.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4260, -8525, -12788, -17043, -21284?\nAnswer: -25505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.2 (b) -1 (c) 104433\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 7*o - 9*o + 3*o - 5 + o**2 + 0*o**2. Let i be s(2). Put 4, -1, i in descending order.\nAnswer: 4, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4642123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.32 - -6. Let t = m + -0.68000054. Round t to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -92916, -185827, -278736, -371643?\n\"Answer: t**2 - 92914*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (91 - 18) + 79 + -180.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5348*f**2*i*j**2 - 36*f**2*i*j - f**2*j**2 + 2*f*i*j**2 + 1283*f*i*j wrt j?\nAnswer: 10696*f**2*i - 2*f**2 + 4*f*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -13 in increasing order.\nAnswer: -13, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 47701439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -11 + 6 - (-51 + 0) - (-102 - -97).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15550747 divided by -3.\nAnswer: -15550747\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13\/6 + 73\/42. Let o be 16\/6*2\/(-24). Which is the closest to -1? (a) w (b) 5\/2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.985259 months to years.\nAnswer: 0.16543825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - c + 4*r + 4 = 0, -3*r - 5 = c. What is the common denominator of (324\/51)\/4*c - 1 and 412\/(-18)*(-3)\/4?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21625522 rounded to the nearest 1000000?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-14))\/(135\/378)*(-63)\/9\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 1712, -239, 1\/6 in increasing order.\nAnswer: -239, -1\/4, 1\/6, 1712","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -7 + 2 + 0 + 4 + 5*h. Let v(b) = 1. Let w(q) = d(q) + 3*v(q). Find the first derivative of w(n) wrt n.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j*u**4 - 287*j*u**2 + 110*j*u + 1 wrt u.\nAnswer: 12*j*u**2 - 574*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 0*q + 10. Suppose -6*r = -5*r + 2. Let i be (-14)\/(-4) + 1\/r. Solve 8*f + o = i*f - 7, -f + q*o + 9 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**5\/20 - 32*f**2 + 2. Let n(t) = 42*t**2. Give n(v(o)).\nAnswer: 378*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.6 + 6.3. Round r to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -41. Let w = -21 + r. Which is greater: w or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -26. Which is the nearest to 3? (a) 2\/5 (b) n (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85917 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3 + -1. Let q be (-87)\/(-174) + (21\/2)\/3. Which is the second smallest value? (a) q (b) -2\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1082612 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -636480.5933003\nAnswer: 636472.5933003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 20 = 5*a, 0 = 4*a - 5*x - 45 - 4. Let d(o) be the second derivative of -o**5\/20 + 7*o**4\/12 - 2*o**3\/3 - 5*o**2\/2 - 2*o. Calculate d(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.106584894 to 4 decimal places.\nAnswer: -3.1066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-110)\/44)\/((455\/(-42))\/13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 + 0*p**3 - p**3 - 334*p + 129*p + 109*p + 175*p as n*p**3 + u*p + y*p**2 + r and give u.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**2 + 405*t + 24360. Calculate w(-45).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -72656077, -72656066, -72656055, -72656044, -72656033, -72656022?\n\"Answer: 11*p - 72656088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-2\/9))**27\/(x**3)**44 assuming x is positive.\nAnswer: x**(-99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.42039 rounded to 1 dp?\nAnswer: 16.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 23d8a (base 15) to base 16\nAnswer: 1befe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5064 divided by -3.\nAnswer: -1688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1850128980 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 54431 (base 16) in base 2?\nAnswer: 1010100010000110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -415494*p**2 - 90*p + 135. Let b(a) = -18886*a**2 - 4*a + 6. What is 45*b(z) - 2*o(z)?\nAnswer: -18882*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -231*-0.2.\nAnswer: 46.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16336 is divided by 1635.\nAnswer: 1621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 3 - -2)*(2 + 3). Suppose -p*a = -4*o, a = 4*o + 2*a. Solve 4*t + 0 - 14 = -3*r, o = 3*t + 2*r - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -9*c - 1. What is f(6)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -9*k + 7*k - k + 4*k. Let n(l) be the third derivative of -l**6\/360 + l**3\/6 + l**2. Let z(c) be the first derivative of n(c). Determine f(z(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + g + 3. Let v(y) = 11*y**2 + 2*y + 21. Give 5*o(f) - v(f).\nAnswer: -6*f**2 + 3*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f**2 + 426*f - 612. Calculate y(105).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 10 = 0, -2*c = -0*c + 4*h. Suppose -c*d - 4*j + 65 = j, 4*d + j - 45 = 0. Calculate the least common multiple of 6 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 + -65. Solve -2*l + 5*f - 26 = 0, 5*f - 22 = -r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 2611*r - 16 = 2615*r, 3*o = -r + 16 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 9:14 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1432599 and 525?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 1.2103985 times -0.1?\nAnswer: -0.12103985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-542)\/271*4\/160\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15814396\/126289 - -86205141761\/723635970. Let q = -1312\/573 - y. Let f = 5\/47 - q. Calculate the common denominator of f and -69\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49078 divided by 926.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1939 - 1351. Suppose -3*z + 396 + g = 0. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.29 and 256329626.47.\nAnswer: 256329626.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25.3 - 25. Let p be ((-60)\/(-16) - 3) + 0. Sort -3, p, d, -4 in ascending order.\nAnswer: -4, -3, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) -0.86 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(4\/5)\/q**(1\/4)*q**0*q*q\/q**(-1\/3)*q assuming q is positive.\nAnswer: q**(233\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, 2, -1, -0.15, 0.3.\nAnswer: -1, -0.15, -2\/15, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*a + 9*a**3 - 1 - 3*a**2 - 19*a**2 + 15*a**2 + a**3 wrt a?\nAnswer: 60*a - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*c**2 + 39*c**2 + 46*c**2 - 160*c**2.\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/(15*(-7)\/175).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11\/((-44)\/(-6656)) - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.01317 micrograms in milligrams?\nAnswer: 0.05701317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126*24.\nAnswer: -3024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -5, -21, -320, -3, 50 in decreasing order.\nAnswer: 50, -3, -5, -20, -21, -320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/((-153)\/108))\/(((-5)\/(-3))\/(520\/312))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (228\/(-5016))\/(1\/196).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j, 19 + 21 = 5*w + 4*j. Suppose -50*h = -15*h - 47320. Is w - h\/(-24) - 1\/3 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -10. Let u(t) = -t**2 + 10 - 1 + 3*t - t + n*t. Give u(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3600 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17939*t + 4 + 18158*t - 4)*(-3 + 1 - 1)*(3*t**2 + 2*t**3 - 3*t**2).\nAnswer: -1314*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -5*u**7\/42 + 83*u**6\/60 - 183*u**5\/40 - 35*u**4\/24 + 301*u**3\/12 + 15*u**2 - 4223*u. Determine g so that w(g) = 0.\nAnswer: -1, -1\/5, 5\/2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 774.2 rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 219837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83671, 83669, 83667, 83665?\nAnswer: 83663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -6. Let b = q + 18. Let o = 18 - b. What is the nearest to 2\/9 in o, -1\/7, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4\/2 + 62355*u**3\/2 - 187083*u**2\/2 + 187089*u\/2 - 31182.\nAnswer: 3*(u - 1)**3*(u + 20788)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 384800*a**2 - 228752*a**2 + 534888*a**2 + 213816*a**2.\nAnswer: 904752*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -35*r - 5 + 20*r + 20*r. Let k be p(7). Calculate the greatest common divisor of k and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuueuuu. What is prob of picking 3 u?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**6\/195 - g**4\/26 + 2*g**3\/39 - 10*g. Let q(w) = 0. What is w?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0245626 rounded to 4 dps?\nAnswer: 0.0246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r**2. Let v(b) = -87604*b - 399. What is v(x(i))?\nAnswer: -613228*i**2 - 399","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 12:29 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1032 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b3c6c + 0?\nAnswer: -4b3c6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.8*-3.\nAnswer: 29.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/3 + (-85238)\/654. Is -132 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(44) - (sqrt(2156) - 1*sqrt(2156)))*-2)\/(4*sqrt(20)\/(1*sqrt(180))))**2.\nAnswer: 2475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -926037*t**3 - 696560*t**2 wrt t.\nAnswer: -5556222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 214\/60 - 3\/(10 - 4).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28404576 is divided by 499?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(-1) - (6 + -3). Suppose p = -p - 3*t - 2, k*p = -4*t. Let 10\/3*b**p + 8\/3*b**4 + 22\/3*b**3 - 4\/3*b + 0 = 0. What is b?\nAnswer: -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 4*m - 3*u - 49, 2*u + 26 = 2*m. Let d = m - 10. Suppose 0 = -3*t - 5*y + 160, 3*t + y = -d*y + 164. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5917*i - 40783 = 3362*i - 2637*i - 333031 for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(63\/(-2)))\/(3268\/(-4902))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 44*p**3 - 2801*p**2 - 935*p - 1603. Give v(64).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(2\/9)*b*b)**28)**(17\/5)\/(b\/(b\/b**(-12))*b*b**9)**25 assuming b is positive.\nAnswer: b**(18434\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3404\/(-230))\/(-1*10\/(-2)*(-286)\/(-7150)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 104173 (base 8) to base 9\nAnswer: 52831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 58533?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - 37. Let n(w) = -3 - w**2 - 5*w**2 - 3 - w**3. What is n(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27298.2 decades in years?\nAnswer: 272982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577 = -51*a - 679 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 8*s**2 + 13*s - 3. Let w be j(6). Suppose 145 = 2*r + w*r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -131709, -263418, -395127, -526836?\n\"Answer: -131709*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -13142450.52 to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 8. Let w = u + -7. Suppose -w*b + 90 = 34. Calculate the smallest common multiple of b and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2595 or 2596?\nAnswer: 2596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.57637 millilitres to litres.\nAnswer: 0.08357637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -24. Let p be -3*(b\/9 - -2). Let a = -1 + p. Are 3\/8 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 3 + 6*sqrt(45)*-5.\nAnswer: -90*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3\/4 + 57*h**2\/2 + 1083*h\/4 + 483\/2.\nAnswer: -3*(h - 46)*(h + 1)*(h + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 32295754 to the power of 1\/2, to the nearest integer?\nAnswer: 5683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -16. Factor 9*x**3 + 17*x**3 - 32*x**v - 6*x + 15*x**2.\nAnswer: -3*x*(x - 2)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2\/3 + 49275121*q\/3 = 0. Calculate q.\nAnswer: -49275121, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 5, p: 3, q: 4, o: 1}. What is prob of sequence qm?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 x when four letters picked without replacement from {l: 5, x: 5, p: 8}?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 2*z + 0*z**2 - 4 - 8*z - 1. Let q be b(-4). Suppose q + 30 = l. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -21. Let c = p + 10. What is the second biggest value in -2, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (59087\/(-88550) - 8\/(-11))\/((-60)\/(-25))?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5983 - 5986.4. Is r < 0.24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1283*d - 3*d**2 + 2842*d - 1339*d + (2*d + 3 - 3)*(4 + d - 4).\nAnswer: -d**2 + 220*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 487*z**2 + 3856*z - 11503. Calculate o(479).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2, -7\/4, 5?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -6*i. Suppose 2 = -5*v + w + 30, -v + w + 8 = i. Find the second derivative of 0*y**5 + 7*y**v + 0*y**5 - 5*y - 4*y**5 wrt y.\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xja when three letters picked without replacement from awwxjgggg?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/3*(-1)\/((-1)\/2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17.275 and 3.25.\nAnswer: 56.14375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.8 - 1.8. Let u = 1494\/11 - 136. Sort u, m, 0.\nAnswer: u, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001331 rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-4))\/((-4)\/((-112)\/(-21))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -86\/33663 and -37\/168.\nAnswer: 269304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2 + 2*g + 5. Let n(w) be the first derivative of -2*w**3\/3 - w**2\/2 - 3*w + 1168. Determine -6*d(x) - 10*n(x).\nAnswer: 2*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14036*y + 14036*y - 24146*y**3.\nAnswer: -24146*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(-11))\/i*i**(5\/3) assuming i is positive.\nAnswer: i**(-25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 63 and 567.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 + ((-2)\/2)\/1. Let b(n) = -5*n**2 - 2*n**2 + 3 - 3*n + 4*n**2 - 257*n**3 - n**2 + 258*n**3. Determine b(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*sqrt(130)*-2)\/sqrt(10).\nAnswer: -18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/18 + 8\/(-3). Let w = 6 - f. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + n = 5*r - 4993, -5*n - 3307 = -2*r. What are the prime factors of r?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2675 is divided by 103.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -55406 less than or equal to -55397?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**7\/21 + h**3\/2 - 3*h. Find the second derivative of w(y) wrt y.\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 12. Let l = -38 + 50. Calculate the least common multiple of y and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 139 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -606 - a + 280 - 13*a**3 + 47 + 279.\nAnswer: -13*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79 - -93756. What are the prime factors of q?\nAnswer: 5, 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57448 less than 4?\nAnswer: -57444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 5*r - 125 = 0. Let f = -13366 + 13345. Does 3 divide ((-2)\/6)\/(5\/r)*f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one halves of a litre?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32743273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 - 49. Let m = 30\/7 + -3951\/917. Let u = 372\/917 - m. What is the second biggest value in u, -3\/5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 + -169\/2. Let n = -90 + 85. Which is the nearest to y? (a) -0.1 (b) n (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 + 14*p - 9. List the prime factors of g(-7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 i, and 1 o when three letters picked without replacement from oojiu.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/(-88)*2\/10.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - (-1 + 398917\/(-20814)). Let r = 3\/3469 + l. Calculate the common denominator of -39\/10 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32668 + 10514 = -272*j + 63*j for j.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-93135)\/149016*-1*1.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 n when four letters picked without replacement from ggiggnggiiign?\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7421 is divided by 232.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 173.9947 + -174. Round t to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of -d**5\/210 + 5*d**4\/84 - 4*d**3\/21 + d**2. Factor i(b).\nAnswer: -2*(b - 4)*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254\/82825 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + k - 616 - 479 = 0, 657 = 3*l + 4*k. Is 27 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 0*g + 5. Suppose -18 - 2 = -g*j. Suppose 5*q - j*n = -0*q + 21, n - 1 = -5*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + (-21 - -13) - 29 - -44\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 2. Let k be n(-1). Suppose 7*s = 2*x + 2*s - 13, -6 = 3*x + s. Sort k, -2, x.\nAnswer: -2, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -0*h + 4*h + 4*y, 0 = -5*h + y - 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 402701129*l**3*t**2 + 2*l**2*t + 813018*l*t**2 wrt l.\nAnswer: 2416206774*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o. Let i be (477\/265)\/((-12)\/(-5)). Let p(h) be the third derivative of -h**2 - i*h**4 + 0*h + 0*h**3 + 0. Give p(r(w)).\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8 and -85.977?\nAnswer: 687.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -3.91. Let a = b - -0.14. Let i(n) = 2*n**3 + 26*n**2 + 27*n + 35. Let f be i(-12). Sort -2, f, a.\nAnswer: -2, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33521011 + 3?\nAnswer: 33521014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (215\/10)\/43*26.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4610, -4621, -4646, -4691, -4762, -4865, -5006, -5191?\n\"Answer: -a**3 - a**2 - a - 4607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -106*r**3 - r**2 + 6. Let p(g) = -g**3 - 2*g**2 + 3*g - 2. Let m be p(-3). Does 10 divide z(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12.7 + 94685158\nAnswer: 94685170.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8360836, -8360835, -8360834, -8360833?\n\"Answer: c - 8360837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -9, 2*y + 4*p = 3*y + 10. What is v in -2*v - 10*v**y - 39*v - 16*v - 36*v - 40 + 8*v = 0?\nAnswer: -8, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.0295?\nAnswer: -0.1475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.10781 rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11970400.\nAnswer: 2, 5, 13, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(216))**2 + (sqrt(7) - sqrt(35)\/sqrt(5)*-4) + sqrt(7) - (-5*(sqrt(7) + 0) + 4)*-5.\nAnswer: -19*sqrt(7) + 727\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(2\/(-8))\/(4\/(-16)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 33*b + 6. Let a be j(-28). Calculate the highest common divisor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 56 = 14*v. Suppose -12 = 4*m, -4*z - 7 = -5*z - v*m. What is the remainder when z is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 2\/3 (c) -25 (d) 4 (e) 8\/7 (f) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1290313, 5161266, 11612853, 20645074, 32257929, 46451418, 63225541?\n\"Answer: 1290317*u**2 + 2*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 197 + -190. What is the closest to -1 in -1\/2, r, -0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.037 + 2843919.\nAnswer: 2843918.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 45.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 3:26 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - -8 - 8)*(-1)\/4. Let v = 0.2751 + -0.4751. Put v, -3, 2, g in increasing order.\nAnswer: -3, v, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - -2*(-6)\/4. Let q be (-2)\/(-6) - 22\/f. Let n(o) = -2*o**2 + 79*o - 35. Let j be n(39). Solve 0 = -5*s + 2*s - q*v - 12, s + j = -v for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*((-12)\/(-8) + -1). What is the third derivative of 0*g**5 - 4*g**2 + 2*g**5 + 0*g**5 + a*g**5 wrt g?\nAnswer: 300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19024284, -19024285, -19024286, -19024287, -19024288, -19024289?\n\"Answer: -m - 19024283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700)*-1*6 + 1 + sqrt(700) + sqrt(700)*1.\nAnswer: -40*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9942 + -1.\nAnswer: -9943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 - 53.54. Let c = -0.16 + q. Let y = 1 - 0.5. What is the third biggest value in 4\/7, c, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84105 is divided by 128.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*u - 200*u + 32*u + 7*u in the form a + j*u and give j.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (5 + (-17 - -5) - (3 + 0) - -2)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2 = 2. Let i(n) = 1 + 5*n + 0 + 4*n**d - 2. Is i(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 5*p + 5 = 0, -5*a = 44*p - 46*p - 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 7) to base 10\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*(sqrt(704)*-1 + 5 + sqrt(704) + sqrt(704)))**2 + (-6*(sqrt(704) + -1) + 0 + sqrt(704) + 1)**2 + -5.\nAnswer: -240*sqrt(11) + 20565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -39. Let p = g - -29. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - 4*l - 4, 3*t = 222*l - 227*l - 9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 61 = 77. Suppose 2*l + r = -4*h - 31, l + 38 = -3*h. Are h and -10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 40?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34340 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3334\/3 + -1120. Which is smaller: o or 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 13, a: 1, r: 3}.\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 8*g**2 + 2*g - 1. Suppose s - 3*b - 1 = 2*s, -2*s + 4*b = 12. Let t = s - -6. Let q(m) = 2 - 6*m - 3*m**t + 2*m - 12*m**2. What is 11*i(p) + 6*q(p)?\nAnswer: -2*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 2, 144, 3, 0 in ascending order.\nAnswer: -5, -1, 0, 2, 3, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 156, -1554, -6202, -15258, -30192?\n\"Answer: -245*o**3 + o**2 + 2*o + 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 + 1. Suppose 0*g - 21 = 3*g. What is the lowest common multiple of z(g) and 14?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 10:07 AM?\nAnswer: 9:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (131\/(-393))\/((-3)\/(-459)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -4 (b) -3 (c) -6.6 (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/9 (b) 175 (c) -0.6 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 6 + 28 = a, -2*a - 3*w = 0. Suppose 11*m + 20 = a*m. What is the remainder when 52 is divided by (-195)\/(-10) - (-6)\/m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -w**5\/660 - w**4\/132 + 5*w**3\/22 + 88*w**2. Factor m(q).\nAnswer: -(q - 3)*(q + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 357 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: Solve -1293*b = -397*b - 416*b - 428*b - 3120 for b.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**4\/4 - 5*k**3\/3 + 2*k**2 - 4*k + 56. Calculate q(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f**3*u**2 + 23*f**3 + 4*f**2*u**4 - 45*f + 2235*u - 8 wrt u?\nAnswer: 2*f**3*u + 16*f**2*u**3 + 2235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dvdy when four letters picked without replacement from hyyvyyyhyhyyyddhvvy.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2808*n. Let u(s) = -2*s**2. What is u(p(t))?\nAnswer: -15769728*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -5854.09 to the nearest 10.\nAnswer: -5850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 317575231 to the nearest integer?\nAnswer: 17821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -43, 61, -0.1?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16.889 and -594.35.\nAnswer: -10037.97715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15729 + 15727. Let c(a) = 2*a - 13. Let h(d) = d**2 - 5*d + 26. Determine m*h(v) - 5*c(v).\nAnswer: -2*v**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46\/(3*(26\/6 + -4)) is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2641 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 627 + -1?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 0*q**3 + 0*q + 5\/24*q**4 - 5*q**2 + 0 + 1\/120*q**6 + 7\/60*q**5. Determine o(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*n = 7*o + 19, -3*n - 3 = 0. Is (-19)\/(-2 - o\/4) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vxmevxxrmrrlxee. What is prob of sequence xxel?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**8\/336 - l**4\/8 - 9*l**2. Find the second derivative of j(c) wrt c.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97427221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16151 is divided by 1407?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 34903\/(-104709)*(8\/(-8))\/(2\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -82847609 rounded to the nearest one hundred thousand?\nAnswer: -82800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -95, -4536, -16569, -39986, -78579, -136140, -216461?\n\"Answer: -632*d**3 - 4*d**2 - 5*d + 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*g - 2*g + 2*g)*(-2 + 1 + 6 - 4 - 1 + 3 + 51 - 112 + 231 + (-2 + 1 - 1)*(1 + 0 + 1) + 3 + 0 - 1).\nAnswer: -342*g + 342","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1015808 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -98.\nAnswer: -3\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 2*s - 35. Let k(j) = j**3 + 7*j**2 + 2. Let b be k(s). Suppose 5 = -b*f + 39. Which is smaller: f or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 530 and 3697132.\nAnswer: 979739980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 14*p + 11. Calculate the smallest common multiple of l(14) and 47.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1420.04 - 1420. Sort y, -5, 5, 0.\nAnswer: -5, 0, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + c = -i - 4, 2*i - 4*c = 16. Find the third derivative of j**2 + i*j**3 + 0*j**3 - 4*j**4 + 3*j**4 wrt j.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*t + 28. Let g be 80\/(-14) + 8\/t. Let i(s) = s**2 + 2*s - 4. What is the units digit of i(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 23840091 + 92244091 = 0. Round u to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -10, s + 2*s + 5*v + 8 = 0. Let h(q) = -q**2 - 6*q. Let u be h(s). Suppose u = -0*m + 4*m - 76. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 26 = 3*t - 10*t. Sort -5, t, -11 in descending order.\nAnswer: t, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + -786?\nAnswer: -806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0 (b) 390 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1933, 3141, 4091, 4795, 5265?\nAnswer: 5513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -19*o + 6. Let c(s) = 18*s - 5. Let r(v) = -6*c(v) - 5*m(v). Suppose -9*q - 28 + 1 = 0. What is the remainder when r(q) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -145, -224, -337, -484, -665, -880?\nAnswer: -1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16826 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42.5499 + -2521696.4501. Let m = u + 2521727.999944. Let x = -11 - m. Round x to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6.04 and -102622.619.\nAnswer: -102616.579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -1370*t. Let o(p) = -11*p**2. Determine o(k(x)).\nAnswer: -20645900*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165240796?\nAnswer: 2, 7, 19, 263, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a meter in micrometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 776579.\nAnswer: 443, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 17 = -1. Let w = t + -3. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-33)\/(-9) - ((-255)\/5)\/(-17). Suppose 0 = -d + j - 3, -5*d - 2*j - 5 = 3*j. What is the closest to -0.1 in d, -168, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 16*g + 52. Let o be q(10). What is the tens digit of (-204)\/o*92\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35541 or -35529?\nAnswer: -35529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*k = 9308 - 414 + 2950 for k.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -115*i**3 + 29*i**2 + 183*i - 7. Is b(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5*i**2 + 710*i + 1398. Let s be h(-140). Let p = -5 + 2. Let d(c) = -c**3 + 8*c**2 - 7*c + 1. Let a be d(7). Sort p, 3, s, a in descending order.\nAnswer: 3, a, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.667 - -0.033. Let k = 0.3 + d. Which is the biggest value? (a) 0.2 (b) 0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/8*((-4)\/(-48))\/(30\/96).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k + 477 - 478 - 3*k**3 + 3*k to w*k**2 + m*k + v*k**3 + l and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -126 - -153.9. Let j = 28 - u. What is the closest to j in 1\/5, 0.3, -0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -208250, -208251, -208252, -208253, -208254?\n\"Answer: -k - 208249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, k: 10}. Give prob of sequence kyyk.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 1230\/199?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67.316 + 67. Let v = r + -0.084. Which is the third smallest value? (a) v (b) -0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1022)\/2*(2418\/(-91) - -26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2. Let c(z) = 476*z + 1. Let t(a) = 475*a. Let p(q) = 3*c(q) - 2*t(q). Calculate p(u(r)).\nAnswer: -956*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-17)*q**20)**(24\/13))**(2\/39) assuming q is positive.\nAnswer: q**(48\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 206348, 412590, 618832, 825074?\nAnswer: 1031316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a meter in centimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, f: 5, p: 13}. Give prob of picking 2 f and 1 l.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.442 + -0.042. Which is the nearest to -1? (a) -1\/4 (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**4\/4 + 4*n**3\/3 - n**2\/2 + n - 1. Let d be z(-3). Let j = 23 - d. Calculate the highest common factor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 5*w + 9, -5*n - 3*w + 0*w + 6 = 0. Let i be 2\/n - 10\/24. What is the closest to i in -2\/5, -1\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4380429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -8*g + 208. Is 20 a factor of i(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q + 5*v - 7 = -5*q, 4*v + 7 = 3*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9343, -9347, -9353, -9361?\n\"Answer: -r**2 - r - 9341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0.04, -92.8, -2, -0.1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/3*(3\/5)\/((-28)\/(-1120)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41337360.\nAnswer: 2, 3, 5, 57413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -195735*i**3*n**3 + 2*i**3*n**2 - 54*i**3*n + 55*i - n wrt n.\nAnswer: -1174410*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = v - 25, -2*x - 4*v = -20. Suppose -76 = -4*o - x. What is the least common multiple of 16 and 1 - 1 - (3 - o)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 0)*(-100000)\/1. Round b to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 12. Put -4, n, -2 in descending order.\nAnswer: n, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 9 = 1. What is the third derivative of 3*d**4 + 6*d**5 - 3*d**2 - 3*d**4 - s*d**2 wrt d?\nAnswer: 360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-96)\/(-16))\/(-6))\/((-1)\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1540.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/9))\/s)\/s**(-17) assuming s is positive.\nAnswer: s**(154\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 132 = 5*r + 43, -2*r - 2*h - 72 = 0. Which is smaller: -6 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from inihinhiidiiii. What is prob of picking 2 i?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-6))\/((-3)\/(-72)). Let n = l + -19. Sort 0.4, -0.2, n in ascending order.\nAnswer: n, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 283 - 265.1. Let q = 18 - f. Let j = -0.05 - -0.45. Which is the biggest value? (a) q (b) -3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 372*o + 7813. Give b(-21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**13*l**(-24)*((l*l**(6\/13)\/l*l)\/l)**(1\/4) assuming l is positive.\nAnswer: l**(-283\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-61)\/3 - 2\/3. Let h = 39 + b. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37601040*0.4\nAnswer: 15040416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 18 = 7. Let w = -13 + 18. Suppose w = o - 8. What is the remainder when o is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g + 25 = -4*b - 25*g, 495 = 3*b + 6*g + 489 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 j when two letters picked without replacement from ikjujjuiuz?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1693509, 3387048, 5080591, 6774138, 8467689, 10161244, 11854803?\nAnswer: 13548366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 divided by 10\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 12*m**2 - 7*m + 32. What is a(-11)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 48 = -84. Suppose 0 = d - 4*n - 237, 5*n + 6 = -9. Suppose 3*b + 135 = -0*w + 3*w, 5*w = 3*b + d. What is the greatest common divisor of w and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**2 - 31325*f - 1417725. Give q(-45).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 + 3*j**2 - 3*j**2)*(j**3 + 0*j + 0*j) + 4*j - 4*j - 5*j**5.\nAnswer: -2*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31241256 and 12?\nAnswer: 31241256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -28, -8, -12 in decreasing order.\nAnswer: 1, -8, -12, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/9 + 3934*l**2\/9 - 4610378*l\/9 + 1096582490\/9.\nAnswer: 2*(l - 439)**2*(l + 2845)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4525.135 years in centuries?\nAnswer: 45.25135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 1 = 2*i + 3, 0 = 3*i - 12. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (25*32\/(-2800))\/((-1)\/(7\/(-13)))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50350 (base 6) in base 5?\nAnswer: 202433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12939 times 28\nAnswer: 362292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 63592459 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/41890 and 2\/536121.\nAnswer: 316311390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2118229160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from lelwlewewel?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36180611.\nAnswer: 36180611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1128\/705*5\/(-14)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, d: 4, z: 1, c: 5}. What is prob of sequence sz?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -335 + 339. Suppose q*w + o = 7, -6*o = 5*w - 3*o - 7. Solve 8 = -u - 5*t, 2*t + w*t + 4 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**3 - 5*r**3 + 2111*r - 2111*r + 66*r**2 + 2*r**3 to d*r**2 + j*r + i + a*r**3 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8 + 8*z**4 + 28 - 15 wrt z?\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 165137 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 48 = 4*b, -4*f - 293*b + 294*b - 21 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five quarters of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - 9) + (-2 - -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/30030 and 89\/1170.\nAnswer: 90090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -964*n = -958*n - 18. Solve -2*m - 1362*m**n + 20 + 1367*m**3 + 42*m + 25*m**2 = 0 for m.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**3\/3 + 2*z + 63. Let b(y) be the second derivative of y**3\/3 - y. Determine b(r(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3879.9 + -85.6846\nAnswer: 3794.2154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4425.57 - 4407. Let h = q - 1.77. Let l = h + -15.41. What is l rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 387, 326, 255, 168, 59?\n\"Answer: -q**3 + q**2 - 57*q + 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4228853 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2100 + -6280\/3. Determine f so that 0 + 0*f - m*f**3 + 20\/3*f**2 - 5*f**4 = 0.\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of m**3\/3 + 6*m. Let k(f) = -2*f. Give k(q(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -8. Let o = -3 + v. Suppose 5*a + 1 - 30 = -o*w, -3*a + 7 = -4*w. Solve -y = c, -16 = 5*y + w*c - c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 349 times 0.21?\nAnswer: 73.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**5\/20 - k**4\/24 - k**3\/3 - 19*k**2. Let x = 6 + -1. Suppose 0 = x*b + 5 + 5. Give d(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -80*k - 476. Let m be x(-6). Let v(b) = b - 1. Suppose 3*j + z = 17, j - 2*j - 4*z = -2. Let o be v(j). Solve 3*w + o = m*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 792945593 and -0.3504.\nAnswer: 792945592.6496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + 1 - (-14)\/2. Let v = -2 + r. Let g(c) = c - 3. Let j be g(v). Solve j*x = 5*x + 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-2))**12*((n\/n**(2\/5))\/n)**(-4\/13))**38)**(-4\/9) assuming n is positive.\nAnswer: n**(235904\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -36776 or -36648?\nAnswer: -36648","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 319512731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 560163 or 560162?\nAnswer: 560162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9\/4951 + 322193\/207942. What is the common denominator of 88\/75 and j?\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 911287561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 88664879 and 88664872 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 42*n - 747. Give r(18).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -14*g - 18. Let d(o) = -5*o - 6. Let w(u) = -11*d(u) + 4*l(u). What is w(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 23*b**3 - 6*b**2 + 63*b - 312. What are the prime factors of v(7)?\nAnswer: 2, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 h, and 2 v when four letters picked without replacement from {h: 2, v: 4, m: 1}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25.1 - 0.108.\nAnswer: -25.208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1009 - -217a?\nAnswer: 3187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 454*n**3 + 850*n**3 - 104*n**3.\nAnswer: 1200*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 106031311 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 368*f*m**3*s**2 + f*m*s**3 + 5*m**3*s**3 + m**3 - 21*m**2*s**3 - 22*m**2*s**2 wrt m?\nAnswer: 2208*f*s**2 + 30*s**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 27, 59, 91, 123, 155, 187?\n\"Answer: 32*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00072592 to five dps.\nAnswer: 0.00073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*i**2 + 8 - 8 - 4*i**2 + 2*i**2 + i**2 + (-4*i - 2*i + 4*i)*(0*i - i + 0*i) + 4*i - 4*i + 2*i**2.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97482761?\nAnswer: 79, 137, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -5, -3, 911, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002249033 rounded to 4 dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 23074839.\nAnswer: -6922451.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1020)\/(-288)*24 + -85.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-56)\/24 - (-4)\/2. Let f = 2 + -2.5. Let u = -0.1 - 0.3. Which is the nearest to p? (a) f (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**5 - 30*j**4 - 64*j**3 + 96*j**2 = 0.\nAnswer: -12, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 + 1 + -5 - (-59)\/(-42). Let g(m) be the second derivative of -2*m - 4\/7*m**2 + 0 - w*m**4 + 20\/21*m**3. Factor g(v).\nAnswer: -2*(5*v - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 425*k - 46747. Determine t(110).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*b - 5*f = 284*b + 525, -8*b + 4*f + 396 = -60 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 0. What is the remainder when 53 is divided by 3\/r - (-86)\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -3. Let g be 0 - (-1 + -4 + -2). Let v be (-12)\/(-84)*-3 + 619\/g. Calculate the greatest common divisor of v and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 66635756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6171539.0147 - -6171883. Let l = -236 - 108. Let p = l + h. What is p rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -28384\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-28)\/20 - -1)*-5 + -2. Suppose 3*n + 33 = i - o*i, -2*i = 2*n - 58. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -706 or -1516?\nAnswer: -706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/(-8) + -1)\/((-1)\/2). Which is the closest to i? (a) 4 (b) -1\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13653 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -37061*f. Let l(b) = -97*b - 1. Calculate l(w(d)).\nAnswer: 3594917*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is 3958913.9 rounded to the nearest 1000?\nAnswer: 3959000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27829?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18651465 - -5?\nAnswer: 18651470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-6)\/(-294)*7*3\/(-9))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1331 + -1112101322?\nAnswer: -1112033331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the first derivative of w**2\/2 - 10637. Let k(j) = -2*j**2 + 7*j - 6. Let m(l) = l. Let q(n) = -2*k(n) + 14*m(n). Give q(p(f)).\nAnswer: 4*f**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-7)\/o**(-34) assuming o is positive.\nAnswer: o**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 306727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3006031.872 to the nearest ten.\nAnswer: 3006030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-6))\/((25040\/(-5280))\/313)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 336 - 315. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1020 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/13 - (-36477)\/(-213265))*15\/(-2)?\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/8 and 16\/321?\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 634 - 641. Let v be (f\/(70\/15))\/((-3)\/(-4)). Put -6, v, 3, -1 in decreasing order.\nAnswer: 3, -1, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 15*n = 14*n - 21, -t = -3*n - 11. Which is the closest to -4\/11? (a) -0.4 (b) -0.17 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-376)\/(-40) - 9)\/((-4)\/(-20)). Put -1\/4, p, 5, -172 in ascending order.\nAnswer: -172, -1\/4, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4601800 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**3 - 5*r**2 - 9*r. Let t be n(3). Suppose -18*g + t*g + 330 = 0. Calculate the smallest common multiple of g and 30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 6*p**2 + 13*p + 16. Let h be m(8). Which is the nearest to 2? (a) h (b) 1\/2 (c) 0.2 (d) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 9*w**3 - 3*w**2 - 131*w - 118*w + 245*w in the form z*w**2 + g*w**3 + h + r*w and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1649894567?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -3*(13 - 22092\/36) and 477?\nAnswer: 16218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 1086*p - 11296. Calculate o(10).\nAnswer: -436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*m + 8, 2*m = 3*j - 2 + 6. Let c(z) = -z - 1. Let h be c(j). Let q = 5.5 - 5. Is q less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 9, i: 4, k: 1}. Give prob of picking 2 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 17 - 96*z + 3 - 424*z. Let l be h(-9). What is l rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(931)*-2 - sqrt(931))**2 - (-2*sqrt(931) + -5)**2) + 2*4*(1 + sqrt(931))**2*2.\nAnswer: 84*sqrt(19) + 53058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1187 + -1271. Is -86 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m*o - m*q + 20*m + 1673*o**3*q - o**3 - o**2 - 363*q with respect to o.\nAnswer: m + 5019*o**2*q - 3*o**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-14)\/(-4)*-2)\/(-1). Let i(p) = -7*p - 21. Let c be i(-14). What is the greatest common divisor of c and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*-28*(-408)\/32. Suppose -5*x - 3*s + 412 + t = 0, -5*x = 4*s - 767. Suppose 0 = -2*c - 3*c + x. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 - 2644*q**2 - 1745037*q + 3500658.\nAnswer: -(q - 2)*(q + 1323)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-25))\/(28*65\/(-40950))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-5 + sqrt(128) + 2)*6 - (sqrt(32) + -5 - -1*sqrt(2)*4))*-3)**2.\nAnswer: -9360*sqrt(2) + 30321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 5 + 5)*(v**2 - v**2 - 2*v**2 - v**2 + 2*v**2 + 0*v**2 + (-16*v - 8*v + 20*v)*(3*v - v + v))*(-5 + 3 + 1)*(5 - 4 + 8).\nAnswer: 117*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t - 571519 = 1385981. Round t to the nearest 1000.\nAnswer: -68000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2428*b = 2429*b - u, 2*u = -4*b - 18 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1718510709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 t when two letters picked without replacement from bnvetebvnvgv?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w**3 - 11*w**3 + 25*w**3 + 24*w**3.\nAnswer: 29*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 9*n**2 - 30*n - 26. Let g be p(-13). Let h = 451 - g. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-1) - 76\/57. Let l(s) be the first derivative of 0*s - 7 + 0*s**2 + j*s**3. Let m(q) = -9*q**2. Calculate m(l(y)).\nAnswer: -36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 10 = -0*h. Let d be (-32)\/4 - (1 - -1). Let y = h + d. Solve s + y = 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001598876597 to 5 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1717798\/536815 - -2\/107363. Let 0*a - 12\/5*a**2 + s - 4\/5*a**3 = 0. What is a?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367832\/4065 greater than or equal to 91?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, 28.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -479\/4 - -119. Let o = -9\/4 - f. Suppose 5*x = -5*m - 4 - 1, -3*m - 5*x = 5. Which is the second smallest value? (a) o (b) 0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -3*b + 2. Which is greater: b or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 64 - 1048 = 0. Let t = -90 - z. Calculate the remainder when 139 is divided by t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from shssshshshsssh. What is prob of picking 2 s?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 - 3.8?\nAnswer: 88.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1185.\nAnswer: 2\/1185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from sssnnn.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/6 + -7 + 14. Suppose -d*p + 682 = 94. What is the remainder when p is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*y = n + 374*y + 17, 4*y + 8 = -5*n - 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -142, 0, 5 in decreasing order.\nAnswer: 5, 0, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r. Let c(p) = -42*p**2 + 1. Give c(y(t)).\nAnswer: -42*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + 0*x + 75 + 46 + 2*x.\nAnswer: 2*x + 162","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2413 - -2418. Solve -30 = -5*g - o*h, 3*g = 4*h - 0*h - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 + 332026983\/1683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 253269641*m*z**3 - 8508*m*z**2 + 5921*m*z + m + 2*z**4 + 2*z**3 + 2 wrt z.\nAnswer: 1519617846*m + 48*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -8, 1, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1592440 and 1444848.\nAnswer: 296193840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + -1 + (5 - 0) + (-93 - -89)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60\/75 - (5 + (-42506)\/5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-249)\/83)\/((-6)\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-544)\/608 + (3 - 2). Let i(p) = -12*p. Let s be i(-5). Let k be (-4)\/14 + s\/(-35). Which is the second smallest value? (a) 4 (b) m (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from {j: 1, z: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 4 in descending order.\nAnswer: 4, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1869782332?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/((s*s**(-3)\/s)\/s)*s))\/s**(2\/3) assuming s is positive.\nAnswer: s**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20448759.7 rounded to the nearest 1000?\nAnswer: 20449000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1815467 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/9, 2\/7, -139, -10.\nAnswer: -139, -10, -2\/9, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480 a factor of 183080298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2869 = 3*g, -g + 524 = 2*p - 425. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 7. Let c(m) = -m. Let s(w) = 5*w**2 - 10*w + 4. Let z(r) = -6*c(r) + s(r). Let d(h) = 14*h**2 - 11*h + 11. What is y*d(b) - 11*z(b)?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 72.812542 to the nearest integer.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 8*n - 3 + 2*n**2 + 4 + 3*n - 4*n + 1. Determine t(-8).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/7173 and -65\/1107.\nAnswer: 882279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13346*p**4 + 26*p**2 - 3*p - 1.\nAnswer: -320304*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/194 and 1\/10*-6 - 896\/(-60).\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10432 is divided by 201?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*m**2 + 6*m**2 - m**4 + (6*m**2 - m**2 + 3*m**2)*(-18*m**2 + 0*m**2 - 12*m**2)*(-5 + 4 - 1).\nAnswer: 479*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 40. Let k = 5 - y. Calculate the greatest common divisor of k and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1303467 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506*k = 3369*k + 68712 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38*(-68)\/18088 - (-152)\/(-14).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -3. Let f be (-12)\/o - 2 - (-2)\/1. Let q = -0.3 + 0.2. Which is the nearest to -1\/4? (a) 2 (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40073 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -z - 27. Let y = z + 30. Suppose y = 2*h - 7*h + 230. List the prime factors of h.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**5\/40 - 3*c**4\/32 + 23*c**2. Let s(r) = 0. What is r?\nAnswer: -3\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 5*s + 2. Let x be r(3). Let a = 36 - 6. Let t = x + a. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 6*u**3 - 3*u**2 + 2*u + 8. Let b be (66\/198)\/(1\/9). Let s(v) = -5*v**3 + 2*v**2 - v - 7. What is b*s(m) + 2*l(m)?\nAnswer: -3*m**3 + m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 192 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.3 and 225?\nAnswer: 226.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 1. Let y be h(-3). Let l(d) = -3*d**3 - 2*d**2 + 4*d - 2. Let a be l(y). Let t = 48 + a. Calculate the least common multiple of 22 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-8)\/(-4)*-1)\/(-2). Suppose 9 - c = 2*u. Suppose -u*s - 1322 = 2278. What is s rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/(-55) - 7\/((-105)\/(-11))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 9, 20*b - 5*x = 18*b + 4305. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8662.147 - 8667.146999. Let f = 65 - 60. Let n = i + f. What is n rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)\/(a*a**2\/a))\/(a\/(a*a*a**(-2\/9)*a*a)*a*a\/((a**(-10)*a)\/a)) assuming a is positive.\nAnswer: a**(-137\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6824 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (531\/(-9735))\/((-3)\/5)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -598 + 1087. What is the remainder when z is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s**3 - 6*s**2 + 9*s - 124. What are the prime factors of t(6)?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + n + 4. Let q(m) = 3 + 4*m**2 + 7 + 6 + 5*m. Let l(h) = -6*q(h) + 22*y(h). Find g such that l(g) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8*(-3 - (-5)\/2). Let n be (-2)\/(-2)*7 + k. Let a(i) = i. Let y(f) = -14*f**3 - 3*f - 9. Let s(l) = n*a(l) + y(l). What is the derivative of s(r) wrt r?\nAnswer: -42*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -19*v - 10. Suppose -8*u + 5*u - 6 = 0. Is 8 a factor of n(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 978.5803 - 966.67. What is a rounded to 1 decimal place?\nAnswer: 11.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 22. Suppose o = -2*l - l. Suppose f - 30 + 3 = l. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 z when two letters picked without replacement from {z: 1, k: 3, o: 1, t: 2, d: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -3. What is the lowest common multiple of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1592119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - z - 1. Let p be -5 - (-6 + 1 - -1). Let a(f) = f**3 + 3*f**2 - f - 3. Give p*a(x) + 3*d(x).\nAnswer: -x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 61169 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 2*w**2 - 7*w. Calculate the smallest common multiple of ((-18)\/3)\/((-6)\/20) and c(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p - 7*p + h + 20, 0 = -3*p + 2*h + 25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 8*i + 12. Let b be o(-9). Let s(k) = 6*k - 7 - 2*k**3 - 2*k**2 + 6*k**2 + k**b. Let m = -242 + 247. Give s(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-4))\/((-12)\/1568). Suppose 0*l - 254 = -4*v + l, 3*v + 2*l = z. Is v a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 w when three letters picked without replacement from zfzeezzeyzwe.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a - 13. Suppose 0 + 5 = -l. Let z be t(l). Let q be (230\/11)\/(-5) - z\/(-11). Which is greater: q or 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 - (-41 - -5)\/3. Let s(m) = m - m**2 + 5*m + 1 + 4. Determine s(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10251 = -284*q + 13751 + 13824 for q.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*l - 1931, -3158 + 10822 = 4*w + 4*l. What is the hundreds digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1672 - 1671.988. Which is smaller: 12\/77 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -d - 5. Let l be ((-2)\/d)\/((-8)\/80). Suppose -2*p + 3*j = 5, l*j = -4 + 29. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dcch when four letters picked without replacement from {p: 1, c: 2, q: 1, h: 1, u: 1, d: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -11. What are the prime factors of -1*(y + 3 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -6*j**3 - 6*j**2 - 4*j + 6. Let x(t) = -5*t**3 - 5*t**2 - 3*t + 5. Let q(u) = -4*n(u) + 5*x(u). Factor q(c).\nAnswer: -(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -192*n**3 + 9*n**2 - 9. Let a(k) = 48*k**3 - 2*k**2 + 2. Calculate 9*a(h) + 2*g(h).\nAnswer: 48*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*w**5 - 3*w**4 + 639*w**3 + 2*w**2 - 11809*w - 52?\nAnswer: 360*w**2 - 72*w + 3834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*c = 143*c + 946 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 128246346?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/(-10)*8\/(-18). Let u = 76 + 123. Let f = u + -195. Which is the nearest to o? (a) f (b) -0.5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*t**2 - 15*t - 64*t + 67 + 81*t to q*t**2 + y*t + n and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 4650?\nAnswer: 4647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3626536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24\/168)\/(2 + 10\/(-4)). Is y >= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 0*x**4 + 0*x + 0 + 1\/120*x**6 - 2*x**2 + 1\/30*x**5 + 0*x**3. What is the third derivative of k(b) wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 452.323 to the nearest 10.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15291 rounded to 2 dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 - (7 + 12)) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5170 = 30*h - 23420. What are the prime factors of h?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j + 907 - 55 + 43*j + 861.\nAnswer: 58*j + 1713","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 24 = 4*x, 64 = -431*s + 432*s - 6*x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*q**4 + 287*q**3 - 287*q**3 + (5*q**3 - 2*q + 2*q)*(-2*q - 3 + 3) + 15*q**4 + 87 - 87 in the form z*q**2 + j + g*q**3 + i*q + v*q**4 and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 135481 and 135481 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 508 by 1.\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-50352)\/(-88) - (-6)\/(-33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*((-10)\/(-15))\/(24\/18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -8, -3, -6 in descending order.\nAnswer: 1, -3, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1450 (base 7) in base 5?\nAnswer: -4244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*j + 505. Does 24 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.4 + 24.4. Let o = -22.1 + l. Let u = -0.68 - -1.08. Which is the second biggest value? (a) 0 (b) -4 (c) o (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 4:46 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37450.\nAnswer: 2, 5, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -10 - 0. Let a(b) be the second derivative of b**4\/12 - b**2\/2 + 3*b. Let z be a(u). Sort -4, z, 5 in descending order.\nAnswer: 5, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 48171, 48168, 48163, 48156?\n\"Answer: -z**2 + 48172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*2*3 - sqrt(612))**2*5 + -5 + (sqrt(612)*4 - (((sqrt(187) - ((sqrt(187) - sqrt(187)*-2) + sqrt(187))) + sqrt(187))\/sqrt(11))**2) + 2.\nAnswer: 24*sqrt(17) + 76429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 0.171?\nAnswer: 1.171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -50*a - 1. Let q be i(-1). Suppose -89 = -w + q. Let d = w - 71. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -783915264287.059 - 2.\nAnswer: -783915264289.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2. Suppose -o + t*o + 1 = 0. Let a be (-2 - o)\/((-2)\/4). Solve -4*r = x, -r = -a*r - x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 0 + 0 + 3 - 6*n - 2*n. Let r(c) = -7*c + 2. Let s(i) = -7*i + 341. Let y be s(48). Determine y*r(a) - 4*h(a).\nAnswer: -3*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 - -60. List the prime factors of ((-2)\/(-2))\/(-5) + (-522)\/o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 0.2, -2, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-63)\/6*17*1380\/5474)?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19911*v - 9283 wrt v?\nAnswer: -19911","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 + (194 - 100) - (1 + 29).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 6*h + 8. Let j be l(5). Suppose 21*a - 22*a = -j. What is the remainder when 111 is divided by a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 586*q**3 + 595*q**3 + 3 - 1779*q**3 + 593*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 844*m**2 - 3 + 0 + 876*m**2.\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -0.5, -4\/5, -1, 30\/7 in decreasing order.\nAnswer: 30\/7, -0.01, -0.5, -4\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.263 to zero dps.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 38*b**2 - 1238*b + 14. Give w(-21).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 9) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b - b + 14 + 0. Let g be j(-11). Let s(t) = t**2 + 6*t - 4. Let x be s(-7). What is the greatest common divisor of g and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*g + 38. Let m be 540\/g + (-8)\/28. Round m to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1508 - -14?\nAnswer: -1484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -561*i - 453. Calculate o(-3).\nAnswer: 1230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*o - 19*o + 40*o.\nAnswer: 63*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11210.\nAnswer: 2, 5, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iv when two letters picked without replacement from totottitoovott?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14959414?\nAnswer: 2, 131, 57097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*k + 71*k + 3597 - 639 = 0 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (3 + (7 - 14) + 2).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l - 3 - 2*l**2 + 0 + 4*l**2 + 2*l - l**3. Let b be v(3). Suppose b = r + 3*r - 44. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 37*q**2 + 47*q + 73. Let g be u(-31). Is g\/5 - (0 - (-12)\/(-20)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20940.8831942 - -20902.8832. Let k = -1058 - -1096. Let b = k + d. Round b to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 5. Suppose -34 = -2*b - s*a - 2*a, 5*a = b - 17. Let m = b - 14. Solve -3*v + m*d - 2*d = -14, 0 = -2*v + 2*d + 16 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**5\/60 - k**3\/6 + 2*k**2 + 175*k. Let s(b) = 1. Let a(m) = -4*m**2 - 3. Let w(z) = a(z) + 4*s(z). Determine o(v) + w(v).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 0*r - 2*g + 330, 5*g + 5 = 0. Let k = r - 121. Calculate the highest common divisor of 240 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 9421.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 6 + 8 - 2 - 2*g - 88*g in the form k*g + n and give k.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 + 2)*(-2)\/(-2). Suppose 0*c = -r*c + 30. Solve -3*g + c = -0*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 72 - 78 = -5*v, -4*v = 2*d + 230. Let k = -627\/5 - d. Which is the nearest to 2? (a) -5 (b) k (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87 + -14 + (11 - 24) + 34?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 14*f = -275. Suppose 3*d - 20 = f. Suppose 5*q + 2 = -a, -a + 3*q + q + d = 0. Calculate the remainder when 50 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -15 - 0. Let y = u + 5. Let -3*z**2 - 2*z**y + 0*z**3 + 4*z**2 + 1 - z**3 + z = 0. What is z?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 193, 292, 391, 490, 589?\nAnswer: 688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1425*w**2 - 1822*w**2 - 1823*w**2 + 6892*w**2 - 1802*w**2.\nAnswer: 20*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 33478357 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-54)*(-96)\/(-128) + (-88)\/(-90). Suppose 8\/5 + 1\/5*t**3 + 12\/5*t + a*t**2 = 0. Calculate t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -18*m**2 - 416*m - 1903. Give z(-6).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 - 32.66. Let x = 0.3400006 - h. Round x to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = 46*z - 51*z - 5, 0 = 5*o - 5*z - 5. Which is smaller: o or -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 5*c**4\/24 + 37*c**2. Let h(u) = 2*u**2. Calculate h(g(l)).\nAnswer: 50*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-3) + (-21)\/3. Let h be 2248\/(-32) + (-1)\/u. Calculate the remainder when (-2020)\/h - (-2)\/14 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 63529a80 - -3?\nAnswer: 63529a83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**2 + 3*w. Let p(q) = 2*q. Let t be p(4). Let n be (((-20)\/t)\/(-5))\/(2\/(-24)). Let g(u) = 4*u**2 + 2*u. Calculate n*g(x) + 4*h(x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -24*c**3 - 5*c**2 - 4*c + 2. Calculate the remainder when o(-2) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8134179 + -2877524. Let b be j + 0 - 6\/(-2). Let w = b - 3356658. Round w to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 11 = 4*p - 3*j, -14 = -5*p + j. Suppose 4*m = -1 + 9. Suppose -a = -m*a - p. Sort a, 3, -2 in descending order.\nAnswer: 3, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/5 (b) -2\/9 (c) 1\/3 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 548*w - 535*w - 4503421. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 18*z - 19. Determine y(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 91 = -5*v. Let w = -27 + v. Let o = 16 + w. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 736, 2188, 4942, 9430, 16084, 25336?\nAnswer: 37618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 68*z - 13*z - 43615. What are the prime factors of z?\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zg when two letters picked without replacement from {m: 1, g: 1, o: 2, z: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 2. Let j(t) = -4*t. Calculate q(j(y)).\nAnswer: 4*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1447 divided by 653\nAnswer: 1447\/653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-1)\/3*(0\/(-9))\/(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2917305938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 3\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - b**2 - 2*b + 28. Let a be 5\/((-20)\/12) + 3. Let q be r(a). Suppose -2*i + q = -10. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 10}. What is prob of sequence qq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 107\/35 - 1353\/280. Let q = 54\/443 + 9823\/24808. What is the common denominator of s and q?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2189576371?\nAnswer: 6047, 362093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 5*t - 23 = 6, 0 = -4*k - 4*t + 36 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -4. What is the remainder when 45 is divided by (4\/3)\/(a\/(-27))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from ouuooauoaouuuoaouo.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -4\/36087?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -140, 7, 9, 35 in ascending order.\nAnswer: -140, 3, 7, 9, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1614617 to three decimal places.\nAnswer: 0.161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {v: 11, w: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2353488440 to the nearest one million.\nAnswer: 2353000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6157457 is divided by 1523?\nAnswer: 1491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1298 and 532191?\nAnswer: 62798538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2585*t**4 + 7780*t**3 + 436790*t**2 + 422300*t - 4125 = 0. What is t?\nAnswer: -11, -1, 5\/517, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 4*y + 9. Suppose 3*a = y*x - 2 + 47, a = 2*x + 19. What is the remainder when a is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3*v**4 + 3*v**3 - 3*v**2 - 3*v = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 20 = 5*q, -l + 4 = -0*l + 3*q. Let i(j) be the second derivative of j**4\/12 + j**3\/3 + 5*j**2\/2 - 2*j. Is i(l) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36 + -36.21. Let x = 0.51 + q. Let z be 10\/4*4\/15. Which is the second biggest value? (a) z (b) 3\/4 (c) 1 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2663 by -1.\nAnswer: 2663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6. Suppose y + 4*y = 0. Suppose 22 = s + 4*k, 0 = -y*s + 2*s - 3*k. Let r(d) = d - 102. Calculate s*r(t) - 102*i(t).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuutpzttpm. Give prob of sequence pz.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 equal to -13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 156*y**2 - 754*y + 148. What is r(-151)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-465)\/372)\/((-2)\/8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2241412 - 141?\nAnswer: -2242103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**2 + 9*s - 7. Let o = 23 - 20. Let c be q(o). Is c < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 37 + -27. Suppose a*f = 12*f - 14. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -256368.\nAnswer: 512736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y + 13. Suppose -o = -0*o - 8. Let q be r(o). Let m = 2 + -2.4. What is the closest to 1 in -0.2, q, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 256, 547, 860, 1207, 1600, 2051, 2572, 3175?\n\"Answer: 2*l**3 - l**2 + 280*l - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21\/4? (a) 3269 (b) 1 (c) -0.2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-2192 - 25*s + 1052 + 1080).\nAnswer: -50*s - 120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2044 and 255865?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 5, 4, 15, 3 in decreasing order.\nAnswer: 15, 5, 4, 3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 285821206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + 4\/4 + 6. Let g = 12 - v. Let d = 12 + -8. Solve -2*o = -2*q + d, g*q - 24 = 2*q - 2*o for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -7*r**2 - 2*r + 1. Let w(a) = -3*a**2 + 6*a - 1. Let n(f) = -f**2 + f. Let h(l) = 4*n(l) - w(l). Let g be h(-2). What is s(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 53077, 106183, 159291, 212401, 265513?\n\"Answer: z**2 + 53103*z - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8\/439 - -12204\/4829. Let w = -24058575\/286 + 168237\/2. Let o = w + l. Which is the third biggest value? (a) -2\/5 (b) o (c) 2\/11 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + w)*(3*w + 1 - 1 + (-2*w + 0*w + 3*w)*(1 + 3 - 5) - 20*w - 2 - 24*w + 41*w) + 2*w**2 - w**2 - 3*w**2 to r*w**2 + d*w + x and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 6*c - 4. Let j be u(7). What is the second derivative of -j*a**2 + a + 1 - 1 - 6*a wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**3 + 6777*a**2 - 40689*a + 61047 = 0?\nAnswer: -6783, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from epbeyyeepeeyeeeyyee?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2597\/5 - -519. Let u = -0.1 - -1.4. Let p = u + -1. Which is the nearest to -0.1? (a) p (b) 6 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -1\/2 (b) -0.6 (c) 2\/5 (d) 1\/33 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-4 + 4\/8). What is the smallest value in -2, p, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -1\/6*q**4 + 0 + 1\/60*q**5 - 4\/3*q**3 + 43*q + 21\/2*q**2. Let m(i) be the first derivative of r(i). Determine m(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00150054253 to five dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4 = 2*d. Suppose -41 + 5 = -d*o. Suppose 146*n = 148*n. Solve n = -4*u - 25 + o for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 2*d**2 + d + 2. Let o(i) = 5*i**3 + 9*i**2 + 4*i + 8. Suppose 0 = 81*a - 162. Determine a*o(n) - 9*p(n).\nAnswer: n**3 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5373 divide 369974034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2333*p**2*t + 14*p**2 - 57831*t wrt p.\nAnswer: -4666*p*t + 28*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 15 = 4*x, 3 = 3*x - 4*q + 23 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34849922 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x + 2. Suppose 6*r = 2*r + 4*m + 8, -3*m - 4 = -r. Let i be w(r). Let f = -83\/24 - -23\/6. Which is the closest to -0.1? (a) -1\/2 (b) i (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**2 + 5*l - 2. Let v be s(3). Let m(t) be the first derivative of t**2\/2 + 8*t - 9431. Give m(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/8*(-16)\/(-28). Suppose 3*y - 2*i - 21 = 0, 2*y = -3*y + 3*i + 34. Put 3\/4, y, n in decreasing order.\nAnswer: y, 3\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 355 - 354.473. Let j = n + -0.027. Let g = 0.1 - 0.1. Which is the smallest value? (a) j (b) g (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 - -21. Suppose -7 = -h*l + 3. What is the tens digit of l\/(-5) + (-374)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*h = -93*h + 13 - 4101 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*k = -27, 2*i - 8 - 5 = k. What is the third derivative of 0*d**4 + 3*d**i - 2*d**4 + 2*d**4 - 3*d**2 wrt d?\nAnswer: 360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*l + 65*l + 2*p = 10, -5*l + 17 = -21*p + 22*p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2911648349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 160326 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*s - 20*s + 6*s**2 + 8*s in the form a*s**2 + q*s + n and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(891) - (1*(sqrt(891) + 0))**2 - (-6*sqrt(891)*1 + sqrt(891)))*3*-5.\nAnswer: -4050*sqrt(11) + 66825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 4*h**2 - 608628*h + 4260200 = 0.\nAnswer: 7, 152150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 + 63. Solve 5*n + m + 27 = 0, -q*m = 4*n - 4*m + 18 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225 > -18.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-10)*12\/1. Let w(f) = f**2 - 2*f + 2. Is 11 a factor of w(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -4. Let h(t) = -t**2 + 2. Let q be h(r). Suppose -q*y = y. Solve y*j = -5*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - -4) + -11 - 40\/(-5). Solve -4*g + 24 = -5*z, p*g - 10 = -z + 3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.90144 and -0.5.\nAnswer: -0.45072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 253166 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18542290.\nAnswer: 2, 5, 13, 19, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 678*r - 3105 - 2319 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, c: 1, b: 1, p: 1}. Give prob of picking 4 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 51*r**2 + 65*r + 1701. Determine s(49).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 125 - 120 = 0. Let m = -81 + 90. Suppose -6672 = -m*u - 7*u. What is the remainder when u is divided by h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 5*y = 29, -5*r + 2 = 3*y - 1. Let s(f) = -2 - 4*f**2 + 2*f**3 + 5*f - 3*f**3 + 5. Let p be s(-5). Solve -4*v - 6 = -p*t, -t = r*v - 2 - 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1*3*sqrt(2) - sqrt(6)\/(sqrt(21)\/sqrt(7))).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((35\/105)\/(2\/184))\/(13\/((-195)\/10))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**4 + g**2 - g - 1. Let w(f) = 8*f**4 - f**2 + f + 8. Let h(q) = 3*k(q) + 3*w(q). Find the first derivative of h(x) wrt x.\nAnswer: 108*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*r + 2 + 650, 0 = -5*r - 5*k + 1610. Suppose -2 = -f, -4*f - r - 180 = -4*a. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -168509 and -64.\nAnswer: -168573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -23. Let n = g + -12. What is the nearest to n in 1, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 100\/1464*1 - (138\/36)\/23. Which is the third smallest value? (a) 10 (b) q (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 19. Let a(r) = -2*r**2 + 4*r. Let c(g) = 5*g**2 - 9*g. Calculate m*a(l) + 4*c(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 5*r - 4. Let z be d(-3). Let m = 222 + -224. What is the closest to -69 in -0.2, z, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -231 + 236. What is the third smallest value in 1\/4, n, 11\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12045 (base 6) to base 7.\nAnswer: -5060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5.238018mm?\nAnswer: 0.5238018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -824*c**2 - 5761*c + 41. Determine y(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -77?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*i + 8 + 7 = 0, t = 4*i - 10. Suppose 0 = -t*r - y + 118, 0*y + 184 = 3*r - 2*y. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 2 + 10. Suppose 3*z - 8 = -s, 0 = -4*s + s + 4*z - 28. Let x be -2 - ((a - s) + -2). Solve -g + 2 - 7 = x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3467, 6879, 10301, 13739, 17199, 20687, 24209?\nAnswer: 27771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245711?\nAnswer: 245711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.2721784 times -4\nAnswer: 1.0887136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 3:31 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 529.5413t in milligrams?\nAnswer: 529541300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/15889 + -31784\/47667. Sort -10, 3\/2, y in ascending order.\nAnswer: -10, y, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31.65579 + 31.67. Round k to three decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1296 = -57*v - 42. Solve 8 = -7*u + v for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**3 + n - 73. Determine c(0).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4041568 by 2020784.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 692.83199 rounded to the nearest 10?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 194.3122 litres in millilitres?\nAnswer: 194312.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0007836818 rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*y + 10. What is the highest common factor of 27 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -827919 and -0.63.\nAnswer: 521588.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -105\/19 - -3269\/38. Let h = 2419\/30 - z. Let r = -112741 - -112742. Which is smaller: h or r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -47. What is the least common multiple of q and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -438 divided by -32?\nAnswer: 219\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 151881.21ns in hours?\nAnswer: 0.000000042189225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*g - 33*g = -820 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i. Let u(s) = -3*s**2 + 17*s - 6. Let t be u(5). Let l(k) = -5*k - 1. Let b(d) = 10*d + 2. Let q(y) = -3*b(y) - 5*l(y). Calculate t*w(g) - q(g).\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 5. Suppose 0 = -36*o + 19*o + 1734. Calculate the lowest common multiple of o and q.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88105960.\nAnswer: 2, 5, 61, 36109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 5*w - 5, 0 = -3*r + 10122*w - 10126*w + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716 is divided by 257.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 5*v**3\/3 - 2*v**2 - 9*v - 1. Let t(p) = p**2 - p - 2. Let b(l) = 2*d(l) - 9*t(l). List the prime factors of b(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 8543*w + 13. Let b be l(-14). Let x = -20589 - b. Round x to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.001 and 0.048818.\nAnswer: -0.000048818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/(-6)*92\/161\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5564558*l**6 - 4*l**2 + 308*l - 361?\nAnswer: 667746960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2584 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4719)*1 - sqrt(39)) + (sqrt(390)\/(sqrt(10) - sqrt(360)) - sqrt(39)) + sqrt(39))\/((sqrt(3) - (sqrt(3) - 4*sqrt(27))) + sqrt(132)\/sqrt(11)).\nAnswer: 7*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aazzfzfofa. What is prob of sequence zza?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9034599 to the power of 1\/3, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of n**4\/4 - 8*n**3\/3 + 4*n**2 - 3*n - 1. Calculate the remainder when 9 is divided by z(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*80\/12*63\/84?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -334349?\nAnswer: 334351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1826 - -5?\nAnswer: -1821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/58170180 and -77\/10?\nAnswer: 58170180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*m**2 - 22*m**2 - 29*m**2 + 70*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -142503 + -3?\nAnswer: -142510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5678666911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2033? (a) -0.08 (b) 28 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 11*c**2 + 5. What is m(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -1a76?\nAnswer: 1a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 924785295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = s - 17, -v + 2*v - 37 = -3*s. Calculate the remainder when 119 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68 + -69 - (4 - (4 + 5)) - (70 - 1)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 1400 = -11*q. Let r be (-1 - (-1 - -3)) + q\/8. Let j = r - 3203\/168. Is -1 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 192861, 1, 4, 17 in increasing order.\nAnswer: 1, 4, 17, 192861","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44819261.\nAnswer: 157, 285473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 89*a**2 - 5*a - 1. Does 42 divide x(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 5\/446, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1485*l = -101640 + 3630 for l.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2130340 and 5046.\nAnswer: 185339580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -220 - -14?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 285 = 4*k, k + 275 = 5*k + r. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 26 - 28 + 2*r.\nAnswer: 2*r + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-7) - (-267)\/(-21). Let z = 29 + x. Let n be (-930)\/8*z\/6. What is n rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a - 40. Determine u(-5).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 64914*b**3 + 83*b**2 - 13601882.\nAnswer: 194742*b**2 + 166*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wpfp when four letters picked without replacement from dwfwzpwwfpwfw?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 8*c - 8. Let w be n(-6). Does 15 divide (-1*w)\/(1\/(15*-10))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/52 and -16\/28055865?\nAnswer: 1458904980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 4*d = -20, -7*d - 20 = -v - 11*d for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 16*u**2 + 17*u + 44. Let g be c(-15). Suppose 0 = 5*j - 5, -g*a + 15*a + 5*j = 36. What is the remainder when 151 is divided by a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r - 8*r + 32. Solve -5*q = -13 - r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**2 - 19673*i**4 + 19670*i**4 + 4*i**2 - 2 + (6*i**3 - 3*i**3 - 4*i**3)*(0*i - i + 0*i).\nAnswer: -2*i**4 + 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -465.1 + 465.10004078. Round g to six dps.\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 11) to base 12.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -103 - -102.43. Let f = -0.03 + n. Which is smaller: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -78 - -165. Let v = -95 + t. Which is the nearest to -1\/4? (a) v (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1602 + 36 = -18*f. What is the least common multiple of 33 and f?\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/48*2*1. Let t be 38\/5 + (357 - 364). Sort 3, t, y, 1\/2 in increasing order.\nAnswer: y, 1\/2, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -10713\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -23?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3072 - 3068. Solve j + f*g + 11 = 0, -39*j - 5 = -36*j + 5*g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 + 0.03. Let l = -0.36 + v. Let g = -15 + 16. What is the third biggest value in -2\/11, g, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6804567147725575\/77496 + 87805398315. Let b = 4\/10621 + -2295\/34295209. Let s = b - z. Find the common denominator of s and -75\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, x: 2, d: 8, u: 1, o: 1}. Give prob of picking 1 u and 3 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*x - 31*x - 2*x)*(4*x - 5*x + 0*x).\nAnswer: 52*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 13) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 3 - 9. Let d = 43\/5 + w. Let z(t) = t**2 + 2*t - 1. Let v be z(-3). Which is smaller: v or d?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 12 = -2*k, -2*k + 308*a - 2 = 304*a + 20 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 5*v + 1, -2*v - 14 = -3*j + 3*v for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8319 and 22361.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**3 + 2*l**2. Suppose -n = 2 + 1. Let i(o) = -o**3 + o**2. Let h = -4 + 6. Let v(q) = h*j(q) + n*i(q). Find the third derivative of v(w) wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -8 and -18.9528929144.\nAnswer: -26.9528929144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 0*g + 0 - 1\/6*g**4 + 4*g**2 + 1\/2*g**3. Let z be w(-4). Calculate the greatest common divisor of 19 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 47184*a**6 + 52*a**2 - 2 wrt a.\nAnswer: 5662080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.55, 0, -86?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32147.\nAnswer: 17, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 1 - 12*o**3 - 10.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jyyjyjyuvjjjjy. Give prob of picking 1 v and 1 y.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j**3 + 97*j**2 - 47*j + 170. Determine a(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**2 + 12*k + 29. Determine w(14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3998 + -3926. Solve -39*h + y*h = 99 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54446*-61.\nAnswer: 3321206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-109))\/(11*(-10)\/(-220)). Is 0 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.1 (b) 1\/327 (c) 2 (d) 3 (e) 2.8 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 5*j - 10. Suppose j*l + 5 = l. Let i(o) = o. Let r(g) = -5*g - 4. Let b(y) = -3*i(y) - r(y). Calculate b(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -381 + -472?\nAnswer: -853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + -2 - -4)\/((-7)\/7). Solve 2*b + 5*p - 14 = y, -b + 0*p + 5*p = 23 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 5:00 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -0.1, 1.3, 2\/35, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1*sqrt(325) - sqrt(325)))**2 + (5*sqrt(325) + 5)**2 - (((sqrt(325) + 0)*-2 - (sqrt(325) + (2*sqrt(325) + sqrt(325))**2*-3)) + 2).\nAnswer: 682 + 205*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26 - 66939?\nAnswer: -66913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19890 and 3?\nAnswer: 19890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 14 = -2*f, 5*f - i = -17 - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hivk when four letters picked without replacement from mmvkhmiikviipikkikii?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**3 + s**2 - s**2)*(-65 + 170 - 12*s**2 + 33).\nAnswer: 24*s**5 - 276*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m + 3 - 3)*(-55 - 38 + 1 + (-3 + 3 - 2)*(1 + 2 - 5) + 2 - 2 + 3) in the form q + p*m and give p.\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 305\/933 - -2\/311. Which is the nearest to -2\/5? (a) 2\/3 (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5272547?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w + 20. Determine u(3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-300)\/(-80))\/(-15)*-713156*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 0*v - 3*v + 867, b = 5*v + 179. Let t be (b\/(-18))\/(1\/(-3)). Let u = t - 24. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-4 + 11 + -25 - (-95 - -88)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30816 - 4270 = -13*c. Let x = -1311 - c. Is x a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-19)\/(323\/102) + 3\/((-6)\/(-412)). Solve 0 = -50*p + 10*p + b for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54790 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473805096?\nAnswer: 2, 3, 17, 68311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 357 and 13555433.\nAnswer: 13555790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 8. Let t be u(7). Suppose -26*p - 18 = -252. What is the highest common divisor of p and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -372a + 37?\nAnswer: -36f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/96)\/(-173 - 222794\/(-1287))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**4 + 6*w**4 - w**4 + (-4*w**2 - 2*w**2 + 0*w**2)*(2*w - 2*w - 2*w**2) - 3*w**4 + 5*w**4 - 3*w**4.\nAnswer: 13*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4641*v**2 + 9316*v**2 - 8 + 8 - 4651*v**2.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 62694 divided by -3\nAnswer: -20898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-6*sqrt(2057)*-2)**2.\nAnswer: -1184832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-12)\/((-432)\/42) - 0)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.836 + -0.7. Let n = m + -0.135882. What is n rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159.00945 months in millennia?\nAnswer: 0.0132507875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2780564160?\nAnswer: 2, 3, 5, 11, 73, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w - 25*w + 144 = 0. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 6*s + 3*x - 4 = 0, 3*s + 3*x - 6 = 0. Let j(q) = -8*q - 6. Let g(y) = -y - 1. What is s*j(k) + 14*g(k)?\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31*(-174)\/(-8091)*(-54)\/2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12\/11 + 59\/44. Let q(h) = 3*h**2 + 7*h + 4. Let t be q(-3). Suppose 14 + 6 = t*p. Which is the smallest value? (a) o (b) p (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 13552 - 5461. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*c + 36 = -41*c - 0*j - 4*j, -2*j = 2 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v - 73662 + 95612 - 21950.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 divided by -48699?\nAnswer: 61\/48699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h**2 + 11*h**2 - 21*h**2 + 9*h**2.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a century in decades?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - 15 = -14*t. Suppose -4*k - 2*u = 0, u = t*k - 1 - 4. Let n(i) = -3*i - 1. Let s(d) = -d - 1. Determine k*n(b) - 2*s(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 731 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -7\/367188?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8913 and -3905.\nAnswer: -34805265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/1004172 and 137\/127920?\nAnswer: 20083440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-140)\/21)\/(-10))\/(-1). Let w = 3 - 2. Which is the nearest to 7? (a) 1\/5 (b) v (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-2\/9)\/h)*h*h**4)\/(h**1)**(-20) assuming h is positive.\nAnswer: h**(245\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 15. Suppose a*g = g - 117. Let u(i) = -117 + g + 4*i**2. Let z(j) = -j. What is z(u(v))?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -9041.13\nAnswer: -9039.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51030 and 630.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 7*v**2 + 0*v**2 + 0*v**2 - 1. Suppose g - 1 = 3*i, 3*g + 4*i + 10 = -13. Let j(t) = 6*t**2 - t + 1. What is g*j(f) - 4*n(f)?\nAnswer: -2*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 25*t**4 + 46*t**3\/3 - 3*t**2\/2 + 271. What is the third derivative of p(d) wrt d?\nAnswer: 600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17777024?\nAnswer: 2, 138883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1606080 divided by 5.\nAnswer: 321216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/(-2) - 2)*1. Let p(y) be the second derivative of -y**5\/20 + 7*y**4\/12 + 2*y**3\/3 + y**2\/2 - 11*y. List the prime factors of p(r).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263*a - 1583 = 258. Let j(i) = -7*i**2 - 14*i - 6. Let o(k) = -8*k**2 - 15*k - 6. Suppose 5*m + 25 = -5. Let l(d) = m*o(d) + 7*j(d). Give l(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (0 + 7 + -7 + -3 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -2953, 1, -2, 3, -5, -1 in descending order.\nAnswer: 14, 3, 1, -1, -2, -5, -2953","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-11)*286*98\/5096?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qvaqvvvqaaavavvaaa. What is prob of picking 2 q and 1 a?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c - 15. Let l(z) = -z**2 + 31*z + 61. Let y be l(-2). Calculate j(y).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - 30 = 5*f. Let i(h) = -1 - 3 - 134*h - 2. Is i(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/5 - 94*p**2\/5 - 8*p\/5 + 376\/5.\nAnswer: 2*(p - 47)*(p - 2)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536433 is divided by 267771.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 28904 = 106*r. Calculate the remainder when 2992 is divided by r.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 + v**2 + v**2 - 3*v**2. Let q(c) be the second derivative of -c**4\/12 - 3*c. Determine k(q(l)).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3) + 3 - (8 + -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 0) + (-3 - 2 - 14) + 9.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76477.93cm to kilometers.\nAnswer: 0.7647793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 658125 and 3451500.\nAnswer: 155317500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/69564 and 149\/54.\nAnswer: 626076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.037 + 0.237. Which is smaller: 8 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 438 - 291. Is 245\/v - 5437\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - -9. Suppose -5*k + l = -y, -4*k = -0*l + 2*l - 2. Solve 5*b + k = -4*j, 0*j = 2*b - 5*j + 21 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 770 and 98868?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301 (base 5) to base 12.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/3 + 1582\/(-3). Let u = 4213\/8 + o. What is the common denominator of -133\/12 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**5 - 60*c**4 - 5706*c**3 - c**2 - 1820337*c + 2 wrt c.\nAnswer: 120*c**2 - 1440*c - 34236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451771 is divided by 213?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**3 - 9*m**2 + 6*m - 1. Let u(q) = q**2 + q - 1. Let h(k) = -b(k) + u(k). Solve h(s) = 0 for s.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 16 = 44. Let g = 8 + -8. Suppose g*s + 55 = x - 2*s, 0 = -2*x - 4*s + 118. Calculate the remainder when x is divided by o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-480)\/128 + (-21)\/84\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 15) to base 13\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -6. Which is greater: a or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(4\/21))\/o*o**17*o assuming o is positive.\nAnswer: o**(403\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 88120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f + 3. Let k be x(4). Let m = -157 - -157.4. Let i = 1\/544 + -65\/544. Sort m, k, i in ascending order.\nAnswer: k, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 3:30 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(25) + sqrt(50)\/sqrt(2))*-1*-1)\/(sqrt(960)\/sqrt(3) + (sqrt(5) - 3*sqrt(5)*-2)).\nAnswer: -2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2168.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 0, 5, 4247036.\nAnswer: -5, -4, 0, 5, 4247036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lmr when three letters picked without replacement from dmllr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u. Let i be w(2). Let p be ((-1)\/1)\/(-1) + -2. Let q = p - -23. Solve i*z + 3*f - 1 = -q, z + f + 8 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1944442044 to the nearest integer?\nAnswer: 44096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 19*i**8\/20160 - i**5\/15 - i**3\/2 + 4*i**2 - 1. Let x(l) be the third derivative of v(l). Let m(d) = 2*d**2. What is x(m(q))?\nAnswer: 76*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 3*u = 11, -3*u = 22*c - 36*c + 23*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 733455937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**3*l*l**10*l)\/(l*l\/(l**(3\/2)\/l*l)*l\/l**(4\/13)))**7 assuming l is positive.\nAnswer: l**(1785\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 - -889\/11. Let w(x) = x - 1. Let o be w(1). Suppose 20 = -o*z - 4*z. Which is the second biggest value? (a) 0.2 (b) z (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28\/9 or 1.5?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27014 - 27019. Which is the nearest to 34? (a) 2\/27 (b) 2\/13 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5079968767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 7:12 AM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -492\/43 or -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -0.3, -1, 1469, -4, 9 in increasing order.\nAnswer: -4, -1, -0.3, -0.1, 9, 1469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001272 rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.572165 nanometers in meters?\nAnswer: 0.000000002572165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38657 is divided by 38647?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3463 is divided by 53?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 244 and 4540?\nAnswer: 276940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - z + 3 = -17, 4*j = 2*z - 24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -132*t - 6703. Let a(y) = -463*y - 20110. Give -2*a(w) + 7*z(w).\nAnswer: 2*w - 6701","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aw when two letters picked without replacement from {e: 2, w: 4, a: 9, d: 3}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 + 13*a**2 + 3*a - 23. Let l be z(-6). Suppose 0 = 2*y + y, 5*o + y = 40. Sort 4, o, l in descending order.\nAnswer: o, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-1))\/((0 - 3)\/(-12)). Suppose -j*v + 228 = -1416. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17399, -34792, -52185?\n\"Answer: -17393*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y**3 + 2*y**2 + y. Let n be v(-1). Let z(u) = 10*u - 26. Let i be z(2). Sort n, i, -1 in descending order.\nAnswer: n, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 6 + 17*u**3 + 15.\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1156.3 + 1154. What is the nearest to -2\/3 in -3, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 32.\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6363.381 litres to millilitres.\nAnswer: 6363381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -3.2. Let m = s + -0.3. Let g = 15 - 19. Which is the third smallest value? (a) m (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3 + 8*p**2 + 11*p**2 - 6*p**2 + 3*p - 11*p**2. Let o = -7 - -9. Give y(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 7 - 2 = 11. Solve a + c*a + 4 = 2*w, w + 1 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) - sqrt(1900)*-1)*6 + 4*-3*sqrt(1900))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 10*c**2 - 10*c + 18. Let b be f(9). Suppose -10*s + b*s = -30. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00092679493 to six decimal places.\nAnswer: -0.000927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*i - 25*i - 7774*i**2 - 18*i - 20*i.\nAnswer: -7774*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/7 - 36\/(-126). Solve -25 - 24*b - b**3 - b**3 - 12*b**g + 9 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-5 + 8 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -351 + 302. Let j = -48.5 - l. Let w = -32\/87 - -1\/29. Which is the second biggest value? (a) w (b) 2\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3305 and 785268?\nAnswer: 3926340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(72\/62205) - 1. Let m = 3432 + z. Calculate the common denominator of m and -151\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**10)\/g**(-2\/7))\/(g**(9\/7)*g**(10\/7)) assuming g is positive.\nAnswer: g**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-272)\/1056 - 2\/(-12).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 655236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11*v**3 + 0*v**3 + 2*v**3)*(-5646*v + 2 - 5 + 5885*v) to the form h*v**2 + c*v**3 + f*v + g*v**4 + o and give g.\nAnswer: -2151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 4:50 PM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d - 5. Let c be a(4). Let k be (-4)\/(((-32)\/(-6))\/(-4)). What is the third derivative of -6*m**c + 18*m**2 + 18*m**3 + k*m**2 wrt m?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1))**(3\/11)*(t**(-1))**31)\/(t**0*t**(-8))**(4\/27) assuming t is positive.\nAnswer: t**(-805\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, r: 3, f: 5, i: 3, k: 3}. What is prob of picking 1 k and 2 f?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -106 - (-104 + (76 - 35))\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 1750*m**3 + m**2 - 25*m - 7122. Let j(g) = 1751*g**3 + g**2 - 29*g - 7114. Let i(o) = -6*j(o) + 7*v(o). Differentiate i(c) wrt c.\nAnswer: 5232*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*z - z + 53 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -d**2\/2 - 12*d - 4. Let x = -60 - -54. Give v(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68.000188 - 68. Round f to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 85728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2, -21782, 30\/7 in descending order.\nAnswer: 30\/7, -5\/2, -21782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 2. Suppose 7*u - 96 = -u. Let x = u + -11. Calculate the remainder when n is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11153 + 11144. Let z(y) = 11*y**2 - 2*y + 7. Let t(b) = -b + 0*b**2 + 4*b**2 + 3 + b**2. Give n*t(f) + 4*z(f).\nAnswer: -f**2 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -240, -511, -1026, -1785?\nAnswer: -2788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 14 = -6*v + 2*v, 5*v - 13 = -3*b. Suppose -7*l + b*l = 2. Let h(a) = -a**3 + a**2 + a. Determine h(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -56*z + 28. Let r be m(15). Let s = -453 - r. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 28*y**2 + 70*y. Let q(l) = -12*l + 19*l - 123 - 5*l + 123. What is q(p(n))?\nAnswer: 56*n**2 + 140*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.36 - 1.52. Let t = -0.12 + m. Let g = 29\/2 - 14. Which is the closest to -1\/2? (a) t (b) g (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -35. Is 16 a factor of (356\/4 + 0\/(-4))\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4356 by 3.\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4074 and 84196.\nAnswer: 252588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -939*g = -925*g + q - 5, 41 = -4*g - 5*q for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -3*h**5\/160 + 47*h**4\/32 - 87*h**3\/16 - 405*h**2\/16 - 153*h + 5. Factor x(v).\nAnswer: -3*(v - 45)*(v - 3)*(v + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(2\/(-5)*(-35)\/(-1))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-19)\/h)\/((h\/(h\/h**(-12\/13)))\/h)*h**(9\/10)\/(h*h*(h*h**37*h)\/h*h) assuming h is positive.\nAnswer: h**(-7563\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 143200951 to the power of 1\/2, to the nearest integer?\nAnswer: 11967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 + 34356*z**2 - 206082*z + 309096.\nAnswer: -2*(z - 17172)*(z - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*k - 3*v + 7, 4*k = -5*v + 35. Let x be -7*-10*5\/35. Calculate the greatest common divisor of k and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31471 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -c**5\/2 + c**4\/2 + 11*c. What is the third derivative of a(j) wrt j?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - u + 6029, -2*s = -6*u + 9*u - 4010. Let w = s + -383. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - (2 - 1))*1. Suppose 6 + 10 = k*v + f, -f = 0. Calculate the remainder when 29 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 88648 + -49377. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 505 = -131*z - 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -9. Sort 0.5, a, 2\/5.\nAnswer: a, 2\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-114)\/21 + (-84)\/(-7) + -6.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3043\/2621 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.1 + 8.1. What is the smallest value in 2, k, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -0.5 (b) -2\/3 (c) -0.032 (d) -3 (e) -113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -402, -302, -26, 516, 1414, 2758, 4638, 7144?\nAnswer: 10366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 1. Let g(i) = i**2 - 6*i + 9. Let m(b) = -g(b) + 2*s(b). Let h be (-142)\/(-20) - (-6 - 183\/(-30)). Give m(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - r = 82. Let f = r + -80. Solve -5*s = 3*b - 1, 0*s + 2 = -f*s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**4 + 30*m**3 + 55*m**2 + 30*m = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11844.31815 seconds in weeks?\nAnswer: 0.019583859375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/3*f**4 + 94\/3*f**2 + 32*f**3 + 0*f + 0 = 0 for f.\nAnswer: -47, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of 4*p**3\/3 + p. Suppose -2*y + 1 = -y. List the prime factors of o(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3593 - -7794. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -4*w**5 - 980*w**4 + 4*w**3 + 980*w**2 = 0.\nAnswer: -245, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 87010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-44)\/(-2) + (-12)\/6. Let c be (4\/s - (-28)\/(-40))*-8. Let g be (2 - c\/(-8) - 2)*0. Solve o = -g + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*u - 3, 5*u + 3 - 2 = -w. Let f = -8.5 - -8.45. Let d = -7427.5 - -7428. Which is the second smallest value? (a) f (b) d (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54583*-0.5.\nAnswer: 27291.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.83481 weeks to milliseconds.\nAnswer: 21672893088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 29, 63, 95, 125?\n\"Answer: -f**2 + 37*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115105 is divided by 57087.\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**2\/3 + 140*i\/3 - 46 = 0 for i.\nAnswer: 1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - v = -21, 2*k = -9*v + 4*v + 1. Let a = -2\/61 - -191\/244. What is the biggest value in a, k, 3\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 4:24 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 393087192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4836.384um to millimeters.\nAnswer: 4.836384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -196*y**3 - 1763*y**2 + 101*y + 884. Give n(-9).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 516893 - 2*q**2 - 516893.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 14. Let j be d(11). Let k = 9 + j. Let s(c) = 30 - 30 + k*c**2. Let b(r) = -3*r**2. What is s(b(i))?\nAnswer: 54*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2960 = -7*n. What is the highest common factor of n and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 42, -4 in decreasing order.\nAnswer: 42, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 4*c - 18. Find the third derivative of -2*t + 2 - c*t**3 - 30*t**2 + 2*t - 11*t**4 + 9*t**2 wrt t.\nAnswer: -264*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*k**2 - 5*k**2 + 0*k**2 - 4*k**2 + 9*k**2.\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 7\/(-3))*18\/12. Sort 2, b, -4 in descending order.\nAnswer: 2, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 137 and 2.5358?\nAnswer: 134.4642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 1 - z**3 - 4*z + 9*z**2 + 0*z - 7. Let w be u(7). Suppose -m + 5*m = w. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13490624 divided by 210791\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 68? (a) 4 (b) 2 (c) 194 (d) 931 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2343872582 - 2343872582 - g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 12:09 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 11.333, -14.\nAnswer: -14, 1, 11.333","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*o - 0, -5*v - 3*o = -42. List the prime factors of 1\/(-3) + 93\/v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2\/2 + 2195*f\/2 + 43100 = 0. Calculate f.\nAnswer: -2155, -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.03*-0.914\nAnswer: -0.02742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7047895 != 0.042?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/31? (a) -31 (b) 4 (c) 10.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -12. Let g = -357 + 369. What is the greatest common factor of g and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17950177 * 0.5.\nAnswer: -8975088.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by (-48)\/(-64) + (-61)\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((56\/8)\/7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 11:53 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-837)\/(-186)*26\/36)\/(4\/(-16)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 11:22 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-20) + 3\/5*1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 12 = 0, -4*p - m + 35 = -6*m. Which is the nearest to -3? (a) p (b) 4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -u - 1, 3*j - 21 = u - 28 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4.3 (b) -0.5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 191295 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -66 - (16 + (6 - -1 - (36 + -16))).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1190973241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81120056 by 4607.\nAnswer: 17608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1021 + 2198159.\nAnswer: 2199180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 36452?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-3 - -5) - 0 - (27 - (46 + -22)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.04 + 0.04. Let q = j + 4.2. Let x = 4.9433 + 0.0567. What is the second biggest value in q, 3, x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**2 - 7*h**2 + 224*h**2 + 1033*h**2.\nAnswer: 1242*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.39763 rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2100 is divided by 569?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 17 = -49. Suppose 0 = -2*c + u*c + j - 276, -2*c + 5*j + 300 = 0. List the prime factors of c.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -31*o**4\/4 + o + 14. What is the derivative of n(k) wrt k?\nAnswer: -93*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 take away 2874873.86?\nAnswer: -2874853.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -43 and -1921.5.\nAnswer: 82624.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 57464 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7*s*s*s\/s**(-5))**(4\/15) assuming s is positive.\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven fifths of a centimeter?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(468) - (sqrt(468) + -6*(sqrt(468) + sqrt(468) + 0) + sqrt(468)))**2 - (((sqrt(78) - sqrt(78)*-2)*-3 + sqrt(78))\/(sqrt(726)*1))**2.\nAnswer: 6851156\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 1565 = 1544 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**5 - l**3 + l**2 - l + 1. Let i(r) be the third derivative of -r**6\/40 + r**5\/60 + r**3\/6 - 6*r**2. Let c(s) = 2*i(s) - 2*t(s). Factor c(a).\nAnswer: 2*a*(a - 1)**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*w - 5*i, 2*w = 4*i - 5*i + 3. Let z(d) = -d**2 - 205 + w*d + 205 + 35*d**3. What is the units digit of z(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*d**2 + 26 - 11 - 15)*(d + 2*d - 5*d)*(-95 + 71*d + 95).\nAnswer: -1846*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b**3 + 4 - 5 + 2. Let o(v) = -5*v**3 + 1. Let j(r) = r**2 - 2*r - 2. Let h be j(2). Let u be ((-3)\/h)\/(6\/(-12)). Determine u*i(y) + 4*o(y).\nAnswer: -2*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -52*v**3 - 1. Let z = 7 - 8. Let u be a(z). Let f be -2 + 5 + u\/(-15). What is the biggest value in 0.2, -0.3, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 694189?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.4*21.961.\nAnswer: 30.7454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -395064 divided by 354\nAnswer: -1116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 13*z**2 - 4*z + 31. Let c(m) = -15*m - 2. Let s be c(-1). Let y be v(s). Is 329*((-6)\/y - 10\/(-14)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -939 less than -1017?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, e: 2, k: 5}. Give prob of sequence dde.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7725459925?\nAnswer: 5, 309018397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 136084\/7 + -16330801\/840. Calculate the common denominator of -9\/80 and v.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(0*j - j + 3*j)*(1 - 7*j + 1 + 13*j).\nAnswer: -12*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -45.8595.\nAnswer: 18.3438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6*3\/(-243))\/(9\/(90\/20)). Let a(c) be the second derivative of 15*c + 0 + 0*c**2 + 1\/9*c**3 - 1\/90*c**5 + i*c**4. Factor a(x).\nAnswer: -2*x*(x - 3)*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d = 16*d + 230. Let c be d\/132 - (-2)\/12. Let x = -0.4 - 0. Sort 1, c, x.\nAnswer: x, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**3\/3 + 5*r**2 - 5*r - 5. Let d be z(9). Let i(n) = -n**2 + 6*n + 2. What is the units digit of i(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/439 at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**4 + f**3 - 11*f**2 + 11*f**2 + (-2 + 3 + 2)*(2*f**3 - f**4 - 2*f**3).\nAnswer: f**4 + f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((((g\/(g*g*(g**(-3\/2)*g)\/g))\/g)\/g)\/g*g*g))\/g*g*g**(-2\/11)*((g\/g**(-1))\/g)**(2\/59) assuming g is positive.\nAnswer: g**(1755\/1298)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1217 divided by 15.\nAnswer: -1217\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 19672*t**3 + 3*t**2 + 6*t - 8. Is z(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 l when three letters picked without replacement from lggla.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2240 + 2241. Sort d, -2, 8, -4.\nAnswer: -4, -2, d, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*n = 4*p + 70*n - 23, 5*n - 1 = -p. Suppose -3*c + 7 = -2*m, -73*c + 3*m - p = -74*c. Suppose 82\/9*q**2 + 70\/9*q**c - 16\/9 - 4\/9*q = 0. Calculate q.\nAnswer: -1, -4\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = 2*i - 41 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 125\/(-50)*4\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 401391941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2197 + 2202. Solve -y*c - 99 + 94 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -32*y**2. Let d(p) be the second derivative of 22*p**3\/3 + p - 1511. Give d(c(o)).\nAnswer: -1408*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 - -1143141.\nAnswer: 1143138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 1)*(-1 + 3 - 4)*(-4*y + 5*y - 3*y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 9 - 4*s**3 - 9.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3909808 by -4987.\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 120\/(-390)*26\/20. Let n = 8 + -50. Let p be (-1)\/(-3) + 2\/n. Which is the third smallest value? (a) z (b) 0.2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32274 and 1782242?\nAnswer: 3586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/67704 and 109\/2730.\nAnswer: 338520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/54*(76\/88 + -1).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -247\/6315 bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-51)\/(-45)*-3 - 3\/5. Let c(l) = -254*l**3 + 325*l. Let n(g) = -85*g**3 + 108*g. Let k(q) = m*c(q) + 11*n(q). Find the second derivative of k(u) wrt u.\nAnswer: 486*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-4)\/(-8)) - (3 - -108). Let d = -78 - p. What is the greatest common divisor of 248 and d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**3\/3 - 4*z**2 + 10*z - 5. Let n be s(7). Differentiate -n - 12*f - 4 + 4*f + 3*f with respect to f.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 180 (b) -114 (c) -0.1 (d) -9 (e) 1 (f) -11 (g) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-408)\/34*8\/4.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3570513 and -278.6?\nAnswer: 3570791.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r - 7. Let o be i(-5). Suppose -2*p = -o*f + 6 - 2, 0 = -p + 3*f - 5. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59829 = -2628*m + 3405*m for m.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (-30)\/4*44\/(-33). Let n = -58 + 54. Let z(t) = -4*t - 14. Let h be z(n). Solve -2*g - h = -d for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**2 + 1\/24*p**4 + 0*p**3 + 0*p + 0. Let v(c) = 926*c + 929*c - 3634*c + 936*c + 844*c - 7. Calculate q(v(m)).\nAnswer: m - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 274287, 274288, 274289?\n\"Answer: v + 274286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 42*(-1)\/(-10) - (-1)\/(-5). What is the third derivative of -4*s + 2*s**3 + t*s - 9*s**2 - 4*s**3 wrt s?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 2*n + 5. Let r be l(5). Let b be (4\/8)\/((-3)\/r). Suppose 3*w - 14 + b = 0. Calculate the highest common factor of w and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400069?\nAnswer: 400069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -1650?\nAnswer: 1\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 122.8 and -2.\nAnswer: -245.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fg when two letters picked without replacement from nfngm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, 1, 19, -7 in descending order.\nAnswer: 19, 1, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-4)*(-46 + 48). Which is smaller: j or -1\/78?\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 w when two letters picked without replacement from opgmpbggpgwgmmpg.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -379680 divided by 791?\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5143 - -6396. Calculate the highest common factor of 14 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*(-5)\/((-170)\/(-357))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 44, -0.3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, q: 2, s: 3, n: 1}. What is prob of picking 4 c?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: 21311 divided by 29\nAnswer: 21311\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -32 times -85\nAnswer: 2720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/2 - 171*d + 55965\/2.\nAnswer: -3*(d - 91)*(d + 205)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 + -21?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -95.\nAnswer: 760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165975 is divided by 639?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -d**2 + 6*d + 1. Suppose 10 = 5*z - 0*z. Suppose -5*o + 21 = -z*w, 0*o - 18 = -2*o - 4*w. Calculate j(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 48277*i + 1400130. What is z(-29)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**3 - 13862*a**2 - 106113*a - 64582 = 0. What is a?\nAnswer: -4613, -7, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c362 (base 13) to base 6.\nAnswer: 2225242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 8*f**2 - 10*f - 3. Suppose -2*r = r + 21. Calculate the lowest common multiple of 16 and z(r).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -894*c + 896*c. Let b(u) = -u**2 - u + 3. Let n be b(0). Let f(z) = z**3 - n*z**2 - 2 - 3 + 5*z - 3*z**2. What is f(c)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1))**(11\/3)*(j*(j**3*j)\/j)\/j**(-6) assuming j is positive.\nAnswer: j**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11766 is divided by 2605.\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 107694.662731.\nAnswer: 107694.662731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*a + 82*a + 75*a = -1182730. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12315989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*sqrt(2) + 0)**2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 9*p**2 - 22*p - 28. Determine g(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - 2285.\nAnswer: -2270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-21)\/(-14))\/((2 - 0)\/1028). Suppose -30*i - w = -31*i. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1044993644*f**3*t**2 - 1531*f**2 + t**2 + 25836 wrt f.\nAnswer: 6269961864*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 - 61. Let v(r) = 3*r**3 + 3*r**2 - 17*r + 5. Is v(o) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from {q: 6, x: 3, i: 4}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -66582 divided by 1\nAnswer: -66582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 634 - 1297 + 613 + 8*l - 7*l**3 - l**2 + l**2 as z + r*l**2 + b*l + u*l**3 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 1942 = 1932 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h + 45. Suppose -1 = -o + 3, 24 = 2*n - 4*o. Let k be v(n). Suppose 0 = -k*i - 4*w + 385, 2*w = -4*i + w + 297. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.86 + 36.14. Which is smaller: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2358 and 1310.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5721 - 5722. Is s less than or equal to -12\/4457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 18 + -22 + 11 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + f**2 + 3*f**4 + (2*f - 2*f + f)*(3*f**2 - 3*f**2 - 2*f**3) + 4*f**4 - 6*f**4 + 3*f**4 - 3.\nAnswer: 2*f**4 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 8 = -5*a, -5*z + 7 = a - 0*z. Sort -1, a, -34 in ascending order.\nAnswer: -34, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268*u + 261*u + 28 = 0. Which is the third biggest value? (a) -1 (b) u (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y - 1336 = -7*y - 4157. What is the remainder when 1219 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -910\/61, 5, 2\/113, 2\/3, -11, 0.4?\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254950780500*d**2 - 2258100*d + 5 = 0 for d.\nAnswer: 1\/225810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 554254520 divided by -2577928.\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-20)\/(-6)*13\/(130\/315). Let d = s + -109. Let u(q) = -15*q - 18. Let w be u(d). What is the highest common divisor of w and 462?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 136 + -131. Let w(h) = -h + 70. Let y be w(0). Suppose -5*d = 5*m - y, -14 = -j*d + 6. Calculate the remainder when 37 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3*q*s - g**3*q - 26*g**2*q*s - g*q + 7*q*s - 18*s wrt g.\nAnswer: 12*g*q*s - 6*g*q - 52*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51750?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (28 - 12)\/(2\/100). Round n to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - i = -2763 + 13277, 4203 = 2*w - 3*i. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3\/5 - 9*v**2\/5 + 27*v\/5 - 3.\nAnswer: -3*(v - 1)**2*(v + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117 - 6*j - 225 - 306*j**2 + 107.\nAnswer: -306*j**2 - 6*j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, b: 3, y: 5, o: 2, n: 8}. Give prob of picking 1 y, 1 c, and 1 b.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(2156)*-2 + sqrt(2156) + sqrt(2156) + sqrt(2156)*1*6 + sqrt(2156) + sqrt(2156))\/(sqrt(4) - -1*sqrt(144) - sqrt(44)\/(sqrt(66)\/sqrt(6))) + -1.\nAnswer: -7*sqrt(11)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -219*t**5\/5 - 777*t**3\/2 + 1385*t**2 - 1. What is the first derivative of i(f) wrt f?\nAnswer: -5256*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2270 - 40903\/18. Let w be (-542756)\/(-40)*3\/(-2). Let t = w + 20348. Calculate the common denominator of g and t.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 342 and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -10\/13 (b) -0.4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 + -27. Let a(v) = -v**2 + 11*v - 9. Determine a(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 10:52 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*2*(-1 + 2*sqrt(117))*-1*1)**2.\nAnswer: -27648*sqrt(13) + 1080576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 218571 by -152.\nAnswer: -218571\/152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 - 23836*v**2 - 70250466*v + 4594186368.\nAnswer: -2*(v - 64)*(v + 5991)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from ilkiiiliiiiliiikikil.\nAnswer: 39\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 107537*x**2 + 107532*x**2 - 1.\nAnswer: -5*x**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 16 = -h. Let j be ((-1)\/(-2))\/((-2)\/h). Suppose 0 = 2*k + 2*o + 4, 3*o - 1 = -13. Solve -j = -k*b - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -118*x**2 - 2*x + 4. Let c(p) = -11*p**2 - 1. Give a(c(k)).\nAnswer: -14278*k**4 - 2574*k**2 - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/(-8))\/(90\/(-980)) and 13\/21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 184 = 5*u, -3*u - 4*n - 31 = -153. Calculate the remainder when u is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millimeter in micrometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20814 (base 9) to base 11\nAnswer: a3a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4284\/126*1\/2?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 8*u**2 + 15*u - 11. Is n(-10) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 168*x - 31. What are the prime factors of j(-44)?\nAnswer: 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 - 167864*p**2 + 2*p + 167864.\nAnswer: -2*(p - 1)*(p + 1)*(p + 83932)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuwiiiiuiugiuuiiuwi. What is prob of sequence ww?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1502*(891\/(-42))\/(-27) - (-2)\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*o + 43 - 7. Let v(s) = 20*s**2 - 2*s - 1. Is v(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -39.58833, -2\/5 in decreasing order.\nAnswer: -2\/5, -1, -2, -39.58833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1914019951 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -12*w - 122. What is the remainder when 84 is divided by r(-14)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 9. Let c = 8 + -3. Suppose d = 2*m + 22, 24 = 4*d + 5*m - 25. Solve c*h - 2*t - 24 = 0, 0*t = -2*h + w*t + d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1*sqrt(162))\/sqrt(6))\/sqrt(9).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4926 = -3*s - 3*n, -4*s - 5*n = -8978 + 2407. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 110.68 to 0 dps.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**3\/6 - 7*g**2\/6 + 8*g\/3 - 2 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 15) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 210032755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.001 or 1?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87854861 to the nearest integer?\nAnswer: 9373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p**3 + 2*p**2 - 2*p + 1. Let o be y(1). Let d be 1\/(o\/(1*24)). Let b(a) = -a. Is b(d) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001001011 - -110010100110?\nAnswer: 11001011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 2 + 0*b - 1\/2*b**2. Let w(n) = -2*n**2. Determine w(g(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 12 = 4*m. Let s be m\/(-3 - -6)*91. What are the prime factors of (-651)\/s + (-2)\/13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-430)\/(-55) + -8 + (-68)\/(-1309)*-959.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*s**2 + 0)*(-100*s + 100*s + 35*s**2).\nAnswer: 70*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**3 + 10*r - 6. Let m(z) be the first derivative of -z**4\/4 - z - 1528. Determine -j(x) + 6*m(x).\nAnswer: -2*x**3 - 10*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35954 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 338\/435 + 2\/87. What is the nearest to 1\/4 in 4, -1.2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-4) + -4)*-14. Let w = n + -9. Let g = -29 + w. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59643 to the power of 1\/2, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 7. Let r be 0\/(((-8)\/(-2))\/d). Suppose -l + r*l = -1, 18 = 2*y + 4*l. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**4 + 0 - 2222*k**2 + 2225*k**2 + 2*k + 10*k**3 + 2 as b*k**4 + a + z*k + g*k**3 + u*k**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37758282 a multiple of 1245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-93)\/2511 - (-875)\/5400. Factor -5\/8*u**2 + b*u**3 + 7\/8*u - 3\/8.\nAnswer: (u - 3)*(u - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2160*-218.9\nAnswer: -472824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**3 + 235*c**2 + 3*c - 62. Let t(p) = -p**3 + p - 2. Let r(x) = 4*t(x) - u(x). What is the second derivative of r(m) wrt m?\nAnswer: -12*m - 470","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 13*w - 10 + 7)*(-w**2 + w**2 - 2*w**3) in the form v*w**3 + u*w**2 + l + y*w + r*w**4 and give r.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**5\/30 + b**4\/24 - 7*b**3\/2 + 4*b. Let q(u) be the second derivative of o(u). Calculate q(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2220*z**3 - 119049*z**2 + 119049*z**2)*(-2 + 0 + 0).\nAnswer: 4440*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 - 30. Let l = 9 + n. Which is the nearest to l? (a) 5 (b) -4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14419605 less than or equal to 14419604?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 817846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + c. Let v(i) = 97*i - 3398. Let j be v(35). Let k(y) = -9*y**3 - y**2 + 3*y. Determine j*q(p) + k(p).\nAnswer: -9*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from teennnevntnjvnncennc. Give prob of sequence tnvv.\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3565 + -3565.0099975. Let f = 0.01 + p. What is f rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1402, -1524, -1646, -1768, -1890, -2012?\n\"Answer: -122*o - 1280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 262 and 460386 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*g = -21. Let j = 31 - g. Let k(z) = 3*z - 24. Let t be k(10). Solve 4*n + 5*o = j, -2*n = 4*o - 3*o - t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -0.441, 0, -5 in decreasing order.\nAnswer: 2\/11, 0, -0.441, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 24*p**2 + 6*p - 7. Suppose 0 = -7*u + 17*u - 20. Let v be r(u). Does 5 divide 4\/(-10) + 6\/15*v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(sqrt(10) - (sqrt(90)*-1)\/sqrt(9)) - (-4 + 4 + sqrt(76)\/sqrt(4) + sqrt(19)))**2.\nAnswer: 171\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 4)*(5*i - 3*i - 12*i)*((-1 + 0 + 0)*(3 - 1 + 0) + 0 - 1 + 3 + 1 + 0 + 1 + 1 - 3 + 3)*(i**2 + i**2 - 12*i**2)*(i + 0*i + 2*i).\nAnswer: 1800*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/6)\/r**(-7\/6))\/(r*r\/r**(-1\/7)*r*r**8) assuming r is positive.\nAnswer: r**(-206\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 - -2120?\nAnswer: 2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3714 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y. Let a(s) = -4*s**2 + s. Let m(l) = a(l) - n(l). Let g(f) = -4*f + 3*f + 4*f. Determine g(m(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007.83332ns in days?\nAnswer: 0.0000000000116647375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20130303 + -42?\nAnswer: 20130211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f - 7. Let z = 7 - -10. Suppose 5*h - 4*c = -13, 4*h - 2*c = -c - z. What is the units digit of y(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 3:11 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 143 = -2*h + u, -4*h + 246 = 2*u. Suppose -219 = -5*f - h. Is (-2)\/(-3) - f\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21654*n = 21699*n + 1395 for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 11*x**2 + 16*x - 14. Suppose -17*z = -13*z + 36. Suppose -7*f = -2*f - 110. Calculate the least common multiple of f and v(z).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -1\/3, -0.2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (-364)\/(-35))*(-34720)\/2016\nAnswer: -31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73045499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 6*r - 2. Let h be y(6). Let x(f) = -2*f**2 - 5*f + 3. Let o(m) = 2*m**2 + 4*m - 2. Determine h*x(g) - 3*o(g).\nAnswer: -2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1248*c + 1267*c = 1387. Let b = 217\/2 + c. Determine o, given that -3\/2*o**2 + 33*o - b = 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011010001110 + -11?\nAnswer: 10011010001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175989 is divided by 25130.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197819939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h**5\/4 - 389*h**4\/8 + 27621*h**3\/8 - 846549*h**2\/8 + 9574281*h\/8 - 4377483\/4 = 0. What is h?\nAnswer: 1, 51\/2, 51, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 2) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -339 (c) -1\/10 (d) 0.8 (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72068 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/3 - 505*a + 3034\/3.\nAnswer: -(a - 2)*(a + 1517)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l + 0*l + 2*l + 5*l. Let z(k) = 3*k**2. Give z(o(x)).\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57554275.\nAnswer: 5, 83, 27737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197053 is divided by 5046?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 0 - (-5 - -2). Suppose 2*l = -k*l + 155. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**7\/210 + 7*q**6\/120 - 7*q**5\/15 + 5*q**4\/6 + 5*q**2 + 14*q + 66. Let k(x) be the second derivative of g(x). Factor k(c).\nAnswer: c*(c - 2)*(c - 1)*(c + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fv when two letters picked without replacement from yjfvynf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -4 (b) 119 (c) 1.093\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) 29 (b) 1\/4 (c) 19 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45185908.\nAnswer: 2, 11296477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -15*x - 7. Let s be p(-7). Let d = s - -259. What is the units digit of d\/(-6)*(-24)\/14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -47*h - 431. Calculate b(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gwggeegrgeai. What is prob of sequence weae?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -104033, -104031, -104035, -104045?\n\"Answer: -3*u**2 + 11*u - 104041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1630 divided by -3546\nAnswer: -815\/1773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -257575250\/7*s**4 + 16\/7 + 3048180\/7*s**2 + 254514950\/7*s**3 + 12104\/7*s.\nAnswer: -2*(s - 1)*(505*s + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*31\/(124\/66)*1\/(15\/(-5))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -398 + 680. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0*((-8)\/8)\/1)\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 2*l**2 - 2*l + 1. Let o be a(1). Suppose 26 = -o*g + 2*g. Suppose -2*u + u + 40 = 4*h, u = 5*h + g. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.76518165 rounded to three dps?\nAnswer: 1.765","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9790*t + 9590*t - 1400 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 13*l - 2. Suppose 5*s - 138 = 2*w, 17*s - 16*s - 10 = -4*w. What are the prime factors of r(s)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 6 = 3*v + 2*s, -35 = 5*v - 5*s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 110*u**2 + 999*u - 72. What is the remainder when 295 is divided by s(-100)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31204081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.36 - -3.16. Let n = 2.63 - v. Let o = -0.17028 - n. Round o to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13310 - -2554200?\nAnswer: 3011510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*q + 3*q + 2*q)*((7 + 32 - 6)*(4 - 3 + 1) - 7 + 4 + 2 + (4 - 1 - 5)*(-3 + 2 - 1) + 3 - 3 + 2) to the form g*q + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 <= -27479\/2044?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3525*b - 63447. Calculate u(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(960) - sqrt(15))\/(sqrt(30)\/sqrt(10)*2).\nAnswer: -9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11e + 4?\nAnswer: -11a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 1114*m - 2709. Give z(3).\nAnswer: 633","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -258 - -213. Which is smaller: s or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-2)*(-4760)\/21. Let d be 6\/33 - r\/(-187). Solve 5 = d*h + 2*t - 3, 3*h - 2 = 2*t for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119.9177 rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7440789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -197467\/32 + 6174. Calculate the common denominator of -79\/44 and o.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s = 47*s - 11104. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53\/232 + -3\/29. Let d = -1\/123961279 - -394320835954\/924131334945. Let k = 2\/1065 + d. What is the nearest to 0.1 in l, k, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a - 178 = -313. Let r(o) = o**2 - 2*o + 1. Let k be r(3). Solve 3*t - k*j + j + 24 = 0, -5*j = a*t - 10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9925.3529 to the nearest one hundred.\nAnswer: -9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 10*f**4 - 53*f**3 + 27*f**2 + 53*f - 11. Let r(v) = -2*v**4 + 13*v**3 - 7*v**2 - 13*v + 3. Let h(b) = -26*r(b) - 6*s(b). Solve h(m) = 0 for m.\nAnswer: -3, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one fifths of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 663 divide 89093427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -w + 3*w. Let t = 1226 + -1220.33. Let c = -0.33 - t. Which is bigger: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 20, -1, 1450, 1\/8?\nAnswer: 1450","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2107 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 856653?\nAnswer: 3, 7, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.11 + -3.89. Put 2\/7, 0.2, a in decreasing order.\nAnswer: 2\/7, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3524 is divided by 692.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -28, -47, -78, -127, -200?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*s + 2*l + 12, -s + 4*l - 20 = 0. Suppose -3*c + 37 = -5*p, -4*p = -0*c + 5*c. Suppose -w - c*w = -15. Sort s, 0, w in increasing order.\nAnswer: s, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1031106*r. Let l(c) = 224*c + 2. Calculate m(l(i)).\nAnswer: -230967744*i - 2062212","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2864 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -3336?\nAnswer: -6672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 7*u**2 + 6*u + 2. Suppose 8 + 10 = -3*s. Let j be d(s). Suppose -f + 3*z + j = 0, 2*z - 13 = -3*f + 4. Solve 0 = -5*t + 20 + f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(648) + sqrt(648) + sqrt(648)*2)**2 + 4.\nAnswer: 10372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*-642.8\nAnswer: -51.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -8 - -6 - -2*10. Suppose -x + 2*x - w = 0. Calculate the remainder when 35 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -f**3*g*z - 277314*f**3*v*z**3 - 83*f**3*v*z**2 + 643*f*g*v*z**3 + f*v*z**2 - 285*g*v*z**2 + 38*v + z wrt z.\nAnswer: -1663884*f**3*v + 3858*f*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 266535036533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -7 + (8 - 4) + -5 + -3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -703118 less than -541158?\nAnswer: 161960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3))**(-49)\/(q\/(q\/q**(1\/3))*q**(-5\/6)) assuming q is positive.\nAnswer: q**(199\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -4 - 11*p + 2 - 4 - p**2. Let v(x) = x**3 - x + 2. Let l be v(-2). Is 10 a factor of t(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 25400, 25364, 25328, 25292, 25256?\n\"Answer: -36*d + 25436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 + 4*c. Let b be h(2). Solve 4*l - 7 - 5 = b for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s - 17 + 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82247 or -82251?\nAnswer: -82251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 319907 and 1771?\nAnswer: 3518977","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1755 and 57375.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*x + 26*x + 4*x)*(-x - x + x + (3*x + 2*x - 7*x)*(-3 + 2 + 0)) as h + t*x + i*x**2 and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (0 - 0) + -7?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 5, 9, -797, -3.\nAnswer: -797, -3, 5, 9, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 21*r - 2. Let l be f(-4). What is the common denominator of 11\/2 and l\/(-20) - (-3)\/(-15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 154 + -69. Let c = m - 70. Solve -4*v - c = p - 2, -33 = 4*v + 5*p for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 - (-14 + (5 - -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 3:03 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 86 = o, -5*o - 255*b + 56 = -252*b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*l + l - 69 + 24 + 40 as f + b*l and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*y + 5*q + 627 = 0, -5*q = -5. Let d(s) = -1 + 5 + s**2 - 319*s + y*s. Let g(u) = 3*u**2 - 7*u + 9. Give -7*d(j) + 3*g(j).\nAnswer: 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 4 + 0*i**3 - 5 + 2*i**2 - 24*i**3.\nAnswer: -24*i**3 + 2*i**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 9*a**2 + 17*a - 4. Calculate y(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07764408 rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 617635 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 561817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07122 + 85.65122. Let a = f + -0.58. Let y = a - 84.99914. What is y rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20357.\nAnswer: 20357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20931 is divided by 4783.\nAnswer: 1799","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**4\/(m*m**5*m)*m\/((m*m*(m*m*m**(-2\/7)*m)\/m*m)\/m)*m\/m**(-1\/3))**(6\/25) assuming m is positive.\nAnswer: m**(-184\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3ec (base 15) in base 11?\nAnswer: -746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -0.4, -0.1, -138?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 43?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 5 + (-5 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -3, -214148 in descending order.\nAnswer: -1\/8, -3, -214148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 12*x**2 + 18*x + 20. Let v = 30 - 20. Let f be k(v). Solve f*d - 2*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**4 + 10*c**3 + 30*c**2 - 10*c - 14. Let w(l) = -6 + 17*l**3 + l**4 - 9 - 11*l - 6*l**3 + 29*l**2. Let m(n) = -5*s(n) + 6*w(n). Factor m(k).\nAnswer: -4*(k - 5)*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -29*n + 86. Suppose n*q = 5*k + q - 165, -3*q - 15 = 0. Let a = 2 - -29. What is the greatest common factor of k and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**41*d*d*(d**(-14)*d*d)\/d)\/(d**28)**13 assuming d is positive.\nAnswer: d**(-334)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14584231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -358e + d50?\nAnswer: -273e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**5 + 183*h**4 - 1584*h**3 + 4872*h**2 - 6576*h + 3312.\nAnswer: 3*(h - 2)**4*(h + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -319693, -1278737, -2877133, -5114881, -7991981, -11508433?\nAnswer: -15664237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -49*a + 298. Let t be d(6). Let s(v) be the third derivative of 1\/6*v**t + 0 - 11*v**2 - 1\/60*v**5 + 0*v + 5\/6*v**3. Calculate s(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1160 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -351, -350, -361, -390, -443, -526, -645, -806?\nAnswer: -1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-77)\/(-9))\/(-7) + (1 - 0)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 10:49 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.66059 millennia to centuries.\nAnswer: 156.6059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1768, -1766, -1764, -1762, -1760, -1758?\nAnswer: -1756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4239 - 535 + 554 = 294*v - 8090 for v.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -249810 divided by -5.\nAnswer: 49962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12871\/(7\/((-35)\/(-10)) - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/8*10*10\/75.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-930)\/20615)\/(66\/(-418))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, 0.14, -5, -9, -5\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*q - 40*q - 180*q)*(15 + 25 + 0)*(-5 + 5 - 2) in the form y*q + s and give y.\nAnswer: 19440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n + 2*n - 4*n)*(-121*n**3 - 7423*n + 7423*n)*(10*n - 5 + 2*n + 5).\nAnswer: -5808*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/2 + 2 - 2. Find the second derivative of 0*h**2 - 4*h**2 + 2*h + 2*h**m + h**2 wrt h.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**5\/2 + 1173*j**4 + 11679*j**3\/2 + 9330*j**2 + 4662*j = 0.\nAnswer: -777, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12906193 is divided by 921870.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 - (-61 - 29) - (34 + -1)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-10))\/((-468)\/780) - 9*-2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 110 + -114. Let q be (-1)\/(((-8)\/(-18))\/(-4)). List the prime factors of (p\/6)\/((-1)\/q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f + 2. Let h be n(-2). Let t(p) = -2*p - 7. Calculate t(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -42, -3 in decreasing order.\nAnswer: 2, -1, -3, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2 + 4*z + 0*z)*(611 - 611 - 430*z).\nAnswer: -860*z**2 - 860*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -9. Suppose 5*i - 55 = u*i. What is the highest common factor of 11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002560351 rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 31162*j - 186915. Determine v(6).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, -2.8, -73, -12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a centimeter in micrometers?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 298, 626, 954?\nAnswer: 1282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -q - 16. Let j be -6 + q - (-3 - -1). Put -2, -1\/3, j in descending order.\nAnswer: j, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 12*j**2 - 18*j + 2. Let r be f(10). Let c be -1*(0 - 31) + (26 - r). What is the highest common divisor of c and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 4*b**2 + 7. Let h be r(-4). Suppose -2*t + 2*g = 6 - 32, t = -g + h. Solve 34 - t = -6*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1517, -2058, -2569, -3050, -3501, -3922?\n\"Answer: 15*j**2 - 586*j - 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -149*a + 156*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 876*c**3 + 894*c**3 - 1771*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*6\/3*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -119, -117, -115, -113, -111, -109?\n\"Answer: 2*n - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 29 = 4*u, 2*i + 45 - 24 = -3*u for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 13 + 22 - 3*l + 56. Let x be i(0). Calculate the greatest common divisor of 26 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -160.2 - -160.5. Which is the nearest to -3? (a) 3\/5 (b) o (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -8 - 20 - 7*s + 0*s + 4*s + 21. Let r(b) = -b - 3. Calculate -2*f(y) + 5*r(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**4 - 3*r**4 + 4*r**4 + (1 + 3 - 2)*(-3*r**4 + 0*r**4 + 2*r**4) - 4*r**4 + 6*r**4 - 4*r**4 + 77*r**3 + 83*r**3 - r**2 - 30*r**4 - 167*r**3.\nAnswer: -35*r**4 - 7*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**2 + 55. Let p(y) = -10*y**2 - 165. Give 7*f(w) + 2*p(w).\nAnswer: w**2 + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 179, 719, 1979, 4319, 8099, 13679, 21419?\n\"Answer: 60*l**3 + 120*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -45 in -3\/158, -1, 2\/15, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -401.69257186866+0.04\nAnswer: -401.65257186866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 - 178. Let j = g - -245. Solve -j*v = -15*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2128036 is divided by 236290?\nAnswer: 1426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 e when three letters picked without replacement from lulezlzlzlzlle.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 - 0.1. Let q = -2669 + 2678. What is the fourth smallest value in -2, -0.3, q, c?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2. Let n(d) = -5*d**2 - 6*d - 27. Let o(b) = -b**2 - 2*b - 1. Let c(w) = -n(w) + 3*o(w). What is i(c(h))?\nAnswer: -12*h**4 - 288*h**2 - 1728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, y: 4, l: 1}. Give prob of picking 3 x and 1 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -89, -391, -885, -1565, -2425?\nAnswer: -3459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/141 and -23\/9043413.\nAnswer: 425040411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.24 + 3.76. Let f = 29 - 28.9. Let x = 0 + 0.1. What is the nearest to x in f, -0.3, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**4\/12 - r**3\/6 + 37*r**2\/2 + 2*r. List the prime factors of d(0).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 82 and 2?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 456195 and 456200 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 442 and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**2 + 12*z + 6. Let v be w(-4). Let u be 8\/(-12) - v\/(-6). Suppose -u*k + 8016 = -3*b, k + 4*b - 5326 = -k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 4*c**5 - 156*c**4 + 584*c**3 - 856*c**2 + 564*c - 140 = 0.\nAnswer: 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8591 is divided by 795?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 2*c - 365. Calculate p(18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -46, 111856?\nAnswer: 111856","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -10*n + 15. Let i(j) = j**3 + 4*j**2 + 2*j + 5. Let w be i(-4). Let q be x(w). What is the greatest common divisor of 495 and q?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.9 in -2\/11, 7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 819563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - f**2 - 2*f + 6. Calculate the least common multiple of 2 and n(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -4*a**3 + a**2 + a. Let v be z(-1). Suppose 0*b = v*b - 12. Solve -b*n = -3*j - 6, 0*j = 4*n + 4*j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91352 a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 10*b**2 - 4*b - 9. Let y(c) = c**3 + 9*c**2 + 7*c - 5. Let h be y(-8). Calculate the remainder when k(-10) is divided by h\/(-6) - 115\/(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 6 = -4*h - 6, -2*y = -3*h - 11. Sort 4, -21, y, -9.\nAnswer: -21, -9, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/8*(-5 + 91). Calculate the greatest common factor of 43 and v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29\/405 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 15 = 3*u. Let s = u + 8. Let r(v) = -v**2 + 6*v + 2. Determine r(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8854746 take away 872?\nAnswer: -8855618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -429*l**2 - 124*l - 522. Let r be y(-54). What is r rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.17709nm to micrometers.\nAnswer: 0.00717709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2214614685?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 10, -14*f = 84784*x - 84783*x - 121 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 637655, 637654, 637653?\n\"Answer: -x + 637656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**4\/4 - j**3\/2 - 3*j**2\/4 + 2*j - 1 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*y**3 - 12*y**3 - 5*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -1721*r - 5166. Let z be j(-3). Let n(g) = 68*g + 206. Calculate n(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 23*t + 1. Calculate v(-34).\nAnswer: -781","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -153\/6626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -757484986, -757484983, -757484980, -757484977?\n\"Answer: 3*b - 757484989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lklkkkkk. Give prob of picking 1 k and 2 l.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 14. Suppose 5*x - k - 6 = 0. Calculate the remainder when 21 is divided by (-66)\/4*x\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**27*r*r)\/r*r**2 assuming r is positive.\nAnswer: r**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005231843637 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.6+-12058428603\nAnswer: -12058428603.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -9. Suppose 0 = -9*a + o*a. Let m be a + 3*(3 + -2). Solve -6 = -3*v - m*g, v = -6*g + 3*g + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76284 by -2934.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 91091 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*x - 2*h + 7, 2*x - 1 = h. Let g(o) = -x*o - o**2 + 0*o**2 - 5*o + 4. Does 11 divide g(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 3)*(4 - 7 + 1 - 3 + 4 + 0 + (-1 - 1 + 3)*(-3 + 4 + 1) - 2 + 2 - 2 - 4 + 5 + 0 - 2 - 4 + 4)*(5 - 5 + 4*m)*(5*m + 2 - 2).\nAnswer: -200*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.715 + -9.715. Put t, -1, 3\/119, -0.1 in increasing order.\nAnswer: -1, -0.1, 3\/119, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -33)\/(-2 - 0). Let w = 24 - p. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 110 + -222. Let d be 5\/(-3 - o\/37). Suppose -2*j - 3*j = -d. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 0*u = -3*t + 20, -5*t - 5*u + 30 = 0. Let i = -11928 - -11927.61. Put 5, t, i in increasing order.\nAnswer: i, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5449494216?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 7 - (2 + (0 - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20\/6*214\/1070. Let c = -0.2 - -0.23. Let w = 0.64 - 0.34. What is the closest to c in w, -4, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + 268 - 276, -7*s + 4*f = 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 + 48 + 41 - 119 + 1436*w.\nAnswer: 1436*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**3 + 575*g**2 - 22272*g + 201852 = 0. Calculate g.\nAnswer: 14, 27, 534","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1896 - -6.9894. Let l = 0.139 - 0.26. Let h = d - l. Round h to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trxl when four letters picked without replacement from xntttlr.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -25709, -0.5, 1 in decreasing order.\nAnswer: 1, -0.5, -25709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 3*z = 189, 0 = -2*m - m - 5*z + 150. Let r(v) = v**3 - 4*v**2 - 3*v + 6. What is the remainder when m is divided by r(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72962*f**3\/7 - 2112078*f**2\/7 - 110730*f\/7 - 1450\/7.\nAnswer: 2*(f - 29)*(191*f + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -485*q**7\/42 + 199*q**3\/6 - 743*q**2 - q. What is the first derivative of y(x) wrt x?\nAnswer: -9700*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 213 + 1663 = 5*v, 5*c - 1450 = -5*v. Is v a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224933?\nAnswer: 43, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -956\/8721 - -2\/459. Let x = 241.45 - -1.55. Let u = x + -243.3. What is the biggest value in w, -0.5, u, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 25462*i. Let f(n) = -2*n. Determine d(f(g)).\nAnswer: -50924*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h = 12*h + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-one halves of a millisecond?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7850842, -15701686, -23552530, -31403374, -39254218?\n\"Answer: -7850844*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j + 3 - 3 = 0. Let i(w) = -w**2 - 4*w + 3. Let f be i(-4). Suppose -f*l = 2*l + 20. Put j, l, 3 in increasing order.\nAnswer: l, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -342749.9*-0.11.\nAnswer: 37702.489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**2 - 787*n + 786 = 0.\nAnswer: 1, 786","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vsys when four letters picked without replacement from {v: 2, s: 4, e: 2, y: 1}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 11*k**2 + 16*k - 15. Suppose -14 = j - 8*d + 3*d, -5*d = 4*j - 69. Is s(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24123 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -65bae?\nAnswer: 65bb4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 167 - 123. Suppose x - 694 = -5*q, 3*x + 308 = 2*q + m. What are the prime factors of q?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/1826 and -76\/85905.\nAnswer: 1889910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13311 = -344*w - 16144 + 215 for w.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p. Let r(j) = -4*j. Let c(h) = 2*r(h) + 7*z(h). Let t be 33\/5 + (-14)\/(-35). Let d be 15\/(-20)*(-9 - -1). Let b(s) = s. What is d*b(g) + t*c(g)?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 11:42 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 8:54 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0438 + -0.9038. Sort -3, z, 0.9 in descending order.\nAnswer: 0.9, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 0*t**4 + 0*t + 4 + 0*t**3 - 3*t**2 + 2\/15*t**5. Let m(j) = j - 3*j + 7*j. Determine m(n(w)).\nAnswer: 40*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(4*u + 0*u - 2*u) + 3*u - u - u + (1 + 3 - 3)*(-1 + 1 - 2*u) + (1 + 0 + 1)*(-u - u + 0*u) + 0*u + 0*u - 2*u + u - u - 2*u.\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(3\/3)*(-2)\/(-26)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j**(-8\/5))\/j*j*j))**27\/(((j\/j**7)\/j)\/(j**5\/j)) assuming j is positive.\nAnswer: j**(136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 1:11 AM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1295 + -1087.2. Let h = j + -207.81413. Round h to four decimal places.\nAnswer: -0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-28)*-5)\/(425\/8160).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 15*r + 3*l = -3, 0 = -2*l. Solve -2*s = r*v - 6*v - 11, 4*s + 5*v = -33 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13094 is divided by 44.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -31, -49, -75, -109?\n\"Answer: -4*c**2 - 6*c - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/(-4))\/((-7)\/(-70)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 6 = 3*s. Let h be 28\/s*15\/10. Calculate the remainder when (-620)\/h - (-4)\/(-14) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*w. Let p(d) = -7*d + 7. Let u be p(-11). Let k be 12\/u - (-4)\/14. What is the closest to w in k, -0.4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -g - 5*m + 325, -337 = -g + m. Suppose 269 = y + l - 75, g = y + 4*l. List the prime factors of y.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 4.2. Let h = r - 0.7. Which is the third biggest value? (a) h (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22221012111211 + -1110?\nAnswer: 22221012110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**6\/10 + z**5\/60 - z**4\/24 + z**3\/6 - 5*z**2. Calculate c(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 325 (b) -6\/13 (c) 5 (d) 1 (e) -40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*z - 15*z - 6*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 22*w**2 - 1. Let v(z) = 135*z**2 - 54. Let y(b) = 6*r(b) - v(b). Let a(x) = 12*x. Give a(y(m)).\nAnswer: -36*m**2 + 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o - 4. Let w be v(-6). Let j = w - 1. Suppose 8*r = 3*r + j. Solve f - 2*k = 6*f + 20, r*f + 20 = 5*k for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i + i + 0*i + (-i + 1 - 1)*(-5 + 1 + 3) + 3 - 3*i - 3 + 13*i + 5*i + 6*i to the form o + w*i and give w.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -4758 in descending order.\nAnswer: 4, -2, -4758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 - -26. Let k be ((-4)\/j)\/(5\/2085). Let t = -82 - k. List the prime factors of t.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 - 4*o + 3. Give g(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -57, -85, -113?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 11*y**2 + 269*y - 11. Let h(s) = -2*s**2 - 45*s + 2. Determine -34*h(c) - 6*t(c).\nAnswer: 2*c**2 - 84*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 5*t**2 - t + 1. Let a be b(5). Let x be 5\/((-10)\/a) + 1. Let r = 0 + 0. Solve r*c + c = -x for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/7 - 76\/(-28). Let h(o) = -2 - 82*o**3 + 5*o + 8*o**2 + 41*o**3 + 42*o**l. What are the prime factors of h(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -43, -88, -137, -190?\n\"Answer: -2*y**2 - 39*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1701 and 0.5?\nAnswer: -850.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 9445*d**2 - 6*d - 12. Let u(w) = 9445*w**2 - 6*w - 13. Let j(q) = 5*r(q) - 4*u(q). Let c be j(12). Round c to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1912\/5975)\/((-48)\/300)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5172 divided by 862?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 5*f - 9*f + 3*f**2 + 3 + 3*f**2. Let q(h) = -9*h**2 + 6*h - 4. Let a(x) = 5*q(x) + 8*s(x). Is a(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13746963 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 22 = 4*p, 5*o - 18 = -0*p + 2*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 2*w**2 + 3*w - 2. Calculate g(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = -8*d + 497. Calculate the common denominator of (-8)\/6*d\/64 + -26 and (-23)\/48 - (-4)\/6.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22120222000010 (base 3) to base 6.\nAnswer: -241505350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -97*q - 8. Let r(m) = 728*m + 60. Let j(a) = 15*o(a) + 2*r(a). Let l(v) = 1 - 5*v - 1. Calculate 18*j(g) + 4*l(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -52. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-7) + -9 - (-1 - 6). Solve d = -t + 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5982.5 - -5982. What is the closest to -2\/13 in 4, -2\/121, 1, c?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 904982758.\nAnswer: 2, 29, 2939, 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 162*y**3 + 274*y**3 + 89*y**3 + (0 + 0 + y**2)*(3*y - 2*y - 3*y).\nAnswer: 523*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15 - -73?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44.91 + 0.91. Let t = -43.6 - p. Which is the smallest value? (a) 0 (b) 0.1 (c) -1\/6 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 - k + 2. Let g(t) = 2*t - 2. Let u be g(2). Suppose 3*a - 15 + 2 = -q, q - u*a + 12 = 0. Does 8 divide o(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v = -4031 + 3986 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(220))\/(sqrt(80)*-1))**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**5\/19 + 2558*g**4\/19 - 60100*g**3\/19 - 271032*g**2\/19 - 281232*g\/19 = 0?\nAnswer: -1302, -2, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -12287*n - 208867. Give q(-17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 61*h. Let d(y) = 2*y - 1. Let a(m) be the third derivative of -m**4\/24 + m**3\/6 + 72*m**2. Let g(w) = -a(w) - d(w). Calculate g(p(x)).\nAnswer: -61*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4917*v + 4922*v + 23 = 2*z, 0 = z - 3*v - 14 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 832, 1454, 2076, 2698, 3320, 3942?\nAnswer: 4564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 36, 3, 0 in descending order.\nAnswer: 36, 6, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17737720 and 13290?\nAnswer: 4430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 4\/(-2) - 0. Let c(h) = -72995*h - 8. Let i(r) = -36498*r - 4. Let o(w) = 3*c(w) - 7*i(w). Let d be o(u). Round d to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2671 times -27?\nAnswer: -7.2117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 93084915 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t - 4. Let i be o(7). Find the third derivative of f**2 + f**i + f**2 + 0*f**2 wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/14, 4, 0.3, -5?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 0)\/(-4) - -1. Let t(v) = 121*v**3 - 2*v**2 + 2. List the prime factors of t(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 28.995. Let u = 3.99 + -4. Let p = d + u. Round p to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*g + 16*g - 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - c = -0*c - 1432, 3*h - 858 = -c. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(-1)\/2*-1*460\/230.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*(c\/((c*((c*c*c**(1\/5)*c*c)\/c*c)\/c)\/c))\/c)\/(c**(2\/21)\/c))\/((c\/(c*c**(-3\/4)))\/(c*c*c\/(c*c*c**(-14)*c))))**29 assuming c is positive.\nAnswer: c**(145609\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -u + 18, f - u - 10 = 8. Solve -5*y + 1 = 3*w - 20, -3*w + f = 4*y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) -3 (c) -3\/37 (d) 0.2 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from {k: 9, h: 2, x: 2}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -0.1, 0.3, -44 in decreasing order.\nAnswer: 4\/7, 0.3, -0.1, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6732 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24434?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 254875504 divided by -2.\nAnswer: -127437752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -25*v**3 + 1790*v**2 - 31680*v - 12960 = 0.\nAnswer: -2\/5, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - f + 1 = 6, -f + 25 = 4*h. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 2)*(1 + 2 - 5)*(105*z - 75*z - 172*z) in the form v + g*z and give g.\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-738 + 738 + 3*b**2)*(-729 - b + 729) in the form d*b**3 + w*b + t + x*b**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -g + 20, 3*g = -w - 3*w + 35 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.4 times 9.9?\nAnswer: 63.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0613 + -0.0613005173. Round s to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3474 is divided by 446?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2*m**3 + 2)*(m - 3 + 3) + 2*m**4 + 0*m**4 + 0*m**4 + (m - 5*m + 3*m)*(-m**3 - 2*m**3 - 2*m**3))*(-m - 4*m + m).\nAnswer: -20*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -731, -2768, -6157, -10892, -16967, -24376, -33113, -43172?\nAnswer: -54547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-2 - -1)\/(6\/15). Let f = 3.63 - 4.63. What is the nearest to f in -2\/13, 0.04, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.53 and -16.\nAnswer: -14.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 46 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 294, -23.\nAnswer: -23, -2, 1, 294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 322 and 1106?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133898713 is divided by 1632911.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 0 = -o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/3, -2\/151 in ascending order.\nAnswer: -2\/151, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + -4. Let r = 34 - 14. Calculate the least common multiple of r and (4\/(-3))\/(d\/153).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a hour in seconds?\nAnswer: 73800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2134?\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26\/7? (a) 2\/9 (b) 15\/8 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38616 and 28962.\nAnswer: 115848","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010306187567 rounded to six decimal places?\nAnswer: 0.001031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-486489)\/(-2445) - (-4)\/(-18). Let h = m - -22\/815. Let j = -199 + h. What is the nearest to 2 in j, -0.3, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20112 (base 4) to base 13\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 3:58 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6726 - 0.4.\nAnswer: -6726.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + 2*u + u)*(-2*u - u + 2*u) + u**2 + 10*u**2 - 5*u**2 as w*u**2 + q*u + s and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-55)\/(-66))\/2.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5\/9 - 62*m**4\/9 - 344*m**3\/9 - 568*m**2\/9 - 32*m = 0. What is m?\nAnswer: -2, -1, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -121*o + 983. Let u be l(8). Let d = -1 - -1. Solve d*i = 3*i - u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(1\/3))**31\/(o**(2\/5)*o*o\/(o*(o**(1\/10)\/o)\/o*o)))\/(((o**(-5\/2)\/o*o)\/o**(-2))\/(o*o**(-8)*((o*o**(-2)*o)\/o)\/o)) assuming o is positive.\nAnswer: o**(148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 100111000101011011101010 (base 2) to base 8\nAnswer: 47053352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 26*w + 160. Let c(p) = 28*p + 200. Let o(t) = -4*c(t) + 5*j(t). Let n(m) = 2*m - 3. Let u(r) = -r + 2. Let f(h) = -2*n(h) - 3*u(h). Give f(o(y)).\nAnswer: -18*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*i - 1497 = -358*i - 69*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2504 + 2483. Is -49 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -5*p - 32. Let k(a) = -a**2. Determine k(w(m)).\nAnswer: -25*m**2 - 320*m - 1024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -42*w + 71*w - 11*w - 110. Calculate h(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 13. Let i(t) = o + 3*t**2 - 5. Let r(h) = -5*h**2 - h**2 + 7*h**2. Determine i(r(q)).\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 266022\nAnswer: 4\/133011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -128 * 0.654.\nAnswer: -83.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/22560 and 181\/1080?\nAnswer: 203040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7111.5ng to kilograms.\nAnswer: 0.0000000071115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.144939348.\nAnswer: -0.579757392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 706264?\nAnswer: 2, 13, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1024 times 1.41\nAnswer: -0.144384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/9, 1, 0, -7, -4, -0.169?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105304.\nAnswer: 2, 13163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -116 - -111. Sort 24, y, 2.\nAnswer: y, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 308.8 + -304.8. Sort -2\/31, 2\/5, -4, q in decreasing order.\nAnswer: q, 2\/5, -2\/31, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 18 - 4?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -532 = -3*n + 2*g, 4*g = n - 4*n + 556. Let m = 307 - n. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 671, 2877, 6891, 12989, 21447, 32541, 46547, 63741?\nAnswer: 84399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 7575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a centimeter in micrometers?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 + 58. Let q be k\/99*(-1)\/5. Suppose 0 = -8*s + 18*s - 10. Is s at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6131 divided by -6\nAnswer: -6131\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -326 times -257.72\nAnswer: 84016.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -589 - -580. What is the third smallest value in r, -5, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 17 = -10. Let w(g) be the second derivative of -3\/80*g**5 + 1\/48*g**4 - 1\/8*g**2 + 0 + 7*g + 1\/8*g**s. Determine q, given that w(q) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m*m\/(m*m**(1\/2))*m*m)\/m*m**(-4))**(-29)*(((m*m**0*m*m)\/m)**15)**(-21\/5) assuming m is positive.\nAnswer: m**(-165\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51690 and 36291.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*g + 11*g + 1 - 24*g - 18*g + 3*g.\nAnswer: -41*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -100 - -70. Let g be ((-6)\/(-5))\/(-3)*d. Is 11 a factor of ((-3)\/(-2))\/(1\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/14 and 55\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 - -28. Suppose 3*d - s = 109, 2 = -3*s - t. Suppose -4*y = -3*y + 4, -y - 40 = -4*v. What is the greatest common divisor of v and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3190 + -3013. What is the remainder when x is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1480277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x - 120 = 10*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -739275 divided by -29571?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69*v**4 + 262*v**4 + 36*v**3 - 136*v**4 - 3*v**2)*(3 + 4 - 5).\nAnswer: 114*v**4 + 72*v**3 - 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1170)\/(-60))\/39*20.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -139 at least -132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 126304304 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28 - 26 + 76)*(-3*u**2 + 3*u**2 - 7*u**3).\nAnswer: -154*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -75209*d**2. Let s(k) = 2*k + 30. What is s(u(w))?\nAnswer: -150418*w**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31107212 and 14?\nAnswer: 217750484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16283853?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 - -69. Which is the closest to u? (a) 1 (b) 5\/4 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = n - 26, 2445*n - 2441*n + 121 = -7*i for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 435330569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (-6 - (-2 + 4)). Let d be 4\/q + (-6)\/(-15). Suppose 2*u + 0*u - 160 = d. What is the remainder when u is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4062, 8128, 12194, 16260?\nAnswer: 20326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 0.2, -4, -2\/23, 8, 2\/137?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 43 + -13 - 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**5\/110 - r**4\/2 + 236*r**3\/33 + 612*r**2\/11 + r + 296. Solve w(d) = 0.\nAnswer: -2, 17, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28865460 and 33580?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 7. Let n = o - 1. Which is the smallest value? (a) n (b) -1\/4 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -96 + 98. Solve -n + 3 = j*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 125133 - 44222?\nAnswer: 40511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46113 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0 = -2. Let q be (-15)\/(-3 + (-3)\/n + 1). Is 30 a factor of (-72)\/(-1 - 3)*q\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.8418786 weeks?\nAnswer: 509168.17728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69219?\nAnswer: 3, 7691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) -2\/11 (c) -6915 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -7*w - 7. Let k(i) = 6*i + 7. Let o(h) = -5*f(h) - 4*k(h). Let l be o(-1). Let p be 0 + l + ((-35)\/5 - -15). Solve 3*b - b = p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 4, 60, 51, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1275295 is divided by 1308?\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of 0*p**3 + 0*p**4 + 1\/600*p**6 - 2*p**2 + 0*p + 1\/150*p**5 + 0. Determine k so that i(k) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b - 9*b = -3*i - 144 - 12, 25 = 5*b for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -f - 21 - 1, -4*c + 73 = -f. Put -2, c, 15 in increasing order.\nAnswer: -2, 15, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 53631338 and -0.03.\nAnswer: 53631337.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2210030102 (base 5) to base 11.\nAnswer: 2766a06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/sqrt(144) - (0 + sqrt(20)) - (((sqrt(5) + sqrt(5) + sqrt(5)*-2)*1 - sqrt(5))**2 + -2 + 2 + sqrt(5)).\nAnswer: -11*sqrt(5)\/4 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/4 + 78\/8. Let z(d) = d**3 - d - 3. Let u be z(0). Let k = u - -3. Solve -5*c - i = -k*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**5 + 2*u**5 - u**5 + (-3*u**3 + 4*u**3 + u**3)*(-2*u**2 + 2*u - 2*u) - 3*u**5 - 2*u**5 + 3*u**5)*(18 - 22 + 53).\nAnswer: -245*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 9:40 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6*g = -3*c + 18, -5*g - 5 = 5*c. Suppose 4*k - c - 18 = 0. Solve 3*t + 4 + 1 = -2*v, -5*t = k*v + 15 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 45 (b) 2 (c) -1 (d) 31.1 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -4*w**3 - 92*w**2 + 4*w + 92 = 0.\nAnswer: -23, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*f - 6*v + 104, 3*v = 5*f - 205. Suppose -2*u + 92 = -n, u - 3*n + 2 = f. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 14*l**5 + 6498*l**4 + 669078*l**3 + 1412318*l**2 + 843324*l + 93600 = 0.\nAnswer: -312, -150, -1, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -378 - -377.393. Let k = -0.487 - s. What is the second smallest value in -5, k, 0.4, 1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 20*c**2 + 19*c - 4. Let b be l(-21). What is the greatest common factor of b and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, z: 2, e: 1, y: 6, t: 7}. What is prob of picking 1 s and 1 t?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30779165\/878 + 35056. Let a = u + 35553\/1756. Find the common denominator of 2\/7 - (-423)\/112 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 121142253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6\/24*(-36)\/(-99)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -0*t + 2*t + 12, a - 4 = 2*t. Let b(g) = -39*g - 1. Is b(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**5 + 5*a**3 - 3*a**2 - 35*a + 1. Let w(y) = y**5 + y**3 - y**2 + 1. Let l(x) = v(x) - 5*w(x). What is the second derivative of l(i) wrt i?\nAnswer: -20*i**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 1. Let o(q) = 8*q + 12. Give -2*o(u) - 22*z(u).\nAnswer: 6*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 3:34 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -6*c. Let m(j) = -j**2 + 83. Is m(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence asa when three letters picked without replacement from {s: 3, a: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(sqrt(720)\/sqrt(10))*-1)\/((sqrt(126)\/sqrt(81) + sqrt(14) - sqrt(14))\/sqrt(7)*3) + -5.\nAnswer: -5 - sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4137 and 2240?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 11, m: 2}. What is prob of sequence ttm?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -1, 0.4, -1\/59.\nAnswer: -1, -1\/59, 2\/13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -124.2566.\nAnswer: 6.21283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**2\/3 - 1223676*q + 7342008 = 0.\nAnswer: 6, 917751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 d when four letters picked without replacement from {k: 1, d: 10, z: 6}?\nAnswer: 135\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1182350934.\nAnswer: 2, 3, 65686163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54596702.\nAnswer: 2, 1789, 15259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u + 44. Let n be g(-18). Calculate the remainder when 44 is divided by -2*11\/(-2) + (n - 7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**2 - 13249*v + 13250 = 0?\nAnswer: -13250, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -1) + 72 + -125 + 82.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 8*k**2 - 5*k - 4. Is i(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-52)\/12 - (-2)\/(-3). Let p(f) = f**2 - 3. Let y(u) = 2*u**2 - 5. Give r*p(j) + 3*y(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 164.2 times -5902?\nAnswer: -969108.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -28. Let a(t) = t. Let j be a(v). Suppose -6*z + j = -2*z. Solve -f + z = 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -1\/4*i**3 + 0 + 0*i - 20*i**2 + 7\/96*i**4 - 1\/240*i**5. Determine j, given that f(j) = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 6 + -12 + (-15 - -14 - 0) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 224 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85465.7m to kilometers.\nAnswer: 85.4657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3479?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -253*b*j**3 - 2*b*j + 2*b + 74*j**2 + 461*j - 3 wrt j?\nAnswer: -1518*b*j + 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*i + 49 = -78, -73 = -3*d + 2*i. Suppose d = 2*w - k, 2*w - 2*k - 6 = 24. Is 11 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**3 - 4*n**3 + 5*n**3 + (-3*n**2 - 5*n + 5*n)*((0 + 0 - n)*(1 + 2 - 1) - 9*n + n + 4*n).\nAnswer: 17*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86\/129*(-12261)\/(-122).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than 294352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 256.04 - 251. Let q = 0.76 + -0.8. Let c = r + q. What is the closest to 1 in 4, 2, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/60*(-54)\/945)\/((11\/(-4))\/11)\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j + 18 = -7*j. Let l = -0.3 - 0. Which is the closest to -1? (a) l (b) j (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -451, -45 in decreasing order.\nAnswer: -4, -45, -451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-6)*231\/7*3492\/(-16005)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 3*z - 2*z - 6*z.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 259979628*m**3 - 442998244*m wrt m?\nAnswer: 1559877768*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**5 + 86*b**4\/3 - 106*b**3 + 86*b**2 + 124*b\/3 - 48 = 0.\nAnswer: -2\/3, 1, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**6\/120 + 2*z**5\/15 - 3*z**4\/8 - 7*z**3\/6 - 33026*z**2 + 2. Let n(a) = 2*a**2 - 2. Let o be n(2). Determine f(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 723 - 93 = -2*s, 2*s - 10 = 0. Suppose -b + 5*b - x = 0. Calculate the lowest common multiple of 12 and b.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 508 or 2?\nAnswer: 508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gtgtgotygo. What is prob of picking 1 o, 1 g, and 2 t?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**3\/3 - 4046*o**2 - 24258*o - 36378 = 0.\nAnswer: -6063, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-8)*g)\/g*g**(1\/2))**(1\/11) assuming g is positive.\nAnswer: 1\/sqrt(g)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 i, and 1 p when three letters picked without replacement from iibiopiyiyypip?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/15 - (-36)\/10. Suppose 2*j = -5*f + 5*j - 11, -s*j + 9 = -f. Let a(q) = -q**2 + 7*q - 2. Let g be a(7). Put 4, g, f in ascending order.\nAnswer: g, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.7*-6653.04.\nAnswer: -11310.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*1*sqrt(11) - (sqrt(11) + sqrt(176) + -4))*1.\nAnswer: -24 + 42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -19. Are 7 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 58 + -53. Find the second derivative of 0*q**y - q - 2*q**5 - 5*q - 3*q wrt q.\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**5 + 24*u**4 + 42*u**3 - 196*u**2.\nAnswer: 2*u**2*(u - 2)*(u + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -58, -4, -309, -2 in decreasing order.\nAnswer: 0, -2, -4, -58, -309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*a + 1220 + 11818 = 0 for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + 1000?\nAnswer: 10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, 311, 514, 737, 986, 1267?\nAnswer: 1586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25.8 + -26.3. Which is the second smallest value? (a) 1 (b) 5 (c) i (d) 10.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 11*g. Let l = -76 + 68. Let j(f) = -7*f. Calculate l*j(h) - 5*b(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2952)\/(-32))\/(1341\/(-596)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/(-21) - (-33)\/9. Let l be 8\/(-4 - (-15)\/u). Suppose l*x + 242 = 10*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4656092 (base 10) to base 13.\nAnswer: -c703ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*(z\/z**3)\/z*z*z\/(z**5*z)*z*z**3\/z*z**(2\/5) assuming z is positive.\nAnswer: z**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-4)\/12) - -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8, 87, 302, 719, 1404, 2423?\n\"Answer: 11*y**3 + 2*y**2 - 4*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -62.1 to zero decimal places.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/30 and 67\/57906.\nAnswer: 289530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 33947693 from 3196138.\nAnswer: -30751555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2394)\/627 + (0 - -4) - (-332)\/110.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in 56\/5, -0.1, 0, 1, -3, 71\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-18) - -23*20120\/(-16560)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -89344\/51 - 82\/17. Let a = i + 1774. Find the common denominator of a and 46.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqqbsbiiqsiqbisqisiy. What is prob of sequence by?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 78689341\/4 or 19672335?\nAnswer: 19672335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/14 + (-4134)\/168 and 19\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, j: 4, i: 2, u: 1}. Give prob of picking 1 i and 2 h.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -146*n - 55*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 253, 248, 247, 256, 281, 328, 403?\nAnswer: 512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-90)\/(-105))\/(10432\/(-22820)).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.66 - 0.86. What is the fourth biggest value in -2, -0.1, u, -2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 12*p = -9. What is the nearest to 0.1 in 1\/4, p, 2\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -306, -680, -1202?\nAnswer: -1872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 20 (b) 6 (c) -4 (d) -0.1 (e) 11268 (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-48)\/75)\/(10\/25))\/((-11)\/(-110)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 114802 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -12. Suppose 3*t - 2*t - 4 = 0, -3*t = h*o - 27. Suppose 4*n = 0, o*n + n = -4*i + 64. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of 0 - 6*q + 0*q**2 + 1\/6*q**3. Let f(l) = 4*l + l - 6*l. What is g(f(p))?\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -620081.97 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -177, -260, -343?\nAnswer: -426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of 7*l**4\/24 + l**3\/3 - 2*l**2 - 7*l. Let h(c) be the first derivative of d(c). Find the first derivative of h(y) wrt y.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -602 - -4?\nAnswer: -5a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 + -61.51. Let y = -0.6625 + 1.153. Let s = y - d. What is s rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 30 = -21*z + 17*z, 5*z + 25 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 15, z: 5}. Give prob of picking 2 z and 2 o.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -9*w**2 + 838*w + 11381. Calculate m(-12).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8309862089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02166 rounded to three decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 9462 divide 4816550759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/3263 - -120742\/35893. Let q = -115\/12 + 35\/12. Calculate the common denominator of q and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 152116092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5 = -11. Suppose 3 = x*g - 9. Suppose 4*r = -8, 2*c + g*c = -2*r + 6. Solve -c = d - 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*k = 4*g - 7388 + 876, 5*k = -5*g - 340 for k.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 272 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -173, 5, 29 in increasing order.\nAnswer: -173, 5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*h - 2*h = 8, -h = -2*g - 5. Suppose 8*w = -4*w + 1104. Let d = 66 - w. Which is the second smallest value? (a) d (b) 2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26\/45 - -242\/315. Calculate the common denominator of 145\/18 and w.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 12 - 4. Let v be 2 + 1 - (i - 1). Let r be (-8 - -1)*(v - 7). What is the highest common factor of 14 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34 and 816.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 215 + 20145?\nAnswer: 20362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -8.\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27997.254 months to decades.\nAnswer: 233.31045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 - 3709*g - 505115. Calculate v(-148).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 3:39 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -14. Let s(m) = 5 + m - 3 + 1 + 5. Calculate the smallest common multiple of s(c) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6 + 2. Let f = 9 + -5. Let n be 80\/(-12)*2\/(4\/(-3)). Solve 2*b = -f*c - n, -3*b + t*c + 15 = -0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1256 = -120*h - 416. Solve 3*a - h + 1 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + (-214)\/(-70))\/(-6 - 425\/(-70)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p**2 - p. Let w be k(-2). Let v be 2*3\/w*3. Suppose 1 = 4*y + m, v = y + 2*m - m. Solve 0 = -y*n + 2*n - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**3 - g**2 - 8*g - 3. Let f(l) = -14*l**3 + 3*l**2 + 22*l + 9. Give -3*f(u) - 8*i(u).\nAnswer: 2*u**3 - u**2 - 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2\/3 + 688*n\/3 - 29584\/3.\nAnswer: -4*(n - 86)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 479*c**4\/12 + 429*c**2\/2 + 16*c. Differentiate s(v) with respect to v.\nAnswer: 958*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2 - 72087*q + 72086 = 0. Calculate q.\nAnswer: 1, 72086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 105 + -17469559935\nAnswer: -17469559830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.21 in 0.08, -12777, -2\/21, 0.5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 574724 and 6164?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a - 9*a**4 + 7*a**4 - 3 + a**2 + a**3 + 6 to i*a**4 + s*a**2 + u*a + k + t*a**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 766 - 532.1. Let n = f - -66.1. Let w = n - 301.39. Round w to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/11 (b) 1\/4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4 = 3*y, -y + 2 = 2*y - 5*q. Solve -6*u + 4*u - 3*d = -15, 0 = 3*u + y*d - 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -210*((-3)\/6 + (-1)\/2)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -x**4 + 33238*x**3 - 2044 wrt x.\nAnswer: -4*x**3 + 99714*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 308 + -5?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 69\/12 - (-9)\/(-12). Suppose 0 = f*n - 6*n. Sort -2, n, -4\/11 in decreasing order.\nAnswer: n, -4\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wqbjbmew. Give prob of picking 1 b, 1 e, 1 w, and 1 q.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 9 - 13 = -5*n, -2*u + 4*n - 22 = 0. Let a(v) = v - 5. Let s be -2*(-2)\/4*-3. Let h(m) = 1. Give s*h(y) + u*a(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 179, 323, 559, 887?\nAnswer: 1307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75671382 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -139 (b) -5 (c) 5 (d) -22 (e) -1023 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 10493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3 = 6. Suppose 5*q + 2*w - 19 = 0, q = -r*q - 5*w + 22. Let y = -0.3 + 0.2. What is the biggest value in q, y, 0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -u**4\/4 - 7*u**3\/3 - 5*u**2\/2 - 11*u + 4. Let p(l) = -l**2 - 4*l - 2. Let f be p(-5). What are the prime factors of i(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*a - 40 + 36 = -49 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2722 is divided by 1361.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2 - z + 1. Let p be v(1). Suppose 3 = i + 3*k, 3*k + 4 = 7*k. Solve i = -b - 1 - p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*m + 634 = 190, s - 5*m - 459 = 0. Is 439 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*q**2 + 12*q**2 - 1340*q**5 - 43 + 56 - 7*q**2 wrt q.\nAnswer: -80400*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1666355 or -1666357?\nAnswer: -1666355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 3, -2, -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 409?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/67 (b) 3\/8 (c) 3 (d) 0.4 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**3 - 2*k**3 + k**4 - 2*k**3 - 2*k**3 - 2*k**2 to the form h*k**4 + r + a*k + w*k**3 + b*k**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -3*t + 12. Let s be z(11). Let v be 52799999\/6 + (s\/(-18))\/7. Round v to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4 (b) 0 (c) 2\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21855 by -235.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6*a + 2*a = 0. Let c(l) = l**3 + l**2 + l - 7. Calculate c(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + (-11)\/((-11)\/(-30)). What are the prime factors of (-270)\/(-8) + (-7)\/k?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 10*j - 13*j - 1, -3*j + 3*d = -24. Solve -26 = -3*m - 5*s, 0 = -m - 5*s + 19 + j for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00087 to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, -3, 3, -2, -5 in increasing order.\nAnswer: -5, -3, -2, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*v**3 + 60916*v - 60916*v.\nAnswer: -19*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-31190)\/31150)\/(272\/112*(-2)\/(-17)).\nAnswer: -2\/445","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20\/3*u + 2\/3*u**2 - 22\/3.\nAnswer: 2*(u - 11)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 1694\/461?\nAnswer: 1694\/461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 62789455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/4? (a) -18 (b) -92 (c) -3\/32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 23940160 divided by 2\nAnswer: 11970080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 - -751\/23. Let b = -33\/161 - u. Let q = -2780 - -2780.6. What is the smallest value in q, 2\/17, b?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*v - 51*v - 47124 = 59*v. Calculate the highest common factor of v and 408.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -279 + 170. Let x = s + 113.9. Let r = 4.89836 - x. What is r rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160557*d = 160446*d - 4218 for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 3*u = -510, 2*j + 3*u - 208 = -13. Let x be ((-4)\/70)\/(21\/j). Let z be (10\/(-2) + 2)\/1. Is x smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 69434 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 6) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003440232939 rounded to 4 decimal places?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + fe?\nAnswer: ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) -7319 (b) -22\/9 (c) -8 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-6) + (-50 - 15\/(-5)). Put -5, 0.5, -0.4, u in descending order.\nAnswer: 0.5, -0.4, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 equal to 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/18 + 0)\/(75\/(-3375))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 7070 = 8*d. Calculate the remainder when 2*(-5 - d\/10)*3 is divided by 47.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -3, -2\/7, -1731, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - 5. Let o = -17 - k. Let 18*j**4 + 14*j - 8*j - 6*j**3 - 12*j**2 - o*j**2 + 3*j**3 = 0. Calculate j.\nAnswer: -1, 0, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -75232, -301809, -679720, -1208965, -1889544, -2721457?\n\"Answer: -75667*k**2 + 424*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4275 is divided by 2010.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(1\/8))\/m**(-1\/14))\/(m**(2\/5)*m)**(-28) assuming m is positive.\nAnswer: m**(11311\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1480 and 508380?\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9269?\nAnswer: 13, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4880 or 4853?\nAnswer: 4853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -182\/9 + 20. Let z = 789 - 788.5. Let q = -6 + 5. What is the nearest to -0.1 in g, q, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103 + 3. Let q = -65 + h. What are the prime factors of q?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -92.04 and 0.03.\nAnswer: -92.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 + 3*h - 2. Let f(c) = -c**3 + c - 1. Let m(a) = -6*f(a) + 2*i(a). What is the derivative of m(b) wrt b?\nAnswer: 30*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34368.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 5*p + 16, 5*q + 59*p - 23 = 63*p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pcyyopcocopyop. Give prob of picking 1 o, 1 y, 1 p, and 1 c.\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 - 49*s + 416. Calculate z(9).\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20551 (base 9) in base 4?\nAnswer: 3110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290522?\nAnswer: 2, 29, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-1))**(-2\/9)*(m**(1\/2))**(4\/13)*(m\/m**(-1\/2))**(-7\/11)*m**(1\/3)*m*m**(1\/10) assuming m is positive.\nAnswer: m**(1211\/6435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (5*-2*sqrt(104))\/(5*sqrt(128)) + 5.\nAnswer: -sqrt(13)\/2 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39122.74 litres to millilitres.\nAnswer: 39122740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 1:31 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**2 - 2*l**2 + 2*l**2 + (0*l - 2*l + 3*l)*(0 + 0 + l) + (0 + l + 0)*(-2 - 2*l + 2).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**5 - 14*h**3 - 12*h**2.\nAnswer: 2*h**2*(h - 3)*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10121100002 - 11111?\nAnswer: -10121111120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 48790?\nAnswer: 1073380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**3 - q**2 - 5*q**3 - q**4 - 4*q**3 + 5*q**2 to j + f*q + u*q**4 + d*q**2 + t*q**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -329515776 divided by 572076\nAnswer: -576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 940\/1443 - -11\/37. Find the common denominator of v and 17\/48.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-3) - (19\/494)\/((-7)\/(4088\/(-4))).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24492761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002575091 to 6 decimal places.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 260 and 682?\nAnswer: 88660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2)*(3*f - 2 + 2 + (f + 4*f - 6*f)*(3 - 3 - 1) - 2 + 2 - 2*f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 3198.\nAnswer: 3197.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 6) to base 3\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.85769l?\nAnswer: 4857.69","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**5\/20 + 853*u**3\/6 - 1657*u**2\/2 - 1128*u. Differentiate k(s) wrt s.\nAnswer: -3*s**2 + 853","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 36 = -4*l, -3764*p = -3763*p + 2*l - 14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 554b (base 12) to base 13\nAnswer: 4397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44.1 in -2\/23, 0.1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, 19159, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**3 - 4*i - 1. Let m be q(2). Let l(n) = -17*n + m*n - 19*n. Let g(d) = 16*d. What is g(l(j))?\nAnswer: -80*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -180, -301, -636, -1293, -2380, -4005, -6276?\n\"Answer: -18*b**3 + b**2 + 2*b - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1600 and 80.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z - 255. What is v(-57)?\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 6 = 39. Let z = f - -10. Solve -2*a = -2*x - a - z, 4*a + 12 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -605\/2 - -2710\/9. Calculate the common denominator of z and 50\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*b = b + 34, -2*a - 4 = -4*b. Suppose -5*r = -25, -t + 19 = t + 3*r. What is the remainder when t + -1 + a + 1 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 53*i**5 + i**3\/3 + i**2 - 146*i + 2453. Find the first derivative of p(r) wrt r.\nAnswer: 1060*r**3 + 2*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 8*g + 25. Suppose 229*h - 49 = 236*h. Give a(h).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 41*a + 1834 = 96*a for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*g + g - 125 = 0, -2*g = 5*v + 167. Let u be (-10)\/35 + (-220)\/v. Solve -u*y - 1\/2*y**3 + 3*y**2 + 4 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 271*y - 274*y - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 9 - (11 + -1)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2513 + 2493. Suppose 0*o - o = 3*q - 11, o - 1 = -q. Put o, 4, 2, i in decreasing order.\nAnswer: 4, 2, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4 = -0*c. Suppose j - 6*j = -370. Let y = j - 72. Solve -y = u + c for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 2*t + 2. Let a be d(2). Let b(r) = -10*r**3 - 28*r**3 - r + r**a + 21*r**3. Determine b(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, 117, 0, -9, -18, -4 in decreasing order.\nAnswer: 117, 6, 0, -4, -5, -9, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o**3\/3 + 2796*o**2 - 2908458*o + 8700228 = 0 for o.\nAnswer: 3, 1893, 2298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -375*y**5\/2 + 65850*y**4 - 941040*y**3 - 5536128*y**2 - 9403392*y - 5160960 = 0.\nAnswer: -8\/5, 20, 336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 855\/4 - 5981\/28. What is the second biggest value in w, 5, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 97515948?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 1980a?\nAnswer: -1980a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x + 5. Let r be p(6). Let u be (-1)\/(-5) + (-158)\/15. Let h = u + r. Which is the second biggest value? (a) -1 (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6322661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 57678, 57679, 57680, 57681, 57682?\n\"Answer: s + 57677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 2*h**2 + 156490788*h - 312981584 = 0.\nAnswer: -78245396, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0 - 4) + 12 - -2) + -34?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7)\/(g*g*g*g*(g\/(g\/g**(5\/6)))\/g*g))**(-2\/79) assuming g is positive.\nAnswer: g**(215\/1659)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 - ((-45 - 0) + -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6369.\nAnswer: 3, 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/10 and 33\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 41966020711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -13*m + 85. Give t(9).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*c + 35*c - 65. Let k(m) = 10*m + 1 - c*m + 0*m - 5. Let g(a) = -2*a - 3. Determine 4*g(f) - 3*k(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/1375704 and -103\/972.\nAnswer: 4127112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 415 a factor of 147489340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n + 50. Let z be 10\/45 - 4\/18. Let f be j(z). Calculate the greatest common factor of 10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 + 277.3\nAnswer: 278.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2 + 1. Let z = t + 10. Suppose -5*r + 99 = -4*r. What is the highest common divisor of z and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 80 = 2*v + 2*v, 2*k = -3*v + 15. Solve -10 - 10 = -2*b + 4*u, -3*u = 4*b + k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47161396?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1833*p - 189*p + 447*p.\nAnswer: -1575*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g - 23. Let t(m) = 549778*m. Give r(t(x)).\nAnswer: 1099556*x - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.026, -1\/3, 3\/4, 4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07704 + 0.1556. Round x to 2 decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 155*f**3 + f**2 + 15. Let k(j) = 31*j**3 + 3. What is -11*k(v) + 2*y(v)?\nAnswer: -31*v**3 + 2*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -2, 3, -4\/11, -0.3 in ascending order.\nAnswer: -2, -1\/2, -4\/11, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 43462144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 7263?\nAnswer: 50841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4060853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -133593 - -275793. Round t to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/7*g**3 - 8\/7 - 16\/7*g + 2\/7*g**4 - 6\/7*g**2 = 0. What is g?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y - 1. Let r be h(4). Let o = -5 - r. Suppose o = -u + 2. Sort 3, u, 2 in ascending order.\nAnswer: u, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 126\/(-108)*3*-6?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -45*d**4 + 43 - 14 + 19*d**4 wrt d.\nAnswer: -104*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -73774 - 84?\nAnswer: -73848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -306.769 take away 9.49845?\nAnswer: -316.26745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 m when two letters picked without replacement from gnzmj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -7 + -4 - (-4 + 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 + 2*u**2 - 1. Let t = 4 - 3. Let p be v(t). Suppose 0 = -4*q - p*o - 1 + 5, 4*o + 3 = 3*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24284277 to the power of 1\/2, to the nearest integer?\nAnswer: 4928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -22*h + 5*h - 39 + 24 + 21. Let g(c) = -8*c + 3. Calculate 13*g(m) - 6*r(m).\nAnswer: -2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 27*b - 112. What is v(-22)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 584*-1431\nAnswer: -835704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**6\/75 - 17*n**5\/100 - 2*n**4\/3 - 8*n**3\/15 + 110*n. Factor a(h).\nAnswer: -h*(h + 4)**2*(2*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - g**2 + (-3*g - g + 2*g)*(2*g - 2*g - 2*g) + (4*g - 11*g - 2*g)*(2*g - 2 + 2).\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 97638 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 155 = -135. Solve n*k + 3*i = -9 + 2, k = 3*i - 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -16*v**2 - 94*v + 603. Give f(5).\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -107 in 5, -13, 4, 0.7?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12\/102*4*(-1)\/(-4)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 59?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k + 17. Let a be s(8). Sort -1, 3, a in decreasing order.\nAnswer: 3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 5. Let w(m) = -6 + 0*m**j + 2 + m**2. What is the tens digit of w(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k**3\/5 - 2212*k**2\/5 - 4421*k\/5 - 442 = 0. Calculate k.\nAnswer: -2210, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (2 - 0)*7\/(-14). Let s(z) = -27*z + z**3 + 56*z + 2 + p*z**3 + 6*z**2 - 25*z. What is s(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 66 - 56. Suppose z + 11 = 3*i. Suppose -3 = -8*u + i*u. Solve f + 4 = -u*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1297\/117843?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and -2067.\nAnswer: -2063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1261004722 and 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/7 + 2733778*f\/7 + 5076968.\nAnswer: 2*(f + 13)*(f + 1366876)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -456d - -4?\nAnswer: -4569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 4*y + 7. Let j be c(-5). Let w(n) = -6*n + 16. Let r be w(-7). Suppose x + r = j*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-1) + (-7 - -3). Calculate the greatest common divisor of 30 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 11, o: 3}. Give prob of sequence oon.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.697 + -0.303. What is the nearest to -0.1 in -1, c, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-6 - -6) - (20 - (-1 + 7))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from {z: 14, o: 5}?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -98.370226 take away -5?\nAnswer: -93.370226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65, 218, 467, 812, 1253?\nAnswer: 1790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 2\/9 (b) 0 (c) 2 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 223*q**4 + 6*q**3 + 3*q - 212. Let f(s) = -445*s**4 - 10*s**3 - 5*s + 423. Let j(c) = 3*f(c) + 5*m(c). What is the first derivative of j(y) wrt y?\nAnswer: -880*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 8:54 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lum when three letters picked without replacement from vmklluklludulvkll.\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, u: 4, m: 3, d: 9}. What is prob of sequence dumm?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -6. Let z(t) = 7*t**3 + 4*t + 4. Let r(v) = -13*v**3 - 7*v - 7. Determine k*r(o) + 7*z(o).\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b, 4*a + 1 + 7 = b. Let d be (-1)\/a + (-2)\/4. Suppose z + d*z - 7 = 0. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.74525 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 18*o**2 + 5*o - 33. Let x be k(-20). Let g = x + 1380. Is 29 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yrey when four letters picked without replacement from llyriiyiliierliie.\nAnswer: 1\/7140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 7. Let c be a(-9). Suppose 0 = 15*k - 123 - 12. Let q(s) = 11*s - 15*s + k*s + 15*s. Let d(v) = -4*v. Calculate c*q(b) + 11*d(b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 308 - 310 = 0. Suppose -5*m - 4*i + 5403 = -n*i, 3*m - i = 3244. What is the hundreds digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1474631956?\nAnswer: 2, 7, 47, 1120541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - a9980b?\nAnswer: -a99808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.79? (a) -1.8 (b) -1 (c) -1.9 (d) -5 (e) 5 (f) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9310090*w**3*z - 3913841*z + 4 wrt w?\nAnswer: 27930270*w**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 37*r**2 - 7. Let b(h) = 19*h**2 - 3. Determine 11*b(u) - 6*y(u).\nAnswer: -13*u**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*3\/80)\/((-18)\/(-15))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -48627 (base 10) to base 12.\nAnswer: -24183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 5*m - 9. Let r be s(-7). Solve 6 = -0*j + j + 4*l, -r*j = -2*l + 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 9*m + 10. Solve 0 = -b + 2*o + 8, 0 = 4*b + o - m - 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*h + 15. Let z be (-12 + h)*(-4)\/10. Calculate the remainder when (2 - -1) + z*3 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26526317.\nAnswer: 26526317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2. Let b(z) = 5*z**2 - 10*z. Let y be 0 - (1 + -2) - 11. Let a(o) = o. Let p(g) = y*a(g) - b(g). Give p(h(w)).\nAnswer: -5*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/8894644 and -101\/808604?\nAnswer: 8894644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 874.4707 years?\nAnswer: 0.8744707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 32 = m - 4*c, -m - 5*c - 21 = 0. Suppose 25 = r + 3*r - h, 0 = -3*r - m*h - 5. Suppose -3 = r*k - 33. Solve -k = -5*s - 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -11*h - 32. Let r be u(-4). Let v be -3 + (-38)\/(-12) + (-14)\/r. Which is the closest to v? (a) -4 (b) 5 (c) -0.6 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**4 - 3*g + 114. Let x(t) = 2*t**3 + 1. What is -2*a(h) - 5*x(h)?\nAnswer: -2*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28807113?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 0*z + 11*u + 45 + 110, 28*z - 52*z + 23*z = -3*u - 41 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 462 divide 136058538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -99, 0.4 in increasing order.\nAnswer: -99, -1\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + -1*(-2 + sqrt(112) + -2)*3 + 1)*1)**2.\nAnswer: -264*sqrt(7) + 1129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7 = 4*u, -q - 4*q - u = -27. What is the least common multiple of q and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 70 = 11*g. Suppose g*k + 5 = 30. Solve -h - 4*n = 10, -1 = -k*h - 6*n + 3*n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-10))\/((19\/80)\/19). Suppose 2572 - 268 = v*h. What is the smallest common multiple of 48 and h?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 218833 to the power of 1\/2, to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*a + 27, -5*i = 4*a - 14 - 55. What is the lowest common multiple of 2 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 19. Let w(d) = -10*d**2. Determine w(j(t)).\nAnswer: -10*t**4 + 380*t**2 - 3610","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9022103*i**4 - 12174417 wrt i.\nAnswer: -36088412*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 - 56. Calculate the lowest common multiple of l\/(-18) - ((-1658)\/12 + -1) and 3.\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132 divided by 44\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1592123\/9 + 177308. Let s = 405 - x. Which is smaller: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 829.4837 micrograms?\nAnswer: 0.0000008294837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) + sqrt(180)\/sqrt(4) + sqrt(45))\/sqrt(9) - (2 + sqrt(45))**2) + (4 + 0 + sqrt(45))**2.\nAnswer: 12 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116 = c + c. Let x(k) = k**2 - 2*k. Let r = 3 - -2. What is the remainder when c is divided by x(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -5, 4, -4 in decreasing order.\nAnswer: 4, -4, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*p - 46404 = -174*p + 223615. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 12:48 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - 2. Let y = m + 12. Let q = 21786 + -21767. What is the remainder when q is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 7*g**2 - 369*g**3 + 368*g**3 - 2 + 22*g + 0. Let c be u(9). Let t = -27 + c. Solve -t*y = -8*y - 3 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31020317893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2416 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/1245 and 109\/6640?\nAnswer: 19920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t**2 - 4*t. Let y be m(8). Let o = y + 563. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 663453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32562?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -8. Suppose h = 5*a - 23. Solve -2*w - 28 = 3*w - r, 0 = -5*w + a*r - 40 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(54\/(-1110)) + -5. Calculate the highest common divisor of 630 and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19737 is divided by 16668?\nAnswer: 3069","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - 1.1. Let y = -133 + 134. Is n less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2815.0006054 - 2815. Round y to 5 decimal places.\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 342645?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 589480 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-6) - 389\/(-3). Suppose -5*x - 5 - 5 = 0. Let o = z + x. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -6. Suppose -4*q + 8 = -3*q + 5*a, o = -q - a + 16. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*s - 110 = -72, j = -5*s + 26. Solve j = 43*o - 30 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 8*n = 0. Suppose 13*o - 42115 - 13668 = n. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276 - 44 = -c - 3*t, 930 = 3*c - t. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -207046 and 2.\nAnswer: -414092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 8*g**2 - 8*g - 5. Let m be f(7). Let i = 19 + m. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2 + 3 = -3*a, -3*a = -h - 5. Let u(x) be the third derivative of 0*x - x**3 - 1\/12*x**4 - 8*x**2 + a. Differentiate u(t) with respect to t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7084 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34867189 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**4 + h**4 + h**4 + 2*h - 2*h - 2*h**4 + (3 - 3 - 3)*(h**4 + 0 + 0) + 5*h**4 + 35*h**4 - 16*h**4 - 3*h**4 - 2 + 2.\nAnswer: 15*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 211940 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 33047?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11721905 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-3 - 3) + -2 - (-80 + 89).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*l**5 - 5*l**4 - 444*l**3 + 6*l**2 + 431*l - 22?\nAnswer: -1800*l**2 - 120*l - 2664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -150 in 1\/2, -4, -4\/7, -15\/4, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 - 52. Suppose 5*n - 250 = -u, -2*u + l*n + 615 - 130 = 0. Does 70 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700.8563 millennia in months?\nAnswer: 8410275.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(1 + sqrt(325)))**2 + 5)*-1.\nAnswer: -11741 - 360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91621210 by -5.\nAnswer: -18324242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-10)\/(-15))\/((-8)\/108)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3073295261?\nAnswer: 41, 2417, 31013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -36, -3, 4, 5 in increasing order.\nAnswer: -36, -3, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/6)\/(((-1071)\/36)\/17)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 205 = -8*c + d, 4552 - 4437 = -4*c + 3*d for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1466 - -12?\nAnswer: 1478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 731 - 219 = -5*n, 2*n = -j + 477. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1)*(-3)\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3257928*p + 2 - 2 - 3*p**2 - 3257956*p.\nAnswer: -3*p**2 - 28*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -147421?\nAnswer: -147421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 525*q. Let w(i) = -3025*i. Give w(y(f)).\nAnswer: -1588125*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13392*l + 3 + 13779*l - 2 - 1)*(5*l**4 - 4*l**4 + 0*l**4).\nAnswer: 387*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -13*i**3 - 10*i**2 + i - 1. Let a(o) = -24*o**3 - 19*o**2 + 3*o - 2. Let u(x) = 6*a(x) - 11*z(x). What is u(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 691076?\nAnswer: 2, 197, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 10979, -1, -3, 4, 8 in ascending order.\nAnswer: -3, -1, 4, 8, 13, 10979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 18 - 83?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 21 + 127 = 3*r, -122 = -3*r + 2*t. Let d = -26 + r. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 13. Solve j*g = 3 - 7 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0094 times -410\nAnswer: -3.854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 56*b**2 - 197*b + 1965. Determine p(53).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*c - 0*c. Suppose 0*j - 6 = j + 2*p, -17 = -3*j + p. Suppose -2*z + i + 31 = -j*i, 2*i + 14 = z. Solve 4*k = z, -c*y + k + 2 = -4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150 and 2850.\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8 + 312\/40 + 26\/5. Suppose -8*q + 3*q - o + 370 = 0, p = -o. Round q to the nearest integer.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33676 times -2?\nAnswer: -67352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.043*10\nAnswer: 0.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1537 - 1526 - (-1 - (0 + -21))) + -18?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -5. Let i(l) = l**3 - 3*l**2 + l - 4. Let a be i(4). Calculate the greatest common divisor of b and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = n + 3*n. Suppose -2*x + 4*y = y + 13, -2*x - 2*y = -12. What are the prime factors of n - (x\/1 - 25)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -9*j**3 + 4*j**2 + 1208*j + 3337. Determine q(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -780 + 98 = -22*h. Let v be (h + -30)\/((-2)\/(-10)). Solve -5 = -y + 3*k - 2, v*y + 2 = -2*k for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k. Let b(m) = -29 + 43*m**2 + 12*m + 1 + 5. Let g(y) = 3*b(y) + 12*w(y). What is the first derivative of g(l) wrt l?\nAnswer: 258*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 0*m + 0 - 2*m**3 + 4\/3*m**2 + 2\/3*m**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 16*q - 7. Which is the closest to q? (a) -2\/3 (b) -4 (c) -15 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16584549 to 3 decimal places.\nAnswer: -0.166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13)\/(-3) + (-1)\/3. Suppose -j + 24 = m + j, v*m - 78 = j. Solve 4*w - m = -0*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*n + 437, -4*w + 424 = -2*n - 426. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41769 divided by 153?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -148812893.\nAnswer: -2\/148812893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + g. Let i(a) = -4*a**2 + 3*a. Suppose 5*h = 7*h. Suppose 2*y + 3*y - 5 = h. Let c(o) = y*i(o) - 3*t(o). Let x(f) = 2*f. What is x(c(u))?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**2 - 4386*f - 4809249 = 0. What is f?\nAnswer: -2193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1 (b) -133 (c) 5 (d) 2 (e) 0 (f) -240\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of 11*z**7\/210 + 23*z**3\/6 + 8*z**2 - 5. Let g(h) be the second derivative of n(h). Differentiate g(a) with respect to a.\nAnswer: 44*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(15) + -1*sqrt(1215)))\/((-2*sqrt(21))\/sqrt(7) + 1*sqrt(75)))**2.\nAnswer: 5120\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5903000 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g**2 + 5*g + 2. Let o be r(-3). Suppose -5*w + 1 = -o. Solve 5*f - 21 = -0*b - 2*b, -w*b + 14 = 4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-21))\/(1 + 6704\/(-6672)). Let r = 142\/7 - q. Which is the third smallest value? (a) 2\/13 (b) 65 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -9*j - 22. Let y(b) = -10*b - 23. Let f(i) = 7*m(i) - 6*y(i). What is the tens digit of f(-25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**2 - 52164*c - 312855. What is u(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2944048632 to the nearest integer?\nAnswer: 1433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -2*q - 7, -5*q - 4 = -b + 17 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -1\/2, -2, 0, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43693038871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -323*m - 2908. Let z be o(-9). Is z less than 21\/548?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*((-10)\/15 - 0). Suppose -2*d + b*f = -5 + 1, -f - 18 = -5*d. Find the third derivative of -2*h**4 - 20*h**2 - 4*h**d + 36*h**2 wrt h.\nAnswer: -144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -11, -5, 9, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o**2\/3 - 26057*o\/3 + 17370 = 0. What is o?\nAnswer: 2, 26055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -654 + 1084. What is the remainder when p is divided by 161?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 94 - 19 = 0. Let r be (12\/c)\/(2\/(-5)). Are r and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 968*v**4 - 61177*v**3 + 2*v**2 + 4*v + 7138218?\nAnswer: 23232*v - 367062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q. Suppose 5*x + 0*x + 60 = 0. Let w be ((99\/x)\/11)\/(4\/(-16)). Let r(b) = 4*b - 1. Calculate w*r(k) + 5*a(k).\nAnswer: 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -7*r + 8*r - 6*r + 14*r. Let o(s) = 6*s. Determine o(b(w)).\nAnswer: 54*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20448 rounded to the nearest 1000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 35729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*t + 27 + 34 + 47*t + 17.\nAnswer: 33*t + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/34575678 and 119\/265080198.\nAnswer: 795240594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 3*f - 1, 0 = 5*x - 2*f - 14. Let z(w) = -x*w + 4*w - 5*w**2 + w + 2. Calculate z(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q + 5741 = 611. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 35 = -9*c. Which is greater: c or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27896?\nAnswer: 2, 11, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i + 23 = 5*n + 11*i, -8 = 2*i. What is the lowest common multiple of n and 248?\nAnswer: 1736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -60 + (22 - -4) - 45.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 23*h - 51. Let n be m(-20). Suppose -n*d + 419195 = 5*l - 8*d, 4*l + 4*d = 335340. Is 3\/7 + l\/112 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1053 (base 9) to base 10\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 10:32 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -4*p**3 - 939*p + 2. Let t(r) = 9*r**3 + 1879*r - 5. What is 5*c(q) + 2*t(q)?\nAnswer: -2*q**3 - 937*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g - 17. Let l be z(9). Solve -4*a = n - l - 3, n + 4 = 4*a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 10525 + 10632 + 0*r.\nAnswer: 2*r + 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/(-14))\/(4\/14). What is the first derivative of 2*y + 0 + r + 0*y wrt y?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (672\/(-420))\/((-11)\/((-1650)\/(-12))*-1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/60163 - -3188335\/9144776. Calculate the common denominator of t and 31\/19.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + (-25 - -11) + -20.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-18*-11*48\/(-792)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -1. Let b be 2 - (-2 + -1 - -2). Factor 0*d - 4*d**2 + r*d - 2*d**b - 2*d.\nAnswer: -2*d*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632131.\nAnswer: 53, 11927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*x - 9. Suppose -402 = -5*w + j, -x*w + 357 = -j + 115. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457266*q = -457191*q - 3970 - 442 + 1112 for q.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-16) - (-82)\/16. Let a be 2\/7 + (-12)\/(-7). Let x(w) = -w**2 + w**a + 4*w - w**2. Calculate x(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**2 + 6*a**2 - 10*a - 5*a - 12*a**2 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2101412\/5 or 420281?\nAnswer: 420281","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*c**3 + 15*c - c**3 - 23*c - 3*c**3 wrt c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 222, 897, 2008, 3549, 5514, 7897?\n\"Answer: -p**3 + 224*p**2 + 10*p - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.5 - 2. Let o = -1\/15941 - 31879\/47823. What is the second smallest value in o, n, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12379 or 12391?\nAnswer: 12379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p**2 + p**2 + 2*p**2)*(4*p**2 - 2*p**2 - p**2) + 341*p**4 - 696*p**4 - 1336*p**4 as k + r*p**3 + n*p**4 + q*p**2 + j*p and give n.\nAnswer: -1690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64*b + 0*b - 9*b)*(b**2 + 2*b**2 - 14*b**2)*(-3*b + b + 3*b).\nAnswer: 803*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 241195837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 118 - 28a7a9?\nAnswer: -28a691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*d + 328 + 270 = -18 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1342200.\nAnswer: 2, 3, 5, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -409*m**4 + 700910 - 700910 + (-2 + 1 - 1)*(-2*m**4 + m**4 + 3*m**4) - 4*m**2 - 4*m**4 + 4*m**2.\nAnswer: -417*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 - 4)*(3*v - 23 - 2*v - 46) to i*v + j and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-1\/13))\/f**3)**(2\/49) assuming f is positive.\nAnswer: f**(-50\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 10*z + 83. Let j be h(-8). Suppose j*w - 105 - 31 = -2*s, -5*w - 42 = -s. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -241 - -241. Suppose l*c = -11*c + 176. Solve 3*p + c = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8517 and 164662?\nAnswer: 493986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28, -53, -70, -73, -56, -13?\n\"Answer: u**3 - 2*u**2 - 26*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 3:55 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + (3 + -5 - 0). Let x be (-2*(-681)\/h)\/(1\/2). Let s = 659 + x. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 divided by 12446?\nAnswer: 111\/12446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76 + (-32 - -10) - (13 + -1 + (5 - 12)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 5*(sqrt(304))**2*-5 - ((sqrt(114) - (sqrt(114) - (sqrt(114) - sqrt(114)*2) - sqrt(114)))*1 - sqrt(114))\/(6*sqrt(54)))*2.\nAnswer: -15196 + sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2\/9 (b) 2\/15 (c) 0 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -4. Suppose 5*n - 2*n = 12. Let x(b) = -b**2 - 4*b**2 - n*b**3 - 2 - 2*b + 3*b**3. Determine x(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 + 84*n**2 + 78*n + 413. Give b(43).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 + 2*a + 1. Let h(z) = -5*z**2 + 4*z + 2. Let n be 222\/(-148)*30\/9. Determine n*d(v) + 3*h(v).\nAnswer: -5*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-294)*(-3430)\/(-10)*(-6)\/(-35).\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, 4, 5196 in decreasing order.\nAnswer: 5196, 7, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 393.1783ml in litres?\nAnswer: 0.3931783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1950 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -15974462018 + -7727\nAnswer: -15974469745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 5. Let g(c) = c**2 - 3 + 0 - 5*c + s. Let d be g(4). Which is bigger: d or -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 - 5*h**2 + 15*h + 23. Let b be g(-7). Let q(n) = 2*n**2 - 29*n - 24. List the prime factors of q(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 119086, 238135, 357160, 476155, 595114, 714031, 832900, 951715?\n\"Answer: -p**3 - 6*p**2 + 119074*p + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 998334*n**2. Let s(x) = -156*x**2. Give s(y(g)).\nAnswer: -155480640986736*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -12. Let q be 1\/2*(-2)\/3. What is the smallest value in q, w, 0.1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69275986 is divided by 798?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132725746.\nAnswer: 2, 4723, 14051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 46934826?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.138 - -0.038. What is the biggest value in 1, d, 2, 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.3 * -0.033145\nAnswer: 0.1093785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of 0*l**3 - 17\/2*l**2 + 0*l**4 - 62*l - 17\/20*l**5 + 0 - 1\/30*l**6. Differentiate v(k) with respect to k.\nAnswer: -4*k**3 - 51*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4667280 to the power of 1\/2, to the nearest integer?\nAnswer: 2160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1452 and 70?\nAnswer: 70.1452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 261731450?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 139*a**6\/6 - 54*a**3 - 51. What is the third derivative of v(b) wrt b?\nAnswer: 8340*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 19 = 3*c - 5*f, -4*c - 5*f + 16 = 0. Let l = 12 - 18. Let u be 0\/(l - (4 + -8)). Sort u, -5, c in descending order.\nAnswer: u, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/((h\/(h\/(h*h\/h**(-3)*h)))\/h)*h*h**5)\/h**31)**(-30))**31 assuming h is positive.\nAnswer: h**26970","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(24\/(-405)) - 1*3?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + (sqrt(68) + -5 - sqrt(17)) - ((sqrt(68)*-2 - sqrt(68))*-5)\/sqrt(4))**2.\nAnswer: 168*sqrt(17) + 3367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6)\/(-32)*(-2)\/(-3) + 311196\/32?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22685 take away -0.2?\nAnswer: -22684.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1796 and 1692281?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13137 divided by 87\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -641236 or -640476?\nAnswer: -640476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2522 + 2520. Let m = -0.1 + 0.1. What is the nearest to -1\/6 in -1\/6, p, m?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6.61 times -248\nAnswer: 1639.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 16*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 5*i**2 - 5. Give o(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -245*q**2 + 138*q**3 + 99*q**2 + 2*q**4 + 128*q**2 wrt q.\nAnswer: 48*q + 828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t**2 - 1619*t + 30902. Determine m(21).\nAnswer: -451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-125)\/(771750\/(-84)))\/(9*(-20)\/(-84))?\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 (base 9) in base 12?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + 4*v**2 - v + 2. Let x be s(2). Let n(p) = 5*p + 6. Calculate the remainder when n(x) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 3.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + sqrt(3))*-1.\nAnswer: 5 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 328 and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 9*u - 12 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 113, 107, 101?\n\"Answer: -6*v + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 3*r + 10*r = -143 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -20023?\nAnswer: -20020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -14803746 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2020 + 13?\nAnswer: -2005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.2 - -4.9. Let h = 3.5 - u. Let y = -4 - -1. Which is the closest to h? (a) y (b) 1\/6 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*(sqrt(30) + sqrt(90)\/sqrt(3))*4)\/(((sqrt(10) - (sqrt(30) - sqrt(210)\/sqrt(7))\/sqrt(3)) + sqrt(10) - sqrt(10)) + sqrt(30)\/(sqrt(24)\/sqrt(8))).\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 1. Let s(l) = -2*l - 8. Let x(v) = s(v) + 4*y(v). Let i be x(-5). Find the second derivative of -13*g - 14*g**2 - 7*g - i + 6 wrt g.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*sqrt(245).\nAnswer: -2 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.3 and 0.042.\nAnswer: -3.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 46 times -529120\nAnswer: -24339520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q - 5*q + q. Let d(w) = -4*w**2. Calculate d(o(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -65 and -38178779?\nAnswer: 38178714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from krkkrrrkrkrr. Give prob of picking 2 k and 2 r.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-31 + 30)*(-16)\/24*6 + (33 - -1)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2255\/61 - 6704\/183. Factor -b**2 + 0*b + 4\/3 - a*b**3.\nAnswer: -(b - 1)*(b + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-5) - -1*1. Let b(f) = 7*f**2 + 3 - f - 4*f**2 - q + 3*f**3. Does 15 divide b(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.712 + -2.312. Put 2\/17, a, -3 in decreasing order.\nAnswer: a, 2\/17, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1115.5+2411\nAnswer: 3526.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -82 - (-1)\/2*4. Let c be (-10)\/4*544\/m. Suppose -4*f - 4*o = -72, 2*f - o - 25 = c. Solve 0 = 2*r - 5*d - 35, -r - 4*d - f = d for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 371151?\nAnswer: 1113453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 567497 or 567513?\nAnswer: 567513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 - -25. List the prime factors of 236 - (-2 - (p + -1 - 5)).\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3 - 4 = c, -4*y + 4*c = 4. Solve 0 = y*l - 3*l - 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 14*g + 6. Suppose 2*q - q = o + 9, 5*o = q - 1. Let s(w) = -5*w - 2. Calculate q*s(l) + 4*m(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3320*g - 122511 = 3649 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18524*k - 12627*k + 3203 - 3203 + 28456*k to d*k + t and give d.\nAnswer: 34353","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 5*m - 9, p - 5*m - 27 = 3*p. Let i be p\/(-3*3\/12). Calculate the highest common factor of 12 and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 12. Let w be (j\/(-10))\/((-2)\/(-10)). Solve -h - 4 = -w*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0.2. Let f = 189 - 188.6. Let l = 2 + -2. What is the second smallest value in v, f, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/9 + 422*o\/9 + 428\/3.\nAnswer: -2*(o - 214)*(o + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5081\/13 - (-154)\/1001. Let d = 391 - p. Suppose y = 3*n - 1, 3*n = -y + 4*y + 3. Put y, d, 5 in increasing order.\nAnswer: y, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 15 = q - 0*q, 3*q = -9. Let x = -2 - j. Solve -s - 6 + 18 = x*u, 2*u - 4 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1 (b) 0.03 (c) -1 (d) -2 (e) 129\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.796877 millennia to months.\nAnswer: 9562.524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 10:58 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -895*m*u**4 - 531*m*u**2 - 3*m*u + 3*u**4 wrt u.\nAnswer: -21480*m*u + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1138176985?\nAnswer: 5, 11, 20694127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (765\/150 + -3 + -2)\/((-1)\/(-430))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -20*x + 166. What is d(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**3\/7 - 75*d**2\/2 + 1038*d\/7 - 4753. Factor y(n).\nAnswer: 3*(n - 173)*(n - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1219 - 783. Suppose -3*s + m = -m - i, -143 = -s + 3*m. Let p = 230 - s. What is p rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348412 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 25*j - 4*j. What is the common denominator of 67\/14 and ((-755)\/380 - 0) + 6\/j?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4779*n**6 - n**2 - 8450 wrt n.\nAnswer: -573480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9473 * 0.03.\nAnswer: 284.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**4 - 15*q**3 + 650*q**2.\nAnswer: -5*q**2*(q - 10)*(q + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/123637316 and 45\/48136.\nAnswer: 247274632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34.0526 + 0.0526. What is the nearest to -2\/9 in o, 0.3, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 + 28. Factor 1\/4*z - 1\/4*z**y + 0.\nAnswer: -z*(z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*m + 1280903 - 398259 = -0*m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3)*(-2*t**2 + 5*t**2 - t**2)*(-16*t + 16*t + 6*t**2) + (18*t**2 + 12*t**4 - 18*t**2)*(1 - 1 + 1).\nAnswer: -24*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.371 in -4\/7, -9, 2, -3, 0.2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.47, 2\/9, 0.0268, -18\/25?\nAnswer: 0.0268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 185*j - 161. What is the remainder when 62 is divided by f(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128863008 divided by -3.\nAnswer: 42954336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*s - 2*s + s + 7*s - 537 - 90 in the form b + l*s and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -451521944 divided by 8?\nAnswer: -56440243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(20)\/sqrt(4)*-4.\nAnswer: -4*sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 17 = 6*o - 3. What is the remainder when (0 - 14)*(-12)\/8 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -672*q - 109*q = -207*q + 6314 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-3*4*sqrt(77)*1)\/((sqrt(112) + (sqrt(112) - (sqrt(112)*3 + sqrt(112))) - sqrt(112))*4*-4).\nAnswer: -5*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10976 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -508bb (base 12) in base 2?\nAnswer: -11001101000001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**3 - 5*p**3 + 2*p**3 + 3*p + 3*p**2 + 2. Calculate n(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6450.39521759 - -6596.673327. Let o = q + 30.72187169. Let d = -177 + o. Round d to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -738 + 19924\/27. Calculate the common denominator of h and -97\/984.\nAnswer: 8856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -50*q**3 + 9*q**2 + 11*q - 5. List the prime factors of a(-4).\nAnswer: 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108)*-2)\/sqrt(4) + sqrt(27))\/(-4*(sqrt(9) + 2*sqrt(9))).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 2 f, and 1 y when four letters picked without replacement from {k: 1, y: 2, b: 8, f: 2}.\nAnswer: 16\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(2 - 0) + 41. Let g be (3\/(-3))\/1 + -2. Let y = g + 6. Solve 5*u = -y*j, -5*u + a = -6*j + j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*d**2 + 102*d**2 + 90*d**2 + 97*d**2 - 370*d**2.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 139254 and 139254?\nAnswer: 139254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 1 - (-158 - (-3 + -6)). Round p to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -27519998 - 40\/(-10) - 6. What is j rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -13 and -2971 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 4*o + 10. Suppose o*s + 0*s = 10. Solve -s*y - 3 + 8 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1356552815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (7 - (0 + 4 + 0)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 943 is divided by 53.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -148*v**3 + 2*v**2 + 155*v + 16. What is b(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9013093, -18026189, -27039285?\nAnswer: -36052381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.831321 millimeters?\nAnswer: 831.321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 + -61. What is the nearest to -0.1 in 2, 5, f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*f = 8*f + 56, -4*r + 5*f - 98 = 0. Let o(p) = -p - 20. Let l be o(r). Solve 2*a = l*b - 14, 3*a + 5*b = -2*a - 15 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from gegegegeggeee.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 150 (base 6) to base 14\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 190224 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/140)\/(23\/483).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2517 + -1778. Let a = -506 + b. What are the prime factors of a?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3597*c*i**2 + 9*c*i - 3*i + 3 wrt i?\nAnswer: 7194*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1041 (base 7) to base 10.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -t + 31, 26 = 2*t + 5*d - 11. Differentiate -16 + t*w**4 + 10*w**2 - 12*w**2 + 2*w**2 with respect to w.\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-3)*-1 + 3. Suppose u*y = 923 - 279. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002135 rounded to 6 dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11510*t - 16*t = 360*t + 594300 for t.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2155710?\nAnswer: 2, 3, 5, 181, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, e: 2, f: 7, p: 2, h: 2}. Give prob of sequence fde.\nAnswer: 49\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/2 - 6589*r**3\/2 - 13175*r**2\/2 - 6587*r\/2.\nAnswer: -r*(r + 1)**2*(r + 6587)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 683409\/83 + -8234. Let q = o - -2363\/249. Let h = -9 + q. Which is smaller: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(132) - -2*sqrt(132)) + sqrt(132))\/sqrt(432).\nAnswer: -4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/125)\/(1\/7*1085\/(-34100)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11184974 is divided by 317.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*c**3*z**2 - c**3*z + 5*c**3 + 2*c**2 + c*z**3 + 1240*c*z**2 - 288*c*z + c wrt z?\nAnswer: 6*c**3 + 6*c*z + 2480*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (6\/6)\/((-3123)\/(-694)*2\/(-207))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 155 = -a - 2*a, 4*p = -8. Suppose -3*n = 4*j - 1757, 5*n - 10*n - 1325 = -3*j. What is the highest common divisor of j and a?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + -5 + sqrt(720) + 1 + 3 + sqrt(720) + 1 + sqrt(720))**2 + 4.\nAnswer: 11524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6 = -6. Suppose s - y = -2*y + 8, 3*s - 3*y = k. Solve -5*u - 5 - s = -2*t, u - 5 = -t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 315 from -0.288865.\nAnswer: -315.288865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4779442 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.6, 0, 3, 0.1, 1\/8, 4\/7, 44\/7 in descending order.\nAnswer: 44\/7, 4.6, 3, 4\/7, 1\/8, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -420 or -2948\/7?\nAnswer: -2948\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/10810 and 7\/92.\nAnswer: 21620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -526 - -10184. What are the prime factors of x?\nAnswer: 2, 11, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5896501376142400*w**3 - 11793002445130080*w**2 - 614309436*w - 8.\nAnswer: 4*(w - 2)*(38394340*w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -31619, -63127, -94635, -126143, -157651?\n\"Answer: -31508*s - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48 + -53.8. Let r = c - -6. Sort -2\/23, r, -0.3.\nAnswer: -0.3, -2\/23, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhdd. Give prob of picking 2 h and 1 d.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 14916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.227 times -43.564?\nAnswer: 53.453028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10754 - -23853. Suppose -13*b = -p - 4984. List the prime factors of b.\nAnswer: 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 858686 to the power of 1\/2, to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + 3. Suppose 0 = -4*q + i + 12. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 15 - 1)*(-h - 2*h + 0*h)*(-h**2 + 2*h - 2*h).\nAnswer: 39*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -27 times -27472\nAnswer: 741744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 1275*b**2 + 2197*b + 2197. Determine u(-1).\nAnswer: 1275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -10452.\nAnswer: -5\/10452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*(o\/(o**20*o))\/o*o\/(o\/(o**9\/o)))\/((o**(10\/13)\/o)\/o*o*o**(2\/15)) assuming o is positive.\nAnswer: o**(-2126\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0444? (a) -0.5 (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + x**2 - 2*x + 1. Let g be d(-2). Let u = g + -6. Calculate the common denominator of 58\/5 and 16\/u - 10\/25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**3 - 8*d**2 - 4*d - 9. Let a be g(7). Suppose -a = -12*y + 139. Suppose 11*i - 149 + 28 = 0. What is the greatest common factor of y and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5 = -2*v - 5, 0 = 3*v. Calculate the common denominator of -32\/11 and ((-11)\/(-77))\/(d\/118).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 4*i - 6. Let d(o) = -o - o**i + o**2 - 2 - o**2. Suppose 0 = 3*w - 3*c - 6, 6 - 31 = 5*c. Give d(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.474\nAnswer: 0.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -9\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 17*z**3 + z**2 + 4*z + 2. Determine r(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - 2 + 2 + (2*j + 0*j - 4*j)*(0 + 2 - 3) - 3*j - 2*j + 6*j)*(2*j + 2*j - 5*j + (-1 - 4 + 4)*(-6*j - 3*j + 4*j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 143*s**2 + 2*s + 8. Let h be a(-2). Suppose 0 = -2*k + h + 560. Suppose k = y + 3*y. What are the prime factors of y?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 664\/1553 or 2?\nAnswer: 664\/1553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-2))\/((-11007)\/(-2202) + -5). Let z = -366 + h. Sort -2, 29, z in decreasing order.\nAnswer: 29, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of y**4\/6 - 2*y**2 + 34*y. Suppose -5*w = 5, 0*w + 26 = t + 2*w. Let x(s) = 10*s**2 + 16*s**2 - t*s**2. Calculate x(g(p)).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14.914669171 and 5?\nAnswer: 9.914669171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-4))\/q)\/(q*q*q**(1\/2)*q*q*q*q))**(-3)\/(q*q\/(q*(q\/(q**(2\/19)*q))\/q*q)*q\/((q\/q**(-2))\/q*q)*q*q*q*(q\/q**(-1))**(4\/9)) assuming q is positive.\nAnswer: q**(1541\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 18*t**2 + 5*t + 5. What are the prime factors of i(-10)?\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.065 - 0.065. Let h = -33\/31 + 227\/155. Which is the third biggest value? (a) -27 (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -712567790 divided by 635?\nAnswer: -1122154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -19*b - 22. What is f(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -974.365 plus 0.0425?\nAnswer: -974.3225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122833834.\nAnswer: 2, 71, 197, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29416779 is divided by 522.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -120564?\nAnswer: 120570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -909417026 - -0.3?\nAnswer: -909417025.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 1420.\nAnswer: 15620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*m**2*q**2 - m**2 - 202*m - 4*q**2 + 1199*q - 14 with respect to q.\nAnswer: 6*m**2*q - 8*q + 1199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7376 and 2113876.\nAnswer: 3897987344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 84363 a multiple of 279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/290989 and -27\/68468.\nAnswer: 1163956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 6*l - 4. Suppose 3*g - g + 20 = 0. Let u be p(g). Is -4 + -2 + 1 + u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.03522 and -7755889.\nAnswer: -7755889.03522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 2 b, and 1 j when four letters picked without replacement from bjzzhvvhhbvzhjf?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y**(1\/12))*y**(-1\/11))\/(y*y**11\/y*y*y**(-19)*y) assuming y is positive.\nAnswer: y**(901\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13684 divided by -2.\nAnswer: -6842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1807.93 millimeters?\nAnswer: 1807930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -78*i**3 - 13*i**2 + 3. Let s(g) = 24*g**3 + 4*g**2 - 1. Let c(w) = 2*d(w) + 7*s(w). Let r = -3 + 2. Give c(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5*c - 19, 2*b - 3*c - 25 = -2*b. Suppose -b*r + r + 2253 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 2*o. Let g(q) be the third derivative of -q**5\/20 - 3*q**4\/8 - 3*q**2. Calculate 2*g(k) + 9*j(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 + 450*h - 462*h - 1 + 11*h**4 + 8*h**2 wrt h?\nAnswer: 132*h**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*s - 3956, -1869 - 109 = -2*b - 2*s. Calculate the greatest common divisor of b and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rp when two letters picked without replacement from egtrpgggt?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30370?\nAnswer: 2, 5, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -14*w + 5 - 8*w + 0. Is q(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -24*i**2 - 6476*i - 24508. Give o(-266).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 10:47 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (39\/(-21) + 2)*-1. Let u = -1.0935 + 0.0935. Which is the nearest to -2\/5? (a) t (b) 0.05 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 q when three letters picked without replacement from {q: 3, c: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, d: 12, h: 1}. Give prob of picking 3 d and 1 h.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2812.\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q**(2\/11)*q))\/q)**13 assuming q is positive.\nAnswer: q**(-455\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 28506.36 and 0.4.\nAnswer: 28506.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 - ((-1)\/2)\/(2\/(-4)). Suppose s + 2*c = f*s - 6, -s = 3*c + 5. Solve -16 = 2*o - 4*i, 2*i = -2*o + s - 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 8*n**2 - 8*n - 4. Let m be d(-7). Suppose -m*v + 266 = 2*t - 735, 5*v + t = 1673. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by -9865.\nAnswer: 28\/9865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5016.\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 + 0.53. Let c = 0.3 + -1.3. Put c, s, 0 in descending order.\nAnswer: s, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -255 - -309. Let v be m\/20 + 198\/(-165). Find n such that -3\/2*n + 3\/8*n**3 + 3\/8*n**2 - v = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 1:43 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*o + o. Let m = 6 - o. Suppose -4*n + 40 = -m. Calculate the remainder when 17 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -447 - -855. Calculate the greatest common factor of z and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02 + 3.98. What is the closest to d in 1\/4, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -233230 (base 4) in base 7?\nAnswer: -11620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2031.2133 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -375 - -387 - (4 + (-4 - -39))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -5. Suppose -4*t = -3*x - 2 - 21, 3*x + 13 = -t. Suppose 2*l - t*i - 2 - m = 0, -5*l + 2*i = -5. What is the closest to 0.1 in 9, l, 5\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*z**4 + 6*z**3 - 1775398*z**2 - 8*z + 51386785 wrt z.\nAnswer: -24*z**2 + 36*z - 3550796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-168)\/(-60) - 2\/(-10). Suppose -f*j - 6372057 = -4*q + 7727951, 5*j = 2*q - 23500004. What is j rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 150 and 30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11952 + 11965. What is the remainder when 15 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1\/(-6)*(4 - -14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39926 + 198982\/5. Let a(y) = -32*y + 2. Let v be a(-4). Let w = r + v. Are w and -1\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -31*t + 75*t - 353, -45 = -5*t + 5*a for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(18)\/sqrt(6))*-5.\nAnswer: -5*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36724, -37108, -37492, -37876, -38260?\nAnswer: -38644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -101, 2, 15, 128, -138 in increasing order.\nAnswer: -138, -101, 2, 15, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 818, 820, 822, 824, 826?\n\"Answer: 2*q + 816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 21305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + s = 90, -2*x + 7*s + 34 = 2*s. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - b**2 - b. Let k(f) = 10*f**3 - 9*f**2 - 10*f + 286. Calculate -18*d(o) + 2*k(o).\nAnswer: 2*o**3 - 2*o + 572","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1445, 3, 2, -4, -86.\nAnswer: -86, -4, 2, 3, 4, 1445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 21 - 48*b**2 - b**3 + 40*b + 16 + 75*b**2. What is the tens digit of f(28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u**3 - 2*u**2 + 2*u - 2. Let b(h) = 4*h**2 + 0*h**2 + 9*h**3 - 5*h + 5 + h**2. Let a(x) = 3*x - 1. Let s be a(1). Determine s*b(n) + 5*c(n).\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (78\/(-20))\/((-16)\/10) and (-32)\/6384*-19 + 4006\/(-168)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**7\/210 + n**5\/60 + 5*n**2. Find the third derivative of z(u) wrt u.\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25906100 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -13*d + 22. Calculate i(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 347 - 355.62. Let z = -8.6200249 - m. What is z rounded to 6 dps?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**(1\/2)*t))\/t)**(-9)\/((t**(-5\/3)*t)\/(t\/t**(-1))) assuming t is positive.\nAnswer: t**(151\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 53908 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*m**4 - 2342 + 2342 + 596*m**4 - 124*m + 594*m**4 wrt m?\nAnswer: 14112*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 479, 2 in ascending order.\nAnswer: 2, 5, 479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - s - 3 + 0*s)*(1 + 1 - 1)*(84 - 84 - 214*s)*(5*s - 5*s + s).\nAnswer: 214*s**3 - 428*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 51782241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7007501 nanograms to grams.\nAnswer: 0.0000000007007501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5.2, -3\/7, -0.67, -0.4, -0.5?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 41*a**2 - 10. Let m be u(-8). Suppose 16902 = 16*f + m. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 15*r - 32*r + r)*(r - r - 2*r + 0 + 0 - 2*r + (-r + 4*r - 2*r)*(-1 + 0 - 1) - 2*r + 0*r + r + 4*r - r - r).\nAnswer: 230*r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*d - 32*d + 3*d**3 + 0*d**3.\nAnswer: 3*d**3 - 81*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-14) - (9\/7)\/(-3). Suppose -42 = j - 5*j + 2*w, -15 = 3*w. Calculate the greatest common divisor of j and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**2 - 552 + 265 - 1053*v + 288 in the form l*v**2 + s + m*v and give m.\nAnswer: -1053","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 6*sqrt(34)\/sqrt(2) + -3.\nAnswer: 2 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: a (base 15) to base 12\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00052083 rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + 3. Let g be (-1100)\/(-52) + 6\/(-39). Let x be 50\/q - (-9)\/g. Solve -x + 6 = -2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-3)*1*(-1)\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 53586 and 22671?\nAnswer: 589446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188496 is divided by 1278?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -17*q - 1416. Let z(r) = 14*r + 1416. What is -4*p(b) - 5*z(b)?\nAnswer: -2*b - 1416","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 14 = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 + 4*u**3 + u**3 - 3*u**2 + 4*u**2 to g + d*u + q*u**3 + x*u**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 12*n + 21 = -9*n, 0 = -4*m + n + 23. Let g(d) = d**3 - 5*d**2 - 2*d + 5. Calculate g(m).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 115 = 6*f. Let h = -36 - f. What is the remainder when h is divided by 165\/4 - 2\/8?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 191362 and 5870.\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5730768820 rounded to the nearest 1000000?\nAnswer: 5731000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2) + 2 - (10 + -11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/(j\/(j*j\/((((((j**(-1)*j)\/j)\/j)\/j)\/j)\/j))*j*j))\/j)**14)**(-2\/85) assuming j is positive.\nAnswer: j**(-28\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(1\/(-12))\/((-12)\/(-32)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*-28*1*(-4)\/6. What is the highest common divisor of 8 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuut when four letters picked without replacement from {t: 1, u: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17094 and 18046.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4*p + 32 = 0, 4*p - 11 + 3 = 0. Let h(i) be the first derivative of 5*i**2 + 4 + 11\/3*i**3 + 1\/4*i**4 + 3*i. Calculate h(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -154916 != -155563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 + 432*k**2 + 1676*k + 1248.\nAnswer: 4*(k + 1)*(k + 3)*(k + 104)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/3*11\/(-11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4717909672?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 76*g + 1096. Determine j(-14).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 0. Suppose 15 = -3*h + 8*h. Solve h*i + i - t = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/13 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -10 - 4*g**2 + 4*g**3 - 6*g - 5*g**3 + 12*g**2. List the prime factors of c(6).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19.619 or -0.528?\nAnswer: -19.619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l + 19*l - 5*l - 5*l - 8*l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*x - 180*x + 32*x.\nAnswer: -175*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2190, -2904, -3618, -4332, -5046, -5760?\nAnswer: -6474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -185.23 - 9.77. What is the closest to -0.2 in 0.1, s, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 4 + 8 + 62*j in the form u*j + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 12 = -4*u, 2*u = 7*x - 4*x - 14. Suppose -x*d - 3 = -2*o + 1, 3*o + 3*d = -6. Solve -2*n + 5*n - 12 = o, l - 4*n = -15 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 bigger than -12788?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (246\/328)\/(80\/(-576)*3*(-4)\/(-2))?\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2934 = -16*q - 2758. Solve -q*w - 12 = -8*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**4\/12 - 13*j**3\/6 - 4*j**2. Let s be f(-9). Let l = 735 - 731. What is the second biggest value in -1\/7, l, 0, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + m - 5*z = 303, z = 4*m + 285. Is (-1171 + -1)*306\/m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3105 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*s + 720 = 0. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.07 - 0.06. Let u be (-18)\/48*(-2)\/(24\/14). Let y = u + -15\/16. Which is the closest to y? (a) -0.5 (b) 3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*120.\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-480)*-4 - (-170)\/24.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44893222 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 11*z + 89*z**2 - 46 + 1 + 7 + 16. List the prime factors of d(4).\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/75 - 4551\/205?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -11 + 1 - -15) + -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*((f\/(f*f**(-1\/15)))\/f*f)\/f*f)\/f**(-2\/65))\/((f**(5\/9)\/f)\/f*f\/f**(-19)) assuming f is positive.\nAnswer: f**(-10213\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*c - 4, -3*j + 3*c - 4 = 8*c. Let k be (j\/(-4))\/(14\/(-21)). What is the third biggest value in k, -0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*d = 0, -12 - 4 = 3*i - 5*d. Let o = -1\/432 + 2485\/432. Find the common denominator of 862\/(-70) + i\/7 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 635*q**2 + 4*q**4 - 322*q**2 + 0*q**4 - 319*q**2 + 58*q wrt q.\nAnswer: 48*q**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 676117?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + (sqrt(567) + 1 - sqrt(63)))**2.\nAnswer: 18*sqrt(7) + 568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4278000 to the nearest 100000.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ow when two letters picked without replacement from {o: 3, v: 3, t: 3, w: 2, r: 5}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -4*d, -2*d - 8 = -5*n + 4. Solve 0 = -3*v - 15, -3*w - n*v = -3*v - 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 2:01 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 53437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -2\/5987 (c) -4\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 105 and 80?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7)\/(((-15)\/1509)\/5)?\nAnswer: 7, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -929 = -2*h + 5*j - 224, 5 = 5*j. What are the prime factors of h?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142 - (334 - 332 - (2 - 1 - (2 + 8))).\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 614*i - 50 = 664*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/11, -1898 in decreasing order.\nAnswer: 4, -2\/11, -1898","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1148130.560923 + -436.\nAnswer: -1148566.560923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-5 - (2 - (6 + -4)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, o: 1, b: 16}. What is prob of picking 1 o and 2 b?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.23 + 0.23. Which is the nearest to y? (a) 4 (b) -1 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1886.2 rounded to the nearest 10?\nAnswer: -1890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21296 - 21303 - 21179 - 2*b + 63778.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2725 is divided by 199?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -7 (b) 0.5 (c) -5 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8*1)\/(6\/(-9)). Solve 2*z - p*z - 30 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w - 2*w**2 - 2*w - 13 - 2*w**2 + 5*w**2. Give n(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p + 6. Let h be k(-7). Let z = h + -17. Let n = z + -19. What is the lowest common multiple of 20 and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0288162 + -13\nAnswer: -13.0288162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 3.9. What is the second smallest value in n, -0.4, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 8:34 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 0*o**4 + 1\/900*o**6 + 1\/3*o**3 + 2 + 0*o**2 + 0*o + 1\/150*o**5. Let b(a) be the third derivative of d(a). Factor b(u).\nAnswer: 2*u*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 93 + -14.5. Let a = 78 - j. Let s = 0.3 + -0.2. What is the closest to s in 5, a, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**3 + r**2 + 2*r + 1. Suppose p = -4*p - 20. Let s be p - (2 - 3 - 2). Let h be k(s). Calculate the highest common factor of h and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of o**6\/30 - 19*o**4\/12 - 8*o. What is the third derivative of b(z) wrt z?\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147667231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**2. Let s(y) = 3*y - 9. Let f be s(6). Suppose -2*z - 24 = -8*z. Let g(n) = f*n - z*n - 3*n. Determine r(g(o)).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 53 = x, 4*x - 2331*h = -2336*h - 152 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 8*z**3 + 5*z**3 - 1 - 14*z**3 + 2*z - 3. Let j be k(-2). Suppose j = 7*o - 4306284 - 3407716. Round o to the nearest 100000.\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24*49\/(-14)*(-3)\/51. Determine s, given that 18\/17 - a*s + 98\/17*s**2 = 0.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjndjjnd. What is prob of sequence nd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/10 + 11\/(-5). Let n be ((-13)\/d)\/(8\/16). Let i be -1*386\/(-6) + 8\/12. What is the greatest common divisor of i and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002906 rounded to six decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1120 (b) 4 (c) -1.8 (d) -1\/8 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -1286961*f**2. Let y(t) = -2*t. What is r(y(p))?\nAnswer: -5147844*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -929*j = -917*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -13. Let r be 4 + -8 + g\/1. Solve r = -4*x + 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*p + 3. Let o(i) = -i - 1. Let v(c) = c**2 - 7*c - 7. Determine p*v(n) + 14*o(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28 + -43. Let c = p + 11. Sort c, -2\/5, 2 in increasing order.\nAnswer: c, -2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/18 - -6*2\/(-8). Let j = -0.4 + 0.3. Which is the smallest value? (a) -1 (b) t (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 20 = -110. Suppose -3*u - 35 = -4*u. What is the remainder when u is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 + 1266 = 19*w + 17*w - 20*w for w.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -0.3. Let t be 3*-2*2*(7\/2 - 3). Which is the nearest to 1\/3? (a) k (b) -2\/7 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -184 - -191. What is the highest common factor of r and 161?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5150198 (base 11) to base 5\nAnswer: 4311423124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 98263813?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6*j**2 + 11*j**2 - 6*j + 6*j. Let m(f) be the third derivative of -f**4\/12 + f**2. Give a(m(l)).\nAnswer: 68*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1032)\/(-20) + 3 + -2. Let h = c + -52. Suppose 1\/5*b**4 - 2\/5*b - h*b**2 + 0 + 0*b**3 = 0. Calculate b.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/186 (b) -5 (c) 0.4 (d) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*t**2 + 34*t**3 + 161*t**2 - 35*t**2 - 35*t**2 - 3*t**3 - 27*t**2.\nAnswer: 31*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**5\/180 + a**4\/12 + 247*a**2\/2 + 277*a. Let k(n) be the first derivative of c(n). Determine t so that k(t) = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 2:48 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-30)*5)\/(46\/(-644))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8725 + -8720. Suppose 2*l - 4 = -4*q, -2*l + 2*q + 3 = -1. Put l, -6, k, 3 in ascending order.\nAnswer: -6, l, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -334308218 and -334308218 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) -1 (c) -2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 765*c**4 - 132284.\nAnswer: 3060*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 3*v - 8273, -3*c = -28*v + 29*v - 4967. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -2*t**2 - 22*t + 24 = 0.\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-4)*((-118412)\/(-42) - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*f - 5*l + 44, -32 = 3*f - 2*l. Calculate the common denominator of -2 + (2 - 219\/(-42)) and (-2)\/8 + (-71)\/f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65771 is divided by 205?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 357*t**2 - 125 wrt t?\nAnswer: 714*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7613854 centuries in months?\nAnswer: 913.66248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 652\/(-7) - ((-33376)\/392 + 85)\/(-1 - -2).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 21, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9 + 7 - -5) + 2. Solve 3*i + 21 = -3*w + 6, h*i + 3*w = -15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.09 + -0.19. Let t = 17.9 - b. Let a = 4.9 + -4.8. Which is bigger: t or a?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzzzzdzzuzzpzupzupu. Give prob of picking 1 z and 1 p.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 - 1 - (-14)\/2. Suppose o*u - 3 = 2. Let a = 18 - 18.1. What is the closest to a in -5, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 21a?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 + 2150*g**2 + 1164177*g + 9176328.\nAnswer: (g + 8)*(g + 1071)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 340943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wsjyojwjjoxwwjjsjs. What is prob of picking 2 w, 1 s, and 1 o?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -680 + 1520. Suppose 0 = 6*a - a + l. Let h be a\/80 + 2\/4. Are -2 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 13. Let z(y) be the first derivative of y**3\/3 - y**2\/2 + 12*y + 22. Is z(d) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -1*3\/12.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 d when two letters picked without replacement from {d: 5, x: 8, h: 4}.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/264*(-36)\/2016*32.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -806796\/23 or -35077?\nAnswer: -806796\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of -1\/70*j**5 + 0 + 0*j**2 + 17*j - 1\/21*j**4 + 0*j**3. Solve i(z) = 0 for z.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 642*n = 721*n - 1015*n - 14976 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -5*w**2 - w - 3. Let g be s(-3). Let h = -43 - g. Solve 0 = -h*j - 0*j - 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**3 - 41*g**2 - 30*g + 340. Let o be x(-34). Round o to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2411878062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 93 = -3. Calculate the remainder when 54 is divided by q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10160 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1331)*3)**2 + sqrt(55)\/(1*sqrt(5))) + (2*(sqrt(176) - (sqrt(176) + 3*sqrt(176))) - sqrt(176) - sqrt(176) - (1*sqrt(176) + -2))**2.\nAnswer: -9698 - 146*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -204*b**4 - 50 wrt b?\nAnswer: -816*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21285068 and 1312?\nAnswer: 170280544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.5753904um?\nAnswer: 575.3904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 32\/6*(-24)\/16 - 0. Let y = 20 + -16. Put 11, g, y in descending order.\nAnswer: 11, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a meter in centimeters?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -10*j**3\/7 + 4*j**2 + 6*j\/7 = 0?\nAnswer: -1\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -656 + 678. Sort 1\/9, d, 0.4 in ascending order.\nAnswer: 1\/9, 0.4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.57, -4, 2\/3, -1, 0, -2.\nAnswer: -4, -2, -1, 0, 2\/3, 6.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7361 divided by -17.\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**2. Let l(i) = -2*i**2 + 4*i. Let y(p) = -2 + 5*p**2 - 4*p**2 + 2 - p. Let z(h) = l(h) + 4*y(h). Give n(z(q)).\nAnswer: -8*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -110.797 rounded to 0 dps?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36.947 + -0.053. Let z = o + 36.99999932. What is z rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/25 (b) 1\/3 (c) -38 (d) -0.2 (e) 4 (f) 12.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 h when three letters picked without replacement from ufhzhdg?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -355*l**2 + 714*l**2 + 8*l**3 + 13 - 359*l**2 - 2*l as t*l**3 + f*l**2 + m + o*l and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11221 - -202001?\nAnswer: 220222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 237 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s. Let c be 176\/12 - 6\/9. Let o(u) = -14 + c + 3*u. What is o(k(x))?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382253*w - 601497*w + 49 - 49.\nAnswer: -983750*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a hour in seconds?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*g + 6534 = 31*g. Is g < -364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q - 22. Let i be n(-9). Suppose 0 = -5*r + x + 156, i*r - 88 - 76 = -x. Solve 6*b = -r + 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/(-66*94\/(-8272)*(-2)\/333).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -539, -2251, -5107, -9107, -14251?\nAnswer: -20539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 6*m + 2. Let h be -11 + -18*(-1)\/2. Let i(o) = 5*o + 2. Calculate h*c(s) + 3*i(s).\nAnswer: 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4) + (-390)\/(-4). Calculate the greatest common factor of u and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 76*c**4 - 49*c**2 + 6. Let y(i) = -i**4 - i**2 + 1. Let w(v) = n(v) - 5*y(v). What is the third derivative of w(b) wrt b?\nAnswer: 1944*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 362662?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1625125349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.28351 minus 24066?\nAnswer: -24067.28351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 - 4072*r - 2072648.\nAnswer: -2*(r + 1018)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -0.61, -1\/4, -8, -3, -5, -1\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -4.1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 369043*-0.1.\nAnswer: -36904.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (sqrt(84) + (-3*sqrt(84) - sqrt(84) - sqrt(84))))*1)\/sqrt(12)*1 + -6*(-2 + 1 + sqrt(1008)).\nAnswer: -67*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.03 + -0.26. Let t = 203 - 202.87. Let m = t + h. What is the second biggest value in -3, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 359981144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -56226 in increasing order.\nAnswer: -56226, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n**3 - 14*n**2 + 13*n - 7. Let k(m) = 5*m**3 - 15*m**2 + 14*m - 8. Let r(f) = -3*k(f) + 4*v(f). Let g be r(10). Sort 2, g, -1 in descending order.\nAnswer: 2, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85630216 divided by -383992\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7558.\nAnswer: 2, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 145 in 10.1, 0, -0.5, 0.14?\nAnswer: 10.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 26. Calculate the remainder when 42 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 255*h**4 - 785*h**3 + 825*h**2 - 315*h + 20 = 0. Calculate h.\nAnswer: 4\/51, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, -18, 2\/81 in ascending order.\nAnswer: -18, 2\/81, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1623?\nAnswer: 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*d + 22 = 0, 0 = x - d - 2*d - 9. What is the units digit of (-892)\/6*-1 - (-2)\/x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 11*l**2 + 17*l - 19. Let b(o) be the first derivative of -7*o**3\/3 - 11*o**2\/2 + 13*o + 2. Let y(d) = -8*b(d) - 5*k(d). Is y(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16588539 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*s - 4194 = -537*s + 105*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + r + 16 = -0*l, -4*r - 16 = 0. Let c be (-2 - (-3 + 2)) + l. Suppose m + 2 = -c*t, -m = -t - 5*m + 14. Put t, 4, 0 in decreasing order.\nAnswer: 4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 4:45 AM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 96305565.2 to the nearest 10000.\nAnswer: 96310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 165709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/(-84)*(-6)\/8. Which is the closest to -0.3? (a) 3 (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156 and 24.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a millennium in decades?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4*sqrt(72)*2)\/(sqrt(9) - sqrt(9)*2*2 - sqrt(9)) + 3)**2.\nAnswer: -24*sqrt(2) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4\/8 - 117*x**3\/8 + 3593*x**2\/8 - 9975*x\/8 + 3249\/4.\nAnswer: (x - 57)**2*(x - 2)*(x - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -539612, -539611, -539610, -539609?\nAnswer: -539608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 15\/16, 2\/45, -1588?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16400 and 155080?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 260810012*s**5 - 48951543*s.\nAnswer: 5216200240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*n - 53, 4*n + 2*l = n + 25. Is n\/22*10*61 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -157 - -158. Solve o = 3*x - 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1715303282 to the power of 1\/2, to the nearest integer?\nAnswer: 41416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 7*z**3 + 4*z**2 - z + 6. Let h(v) be the first derivative of 2*v**4 + 5*v**3\/3 - v**2\/2 + 7*v - 79. Determine 6*h(u) - 7*y(u).\nAnswer: -u**3 + 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -5*i**6\/24 + 17*i**4\/24 + 26*i**2. Find the second derivative of w(n) wrt n.\nAnswer: -150*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 714*p + 722*p + 5*a = 1434*p + 39, 2*a - 10 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.187 + -34.887. Let c = -36 - -3. Let d = k - c. What is d rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*s + 55*s = 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350*v + 702*v - 346*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -117\/33860 and 57\/80?\nAnswer: 135440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (662\/(-3))\/(12\/(-90)). Suppose 5*m + 5*i + 1234 = 3994, 3*m + 4*i = z. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31925 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 689 is divided by 372.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9b6 (base 13) to base 7\nAnswer: 4604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-12\/11)*(a**(1\/7)\/a)\/a)\/((a\/a**(-4\/3))\/a**0) assuming a is positive.\nAnswer: a**(-485\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-10 + 21 - (12 + -22))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, a: 2, k: 3, l: 3, n: 2, x: 4}. Give prob of sequence la.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3243 = 28*d + d + 807 for d.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1056)\/99)\/4*(-23)\/((-322)\/441)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57074 - -180303. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 9:14 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -108*s**3 + s**2 + 183*s**3 - 123*s**3 + (3 - 3 + 1)*(3*s**3 - 3*s**3 - 2*s**3).\nAnswer: -50*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (-5 + sqrt(77)\/sqrt(7))) + 3)**2 + -1.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/32 of a day?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2, 8, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) -2 (c) 2\/11 (d) -1\/3 (e) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -51 + 51. Suppose 5*q - 2*c + c - 10 = 0, l = 2*q + c - 4. Suppose 53 = -q*w + 265. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2074392039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 120*t - 3942. What is d(33)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 507981087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**2 + 70*y + 760. What are the prime factors of t(-75)?\nAnswer: 2, 5, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 514459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1 + 414287*c + 3 + 7. Let x(p) = -p**3 + 3*p**2 - 2*p - 1. Let y be x(3). Let o be k(y). Round o to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*(k*k**7*k)\/k*k)\/k)\/(k\/(k*(k**2\/k)\/k))*k\/k**(1\/2)*k**3*k)**(-2\/11) assuming k is positive.\nAnswer: k**(-27\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16851, 17009, 17163, 17313, 17459, 17601?\n\"Answer: -2*i**2 + 164*i + 16689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 256 divide 477440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 1273, 9\/7, 0.05, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3057227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 14*v**2 + v + 16. Let r be a(-14). Solve -w = -3*w + r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19168903 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdy when three letters picked without replacement from {y: 1, d: 1, q: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*m + 564360 = 30*m + 29*m. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.19024716 to 3 decimal places.\nAnswer: -14.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -f16 (base 16) to base 11\nAnswer: -29a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5, b: 9}. Give prob of picking 1 b and 2 h.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-1*sqrt(68) - sqrt(68) - 2*sqrt(68)*-5)*-4)\/((sqrt(100) + 2*sqrt(100))*4 + sqrt(100)*1*6).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6133 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -40*p**2 + 1826*p - 13203. Calculate n(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12316315 + 8414315. Round t to the nearest 100000.\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148440?\nAnswer: 2, 3, 5, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5844.4 - 5845. What is the fourth biggest value in 2, -2, g, -3\/7, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 1\/3*f**3 + 21*f - 3\/2*f**2 + 0. Let y(k) = -k**2 - 7*k - 9. Let r be y(-6). What is v(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 455 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -10*p + 84. Let r be y(8). Solve -8*c + 4*c + 2*u = -2, -r*c + 5 = -3*u for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-92*68\/(-18768))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggfgvgygygffvgg. What is prob of sequence ff?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*c**4 + 118*c**3 + c + 31215.\nAnswer: -20*c**3 + 354*c**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39325 and 553696.\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86285.01ml to litres.\nAnswer: 86.28501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5284*l - 1493*l + 39337 + 109757 for l.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23577, 87286, 191131, 335112, 519229?\nAnswer: 743482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 152*t**3 + t**2 + 7*t - 20. Let u be p(5). Suppose 0 = -36*f + 28*f + u. What is f rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19299.990519 - -19300. What is z rounded to four decimal places?\nAnswer: 0.0095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 386 - 43. What is the derivative of 19 + 15 + i*s - 40 wrt s?\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -13*j**2 + 316*j + 183. Give n(25).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 21. Let h be f(9). Solve -q - h = -25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, p: 2, m: 2, z: 1, r: 8}. Give prob of sequence ma.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5255*-2\nAnswer: -10510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 48.6 - -1.1\nAnswer: 49.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 43 = 4*a. What is the units digit of ((-520)\/(-24) + a\/3)*3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*n + 361 - 32461 = -748*n for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/3)\/(1\/6). Let m = -9\/5 - -88\/35. Which is greater: g or m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41646 is divided by 267?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230080 and 29152.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9287\/52 + -715\/4. Sort -4, d, -0.1, 6 in descending order.\nAnswer: 6, -0.1, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 297 and 324?\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11, -0.0166 in ascending order.\nAnswer: -11, -4, -0.0166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -57878, -115753, -173628?\n\"Answer: -57875*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*5963.\nAnswer: -11926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*h - 4*h**2 + 0*h**2 - h**4 + 2*h + (7 - 1 + 2)*(-2 + h**4 + 2) - 5*h**4 + 2*h**4 + 2*h**4.\nAnswer: 6*h**4 - 4*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -991, -995, -1001, -1009, -1019, -1031, -1045?\nAnswer: -1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b0 (base 13) to base 7.\nAnswer: -263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*j - 86*j + s + 7 = 0, 0 = j - s - 15 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 17269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26)\/42 - 1\/(-3). Suppose -35 = -12*l - 23. Sort -0.05, d, l in descending order.\nAnswer: l, -0.05, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92788, 371136, 835044, 1484518, 2319564, 3340188, 4546396?\nAnswer: 5938194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 + 96. Suppose 3*m + 47 = -4*a - 2*m, 5*m - 7 = -a. Let q = 32 + a. What is the greatest common factor of i and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w = -5. Let s(p) = 18*p - 3. Is s(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 - p + 3)*(3 - 4 + 2) + p + 4*p - 3*p)*(3140 - 1655 - 7905) to x + r*p and give r.\nAnswer: -6420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 183\/3236 or 0?\nAnswer: 183\/3236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/171*3*3\/(-6)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, b: 4, o: 5}. What is prob of picking 1 b and 1 c?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**2 - 76*l = 0 for l.\nAnswer: -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1318 + 1400 = -462*s - 54 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 54101.129 to the nearest 1000.\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-329)\/35 + 9 + (-401)\/(-390) and -97\/52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2650 + -4?\nAnswer: 2645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o + 5. Suppose 3*f + 2*p + 5 = 0, f + 2 + 1 = -p. Sort f, o, 4 in decreasing order.\nAnswer: 4, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.06 + -8. Let s = -0.02 - z. Let u = -0.091 - s. What is u rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -14800*q. Let l(c) = 7*c**2. Give l(s(i)).\nAnswer: 1533280000*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (2 + -4)) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -311248, -311285, -311322, -311359, -311396?\n\"Answer: -37*f - 311211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 928267*f**4 - 182232 wrt f.\nAnswer: 3713068*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + t**2 + 3*t - 2. Let b be r(2). Let o(d) = -d**2 + d + 16. Let j be o(b). What is the third biggest value in j, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14678607803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (17\/(-3)*6\/(-2))\/(-1). Let m = j + 67. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z - 6*z - 4*z**2)*(-4*z**2 + 2*z**2 + 0*z**2) - z**4 - z**4 + 4*z**4 - z**4 - z**4 - 9 + 8 - 3*z**3.\nAnswer: 8*z**4 - 3*z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**2\/5 + 36672*l\/5 + 112069632\/5 = 0?\nAnswer: -6112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(19) - (sqrt(19) + sqrt(76)\/sqrt(4)))*3)**2 + -5.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**8\/840 + n**7\/525 + n**6\/100 - n**5\/150 - n**4\/30 + 5*n**2. Solve g(c) = 0 for c.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 76\/(-8) + (-2)\/4. Let i be (-4)\/f + (-16)\/(-10). Suppose -3*w + 2*w + 5 = 4*j, -5*j = -i*w + 62. Calculate the highest common divisor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83849312 divided by 4\nAnswer: -20962328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 3:20 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 17*x + 80 = 0. Calculate the remainder when 10 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from affmttottkfa. What is prob of picking 2 a, 1 m, and 1 k?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*d*f**4 - 1730809*d*f**2 - 7*d - 2002387*f**4 wrt f.\nAnswer: -600*d*f - 48057288*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 4*r**2 + 2*r - 11. Let o be q(6). Calculate the greatest common factor of 29 and o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -181.2 + 26.2. Let n = -155.2 - h. What is the nearest to n in 2\/9, -4, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 11*t**2 + 6. Let n(b) = 5*b**2 + 3. Suppose -4*u + 28 - 12 = 0. Let r(m) = u*g(m) - 9*n(m). Let k(l) = 2*l**2 - 16*l. Let j be k(8). Give r(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -41*n - 4. Let y be i(4). Let t be (-3 + 0)\/(-6*(-3)\/y). Suppose -t*w - 4 = -30*w. Is w < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 x, and 1 m when three letters picked without replacement from mttxtqb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c. Let x be b(-1). Find the third derivative of 2*r**3 + x*r**2 - r**2 + 0*r**2 - 4*r**2 wrt r.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12b - -2336?\nAnswer: 2207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7596090 and 10128120?\nAnswer: 30384360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -25 = -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10))\/(38\/(-5)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 3, 0, 2\/11, -5, -1018.604?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -18. Let w = -50 - -51. Solve -w = -m*q + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -1\/2, 2\/49, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 11, -4 in ascending order.\nAnswer: -5, -4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)*(t**(-1)\/t*t)\/t*((t**(1\/17)\/t*t)\/t)\/(t\/t**1*t))\/((t**(1\/3))**(-45)*(t\/t**3)\/(t*t**(1\/3)\/t)) assuming t is positive.\nAnswer: t**(632\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 284\/28 - 5 - (0 + 6). What is the nearest to -2 in -5, j, -0.4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 416*z + z**3 - 33 - z**2 - 1020*z + 603*z in the form b*z**3 + r + t*z**2 + w*z and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 5*u = -31, 2*g + 3*u = 5*g - 9 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**4 - 148*m**3 - 1770*m**2 + 37996*m - 36080 = 0. Calculate m.\nAnswer: -20, 1, 11, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in -1\/6, 3, 5, 0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278 is divided by 37.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 675043918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54*g**2 + 10*g**4 - 25*g**4 + 19*g**2 - 7*g**5 + 4*g**5 + 19*g**4 wrt g.\nAnswer: -180*g**2 + 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.65, 6\/2851, -0.4, 5 in descending order.\nAnswer: 5, 0.65, 6\/2851, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1839 divide 219347478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + 9. Calculate the remainder when 30 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46 (base 7) to base 5.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14158280*k*m**3 + 12*m**3 + 9*m**2 - 34589 wrt k?\nAnswer: 14158280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 212*u - 206*u - 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 5:39 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2 - 35*t - 80*t + 6*t. Is 28 a factor of j(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34777364537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -4874, 12, 73, -1 in increasing order.\nAnswer: -4874, -1, 12, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -87 and -977.912?\nAnswer: 85078.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f - 1. Let g(x) be the second derivative of -x**4\/12 + x**2\/2 + 2*x + 4. What is -g(v) + z(v)?\nAnswer: v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, e: 4, z: 1, f: 1}. Give prob of sequence el.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 188583 to the power of 1\/3, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3\/3 - 1997*w**2\/3 - 51190*w\/3 + 36792 = 0. What is w?\nAnswer: -1971, -28, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (((-378)\/140)\/(-3))\/(48\/(-20))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -37*z**5\/20 - 7*z**4\/12 - z**3\/6 + 6*z + 2. What is the third derivative of d(s) wrt s?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 6*c**2 - 4*c - 45. Let k be d(-5). What is the third biggest value in -1\/1110, -2\/13, k?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a gram in milligrams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 19*t**5\/20 - 29*t**4\/12 - 57*t. Find the third derivative of u(d) wrt d.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 11*h**3\/6 - h**2 - 3*h. Is l(10) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15 (b) 3 (c) -5 (d) -3 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u**2. Suppose 2*d - 7 = -3*b - 1, 14 = 7*b + 2*d. Let a(t) be the first derivative of 0*t - 4 - 26\/3*t**3 + 0*t**b. Give a(f(l)).\nAnswer: -104*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -357 * -41.\nAnswer: 14637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 + 169\/3. Let n be 4\/(-14) - (-39)\/63. Which is the smallest value? (a) n (b) -4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -333364 (base 7) to base 2\nAnswer: -1110010111011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**3*w**2 + 4405762*s**3 - 51*s**2*w - 4503*s*w**2 - s wrt s?\nAnswer: -12*w**2 + 26434572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unnynnuxnynnxnyn. What is prob of sequence nu?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/41, 1\/5, 33.35, 2\/9, -0.1.\nAnswer: -0.1, 2\/41, 1\/5, 2\/9, 33.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 66458 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 13*y**2 - 13*y + 14. Let r be n(12). Suppose -33*k = -29*k - 56. Is k bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 0.4, -1, 3\/349, -1\/5?\nAnswer: 3\/349","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -44*t - 116. Let b be z(-10). Let s = b - 308. What is the highest common divisor of s and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 635.4 and 3?\nAnswer: 1906.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3575304 divided by -5.\nAnswer: -3575304\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 90590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 235027?\nAnswer: 235031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (14\/3)\/(6*4\/1224) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 + 13*j + 11. Let l be u(7). Let c(o) = 0 + 7*o**2 - l + 515*o - 519*o. Let d(w) = -8*w**2 + 5*w + 5. Calculate 5*c(r) + 4*d(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 1, -0.03, -2\/13, 97?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.12049 + -0.20049. What is the closest to g in 5, -1, 29?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1820 and 67270.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1381540*h*o**3 + 82260*h - 7 wrt o?\nAnswer: -4144620*h*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/10)\/c*c**5)\/(c**(-6)*c*c**(-8\/7)\/c*c)*(c**(2\/31)\/c**9)\/(c*c**(1\/3))**(-6) assuming c is positive.\nAnswer: c**(20631\/2170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2026167072 to the nearest integer?\nAnswer: 1265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7952 - 7928. Calculate the greatest common divisor of 1112 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35280 divided by -45?\nAnswer: -784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of 15*q**4\/4 + q**3\/3 - 2*q**2 - 3*q + 4176. Give a(-2).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10566097 and 94.921.\nAnswer: 10566191.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -45, 1 in decreasing order.\nAnswer: 1, 0, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 11748993 - 11748993 + 35446*w in the form t*w + a and give t.\nAnswer: 35446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -378*n - 1. Let u be x(-1). Let h = -162 + u. What are the prime factors of h?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 3*h. Let j be i(-2). Let m(n) = n**3 - 11*n**2 + 9*n + 4. Calculate m(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swkwks. Give prob of sequence sw.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(3\/5)\/a**9*(a**(-2\/11))**42 assuming a is positive.\nAnswer: a**(-882\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12498 + 74989\/6. Sort 1\/3, 4, -171, n, -4 in decreasing order.\nAnswer: 4, 1\/3, n, -4, -171","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 60 + -5. Let m = -12 + 109. Let i = -86 + m. Calculate the greatest common factor of y and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j - 4. Let z(q) = -13*q - 8. Let i(r) = -5*t(r) + 3*z(r). Let n(u) = -647 + 654 + 10*u - 3*u. Give -5*i(x) - 3*n(x).\nAnswer: -x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(12\/13)*j\/(j\/j**(-2\/9))*(j**(-9\/5)\/j)**(-6) assuming j is positive.\nAnswer: j**(10238\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -62.75525 + -0.24475. Are i and 65 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 946.091 less than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.114 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 - 12*s - 2. Let g be u(-5). What is the greatest common divisor of g and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 130655635223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4 + 26629*w**3 - 106528*w**2 + 106532*w = 0.\nAnswer: -26633, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 3)*(-2 - 3 + 3) + 1 + 2 - 8 - 4 - 3 + 3)*(2*x**2 - x**2 + 0*x**2 + (2 + x - 2)*(-2 + 2*x + 2) - 5 - x**2 + 5).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 5*b + 207 - 288 = 0, 5*w + 9*b - 8*b - 21 = -3*b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 - 1)*(79*i - 52*i**2 - 79*i) to o + q*i + l*i**2 and give l.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 2*j + 4. Suppose 0*r = j*o - 4*r - 144, 2*r - 156 = -4*o. Let s = o - -19. What is the remainder when s is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 76 = 2*q + 70, 7 = 4*q + 3*d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 4*g + 5. Let a be n(4). Let y(o) = -o + 2. Let b be y(a). Let p(v) = v**3 + 2*v**2 - 5*v. Let x be p(b). Solve 2 = i + x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-18) + 24\/(-135). Let p = -10783 + 10788. What is the nearest to -1\/5 in p, 2\/11, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-567)\/(-6))\/((-7)\/(-14)). Suppose 2*i = 2 + 82. What is the highest common factor of r and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87\/301 + -1\/301. Solve -h - 2\/7*i**5 + 6\/7*i + 6\/7*i**4 - 4\/7*i**3 - 4\/7*i**2 = 0 for i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -5 (c) 2\/3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 20. Let v = 61 - 27. Let i = 60 - v. Put 5, a, i in decreasing order.\nAnswer: i, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 213 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from mbbmbbmmbbbmm.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (4 - 222)\/1. Suppose 3 = -n, 0 = -2*f - 0*f + 5*n + p. Let r = 907\/9 - f. Is -2 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*((-30)\/16 - -2). Let m(v) = -v**2 - 16*v - 24. Let p be m(-13). Suppose -10*n + 20 = -p*n. Which is the third smallest value? (a) -3 (b) w (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p - 9. Let y be g(11). Is (-16)\/y + 5 + 120 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 159161.\nAnswer: 31832.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19*a*h**2 + 2220*a*h - 445*a - 2*h**2 - 6*h + 3494 wrt a?\nAnswer: -19*h**2 + 2220*h - 445","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 + (-14 - -25 - (-12 + 21))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27706?\nAnswer: 2, 7, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqequxxeqxbx. Give prob of picking 2 u and 2 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -112*c + 6. Let f be u(2). Let x = f - -318. Round x to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1312 and 56498.\nAnswer: 903968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8405*g - 13149*g - 9134*g.\nAnswer: -13878*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**38\/(m\/m**(1\/2)))\/((m*m**(-7\/5)*m)\/m)**(-2\/105) assuming m is positive.\nAnswer: m**(39367\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s + s**3 - 35*s**2 - 6*s**2 - 3 + s**3 - 67*s**4 + 69*s**4 + 0 to u*s**2 + m*s**3 + n + t*s**4 + o*s and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -4495.29845?\nAnswer: -4500.29845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170 and 32810.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*p**2 + 8*p**2 + 14*p + 312*p**4 - 149*p**4 - 163*p**4 + 229*p**5 wrt p?\nAnswer: 13740*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 43. Suppose 4*y = -3 + 19. Suppose -y*h + 33 = f - 3, f = -3*h + b. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 2, 11, 24, 41, 62?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, s: 3, u: 5, e: 8, a: 2}. Give prob of sequence ss.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -5*h**3\/6 + 10*h - 13. Let o(q) be the first derivative of j(q). Let i(u) = 2*u. Determine i(o(f)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -50*y**2 - 15. Let m(k) = -23*k**2 - 7. Let t(n) = -6*h(n) + 13*m(n). What is t(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5456 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -14200 (b) -0.2 (c) -10 (d) 3 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1109, 1095, 1081, 1067, 1053?\nAnswer: 1039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1495 + 6161 + 3176*w + 5540 + 263 + 6435*w wrt w.\nAnswer: 9611","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 29*v**2 + 3*v + 2. What is the tens digit of y(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 126 - 2?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-96334)\/294 + (0 - (-1)\/(-3)). Let b = w + 330. Is b greater than 12\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 4, -0.2, -140\/11, 1, 0.06, -1.8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -2\/5, -0.08, 6 in ascending order.\nAnswer: -2\/5, -0.08, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 8*h - 2. Let a(p) = -5*p. Let s(z) = -z. Let q = -58 - -59. Let m(l) = q*a(l) - 6*s(l). Give -6*m(o) + v(o).\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 7*l - 17. Determine d(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-7))\/((-2)\/(-6))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1357 divided by 3.\nAnswer: 1357\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(c**1\/c)\/c*c*c)**(-13\/3)\/((c*c**6)\/((c**(6\/7)*c)\/c)) assuming c is positive.\nAnswer: c**(-134\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3912*g - 3855*g + 15594*g - 3908*g - 3917*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -1) + 10 + -9 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 0*h**4 + 3\/7*h**7 + 0*h + 1\/3*h**3 + 13 + 0*h**6 + 0*h**2 + 0*h**5. What is the third derivative of i(b) wrt b?\nAnswer: 360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 5, 15 in decreasing order.\nAnswer: 15, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, 0.2, 2\/983?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)*-1*-1)\/(sqrt(48)*2 + sqrt(12)) - ((sqrt(27)\/sqrt(9)*-5)**2 - sqrt(288)\/sqrt(6)).\nAnswer: -75 + 21*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 565924 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-450)\/8*(504\/1323)\/(24\/(-84))\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8*d**(-4\/3)*d)**(-30) assuming d is positive.\nAnswer: d**(-230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, o: 1, a: 1, c: 1, u: 2, g: 2}. What is prob of sequence ggc?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5\/7 + 62*l**4\/7 + 1000*l**3 - 81408*l**2\/7 + 179712*l\/7 = 0. Calculate l.\nAnswer: -52, 0, 3, 8, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 28\/6 + (-4)\/6. Let m be 3*2 + (-45 - -52). Suppose 5*l = 18*f - m*f + 35, -5*f = -4*l + 32. Sort 5, x, l in ascending order.\nAnswer: l, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 10 - 40 = 3*f, 2 = -5*f + h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + -23. Let m(q) = -q**2 + 3*q + 3. Let u(o) = 2*o**2 - 4*o - 4. Let w(p) = l*u(p) - 4*m(p). Let c(k) = -4*k. Determine c(w(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*g - 69*g + 5*z + 20 = 0, -z = 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1981359 is divided by 990679.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(-2)*26\/(-1485). Let u = q - -2\/165. Let n = 84 + -81. What is the second biggest value in n, u, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-1)\/c**(6\/5)*(c*c**(3\/14)*c*c*c*c)\/(c*(c\/(c\/(c**9*c)*c))\/c*c) assuming c is positive.\nAnswer: c**(-489\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**3 + 11*r**2 + 25*r + 31. What is s(9)?\nAnswer: -1040","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a litre in millilitres?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1452 = -19*q + 30*q. Calculate the remainder when q is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 445 - (2 + (1 - (-1 + 2))). Suppose -53*q + 52*q + j = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150, 26, 294, 636, 1034, 1470, 1926, 2384?\nAnswer: 2826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -46258867 divided by 46258867\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 1. Let k(j) = 12*j - 10. Calculate -2*k(a) - 20*w(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, -2, -5, 2\/5, 0, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -23, -19, 13, 85, 209, 397, 661, 1013?\n\"Answer: 2*y**3 + 2*y**2 - 16*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 2*m = -19, -18 = -4*a - 4*m + 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -227 and -0.1?\nAnswer: 22.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -37 - (87 - (100 + -58))\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, f: 1, y: 4, b: 1, z: 5, i: 5}. What is prob of picking 1 z and 1 n?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 440811 - 177*h - 434556 + 57*h - 932*h + 3*h**2 - 214*h = 0 for h.\nAnswer: 5, 417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.1, -1, 0.067?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 84 + (3 - (6 - 3)). Suppose -o = -4*w + 4. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 36 = l. Let k be ((-1)\/l)\/((-2)\/(-8)). Factor 2\/3*i - 2\/9*i**5 - k*i**2 - 2\/9 + 2\/3*i**4 - 4\/9*i**3.\nAnswer: -2*(i - 1)**4*(i + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h + 2*h - 12 - 43 + 17 = -2*a, -4*h + 33*a = 516 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*(-4 + sqrt(243) + 1)**2 + (6*-1*-2*sqrt(243))**2).\nAnswer: -135936 - 864*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, -4, 10, 1, 30, -1 in increasing order.\nAnswer: -7, -4, -1, 0, 1, 10, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 656666.1mm in micrometers?\nAnswer: 656666100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 15. Let d = 4 + f. Suppose -d + 3 = -2*b + 3*u, 4*u = 5*b - 16. Solve 0 = b*o + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 + -40. Suppose -3*s = k - 166, -k = -q*s + 3*s - 146. What are the prime factors of k?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3*i - 8 + 2 = 0, -5*i + 10 = -2*l. Let w be (17\/(-17))\/(2\/132). Let a = -62 - w. Solve -a*c + 3*c - 4 = l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, 12, 175, -9 in decreasing order.\nAnswer: 175, 12, 4, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*h + 15*h + 13*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 3 (b) -4 (c) -8 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 325255 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83 - -25. Suppose y + 8 = -y. What is the units digit of (-7)\/14 + s\/y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11571*y**2 + 4235*y**2 - 160539 + 80267 + 80272.\nAnswer: 15806*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 240 and 59346?\nAnswer: 2373840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -462?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by 52?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -6 - (2 + -8 - -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -130341?\nAnswer: -130342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from aaaeaaaaaaaaaaaaaa.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4\/5 - 3594*h**3\/5 + 665024*h**2\/5 - 1969944*h\/5 + 1308512\/5 = 0. What is h?\nAnswer: 1, 2, 206, 1588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -852, 4, -3 in decreasing order.\nAnswer: 15, 4, -3, -852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w*w**(-1\/2)))**(-34)*w**(5\/6)*w**(-3))**(2\/39))**27 assuming w is positive.\nAnswer: w**(-345\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 140*r = 144*r - 18, 0 = 15*r - 75 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1494\/(-27))\/((-6)\/9). Suppose -5*n + g + k = 0, 5*g + 16 + 79 = 5*n. Find the second derivative of 348*s - 329*s + 0*s**5 + n*s**5 wrt s.\nAnswer: 320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (12 + (-12 - 6) - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-60)\/9)\/5)\/((-66)\/(-9))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-6) - 0) + (-322)\/(-69). Suppose 927 = 4*i + g, -5*i + h*g + 1254 - 114 = 0. Let d = 369 - i. Calculate the remainder when d is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1\/f)\/f)**(1\/14)\/(f**0*f**(-1\/10)\/f*f) assuming f is positive.\nAnswer: f**(1\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5455 rounded to the nearest 100?\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 4*k = 0. Let i be (-48)\/((-23328)\/(-15147)) - (0 - 10\/(-12)). Sort k, -1, i, 3 in descending order.\nAnswer: 3, k, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132200 (base 4) to base 9.\nAnswer: -2608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 32*w**2 + 56236*w + 413004. Give i(-1750).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504 is divided by 62.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/6 and -67\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -228251.3 to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1181 - -13009\/11. Let w = 5338\/15 - 1906\/5. Calculate the common denominator of s and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*2\/((-2)\/15).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/4)\/((-2)\/(-8)). Let p be o\/(1\/(-27 - 0)). Let x be (-28)\/(-2) + (-3)\/(-3). Calculate the highest common divisor of x and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -5*s + r, -4*s + 0*r - 4*r + 80 = 0. Let w = 829 + -824. Solve -5*v + s = -w for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + -0.5. Let d = -0.6 - j. Let i = 0.5 - d. Sort -4, i, 2.\nAnswer: -4, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*z**2 - 1400648*z + 215484.\nAnswer: (z - 107742)*(13*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 443315764 to the power of 1\/3, to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/12*((-76)\/8 - -5). Let p = 7 + -6. Let i = -22 + 20. Which is the third smallest value? (a) n (b) p (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -36 (b) -35 (c) -2 (d) 2\/7 (e) 0 (f) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2. Let h(k) be the first derivative of 7*k**6\/360 - k**3\/3 - 2. Let g(o) be the third derivative of h(o). Determine g(d(m)).\nAnswer: 28*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 * -1.939\nAnswer: 2.9085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*t - 0*t. Let j = -12 - -12. Is t bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -319.2 + 121.7. Round r to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 bigger than -60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23045328 to the nearest integer?\nAnswer: 4801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1986593 or -1986592?\nAnswer: -1986593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11 - 5.11. Let n = l + 4.5. Which is the second smallest value? (a) n (b) -0.4 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 75360.2 decades?\nAnswer: 753602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*c = -263, -g - 2*c = -170 + 61. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**2*j**(2\/33)*j**(1\/7)\/j**(-2\/13) assuming j is positive.\nAnswer: j**(7079\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12892 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 12:58 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*c - 72 = 0. Suppose -3*y + 6*y = c. Suppose -2*t + y*r + 49 = 0, -2*r = -5*t - 5*r + 154. Is 29 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/11996 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15349 - 14984. What is the lowest common multiple of 1168 and w?\nAnswer: 5840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -11, -28, -53, -86, -127, -176?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 9*y**5\/2 - 183*y**4\/2 + 727*y**3\/2 - 61*y**2\/2 - 340*y + 150 = 0.\nAnswer: -1, 2\/3, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 2099080.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*g = -69 - 8, -4*h = -4*g + 80. Let i = -20 - h. Suppose i*q = q + 20. Calculate the remainder when 32 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 5*q + 8. Let b = q + -8. Suppose b = 4*g - 11 - 9. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**2*l*u - 1100*a**2*u + a**2 + a*l**2 - 14*l**2*u - 15*l*u wrt l.\nAnswer: a**2*u + 2*a*l - 28*l*u - 15*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 5*c**2 + c + 5. Let a be h(-5). Let n be a + (-2 - -2) - -2. Solve 2*s - 4*s - 4*x = 18, 12 = -2*s - n*x for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.946 (b) 3826 (c) -18 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a233 (base 15) to base 16.\nAnswer: -2d70b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*u + 20*u + 7*u - 6*u + 36*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 3 = -9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*m = -50*m + 520 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - -0.2. Let h = -46.1 + 46.1. What is the biggest value in -4, b, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**2 + 5*h - 6*h + 15*h - 2*h**2 to v + g*h + l*h**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 471, 942, 1411, 1878, 2343, 2806?\n\"Answer: -u**2 + 474*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -612 - -12229. Is p a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 12:53 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2 = -2*j, 0*q + 5*j - 3 = -2*q. Let i = -0.03 - 2.97. What is the second smallest value in 0.3, i, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + sqrt(117)).\nAnswer: -12 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 - 74. Solve h + 4*h = -2*f + 10, m = -4*f + h - 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179, -355, -531?\nAnswer: -707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*k - 420 = 299*k for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) -71 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56124 - -56123.73731. Round f to three dps.\nAnswer: -0.263","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -1 - ((-700)\/45)\/((-58)\/(-15)).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/2)\/((-6)\/120 + 0). Suppose -k*v = -52*v + 1078. What is the remainder when v is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2899358324?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -119\/5 - -24. Let v = -8 - -8. Let k be (v + -2)\/((-10)\/4). Sort k, i, -1.\nAnswer: -1, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4*g. Let v be r(-1). Suppose -28*j + 23*j = -5. Sort j, v, 3.\nAnswer: j, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -75*h - 9385. What is f(-125)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9423, 16343, 20755, 22659, 22055, 18943?\nAnswer: 13323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 5)*(-4 - 4*j + 2*j + 2)*(5 + 9*j - 5).\nAnswer: -54*j**2 - 54*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*n + 30. Let h = n - -25. Let k be (h\/(-8) - -1)\/((-6)\/(-24)). Is k at least -1\/122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28757*x**4 + 25*x - 248 wrt x.\nAnswer: -345084*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -349 (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 16*x**2 - 16*x + 2. Let j be q(-15). Let z be j + 7\/((-14)\/6). Let y be z + -4 + 4 + -2. Solve 4*p = -y + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0 + (-21 + 18 - 43)*(-2 + 3 - 3))*(-4*j**2 - j**2 + 2*j**2).\nAnswer: -279*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 35, 58, 85, 116, 151, 190?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 103 in 0.2, -1\/25, -0.202?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70.9 - 70. Let u = 5.8 - 3. Let q = u - t. Which is smaller: q or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, d: 2, n: 2, z: 3, x: 6}. Give prob of picking 1 e, 1 x, 1 n, and 1 z.\nAnswer: 36\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 16*l - 15. Calculate the remainder when b(-12) is divided by 5*2 + -1 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8172954075*r**5 + 24519488565*r**4 - 1879032*r**3 - 32691816264*r**2 + 2505360*r - 48 = 0. Calculate r.\nAnswer: -1, 2\/52195, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 s when two letters picked without replacement from {h: 1, f: 3, e: 1, s: 5, d: 2}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -32, -192, -628, -1478, -2880, -4972, -7892, -11778?\n\"Answer: -23*w**3 + w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.0633, -4, 11, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3140 is divided by 1009.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/88 and 125\/1151568.\nAnswer: 1151568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -363, -452, -557, -684, -839, -1028?\nAnswer: -1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {c: 6, m: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from ygmjygygmgyjyjjgygm.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-4))\/(2\/(-8)) + -3. Which is smaller: y or -32\/41?\nAnswer: -32\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3554409*r**2 + 340829*r**2 + 744329*r**2.\nAnswer: 4639567*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-3 - -1) - (-3 - (1 + -3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -9. Solve -i + g = -4*w, -w - 20 = i + 3*i for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-40)\/18 - 10\/(-45). Let x = d - -7. Let g(z) = z**3 + 5*z**2 - 1. Let s be g(-4). What is the highest common factor of s and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 8:01 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54953?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52 + -28 - 5) + 1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86738*b**2 + 754708*b?\nAnswer: 173476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 4*c**2 + 2*c - 8. Let z be m(5). Let j(g) = 27 - z + g**2. Let y(v) = -v**2. Determine j(y(l)).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5*q - 19. Let d be r(-5). Let i be (-4)\/12*3 + d. Solve t - 5 = 3*v, -2*v + i = 4*t - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28635, -59661, -90669, -121653, -152607?\nAnswer: -183525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 5131726\nAnswer: -1\/2565863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 7*f**2 + 2 - 3*f + 11*f**2 - 19*f**2 - 5. Determine y(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*u - a = 463, 5*u - 4*a - 774 = 0. Is u a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2894 is divided by 680?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 12:59 PM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307 + 409*b**2 - 2203*b**2 - 669*b**2 + 307.\nAnswer: -2463*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -14. Let w(y) = 0 + a - 4 - y**2. Let i(n) = 2*n**2. Calculate i(w(l)).\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 14. Let t = 8488 + -8481. Which is the third biggest value? (a) 0.4 (b) t (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119003, -119004, -119005?\nAnswer: -119006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27775 is divided by 2314.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -34814481*b. Let g(h) = -10*h. Determine l(g(q)).\nAnswer: 348144810*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 13*t**2 - 30*t - 7. Determine q(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 913817 rounded to the nearest ten thousand?\nAnswer: 910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*a - 10089 = 202*a - 354*a for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 812.9853 milligrams in grams?\nAnswer: 0.8129853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + -2)*3\/((-3)\/44). Is (2*v)\/4 - (-4 - -1) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 58, -190, -596, -1154, -1858, -2702, -3680?\n\"Answer: y**3 - 85*y**2 + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2807011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*1323\/126*2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14148.441 rounded to the nearest ten?\nAnswer: -14150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 1 + 54 + 5. Suppose 4*q - 83 - j = 0. Is q + (2 - (0 + 0)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 365544 to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2173114410 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 644204.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3454644389.\nAnswer: 7, 5059, 97553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7160.9373 milliseconds?\nAnswer: 0.00198914925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.80715 years in millennia?\nAnswer: 0.09880715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - (45 + -4)) + 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -47689.2 and -1?\nAnswer: 47689.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 684 - 250 - 253 - 181 + 110*s.\nAnswer: 110*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.0078, 2\/7, 379 in decreasing order.\nAnswer: 379, 7, 2\/7, 0.0078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 2:04 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1400) - (sqrt(1400) + (sqrt(1400) - (-1*sqrt(1400) + sqrt(1400)) - sqrt(1400))))\/(sqrt(40)\/(sqrt(5) + sqrt(20)\/sqrt(4))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxbb. What is prob of sequence xb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37\/4 + -9. What is the nearest to f in -0.2, 1\/6, -18?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -89, -602, -1993, -4700, -9161, -15814, -25097, -37448?\n\"Answer: -73*c**3 - c**2 + c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 o, and 1 k when four letters picked without replacement from bfknnokkqqkqfkob?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6655 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -15?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 13 = 7, 3*p + 4 = 2*u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(171) + -1)*4 - (sqrt(171)*1 + -5)) + 4 + (-3 + sqrt(171)*-2 - (sqrt(171) + -1 + 5)))*-5)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c + 1126 - 1132 - 2*c + 4*c - 4*c to the form b*c + t and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pbbs when four letters picked without replacement from {b: 3, p: 1, m: 1, s: 3, k: 2}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -3 + 4. Let x be 10 - (m - (3 + -1)). Suppose -5*k + 2*k + 9 = 0. Solve 3*c + 25 = k*n + 1, -5*c = 4*n + x for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 314 - 213. Suppose -102*i = -t*i - 9. Solve i = -4*a + z + 29, 4*a - 5*z = 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 254107 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {u: 3, z: 5}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -107, 1, 2, 5, 7.8, 0.2 in increasing order.\nAnswer: -107, 0.2, 1, 2, 5, 7.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 8*g**2 - 10*g - 11. Let o be b(-10). Let r be (-185)\/o*21\/5. Let k be (-5)\/(-15) - 22\/(-6). Solve -k*i + r = 19 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*(1926\/(-54) - -5). Is s less than or equal to 190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3151 and 225639?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 110 = -4*r. What is the least common multiple of 4 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 10*t**2 - 9*t + 8. Let j = 235 + -246. What is g(j)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w\/((w*w*((w\/w**(6\/7)*w)\/w)\/w*w*w)\/w))*w*w**(-9\/2)*(w**(-6\/5))**31)**(-11) assuming w is positive.\nAnswer: w**(28919\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/200 and 37\/3688538?\nAnswer: 368853800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -313.37047498 + 313.37. Round b to 5 decimal places.\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -0.3 (b) 5 (c) -1\/5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -629, 1069, -2, -65 in decreasing order.\nAnswer: 1069, -2, -65, -629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 343389561.\nAnswer: 3, 114463187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160577 is divided by 1745.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14601211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and 60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65*c*q**3*r - 18*c*q**2*r**2 - 8*c*q*r**2 - 2*c*r + 2*q**3*r**2 - 2*q**3*r wrt q?\nAnswer: -390*c*r + 12*r**2 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*k = 9, -k = -4*s - 6*k + 43. Let p(t) = s*t + 3*t - 4*t + 48*t. Let n(z) = 4*z**2. What is n(p(a))?\nAnswer: 11664*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -20803 (base 9) to base 3\nAnswer: -200220010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c**3 - 6*c**2 - 7*c - 6. Let q(n) = -n**3 - 2*n - 1. Let t(z) = 4*q(z) - u(z). Determine t(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -0.02, 8, -18 in descending order.\nAnswer: 8, -0.02, -1\/3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*j + 14, j = -p + 6*p + 9. Suppose j*u + 26*u - 150 = 0. Solve 0 = u*i + 4*w + 23, -2*i - 5*w = 1 + 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-seven fifths of a gram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4304347 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 9*h - 6. Let j be n(-6). Let z = 16 - 11. Suppose -4*a - 5*b = -7*b - 18, -z*a + 28 = 3*b. Solve -j = -4*d + 4*x, a*d - 3*x - 15 = -4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-4\/9)*r)*r*r**9\/r*r*(r**4)**33)**(-37) assuming r is positive.\nAnswer: r**(-47434\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1603515983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5464 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/125 at most as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/(-20))\/((-1)\/9) and 35\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 4 = 4*w, 18*w - 25*n + 47*n = 25*n + 78 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2587584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 802?\nAnswer: 3\/802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 36 = -10*w. Let v(c) = c**3 + 1. Let o = 0 - 1. Let f(l) = -7*l**3 - 3*l**2 + 2*l - 7. Let t(p) = o*f(p) + w*v(p). Give t(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (13 - 26) + 5 - 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -75 + 71. Which is the nearest to 0.2? (a) -2\/5 (b) r (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 73*k - 1. Let j(v) = 223*v - 2. Determine 7*f(x) - 2*j(x).\nAnswer: 65*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 r, and 1 b when four letters picked without replacement from {i: 5, r: 2, b: 4}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9782, 39147, 88088, 156605, 244698, 352367?\n\"Answer: 9788*m**2 + m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12086480 a multiple of 1528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 586680\/252 - (-4)\/(-42). Suppose 7*p + 319 = m. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-2 + 4\/3). What is the third derivative of -6*q**r + 9*q**5 + 9*q**5 + 2*q**5 - 2*q**5 wrt q?\nAnswer: 1080*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/47, 1, 2\/5609?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 0*z - 1 + 0*z**2 - 1\/3*z**3. Let f(n) = -n**2. Give k(f(m)).\nAnswer: -m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3660 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 9:45 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 145.\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 54*g - 1\/6*g**3 + 0*g**2 - 1\/20*g**5 + 0 + 1\/6*g**4. Determine b, given that z(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 10*o**2 + 10*o. Let a be r(-10). What is the tens digit of (a\/(-2))\/((-1)\/(-1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/605441 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 622316\/5 and 124464 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 96*p**5 + 104*p**4 - 68*p**3 - 64*p**2 + 12*p = 0.\nAnswer: -1, 0, 1\/6, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-6))\/(205\/287)*(-100)\/10.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**4 + 27*k**3 + 25*k**2 - 24*k - 23. Let h(c) = -c**4 + c**3 + c**2. Let n(r) = 3*h(r) - s(r). Determine l, given that n(l) = 0.\nAnswer: -23, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 2, r: 3, c: 3}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10122 (base 4) in base 6?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 + m**4 + 0*m**3 - 2*m**3 + (0*m + 2*m + 3*m)*(0*m**3 - 3*m**3 + 4*m**3).\nAnswer: 6*m**4 + m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19 and 127947?\nAnswer: 2430993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 101\/(-4) - 20\/(-80). Let x = 20 + o. What is the least common multiple of 8 and (12\/x)\/(30\/(-200))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3237522720 a multiple of 3572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 + 0)\/(-1))\/((-85)\/19890*39) - -25.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 3322\/420) + ((-3375)\/(-1134) - 3).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 15013383?\nAnswer: 15013383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 15 = 6*c - c, 4*f = c + 18. Let d(l) = -1 - l + l**3 + 8 + 8*l + 7*l**c. Determine d(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y**2 - 77*y + 14. Let v be l(15). Let o = -7 - 5. Let s be 1 + -2 + v\/o. Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**2\/3 + 108997*d + 1307916 = 0 for d.\nAnswer: -326979, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -6, 1.\nAnswer: -6, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 23.77 * 10\nAnswer: 237.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1764*a + 293*a + 2550*a.\nAnswer: 4607*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -632\/9 - -70. Let q(k) = k**3 - 8*k**2 + 7*k. Let h be q(7). Is s bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - -3) + (4 - 4). Suppose 0 = -t*d + 3*d - 20. Calculate the highest common divisor of d and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - -3. Suppose 11 = 4*a - 13. What is the remainder when 70*(-3 + 21\/a) is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**4\/6 - 3*t + 31. Let f(c) = -3*c + 38*c + 11*c + 6*c. What is a(f(w))?\nAnswer: -5408*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31704, 31706, 31708, 31710?\nAnswer: 31712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 3*l + l)*(-7241 + 7241 - 74*l)*(-23 - 18*l + 23).\nAnswer: 3996*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2858 + -2850. Solve -18*d + l = -16*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, 379.57, -0.5?\nAnswer: 379.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(0 + (-4)\/(-30)))\/((-34)\/(-561)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 0*z**2 - 2*z**3)*(250*z + 357*z - 1132*z - 806*z).\nAnswer: 2662*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 113601911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15487.38ml to litres.\nAnswer: 15.48738","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101 + -100001101011010111011100?\nAnswer: -100001101011010110110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-136 + 136 + 15*p + (-4 + 6 - 1)*(4 - 4 - 2*p))*(-19*p - 471 + 470 + 54*p) in the form x*p + w*p**2 + c and give x.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 x when three letters picked without replacement from vzvdxddzdz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3738080 and 830344?\nAnswer: 3064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-3224)\/49972)\/(1\/(-62))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5 + 3*v + 4 + 4*v - 12*v + 0*v. Suppose -n - 2 + 3 = 0. Give f(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1146 - -10061. Suppose -3*k + h = -5*q, -3*q - 4931 = 2*k - 12415. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**4 + 2*x**3 + 2*x**2 - 3. Let p(b) be the first derivative of -b**4\/4 - b**3\/3 - 23. Let w(v) = 5*f(v) + 10*p(v). Differentiate w(z) wrt z.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 5*i - 3. Let w be n(6). Solve 0 = -5*u + 2*a - w, 3*u - 4*a + 15 = 2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 3*g + 27 = 0. Let f(d) = -d**2 - 10*d - 9. Let t be f(g). Find the first derivative of t + 3*n + 1 - 12*n + 6*n wrt n.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 93*h + 694. Calculate s(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4 = 20. Suppose 5*i + 4*m - g = 0, -4*m = i + 9 - 1. Suppose 0 = 3*r - i*r - 1590. What is r rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b + 10. Suppose 15*k = 12*k + 747. Suppose 6*x + k + 249 = 0. Let s = x + 92. Determine p(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*o - 1393 = -18 - 15 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 98?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**2\/11 - 50*a\/11 = 0.\nAnswer: 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 0, 3*i - 8 - 13 = -j. Let f(k) = k**3 + 11*k**2 + 12*k - 5. Let a be f(-9). Calculate the greatest common factor of a and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + -2*(sqrt(3645) + 2)**2) - (-6*2*sqrt(3645) + 0 + 3).\nAnswer: 1188*sqrt(5) + 29205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -24 + 21. Let 4*k**h + k**2 + 7 - 16*k - 12 - 11 + 3*k**2 = 0. Calculate k.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122 - 122?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(91) - -1*sqrt(91))\/sqrt(7) + (sqrt(637) - (1 + sqrt(637)))) - (-1 + 1*sqrt(1872)*-2))**2 + -3.\nAnswer: 168*sqrt(13) + 2581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-27) + 2\/6. Let p(h) = 29*h + 57. Let i be p(-2). Which is smaller: y or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 1325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(190)\/((1*sqrt(20))\/sqrt(2)))**2 + sqrt(1216)*2 + -3 + -2*(1 + sqrt(1216)).\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 10, i: 1, f: 2, c: 4}. Give prob of picking 3 c and 1 f.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -119, -32, 7 in decreasing order.\nAnswer: 7, 2, -32, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42\/(-3)*(-5 + 0 + 3) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-90)\/135)\/((-39)\/54). Which is the third biggest value? (a) 1 (b) r (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 8*v + 882. Calculate the remainder when 33 is divided by (v\/28*4)\/(-1 - 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 479415253 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 5173 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -17784)\/(185\/74) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 50, 57\/20, -1.\nAnswer: -1, 57\/20, 5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from cmwkmkmmmmmmmmmmcvmm?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s - 33. Let n(y) = y**2 + 105*y - 5. Let v(q) = -2*q**2 - 168*q + 8. Let i(d) = 8*n(d) + 5*v(d). What is i(m(p))?\nAnswer: -72*p**2 - 792*p - 2178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 181 + -317. Let q = 138 + v. Solve 0 = q*t - 7*t - 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*s = -77, 2*v + 4*s - 54 = -0*s. Suppose -v*m = -20*m + 18. Suppose 0 = -3*l - 3 + m. Solve -5*r + l = -0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -3. Let v(s) = -s**3 + 3*s**2 + 2*s + 3. What is the least common multiple of v(l) and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times 5588?\nAnswer: -3911.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*o + o - 1)*(-o**2 + 0*o + 0*o) + (-4*o**2 + 2*o**2 + o**2)*(-5*o + 10 - 10) + 8*o**3 + 16*o**3 - 17*o**3.\nAnswer: 13*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of 3*y**2\/2 + y - 20. Calculate l(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 - 44*t**2 - 44*t - 33. Calculate p(23).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -10*m**3 - 11*m**2 - 11*m + 6. Suppose 39*z + 108 + 48 = 0. Let t(c) = 3*c**3 + 4*c**2 + 4*c - 2. Give z*q(i) - 11*t(i).\nAnswer: 7*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -30 - 60) + -4 + (1 - -3) + 9\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2594, -2489, -2192, -1607, -638, 811?\nAnswer: 2836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 + -55. Let w = 38 + s. Calculate the highest common divisor of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q + 6. Let d(i) be the first derivative of i**3\/3 + i**2 - 2*i + 2. Let j(g) be the first derivative of d(g). Calculate 11*j(x) - 4*l(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*d + 42*d - 40 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 62975206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 10*w**2 + 4*w + 48. Let y be x(9). Suppose -2 = 2*o - 8. Solve -q = z - o*z - y, -3*q = z + 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2005237524?\nAnswer: 2, 3, 1427, 117101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*g + 6. Let c = g - 1. Suppose -3*t**2 + t**c - t - t**4 - t**2 - 3*t**3 = 0. Calculate t.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -38*i + 525. Determine d(6).\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.337761997 rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(99) - sqrt(99))**2 + (6*sqrt(44))**2)*-2.\nAnswer: -3170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 5*a + 5 = 0, 5*a - 20 = -14*v + 15*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 11. Let i be (0 + k\/(-9))\/1. What is the closest to 1 in -0.2, i, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2238673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 3311947?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-21)*758\/2274.\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + 5 + 0*o - 2)*(-456*o - 30 + 870*o - 30 + 62) to f*o + u + w*o**2 and give f.\nAnswer: 1240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 35617249 and 737?\nAnswer: 35616512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.3 + 7. Let d = -16137 + 16145. Put -1, d, w in decreasing order.\nAnswer: d, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymgm when four letters picked without replacement from urgmuyromrummu?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54758 and 25916.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*i = 3*o - 32, -2*o - i = -10. Solve 0 = -o*u + 4 + 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/((-3)\/3) - -37. Calculate the highest common factor of 259 and z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/3 or -1.6312232?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -207788 by 5068.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 18. Let v = s + -9. Suppose v*z - 3*q - 104 = 0, 28 = -2*z + 3*z + 3*q. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of 7*z**2\/2 - 9*z + 6. Suppose p + 0*p + 1 = 0. Let g be p\/2*-2 + 2. Let j(s) = 4*s - 5. Give g*m(l) - 5*j(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 1*(-68 - 3). Suppose -w = 2*w + 4*x - 169, 5*x = w - d. Suppose w = 2*y - 115. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*o**3 - o**3 - 9*o**3)*(5*o + 0*o + o) + 1 - 1 - 2*o**4 as n + v*o**3 + j*o + w*o**2 + m*o**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (8 + -25 + 14)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 13\/2088 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -263717, -263771, -263825, -263879, -263933?\nAnswer: -263987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -569 - -585. What is the highest common divisor of 944 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 13*c**2 - 42*c + 11. Determine s(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5224686757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 227635 is divided by 2396.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 8*b + 1. Let m be n(-8). Let i = 4 - m. Suppose -i*t + 27872960 + 3027040 = 0. What is t rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**4\/8 + j**3\/3 + 4*j**2. Suppose 0 = -f - 3*f + 164. Let r = 39 - f. What is h(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 + 6*j**2 + 10*j - 5. Let b be o(4). Suppose b*g - 4*m - 20 = 32, -g = 3*m. Let w(z) = z**3 - 12*z**2 + 1. Give w(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1127899, 1127898, 1127897, 1127896, 1127895, 1127894?\nAnswer: 1127893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 115399.76 to the nearest 10.\nAnswer: 115400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 5, 59, -3, -5.\nAnswer: -5, -3, 5, 32, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24 - 26. Let w be 5 + 0 - 0\/v. Suppose w*n - 3*n = -5*k + 73, -3*n + 5*k = -172. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -12. Suppose v*n - 32 = -2*i, 4*i = 2*n - 2 - 6. Let o be (-3 + 3)\/(-1 - 0). Solve p - n*p = o for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23*27\/31050*100?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-200)*-4*5\/(-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -136 + -57. Let c = l - -192.9999712. What is c rounded to 6 decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -41*w**7\/210 - 3*w**6\/40 - 1402*w**3\/3 + 3005*w**2. Differentiate v(m) with respect to m.\nAnswer: -164*m**3 - 27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35872*-5\nAnswer: 179360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 17779270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*l - 155 + 585 = -0 - 865 for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -3, -1, 5, 4, 382, 6 in decreasing order.\nAnswer: 382, 6, 5, 4, -1, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30, -225, -754, -1785, -3486?\n\"Answer: -28*i**3 + i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(((r*r\/(r**(-1\/7)\/r))\/r)\/r)*(r*r**(3\/5)*r)\/r)**(6\/13) assuming r is positive.\nAnswer: r**(306\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, y: 4, x: 2, j: 6}. Give prob of picking 2 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-1 + 0)) + -1 + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 26880630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -353, -348, -331, -296, -237?\nAnswer: -148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (22 - (-16 - -19))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -s**3\/3 + 21*s**2\/2 - 14*s. Let g be u(7). Let l(t) = t + 6. Let c be l(g). What is the highest common factor of 143 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*t - 4, 2*t - 2*u + 2 = -5*u. Let l be (t\/3)\/(16 + -17). Which is the third biggest value? (a) -1 (b) -0.7 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 479, 705, 931, 1157?\nAnswer: 1383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + z - 2350 = 3030, -4*h - z + 10756 = 0. What is the highest common divisor of 154 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 9:53 PM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 9*y - 7. Let g be w(10). Suppose b - 2*a - 84 = -g*b, 5*b - 2*a - 106 = 0. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-105) + (275\/(-231))\/(125\/(-9650)).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -159 + 122.8. Let g = a - -35.7. What is the nearest to -1\/2 in 1\/3, g, -1\/6, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 262734 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1460 is divided by 433.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q**(5\/6)))**20)**(-37) assuming q is positive.\nAnswer: q**(1850\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.4\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -2. Let m = -5 + g. What is m rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**3 - 14538417 + 14538417 + 8*s**3.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.089 + 0.16. Let j = -0.022 + f. What is j rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + -2 + 0)*840\/16. Let j = p + 107. Calculate the greatest common divisor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7066834 by -758.\nAnswer: 9323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15844 divided by -226.\nAnswer: -7922\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.084725 - 1.\nAnswer: -0.915275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*f + 5, -3*l = -2*f - 0*l - 1. Suppose -2*j - f = -9. Let t = 9 - 1. Solve 4*d = t*d + j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79475 or 79507?\nAnswer: 79475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1035\/(-20) - 2\/8. Let v = o + 104. Is 26 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300) - (-1 + sqrt(300)) - sqrt(300)) + sqrt(300) + 1 + -5)**2 - (4 + 1*(sqrt(300)*2)**2)) + -2.\nAnswer: -1197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 7*u**3 - 6*u + 6. Suppose -2*d - 3*s + 28 = -57, -2*d + 5*s = -93. Suppose d + 10 = -9*l. Let y(z) = 20*z**3 - 17*z + 17. Determine l*y(r) + 17*f(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/717470 and 71\/70?\nAnswer: 5022290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3418424 and -0.435.\nAnswer: -3418424.435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73790*c - 120 = -73830*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 77*n - 1468 - 996. Is n at most 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2679 or -2677?\nAnswer: -2677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18076\/70415 or 0?\nAnswer: -18076\/70415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**4)**46*(g*g**(-2\/11)\/g)**11 assuming g is positive.\nAnswer: g**182","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11784367978 rounded to the nearest 100000?\nAnswer: -11784400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 2:45 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1324779?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18427*h**3*i**2 + 20*i**2 + 2*i + 31 wrt h?\nAnswer: -55281*h**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -5. Suppose a + 3*a - i = 0. Let m be ((-1)\/(-1))\/(1\/a). Solve m*b = -5*v - 0*b - 16, 0 = -4*b - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9853252127 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -388 = -5*q + 1032. List the prime factors of q.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.4 - 12.4. Sort o, -0.3, 2\/23, -0.04 in decreasing order.\nAnswer: o, 2\/23, -0.04, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a - 11. Let m(k) = -k + 1. Let y(z) = b(z) + 2*m(z). Let u be y(6). Let f = u - -8. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 261*u**3 - 98*u**3 - 4 + 2 - 132*u**3 - 2*u to the form x + j*u**2 + b*u**3 + w*u and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 976 and 1037488.\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (45\/30)\/(2\/8) - -464974. Is 12\/16 - j\/(-80) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/16*-2*-5*(-29)\/30?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -36, 5\/134, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13496 and 616?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 21765\/37, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000027 to 6 dps.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/4337 + -212573\/86740. Calculate the common denominator of g and -49\/306.\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4623 divided by 6?\nAnswer: -1541\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 69827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(33)\/sqrt(3) - ((sqrt(1331) + sqrt(1331) + 0 + sqrt(1331))**2 + sqrt(1331)).\nAnswer: -11979 - 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*13 + (3738\/(-1068) - (2370\/(-20) + 3)).\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*i**4 + 523104*i**3 - 456302624*i**2 + 97233094272*i + 27818145472 = 0. What is i?\nAnswer: -19526, -2\/7, 422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391*f + 894*f - 378*f.\nAnswer: 125*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 9485, -4 in increasing order.\nAnswer: -4, 1, 9485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**3 - 95892*s**2 - 191796*s = 0.\nAnswer: -2, 0, 31966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-73*p**4 - 5462 + 5462)*(-1 - 1 + 1) in the form d*p + k*p**4 + c*p**2 + m*p**3 + u and give k.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12416 is divided by 6158.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 22, -1\/4, -145, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 2.2, -3, 1?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjl when three letters picked without replacement from lwljwjww?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1467, -1450, -1415, -1356, -1267, -1142?\n\"Answer: a**3 + 3*a**2 + a - 1472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.4937797km?\nAnswer: 493779.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 42250353 divided by 10\nAnswer: 42250353\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6104 divided by -3123\nAnswer: 6104\/3123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -10a046?\nAnswer: -10a047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 = 208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1006043?\nAnswer: 17, 23, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 105485\/(-1360) + -18 + 95\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -12, 6.\nAnswer: -12, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 4)*(-457182*n**2 + 6*n - n**3 - 457299*n**2 + 914604*n**2 + 1) to g*n**3 + a*n**2 + o + i*n and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, o: 6}. What is prob of picking 1 o and 1 m?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g + 17*g - 960 = 0. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.68313267 rounded to four decimal places?\nAnswer: 0.6831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -521, -1031, -1537, -2039, -2537, -3031, -3521?\nAnswer: -4007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013534003 (base 6) in base 15?\nAnswer: dd34e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -6. Let y = -10 - -32\/3. Put y, -0.5, r in increasing order.\nAnswer: r, -0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -339 less than -72?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 2 = f - 7, -3*g + 3*f + 18 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of -x**5\/750 - x**4\/150 + 11*x**2. Factor d(w).\nAnswer: -2*w*(w + 2)\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.219 and 29.3.\nAnswer: -6.4167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 60184 = 4*u + 6866, -5*a + 66660 = 5*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444*j - 443*j = 7061 + 1354. Does 187 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 842532 is divided by 1292?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 - -140. Suppose 6*w + 980 = 55*w. What is the remainder when g is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -39a12546?\nAnswer: -39a12544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3 = 0, -14 = -2*z + z + 4*c. Let v be (-5)\/((-1)\/(z - 1)). Suppose y + v*s = -370, 4*y + 1510 = -5*s - 0*s. What is y rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -464021*n*o**3 - 26415*n*o**2 + 16*n*o + 2*n + 3*o**3 wrt o.\nAnswer: -2784126*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -6*v. Let c be (3\/5)\/(2\/(-10)). Let x(g) = -4*g - 7. Let z be x(c). Let o(k) = -5*k**2 + z*k**2 - 2*k**2 + k**2. Determine o(w(d)).\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 0 - 2 - (-279 - -280)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66\/17 + 4. Determine q, given that -4\/17*q**2 + 2\/17*q**3 + w*q + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000422544 rounded to six dps?\nAnswer: 0.000423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 1. Let r(t) = -4*t + 1. Let q(v) = -5*v. Let n(l) = 2*q(l) - 3*r(l). Give 4*m(j) + n(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 2:39 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.458 rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**2 - 7*q - 10 = 0.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -13*d - 20. Suppose 2*i + 5 = -3. Let y = -187 + 311. What is the remainder when y is divided by v(i)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 11*o - 230. Differentiate -16 + 88*h**2 - 88*h**2 - o - 54*h**3 wrt h.\nAnswer: -162*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-6)\/2 - 306\/120 and (50\/(-70) - -1) + 30\/252.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 31 = v - 98, -q = -3*v - 113. Suppose -90 = -q*r + 120*r. What is the least common multiple of 4 and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwwm when four letters picked without replacement from wwwmm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**3*q)\/(q\/q**5))\/((q*q*q\/((q**(-1\/4)\/q)\/q)*q)\/(q*q**(-2\/31)))*((q**(-9\/5)*q*q)\/q*q**(-7\/5))**(-6\/29) assuming q is positive.\nAnswer: q**(-33431\/17980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**3 + 68392*x**2 + 68390*x = 0.\nAnswer: -34195, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 307146583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*y = 325, a - 90 = -y - 3*y. What are the prime factors of a?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (5\/15 - (-1330)\/114)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19639558*f + 891 = 19639476*f - 2881 for f.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 103*m + 58*m - 54*m + 6 + 47*m as p*m + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 + 6*s + 2. Let c be (-3)\/(-6)*32*1. Suppose 4*w = 4*r + c, -4*w - 2*r = 2*r - 8. Let x be j(w). Solve -1 = 3*v + x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1286*g**2 - 9073 + 9073.\nAnswer: 1286*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b*b**(4\/7))\/b**(-3))\/(b**3\/b*b*b**(-3\/5)*b))**(-2\/79) assuming b is positive.\nAnswer: b**(-152\/2765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -27, -3, -14, 3 in decreasing order.\nAnswer: 8, 3, -3, -14, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*v - 76, -5*i + 19*v = 17*v - 142. Solve 5*a - 4*d = i, -4*a = d - 5 + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 15 - 32?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 14235\/17631*138\/(-28). Let r = i + -1\/42. Let a = 1140\/54199 - r. Which is greater: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axx when three letters picked without replacement from xxnnoocxfafaxc?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000076757 to six dps.\nAnswer: -0.000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 90*z**2 + 113 - 113 + 0 - z**2 + 0 + (-2*z + 0*z + 0*z)*(z - 2 + 2).\nAnswer: 87*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 10. Let a be k(8). Suppose 16 = 5*d + p, -a*d - p = p - 8. Suppose -d*f = 3, 2*w - f = f + 558002. What is w rounded to the nearest 10000?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16892 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + q = -44, 5*z + 5*q - 37 - 43 = 0. Let d(k) = 15*k**2 - 7*k + 7. Calculate the remainder when d(5) is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 434040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -27694.\nAnswer: -27690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -4, 1, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.267090822 - 21.732907078. Let p = j + 22. What is p rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 2, 0.89, 5, -46.9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 3. Suppose 0*m - 65 = -5*m. Let x be (-54)\/m + (-4)\/(-26). Let i be l(x). Is -1\/3 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) -0.5 (b) -0.4 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.05975 * -0.1\nAnswer: -0.005975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -y + 4*y. Let l be 4*2\/(y\/(-591)). Let h = 73 + l. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.75 + -3.8. Round f to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -57301 and 349?\nAnswer: -19998049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122025 and 720.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -218, -704, -1644, -3188, -5486?\nAnswer: -8688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9570, 9585, 9600, 9615, 9630, 9645?\nAnswer: 9660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3713751 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -32. Solve 5*l = -k*x - 21, -3*l + 4*x + 0 = -3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 0 - 3 + 0 + 9*u. Let y = 708 - 700. What are the prime factors of c(y)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 22\/3 of a year?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 2. Let t = -5 + v. Let y(k) = 4*k + 2. Is y(t) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/1615492 and 25\/22?\nAnswer: 17770412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.59 - 0.01. Let z = h + 1.581. Let w = 0.019 + z. What is the nearest to 1\/8 in w, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 880333*j**3 - 354913*j**3 + 442100*j**3.\nAnswer: 967520*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -13664*b. Let q(h) = 110*h**2 + 51*h. Calculate d(q(w)).\nAnswer: -1503040*w**2 - 696864*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -3, 7, 0.17, -1\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xz when two letters picked without replacement from {j: 1, s: 4, x: 2, t: 2, z: 1, b: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**3\/6 + 156*o - 6. Let g(p) = -p**3 + p**2 - 5*p. Suppose 4*c = 2 - 10. Calculate c*g(i) + 10*v(i).\nAnswer: 2*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 89016 and 3852?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 220066360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 0*q - 5*q + 0*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -3*z + z + 617, 0 = 2*q + 6. Let x = 740 - z. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + 6 - 1 - -3. Suppose b = 2*f - f. Solve 0 = -4*y + n + f, 4 = -6*y + 2*y + 5*n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 595663 and 1815923?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -17. Let b = 65 - s. Let t(p) = 15*p + 16. Calculate the remainder when b is divided by t(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*l - 9. Let v be (1\/l)\/(1\/15). Suppose 37 = 6*q - 3*q + v*m, -5*q + 103 = -2*m. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-10)*25\/(-10). Suppose -p*q + 9 = 4*r + 23, 10 = -2*r. Suppose -12 = -q*v - 2*v. Solve a - 2*o - o = -3, v*a + o = 11 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 0.3 (c) -2 (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367081 is divided by 631.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 3. Let l = -1 + p. Let s = 27.1 - 27.6. Sort l, s, 5 in decreasing order.\nAnswer: 5, s, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.72, -7\/5, 545 in descending order.\nAnswer: 545, 0.72, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 81\/15 - (-4)\/(-10). Suppose -t - 59 = -k*p - 2*t, -3*p = 3*t - 45. Let y = 164320 + -164318. Solve 6 = -4*j + u - p, 0 = -y*j - 3*u + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, v: 4, i: 1, d: 1, l: 4, f: 1}. What is prob of picking 1 i and 1 d?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 16163?\nAnswer: -16165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/469 and 57\/10759.\nAnswer: 720853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 2*b + 2*b)*(20 + 9 - 2)*(-1 + 1 + 1)*(11 + 12 - 12).\nAnswer: -891*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3. Let o(u) be the third derivative of -u**6\/2 - u**5\/60 + u**4\/12 + 4*u**2. Let z(c) = -o(c) + 3*s(c). What is the units digit of z(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 188*((-353)\/12002)\/((-4)\/(-34))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b + 10*p = 14*p + 58, -52*b - 14 = -48*b + 2*p for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 3*w**2 + 1. Let g be j(3). Let f be 1 + -847 + 1 - g. Let i be 2 - f\/((-6)\/2). What is i rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6 = -3. Suppose -a = u - 18. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.335 - 375.665. Let x = 377.11 + t. Round x to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1070612631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z - 5*z + 0*z)*(0*z + 0*z + z).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*y - 43*y = -8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-3*4\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-7))\/(((-5)\/(-7))\/5). Suppose -4*c = 3*j - 8*j + 54, 7 = j + 3*c. Calculate the greatest common factor of p and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*d = 17*d + 7490. Is d - (18\/(-3) + 6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**3*x + c**3 - 47376*c**2*x + 240*c*x - 7043*x wrt c?\nAnswer: -18*c*x + 6*c - 94752*x","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 20*w + 301. Determine y(27).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (9 - 4) - 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, -1, 4, -2\/9, 8 in decreasing order.\nAnswer: 8, 4, -2\/9, -1, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*h = -38, -6*j + 10*j - 5*h - 52 = 0. Suppose 0 = 5*w - 103 - 17. Calculate the lowest common multiple of j and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v - 4. Let b be (99\/9 + -9)*4\/(-2). What is h(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rddqv. What is prob of picking 1 v and 1 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ikibkibki.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + v = 17, -6*t = -2*t + v - 24. Suppose 3*b - 9 = 0, 4*b = -o + t*b. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 f when four letters picked without replacement from wdlfllbfloodlbwbdl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -14, -4, 28\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(7)*3 - (-2 + sqrt(28)).\nAnswer: -11*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1555 - 0.1055. Which is the nearest to -21? (a) 5\/4 (b) 0.4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2 - 3 = 0. Let o be -2*p - 40\/2*-3. What is the derivative of 0*t**2 + o - 19*t**2 - 86 - 7*t**2 wrt t?\nAnswer: -52*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6920940 divided by 156\nAnswer: 44365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1715 = 7*z + 322. Suppose 15*d + z = 16*d - 5*a, 0 = -2*a + 8. List the prime factors of d.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/7 + (-516)\/(-42). What is the highest common divisor of 108 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (10 + (-10 - (-3 - 2)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptxt when four letters picked without replacement from jxtxxapxxatax.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (924 - 881) + (0 - -1) + -19.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, q: 6, b: 9}. What is prob of sequence pp?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 + 42. Let m be 10\/b - (-3)\/2. Solve x - 6 = -m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8811713 is divided by 108?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -m**6\/24 + 103*m**4\/24 + 2359*m**3\/6 + 2925*m**2. Differentiate a(g) with respect to g.\nAnswer: -15*g**2 + 103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/5 - f + 14\/5.\nAnswer: -(f - 2)*(f + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 819371*b = 820900*b + 217118 for b.\nAnswer: -142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**3 + 0*t**3 + 2*t**3 + 3*t**2 - 9*t**2 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -501, -464, -439, -432, -449, -496, -579, -704?\nAnswer: -877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -103? (a) 12 (b) 32 (c) 3\/2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 + -51. Suppose p = -u + u - u. Which is greater: u or -0.06?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 0*h**5 - 15\/56*h**8 + 0*h**7 + 0*h**3 + 0*h**2 + 0*h**6 + 39*h + 0 + 7\/2*h**4. Find the third derivative of v(c) wrt c.\nAnswer: -1800*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -270.8876\nAnswer: 27.08876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101512 is divided by 1012.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 351880324 to the nearest integer?\nAnswer: 18758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 579 = -77*u + 3890. Solve 44*d = u*d - 7 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248.16 plus -7513.7?\nAnswer: -7265.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 489753067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -8*n - 877. What is q(-56)?\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140262101?\nAnswer: 7, 20037443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.75 - -5.83. What is p rounded to zero decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.160488 - 0.185. Let a = 0.0264 + s. Round a to four dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -987\/101?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 m when three letters picked without replacement from {e: 1, m: 2, q: 3, c: 13}?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2430773 (base 8) to base 13.\nAnswer: 1a5177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 901610 by -5.\nAnswer: -180322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 4, -3692, 3?\nAnswer: -3692","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 980 = 180. Suppose 206*m - 203 = 199*m. Calculate the greatest common factor of m and g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330280.8 kilometers to centimeters.\nAnswer: 33028080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4927045.\nAnswer: 5, 71, 13879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -9*o**2 - 3*o + 4. Calculate n(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*c + 4. Suppose c*k - 105 + 31 = 0. Is 1 + k + 3\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (3 + (5 - 2))) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3 = m, -14*m + d - 5*d = -18. Solve -5*k = 4*l - 40, -m*k + 8*k = -l + 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25256 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 6*o - 4. Let k be l(-6). Let b be 8\/2*(-1)\/k. Let c(v) = v - 4*v - 2 + 5 - 4. What is c(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20150556.\nAnswer: 2, 3, 1679213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of v**3\/2 - 30*v. Let u(q) = 2*q**2. What is p(u(j))?\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 24.51 (b) 0 (c) 1\/3 (d) -2\/24847\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 4 + 1)*(-4*x + 5*x + x) + 0*x + x + 0*x - 10*x + 0 + 0)*((-1 + 3 - 3)*(-41 - 4 - 6) + 3 - 3 - 1)*(-5 + 7 + 8) as r + s*x and give s.\nAnswer: -6500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 278*n + 2*n**3 - 279*n - 3*n**3 + n**2 + 25 as c*n**2 + l*n + f*n**3 + d and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3103312 + 2410?\nAnswer: -3100402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 564161 and 11141.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 240800148?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.4 - -0.9. Let x = -65 - -67. What is the second biggest value in h, -13, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(306)*6*-3)\/(2*sqrt(2)*1 + (1*sqrt(10))\/sqrt(5)))**2*-4.\nAnswer: -22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78 and 384276.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -z + 21. Let s(k) = -k**2 + 3*k - 1. Let w be s(2). Let u(m) = 0 - m + 0 + 6 - 1. Determine w*u(l) + 5*v(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i + 332. Let z be a(-14). Let q = z - -746. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 0. Find the second derivative of o*j - j**4 + 0*j - 2*j wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 60913.57ml?\nAnswer: 60.91357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3\/3 - 90*g**2 + 824*g\/3 - 184 = 0. What is g?\nAnswer: -138, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p - 543 - 7 + 548.\nAnswer: 13*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 2*x - 1. Let y(z) = -69*z**3 + 2*z + 461. Let a(v) = -k(v) + y(v). Find the first derivative of a(f) wrt f.\nAnswer: -204*f**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12626 (base 7) in base 3?\nAnswer: 11122222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**2 - 12*t. Let h(x) = 3*x**2 - 12*x + 2. Let b(r) = -5*h(r) + 4*m(r). What is b(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -234 + 118 - 4*i + 117 + i**2. Determine k(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 2:36 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*o**3 + 151*o**3 + 2*o - 2*o.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246 + 245 + 29*v**2 + 91*v**2.\nAnswer: 120*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, u: 1, l: 3, x: 1, a: 5, b: 4}. What is prob of sequence lalf?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -157, -387, -651, -949?\n\"Answer: -17*m**2 - 179*m + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxm when three letters picked without replacement from {m: 1, d: 6, j: 1, x: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4\/7 (b) -2 (c) -24693942\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.765 and -2.\nAnswer: -1.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 151544*y**3 - 3*y**2 + 3271*y + 6.\nAnswer: 909264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2081*n**2 - 2*n + 3*n - 6*n + 375*n**2 + 3*n as v + i*n + t*n**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1055334, 1055332, 1055330, 1055328, 1055326, 1055324?\nAnswer: 1055322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1831 is divided by 123 + (-7 - (-15)\/(-15))?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**3 - 102*j**2 + j - 46. Let m be u(51). Solve -26*b + m = 57 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7351*k**3 + 7358*k**3 - 249*k + 249*k.\nAnswer: 7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 5) to base 10\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-16)\/2) + -2. Let -218*c**3 - 296*c**3 + 80*c**2 + 845*c**g - 6*c**3 = 0. Calculate c.\nAnswer: 0, 4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + -6. Let c(b) = -b**3 - 23*b**2 + 23*b - 13. Let a be c(-24). Suppose a*r + 18 = 10*r. Is f > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89957682.96 - 89958214.9600231. Let w = b - -532. Round w to 6 decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*t - 83 = -312 - 291 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 132556 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -80*a + 101. List the prime factors of x(-5).\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -210 in -2, -5, 3, 3\/230, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 8:03 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -211*c - 604. Calculate f(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 251541824 by 116.\nAnswer: 2168464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.875 + -89.955. What is v rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 + 8*n - 8. Let s(a) be the third derivative of a**4\/24 + a**2 + 1. Let x(r) = 28*s(r) - 2*u(r). Solve x(l) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.24906 plus -1614?\nAnswer: -1597.75094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 391285.\nAnswer: 5, 139, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) 2\/21 (c) -8458\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4420 + -4413. Which is the nearest to -1? (a) -3 (b) k (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -4c0025 (base 14) in base 3?\nAnswer: -11220201102122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 118764 = -14*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 7*b - 4. Let t be k(-16). Calculate the common denominator of -63\/40 and (-15)\/(-7)*t\/(-40).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffm when three letters picked without replacement from {f: 3, m: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 4*j, -27 = -2*c - j + 6*j. Suppose -3*v - c = -v, -281 = -2*k - v. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 12*z + 5 = 0, -355 + 364 = -3*b + 3*z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7508556 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 49979427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 33*v - 86. Calculate p(-30).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-5) + (129\/1935)\/((-1)\/3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + j + 16 = 0, 0 = 2*h + 4*j - 0 - 26. Suppose -10 = -5*a + 5*v, v + 19 = h*a - v. Suppose a*o = 21 - 1. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/15, 6\/31, 3, -42 in descending order.\nAnswer: 3, 6\/31, 2\/15, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 6*y**2 + 3. Let i be t(6). What is the nearest to 1 in 0.3, 0.1, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23545694 divided by -11772847\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (6*(1 + sqrt(2057))*-1 + (-1 + -3*(sqrt(2057) + -1 + sqrt(2057)))**2)*-6.\nAnswer: -444303 + 1980*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 15, 25, 35?\n\"Answer: 10*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 11:07 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**4 - 6*w**4 - w**4)*(-4 + 6 - 4).\nAnswer: 6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 982 divide 1055331832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m - 5. Calculate r(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*v**3 + 14*v - 29*v + 15*v.\nAnswer: -36*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -0.2, -2\/3, 9, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -62*i. Let f(y) be the third derivative of -29*y**5\/20 - 3825*y**2. Determine f(o(x)).\nAnswer: -334428*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1009*q**3 + 89*q**3 - 498*q**3.\nAnswer: -1418*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/127, 461, 0.5, 2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -9. Let f(a) = -20*a - 8. Let v be f(-7). Calculate the highest common factor of i and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3011730 + -1527943. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2)*160\/1200)\/((-2)\/(-25))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(1008))**2 - sqrt(7)) + -1 + sqrt(28) - ((sqrt(252) - (0 + sqrt(252))**2) + 4))*6 + 4.\nAnswer: -30*sqrt(7) + 7534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 732 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529735328 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 272?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -119\/128 or 2\/27?\nAnswer: -119\/128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**4 - 9890018*l**3 + 16302069413370*l**2 - 8957079660756430678*l - 17914224529869635012 = 0. What is l?\nAnswer: -2, 1648337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 - -7.8. Let x = -5 + d. What is the second smallest value in x, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5 - q - 5 - 1. Let l(m) = 10*m**3 - 41*m**2 + 4*m - 2. Let j be l(4). Let p(w) = -2*w**3 - 22*w - 22. What is j*p(b) + 44*g(b)?\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5 = 231*b - 233*b, 0 = b + 3*w. Calculate the highest common divisor of b and 70.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 12) to base 6\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 530*p - 2706. Let n be g(5). Sort -12, -3, n in descending order.\nAnswer: -3, -12, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-2 + 0 + 4)*(-3*f - 13*f - 5*f).\nAnswer: 84*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/4*5*-36. Calculate the smallest common multiple of 5 and ((-24)\/18)\/(6\/t).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3419 and -454561458.\nAnswer: -454564877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24741, 24746, 24751, 24756?\nAnswer: 24761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 326961737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n**3 + 4*n + 9*n**3 - 6*n**3 - 5*n**3.\nAnswer: -10*n**3 + 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 + 5*k**3 + 6*k**3 + (3 - 1 - 3)*(-k + k - k**3).\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 56\/294*(-3)\/2. What is the closest to m in -2\/7, -14, -1\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 4:50 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 244 + g - 146 - 99. Let w(b) = -2*b + 5. Determine -15*u(j) - 3*w(j).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 5. Let x be z(10). Suppose -4*c = -8*h + 4*h + 72, -3*h + x*c + 62 = 0. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 804691 plus 5?\nAnswer: 804696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 72\/(-28)*(1 + 13). Let y = n - -39. Solve 0 = -o + y - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j**4 + 0*j**4 + 0*j**4)*(-1 + 4 - 4) + 0*j**2 + 0*j**2 - 2*j**4 - j**4 - 3*j**4 - 2*j**4.\nAnswer: -14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, p: 5, n: 7, o: 3}. What is prob of picking 1 n and 1 b?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54523, -54525, -54527, -54529?\nAnswer: -54531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -5*v - 11, -3*f + 2*v + 633 - 624 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -12*i - 20. Let t be v(-8). Let x = t - 34. Let c be (-3*4\/x)\/((-6)\/42). Solve c*k + 3 = -5 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8031 in 6\/19, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 74.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.6 + -3. Let l = m - 0.6. Let w be 5\/(-4) - (-2)\/2. What is the biggest value in -5, w, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 - 13*u**2 - 2 + 4*u**2 to the form z*u**2 + r*u + i and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-2)*(-4)\/(-30). Let y = -11 + 10.5. Let q = -0.8 - y. Sort q, g, -1\/4 in decreasing order.\nAnswer: g, -1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*p - p + 2, 4*p + 20 = 3*i. Let r be ((-6)\/(-9))\/(2\/(-3)). Let g = r + -2. Which is the third smallest value? (a) g (b) p (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 183 (b) 5 (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + ((0\/(-4))\/3 - -12). Let b be 56\/f + (-10)\/(-25). What is the third derivative of -10*n**3 + 10*n**3 - 2*n**6 + 8*n**b + 10*n**2 wrt n?\nAnswer: 720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 + 34. Suppose -4*r + 2*r - 324 = -3*d, 0 = c*d - 5*r - 315. Suppose 5*w - 30 = -4*k + 155, -3*k + 2*w = -d. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4\/7)*y)\/(y*(y*y**(-2\/13))\/y))**19\/((y\/(y\/y**4))\/y*y**(-2))**(-47) assuming y is positive.\nAnswer: y**(3555\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -6 + (-1 - 0) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -246159 or -246212?\nAnswer: -246212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1137*o - 1755*o + 1369*o - 4 in the form k + j*o and give j.\nAnswer: -1523","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c - 1. Suppose 3*j - 6 = 3*d, 35*j - 36*j + 3 = 0. Let k(q) = 1. Determine d*r(b) + 2*k(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -58 - -3247?\nAnswer: 3178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2 = -2*r. Let i = r + 3. Suppose -3 - 3 = 2*s + 2*u, -i*s = -4*u - 21. Which is the third biggest value? (a) s (b) 0.1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2583.26 rounded to the nearest ten?\nAnswer: -2580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.36 (b) -0.6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 145 - -307d?\nAnswer: 31c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.7 + -6.6. What is the third biggest value in -10\/11, -5, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 955043 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.1 - 0.1. Let s(v) = -3*v - 90. Let t be s(-29). Which is the second smallest value? (a) -0.5 (b) t (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**(-1))\/((u\/(u*u\/(u*u**(1\/3)*u)))\/u)*(u*u**1*u)**(-3\/4) assuming u is positive.\nAnswer: u**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mbmbbmmmmmmmmm.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 17 = 3*a - 43, -25 = -3*a - 4*z. Let k = 14 - a. Is ((-185)\/(-2))\/(k\/14) 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 7062?\nAnswer: 2, 3, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 4 - 4. Let z(r) be the first derivative of 0*r**2 + 1\/3*r**3 + 39 + 0*r. Give z(i(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -305.\nAnswer: -3\/305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2223*t + 3 = 2220*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-1) - 2\/1. Let w be (-2 + 4)*1\/(-2). Let f be (p + -2)*3*w. Solve -v + f*z - 8 = 0, -16 = 3*v + z - 2 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8843 and 67819357.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 271536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express z**3 + z**4 - z**3 + (125*z**2 + 33*z**2 + z**2)*(z - z + z**2) in the form l*z**4 + r + p*z + y*z**2 + k*z**3 and give l.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2750 and 118.506.\nAnswer: 325891.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**2 - 4*k**2 + 2*k**4 + 3*k**4 + 0*k**4 - k**4 + (4*k**3 + k**3 - 4*k**3)*(-k + 3*k - 3*k) + (4*k + 3*k - 5*k)*(-2*k**3 + 0*k**3 - 2*k**3).\nAnswer: -5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47 + 86 + 5*g**2 - 41 + 0*g**3 + 4*g**3 to w*g + m*g**2 + i + d*g**3 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a - 40 + 48 - 5*a. Determine s(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, 1, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2434 divided by 44\nAnswer: -1217\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 141411217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*v + 31*v + 4*v**2 - 2*v**2 in the form g*v**2 + w + h*v and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + (6 - 3) - -9) + (-52 - (49 - 22)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 19 (c) -36 (d) 0.04 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/24)\/((-100)\/41280*-16).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-4))\/(33\/308). Suppose -13*c + o*c = 2. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 1571*x**4\/6 + 857*x**3\/6 - 6562*x**2. Find the first derivative of t(h) wrt h.\nAnswer: 6284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 5*v**3 + 2*v**4 + 4*v**3 + 4*v**3 + 0*v**3 as u*v + x + m*v**2 + r*v**3 + n*v**4 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 99a - -64?\nAnswer: a42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -191 - -193. Let d(u) = 0 + 2*u**2 + 4 + 2 - 1. Let b(c) = 4*c**2 + 9. Let x(n) = m*b(n) - 5*d(n). Differentiate x(v) with respect to v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/7139 and 99\/175348.\nAnswer: 21217108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 4*x**2 + 216*x - 1357. Give r(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*j - 32*j + 88*j + 2*j**2 - 24*j.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*h**5 - 105*h**2.\nAnswer: 2100*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24752528 by -6188132.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2)*(5 + -7). Let l = x + 11. Suppose -2*i + 7 = -4*y + i, -y - 2*i = -12. Solve y = 4*w + l for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*g**3*t*x + 2*g**3 - 4*g**2*t*x**2 - 4*g**2*x**2 wrt t.\nAnswer: 3*g**3*x - 4*g**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c**(-12)*c)**10 assuming c is positive.\nAnswer: c**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - z + 195*z**2 - 93*z**2 - 4*z - 418*z**4 + 4 - 100*z**2 in the form i*z**3 + t*z + k + u*z**2 + g*z**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1764*r + 151*r - 1215*r - 563*r to h + j*r and give j.\nAnswer: -3391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*w - 3160238 = 1160782. What are the prime factors of w?\nAnswer: 2, 3, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine quarters of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -241 and 0.46?\nAnswer: -110.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -875\/142?\nAnswer: -875\/142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 10*k + 243599 = -2*u, -2*u + 5*k - 243595 = 0. Round u to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - 0)*1 + 7. Suppose a*n + 3 = -3*d + 12, -n - 12 = -4*d. What is the tens digit of -1*(-43 + (-6)\/d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.016971+137\nAnswer: 136.983029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 7:49 PM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*y + 615 = -1073 - 292 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 - 6*z - 7 - 3)*(5 + 0 - 3).\nAnswer: -12*z + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*((y*y**8)\/y)\/y)\/y)**50\/((y*y\/(y\/(y*y\/(y\/(y**(-2\/13)*y*y))*y)))\/y*y**31) assuming y is positive.\nAnswer: y**(4097\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 220*i**2 - 11739*i + 337. What is z(-129)?\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0105904918 rounded to 5 dps?\nAnswer: 0.01059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10551*y = 8983*y - 40768 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 308 + -296.9. Let q = 11.099947 - i. What is q rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 4 - ((-6 - -4) + 2). Solve 0 = -3*u + x*d - 1, -4*u - 3 = -4*d + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29\/12 - 19\/6. Suppose o + 0*o = 1. Let l be -2 - (0 + 8\/(-3)). Sort l, p, o in increasing order.\nAnswer: p, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000010 - 1101?\nAnswer: -11001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j + 130*g - 134*g - 4, 2*j = -3*g + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -958621.2 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 10*b + 7*b = 53, -2*r - 2*b = -58. Let q be 0*(-4)\/(-16) - r\/(-96). Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3745456901 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2891729 is divided by 93275.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/705875, 5, 1\/5, 0 in increasing order.\nAnswer: -2\/705875, 0, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-16)\/(-4))\/(9 + -7). Suppose -m + c = -2*c, -4*c = 0. Put o, 7, m in descending order.\nAnswer: 7, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6696 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -10 + 17*i + 22*i - 37*i - 2*i**2 + i**3 + 8*i**2. Let x be g(-5). Solve -c = c + x*n + 29, -n = -3*c - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42.1127423 plus 0.06?\nAnswer: -42.0527423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -7*l**3 - 7*l**2 + 5. Let d(g) = -1827*g**2 + 3 + 20*g**3 - 17 + 1847*g**2. Suppose 4*c = -2*w + w + 13, -4*c = -8. Calculate w*d(o) + 14*h(o).\nAnswer: 2*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*l + 0*l - 2*l to g*l + f and give g.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 76*j**2 + 37*j**2 + 69*j**2 + 2*j**4 + 19*j**2 in the form h*j**4 + n*j**3 + w*j**2 + z + k*j and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 97.6 + -98. Which is the second smallest value? (a) 5 (b) -1 (c) -5 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 453 + -453. Solve -12 = 4*y - w for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from 1.928.\nAnswer: 2.428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2847 - -2951. Calculate the remainder when v is divided by 45.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33963176 is divided by 970376.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -301185320*g**2 + 40621493 wrt g?\nAnswer: -602370640*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4 times -194962?\nAnswer: 467908.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbb. Give prob of picking 2 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1338*i - 575. Is y(-11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(4\/7)*d\/d**(3\/7))**0)**(5\/8))**(-3\/2) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/6*285\/1330?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/(-12) - -5 - (-1656)\/(-108).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -199 less than -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36098300 a multiple of 371?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**3 - 3*u**2 + 3*u + 2. Let x(j) = 0*j - 4*j + 4*j**2 - 4 + 1 + 3*j**3. Give -4*p(h) - 3*x(h).\nAnswer: -h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 220 - -257?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 + -40. Solve -4*c + 5*o = u, -4*c + 5*c + 10 = 3*o for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -1 (c) -0.3 (d) 2\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.462156 weeks in hours?\nAnswer: 1421.642208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 35*a**2 + 10*a - 15. Let y be r(6). Suppose -774 = -7*s + y. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17392 and 33697?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (537\/(-2685))\/((-26)\/(-10))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4732 - -4707. Let d(g) = 4*g + 90. Give d(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -115*k**2 - 12*k*p**2 + k*p - 6*p**2 - 118*p - 1 wrt k.\nAnswer: -230*k - 12*p**2 + p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145, -688, -1633, -2980?\nAnswer: -4729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 18*k - 69. Let s be c(4). Let j be s\/4 + (-55)\/(-44). Solve 2*n = -b + j*b + 11, 4*b - 8 = -5*n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 6:38 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1052301204 divided by 263075301.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -117 (c) 344\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + -10 - -2)*3\/30*-2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 21*u**2 + 35*u + 257. Calculate r(23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - (sqrt(304) + 2*sqrt(304)))*-2 - (5 + 1*sqrt(304)))**2 + 3*-1*1*sqrt(304)*-1.\nAnswer: -108*sqrt(19) + 2761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 13 + 16 - 5)*(-2*d - 2*d + 3*d).\nAnswer: 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -381362 (base 10) to base 16\nAnswer: -5d1b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((414\/36)\/(-23))\/(110\/120)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 423821381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (152*l - 257*l + 1218 + 103*l + l**2)*(-2*l**2 + 3 - 3).\nAnswer: -2*l**4 + 4*l**3 - 2436*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = -3*c - 4*d, d + 3 = 0. Let n(i) = -i + 2*i**2 + 5*i**2 + 2*i**2 + 4 - 4*i**2. Is n(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005854 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 343127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 10*v - 29. Calculate the remainder when v is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 27 = 13 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.06 + 1.94. Let d = -3 + k. Let g = -82 + 82.1. What is the second biggest value in g, d, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6377231 - 17*k + 148*k + 6377229.\nAnswer: 131*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 28 + 10 = 0. Let l = o + -4. Suppose 2*m - 4*v = -2, 2*m = 5*m + 5*v + 14. Put l, m, -4 in decreasing order.\nAnswer: l, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3051 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 6:47 AM?\nAnswer: 10:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*m + 41 - 8 - 273 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1002*g = -1008*g + 50520. List the prime factors of g.\nAnswer: 2, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + m = -4. Suppose -2*j + 7*j + 2*q = 0, 3*j + 2*q = -4. Let y(l) = 4*l - j*l - 2*l - 5*l. Determine y(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12146 or 36439\/3?\nAnswer: 36439\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34420157 or 137680631\/4?\nAnswer: 137680631\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -4 + 43 + -47?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1, -0.4, -0.2, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g*g**0*g)**37*g**(-7)\/(g\/(g*g**(-3\/4)\/g))*((g\/g**(1\/4))\/(g\/(g\/(g*g**(-4)*g))))\/(g**(2\/7)*g**(-6\/7)) assuming g is positive.\nAnswer: g**(998\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a milligram in micrograms?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 45365 to the nearest one thousand.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -2, 26, 17\/2, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 12:39 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6861407.\nAnswer: 7, 263, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4158 and 216972?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7023639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.276258 kilometers to millimeters.\nAnswer: 3276258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/3 - 380*r\/3.\nAnswer: 2*r*(r - 190)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o - 6*o + 3*o)*(5 - 2 - 2) - 164*o - 294*o + 149*o - 164*o - 100*o to g + y*o and give y.\nAnswer: -572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.01 + 0.01. Put j, -5, 1\/2 in decreasing order.\nAnswer: 1\/2, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*j + 1177*j - 14592 = 137*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2646, 4416, 6186?\n\"Answer: 1770*k + 876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 10 = 229. Is x\/(-5) + (-2)\/(-5) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 24*j**3 + 9*j**2 - 10*j + 1. Calculate the least common multiple of z(1) and 116.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.12 (b) -119\/3 (c) 182\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/7 (b) 68 (c) -18 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -85, -28, -0.17, 8?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-47)\/((-11562)\/3321) - (-2)\/4\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - o - 4, 3*z + 4*o + 6 = -0. Let b be 6\/(-5 - z) - -3. Let q be ((-6)\/2 - -6)*b. What is the greatest common factor of 15 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1145 - 1157. Let b be 6\/(-10) + (-148)\/(-80) - 2. What is the third smallest value in 0, l, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -88 + 113. Let n be (3 + (-90)\/t)*-5. Solve n*r = 19 - 13 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/2*((-18)\/4)\/9*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 163 - 74. Let y(i) = 87*i**2 - 2*i. Let b be y(1). Let n = d - b. Solve -2*a = 3*a - n*k + 7, a - k + 1 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -5, -0.3, 64, -0.2 in decreasing order.\nAnswer: 64, -0.2, -0.3, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -128*d + 122*d + 30. Solve q + 2*k - d = 0, -2*q - 2*k - 25 = -5*k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/20)\/(1\/(-5)). Suppose -s + 3 = 0, -7 = -4*w - 2*s - 1. Suppose -2*u - p*u + 605 = w. Calculate the highest common factor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/7 - -5\/7. Let p be 90\/50 + ((-120)\/25)\/8. Sort p, 3, a in descending order.\nAnswer: 3, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/(-9)*207\/(-483). Let a = -45 + 357\/8. What is the closest to 0 in a, q, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*k + 443, k + 0*k = -3*y - 122. Suppose 3*t + 213 = 4*n, 0 = -t + 5*n - 42 - 40. Let z = t - k. What is the greatest common factor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325 a factor of 35046181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.8 in 0.2, 23, -1\/11, 6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 8, o: 3}. What is prob of picking 3 w?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.07 - -2.07. Let h = 1.4 - n. Let t = h + 0.1. Is 0.2 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 7*x + 43. Let r be m(-4). Let y = 41 - -19. What is the highest common divisor of r and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 2\/5, 115.459?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183765316 divided by 152629.\nAnswer: -1204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12580.\nAnswer: 2, 5, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 3*n**2 + 9*n - 3. Calculate y(6).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 4 + 3*y**2 + 8.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6926 + 9766. Is i a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19.8 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -1\/4, 70, -3\/7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108117248 to the nearest integer?\nAnswer: 10398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3 - 3*q**2 + 2*q**2 + 2*q**2 + 13*q - 2*q**2. List the prime factors of c(12).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 17 = 2*a, 3*q + 13 = -4*a - 2*q. Let d be a\/(-2)*72\/42. Let x(r) be the third derivative of -r**5\/60 + 7*r**4\/24 - r**3 + 21*r**2. Give x(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + (55 - 0) + (357 - 384).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 8*d + 6. Suppose d*j + 4 - 8 = 0. Solve 0 = j*n + n + 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4*j**3 + 94*j**2 + 309*j - 380. What is m(-20)?\nAnswer: -960","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i + 2. Let n be p(2). Let b = n - 5. Let w = 12 - b. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22405027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 41 + -5?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 250 - 4249\/17. Is p at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402 = c + 132. Is c a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-1))\/((-166)\/((-54448)\/(-182532)))\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1050 and 840.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/21 and 94\/273.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 501563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27.5 + -23. Let a = 5.0699 - 9.5628. Let s = i + a. Round s to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 7. Suppose -u + w = 3*u. Let j be 48\/18*3\/2. Solve j = u*k - 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -368096 times -35.3\nAnswer: 12993788.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -87203\/1140 - -1467\/19. Let c be (-18)\/(-72) + ((-48)\/15 - -3). Let j = a - c. What is the second biggest value in j, 1, 0.6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 666\/(-81) + 5 - (0 - 3).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 12) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 96\/1103 - 181197\/2043859. Let b = g + 185339\/24089. Is b smaller than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m + 4*m - 6*m + 3*m + m**2 to the form s + p*m + a*m**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyzyyz. Give prob of sequence zy.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -153, -163, -173, -183, -193?\n\"Answer: -10*h - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 3*u - 2. Suppose 5 = -3*n + 5*d - 6, -5*n - 3*d - 7 = 0. Let v(w) = w**2 - w - 6. Let f be v(0). Let r = n - f. What is t(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 16 = 0, 33*i - 40*s = -44*s + 412. Let j(h) = -3*h - 3. Let u be j(-4). Solve -u*o + i = -12*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198, -396, -594?\nAnswer: -792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105280330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 36 = -2*b. Suppose 0 = -6*c + 5*c - r + b, -22 = -c - 2*r. Calculate the highest common divisor of c and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a + 96*a + 860 = -98*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.06 times 0.1?\nAnswer: 0.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 105 = 4*z, 2*q + 2*q + 108 = -4*z. Let j be (-2)\/(4 - 4\/z*-28). Solve 3*y + 22 = 5*f, -f = -2*y - 0*f - j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 68 = -o. Let n = o - -7. Calculate the remainder when 4\/n + (-636)\/(-15) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s*t**3*v - 6*s*t**3 + 2*s*t*v + 13*s - 2*t**5*v + v wrt t?\nAnswer: 6*s*t*v - 36*s*t - 40*t**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 8*s - 1. Determine x(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/1445200 and -103\/22.\nAnswer: 15897200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)*-2*1)\/(sqrt(2)*-1*6) + 3*(sqrt(19) + sqrt(76)\/sqrt(4) + 5) + 2.\nAnswer: 17 + 19*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -12430, -12 in descending order.\nAnswer: 2, -12, -12430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*p + 1 = 0, 8 - 29 = 5*n + p. Let m(a) = -a**3 - 2*a**2 - 2*a + 2. Let h be m(0). Sort -1, h, n in descending order.\nAnswer: h, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -138 < -138?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*u = -24 - 1224 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -523010 (base 10) to base 15.\nAnswer: -a4e75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, l: 2, o: 6, t: 1, m: 1}. What is prob of sequence lee?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7208 divided by 1\nAnswer: -7208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(605) - 4*(-1 + sqrt(605))) + (sqrt(605) - (sqrt(605) + 0)*-6 - (5 + sqrt(605)*1 - sqrt(605))))**2.\nAnswer: -88*sqrt(5) + 9681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 275 and 11550?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(((-405)\/135)\/(3\/28))\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*j + j. Let y be (-78)\/(-18) - j\/6. Suppose y*l = l + 148. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -3\/4 (c) 3\/5 (d) 1\/2 (e) 1 (f) -71\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -d + 3*v, 0 = -5*d + 8*v - 3*v + 85. Suppose -3*w + 24 = -141. What is the greatest common divisor of d and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 64. What is the common denominator of (148\/(-192))\/((-2)\/f) and 37\/44?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -63\/1111, -0.2, 1, -1?\nAnswer: -63\/1111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - -0.2. Let h = 1 + -4. Which is the smallest value? (a) h (b) y (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2960118 and 378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + 255431?\nAnswer: 255426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 770 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 768463 and 768467 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -393 - -849. Does 21 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 3*u - u**2 + (-1 + 1 + 3*u)*(4 - 4 - 2*u))*(12 - 12 + 24*u).\nAnswer: -168*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 13, 270, 435.\nAnswer: 13, 30, 270, 435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4130 and 7635544?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -z - 5*n, 4*z = 3*n - 0*n + 15. Suppose -4*a - b + 18 = z, 5*a + 4*b - 4 = 6*a. Solve 2*g = a*g + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, y: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 2:56 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13 + (-2 - 5) - 8\/4. Solve -5*q - 2*c = 1 + 5, 3*q - 2 = -m*c for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42400 + 42138. Let t be (-1308)\/5 + 6\/(-15). Are t and c non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 326118 (base 9) in base 3?\nAnswer: 100220010122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21342.\nAnswer: 2, 3, 3557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-37)\/(-7) - 2\/7. Let l = a + -2. Suppose l*w = 4*w - 134. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a week in seconds?\nAnswer: 56700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*g - 8*g. Solve -f - f + g = -3*a, 0 = 3*f + 5*a - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 10:46 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/6, -2\/179, 5, 0.2, 110829?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**2 + 8*q. Let d(f) = 5*f**2 + 9*f. Let u = 159 - 164. Give u*d(c) + 6*x(c).\nAnswer: -c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1.3 (b) -0.5 (c) -5 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5137, 20516, 46151, 82042, 128189?\n\"Answer: 5128*t**2 - 5*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1437 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 53\/4 of a hour?\nAnswer: 795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81 - (-6 + -13 - -8) - (29 + -13 - 17).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*m = -279. Let z be (-4 - -4)*2\/(1 - -3). Suppose 3*q = 3*b + m, z*q + q = 3*b + 29. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3695, 7384, 11071, 14756, 18439, 22120?\nAnswer: 25799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -2 (c) -4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -2*j**5\/35 - 3*j**4\/14 + 4*j**2\/7 + 74. Factor r(u).\nAnswer: -2*u*(u - 1)*(u + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 5*a + 5. Let w be y(-4). Suppose 2*f = -w - 3. Is 7 a factor of 18 - (1 - -1)\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 615770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -15179?\nAnswer: 4553.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 4 + 2 + -13\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/15 - 310\/(-75). Factor -d**l - 8*d**4 - 136*d**2 + d**4 + 104*d**3 - 322*d**2 - 450 + 780*d.\nAnswer: -2*(d - 5)**2*(2*d - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/4 - 21*h**2\/4 - 43*h\/2 - 24.\nAnswer: -(h + 2)*(h + 3)*(h + 16)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 13 - 3*b**2 - 4*b**3 - 3*b + 14. Let w(t) = -t**2 - t - 1. Let h(n) = j(n) - 3*w(n). What is the first derivative of h(x) wrt x?\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1557727266 + -18589917208861\/11934. Let a = 7\/1326 + w. Calculate the common denominator of a and 68\/33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47468, 55283, 63098, 70913, 78728, 86543?\nAnswer: 94358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -239, 3\/5, -3, 0.266, 26, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/2 - 3*l**3 + l**2\/2 + 15*l.\nAnswer: -l*(l - 2)*(l + 3)*(l + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 159050 rounded to the nearest one thousand?\nAnswer: 159000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**4\/4 + k**3\/2 - 3*k**2 + 6*k. Factor i(p).\nAnswer: 3*(p - 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -13*(-378 - 121\/(-11)) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -262?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -326.\nAnswer: -3\/326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 18. Calculate the least common multiple of 1*6 - 1\/1 and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2680.371966 to 0 dps.\nAnswer: -2680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/7 (b) 0 (c) 160\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 18 + 18)*(5 + d**3 - 5) + (-d**2 - 3*d + 3*d)*(-d**2 - d**2 + 6*d**2) - 5*d**4 + 4*d**4 + 3*d**4.\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from wrktbhbr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/558 and -74\/69099?\nAnswer: 414594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94811159.\nAnswer: 17, 19, 73, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 1:40 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2357862006 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: Calculate the greatest common divisor of 160 and 3680.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -3*r + 21. Let q(c) = -2*c + 1. Let t be q(3). Suppose 3 = 5*i + 4*g, 4*g = -2*i + 29 - 23. Sort i, r, 0, t in ascending order.\nAnswer: t, i, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2794 = -2*k, 9028 = 5*l - 2*k + 2040. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b + 3*b - 190. Let t be 1 + 118\/b - -2. Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 438194 + -438194.812388. Let c = 0.387611 - o. Let u = c - 1.2. What is u rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqqq. What is prob of sequence qq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/160*5*5\/(60\/(-8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/52)\/(((-133)\/228)\/(112\/(-80))).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-7) + 100\/(-35). Let d = 0 + -0.2. Which is the second biggest value? (a) x (b) d (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(-2\/21))\/(w*w*w\/(w\/(w*w\/(w*w**(2\/13)))*w)*w) assuming w is positive.\nAnswer: w**(-205\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 10. Let f be -10*(12\/(-8) + 2). Calculate l(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times -58924.86?\nAnswer: -4713.9888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/2 - (-15 + 12). Solve -z = -v + 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 76. What is the remainder when m is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 57324*l*q*w**2 - 12*l*q + 6*q*w**2 + 7*q - 22211*w**2 wrt l?\nAnswer: 57324*q*w**2 - 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1086, 1087, 1088, 1089, 1090, 1091?\nAnswer: 1092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -239170 + 36*q**3 + 239170.\nAnswer: 36*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 28642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 12 + 4 = 0. Suppose n*h + 8 - 12 = 0. What is the highest common factor of 10 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 5*u + 3. Let a be d(5). Let l(c) = -c**2 - 16*c - 54. Let n be l(-7). Let x(g) = -57*g - n + 55*g + 5. Give x(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3.208897 and 0.21.\nAnswer: 3.418897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/15 - (-4 - (-64)\/3). Let d(x) be the third derivative of -x**6\/120 - 17*x**5\/60 - 17*x**4\/24 - 17*x**3\/6 - 27*x**2 - 1. Give d(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffle when four letters picked without replacement from {l: 1, e: 1, f: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -199*c**2 + 94723*c + 480. Let b be o(476). Let r(a) = -9*a + 2. Let x(k) = -8*k + 3. Let y(i) = 2*r(i) - 3*x(i). Calculate y(b).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 11 - 2*t + 25\/12*t**4 - 2*t**3 + 0*t**2. What is the second derivative of a(h) wrt h?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1374 + -1094?\nAnswer: -2468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45082098 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(11) - (0 + sqrt(11))) + 5 - (4*(sqrt(275)*-1 + sqrt(11) + sqrt(11)))**2.\nAnswer: -1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3187209289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 249414?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 19 + -31 + -3 + 10. What is the nearest to 2\/47 in r, 1\/10, 5\/2, -2\/5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -532, -542, -552?\n\"Answer: -10*h - 522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 662 - 659. Let g be 1\/(-4)*(-1)\/(-2). Which is smaller: f or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 524, 523, 522, 521, 520?\n\"Answer: -s + 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 - 153*p**2 - 1775*p + 1260. Let l = 254 + -244. Let y(q) = q**3 - q**2 + 2. Let u(x) = l*y(x) - 2*h(x). Determine a so that u(a) = 0.\nAnswer: -25, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -191890 (base 10) to base 12.\nAnswer: -9306a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-110)\/4)\/((-410)\/164)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 2 + 2 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 5*c - 4, 2*o + 4*c = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9467903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-44)\/286 + (-160)\/(-26). Let g(k) be the third derivative of 1\/60*k**5 - 2*k**2 + 0 - k**3 + 0*k - 1\/4*k**4. Calculate g(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18686 - -93433\/5. Sort 6.181, b, -0.4.\nAnswer: -0.4, b, 6.181","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2160\/378 + (1 - 5\/7). Let t(z) = 4*z**2 - 24*z - 2. Let i be t(w). Let h(b) = b**2 + b - 3. Let j be h(-3). Sort j, 5, 2, i in increasing order.\nAnswer: i, 2, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 o when four letters picked without replacement from phheodep.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6561 and 11895?\nAnswer: 26014365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 + 2*f + 5. Give d(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6599 - 6.04\nAnswer: -6605.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 11560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2590.\nAnswer: 2, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12 and 2933857812?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 7:54 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/3 - (-195)\/(-9). Let c = 26 + l. Suppose -c = 5*k - 14. What is the highest common divisor of 3 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(2 + (2 - 22\/4)). Suppose 0 = -8*h + 7*h + d. Calculate the greatest common divisor of h and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -150, -1, -0.6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 0. Suppose -197 = -3*k - 0*k + 5*m, -a = 4*m. What is the greatest common factor of 16 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2331*s = 2344*s - 338. Calculate the greatest common factor of 19058 and s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.065 in -20, 0, -12, 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -168*f + 797 - 1591 + 79*f**4 + 794 wrt f.\nAnswer: 948*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/11, 3, 5\/8, 0.03, 170 in descending order.\nAnswer: 170, 3, 5\/8, 0.03, -2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 160*l + 11. Let d(u) = 156*u + 8. Give -11*d(h) + 10*i(h).\nAnswer: -116*h + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4) + 3*sqrt(4) + sqrt(4))*-4 - sqrt(4))\/(sqrt(128)*-2 + sqrt(128)).\nAnswer: 21*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/16*(1 - 0). Let g = -6.82177 - -4.82177. Which is the nearest to 2? (a) o (b) -0.4 (c) g (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 171871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*k + 23 = 0, -m + 11 + 6 = 3*k. Suppose -4*y + m = -0. What is the second derivative of -2*w**5 - y*w + 4*w**5 + 0*w wrt w?\nAnswer: 40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -2, -1\/13, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 + l**2 + 5*l - 4. Suppose -22 = -2*r + 4*r. Suppose 0 = -2*k - 9 + 1. Let f(o) = 5*o**3 - 3*o**2 - 14*o + 11. Determine k*f(i) + r*v(i).\nAnswer: 2*i**3 + i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*w. Suppose w = 4*j - 116 + 20. Suppose 0*v = 2*v - 24. Calculate the greatest common factor of j and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 90\/180 - ((-78010)\/4)\/5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/7*a**2 + 143\/7*a - 144\/7.\nAnswer: (a - 1)*(a + 144)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(31\/3)\/y)\/(y**(5\/7)\/y) assuming y is positive.\nAnswer: y**(202\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 80 = -784*k + 787*k, -4*k + 5*x - 100 = 0 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.191 + 0.809. Which is the fifth smallest value? (a) -0.1 (b) -3 (c) q (d) -16 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*i**2*q**2 + 3*i**2 + 385*i*q**2 + i wrt i.\nAnswer: 20*q**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, h: 2}. Give prob of sequence fhff.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042080 (base 10) in base 3?\nAnswer: 1221221110120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002526546 to five decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11809.0278 + 11810. Let x = -0.0278 - y. What is the fourth biggest value in -2\/5, -2, -0.2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -82, -122, -164?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2627, -5223, -7797, -10337, -12831, -15267?\n\"Answer: 2*d**3 - d**2 - 2607*d - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3208 divide 3656860152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 161 in increasing order.\nAnswer: -5, 4, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 706*p + 140641 - 111695 = 0 for p.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -231880.\nAnswer: 463760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/398 and -19\/4.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3a50 (base 13) to base 12\nAnswer: -49b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (r + 2*r - 4*r)*(0 - 1 + 3)*(r - 2*r - 4*r) + 30344*r**2 + 2*r + 777 - 4*r - 30346*r**2 in the form m*r**2 + i*r + h and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 460 and 84022220.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 302 + -302.2. Which is the closest to 2\/5? (a) v (b) 0 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10049\/2 - 553403\/110. Let j = 84\/11 + b. Which is bigger: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t - 1. Let r(o) = 4*o - 2. Let u(j) = -j**2 + 8*j + 19. Let s(f) = 2 - 5*f - 5*f - 2. Let g be s(-1). Let n be u(g). Calculate n*r(a) + 2*v(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*t + 229*t + 983*t + 24605 = 0 for t.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54777.51ml to litres.\nAnswer: 54.77751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 * -0.03735961\nAnswer: 0.0044831532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 a factor of 12350790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 300 and 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80522737.\nAnswer: 181, 444877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, h: 1, f: 4, j: 7, z: 2}. What is prob of picking 2 z?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3\/13 + 53110416*n**2\/13 - 352589589072042*n\/13 + 705178965702436\/13 = 0. Calculate n.\nAnswer: 2, 13277603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.141 times 0.1285?\nAnswer: -9.5271185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 12*m**2 - 29*m + 12. Let q be ((-8)\/6)\/(11\/((-693)\/6)). Let z be f(q). Put -1, 5, z, 4 in decreasing order.\nAnswer: 5, 4, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -38 (base 11) to base 10\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-48)\/15 + 4)\/(2\/10). What is the highest common factor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393094359.\nAnswer: 3, 7, 311, 20063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 - -0.04102204111892.\nAnswer: -9.95897795888108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-2 - -1)) + (-105 - -103)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5589 and 1296?\nAnswer: 89424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43*y + 34*y - 93*y + (-2 + 3 + 1)*(3 + 2*y - 3) + 0*y + 3*y - y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76 = -15*r - 4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/((-6)\/9) - 2. Let x(y) = -5 + 9*y - y**2 - 5 - w + 1. What is the units digit of x(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403 = 3*v - d, -4*v + 226 + 326 = -5*d. Suppose -v*k + 137*k = 2736. Is k a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1497.005082 + -1497. Round u to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**7\/294 - f**6\/35 + 2*f**5\/35 + f**4\/42 - 3*f**3\/14 + 2*f**2\/7 - 148*f + 2. Suppose l(m) = 0. What is m?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -54\/77 + -8\/11. Which is the closest to 1? (a) 3\/2 (b) n (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 + 40 - 5*t)*(t**2 + 2*t**2 - 4*t**2 + (5*t + 6*t + 12*t)*(1 - 3 - 1)*(-t - 5*t + 3*t)).\nAnswer: -1030*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13726 from -0.543015.\nAnswer: 13725.456985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138009, 138008, 138007?\nAnswer: 138006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-170)*(-18819)\/1107\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -4*x + 8, -35 = 4*b - 17*x - 53 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*y - 62*y = -2649988. What is the highest common factor of 44 and y?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -1, 12, 43, 98, 183, 304?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/21 + ((-204)\/(-21) - 6). Suppose b*v - 14*v = -300. Suppose -i + 93 - 3 = 0. Calculate the greatest common divisor of v and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/12 - 3\/(-12). Suppose 0 = -3*l + 7*l. Let n be (1 + -2 + l)\/(-1). Is m smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 + 44*b - 4 - 42*b)*(-100 + 32 - 116) to u + f*b and give f.\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32353873 and 31450.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5147\/21 + 1718\/7. Which is bigger: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 - 38. Let q(y) = 34*y - 90. Let k be q(5). Calculate the greatest common factor of k and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 26, 77, 148, 239?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 3, 4\/5, 0.5, -38 in increasing order.\nAnswer: -38, 0.5, 2\/3, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/2 of a century?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10212 + 0?\nAnswer: 10212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120431 (base 5) in base 10?\nAnswer: 20116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 131203232131 (base 4) to base 14\nAnswer: 1059b2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 492410028.\nAnswer: 2, 3, 11, 43, 86753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -34 bigger than -50756?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/4)*u*u*u)\/(u\/(u\/u**1))*u\/u**5*u\/(u\/(u**(-7)*u)) assuming u is positive.\nAnswer: u**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228152834 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/13))**(-24)*(o\/o**7)\/(o**(-1\/19)*o) assuming o is positive.\nAnswer: o**(-2628\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 + 2*z**2 + 2*z + 1. Let y be ((-4)\/(-14))\/(4\/28). Suppose -y*d - 2 = -2*g, 11*d - 6*d = -g + 7. Let f(x) = x + 1. Calculate d*s(u) - f(u).\nAnswer: 2*u**3 + 2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -704.99 and 378751514?\nAnswer: 378752218.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 7*q**2 + 5*q - 3. Let o be z(-6). Suppose o*t - t = 14. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 3. Suppose -24 = -b*j + 1. Suppose 0 = -j*k + 31 + 24. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h - 13. Let s be w(3). Suppose 4*a - 4*c = -16, -a = -s*a + 2*c - 8. Solve -4*u - 5*k - 9 = a, -5*k = -k + 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = 55*b - 140*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31774 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*p - 3 + 3 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -7*d + 14*d. Suppose -178 = -d*t + 260. Is 23 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16 + 10)*(-30364)\/24 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/23 (b) 0.4 (c) 0.1 (d) -2 (e) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -30784893, -61569785, -92354677?\n\"Answer: -30784892*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.6 + 0.6. Let c = 0.611 - -0.389. What is the second biggest value in c, 2\/337, i?\nAnswer: 2\/337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + (1 - -4) + 2. Suppose p*k + 4*o = 4*k + 1020, 3*o = -k + 253. Does 32 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 298 and 7152.\nAnswer: 7152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.7 + 4.1. Let q = a + 4.59999894. What is q rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 + (1\/(-1) - -2). Find the common denominator of 97\/2 and ((-2)\/g)\/((-6)\/(-328)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267522.\nAnswer: 2, 3, 44587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -706 + 1493. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (38 - 20 + 27)*(3*x - 4*x + 2*x)*(8 + 4 - 4) as k + w*x and give w.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 53771 smaller than 53771?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 72*w + 480. Calculate y(-11).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16092689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (3 + -5))*-208007. Let f = v + 1046017. Suppose -1318004 = -3*t + f. Round t to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3 - 2 - 24*q - 39*q + 0 + 62*q. Let t(s) = 2*s - 14. Determine -t(p) - 3*w(p).\nAnswer: p + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a year in months?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178 - 947*b + 178 + 2386*b.\nAnswer: 1439*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 129439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -12. Let z(u) = -u**2 + 8*u - 8. Let y be z(6). Let c = y + q. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + j**2 + j + 1. Let l(m) = 2*m**3 + m**2 - m - 4. Give -l(r) - n(r).\nAnswer: -r**3 - 2*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -27697*l**2. Let b(p) = -2*p**2. What is u(b(w))?\nAnswer: -110788*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/(i\/(i\/(i**(-5\/8)*i))*i))\/i*i*i*i\/i**0)**(-9) assuming i is positive.\nAnswer: i**(-189\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3113 - 3202. Are a and -966\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4*f = 64, -5*r - 5*f + 13 = -12. Calculate the remainder when 32407 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 - -11) + (-59 - -108)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 7 - (-21 - (-29 + 9))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l**4*l)*l))**(-46)\/(l**(1\/29)\/(l*l\/l**21)) assuming l is positive.\nAnswer: l**(-5888\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 701532986266 + -5.\nAnswer: 701532986261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q. Let t be 24\/(-9)*-2*3. Suppose 4*u + 2*k - t = k, 4*k = 2*u - 8. Let d(a) = a + 0*a + u*a + 2*a. Determine r(d(z)).\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -147 - ((-55 + 46 - (0 - -12)) + 19)?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 455 divide 268905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, y: 9, a: 8, f: 2}. What is prob of sequence yaf?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i**2 - 120 - 12*i**5 - 216*i**4 - 33782*i + 489*i**3 + 33476*i + 181*i**2 = 0. Calculate i.\nAnswer: -20, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11, -21, -31, -41, -51?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*f**3 + 45*f**3 - 85*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 10) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -78, 61, 460, 1119?\n\"Answer: 130*h**2 - 251*h + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 21*l + 16. Let w be n(8). Suppose -g = -5*q + 4*g + 300, -4*g - w = -3*q. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3061, -6051, -8971, -11821?\nAnswer: -14601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.51 + -84894.6717677.\nAnswer: -84891.1617677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 10 = 0, 5*a = 5*f + 155 + 4540. Let s = f - -1004. Calculate the highest common divisor of 130 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 2\/9, 3, -5 in increasing order.\nAnswer: -11, -5, 2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {y: 5, s: 2, r: 8}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/12*(-3)\/(-6)*1. Find d such that 2\/3 + 4\/3*d + q*d**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 9:51 AM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a day in minutes?\nAnswer: 2340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3520) - sqrt(3520)*-4)*-4)\/(sqrt(396) - (sqrt(396)*5*-1 - sqrt(396))) + 5.\nAnswer: -80*sqrt(5)\/21 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.32 + -51.9816.\nAnswer: -51.6616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.42 - 0.02. Let n = 1115\/9 - 124. Let j be 4*(-4)\/12 - -2. Sort j, f, n in ascending order.\nAnswer: n, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 13*z + 98. Let p be d(-21). Is -176 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 - 176*y + 525*y - 178*y + 401*y**2 - 173*y + 53 as u + j*y**2 + d*y and give j.\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -9*f**4\/4 - 735*f**3\/4 - 3939*f**2\/4 - 4761*f\/4 + 513 = 0.\nAnswer: -76, -3, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -1348092.2 (c) 0.3 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -2, 12.\nAnswer: -5, -2, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*h - 38 = 4*g, g + h = -13. Let c = 13 + g. Which is greater: -6 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(33\/2) + (-24)\/(-132). Suppose 12 = -u*t + 3*t. Does 14 divide (t - (-15)\/(-6))*106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z**2 + 6. Let o(t) = 5*t. Let f = 220 + -226. Let p(i) = 14*i. Let k(q) = f*p(q) + 17*o(q). Calculate r(k(u)).\nAnswer: 7*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -353 + 351. Which is the nearest to -0.11? (a) -1\/4 (b) 1\/3 (c) -5 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000056555 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*q + 3)*(-3 + 4 - 3) + q - q - q + (-9 - 27 + 2)*(0*q + q + 0*q).\nAnswer: -31*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1557460 by 1.\nAnswer: 1557460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(21) - (sqrt(42)\/sqrt(2) - sqrt(21))) + sqrt(21))\/sqrt(7) + (2*sqrt(243) + sqrt(243) + sqrt(3))*2)**2*6.\nAnswer: 2784*sqrt(3) + 60648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l**3 + l - l)*(-4 - 2 + 4) - 13*l**3 - 6*l**3 + 26 + 21*l**3 to the form q*l + k + g*l**3 + p*l**2 and give k.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*k + n + 22, 5*n - 2 = k. Let w be ((-13)\/39)\/(4\/3). What is the second biggest value in k, -0.3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 7*b + 4. Let g be q(-6). Suppose 15 = -4*l - 3*a, 4*l - 3*a = -a + g. Let r be l\/(-6) - -2*1. Solve 3*f - 4 = r for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -86. Suppose 0 = 4*b + 8, -4*q = -0*b + 3*b + 190. Let a = o + q. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (10 - (16 - 7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 4*w - 22318, 89*w - 87*w - 55835 = -5*d. What is d rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61848, 61818, 61788, 61758?\nAnswer: 61728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5983038 is divided by 187?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84 - -59. Let g = 85 + z. Let h = 110 - g. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1291 (base 14) to base 8\nAnswer: 6277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 5282738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -97 + 68. Let q = 26 + c. Let u be (q - -6)*10\/6 - 1. Solve u*g - 12 = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1567\/4, -33, -0.2 in increasing order.\nAnswer: -33, -0.2, 1567\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 13789 = 4*b - 3*u, 3*u - 13771 = -4*b. Suppose -16*y + 11*y + b = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39904 is divided by 112?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 5\/9, -4\/273, 2.1, 1\/2 in decreasing order.\nAnswer: 4, 2.1, 2, 5\/9, 1\/2, -4\/273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i**4 - 3715*i**3 + 3725*i**2 + 3715*i - 3720 = 0. What is i?\nAnswer: -744, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 + 0.27. Let p = 0.2 - f. Let m = 2\/5 + -4\/5. Which is the nearest to p? (a) m (b) -3\/2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 1\/48, -0.2034, 5, -0.4 in decreasing order.\nAnswer: 5, 2\/9, 1\/48, -0.2034, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9185.2332 rounded to the nearest integer?\nAnswer: 9185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o - 19 = 4*o. Which is the nearest to o? (a) -5 (b) -0.4 (c) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 0*t - 2*t - t - 2*t + 4*t. Let l(k) = -7*k**2 + 5*k. Let q(h) = -8*h**2 + 6*h. Let r(y) = -6*l(y) + 5*q(y). Calculate r(o(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -462*b + 78056. Calculate m(168).\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2663300 (base 7) in base 5?\nAnswer: -42223342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13689925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -325183 by 1.\nAnswer: -325183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -13. Suppose -d*q = -q - 110. What is the remainder when q is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16487465*t + 5*t**2 - 8243810*t - 8243655*t.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/3))**16*s**4*s*s**0\/s assuming s is positive.\nAnswer: s**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12, 53, 130, 243, 392, 577?\n\"Answer: 18*q**2 - 13*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -5*g**4\/12 - 6*g**2 + 6*g. What is the derivative of a(r) wrt r?\nAnswer: -10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 6)*(1 - 1 - v) + 565*v - 94*v + 379*v.\nAnswer: 848*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -65*d**3 + 5*d**2 + 5*d - 7. Is k(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -150, 4, 1 in increasing order.\nAnswer: -150, -7, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 12*a**2 + 0*a**6 - 1\/280*a**7 + 1\/16*a**4 + 0*a + 3\/80*a**5 + 0*a**3 + 0. Find c, given that l(c) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 25*d. Let q be v(0). Suppose -4*m + 83 = r, q = -73*m + 74*m + 2. Solve -87*f - 16 = -r*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 13*n**2 + 16*n - 5. Let c be r(11). Suppose -c = -5*m + 857. Suppose m = k + k. Is k a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**4\/11 + 244*c**3\/11 + 113446*c**2\/11 - 7374168*c\/11 - 1826738568\/11 = 0. What is c?\nAnswer: -146, 207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -104 - (8 - (22 - 39))\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, k: 1, d: 1, b: 1}. Give prob of picking 1 x and 1 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 210 + -120. Let k be 63\/p*25*(1 + 5). Let g be (-2)\/(-6) - (-132)\/9. Calculate the greatest common factor of k and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 - 52*o**2 + 53*o.\nAnswer: -o*(o - 1)*(o + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27.495 + -0.305. What is i rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5407 - 5393. Let n(j) be the first derivative of -h + 1\/3*j - j**2 + j**3. Factor n(k).\nAnswer: (3*k - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1717, 1641, 1565, 1489, 1413?\nAnswer: 1337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 35 (b) 0.74 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6737.\nAnswer: 6737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -593*s - 3865. Calculate l(-6).\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 129 = -125. What is the nearest to s in -1\/3, -0.5, -16?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1000 (base 2) to base 3\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -v - 24. Let d be v\/(-4) - 1499998\/1. Round d to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7.991125 milligrams?\nAnswer: 0.000007991125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 1 - (-85 + 77)) + (133 - 5) + -4?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - r + 65 = -12, -10 = -2*r. Suppose -4*n = -n - z. Calculate the remainder when n is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31986 = 5*u + 4*w, 63*u - 62*u = 5*w + 6403. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 995*g - 424. Let h be m(1). Is -7 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/204)\/(6\/18)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52 and 6?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 21*j**2 + 100*j - 1602. Is w(51) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1\/15)*j**(-2\/155)\/j*j*j**(-3)*j**37\/j assuming j is positive.\nAnswer: j**(15308\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 10, 17?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -11 + (-85 + 151 - 58).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6545, -6551, -6569, -6605, -6665, -6755, -6881, -7049?\n\"Answer: -s**3 + s - 6545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -108, -295, -600, -1017, -1540?\n\"Answer: a**3 - 65*a**2 + a - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (938\/804)\/((-2)\/12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -137 + 213. Suppose 0*n - 4*n + i = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 3:06 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/391146 and -19\/121002.\nAnswer: 16819278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -14457\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2668 and 393008.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*y + 6, -2*y + 2 = -a - 7*y. Suppose -3*t = w + 2, -173*w = -178*w + t + 6. Let h = w - a. Solve h = v - 0*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188 = -8*i + 4*i. What is the remainder when i is divided by 2 + 10\/(-6) + (-210)\/(-18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*i + 336 = -34*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-4 + 6 - -3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 12200?\nAnswer: -12201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -52*c + 10. Let v(o) = 15*o**2 - 5. What is a(v(q))?\nAnswer: -780*q**2 + 270","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o - 6. Let w be p(5). Let y(u) = u**3 - 3*u**2. Let v(t) = 5*t**3 - 16*t**2. Let m be (-9)\/(-5) - 2 - (-66)\/30. Determine m*v(h) + w*y(h).\nAnswer: -h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1870 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -20*u - 11. Let z(w) = -w**2 + 12*w - 5. Let i(k) = -k**3 - 7*k**2 - 8*k. Let f be i(-6). Let g be z(f). Let d be y(g). Round d to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**2\/21 + 2*o\/3 - 12\/7 = 0.\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19415 is divided by 4852.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11898 or -966\/13?\nAnswer: -966\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9\/206 - 2837\/103. What is the common denominator of o and (-41)\/48*2 - 1?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13 + -1170?\nAnswer: -1155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/4)\/q*q*q**(-16))**23)**(-9) assuming q is positive.\nAnswer: q**(13041\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/22 + 372\/132. Solve -2 = -m + 2*t, 0*m - 8 = u*m + t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 9*r + 10. Let y(k) = 5*k - k - 2 - 3*k. Let v be y(-6). What is the units digit of j(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1600.0000749 - 1600. What is g rounded to six decimal places?\nAnswer: 0.000075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -111?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -432*d - 63 wrt d?\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -214022?\nAnswer: 214024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d. Let v(r) = -165*r. Calculate v(a(b)).\nAnswer: 660*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 410 and 179390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 2*o + 7. Suppose -186*r + 8 = -182*r. Suppose -l = -2*w + 5, -r*w + 2*l - 13 = 7*l. What is the least common multiple of a(0) and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -129 in 2, 1, 1\/4, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 92*k**3 - 16*k**2 + 92*k - 23. Is o(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2613407 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4349 - -4357. Solve -2*i + 30 = -q*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 561990 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 7*w**3 - 42*w**2 - 291*w + 31. What is q(-9)?\nAnswer: -5855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by -1454.\nAnswer: -23\/1454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(((-8)\/(-6))\/((-172)\/516)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -599900 by 28.\nAnswer: -21425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*a + 149*a - 3298 = 61*a. Solve 3*i - 2*r - a = 0, 3*r + 167 - 161 = -2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 - 73*f**2 + 10769*f\/3 + 277235\/3.\nAnswer: -(f - 35)*(3*f + 89)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7846 + 7850 + 5139*d + 7841 - 23537.\nAnswer: 5139*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 4*x**2 - 3*x + 9. Let z be g(-5). Let q be (0 + 3\/6)\/(z\/(-10)). Suppose 10*a - 440 = q*a. What is the remainder when a is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 + 21 = -22*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 613426*o + 1226813. Determine a(-2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1989 divide 1091695796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence evc when three letters picked without replacement from {v: 1, e: 1, d: 2, t: 4, c: 1}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**(-19)\/(o**0)**23 assuming o is positive.\nAnswer: o**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*d = -3936, -4*k + 3941 = -3*d - 0*d. Suppose 0 = -2*n + c + k, -n - n = 2*c - 980. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33683 is divided by 880.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78628, 7, 6 in ascending order.\nAnswer: -78628, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**2 + 19*h + 732. Let l be m(24). Calculate the greatest common factor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -43, -93, -145, -199?\n\"Answer: -y**2 - 47*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 369023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 5:33 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -12446246478.\nAnswer: -12446246478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -17*t - 4*o - 40, -t - 3*o - 22 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028532 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 282372 to the power of 1\/2, to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 4. Let t = 1.1 + p. Sort t, 0, -1\/6 in increasing order.\nAnswer: -1\/6, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 2435.2209 minutes?\nAnswer: 0.241589375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/5)*q)**(-29)\/(q**(-18)\/q*q*(q*((q*q**13)\/q)\/q*q)\/q) assuming q is positive.\nAnswer: q**(-62\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6, -6967, -13928, -20889?\n\"Answer: -6961*q + 6955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1536?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -6. Calculate the lowest common multiple of (3 - -5) + n + 2 and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 11:40 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -405490, -810982, -1216474, -1621966, -2027458, -2432950?\n\"Answer: -405492*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7199596 divided by -7199596.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 3*x + 5. Let c be p(2). Solve 0 = 3*s - 2*k + 10, -3*k = -c*s + s - 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(18)\/(sqrt(6) + sqrt(24)\/sqrt(64)) - (-4*sqrt(12) - (1 + sqrt(3) + (sqrt(3) - sqrt(9)\/sqrt(3))**2 - sqrt(3))).\nAnswer: 1 + 56*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r - 2. Suppose 2*f + 8 = -2*f, -5*y = -f - 22. Determine x(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50 - 21. What are the prime factors of h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a**2. Let r(j) be the second derivative of j**5\/15 - 7*j**2 - 21*j - 2. Let o(p) be the first derivative of r(p). Determine o(n(k)).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 2094 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**3 + 3*h**2 - 6*h + 2. Let l = -26 + 19. Let u(p) = 6*p**3 - 10*p**2 + 19*p - 7. What is l*x(o) - 2*u(o)?\nAnswer: 2*o**3 - o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {r: 3, n: 3, v: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/30 + (-205)\/(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 10 = -3*n - 2*n, v - 18 = 4*n. Suppose -2*t + 5*k = -10, -4*t + k = v*k - 20. Solve -4*d = 2*z - 14, -t*d + 11 = 4*z - 14 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -106640, -213281, -319922?\n\"Answer: -106641*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-561054)\/273)\/((-4)\/28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1072962 is divided by 11169?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9*p - 42. Let h be j(0). Let n(o) = o**3 - o**2 + o + 1. Let k be n(2). Find the common denominator of -1 - k\/(-3) - h\/468 and -9\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 582864 and 6?\nAnswer: 582864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28433, -26849, -25265, -23681, -22097, -20513?\nAnswer: -18929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42*0.2.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 705650306 + 1?\nAnswer: 705650307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 - 9*z - 2. Let q be m(6). Let j = 14 + q. Let f(a) = -2*a - 7. Calculate f(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157777 to the power of 1\/2, to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 0 + j - 5 + 4 + 0. Let n(p) = 6*p + 1. Let u = 1032 - 1033. What is u*n(w) + 5*c(w)?\nAnswer: -w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -16, 35, 1362, -2?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 - -94. Calculate the remainder when (1 - a\/(-8))*(5 + -1) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 64*v - 429. Is 9 a factor of h(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 3*i - 124, 2*i - 264 = -5*s + 3*s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2\/(-3)*9\/(-30).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 5*v**3 + 4*v**2 - 5*v - 7. Let c(k) = 11*k**3 + 7*k**2 - 13*k - 13. Let y(g) = -4*c(g) + 9*u(g). Calculate y(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 2 = -4*f, 2 = 55*d - 51*d + 2*f for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 + 14. Let u = 0 - -0.3. What is the closest to h in -4, 1\/5, u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 5. Let a be (2 - 3)\/(z\/(-9)). Solve 2*r - 3*v + 4 = a*r, 4*r - 5 = -v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5768217 - -22333783. Round w to the nearest 1000000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((20\/(-3))\/(-4))\/((2\/7)\/((-509856)\/37177))\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3622*x - 14 = -3620*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71229 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 11*y**3 - 2*y - 1. Let m be (75\/(-6) - -2)*2. Let r be -3*(-2)\/m*-7. Is x(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 2*d**2 + d**2)*(2142 - 323*d - 2142 + (-1 + 3 - 3)*(2*d - 3*d + 0*d)).\nAnswer: -644*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-12) + 7\/4 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -8. Let a(g) = g + 5. Let o be a(-6). Calculate the smallest common multiple of (-16)\/(-12)*f\/o and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2012367.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1363 and 49820?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 862605?\nAnswer: 3, 5, 29, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -101 at most -104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-16)*b\/(b**(-7)*b))**21\/(b**(-2\/25)\/(b*b\/b**(6\/11)*b)*b**(2\/5)*b**(-1\/8)*b) assuming b is positive.\nAnswer: b**(1111571\/2200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9959 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-27)\/(-4) - (-3)\/12. Suppose k = 3*i - d, -2*i = -k + 2*i - 10. Is 4\/(k\/16*2) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*j = 16*j + 2. Put 3, 0, j in decreasing order.\nAnswer: 3, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59905\/12 + 4996. Find the common denominator of 113\/12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 656128104*i**2 + 150835959*i?\nAnswer: 1312256208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 24*z**2 + 25*z + 7. Let w be s(23). Suppose 0 = -3*g - 2*n - 3*n + w, 4*n = -g + 20. Solve -2*q + 24 = -6*q + 3*c, 4*q - c + g = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -294? (a) 0 (b) 0.5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12540 - 11131. Solve 11*i - t + 1442 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/48*10 - (-67)\/26.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k**3 + 1081 - 1081.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixxi when four letters picked without replacement from ixxxxiiiiixi.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 866241013 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -80 greater than or equal to -111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 8 (b) 1 (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1976*z + 2 = -1972*z + 2*v, -3*z + 130*v = -396 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.3 + -3.5. Let z = j - -6. Which is the second biggest value? (a) 6 (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 177128.\nAnswer: 19\/177128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 2, -28846, -2, 4 in descending order.\nAnswer: 4, 3, 2, 0, -2, -28846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 12, 4*f + 6*p = 2*p - 68. Let b(h) = h**3 + 2*h**2 - 4*h. Let c be b(3). Let d = f + c. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.22472 decades in years?\nAnswer: 342.2472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1516, -2180, -2844?\n\"Answer: -664*m - 852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/19*630\/540*(-3)\/(-7).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 - 109 = 35*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 4*l**2 + 7*l + 1. Let r be d(-5). Does 8 divide (r\/6)\/(-3)*16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -737*z**3 + z - 2*z - 2*z**2 - z.\nAnswer: -737*z**3 - 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = -22*f + 382 - 217 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - g = 0, 5*n + 4*g + 0 - 3 = 0. Let u(t) = t**3 + n*t**2 + 4*t - 11*t + 6*t. Does 12 divide u(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 2*a + 2*a - 3 + 3 - 2*a + (-3 + 6 - 1)*(0*a + 0*a - 2*a))*(-1 - 15 + 28).\nAnswer: -108*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 20.63243 weeks?\nAnswer: 12478493664000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -369*r**2 + 0 + 364*r**2 + r**3 - 5*r + 8. Let b(t) = t**3 - 4*t**2 - 5*t + 7. Let u(q) = -4*b(q) + 3*y(q). Give u(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45258688 divided by -1448.\nAnswer: -31256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1550 = 11*n - 2080. List the prime factors of n.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 2*b**2 + 2*b - 204. Let j be v(0). What is the units digit of ((-12)\/10)\/((j\/1480)\/17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 3:16 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 9 = 5*a, 18 = -4*n + a - 9. Calculate the smallest common multiple of (2 - -1)*(-2)\/n and (5\/(-2))\/((-5)\/12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 114502 (b) 0.11 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2280 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 14*o**2 - 10*o + 152. Let s(t) = 17*t**2 - 12*t + 152. Calculate 6*m(x) - 5*s(x).\nAnswer: -x**2 + 152","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f + 3*f + 809 - 809.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*q - 20*q = 600. What is the remainder when q is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.312933063 rounded to 2 dps?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 12:29 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -w - 6, s - 48 = -2*w - 3*s. Suppose o = -0*u - 2*u + w, 0 = -3*u - 5*o + 35. Suppose -4*h = -5*l + 3, -l + 7 = 3*h - u. Solve c + 6 = h*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51\/193 + -122759\/772. Let p = k + 1859\/12. Which is greater: p or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 61407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -16. Let s be (-6 - -2)*(-1)\/r. What is the nearest to -0.1 in 5\/2, s, 6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 + (0\/(8\/2) - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-1))\/(-20))\/((-8)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3863, 7723, 11583, 15443?\nAnswer: 19303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 561840?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2 - 21*z + 6. Calculate the least common multiple of 5 and m(-7).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 - 10*d - 3. What are the prime factors of u(-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -327 - -589. Suppose -3*b + 4*c + 4 = 0, -5 = 2*b + 7*c - 2*c. Suppose b = 59*t - 61*t + s. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3344, -3426, -3574, -3800, -4116?\n\"Answer: -2*l**3 - 21*l**2 - 5*l - 3316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**1*q)\/(q*q**(1\/4))*(q**(2\/5))**(-1\/6) assuming q is positive.\nAnswer: q**(161\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 529\/(-1472)*-32*-2.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*746.\nAnswer: -223.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273501.\nAnswer: 3, 30389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 2:00 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2173 (b) -1\/21 (c) -0.4 (d) -9 (e) -0.5 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 0.0019.\nAnswer: 0.1019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventeen quarters of a tonne?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**5\/120 - w**4\/16 + 6*w**2. Determine c, given that f(c) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5. Let i(u) = 1. Let h(n) = -11*i(n) - 2*z(n). Let d(b) = 4*b**2 + 4. Suppose 1596*x - 1597*x + 11*p = 26, 4*x = 2*p - 20. Calculate x*h(s) - d(s).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssz when three letters picked without replacement from dddszkdkkkdddsd?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 17, 16, 9, -10?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/126, 1\/7, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 62002 (b) -0.3 (c) -6 (d) 6\/7 (e) 0.5 (f) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 3, 6625, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 462, -4, 1\/5, 1\/4.\nAnswer: -4, -1\/5, 1\/5, 1\/4, 462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/28 of a week in minutes?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24203*u**2 + 3695*u**2 + 16168*u**2.\nAnswer: 44066*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2351983727?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -261.704 and 4964.148?\nAnswer: 5225.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-42))\/((9\/((-441)\/(-56)))\/(-2)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40 + 211102?\nAnswer: 211142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -85*c**5\/3 + 3568*c**4\/3 - 5667*c**3 - 802802*c**2\/3 + 8141120*c\/3 + 64000 = 0. Calculate c.\nAnswer: -15, -2\/85, 16, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100 + 62 - 78)*(5*t - 3*t + 2 - 4*t).\nAnswer: 232*t - 232","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 3, -1.094, -1\/2, -2\/25, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 15*v - 19. Let h be q(15). Let k = h - -21. Solve -2*c - k*c = 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 + -18. Let b = z - 22.1. Let n = -0.3 - 0.2. Put b, 1, n in decreasing order.\nAnswer: 1, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11820 and 21420204?\nAnswer: 2364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 461*5\nAnswer: 2305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -30*l**3 - l**2 - 7*l - 7. Let o be a(-2). Let i = -210 + o. What is the least common multiple of 3 and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + i**2)*(4 - 5 + 3)*(-19 + 2*i + 19).\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 19 = -0*l + 5*m, -5*m + 22 = 2*l. Sort -3, l, -2.\nAnswer: -3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 1, 0.\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336*m + 341*m = 110. What is the remainder when 240 is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 + -36. Let x be ((-21)\/14)\/((-3)\/(-8)). Let q = x - -68. What is the greatest common divisor of q and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 5. Let i be 5 + t + -4 + 13. Calculate the highest common divisor of 15 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**6\/2 - 5*l**2\/2 - 3. What is the second derivative of m(s) wrt s?\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -493 - 95*d**2 + 49*d**2 + 41*d**2 + 30*d + 1743 - 105*d.\nAnswer: -5*(d - 10)*(d + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2063 + 6188\/3. Let j = -23 + 87\/4. What is the nearest to z in 2, 0.3, j?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 13*b + 4. Let g = 16 - 28. Let t be w(g). Let s(z) = -z**2 - 5*z + 11. Let x be s(t). Is -11 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -90, -2, 0.5, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -16*m + 12*m. Suppose 3*t + 5*k = 32, 0*k + k = -3*t + m. Suppose -17 = t*f - 213. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p**2 - 11*p**2 + 573*p**3 - 2*p**2 - 1105*p**3 + 541*p**3.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7433 is divided by 201?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 235032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + -19 - 2) + 705 + -687?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 + 17864004*d**2 - 71455968*d + 71455952.\nAnswer: -4*(d - 4465997)*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r = 556 + 120. Solve 0*t + t + 5*u - 25 = 0, -2*t - 4*u + r = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/2003 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -162, -317, -486, -675, -890, -1137, -1422, -1751?\n\"Answer: -r**3 - r**2 - 145*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 511, 443, 347, 235, 119, 11?\n\"Answer: 2*f**3 - 26*f**2 - 4*f + 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 36*a**2 - a + 3. What is the remainder when 187 is divided by m(1)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 3, 37, -7, 5, -2 in descending order.\nAnswer: 37, 13, 5, 3, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -169\nAnswer: -67.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 5. Suppose 0 = 2*f - 4*q + 20, -4*f = -f + o*q - 14. List the prime factors of (-9)\/2*f\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212222100 (base 4) to base 7\nAnswer: 1226445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.015 and -1.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1398086 from -0.085.\nAnswer: -1398086.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 5:05 AM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/20 - (-2 + 57\/20).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45607280 or 45607288?\nAnswer: 45607288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, j: 2, y: 2, f: 1, t: 2, w: 5}. Give prob of picking 1 y and 1 f.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 772206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 77 + -40. Let c = m + -38. Sort 99, -3, c in descending order.\nAnswer: 99, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 7385902 - -3)*(3 + 4). Let i = -80901279 - p. Round i to the nearest 1000000.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -13*n**4 + 29*n**3 - 72*n**2 + 67*n - 18. Let b(g) = -4*g**4 + 10*g**3 - 24*g**2 + 22*g - 6. Let c(f) = 14*b(f) - 4*v(f). Factor c(i).\nAnswer: -4*(i - 3)*(i - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37465 and 236885.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 9:01 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*r + 14429 + 174 = 324 for r.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-72 + (-2 - 4\/(-1)))\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**5\/20 + 8602*b**2. Let r(l) = 1315*l. Determine t(r(q)).\nAnswer: -5187675*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 - 2)*(0*v + v + v) + 10*v - 1971*v + 217*v + (3 + 0 - 2)*(2*v + 3*v - 4*v) to g + f*v and give f.\nAnswer: -1755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*s**4 + 39*s**4 - 68*s**2 + 10*s**4 + 6*s**4 wrt s?\nAnswer: 1872*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -395?\nAnswer: 39a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*k = -92*k - 38*k. Let w(o) be the third derivative of -1\/10*o**6 + k*o - 11\/8*o**4 + 2*o**3 + 0 - 29*o**2 - 19\/20*o**5. What is a in w(a) = 0?\nAnswer: -4, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/20 - (-35)\/25. Let a be (k\/6)\/((-7)\/(-588)). Calculate the highest common factor of a and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vxrx. What is prob of sequence rxxv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**7)\/n**(-2\/7))\/((n*n\/n**(-3\/5))\/(n\/n**(-23))))**(3\/40) assuming n is positive.\nAnswer: n**(3117\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -12. Let z = -12 - d. What are the prime factors of (-10)\/z*(-11)\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*t - 2 = 0, 2*t + 8 + 0 = -5*z. What is the closest to 2 in z, 0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 - s**2 - 4*s**5 + (2*s + 2*s**3 - 2*s)*(0*s - s + 2*s)*(15 - 3 + 1)*(6*s + 75*s - 16*s).\nAnswer: 1686*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**3 - 56*d - 12*d + 26*d - 2*d**3 to r + k*d + t*d**3 + y*d**2 and give k.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 4. Let i = -0.536558 + 0.036558. What is the closest to g in -3, 4, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -731532585 divided by -1833415\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 8*q**2 - 16*q + 7. Let a be -5*(((-1456)\/(-42))\/(-26) - (-14)\/6). Give j(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(1\/4))**(-1\/20) assuming u is positive.\nAnswer: u**(-3\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 48\/6 - 2*1. What is the greatest common divisor of 9 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 2*b**5\/65 + 2335*b**4\/78 - 584*b**3\/39 + 6341*b. Factor o(t).\nAnswer: 2*t*(t + 584)*(4*t - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79206228 to the power of 1\/2, to the nearest integer?\nAnswer: 8900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3519864*f**4 - 49478 wrt f?\nAnswer: -14079456*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22\/19 + 431\/38. Let h = j + -12. Let s = -0.2 + 0.2. Is s > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r - 3*r + 0*r - 3 + 0*r - 3*r + 4*r + (3*r - r + 0*r)*(1 + 0 + 0).\nAnswer: 4*r - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m. Let t(b) = -3247 - 22*b - 3294 + 6539. Calculate t(s) + 4*w(s).\nAnswer: -26*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 11:39 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 760431.8 millilitres in litres?\nAnswer: 760.4318","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 458823*h = 458825*h - 4*c - 2, 24*h + 241 = -5*c for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 165\/5082*110 + 6\/14. Solve 4*l - 6 = -w + 11, 0 = g*l - 3*w + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from {e: 4, b: 8, j: 3, i: 3, h: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - -36. List the prime factors of w.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-5))\/(9\/18). Let m be -1 + 1 + 33\/(-44). What is the smallest value in l, m, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 1. Let v(a) = -a - 65. Let z(g) = -2*b(g) - v(g). What is the remainder when z(-15) is divided by 44?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 360127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -29.7*5\nAnswer: -148.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**4\/4 - 7*f**3\/3 + 3*f**2\/2 - 15*f - 1070. Calculate u(6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -595 - -6385. What are the prime factors of f?\nAnswer: 2, 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3383 - -3383.3. What is the nearest to -1 in -11\/4, -7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -338 and -139.\nAnswer: 46982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -1551. Let m(x) = -x + 1035. What is 7*c(y) + 11*m(y)?\nAnswer: -11*y + 528","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2. Let l = -32 - -34. Suppose 2*b = i - 3*b - 13, -4*i + 2*b = -16. Let y(g) = -l*g**2 + 4*g**2 - i*g**2. Calculate y(q(a)).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 21205195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 11:46 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -790353 - 34?\nAnswer: -790387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7116, 7120, 7124, 7128?\nAnswer: 7132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + 4\/(-8 - -4). Let l be -3 + (-51)\/(-54)*b. What is the nearest to 1\/3 in l, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24360 - 3*c + 24360.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/4)\/((-15)\/300). Let b be ((-2)\/a)\/((-42)\/10185). Let o = -48 + b. List the prime factors of o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5272 + -5102. Calculate the greatest common divisor of p and 1360.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5821 - -5954. Solve 41 = 29*u - k for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34027310 is divided by 8541?\nAnswer: 8507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 8*j**2 + 4. Let r be l(8). Let y be r*1 + -18 + 22. Solve -2*t + 5*q = y, 2*t + 5*q + 4 = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 41 - 181 = 0. Solve s = 4*f - 2 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2057 = 13*z + 3598. Let n = z - -447. Calculate the greatest common divisor of 27 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*v + v = 97, 5*w + 2*v - 162 = 0. Calculate the smallest common multiple of 18 and (-2)\/(-3) + w\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -11*d**2 + d + 17*d**2 - 1 + 17*d**2. Suppose 2*o = -4*v + 6, -4*o - 2*v - v = -7. Is 14 a factor of x(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -15, -3.331, 30?\nAnswer: -3.331","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/2 - 1106\/(-56)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -2\/3 (c) 36\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1441 (b) -5\/4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 493604.2 litres in millilitres?\nAnswer: 493604200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 774322, 774251, 774132, 773965?\nAnswer: 773750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbbwybwbbwwbwy?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 659568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 315415.4ml in litres?\nAnswer: 315.4154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 10:23 AM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**5\/5 + 3*r**4\/4 - 10*r**3\/3 + 1371. Factor w(q).\nAnswer: q**2*(q - 2)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 163310.6 rounded to the nearest one thousand?\nAnswer: 163000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00189881 to four dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 8457.99855\nAnswer: 8457.89855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k**2 - 42*k - 2. What is the least common multiple of j(-5) and 189?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3467 - 3463. Let s be (-44)\/5 - (-3)\/(-15). Let g be s\/(-6)*(-4)\/14. What is the closest to 1 in p, g, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**5\/7 + 608397*l**4\/7 - 4258683*l**3\/7 + 10342443*l**2\/7 - 10342410*l\/7 + 3650256\/7 = 0. What is l?\nAnswer: 1, 2, 3, 202792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 334 (base 6) to base 14\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-9)*k**(-6\/5))\/(k\/k**(2\/3))**(-41))**(-22) assuming k is positive.\nAnswer: k**(-1144\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 729, 2866, 6413, 11352, 17665, 25334?\n\"Answer: -3*f**3 + 723*f**2 - 11*f + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b (base 15) to base 10.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 42?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26510 (base 9) to base 14.\nAnswer: 6754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**0)**7\/((m*m**(-1\/6)*m)\/(m**(-10)\/m)) assuming m is positive.\nAnswer: m**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/8 - (-1407)\/8580. Let c = 32\/143 + -34\/143. Let t = c + g. Sort t, -5, 0.2 in descending order.\nAnswer: t, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3\/2 - 1300*r**2 + 5230*r - 5240.\nAnswer: -5*(r - 2)**2*(r + 524)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and 316554?\nAnswer: 316554.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*v - 653 - 194 + 197 = 0 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 5 = -5*t, -5*k - 3 = 4*t - 5 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from igigiiiiig.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -634, -1242, -1826, -2386, -2922, -3434?\n\"Answer: 12*y**2 - 644*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -39*t**2. Let x = -3362 + 3360. Let r(z) = 3589*z**2. Give x*r(w) - 185*u(w).\nAnswer: 37*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 144\/2197 - 168281\/790920. Let u = 3\/40 - f. What is the biggest value in u, 0.2, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12631, 12637, 12645, 12655, 12667?\nAnswer: 12681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2109 times 0.04\nAnswer: -84.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*3*4\/18. Let q be (-16)\/20*5\/w. Let k(f) = -7*f**2 + 13*f**2 + 2*f**q - 6*f**2. Let x(o) = 3*o. Give k(x(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 66652.91 micrograms in kilograms?\nAnswer: 0.00006665291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -12*w + 26. Is u(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39554361 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3833, -3821, -3701, -3473, -3137, -2693?\n\"Answer: 54*r**2 - 150*r - 3737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -0.5, -1910 in descending order.\nAnswer: -0.5, -2\/3, -1910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -26.98175 and 2893062.\nAnswer: 2893035.01825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*sqrt(726))\/((-1*sqrt(30))\/sqrt(10)).\nAnswer: -132*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + 10 + -1 + -9 + (11 + -3 - 18)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 2 - -1)\/((-44)\/(-33)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 0. Let n = 0.375 - -6.935. Let t = 4.31 - n. What is the nearest to 1 in t, 0, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 8, 0.2, 11315?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64 + 41 - -46) + -37?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**2 - 9*x + 11 - 13 + 2*x + 2 - 2 - 3*x**2 + (-3*x + 2*x + 3*x)*(2*x - x + x) + 2*x**2 + 0*x**2 + 0*x**2.\nAnswer: 2*x**2 - 7*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 55*h - 74. Let g(d) = -28*d + 36. Let l(p) = -10*g(p) - 4*m(p). Determine f, given that l(f) = 0.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 10*j**3 + 5*j**2 - 2*j - 2. Let k be 12*2\/4 - 3. Is f(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -153 + 106. Let u be g\/5*-1 - (-14)\/(-35). What is the greatest common factor of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = 5*a + 3*m, 2*a + 4*m - 41 - 31 = 0. Suppose -u - u + a = 4*k, -45 = -5*k - 2*u. Calculate the greatest common divisor of 11 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*z**3 + 556998*z**2 + 5*z - 334708992?\nAnswer: -33*z**2 + 1113996*z + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*g + 70*g + 2 = 0. Let y be (-1 + -2)\/(6\/(-8)). Suppose 3*t - y*t + 14 = 0. What is the least common multiple of t and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3408\/(-13464) + 2\/(-22) - 3. Let x = -2\/187 - p. Let d = 7 - 4. Which is bigger: d or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 - -47. Let y(o) = o + 10. Let i be y(p). Sort i, 5, -5 in ascending order.\nAnswer: -5, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 55*l**2 - 18*l + 29. Let x(f) = 52*f**2 - 19*f + 33. Calculate -8*p(z) + 7*x(z).\nAnswer: -76*z**2 + 11*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -76\/1341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -17*r. Let s(k) = 13*k**2 + 1374 + 39*k**2 - 1377. Calculate s(z(j)).\nAnswer: 15028*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*l*o**6 + 9*l*o**2 + l - 100*o**6 + 2*o**3 - 18*o - 2 wrt o?\nAnswer: -840*l*o**3 - 12000*o**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131332, -131322, -131302, -131266, -131208?\nAnswer: -131122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*o + 30. What is the least common multiple of o and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w + 0*w - 2*w + 27.\nAnswer: w + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-78)*(40\/(-35))\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(13\/6))**16)**(-42) assuming p is positive.\nAnswer: p**(-2128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a millimeter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*c = -18. Let m be c\/42 + (-3)\/7. Solve 6 = -m*i + 2*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b + 7c04b?\nAnswer: 7c020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24 + -22332?\nAnswer: -22411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89060511.\nAnswer: 3, 53, 73, 7673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/8 and 1\/56436112.\nAnswer: 56436112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/7 + 960*n**2\/7 - 307200*n\/7 + 32768000\/7.\nAnswer: -(n - 320)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 117\/(1*(-3)\/(-28)) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -10 (c) -1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1547 and 7553.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 24. Let j be (-6 - -9)*(-1)\/18. What is the third smallest value in g, j, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -213*d**6\/20 + d**5\/30 + 13*d**4\/12 - 1195*d**2. Find the third derivative of q(g) wrt g.\nAnswer: -7668","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 422859 or 422755?\nAnswer: 422859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**2\/7 + 12*i\/7 - 32\/7 = 0?\nAnswer: -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 216125830199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 18. What is the smallest common multiple of n and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.21 + -0.11. Which is the nearest to 0.1? (a) -1\/2 (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 292050 and 12097950?\nAnswer: 399232350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.02, 2, -4, 3, -4.1, -20?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -6*p**3 + p**2 + p. Let n = 13 - 10. Suppose -d = -n*d - 2. Calculate w(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 126884 to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 - -37. Suppose -o - 18 = f. Let s = o + 56. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g**3 + 2*g**2 - 1. Let t be r(1). Let q = t + -2. Let o = 15 - q. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f**3 + 3*f**2 + f + 1. Let m be s(3). Let i be -3 + 1 + 32 + -2. What is the highest common factor of m and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*j - 18 - 14. What is the biggest value in 0.031, 2\/5, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -231 = -7*v + 3*v - 5*m, m + 261 = 4*v. Suppose -2*d - 22 = n + d, 4*n + 3*d + 115 = 0. Let x = n + v. What are the prime factors of x?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78938 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 10. Let b be z(0). Let h = -10 - b. Suppose 0 = -5*s - 0 - 5. Which is smaller: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2273*t**3\/5 + 495517*t**2\/10 + 499733*t\/10 - 33 = 0. What is t?\nAnswer: -1, 3\/4546, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-3) - 10\/15. Let f = -6 + 6.5. Let w be (-1 - 4)*1 + 0. Which is the biggest value? (a) w (b) f (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 19*h. Let w(m) = -m**2 - 192024*m + 1. What is w(a(k))?\nAnswer: -361*k**2 - 3648456*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7918816594\/8549959 + -2\/777269. Let h = l - 926. Factor 6\/11*u - h*u**2 - 4\/11.\nAnswer: -2*(u - 2)*(u - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7607, 2, 4289, 0 in ascending order.\nAnswer: 0, 2, 4289, 7607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 34873\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j. Let m(s) be the first derivative of 2*s**2 + 7. Calculate f(m(u)).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -32. Let r = y + -9. Which is smaller: 0.1 or r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 20 = -20. Let m be (4\/n)\/((-8)\/6). Suppose 102*g + 2*f + 6 = 105*g, -9 = g + 3*f. Which is greater: m or g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355792.\nAnswer: 2, 37, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**4\/24 + o**2. Let f(p) = -7*p + 1. Suppose 3*x + 1 = -2. Calculate x*f(v) - 6*t(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -35\/6 (c) 35 (d) -5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence acc when three letters picked without replacement from rcgrccgccrgcrcggagac.\nAnswer: 14\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 - 1223?\nAnswer: -1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-5)\/(-2*4\/8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 20 + 4 = 0, 5*o = -4*z - 21. Let s(i) = i**2. Let u be s(o). Solve -4*g = 5 - u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-seven halves of a year?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -3, 2\/7, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8.5 (b) 3\/77 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713 is divided by 406?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*(n**(-1\/5)*n)\/n*n**(-20\/3) assuming n is positive.\nAnswer: n**(-88\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -15*d**2 - 4*d + 5. Let s be r(5). Let m be 209*(21\/(-28) + (-6)\/24). Let p = m - s. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24060169127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 7. Let r = p + 11. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w. Let a(p) = -4 + p - 2*p + 0*p - 4*p. Let l(s) = 36*s + 27. Let b(t) = 27*a(t) + 4*l(t). Calculate b(k(m)).\nAnswer: -18*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75164491 or -75164493?\nAnswer: -75164493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -52*l + 57*l + 39, -21 = 4*p - l for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q - 9. Suppose 4*w + u - 4*u = -153, -80 = 2*w + 2*u. Let h be (-26)\/w*9*-1. Determine i(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 313 + -62. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 + j**2 - 7*j**2 + 5 - 7*j - j**3. Let h be b(-7). Solve -2*n + h*r - 11 = 4, 0 = 4*n + 5*r - 45 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 5489*x**5\/10 - 5627*x**4\/6 + 9563*x. Find the third derivative of p(m) wrt m.\nAnswer: 65868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6, 4, 20, 72, 178, 356, 624, 1000?\n\"Answer: 3*x**3 - 9*x**2 + 4*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*y + 699 = 23*y + 1024. Solve -4*b + 2*i - 72 = -94, 0 = y*b + 4*i - 21 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x - 39*x - 21*w + 275 = -22*x, -63 = -x - 5*w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 363 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18684, -35906, -64608, -104790, -156452, -219594?\n\"Answer: -5740*r**2 - 2*r - 12942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 93.8956095.\nAnswer: 94.8956095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.69 - 111.31. Let j = 113.296 + p. Round j to two dps.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 - 120 + 10*m**3.\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 divided by 13?\nAnswer: -144\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-2) - 1\/1. Suppose 0 = -m + 6*m - 3*u - 117, 0 = -3*u + 3. Suppose -j - o*j = -m. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -2\/107, -1\/5, -36?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*q - 4. Let c(g) = -11*g - 3. Let x(m) = -23*m - 7. Let f(a) = -9*c(a) + 4*x(a). What is the remainder when 16 is divided by f(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 593293 is divided by 74160.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2831434748974 + 3.\nAnswer: 2831434748977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8978599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -4 (c) 1356399\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*b + 39 = 4*j, 19*j + 15*j + 3*b = 35*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57246 = -143*x - 1181*x - 92579 - 79855 for x.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-3\/8)\/b)\/b*b)\/b**(3\/8))\/((b\/b**1)\/b)**(-3\/22))\/(((b*b*(b\/(b\/b**(-1\/4)))\/b*b)\/b)**(25\/6)\/(b**(-5)\/b**(1\/7))) assuming b is positive.\nAnswer: b**(-6255\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 249 + 618. Suppose 175 = -d + 2*a + 1018, d = -4*a + c. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 27.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -74808 - -111746. List the prime factors of x.\nAnswer: 2, 11, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.29 times -0.5\nAnswer: -2.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 9*c**2 + 493*c - 1223. What is s(-57)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1301*d*p**3*x - 2*d*p**2*x + 114*p**2 - 4*x wrt p?\nAnswer: 7806*d*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1368)\/(-969)*(-578)\/51?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -541 + 556. Suppose 7 = -4*r + 19. What is the highest common factor of r and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -7*o - 98. Let i(r) = -r - 12. What is 49*i(u) - 6*s(u)?\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*x - 17*x**4 - 24*x**4 - 35*x**4 + 43429*x**3 + 3*x**2 - 5*x**2 - 43427*x**3 as i + b*x**3 + n*x**4 + l*x**2 + v*x and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 537*w**2 + 1118*w - 3361. What are the prime factors of k(3)?\nAnswer: 2, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8100 and 2484?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1495 - 1482. What is the second smallest value in -19, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 10 = -15, -x + 9 = -4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/((sqrt(10) - sqrt(90))*1).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*y + 798 - 80 = -47 for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 608*w**2 - 39756*w + 216432.\nAnswer: (w - 54)*(w - 6)*(w + 668)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*h**2 + 3512*h + 1344 = 0. Calculate h.\nAnswer: -8\/21, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -3, -54, -1.2, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 111, 274, 499, 786, 1135, 1546, 2019?\n\"Answer: 31*f**2 + 70*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -677*v**3 + 11 wrt v?\nAnswer: -2031*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -14, -38, -86, -170, -302, -494?\n\"Answer: -2*u**3 - 10*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 2*t - 239 = -4*f, -4*f - t + 229 = 0. Suppose 4*d + 1820 = 1896. Calculate the remainder when f is divided by d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(13) + -1 + 2.\nAnswer: 1 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -447 - -587. Does 70 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 31031387 from -0.082.\nAnswer: -31031387.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28\/75 + -1\/25. Let n = -209\/402 + 4\/201. Which is the nearest to g? (a) n (b) -4 (c) 0.33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11410 = -2580*i + 2254*i for i.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 2 + 0*o**2 - 3*o**2 - 5 - 2*o. Let r be c(-2). Is 1 + -12*r\/3 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 148999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 159354 and 858?\nAnswer: 1752894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 307696.469 rounded to the nearest 100?\nAnswer: 307700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-17)\/(-5) - (-2)\/(-5). Suppose -1 = -4*y + m. Let l be y\/(1 + 4\/(-5)). Solve -5*f - 4*h + 11 = 0, 2*f = -f + l*h + 14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 163230155 to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 8 + 6)*(-19 - 17*j + 19) - 2*j + 5*j - 5*j + (-5 + 5 - 1)*(-5*j + 2*j + 2*j).\nAnswer: -154*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51, 68, 109, 186, 311?\nAnswer: 496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 5*k - 1. Let v = 0 + 5. Suppose -v*q = -y - 27 + 6, -13 = -2*q + 5*y. What is a(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33414 - 3546 = -770*p for p.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mumum. What is prob of picking 2 u?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 22 = 2. Solve -3*z = -4 - j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66.9 + -83. Let t = 14.5 - 30.5. Let j = s - t. What is the closest to j in 2\/13, 5\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4))**(-2\/61) assuming s is positive.\nAnswer: s**(1\/122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - 3*c**2 - 15*c. Let u be h(6). What is the greatest common divisor of 468 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 153, 139, 97, 15, -119, -317?\n\"Answer: -2*k**3 - 2*k**2 + 6*k + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s - 1. Let z be 16 - (s + 0 + 2). Is 11 a factor of ((-66)\/z)\/((-2)\/10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4398 + 13192\/3. Which is the closest to -0.3? (a) -5.5 (b) j (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 10*b**2. Let s be f(-3). Suppose 3*k - s = k. What is the remainder when k is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqqq when four letters picked without replacement from qiiqqiqiiqii?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -102814 (base 12) in base 16?\nAnswer: -3de10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smjjljtsssyjmsl. What is prob of sequence sl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/45 in -5\/6, -1393, -2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 8. Let r(y) = y + 2. Determine r(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-5) - ((-49868)\/(-8905) - (-37)\/1).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4672567.3047 + 74.6\nAnswer: -4672492.7047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 9 + x - 1 - 8. Let m(a) = a - 2. Let b(n) = n - 1. Let l(o) = -2*b(o) + m(o). Give t(l(d)).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, e: 6, p: 1, z: 2, l: 1, b: 3}. Give prob of picking 1 p and 1 e.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7\/146109 or -1?\nAnswer: 7\/146109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2750854247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1373, -2817, -4261, -5705?\nAnswer: -7149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9 - 6) + -2 + 1. Suppose -2*d + 4*f - 3 + 7 = 0, 0 = -u*f. What is p in 0 - 4\/7*p - 4\/7*p**d = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - r - n - 203 = 0, 3*r - 2*n - 126 = 0. Let b = r + -23. Let q be (6\/(-18))\/(2\/180*-2). Which is greater: b or q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u + 0*u + 10*u - 3*u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*t + 40*t - 611202 = 0. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11989 or 11338?\nAnswer: 11989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 16 = -4*i, 2*i - 3*c = 3 + 5. Let m be 16\/(-66) + (-2 - i)\/(-18). What is the biggest value in -0.3, m, 0, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(300) + 1 + sqrt(300))**2 + -3 + 4.\nAnswer: 40*sqrt(3) + 1202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12*11\/(-6)*3. Let v = j + 181. List the prime factors of v.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30 - 52 - -72) + -25?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2122201102 (base 3) to base 13\nAnswer: 1aa4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 + 17*p - 150. Calculate the remainder when 446 is divided by s(-15).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2666 is divided by 179.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(-1 + 4 + sqrt(720) + -1*sqrt(720)) - 3*6*(-3 + sqrt(720) + 0)) + 5)**2.\nAnswer: -28080*sqrt(5) + 237505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2923*l - 46 = 2900*l. Factor -1\/2*g**l + 0*g + 0.\nAnswer: -g**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 648 and 405.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 426587\/72355 - -2\/2495. Is 7 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + 142 + (-116 - -9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8093.194 decades to years.\nAnswer: 80931.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 45 + 66. Suppose 30 = -3*b - t. Put b, -1, -2 in decreasing order.\nAnswer: -1, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2 - 2)*(-14*k + 0*k + k) + (3 - 6 + 2)*(k**2 - 2*k**2 + 0*k**2) + 3 - 2*k**2 - 3.\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**5\/13 + 4130*o**4\/13 + 952*o**3 + 8248*o**2\/13 = 0.\nAnswer: -2062, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*i + 155 - 155 as n*i + z and give n.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000086228 rounded to 6 dps?\nAnswer: -0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -d745 (base 15) in base 11?\nAnswer: -31218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -82977 = -82099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.63 + -0.07. Let d = v - -0.6. Let g = -3 - -2. Which is the nearest to d? (a) -0.2 (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + s**2 - s - 1. Let v(m) = -6*m**3 - 9*m**2 - m. Let f(a) = 5*o(a) + v(a). Let k = -262 - -258. Determine f(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17.3*-2\nAnswer: 34.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0. Suppose 0 = 3*a - h - 5. Suppose -4 = -g - a. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -5, -22, -1.7, 0.3, -1, 66, 0.011?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 394*b**5 - 59*b**2 - 2*b wrt b?\nAnswer: 23640*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -107 - -215\/2. What is l in 1\/4*l**5 + 1\/4*l - d*l**3 + 0*l**2 + 0*l**4 + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 - -34. Suppose 2*y - 3*p - 2308 = -0*y, 2*y - 2296 = -a*p. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -x - 2*x, 0 = -4*k - 4*x + 40. Suppose -k - 10 = -5*q. Let p(h) = -h**3 + 3*h**2 + 2. Let s be p(q). Solve s = -y - 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - (-1)\/(-9) - (3 - 4). Is w > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 319 (b) -4\/15 (c) 1\/9 (d) 3 (e) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -2\/3, -0.1, 5, 1.9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 18*h**2 + 10*h - 133. Let g = -480 - -714. What is the remainder when g is divided by v(18)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -39, -69, -109, -159, -219?\nAnswer: -289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, l: 1, c: 4, i: 1}. What is prob of picking 1 c and 2 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t - t + 691 + 687 + 0*t - 1372.\nAnswer: 3*t + 6","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + p = 5*b - 8, -3*b + 16 = -5*p. Solve -2*t - 6 = -4*t + n, 5*t - 16 = b*n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*795002\nAnswer: -3975010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 533024 is divided by 3601?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(136)*3)\/(sqrt(72) + sqrt(72)*1 - sqrt(72)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5802 = 15*p - 5907 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, f: 7, b: 3, i: 2}. Give prob of sequence bfb.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-13) - 509\/(-13). Let n = d - 116\/3. Let r = -0.7 + -0.3. Sort n, r, 0.5 in ascending order.\nAnswer: r, n, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 + 6*q**2 + 4*q - 2. Let k be f(-5). Suppose k*u + y - 95 = 0, 0*y - 2*y = -4*u + 130. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59\/2 - -407\/14. Let p = 4105 + -4104.5. Which is the nearest to -2\/7? (a) p (b) 2\/3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(28) + ((sqrt(280) + -1*sqrt(280))\/sqrt(10))**2 + -3.\nAnswer: -1 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**5\/12 + 1195*q**4\/12 + 285605*q**3\/6 + 552*q**2. Let d(l) = 0. Calculate l.\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 s when four letters picked without replacement from {k: 2, w: 2, b: 2, a: 8, s: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/3936 and 17\/410.\nAnswer: 19680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87 + 81. Sort 3\/4, 2\/5, 0.1, r in decreasing order.\nAnswer: 3\/4, 2\/5, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -65 - -59. Calculate the common denominator of (518\/(-756))\/(u\/(-9)) and -29\/14.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**2 - 595824*b - 1787445 = 0. Calculate b.\nAnswer: -198605, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 + -55. Solve 2*p = u*p - 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204263575.\nAnswer: 5, 23, 137, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 + 89 - 1065*b**2 - 846*b**2.\nAnswer: -1911*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 51?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -20380 + -51393\nAnswer: -71773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*g + 14*g - 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -64*z**2 - 283*z**2 + 347*z**2 - 2*z + 1167*z**3 + 4589 wrt z?\nAnswer: 3501*z**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2573772 = -6*q - 233772. What is q rounded to the nearest 10000?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1594 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*w - 11 + 11 + 1 - w - 1 + (-2*w - w + 6*w - 6*w + 2*w + 3*w + (0 + 1 - 2)*(-3*w - 2*w + 3*w) + w + 2*w - 2*w)*(8 + 0 - 3).\nAnswer: 32*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*((c**(-15\/8)*c)\/c*c)\/c*c**(1\/38)*c)\/(c**31\/c)**21)**(-10\/7) assuming c is positive.\nAnswer: c**(478685\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**5\/30 - 7*f**4\/24 - 2*f**3\/3 - f**2\/2 - f. Let r(q) be the first derivative of y(q). Give r(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 11 + 63. Suppose 5*o = -4*a - 16, -4*o - a + d = -7*o. Put 2, -3, o in descending order.\nAnswer: 2, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + l = 10, -1663*r = -1660*r + 5*l - 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(-4*x - 2*x + 4*x) - 21*x + 13*x + 40*x + x - 5*x + 2*x.\nAnswer: 32*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8139288 to the power of 1\/2, to the nearest integer?\nAnswer: 2853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 0.038.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 5*i + 5 = 0, -10*i = 4*q - 3*i - 6. Let x = -10 + 14. Suppose -2*y - 6 = -x*s, -2*y - 2*y + 3*s = -3. Solve -4*j + q = -y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -18252 + -874?\nAnswer: -19016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 38. What is the remainder when 22 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**4\/4 - 2*s**3\/3 - 5*s**2\/2 - 13*s + 15. Let h be n(6). Suppose -701 = -12*v - h. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1691, -6768, -15231, -27080?\nAnswer: -42315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 7:36 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 6. Let h be ((-8)\/28 - 4\/(-14))*1. Let m be a(h). Let q(f) = f**3 + 7*f**2 + 5*f + 2. What is q(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 36, 95, 154, 213?\n\"Answer: 59*s - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 5 + (8 - 12))*(-95)\/60.\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*g*g\/(g\/((g*g**(-2\/19)*g*g*g)\/g)*g)*g))**33 assuming g is positive.\nAnswer: g**(-3069\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*d - 301*d + 1000 = 0 for d.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 22*b + 43. Suppose -8 = 4*v, 4*o + v = -o + 13. Suppose 1 = -u - 3*c, -2*c = 5*u - o*u - 2. What is the third biggest value in -1, u, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2054687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 88*g*m**3 + 10470*g - 82*m**4 - 1 wrt m?\nAnswer: 264*g*m**2 - 328*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 11:43 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 7, -49*d + 54*d + k - 1448 = 0. Suppose -4*o + 2*q + 92 = 0, -3*o - 4*q - 34 = -5*o. What is the remainder when d is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.709578cm in micrometers?\nAnswer: 67095.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 75258 + 114?\nAnswer: 75373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -164 + 165.856. Let s = p - 0.266. What is s rounded to one dp?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1796073?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 7 + 26 = a, 3*p - 111 = -3*a. Suppose -5*l + 2*l = -a. Suppose -2*y = -3*m + 10, -3*y + l = -8*y + m. Which is greater: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 82. What are the prime factors of z?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*z - 32 = 0, 2*z - 10 = -5*i - 0*z. Suppose 0*f - i*f = -40. What is the highest common divisor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 14*p - 12. Let r be o(15). Suppose -4*t = -8, 3*y - r*t - 33 = 18. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-23 + (14 - (1 + 1)) - -6 - -8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + f - 3*f - 6 = 0, 0 = -4*a - f - 12. Let n(h) be the second derivative of 975*h**5\/2 - h. Let q be n(a). What is q rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 10977120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 69. Let l be (3 - 51\/(-5))*(12 + 5 + -12). Calculate the greatest common factor of z and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/53 + -441\/2173. Let v = f + 165\/287. Let c = -3.8 - 1.2. Put c, 3\/8, v in descending order.\nAnswer: v, 3\/8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.2447 + 4.2447. Which is the second smallest value? (a) -0.09 (b) -2\/39 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*q = 0. Suppose -4*p - 4 = -q. Let s be (-2 + p)*(2 - 6). Calculate the greatest common divisor of 30 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.523 and -0.101.\nAnswer: 0.052823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 14*p - 8. Let b(n) = -7*n + 4. Suppose 2*y + 24 - 10 = 0. Let s(d) = y*b(d) - 3*f(d). Differentiate s(r) wrt r.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -3, -0.1, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3 + 2*p**2 - 2*p - p**2 + p. Let d be b(3). Suppose -64 = -u - d*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/2, 2230 in decreasing order.\nAnswer: 2230, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 281 - 138. What is the greatest common divisor of 13 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/9*-4*(-27)\/(-18).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1200 + -1?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-108)\/(-30) + (-9)\/15. Suppose 5*j - p - 7 = 0. Solve -5*s - 18 = -j*f, -2*s + f = 4*f + 11 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.389 + -0.349. Put 3\/7, -2, -0.7, l in descending order.\nAnswer: 3\/7, l, -0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3\/7 + 579*z**2\/7 - 32625*z\/7 + 431433\/7.\nAnswer: -3*(z - 87)**2*(z - 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 3, -2.\nAnswer: -2, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 215 - 23784*r**2 + 138 - 353 in the form d + u*r + n*r**2 and give n.\nAnswer: -23784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1311b - -10?\nAnswer: -1310b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w - 6*w + 4*w - 4*w + w**2 - 2. Let b = 11 - 6. Determine f(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-64)\/16 + 25566245\/1. Let f = -86366241 + q. Round f to the nearest 1000000.\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*a = 3787 - 10189. Let h = 411 - a. Does 60 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 440621*w - 643294 wrt w?\nAnswer: 440621","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000104452 to 7 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 486833 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.94756 millennia in decades?\nAnswer: 1594.756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -440*-596.\nAnswer: 262240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 13 = -5*m, -2*m - 20 = -u - u. Let g be 4 - u\/((-18)\/4). List the prime factors of g\/5*(-280)\/(-8).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -39*z**4\/4 - 16*z**2 + 1. What is the second derivative of n(t) wrt t?\nAnswer: -234*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3582382 is divided by 1058.\nAnswer: 1052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - d + 1. Suppose u + 4 = -u. Let i(q) = -q**3. Calculate u*r(o) - i(o).\nAnswer: -o**3 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1631 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: Let x(k) = k - 6. Let y be x(5). Let b be (12\/14)\/(-30 - (-10425)\/350). Sort y, b, -16, -5 in descending order.\nAnswer: y, b, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 4. Let n be q(-9). Let t(k) = -k**3 + 4*k**2 + 8*k - 10. Let z be t(n). Solve 2*x - 3*h - 20 = -h, -z*h = 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 160, 4, -10.\nAnswer: -10, 4, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gbwbobgjgbug. What is prob of picking 1 u, 1 o, and 1 w?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38 and 825626.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 893 is divided by 241.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 3*r = -72. List the prime factors of r\/24 - (294\/(-8) + -2).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y + 44*y + 210 = 0 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-31)\/(-8))*(-10 - -13)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5266?\nAnswer: 2, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2987781 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 4*o - m + 25, 4*o = 3*m - 35. Let h = -32.8 - -1.8. Let v = 27 + h. What is the second biggest value in 5, v, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*(s*s**(-2\/3)*s)\/s))**(-23)*(s\/s**(-8))\/(s*s**11) assuming s is positive.\nAnswer: s**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.7, 1\/10, 0.0584, 8 in decreasing order.\nAnswer: 8, 1\/10, 0.0584, -5.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.3 + -0.3. Let h = 4.1 + 0.9. Let c = -1\/4 - -1\/20. Put c, v, h in decreasing order.\nAnswer: h, v, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (3 - 2) - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -446648300189 and -0.309.\nAnswer: -446648300189.309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**4\/7 - 7190*g**3\/7 - 430612*g**2 + 12664232*g - 90069840 = 0. Calculate g.\nAnswer: -3105, -518, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3159 or 3158?\nAnswer: 3159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/15 + 38*l**2\/15 + 232*l\/15 + 64\/5 = 0 for l.\nAnswer: -4, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jccj when four letters picked without replacement from {j: 2, c: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4*z**3 + 3378944*z**2 + 713585667536*z + 2854288607296 = 0.\nAnswer: -422366, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 - (-81935)\/49 - (-6)\/(-42)?\nAnswer: 2, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 867*f**2 + 67626*f + 7. Calculate i(-78).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15117, 25070, 35021, 44970, 54917, 64862, 74805?\nAnswer: 84746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 8:52 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -40, 1, -2, 55, 0.\nAnswer: -40, -7, -5, -2, 0, 1, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.3 - 4.7. Which is the smallest value? (a) 4\/5 (b) w (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -986563.19 rounded to the nearest 100?\nAnswer: -986600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 143375 and 217?\nAnswer: 1003625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (252\/175)\/(-18)*-5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 670830048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1642)\/21*15\/(-340). Let g = f + 6\/119. Let w = g - 4. Which is the nearest to -0.1? (a) w (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 6*j + 2. What is the units digit of m(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 66, 277, 646, 1173?\n\"Answer: 79*z**2 - 26*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g - 3. Let b(p) = p**2 - 7*p - 13. Let d be b(9). Suppose 0 = -d*s - 3*j + 53, -2*s = -0*s - 3*j - 17. Suppose -z + s = -3*z. Give y(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 70417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 11:58 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2656.554ug to kilograms.\nAnswer: 0.000002656554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14223906707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + 0.7. Let q be 114\/(-21) + 3 + 3. Which is the nearest to 0? (a) z (b) q (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*x**(-30))\/x)**(24\/7)*x*x**17*x*(x*x**(1\/68))\/x assuming x is positive.\nAnswer: x**(-38277\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 3*o - 10 - 15, 4 = -4*o - 4*r. Solve o*g = -2*l + 3*l + 7, 5 = 5*g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409739027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m + 0*m - 3*m)*(2 + 0 - 1)*(-468 - 371 + 50)*(3 - 3 + 2).\nAnswer: -3156*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 112?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4 = 2*d, 3*d - 7*p - 13 = -6*p. Suppose 0*x + 6\/5*x**3 + 2\/5*x**2 + 0 + 6\/5*x**d + 2\/5*x**5 = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 26*f + 121. Let v be n(20). Let c(i) = -22*i - 10. Let q(j) = 1. Give v*c(x) + 8*q(x).\nAnswer: -22*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/14808048 and -113\/42573138?\nAnswer: 340585104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - ((1 + 5 - -6) + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36\/17 + 214\/85. What is the biggest value in 1, j, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = 11*v - 10. Let w = 61\/7 + v. Put 0.2, 75, w in descending order.\nAnswer: 75, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, z: 2, l: 12}. What is prob of picking 1 d, 1 l, and 1 z?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3481, 3494, 3517, 3556, 3617, 3706, 3829, 3992?\n\"Answer: t**3 - t**2 + 9*t + 3472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*n = 26*n - 40*n + 828 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 148611, 297223, 445849, 594495, 743167, 891871, 1040613, 1189399?\n\"Answer: j**3 + j**2 + 148602*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -5*w - 10. Let b = -143 - -142.9. What is the closest to b in w, -6, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13991, -54884, -123031, -218426, -341063?\nAnswer: -490936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9306469116086 - -2.\nAnswer: -9306469116084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*k - 0*k + 3*i, 2*k + 3*i = 0. Solve 2*n - 4 + k = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3570217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -5*i**2 + 2*i + 2. Suppose 5*x - 126 = 864. Suppose 4*k = 126 + x. Let b(m) = 19*m - 2*m + 4*m + 33 + 12*m - k*m**2. Determine 2*b(d) - 33*g(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*i + i + 5*i)*(-94*i + 148*i + 251*i) + 2 - 3*i**2 - 2 to t*i + j*i**2 + f and give j.\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(153) + (sqrt(153) - (sqrt(153)*-3 + sqrt(153)))))\/sqrt(9).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 355, 352, 347, 340, 331, 320?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 239*y**2 - 2*y - 1. Let s be r(-1). Calculate the common denominator of -16\/11 and 14\/242*s\/(-140).\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -1, 2, -293, 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*m + 159 = -277*m + 1019 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -70706 >= -70705?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8801858287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 228385 = -2*g, 3*g - 5*m = -182768 + 525383. What is g rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 26 = -5*i, 2124*i - 16 = 4*t + 2128*i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -534.9 + 535. Let h = 0.39 + 0.11. Let o = 0 - h. Which is the nearest to f? (a) 0 (b) 0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xgxgqlxgaqgs. What is prob of picking 1 a and 2 g?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17011\/3 + 5670. What is the closest to 4 in 2, 0.1, -16, q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5019 or 5046?\nAnswer: 5019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - h**2 - 1. Let d(q) = -4*q**3 + q**2 - 2. Suppose -6*z - 3*p = -8*z + 9, -2*p = 6*z + 28. What is z*v(w) + d(w)?\nAnswer: -w**3 + 4*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6\/13 + 10\/13*q**2 - 14\/13*q - 2\/13*q**3 = 0. Calculate q.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-51*t**2 + 8*t**2 - 97*t**2 + (1 + t - 1)*(6*t - 3*t - t))*(2 - 3*t - 3*t + 4*t) to j*t**2 + n*t**3 + p + r*t and give n.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h - 6. Let w be p(4). Let o = 35 - w. Let j = -15 + o. Solve -5*y + 4*r - 2 = 0, -j = 7*y - 2*y + 2*r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.2 (b) 2\/13 (c) -228 (d) 0 (e) -63\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) + (sqrt(360) + (sqrt(360) - sqrt(360)*2) + sqrt(360))*5 + sqrt(360))\/sqrt(12))\/((sqrt(540)*-2)\/sqrt(6)).\nAnswer: -7*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54002*d**2 - 4854*d**3 - 54002*d**2.\nAnswer: -4854*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3118, -3117, -3116?\n\"Answer: a - 3119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1048*o + 293*o - 157*o in the form g*o + t and give g.\nAnswer: 1184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, p: 2}. Give prob of picking 1 n and 2 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/21 and 49\/27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 141, 213, 285, 357, 429?\nAnswer: 501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 335240 in increasing order.\nAnswer: -5, 3, 335240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -2*i + 3*f - 5, 0 = 4*i + 4*f + 68. Let c = 24 + i. What is the remainder when 29 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 2*i + 3. Let r be -1 - (2\/2 + 5). Let w = -4 - r. Calculate q(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 2*p - 6 - 7, -3*i + 3 = 0. Which is the second biggest value? (a) -1 (b) 0.05 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6300554430?\nAnswer: 2, 3, 5, 210018481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1366, 5657, 12792, 22771?\nAnswer: 35594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(80\/32))\/(1*1\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 10 = -0*o. Let r(u) = u**3 - 10*u**2 - u + 12. Let k be r(o). Suppose 4*l - 3*l - 10 = 0. What is the greatest common factor of l and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 8*z - 30 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f + f + 0*f)*(0*f + f + f)*(36*f + 4080*f**2 - 33*f + 62*f - 4160*f**2) in the form u*f**4 + w + a*f + s*f**2 + x*f**3 and give x.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 153559 to the power of 1\/2, to the nearest integer?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2\/3 (b) 106 (c) -3 (d) 1\/3 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x. Let a(j) = 14*j**2 + 10*j + 1. Let c(s) = s**2 + 2*s. Let i(n) = a(n) - 5*c(n). Determine i(q(k)).\nAnswer: 36*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 divided by -2?\nAnswer: 111\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + ((1 + 4)\/(-5))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66553 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 3*n - 4550, -2*n - 910 = -t - 6*n. Let f(d) = -9*d**2 - 38*d - 90. Let p be f(-5). Let z = t + p. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6366282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 17*a - 9*a)*(a + 3*a - 3*a) - 11 - 4*a**2 + 11.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -45. Let u(z) = 2*z**2 - 2*z - 2. Give u(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 3960.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1116 at most as big as 1511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 2*h**2 + 4. Suppose 11*z + 47 = 12*z. Calculate the smallest common multiple of t(2) and z.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18249531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*m + 14, 0 = -2*q + 2*m + 4 - 0. Suppose 5*k - 2*f + 24 = -4*f, -2 = 3*k - 5*f. Which is the second biggest value? (a) -3\/5 (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -375568, 5, -1\/6, 3, -28?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0135273 to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - 21*2\/(-3). Suppose 2*z - 21 = 5*a, z + x + 0 = -3*a. Let h be (24\/a)\/(-3)*-5. Let i(q) = -q**3 - 9*q**2 - 8*q. What is i(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71079 - -71073. Let q be 15\/10*16\/6. Suppose -b + q*f = 4*b + 21, 4*b - 4*f = -16. Is d at least b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*f - 1. Suppose -2 + 14 = 4*n. Sort f, n, -1 in decreasing order.\nAnswer: n, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 21 = -33 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -43083*w + 85551. Determine y(2).\nAnswer: -615","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 348, 5, 10, -1\/6, 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 893 - 424. Calculate the highest common divisor of g and 268.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/5 of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 1 = -2*u. Solve -3 = u*x + x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 11:45 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 1 + 13 = 0. Suppose -354 = -5*t - j*h, 0 = 3*t - 4*h - 101 - 105. Does 12 divide (-2)\/(-6) - t\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324348?\nAnswer: 2, 3, 151, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 6 - 7 + 2*s. What are the prime factors of x(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -53 - 10. Let d be 3\/q + 1\/(-3). Which is the biggest value? (a) d (b) 0.4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 863*b - 2649. Calculate i(3).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 5*r = 92 + 423, 5*j - 4*r - 809 = 0. Let z(k) = -k**3 + 5*k**2 + 8*k - 7. Let b be z(5). What is the highest common divisor of j and b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/((-36)\/1))\/(-12*(-2)\/84)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lqlllluqulukkqll. What is prob of picking 3 q and 1 u?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/315 and 31\/2240.\nAnswer: 20160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(3*(-2)\/(-9)). Suppose -2*r = -m*r + 24. Differentiate -3 + 1 - p**4 - p**4 + r with respect to p.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -58*f - 3*f - 114 - 923 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/2)\/(195\/156).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/7 or 54253?\nAnswer: 54253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (165\/33)\/((6\/4)\/3). Suppose -5*i = 5*q - s, -2*i - 2 = -0*i. Solve 3*k - 3 = 4*w, 4*k - w + 6 + q = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 8. Suppose k = 2*k - 1, j - 3*k = 7. Let y be g(j). Let z be y\/7 - 95\/(-35). Solve 5 = -c + z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1870 and 748.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*c - 36. Let q = -4.07 + -349.93. Let j = q - -350. What is the smallest value in c, 0, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2226, -2073, -1924, -1785, -1662, -1561, -1488, -1449?\n\"Answer: -q**3 + 4*q**2 + 148*q - 2377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 2*q + 417. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z + 4. Let g be o(6). Let h be g*(-24 - (0 + 2)). Suppose 3*v + 2*s + 78 = 7*v, 5*s - h = -3*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in two fifteenths of a millennium?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4 = -4*z - 0*k, 0 = 5*z - k - 13. Suppose j - 6 = -z*j. Suppose -j*g + 12 = -14. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, m: 1, e: 3, h: 2, l: 9, v: 1}. Give prob of picking 1 m and 1 b.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10194 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52360008.\nAnswer: 2, 3, 613, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97 or -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(1\/34)*q\/q**(-13) assuming q is positive.\nAnswer: q**(511\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/172, -3\/7, -12.3, 1\/8 in decreasing order.\nAnswer: 1\/8, 1\/172, -3\/7, -12.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 10214114?\nAnswer: -10214113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 + 12*q - 5. Let c be a(-7). Let k(o) = 109*o - 25. Let i(u) = -22*u + 5. Let s(g) = -11*i(g) - 2*k(g). Is s(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ek when two letters picked without replacement from kkxxwxwwxkewwwk?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/2*(1 - 16). Let m be 638\/(-33) + 19 + 44\/6. Suppose m*w - 4*w - q = 0. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.311 - -0.16465. What is z rounded to three decimal places?\nAnswer: -0.146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of -w**2\/2 + 684*w - 8444. Let i(c) = 16*c**2. Give i(a(b)).\nAnswer: 16*b**2 - 21888*b + 7485696","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 11:37 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of r**2 + 3 - 10*r**2 + 2*r**2 wrt r?\nAnswer: -14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 26 = -3*g + 38, 2*g - 27 - 19 = -3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9836 - 48957\/5. Which is greater: 46 or u?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d - 5*d + d + (5 - 1 - 3)*(-12*d - 4*d - 4*d).\nAnswer: -22*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 571777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -166418\/265 - -628. Which is bigger: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*o + o**2 + 11 - 4 + 19*o**4 - 2 + 3*o**3 - 4 in the form t + r*o + k*o**2 + s*o**3 + p*o**4 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.234 - 0.066. What is the nearest to 2\/7 in 17, 1\/4, w?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -5187 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50861 and 20272?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -22*h**2 - 4. Suppose -169 - 319 = 122*d. Let m(v) = -22*v**2 - 3. What is d*m(o) + 3*s(o)?\nAnswer: 22*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -8\/7, -2, -0.1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132835040.\nAnswer: 2, 5, 13, 63863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1157043725637935\/7645323 + -151340071. Let h = r - 453130648919\/122325168. Let i = h + 3702. What is the common denominator of -53\/4 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (34\/6 - 7)\/((-2)\/3). Solve -i*w = -6*w - 4, 3*a + 4*w - 8 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10002300 + 22?\nAnswer: 10002322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004886113 rounded to 6 dps?\nAnswer: -0.000489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 o, and 1 s when three letters picked without replacement from sxsooouosououoosgo.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 316*v**3 + 369*v**2 + 544016*v wrt v?\nAnswer: 1896*v + 738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 7*z**2. Let y(l) = 17*l + 5. Determine m(y(i)).\nAnswer: 2023*i**2 + 1190*i + 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55 - -219\/4. Which is the second smallest value? (a) 1\/4 (b) h (c) -2\/5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.99 + 0.09. Let z = -0.4 - o. Which is the third smallest value? (a) 0.1 (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1459288 to the power of 1\/2, to the nearest integer?\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 9*a + 8 = 7*a, 3*h + 3*a = -12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-40) + (-39)\/(-24). Suppose 0 = -3*r - 3, x*r - 6*r = -4*y + 28. Calculate the least common multiple of y and ((-6)\/3)\/2 + 1*25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -21*a + 218. Let b(h) = 230*h - 2380. Let x(w) = 3*b(w) + 32*c(w). Calculate x(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504764 is divided by 67.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3132 - -1300?\nAnswer: -1232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 270864 minus 28.245?\nAnswer: 270835.755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20656, 20747, 20812, 20845, 20840, 20791?\nAnswer: 20692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 10. List the prime factors of o(11).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24110 + 24110 + 385*x**3.\nAnswer: 385*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24 and 780?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 21221454?\nAnswer: 21221454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -41497*f - 931*f**3 - 2*f**2 + 1 - 3 + 41495*f as k*f**3 + t*f + y*f**2 + b and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 2*n + 2*n + 9, -3*d + 7 = -2*n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**4\/4 + 5123*d**3\/4 - 44511*d**2 - 45792*d = 0 for d.\nAnswer: -1, 0, 36, 5088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 5:13 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40214 or -33472?\nAnswer: -40214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 1580?\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 394 - 403 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 972 (base 10) to base 14.\nAnswer: 4d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1663014069426.000003238 + -1663014066896. Let l = o - 2530. Round l to 7 dps.\nAnswer: 0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 17*r + 4*r**3 - 22*r + 66*r - 16*r in the form t*r**2 + w*r**3 + b*r + y and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-12)\/(-252))\/((-4)\/(-18))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 0 + 0 - w. Let n be (-1)\/(-5) - (-1872)\/90. Let h(z) = -n*z + 111 - 111. What is u(h(s))?\nAnswer: 21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-432)\/45)\/((3\/(-10))\/1). What is the greatest common factor of w and 880?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 127, 255, 383, 511?\n\"Answer: 128*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a minute in seconds?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvvvzpzvv. Give prob of sequence zz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 64589580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 299500 to the nearest ten thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -33421*h - 1533. Let m be c(27). What is m rounded to the nearest 10000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1590, 3178, 4766?\nAnswer: 6354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(0 + 3\/(-21)). Let k = 5 + j. Let p be (68\/85)\/((-2)\/10). Sort 1, p, k in descending order.\nAnswer: 1, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l. Let h(o) = 9*o - 16*o + 38*o. Give h(q(i)).\nAnswer: 62*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -665920*p**2*t - 184*p**2 - 20936*p*t - 6742*p wrt p?\nAnswer: -1331840*t - 368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1509, 1516, 1527, 1542, 1561, 1584, 1611?\n\"Answer: 2*o**2 + o + 1506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2765*h. Let s(u) = 5*u - 7974. What is m(s(p))?\nAnswer: -13825*p + 22048110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*m + 21, -m = -0*m + 5*p - 5. Let c = -7 - m. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-2)*374\/(-3927)*14\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.935 + -0.93053. Round z to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 31329, 62439, 93549, 124659?\n\"Answer: 31110*c + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-18)*35\/(735\/5418)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(8 + -57))\/(4*(-1)\/42).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 45.91 + -40.9. Let v = 0.01 - f. Let s = 13 - 8. What is the smallest value in -0.3, v, s?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -251*k*v**2*y + 3*k - v**2*y + 4*v - 7*y wrt v.\nAnswer: -502*k*y - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0126289181 to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmrerxemxmjxxm. What is prob of picking 2 e and 1 j?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2, 2, -5, -4.228?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 158359909 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, y: 4, b: 3, r: 2}. What is prob of sequence yy?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 703 - -865. Calculate the greatest common factor of n and 98.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/940)\/5*4?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z + 1. Let b be k(-4). Let r(y) = 2*y**3 + 12*y**2 + 3*y + 22. Let w be r(-6). Find the second derivative of 10*g + 10*g**3 + b*g + w*g**3 wrt g.\nAnswer: 84*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 + 4*i - 12. Let c be z(-6). Let s be (c - 4)*(2 - 3). Solve -5*x = -s*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/3611 and 42\/78340645?\nAnswer: 78340645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2db33c (base 14) in base 4?\nAnswer: -12020003322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*v - 47*v - 963. Calculate the remainder when v is divided by 44.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (330\/4)\/((-18)\/(-24)) is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 323.22696732592\nAnswer: -318.22696732592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/12291 and 21\/139347164.\nAnswer: 418041492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 233*g - 1142. Let w be t(5). Solve -5*y + 4*c + 2 = 0, w*y = 21*y - 3*c + 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/9 - 736*b\/9 + 67712\/9.\nAnswer: 2*(b - 184)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2868951072?\nAnswer: 2, 3, 13, 2298839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*f - 25 = 0, -4*h - 20 = -8*h - 5*f. Suppose 5*m - 4510 + 1465 = -h*i, 0 = -2*m. What are the prime factors of i?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jnnnmjjnnnnjnjnnq.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23811 is divided by 189.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -1. Let s(j) = -5*j - 6. Determine -5*r(v) + s(v).\nAnswer: -5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1613785 is divided by 5489?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2679743 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 63710 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -18 + 190 + 338*x**2 - 166*x**2 + 5 - 169*x**2 in the form a + z*x**2 + t*x and give a.\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1520540 by -4.\nAnswer: 380135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43044 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 12272*r - 85889. Give v(7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(10 + (-35)\/3). Suppose 17 + 7 = 2*a. Solve -x*o - 27 = -a for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 0*p + 1 - p + 7 - p. Let i be g(6). Let u(l) = l**3 + 6*l**2 + 5*l - 3. Let j be u(-5). Which is smaller: j or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47\/40 - -11\/8. Suppose -291*g = -257*g. Factor n*s + 1\/5*s**2 + g.\nAnswer: s*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 12*o**2 + 4*o - 2. Let k(q) = q**2 + q. Determine a(s) - 4*k(s).\nAnswer: 8*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -46, 0.02, -4, -7063.7 in increasing order.\nAnswer: -7063.7, -46, -4, 0.02, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 176161.\nAnswer: 17616.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 147 + (-4 + 5 - -1). Let z = x - -45. Round z to the nearest ten.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.4 - -1. Which is the second smallest value? (a) r (b) -1\/2 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 916 divided by 205.\nAnswer: 916\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 1844\/3*r - 8*r**3 + 4\/3*r**5 + 232 + 1360\/3*r**2 - 232\/3*r**4 = 0?\nAnswer: -1, 3, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2. Let j(a) = -12*a**2 + 14*a**2 - 16*a**2. Determine v(j(b)).\nAnswer: -392*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 23520255 * -4\nAnswer: -94081020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -25\/3 (b) -0.2 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -2\/19, 5, 3, -152\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 311 and 17105.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145740 is divided by 4193.\nAnswer: 3178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 25*w = -4500. Which is smaller: 449 or w?\nAnswer: 449","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 441?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 13*w**2 + 16*w - 26. Let i be (-7680)\/720 + (-2)\/6. What is o(i)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*l = -21*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(1\/6))\/d*d*d\/(d**(3\/4)*d))**(5\/4)\/((d**3*((d*d**(2\/5))\/d)\/d)\/(d**(3\/4)\/d*d**(-5)\/d)) assuming d is positive.\nAnswer: d**(-2051\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 71 divided by -10403\nAnswer: -71\/10403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(2 + -2 - 1). Let k(p) = 4*p - 13. Let v = 3 + -1. Let r(m) = 3*m - 2*m - 2 - v. Calculate n*k(w) + 7*r(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 17823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 175166 divided by -3695\nAnswer: -175166\/3695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -5.98026.\nAnswer: -0.598026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -7. Calculate the remainder when j is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -3 - 0)*-1. Is q*(-6)\/9 - -220 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -95267292 by 228.\nAnswer: -417839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-428505)\/424)\/77*4\/(-14)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*k - 3 = 8*k, 4*q - 41 = 5*k. Suppose -5*h = 2*a + 27 - 188, q*h = -3*a + 224. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2+-3412437\nAnswer: -3412435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - t + 45. Suppose -2*m + 12*m - 60 = 0. Let l be b(m). Let u be (-40)\/(-25) - (-4)\/10. Solve u*w = 2*v + l - 1, w = 2*v + 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60314514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -386041*h - 6562688. Give u(-17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n - 10. Let s be g(8). Let h be (-10)\/16*-4*-2. Let v(j) = j - 3. Let i be v(2). Sort i, h, s in decreasing order.\nAnswer: s, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-148)\/259)\/(-2)*(-35)\/355.\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**6\/360 + 53*i**5\/180 - i**2 + 2*i + 1889. Factor w(l).\nAnswer: -l**2*(l - 53)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**3 - z**2 + 3*z + 2. Let g(u) = -u**2 + 3*u - 1. Let p(f) = -7*f**2 + 20*f - 6. Let k(v) = 13*g(v) - 2*p(v). Let a = 1 - 0. Give a*i(l) + k(l).\nAnswer: 3*l**3 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*c + 157 - 321 + 4*c + 157.\nAnswer: -44*c - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, n: 2, r: 2}. Give prob of sequence tr.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -3330000 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2822029 and 94577?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**5\/60 + q**4\/8 - q**3\/6 + 4*q**2. What is the smallest common multiple of -1*2\/4*-22 and d(-5)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -2*y - 1\/2*y**3 + 0 + 5\/2*y**2. What is the first derivative of w(m) wrt m?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**3 + 90*y**2 + 2*y**3 - 92*y**2 to the form o*y**2 + j*y + v*y**3 + r and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -379\/19203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4170, 16651, 37452, 66573?\n\"Answer: 4160*w**2 + w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.2 and -9414.\nAnswer: 20710.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/5 (b) -2 (c) 2 (d) -0.0161 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-1)*(15\/(-60)*76)\/((-5)\/(-3)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/433 and -29\/2?\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2299*8\nAnswer: 18392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -c6c?\nAnswer: c70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 127441 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eleven quarters of a kilogram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 3 (b) -2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z - 1 - 9*z - 1 + (z + 0*z - 2*z)*(1 + 2 - 1) + 9*z + 7*z + 18*z.\nAnswer: 20*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 14. Suppose j = -t*i + 3*j + 12994, 0 = 2*i + 4*j - 6522. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 6*v - 324 = 0. Let d be (-2)\/((-6)\/v*(-21)\/35). Let f be 111\/d - 4*(-3)\/(-30). Solve -f*y + 20 = -3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(408)*2)\/sqrt(12))\/(sqrt(18)*3)*4.\nAnswer: 8*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5*p - 15 = 0. Suppose 4*n - 22 = 2*h, p*n + 2*h = 6*n - 16. Solve o = -y, 0 = -0*y - y - 3*o - n for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(8) + 4 - 2*(-1*sqrt(50) + sqrt(50))**2.\nAnswer: 2*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/26287362 and -151\/32128998.\nAnswer: 289160982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 2*a + 18 = 0. Suppose -5*k + 3*v = -169, 4*k - v = -4 + 142. Suppose -7*r + k + 0 = 0. Solve r*b - a*b - 19 = 5*o, -11 = -b + 4*o for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1452627?\nAnswer: 3, 11, 67, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 - 7*i - 4*i**2 + i**2 + i**2.\nAnswer: -i*(i + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a millisecond in microseconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2992 = 51*p + 122*p + 99*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/5, 1\/4, -116\/7, -13.656?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*1 + 0 - (sqrt(1584) + 2)**2.\nAnswer: -1588 - 47*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -131631414 rounded to the nearest one million?\nAnswer: -132000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 1948 = -7*q. Suppose -130 + q = 21*b. What is the remainder when (-570)\/(-9) + (-2)\/6 is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11209.8 minus -2167?\nAnswer: 13376.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 1:46 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4351 and 198085?\nAnswer: 3763615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**2 + 0 + 0 + (2 - 2 - p)*(1 - 1 + p) - 5 + 6*p**2 + 7 + 0*p**2.\nAnswer: 3*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -668 (base 10) to base 13\nAnswer: -3c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2722789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170*y**2 + 132*y**2 - 455*y**2 + 109*y**2.\nAnswer: -44*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, y: 2, r: 1}. Give prob of sequence ry.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 2*n**2 - 2*n - 1. Let f be l(-1). Let x be f\/(-5) + 18\/5. Suppose x*v - 187 = -s, -1067 = -4*s + 4*v - 239. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*r - 11*r - 6. Suppose 3*t - t = 6, -4*t + 216 = r*v. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 1)*(43 + 127*t**3 - 129*t**3 - 41 + 523*t**2) as i + p*t + g*t**2 + j*t**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 55 + 820. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 982923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2132123 - -30303222?\nAnswer: 33102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + -6)\/(-3)*-12. Let b be (-135)\/252 + (-1)\/w. What is the fourth biggest value in -2, -1, -16, b?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -42 - -39. Let k(w) = 7*w - 2. Let j be k(3). Let u = s + j. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -37*i**9\/504 - i**6\/120 + 23*i**5\/60 + i**2 + 8*i. What is the third derivative of v(z) wrt z?\nAnswer: -4440*z**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 606552 and 5334.\nAnswer: 4245864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3394 in -1\/2, 9, -1\/4, 0.5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 15063 - 3\/2*(-138)\/207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7220 - 303. List the prime factors of p.\nAnswer: 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.572*-0.8.\nAnswer: 0.4576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/43))**(32\/7) assuming u is positive.\nAnswer: u**(64\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 10:28 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-1 + sqrt(2299)))**2 + sqrt(2299) + -1 + 3)*-2 - (sqrt(57) - (sqrt(57) - sqrt(513))*-2)\/((sqrt(3) - sqrt(12)\/sqrt(196)) + sqrt(3)).\nAnswer: -4604 + 307*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -170.896 rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (3 - 4) + -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((45\/10)\/9)*-2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39307, -39305, -39303, -39301, -39299?\nAnswer: -39297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 84201*r + 505167. What is z(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 12*g**3 + 34*g**2 - 34*g + 34. Let o(t) be the second derivative of -t**5\/20 - t**4\/4 + t**3\/2 - 3*t**2\/2 - 85*t. Determine 6*i(n) + 68*o(n).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 r when three letters picked without replacement from {n: 13, r: 2, l: 5}?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*c - 10. Suppose 0 = 5*z - 3*v + 12, 0*v - 5*v = 4*z - 20. Suppose -5*p + 13 = -0*w + w, z = p - 1. Solve -4 = c*y - n, -28 + w = -5*n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 6*s - 552. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-104)\/4732)\/((-4)\/14)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/12 - 11\/(-3). What is the first derivative of b**3 - g + b**3 - 1 wrt b?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - v = -13, 0 = -827*q + 831*q - 4*v + 32 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0. Let j = 0.31 - 0.082. Let m = -0.028 + j. Which is the biggest value? (a) -1\/3 (b) z (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11)\/(3 + -4) - (-4 - -2 - -6). Let v(b) = 5*b**3 + 4*b**2. Let t(z) = 9*z**3 + 7*z**2. Determine y*v(n) - 4*t(n).\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.14924899 rounded to 3 dps?\nAnswer: -2.149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 105971339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 83*k**2 - 187*k + 2027. Let m be a(81). Let 4\/7*d**m + 128\/7*d + 1024\/7 = 0. Calculate d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 PM and 7:07 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1386\/121*(-2)\/6. Are k and -3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -27. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 549 = -64*f - 57*f + 3453. What is the remainder when 832 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3825*o**3 + 3523*o**2 - 3*o wrt o.\nAnswer: -22950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 2, 3, -9, -2, 1 in descending order.\nAnswer: 3, 2, 1, -2, -9, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 9 = 3*n + s, -3*s = -6. Suppose 4*w - 42 = 2. Let r(k) = 9*k - 96. Let q be r(w). Solve -5*t + q*t + 1 = -3*g, 0 = 3*g - 4*t + n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -40 + 16 + 18*v - 3 wrt v?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -429 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**3 - 10*v**2 + 16*v - 9. Suppose 18*j + 11 - 29 = 0. Let i be j + 3\/(-5) - 644\/(-115). Let l be w(i). Round l to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 7 + 3. Let i be 3\/(-6) - g\/2. Let o be -4*(50\/(-8) + 0). Solve i*l = -3*l - o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = f + 6*n + 4, 2*f = -n - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -1\/5, -69, 4\/19 in descending order.\nAnswer: 4\/19, -1\/5, -1\/2, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 35099*d**2 - 13*d + 14. Let g be n(-19). What is g rounded to the nearest one hundred thousand?\nAnswer: 12700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.67 + -0.7. Let m = 4 + -3.97. Let g = m + k. What is the smallest value in g, 0.5, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -250*h + 2340. Give z(9).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1789.79 - -1694. Let z = -95 - m. Round z to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + 5*u + 152 - 173, 5*u = -5*c + 30 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 111*p - 49 wrt p?\nAnswer: 111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 80 (c) -0.2 (d) 1\/3 (e) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-5)\/(-10)*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -264445 rounded to the nearest ten thousand?\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 7*a**2 - 3*a + 14. Calculate s(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(3\/(-47)) - (-4)\/(-6). Let l be 140\/48 - i\/9. Which is the biggest value? (a) l (b) -0.02 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) 102 (b) 134 (c) 0 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43150643 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.4 + -4. Let c be ((-2)\/48)\/(-17 + (-1742)\/(-104)). What is the nearest to 2 in 0.1, c, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/168 and 127\/553224?\nAnswer: 553224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 806886?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -15*g - 89. Let n be b(-6). Is 830 at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**2 - 1148*z + z**2 - 6*z**2 + 386*z - 4*z**2.\nAnswer: -2*z**2 - 762*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8*442\nAnswer: -3536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k - 87 = 6*k - 16*k - 4*b, -39 = 19*k + b for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - n = 3*y - 86, 297*y - 10 = 298*y - 2*n for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -52823, -52825, -52827, -52829?\n\"Answer: -2*u - 52821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396 = 1012*w - 1030*w for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 3. Let a(f) = -5 + 1 + 0*f - 7 - 4*f. Let g(n) = 6*a(n) + 22*j(n). Let s(z) = -2*z**2 + 3*z**2 + 2 - 2. Calculate s(g(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, x: 4, n: 1, v: 1, r: 7}. Give prob of sequence sxsn.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8936700*g**2 + 975*g + 465.\nAnswer: -17873400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*s = 36. Suppose -5*g - s = 4*w + 26, -w - 14 = 2*g. Let c = 3 + w. Is -2 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.67 - 0.07. Let o = i + -0.1. Let h = -0.63 + 0.13. Which is the nearest to 0.1? (a) -0.4 (b) o (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15388740.\nAnswer: 2, 3, 5, 17, 47, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1049992728?\nAnswer: 2, 3, 587, 74531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 10) to base 8.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - v - 50. Let p be 1\/1 - 15\/(-3). Suppose 2*b + 108 = i, -i + b - p*b = -115. Calculate the highest common divisor of i and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 13*r - 705. What is the greatest common factor of 188 and r?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -218? (a) 169351 (b) -0.5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20399639*g**3 + 14*g**2 + g - 275941 wrt g?\nAnswer: 122397834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -5\/24*h**4 - 1\/6*h**3 + 19*h + 0 + 0*h**2 + 0*h**5 + 1\/12*h**6 + 1\/42*h**7. Solve j(b) = 0 for b.\nAnswer: -2, -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 1 - 2*j - 1)*(3*j**3 + 4*j**3 - 4*j**3) - 5 + 17*j**4 + 5.\nAnswer: 14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 9:28 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2632)\/(-42))\/(2\/51000). What is p rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3151 - 2101. List the prime factors of z.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2512342 and -2512344 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 15) in base 16?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 197 - 131. What are the prime factors of 11\/(r\/16)*(-1812)\/(-8)?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 5 - 17. Suppose -g*k + 62 = 4*f - 2*f, -2*f + 2 = 0. Suppose -k = 3*p - w - 129, -4*w = p - 58. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-96) + (-69)\/24 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*p**3*w**3 - 2*p**3*w**2 + 2932*p**3*w + 320*p*w**3 - 2*w**3 wrt w?\nAnswer: 30*p**3 + 1920*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.5358 + 1.0358. Which is the smallest value? (a) -7 (b) g (c) 18 (d) 0 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10758164 a multiple of 479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -171*v**3 + 126*v**2 - 54*v + 27. Let t(z) = z**2 + 2*z - 1. Let h(p) = -k(p) - 27*t(p). Find the third derivative of h(c) wrt c.\nAnswer: 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**2\/9 - 1976*t - 4392648 = 0.\nAnswer: -4446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 418329296 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 394445980*b*t**2 + 164*b*t - 4*t + 5813 wrt t.\nAnswer: 788891960*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.1 + -0.1. Let n = 748.7 + -750.7. What is the nearest to n in 0.5, 5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 283.4757 to 0 decimal places.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -719?\nAnswer: 3\/719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrvryvry. What is prob of sequence ryvr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -30132201 (base 4) in base 11?\nAnswer: -3543a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3 = 1. Let n(z) be the third derivative of -7*z**6\/60 + z**4\/12 + z**3\/6 + z**2 + 5. Is n(f) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30397404?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -16767474 and 0.0744?\nAnswer: 16767474.0744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2630?\nAnswer: 2, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, c: 2, j: 11}. What is prob of sequence uu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**3\/6 + 5*h**2 - 2*h. Let n be d(-8). What is the second derivative of 3*t**2 - 2*t - 3*t**2 - n*t**5 wrt t?\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1071 is divided by 179.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 3526144\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/756 and -3 + (2\/(720\/(-454)))\/((-266)\/627).\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**4 - 4*f**4 + 3*f**4)*(0 + 0 - f) - 77*f - 11 + 77*f + 2*f**5.\nAnswer: -f**5 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus -12087?\nAnswer: -12086.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*v + 376, -2*u = 5*v - 199 - 175. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - i. Let f be -1 + -1 - (-16 - -12). Let l(u) = u**2 - 6*u**2 + 3*u - u + f*u**2. Give -l(r) - 2*q(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 0.1, -7, 0.04, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 12:27 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, h: 2}. What is prob of sequence yhh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10002212 (base 3) to base 8\nAnswer: 4330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 304 divided by -164.\nAnswer: -76\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 3444 divide 207759300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 3)*(-g - 2 + 2) - 121*g + 246*g - 57*g + 0 + 0 - 2*g.\nAnswer: 65*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7b37a7 - 5?\nAnswer: -7b37ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.6305614 rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -2*n**3\/3 + 23*n**2 + 1472. Let f(z) = 3*z**2. Calculate x(f(k)).\nAnswer: -18*k**4 + 138*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -32547\/23 and -0.609 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/12*24\/5. Let t(q) = u*q + 6*q - 20*q. Let v(p) = -4*p. Determine t(v(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - -375. Is y a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 2 - (-13 + 16 - -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -2. Is ((-4)\/(-16)*-694)\/(f\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7*q + 3. Let r(x) = -x - 1. Let d(z) = -l(z) + 5*r(z). Suppose m - 28 = -3*m. What is the units digit of d(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10, 20, 38, 64?\n\"Answer: 4*x**2 - 2*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 22556 and 22550 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 10*i**2 + 29*i - 8. Let s(r) = -3*r**2 + r - 1. Let w(v) = -15*v**2 - 6*v - 2. Let a(p) = 4*s(p) - w(p). Let q(f) = 7*a(f) - 2*j(f). Give q(-5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -63, 5, -2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = -7*d + 4*d - 16, -2*d - 8 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 138584.8621 to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.107064 micrometers in meters?\nAnswer: 0.000002107064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 794.5 from -82.\nAnswer: -876.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(28) - sqrt(112)))\/(-3*sqrt(4)*-2)*-1*-5*-5.\nAnswer: 50*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*k = -77, -4*k - 17 = -l - 3. Let v be (-1)\/1*-1 - 184. Let m = -130 - v. Calculate the remainder when m is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3460 - -17727?\nAnswer: 23407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*sqrt(242))**2 - (sqrt(242) - 3*sqrt(242)*-5) - 5*(-3*(1 + sqrt(648)))**2.\nAnswer: -28479 - 1796*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.4, 212, 0.5, 1\/728, 2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -483138 bigger than -305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**4)\/((r\/((r**(6\/11)\/r)\/r))\/r))**(-21)\/((r\/r**(-2\/5))**(-2\/87)*(r**(-1\/3))**(-23)) assuming r is positive.\nAnswer: r**(137028\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (260\/1872)\/(120\/(-64))?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10975 + 12097 = 33*o for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/3521 and 19\/21?\nAnswer: 10563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 - 2505*i**2 - 346920*i - 8075920.\nAnswer: -5*(i + 29)*(i + 236)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -46902 (base 10) in base 2?\nAnswer: -1011011100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*p - 4*p. Suppose 4*i - 1533 = 3*t, -p*i = 3*t - 5*i + 1527. Is t\/(-6) + 2\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooaoaooooo. Give prob of sequence ao.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -7*q**3 + 7*q**2 + 7*q + 2. Let l(o) = -6*o**3 + 6*o**2 + 8*o + 2. Determine -4*b(t) + 5*l(t).\nAnswer: -2*t**3 + 2*t**2 + 12*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 268 = 3*v + 2*v, -y - 2*v + 67 = 0. Find the second derivative of 67*q - 140*q + y*q - 16*q**5 wrt q.\nAnswer: -320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*((0 + sqrt(6292) - sqrt(52)) + sqrt(52)) - ((-1 + sqrt(468))*5)**2).\nAnswer: -11721 + 344*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-9)*6\/(-9). Let y = 39\/70 - -1\/70. Which is the closest to -1? (a) z (b) y (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 17*b - 17. Let p be (-3)\/(-18) + (1628\/(-24))\/(-37). Let o(r) = -4*r + 4. Determine p*w(h) + 9*o(h).\nAnswer: -2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2247524 and 1548.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -270*k. Let m(b) = -268*b. Let g(f) = 4*m(f) - 3*w(f). Let p(q) = -2*q**2. What is g(p(r))?\nAnswer: 524*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 214 - (270 - 51) - ((0 - (2 - 44)) + 1).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 f when three letters picked without replacement from svswfbfsvsffsbs?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - -5)*(-4 - (2 + -3)). Suppose -5*g + s*g - 356 = -3*t, 3*g - 15 = 0. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*q + 24452 - 204343, 0 = 3*q - 6. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1612, 6300, 14052, 24868, 38748?\n\"Answer: 1532*t**2 + 92*t - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, g: 1, t: 1, m: 1}. Give prob of sequence dm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**4\/w)*w)**(2\/89)\/(w**(-6\/5)*w*w**(2\/3)) assuming w is positive.\nAnswer: w**(-653\/1335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 315 = -3*t, 0*t - 520 = -5*h - 4*t. Suppose -3*n + 8*n = h. Suppose -3*c - c - n = 0. Sort 0, 4, c.\nAnswer: c, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -14*d**2 - 7*d - 1149. What is g(-2)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -22. Let a(t) = 3*t + 7. Let i be a(g). Let n = 9 - i. Solve -3*c = 8 - n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -0.4, 16, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19309 - -19303. What is the second smallest value in -0.3, p, -2\/3, 2\/31, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35 and 288.\nAnswer: -10080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -23 - (705 - 670)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2374290 and 2237580.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 b when two letters picked without replacement from sdfbsf?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 15\/(-22) + 74\/407. Let y = -12 + 13. Which is the nearest to y? (a) -0.05 (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 + 2*n + 5. Let c be (-8)\/(-20) - (-27)\/(-5). Calculate the smallest common multiple of (-6)\/6*(1 + -10) + -6 and y(c).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**4 + 6288878*c**3 + 4943770323360*c**2 + 34606084109184*c = 0.\nAnswer: -1572216, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14593*t**2 + 1813 wrt t?\nAnswer: 29186*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + -1 - 1*(-35 + (2 - -28)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1281 - 1273.79. Let p = x - 7.2100669. Round p to six dps.\nAnswer: -0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 19*a + 30. Let i(z) = -z**2 + 5*z - 2. Let y be i(4). Suppose 0 = 3*s + 12, -3*w - y*s + 142 = a*s. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34040988203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5.370485 years?\nAnswer: 0.005370485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 36 = 5*x. Let d = 20 + x. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in five sixths of a minute?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 28257017 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: Suppose -525759 = -40*a - 60*a - 83*a. List the prime factors of a.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307633?\nAnswer: 307633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 + 0*b**3 + 2*b**4)*(-46 - 10 + 22 + (3 + 2 - 2)*(-2 + 2 - 2))*((4 - 3 - 2)*(0 - 1 - 2) - 3 - 2 + 1).\nAnswer: 80*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-56)\/(-30))\/28)\/(2\/(-6)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.26 - 11.74. Let n = -10.63 - -10.23. Put -3\/4, n, y in ascending order.\nAnswer: y, -3\/4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 228068 by 1702.\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 299643035 to the nearest integer?\nAnswer: 17310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 39)\/((110\/45)\/(-11)). Let t be 1230\/l + (-8 - -1). What is the fourth biggest value in -1, 48, -0.4, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1222 is divided by 205.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cod when three letters picked without replacement from codroow?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(3\/(-2 - 1)). Sort 0.1, 3\/7, o in ascending order.\nAnswer: 0.1, 3\/7, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (45 + 57 - 19 + 10)*(-2 - 1 - 1)*(4*k**4 + 3*k**4 - 4*k**4) as w + l*k + a*k**3 + o*k**4 + c*k**2 and give o.\nAnswer: -1116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1721 (b) 6\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18281240?\nAnswer: 2, 5, 269, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 17388*u + 10595904.\nAnswer: 3*(u - 5104)*(u - 692)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 2*y**2 + 3*y**2)*(-8*y**2 + 22*y - 17*y**2 + 23*y**2).\nAnswer: 2*y**4 - 22*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -60*(-3*2\/(-18) + -1). What is the greatest common factor of o and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of a**5\/20 - a**4\/2 - a**3\/2 - 3*a**2 + 5*a - 322. Give i(6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)\/sqrt(6))\/sqrt(2))\/(-5*sqrt(294)).\nAnswer: -sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26147*b - 13 = -r + 26149*b, 0 = r - 4*b - 19 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1076 (base 10) to base 15\nAnswer: -4bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a*a\/((((a\/((a\/(a\/(a\/a**1)))\/a*a))\/a)\/a)\/a)*a))\/a*a)\/a)**(-45))**(-19) assuming a is positive.\nAnswer: a**(-4275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.02 - -5.02. Let q = x - 3. Let m = 25.6086 + -27.6086. Which is the third smallest value? (a) m (b) 5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 76 - 71 - (1 + 4). Solve -t - 5*b - 2 = 0, -b - 6 = 3*t - y*b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 1 = -3*d, -f = 4*f - 10. Let l be (d - (-16)\/3) + -1. Put l, 4, 2\/13 in descending order.\nAnswer: 4, l, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 5:19 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.43537 rounded to 1 dp?\nAnswer: 11.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p + 0*p)*(0 + p + 0) - 135*p**2 + 74*p**2 - 181*p**2 - 463*p**2 - 53*p**2.\nAnswer: -756*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.9 * -36.66.\nAnswer: 252.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394*j + 6 - 6.\nAnswer: -394*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1855\/8 + 1907\/24. Let i = 73792\/237 - a. Is -1 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/((14\/21)\/2). Let m = i + 65. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 3, -3\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 + -3?\nAnswer: c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-80))\/(0 + 20). Is 0 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 10:56 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 3 - 15. Let t(h) = 5*h - 16. Let f be t(l). Let o(j) = -8*j**3 - j**2 + j + 2. Calculate the remainder when 29 is divided by o(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/10*(-2550)\/(-340))\/(6\/8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 636638 is divided by 999?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 3 + (-1 + 2 - 3)*(0 + 0 + 1))*(-9*i**2 - 5*i + 4*i**2 + 4*i**2) as n + k*i + y*i**2 and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 8*j**2 - 8*j - 5. Let v be x(-7). Let r = 38276\/31 - 1234. Are v and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 140 in 0.15, 14.8, 1, 5, -2?\nAnswer: 14.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - 2?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -0.1 (c) -15.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a kilogram in grams?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -457472, -915075, -1372678, -1830281?\n\"Answer: -457603*m + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2210 divided by 26?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 47, -1, -3, 6 in ascending order.\nAnswer: -5, -3, -1, 6, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7685, -7627, -7567, -7505, -7441, -7375?\n\"Answer: w**2 + 55*w - 7741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 2. Solve 4*j + 4 = s*b, -2*b - 2 = j - 2*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -651*g**2 + 128*g - 303*g + 2177*g**2 + 154*g. Let c be s(-4). What is c rounded to the nearest one thousand?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddduuufaduufa. Give prob of picking 2 u and 1 a.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17365.\nAnswer: 5, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 9:10 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43 and 387?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2714 (base 8) to base 5.\nAnswer: -21414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*s + 65*s = 379171. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2847 + -b5?\nAnswer: -28fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14\/(-28))\/((-2)\/84). Let b be h\/3 + -1 - 1. Let j(q) = q**2 + 4*q + 4. Let u be j(-4). Solve 0 = u*m - t + 12, 0 = b*m + 5*t - 13 + 3 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 3*s - 4*x - 7, -3*x - 9 = 3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 7*f. Let s(g) = -2*g**2 + 17*g + 4. Let k(m) = 3*m**2 - 18*m - 5. Let d(x) = 4*k(x) + 5*s(x). Calculate -3*d(u) + 5*w(u).\nAnswer: -u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53612.\nAnswer: 2, 13, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.23 in -1\/24, -0.02, -18, -52?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100101 + 1111100?\nAnswer: 1010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = -5*l - k, -k + 20 = -4*l - 97. Suppose -2*q - 2*q - 120 = 0. Which is smaller: l or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*g - 1496 - 1149, -g - 5*r - 650 = 0. Let l be (-33)\/(-44) - g\/4. Suppose 2*j - 3*z = -3*j + l, -3*z = -4*j + 136. List the prime factors of j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 5*k + 38, 14*k = 18*k - 8. Solve -z = 1055*n - 1061*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-4359.\nAnswer: -8718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -1. Suppose 4*r - 3 + 5 = -y, r - 4*y - q = 0. Suppose u + 2*u - 5*m - 2 = r, m - 2 = 0. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/120 - (-48)\/256*4\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 0*v + 7*v**3 - 2*v**2 + 3*v**2 + 6*v - 4*v - 5*v. Let i(t) = 13*t**3 + 3*t**2 - 7*t. Determine 3*i(n) - 7*q(n).\nAnswer: -10*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56237 or -1068507\/19?\nAnswer: -1068507\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v + 6. Let u(t) = -4*t + 24. Let o(m) = 10*m - 64. Let h(w) = -3*o(w) - 8*u(w). Give h(q(z)).\nAnswer: 12*z + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 0.1173.\nAnswer: -1.8827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of -g**4\/12 + 9*g**2 + 57*g + 27. Let x(n) be the first derivative of s(n). Let z = 2 + -2. Determine x(z).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8\/5 (b) 28 (c) 2 (d) 0.5 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 1280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 0 - 5)\/(-2). Suppose q*f + 53 = 35. Let t(m) = -m**3 - 8*m**2 + 9*m - 3. Determine t(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1230*v**4 - 8395*v + 7347*v**5 - 7353*v**5 - 182*v**4 wrt v?\nAnswer: -120*v**3 + 12576*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 w, and 1 v when four letters picked without replacement from uawuurqvwuawvr?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/5)*b\/(b\/(b*b**(-2\/9))))\/((((b*b**(2\/5))\/b*b)\/b)\/b)**18 assuming b is positive.\nAnswer: b**(503\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y. Suppose 62*d - 53 = 71. Let v(w) be the third derivative of 3\/10*w**5 + 0*w - 5*w**d + 0 + 0*w**3 + 0*w**4. Determine x(v(t)).\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5901, -23491, -52719, -93597, -146137, -210351, -286251?\nAnswer: -373849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 + 4*n**2 - 5*n**2 + 0*n**2 + 4*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 35. Let a = 25 + g. What are the prime factors of (-375)\/a + (-1 - -2)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/294 and -43\/294.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9.73 + -9.7298506. What is k rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-4)*(-8)\/(-42). Let c = -3162 - -3161. Is k equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3661 + 3731 + 0 + (-21 - -2)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*f - 9 + 6 = 0, 0 = d - 5*f - 19. Solve i + d - 5 = 2*h, 5*h - 2*i + 2 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -172*g - 3. What is the hundreds digit of i(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 3 - 1\/3*r**3 - 1\/2*r**2 + 6*r. What is p(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6898386 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -108, 5 in ascending order.\nAnswer: -108, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 12072 = 2*d, 4*d = -j + 4*j + 24154. Suppose -5*h + d = 5*h. What are the prime factors of h?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7*v**3 - 18*v**2 + 153*v + 1312. Let k be m(-10). What is the highest common divisor of k and 742?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2696.01613 + 2696. Let p = 0.01 + c. Round p to four decimal places.\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2466313021 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -114 - -114. Which is bigger: 12 or p?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93959 is divided by 676?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -3. Let u = -235 + 231. What is the smallest value in u, 0.4, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 24883 - 7691 = 0. Let s = -38614\/9 - k. What is the common denominator of 97\/2 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/4, -3, 0.1, -10?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59337.\nAnswer: 3, 19, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29*j**2 - 32*j - 3.\nAnswer: -(j + 1)*(29*j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -665, -671, -679, -689?\n\"Answer: -p**2 - 3*p - 661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-239190)\/105927)\/((-1)\/31).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 3507.\nAnswer: 17535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29.19 + -33.19. Which is the fifth biggest value? (a) 1 (b) -1 (c) 1\/8 (d) w (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37748014?\nAnswer: 2, 23, 820609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74*70\/9065*35.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.43, 2\/15, -0.4, 4 in descending order.\nAnswer: 4, 2\/15, -0.4, -0.43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 32, 56, 90, 134?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-1)\/4)\/(6\/8 - (-76)\/16)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 43803351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (0 + (5 - 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 216738341 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -948*((-21)\/9 + 2). Let s = 386 - b. What is the highest common factor of s and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(-15)*12\/(-8))\/(30\/(-33)).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.323 + -74.323. Sort 4, a, -1\/3, 1\/7, -2\/3 in descending order.\nAnswer: 4, 1\/7, -1\/3, -2\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68415569 to the nearest integer?\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825062467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 75243 + -6847391\/91. Let f = -36\/13 - u. Let h = -2.97 - 0.03. What is the closest to f in -2\/15, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v + v**2 - 16 - 15 + v**3 + 3*v**4 + 53 - 20 as h + p*v + b*v**2 + r*v**4 + d*v**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-670)\/(-1920) - (9 - 4)\/15. Let h = 1 + 3. Let w be -3 + h + 6\/(-3). Which is greater: i or w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -786 - -765 - (-1 - (-139)\/(-7)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvyytvttttvttytyvt. What is prob of picking 1 y and 2 t?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 165137 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 12:08 AM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009366156781 rounded to seven decimal places?\nAnswer: -0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 263, 555, 847, 1139?\nAnswer: 1431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 515461.6 weeks to seconds.\nAnswer: 311751175680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 2*k + 0*k)*(3*k - 3*k - 3*k**2)*(2 - 2*k - 2 + (-k - 2 + 2)*(2 - 7 + 1)).\nAnswer: -6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*r = 0. Suppose r = -4*s - 0*s - 8. Let h be -3*5\/(195\/s). Which is the closest to 2\/3? (a) h (b) 1\/6 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*(3*-1*sqrt(864) - sqrt(864))\/((-1*sqrt(84))\/sqrt(7)) + 2).\nAnswer: -576*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 - 5.3.\nAnswer: -101.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 0 - -15) + (-105 - (-28 + 4)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -114, -233, -362, -507, -674, -869?\nAnswer: -1098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.94 - -14.926042. Let o = -0.014 - x. What is o rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 3 = -38 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -17*o**2 + 30*o + 2. Let a(x) = 3*x**2 - 6*x. Let j(p) = 11*a(p) + 2*n(p). Determine j(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1166 = -2*d + 2*z, 0*d = 3*d + 4*z - 1784. What is d rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/2)*b*b)\/b**(-2)*(b**0)**8 assuming b is positive.\nAnswer: b**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (37 + -28 + 9)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 4463527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 4\/3 (c) -9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -311\/395 - 1\/79. Suppose -2*v - 4*z - 1 = 7, 0 = -2*v + 5*z + 19. Put -4\/7, k, v in ascending order.\nAnswer: k, -4\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*c + 208 = -1142 + 58 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 412*c**2 - 109*c**2 - 132*c**2 + (2*c - c - 2*c)*(-12*c + 4*c + 4*c).\nAnswer: 175*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 - 26941*v + 53855*v - 26937*v - 6 in the form d + j*v**2 + o*v and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 24*g + 3. What is d(-5)?\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 8. Let o(s) = 13*s - 5. Let i = -43 + 44. Let r be o(i). What is f(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of t**6\/360 + 7*t**3 + 2. Let r(i) be the third derivative of g(i). Let c(u) = 8*u - 12. Calculate c(r(z)).\nAnswer: 8*z**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 31 (b) 0.03 (c) 0 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*v**2 + 1)*((2 - 1 + 0)*(3 - 4 - 1) + 13 - 1 + 4).\nAnswer: -42*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x. Let r(v) = 7*v - 5. Let h(k) = 3*k - 2. Let p = -21 - -6. Let j(m) = p*h(m) + 6*r(m). What is l(j(d))?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*y = -72. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lg when two letters picked without replacement from {i: 2, g: 3, d: 2, l: 8, m: 5}?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4*t**2 - 75*t + 9. Let j(q) = -23*q**2 + 425*q - 51. Let l(x) = -34*b(x) - 6*j(x). Let z(d) = -478*d. Calculate l(z(g)).\nAnswer: 456968*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 15820.\nAnswer: -4746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6696 and 1302.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-329) - (-34047)\/(-49491)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4493.91 + -4551. Let q = x - -1.09. Let s = 55.9943 + q. Round s to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-92)\/(-28) + (-5)\/(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3 = 0, -8*g + 4*s - 302 = -6*g. Let v = g - -157. Sort v, -4, -5, -1 in ascending order.\nAnswer: -5, -4, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/936 and 43\/1188?\nAnswer: 30888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -125.34, -2, 0.1 in descending order.\nAnswer: 0.1, -2, -125.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 5*z**2 - 2*z + 3. Suppose -2*s = 3*q + 2 + 9, 0 = s + 3*q + 10. Let p(k) = 5*k**3 + 2*k**2 + 2*k + 1. Let j be p(s). What is n(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000404099 to 7 decimal places.\nAnswer: 0.0000404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cce when three letters picked without replacement from oecdqco?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -7*q - 9. Let t(g) = -1. Let r(v) = -4*v - 3. Let c(i) = -r(i) - 2*t(i). Give 5*c(x) + 3*d(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 10571*p**2 + 21119*p**2 - 10558*p**2 + 3 + 3.\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -28 + (-23 - -35) + -27?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 81.6244 from -0.4.\nAnswer: -82.0244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 5*r - 48 = -25, 2*t - r + 13 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -113406 (base 13) to base 16\nAnswer: -63657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 611.8488 millilitres?\nAnswer: 0.6118488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*l + 28*l. Suppose l = -7*r + r + 144. Let v = r + -18. Solve 1 - v = -4*s + 3*q, 5 = 5*q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5094193 + -5093057.8468. Let f = v - 1135.65319945. Let s = f - -0.5. Round s to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59\/295*10\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 5*r = -16, -11 - 9 = 5*d + 5*r for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/20 and 77\/12213176.\nAnswer: 61065880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 2238.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50350 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1621427 minus -103382?\nAnswer: -1518045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhbbhbhh. Give prob of sequence hbh.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 + (-1 - (-8)\/2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-6) + (-31)\/(-3). Let z be (-2*1)\/(2\/(-16)). Let l be 4\/(z\/6)*2. Solve -3*k - 2*m - l*m - 14 = 0, 2*m - h = 4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*j - 11*j + 24 + 36 = 8*t, -4*j = -t + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4469.865 millilitres to litres.\nAnswer: 4.469865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 35\/21 + 7\/((-588)\/164). Which is the nearest to 0.15? (a) 1\/5 (b) d (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391400.7 micrograms in tonnes?\nAnswer: 0.0000003914007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19526513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 45856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 - o**2 - 3*o + 2*o + (-3*o + o + o)*(3*o + 6 - 6) + 22 - 2*o**2 - 22 to the form c*o**2 + q*o + v and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - c3?\nAnswer: -c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0127 times -0.0388?\nAnswer: 0.00049276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02609 - -0.020704. Round d to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - x + 1 = -0*x, 3*m - 21*x - 191 = -115*x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v + 22*v - 8 + 2*v**2 - 18*v)*(-v - v - 2*v) in the form b*v**2 + q + w*v**3 + f*v and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l + 1. Let f = -1199 + 1200. Calculate g(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 9:57 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(1*(-6)\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14287973069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -249, -559, -1003, -1587?\nAnswer: -2317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xtj when three letters picked without replacement from tttjjjtjjxjjj.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1718.7 rounded to the nearest ten?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -749375 divided by 29975.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/24445 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 30124424 (base 6) to base 14\nAnswer: 1822c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -3\/4 (c) -36 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1432 - -0.0568. Let j be (3\/(-12))\/((-8)\/(-16)). Which is the fourth biggest value? (a) j (b) 1 (c) m (d) -0.219\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 5*i + z + 15, 2*i + 5*z = 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1702\/435077 or -1?\nAnswer: 1702\/435077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -908, -3988, -9214, -16586?\nAnswer: -26104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 108\/8*(-2)\/(-3). Let k = w - -12. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -380, -378, -376, -374, -372?\n\"Answer: 2*j - 382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.978 - 0.022. What is the nearest to 0.1 in r, 0.5, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 448 and 4424.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 6:06 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d**2 - 74 + 74. Suppose 8*p - 3*p = 85. Suppose 0 = -5*c - 4*n + p, 2*c = -2*c - 4*n + 16. Give b(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 6656?\nAnswer: 6656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 161 + 7427. List the prime factors of h.\nAnswer: 2, 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + w - 10. Solve -a = -2 - w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -4\/263193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*d - 432 = -21*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6741 and 189?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-6)\/(-8)) + (-180 - -186)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 319.9226 millennia?\nAnswer: 3199.226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 3, 0.15, -0.2, -363?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 5:29 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 5*o**2 + o. Suppose 4*p = 5*p. Let m(a) = -a**2 - a + 5. Let k be m(p). Let d be u(k). Solve 2*f + 3 = d*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70657\/23870 - -6\/1085. Find the common denominator of o and -31\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 132 + 4. Let j = -131 + v. What is the remainder when 6 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220675617 to the power of 1\/2, to the nearest integer?\nAnswer: 14855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -757, -3002, -6735, -11950, -18641, -26802, -36427?\nAnswer: -47510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -2157*o + 2162*o + 12, -5*s - o = -3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = a - 2*u, 4*a + 4 = -5*u + 15. Let s(t) = t**3 - 3*t + 1. Let m = -259 - -257. Let w be s(m). Put w, -5, a, 5 in decreasing order.\nAnswer: 5, a, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5*w + 9 + 1, 0 = -3*w + 6. Let q be ((d\/3)\/(-3))\/2. Sort q, -0.5, 0.2 in descending order.\nAnswer: 0.2, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/6 + -2\/3. Let s = -57 + 55. Which is smaller: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*j + 20*c - 15*c + 12, -5*j - 865*c + 867*c = -2*j - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-1 - 5))\/(485\/(-194))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*l**5 + 354*l**4 + 230*l**3 + 38*l**2.\nAnswer: 2*l**2*(l + 19)*(3*l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-6) - (0 - 1). Let p = 8 - 12. Which is bigger: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1003736073?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 435*o - 20 = 430*o. Solve 10*z = o + 26 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7*q**3 + 4*q**2 - 9*q + 8. Let b be m(2). Suppose b*o = 18*o + 134156. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t. Let g(m) = 84*m + 14*m**2 - 15 - 24*m + 6*m**2. Let y(u) = -60*a(u) + 4*g(u). Differentiate y(n) wrt n.\nAnswer: 160*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 237 (b) 264\/245 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6880 - 6877. Let n(t) = -12*t - 5. Let m(r) = -23*r - 9. What is i*m(c) - 5*n(c)?\nAnswer: -9*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-170 - -175) + (-1 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*g - 397*g - 42*g = 4301 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2327\/133 + -327\/19. Let q be 1 - (-3)\/(6\/10). Which is the second smallest value? (a) j (b) q (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 4*p**2 - 5*p + 4. Let g be h(3). Let f be ((-7)\/(-3) + -2)*-1. Let j = 39 + -113\/3. Which is the nearest to -0.01? (a) g (b) j (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 2296796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 12*k + 22. Let l be y(9). Let n = -274 + l. What is the units digit of 4 + 76\/(-20) + n\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7565, -30062, -67473, -119786, -186989, -269070?\n\"Answer: 2*q**3 - 7469*q**2 - 104*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-11)\/(-2) + 6\/(-4). Suppose -4*m + 2329 = 3*p, 6*p - 581 = -m + o*p. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 4. Let k be w(0). Let i = k - 30\/7. Let h = -9.3 - -10. Which is smaller: h or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 434208512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -l**3\/3 + 2859. Let v(n) = 8*n - 4*n + 9*n + 29*n. Determine d(v(z)).\nAnswer: -1764*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-4) + (-2)\/4. Is v at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10343 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8560611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 23*p + 39. Calculate k(-12).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1741, -1740, -1739, -1738, -1737, -1736?\n\"Answer: f - 1742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24740.06um in nanometers?\nAnswer: 24740060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -30*m - 110. Let u be y(-27). Let c = 1269 - u. List the prime factors of c.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 1. Let c be (-1 - w)*6\/(-4). Which is bigger: -4 or c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hehehhhhhimqe. Give prob of picking 1 h, 1 q, and 1 m.\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5037 - 333 = 224*k for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -20, -3, -6, -43, -9 in increasing order.\nAnswer: -43, -20, -9, -6, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 1 = -n + 8*o, n + 4*o = 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 7 - 22 = 0. Let l(k) be the third derivative of 0*k**y + 3*k**2 + 0 - 1\/24*k**4 + 0*k. Let x(r) = r. What is l(x(c))?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 3*a**2 - 2*a + 2. Suppose 2*r + 4*s = -3*r + 2, -2*r - 4*s = 4. What is the units digit of i(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -369, 33, -2 in decreasing order.\nAnswer: 33, 1, -2, -369","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 1\/23, 1\/188, -3 in descending order.\nAnswer: 6, 1\/23, 1\/188, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104330341 (base 5) to base 15.\nAnswer: 9294b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 - 5)*(8*k**2 + 2*k**2 - 4*k**2) in the form o*k**2 + u + h*k and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - (21 - (-5 - -12) - (12 + -13)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (3*(sqrt(1377) - (1*sqrt(1377) + 3)) + -5)*4 + 0 + -1)**2.\nAnswer: 2809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21.1625 minutes?\nAnswer: 1269.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 9, f: 2}. What is prob of sequence hfh?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*c**3*k**2*o + 5*c**3*k**2 - 16*c**3*k*o**2 - c**3*o**2 + c*k**2*o**2 - c*k*o - 1 wrt k?\nAnswer: 16*c**3*o + 10*c**3 + 2*c*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n**3 - 15*n**3 - 12*n**3 - 9*n**3.\nAnswer: -24*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2395*c**4 - 590*c**4 - 96*c**4 - 448*c**4 + 569*c + 256*c wrt c?\nAnswer: -42348*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.483719313911 - 1\nAnswer: -0.516280686089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10338)\/3446)\/(1\/(158\/6))?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -443295, -443298, -443303, -443310?\n\"Answer: -v**2 - 443294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2319*w**3 - 5*w**2 - 27261*w?\nAnswer: -13914*w - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**3 - 2*f**2 - f + 1. Let x(g) = -335*g**3 + 804*g**2 + 402*g - 402. Determine -x(c) - 402*y(c).\nAnswer: 1139*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.420527 weeks in milliseconds?\nAnswer: 5092734729.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102447753.\nAnswer: 3, 19, 79, 22751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**8\/56 + q**6\/15 - 17*q**5\/60 + q**4\/12 + q**2 - 90. Find the third derivative of i(y) wrt y.\nAnswer: -360*y**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17779*n**5 + n**3 + 2*n**2 - 2*n + 6679.\nAnswer: -355580*n**3 + 6*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of 0*y + 0*y**3 + 0 - 1\/30*y**4 + 1\/2520*y**8 + 5*y**2 + 1\/180*y**6 - 1\/90*y**5 + 1\/315*y**7. Suppose o(k) = 0. Calculate k.\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxbx when four letters picked without replacement from xbxbxxbbbx.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 2198788.02188 and 98.\nAnswer: 2198886.02188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 6*m - 7. Let g be o(-7). Suppose -a = -2*y - 52, -a - y + 44 + 20 = g. Calculate the greatest common factor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 555.35950807 + -555.36. Round w to 5 decimal places.\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 4*x**2 - 12*x - 1. Let k be 54\/(-12) + (-6)\/4. Let b be m(k). Is 5 a factor of (((-6)\/(-3))\/(-2))\/(b\/35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 88*s**2 + 1. Let t(l) = l**2. Give t(j(v)).\nAnswer: 7744*v**4 + 176*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z**4\/17 + 195814*z**3\/17 + 587280*z**2\/17 - 72*z\/17 - 783040\/17 = 0.\nAnswer: -97880\/9, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -50*v + 38*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 5 + 1\/10*t**2 + 0*t + 1\/15*t**3. Solve j(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8986 - -8985.7. What is the nearest to d in 9, -0.04, 2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -2. Let k = -2 - p. Solve -k*u = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111000110111010111 (base 2) in base 7?\nAnswer: -1660031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -161.8155?\nAnswer: 162.2155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u + 11*u - 3*u**2 - 20*u)*(-132*u + 40*u - 111*u)*(1 + 1 - 1).\nAnswer: 609*u**3 + 203*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1111101110100001 (base 2) to base 9\nAnswer: -107324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -82, -167, -252?\n\"Answer: -85*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + (2 - (5 + -2)). Let t = -3 - -7. Suppose -t*c + n + 4 = 0. Solve 4*l + 4*x - 26 = -l, -5*l + 3*x - c = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4)\/k)**(-26)*(k\/k**6)**47 assuming k is positive.\nAnswer: k**(-405\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-258)\/(-9) + 2\/(-3). Let f = 11 - y. List the prime factors of 4\/(-10) - f\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m + 12. Suppose 0 = -5*z + 2*w + 66, -w - 3 = -0. Let b be y(z). Let o(i) = i + 18. Let r be o(b). Solve r = 3*x - 0*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by 56.\nAnswer: -13\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5b7 - 64443?\nAnswer: -63a48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7470 rounded to the nearest one hundred?\nAnswer: -7500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -2. Let n be 1\/6*-4*(-1 - 2). Let c(m) = m**n - 87*m + 26*m + 32*m + 30*m - 4. Calculate c(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000526813 to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -409767*c - 656611?\nAnswer: -409767","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 213227 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22.98 - 0.02. Let v = r + 23. What is the second biggest value in -1, v, 1\/7?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - x + 23 + 120 = 0, -4*n - 106 = 2*x. Does 5 divide -1 + n\/12*-9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66379578?\nAnswer: 2, 3, 19, 181, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**3\/5 + 816*t**2\/5 + 55488*t\/5 + 1257728\/5 = 0.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*y**4 - 326*y**3 + 11686*y**2 wrt y?\nAnswer: -48*y - 1956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39525 by 17.\nAnswer: 2325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -29. Let k be (-4 + 7)\/(6\/170). Let m = k - 55. Calculate the remainder when m is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -515 - -843. Calculate the remainder when m is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36138.\nAnswer: 2, 3, 19, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/3, 3, -102 in descending order.\nAnswer: 5, 3, -2\/3, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -451083\/34 + 13267. Which is the fourth biggest value? (a) h (b) -1\/2 (c) 2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 118*x - 11 = 117*x, -5*x + 3 = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*a - 2 - 15 + 24*a + (2*a - a + a)*(-1 + 2 + 1).\nAnswer: 2*a - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*o - 23*o - 5*o**3 + (o**2 + 2*o**2 - 5*o**2)*((-2*o - o - 2*o)*(0 - 2 + 4) + 6*o - 3*o - 2*o) to r*o**3 + n*o**2 + a + w*o and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 3*h - 2. Let b(c) = -14*c + 128. Let x be ((-9)\/(-6))\/((-7)\/(-42)). Let o be b(x). Determine y(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 - (-55)\/(-990)*684?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-6)*((-570)\/20)\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**4\/24 + 2*a**3 + 3*a**2. Let o = 6 + -12. What is t(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 21*j - 19. Let y be d(-19). Let i = -44 - y. What is the remainder when 35 is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 748166 is divided by 74760.\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i**2 + 1517*i + 3031. Calculate x(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*(sqrt(832)*3)**2 + -2)*-1.\nAnswer: -29948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c + 1. Let t(n) = n - 1. Calculate -4*t(u) - 2*w(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -224242.1 and -3942?\nAnswer: 220300.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*s + 6*s - 9 = 0, -3*n + 9 = 3*s. Is 2\/355 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 3 k when four letters picked without replacement from kkkkkkmk.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -333.87 rounded to zero decimal places?\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8967280?\nAnswer: 2, 5, 7, 67, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.1 (b) -151\/4 (c) -0.1 (d) -0.4 (e) -0.137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x**2 - x**3 - 24294775 + 24294775.\nAnswer: -x**3 - 16*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(608)*-1 - sqrt(608))*6)\/(sqrt(24)\/(2*sqrt(12)) - sqrt(128)).\nAnswer: 32*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5.3, -3\/8, -27, -0.68?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -1\/8, -1, -0.09, -1\/26?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 7:12 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 + 2*p + 21. Let z be w(0). Let f be (-7 + 1)*(-7)\/z. Suppose -f*u - 5*b = -5*u + 20, b + 4 = 5*u. Solve u = 3*d + 4 - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -13900*s**3 - 9*s**2 + 3*s + 3. Let o(m) = -450624102*m**3 - 291774*m**2 + 97258*m + 97258. What is 97258*c(g) - 3*o(g)?\nAnswer: -13894*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2367.\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9653 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0.2, -0.1, -3, 18 in descending order.\nAnswer: 18, 2\/7, 0.2, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155263076.\nAnswer: 2, 53, 732373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4*6*(sqrt(34)\/(sqrt(2) - -2*sqrt(2)*-3) + 2))**2.\nAnswer: -2304*sqrt(17)\/5 + 67267\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.8 + -4.6.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 694*a - 678*a = -32 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -35, 5.6, 2\/11, -1\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, q: 8, w: 1, p: 5}. Give prob of picking 2 w and 1 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -8. Suppose -24 = -5*m + p + 62, 0 = d*m - 4*p - 72. Suppose 4*s - m = -1, -4*u = -5*s + 12. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2463*t**2 - 2463*t**2 - 14*t**3.\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3233 = 7*g - 3282. Solve g*u + 72 - 58 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -42.228 and -0.9.\nAnswer: 38.0052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-7)\/(-84)) + -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 - 2905*n + 2900.\nAnswer: 5*(n - 580)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 45, -5, -2 in increasing order.\nAnswer: -5, -2, -1, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 4. Let u be h(-6). Suppose 0 = 2*r - 3*p - 4, -6 = -3*r + p - u*p. Solve -g = -r*g - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36356 and 2866015?\nAnswer: 699307660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1233 and 959?\nAnswer: 8631","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from cacccccaacaca.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -9242*c + 267985. Calculate z(29).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 219*s - 1 + 208*s - 129*s + 214*s to the form c*s + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 455 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13961 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 208300307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 27*j**2 + 62*j - 111. Is 32 a factor of l(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/7 of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d7 - a0?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14608, -13480, -12356, -11236, -10120, -9008?\nAnswer: -7900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g**2 + 4*g - 8 - 6*g**2 - 6*g + 3*g**3 as j*g**2 + t*g**3 + b*g + q and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 2:18 AM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -725*k**2 + 2*k + 1. Let r be p(-1). Suppose -7*z - 1052 = 2259. Let l = z - r. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 + -11 - 92 - (-19 + 0)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -638\/469 - -5\/67. Let s = n + 6\/7. Let q be (-45)\/12 - (-1)\/(-4). What is the smallest value in 0, q, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/26 - (2 - 14030\/65). Suppose h + 470 = 3*z. Is 44 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/((-3)\/(-2))*44\/8. Let w(y) = -8*y + 6. Let r(k) = -3*k + 2. What is o*r(b) + 4*w(b)?\nAnswer: b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 101\/4*b - 35\/2 - 27\/4*b**2 - 5\/4*b**3 + 1\/4*b**4 = 0.\nAnswer: -5, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 8*m + 2*w - 2511966, 0 = -3*m - 2*w + 1507182. Let r = 4297608 + m. Round r to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 - -86 - (-1 + 3 - -24 - 3).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*m - 79 - 89. Let h = m + 18. Solve o + 12 = h*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 5*s + 2. Let y be c(4). Let a be (-8)\/y - (0 + 1). Solve 0 = a*h - h - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 432 and 504.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/(sqrt(8) + (sqrt(8) + sqrt(24)\/sqrt(3) + sqrt(8))*-6).\nAnswer: -sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*(sqrt(1377) - (4*sqrt(1377) + -5)) + 3)**2.\nAnswer: -2916*sqrt(17) + 111859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*y**2 - 16*y**2 + 61*y**2 in the form p*y**2 + q + f*y and give p.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8727 by 6.\nAnswer: -2909\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 7*b**2 - 45*b - 1. Let k be n(-4). Solve 5*g = -5*a + 35 - 5, 11 = -4*g + k*a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -562875*f + 562873*f - 128 for f.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b*c**3 - 6686*b + 89*c**3 - 5*c**2 wrt c?\nAnswer: 3*b*c**2 + 267*c**2 - 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 588 = -m, -m + 582 = 5*o - 0*o. Let i = o - 583\/5. What is the closest to i in -1, 0.1, -6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1982669945?\nAnswer: 5, 31, 2671, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 18 = 4*x, -x + 2*r + 7 = -0*x. Suppose -x*b = 3*y - 3, 2*b - 8 = 6*b. Suppose 3*d - 9 = y. Calculate the smallest common multiple of 16 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -8, 3, -4, 1405.\nAnswer: -15, -8, -4, 3, 1405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t - 1 + 1)*(6*t**2 - 4*t**2 - t**2) - t**3 + 2*t**3 + 2*t**3 + 6*t**3 + 70*t**3 + 19*t**3 to g + r*t**2 + v*t**3 + o*t and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 4341*s - 4339*s = 84, -3*s = -12 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -946022 + 946022 - 1593*n**2.\nAnswer: -1593*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uudduuxvuutxtqd. What is prob of sequence qdx?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 531721 and 1063442?\nAnswer: 1063442","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve 38*n - 39*n = -c + 2, -2*n - 4 = -4*c for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 993 and -43?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 64052 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3331 - -744?\nAnswer: -2bed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 374 and 283118.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 240145*o - 960500.\nAnswer: -5*(o + 4)*(o + 48025)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 454786643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-3*d - d + 3*d)*(-7*d + 79*d**3 - 74*d**3 + 3*d).\nAnswer: 5*d**4 - 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1366901660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4077 and 1652091?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.2454 + 4.32. What is f rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(77) - sqrt(77)*-2)*-1)\/(-1*((sqrt(99)*-2 - sqrt(99)) + sqrt(99)) - sqrt(99)) + -1.\nAnswer: -1 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 238, 540, 964, 1510?\nAnswer: 2178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5 - 30*r**4 + 150*r**3 - 290*r**2 + 240*r - 72 = 0. What is r?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 6:36 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/2 (b) -34\/67 (c) 2 (d) -169\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 2*c + c - 47, -f = -2*c - 10. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -18 - (-6 - -9).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -89*q + 717*q**2 - 356*q**2 - 364*q**2 - 4 + 4 - 2*q**2 + (2*q - q + 0*q)*(2*q - 5*q + q) - 2*q**2 - 2*q**2 + 5*q**2.\nAnswer: -6*q**2 - 89*q","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Convert 353734.2 centimeters to kilometers.\nAnswer: 3.537342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -46*k**3 - k**2 - k. Determine q(-1).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -19*f**2 - 25*f - 4. Let a(d) = -57*d**2 - 75*d - 11. Let p(z) = 4*a(z) - 11*t(z). Find the second derivative of p(k) wrt k.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1114 (base 5) to base 15\nAnswer: a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47329697 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1204*z**6 - 650*z**2 wrt z.\nAnswer: 144480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-7 - -1) + 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 134\/13 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**2 + 330*c*s - 3*s - 166 wrt c.\nAnswer: 4*c + 330*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0836077 - 0.08438. What is b rounded to five dps?\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 107 + -100. Let l(p) = p**3 - 6*p**2 - 3*p + 2. Determine l(t).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4395.\nAnswer: 3, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24948 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -2*t**3\/9 + 29*t**2\/3 - 19. Determine c so that w(c) = 0.\nAnswer: 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02 - 16.02. Let c = 16.2 + f. What is the closest to 0 in -0.5, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, c: 1, r: 9}. What is prob of picking 1 c and 3 r?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 93611.06m?\nAnswer: 93611060000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**4\/6 - 141*n**2 + 1. Let a be ((-4)\/(-10))\/(2\/10). Let r(l) = a*l + 1 - 1. Give 2*j(i) + 5*r(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 1672*t**2 - 2*t - 2. Let h(c) = 5*c. Determine y(h(a)).\nAnswer: 41800*a**2 - 10*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 - 1)*(-k + k - 2*k) + 3*k + 2 + 11*k - 2*k + (2*k + k - 4*k)*(-60 + 27 + 19) to f*k + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 523*(6 - (0\/1 - -5)). Let u = p - 521. Let j(i) = i + 6. Let h be j(-4). Solve -u*l + l = h for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4982933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -s - 7*m + 2*m, 0 = -2*s - 5*m - 45. Let j be (s - 0)*(-24)\/20. Let u be (-2)\/5 - (-182)\/5. What is the highest common factor of u and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -14*r**2. Suppose -k = 3*c - 9 - 8, 5*c - 5*k - 35 = 0. Let y(g) = 9*g**2 - 2*g**2 - c*g**2. What is y(i(d))?\nAnswer: 196*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 801 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, u: 3, e: 3, i: 6, y: 2}. Give prob of sequence uii.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -26 (b) -1\/12 (c) -0.004\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 390397 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-8 - -4) + 1 - 13.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 29*d**2 - 223*d + 190. Calculate t(-19).\nAnswer: 817","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220002010 + 12011222?\nAnswer: -1200220011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + r + 65. Suppose -15*g - 11205 = -122*g - 142*g. Calculate the smallest common multiple of z(0) and g.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -4. Let r(i) = i**3 - i + 1. Is r(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*i + j, 4*i + 8 = -j - 10. Let l be (3\/((-1)\/1))\/(-3). Put 0, l, i in increasing order.\nAnswer: i, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -26, -38, -48, -56, -62?\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6 + 3*i + 7*i**2 + 2 + i**3 - 12*i**2. Suppose -3*x + 5*z + 19 = 0, -4*x - 4*z - 24 = 4. Let p be x\/(2 + (-36)\/15). Calculate j(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 55075, 439638, 1483447, 3516124, 6867291, 11866570, 18843583?\n\"Answer: 54937*l**3 + l**2 + l + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/10*(-1)\/3. Which is the nearest to -2? (a) y (b) 1\/4 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -133694.41 to the nearest 10.\nAnswer: -133690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 592*h + 20*h**2 - 592*h - 2 in the form j*h + n*h**2 + y and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100 (base 2) in base 6?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28519185691 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2367*q - 5 = s - 2366*q, -39 = 9*s + 3*q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -205*-6\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10000020 - 101221?\nAnswer: -10102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 33276163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from {y: 2, u: 1, v: 1, h: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 207*y. Let p(w) = 5622*w. Give p(f(c)).\nAnswer: 1163754*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1257077 is divided by 1319?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -36, -39, -40, -39, -36?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l**3 - 20*l**2 - 308*l + 14. Calculate a(14).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12 - (-1)\/390*-4682. Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 938\/9, 0.04, 63 in descending order.\nAnswer: 938\/9, 63, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74 + 252 - 85 + 697*i**2 - 93.\nAnswer: 697*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 818.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 153*d + 1568. Let y be f(-11). Let j(o) = -2*o + o**2 - 2*o**2 + 6 + 6*o. Let p be j(5). Solve h - 2*c - p = 2*c, -3*h - y = -3*c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*g - 3. Suppose 2*f = h, 30 = 6*f - f + 5*h. Is f*g - 8\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -332*f*w**2*z**2 - 2*f*w**2*z + f*z**2 + 7*f*z + 15*w*z wrt w?\nAnswer: -664*f*z**2 - 4*f*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -58, -0.1, 8, 0.4, -7, 0, -9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (32\/(-48))\/((-1)\/1317)?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2935\/6 + 501. Let g = 2000721\/20 - 100041. What is the common denominator of d and g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -j + 10, 0*w + w = 3*j + 10. Suppose w*b = 9654 + 7686. What are the prime factors of b?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220) + 4*(sqrt(220) + sqrt(220)*-2 + sqrt(220)))*-4)\/(2*(sqrt(11) + (sqrt(55)*1)\/sqrt(5)))*3.\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2891 + -288. Let n be (-4)\/(-10) + 111519\/(-35). Let j = n - p. What is the common denominator of -56\/5 and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*b + 18. Let p(g) = g + 19. Suppose -2*m + 0*m - 26 = 0. Let j be p(m). Calculate the highest common divisor of b and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + 6 - (-4 - -9)) + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 5*q**2 - 4. Let m(u) = -u**2 + 16*u - 10. Let f be m(15). What is p(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, a: 2, h: 2, j: 1, i: 1, c: 1}. Give prob of picking 1 h, 1 c, and 1 t.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*c*h*k**2*l + 34*c*h + 77*c*k**2 - 2*h*k**2*l - 2*k*l with respect to h.\nAnswer: 2*c*k**2*l + 34*c - 2*k**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 3158?\nAnswer: -631.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36155*h - 26683 with respect to h.\nAnswer: 36155","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 531.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t + 10*t + 226 + 1139 = 12*t for t.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*w + 1296*w + 158*w - 1634*w.\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1554190 divided by 4378\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 112590152727 take away -4?\nAnswer: 112590152731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + -10058722.\nAnswer: -10058721.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*((1 - 1) + 1). Suppose b + 3*b = k. What is the remainder when 29 is divided by (b - 1) + 33\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3398 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*(z*z**20)\/z)))\/z**(1\/5)*(((z\/(z*z**(-1\/8)))\/z)\/z)\/(z*z**(-23)*z))**(1\/15) assuming z is positive.\nAnswer: z**(1597\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -78, -69, -60?\n\"Answer: 9*h - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -551*d**5\/60 - 175*d**4\/4 + 532*d**2. Find the second derivative of h(k) wrt k.\nAnswer: -1102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72452735?\nAnswer: 5, 31, 467437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 v when three letters picked without replacement from {v: 7, y: 12}?\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1502a422 + 2?\nAnswer: 1502a424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1160 by 10.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189035395.\nAnswer: 5, 383, 98713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*q - 24*q - 5*d = -182973, -6 = d. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1651675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10001001101111111000001 (base 2) to base 3\nAnswer: 22111022200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 183426 and 114?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 434100 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 72098.28mm?\nAnswer: 72098280","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*b - 3908 = -40*b + 2968. Suppose -5*j - z + 39 = 0, 5*j - 5*z - 41 - 4 = 0. What is the greatest common divisor of b and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -53, -1\/42?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 131.928*0.3062\nAnswer: 40.3963536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 15124921855943?\nAnswer: 15124921855947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0 (b) -2\/15 (c) 7 (d) 17\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16917, 16993, 17091, 17211, 17353, 17517?\n\"Answer: 11*t**2 + 43*t + 16863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47069 is divided by 903.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 29 + 0*y**4 - y + 0*y**3 - 95\/2*y**2 - 67\/6*y**6 + 0*y**5. Find the second derivative of u(r) wrt r.\nAnswer: -1340*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -9*x**5\/20 - x**4\/6 + 4*x - 5. Let q(u) be the first derivative of h(u). What is the third derivative of q(f) wrt f?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y + 5. Let v be a(0). Let g = 66 - v. Is (2 - 5) + -1 + g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2526464779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 5*s - 2*a, 0 = -5*s + 2*a + a + 69. Let c(r) = -r + 11. Let f be c(s). Let h(q) = -15*q**3 + q**2. Give h(f).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/56112 and -127\/326480.\nAnswer: 163566480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (2*(-6)\/6 - 1309\/(-68)) + -5.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 451.6343 meters to nanometers.\nAnswer: 451634300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 1\/4*l**2 - 1\/8*l**4 - 7 + 0*l + 0*l**3. Suppose t(s) = 0. What is s?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3143 a factor of 625513574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/412 and 8\/47483?\nAnswer: 189932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66 (base 8) to base 7.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 2 and -2\/207827 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2, 2, 6?\n\"Answer: 4*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.076, -2, 11 in increasing order.\nAnswer: -2, -0.076, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 2979504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 48, 30, 4, -36, -96?\n\"Answer: -t**3 + 2*t**2 - 17*t + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h - 1. Let l be w(2). Let d = l - -5. Suppose d*k + 5 = k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 469.2979 and -3.4?\nAnswer: -1595.61286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 119a (base 11) to base 3\nAnswer: 2010211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7596 + 20*r**2 + 50*r**2 - 7596 in the form x + d*r + k*r**2 and give k.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13065 divided by 871?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15521707*v**5 - 1546183*v - 2?\nAnswer: -310434140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 2:06 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(192)\/(sqrt(24)\/sqrt(4)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 7*c**2 + 19*c - 10. Let b be y(9). Let q be ((-9)\/(-2) - b) + (-39)\/(-26). What is the units digit of (-2)\/q*(-49)\/28*4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*p + 5*z - 2, -6 = -p + 4*z. Let o be (-2)\/(-6) + (-16)\/p. Solve -o*c = -2*v + 9, 4*c - 5*v + 5 = -7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 5*s - 0*s. Suppose -4*w + 0*w - 52 = h, s = -3*w + 3*h. Let l = 79 - w. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -19, -2\/1149, -1\/14, 1\/4, 0.2, 0.22?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*q - 80. Let i be (4\/(-6))\/((-2)\/q). What is the third derivative of 3*r**2 - 5*r - r**4 + i*r wrt r?\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 655329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 12:32 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + r - 1. Calculate b(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8050)\/(-28)*4\/5 - 5. What is the highest common divisor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -l - 4*x, l + 4*l = -4*x - 104. Let f be (-114650002)\/(-5) - (-8)\/l. What is f rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k + 2*k + 2*k)*(-4*k + 2*k + 3*k)*(1 - 3 + 0) to the form m*k**2 + b*k + q and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 + 708*h + 2. Let s(g) = -g**2 + 720*g + 3. Determine -2*c(l) + 3*s(l).\nAnswer: l**2 + 744*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 130 and 22.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 261 - 237. Suppose 40 = u*a - 32. Solve 0 = a*b - 4*m - 9, 2*b + 11 = -7*m + 4*m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + o)*(-22 + 5 + 6)*(91 - 91 - 271*o)*(o + o - 3*o) to n*o**3 + i*o + x + v*o**2 and give n.\nAnswer: -2981","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 25 = -3*h, 2*q + 4*h = -2256. Let t = q - -2510. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162 = -4309*g + 4291*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 172 and 559?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 835.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81076.8 months to millennia.\nAnswer: 6.7564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.27 + -1.47. Sort -3, 2\/15, u, 4\/7 in descending order.\nAnswer: 4\/7, 2\/15, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i - 2. Let o(v) = -45281 + 45281 - 21*v**2. What is o(t(b))?\nAnswer: -84*b**2 - 168*b - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1, 2\/17, -5\/3.\nAnswer: -5\/3, 2\/17, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*b - 4 = 6, 0 = -5*b - 10. Let k be 1\/1*z\/70. Sort 2\/19, -2\/5, k in ascending order.\nAnswer: -2\/5, k, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 222 - 101. Let v = 24 + -13. What is the greatest common factor of v and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmjj when four letters picked without replacement from mmmjmmjjjmmmmjjjjjj.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3995, 8108, 12221, 16334?\nAnswer: 20447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - u**3 - 8 + 2*u**3 - u**3 - 8*u**2 - 3*u. Let w be y(6). What is the tens digit of (-4)\/(-6) - w\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629?\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 178.01 + -197.21. Let c = 68.8 + -81. Let h = r - c. What is the closest to 0.1 in 2, h, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 140\/11 - 12007\/946. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*o = 7*y - 46, 0 = 2*y + 3*o - 17. Are y and 13 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 4 + 0 - 3*m + 1 - 3*m**2. Let v be u(-2). Let c be 2\/(-9) - v\/18. Is -1 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20116003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 684\/52 + -3 - 7*(-10)\/(-455)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54\/5 of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*n - 4*q = -30, -5*n + 4*q = -131. Calculate the highest common divisor of n and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15530995?\nAnswer: 5, 3106199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 66 - 50. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**9\/(n\/(n\/(n*n**(-3\/11)))))\/(n*n*n**(2\/5)*n*((n*n\/(n*n*n**3\/n*n*n))\/n)\/n) assuming n is positive.\nAnswer: n**(598\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2211.0446 rounded to 0 decimal places?\nAnswer: -2211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 40 = -4*a, -464*a - 5*b + 5 = -459*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1853*s - 314*s + 2403*s - 653*s + 1931*s as q*s + x and give q.\nAnswer: 5220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v + 5. Let a be u(-2). Let c(l) = 50*l - 4. Let t(k) = -17*k + 1. Let m(w) = -6*c(w) - 17*t(w). What are the prime factors of m(a)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1095, 2178, 3221, 4206, 5115, 5930, 6633?\n\"Answer: -3*j**3 - 2*j**2 + 1110*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -z - 5*s - 0, -4*z - 2*s + 48 = 0. Let b(u) = -2 - 7 + u + z. Give b(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46 - -257. Let d = -302.7 + p. Let k(x) = x**3 - 2*x**2 - 4. Let g be k(3). Which is the smallest value? (a) g (b) d (c) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*-1796.\nAnswer: 143.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 406 and 98.\nAnswer: 2842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*w**2 - 18*w**2 - 8*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrzf. Give prob of sequence fz.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -243 - -235. Let v(k) = -k**3 - 8*k**2 - 6. Calculate v(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 5 + 6 + v - 3 in the form j + h*v and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2\/9 - 256273492*f\/3 + 8209512837734258 = 0. What is f?\nAnswer: 192205119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -86161 or -86164?\nAnswer: -86164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -384 + 245. Let u = y - -140. Let m = 0 - 8. What is the second smallest value in m, 1\/2, u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3851.\nAnswer: 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(-250)*-5 + 3024655\/50 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - (sqrt(99) + -1*sqrt(99)))*5)\/(sqrt(9) + sqrt(1296)*-3))**2 - (1*(-3*((1*sqrt(1331))**2 + sqrt(1331)) + sqrt(1331)) + -1).\nAnswer: 22*sqrt(11) + 195717\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 40*l - 10 = -38*l, a = -l + 5. Solve -3*q + 6*q + a = o, 11 = 3*q - 5*o for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2))**(-3\/7)*q*q**4*q*q**(-2\/19)*q assuming q is positive.\nAnswer: q**(1031\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*((-7)\/(-9) + -1). What is the closest to -3 in -2\/17, -0.2, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**3 - 36*r**2 + 50*r - 436. What is the hundreds digit of l(27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8726 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2882675641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*y - 20 = 0, i - 2*y + 12 = 2. Suppose i*b + 5*k - 1730 = -3*b, -k = -2*b + 1136. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 13*v - 8. What is q(13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172791?\nAnswer: 3, 73, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1542079481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81 + -73. Let m(v) = 8*v**3 - 8*v**2 + 13*v - 17. Is m(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6656 and 1768192.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nngrnnggqnbnggob. What is prob of sequence nbn?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6230767.\nAnswer: 109, 57163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*j = -109 + 37, 3*d + 5*j - 209 = 0. Let y = d - 23. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 506.259 hours in days?\nAnswer: 21.094125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -793 (b) 0.07 (c) 0 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z + 0*z - 2*z**3 + (z - 6*z + 2*z)*(4*z**2 + 0*z**2 + 0*z**2) to the form k*z**2 + o*z + l*z**3 + t and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4 - 63*o**3 - 108*o**2 + 3360*o.\nAnswer: 3*o*(o - 20)*(o - 8)*(o + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) 1 (c) -1 (d) -54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -5*v**2\/2 - 4*v - 228. Suppose w + 13 = -3*u, 2*u - u + 4*w + 8 = 0. What is o(u)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minus -5945177823975?\nAnswer: 5945177823989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 4, -0.3, 3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 17 = -3 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 - -61. Let j be -4 - (0 + 10 - -1). Let u = j + 25. What is the remainder when y is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 58\/7 (b) -35\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(-4) + (199\/4 - 2). Suppose -i + 690 = 5*i. What is the highest common factor of u and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p + 4*p + 9*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 6) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2242319?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4 + -1)*-4. Let y = 3 + u. Suppose -y*n + 0*n = -3*c + 99, -4*n = 0. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344 = -3*v + 77278*w - 77361*w, -v = 5*w - 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve a + 29 = -4*k, -4217 = -5*a - 24*k + 3991 - 8381 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p\/p**(-18)*p*p)\/(p*(p\/(p\/p**(-1\/19)))\/p)*p\/(p**14*p)*p**(-9\/4)*p)**(-34) assuming p is positive.\nAnswer: p**(-10081\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13760791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 6*v - 1. What is n(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/312*(-7)\/(21\/39)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of n**6\/360 + n**5\/60 - n**4\/2 - 6*n**3 + 959*n**2 + 2*n. Factor q(v).\nAnswer: (v - 6)*(v + 3)*(v + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 12. Suppose 0 = -5*r - x + 43. Suppose 0 = r*b - 22 - 8. What is the remainder when 24 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 211422 (base 7) to base 15\nAnswer: ac80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*n**2*p**2 + 8*n**2 - n + 9*p**2 + 82*p wrt p?\nAnswer: -38*n**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5053*a + 6 + 1 + 10105*a - 3*a**3 - 5052*a.\nAnswer: -3*a**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 142 = 5*r - 4*v - 3*v, 15 = -123*v + 128*v for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - (-10)\/(-4))*4. Suppose -s*c - 6 = -0*c. Let q = c - -3. Solve -4 = 2*p - q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47794*p**4 - 6*p**2 - 20*p + 4?\nAnswer: -1147056*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h + 1964 + 1836. What is h rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5551 - 116545\/21. Is 1 smaller than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -v + 13, -3*v + 3*u - 37*u - 37 = 108 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, 3, 4, -5 in decreasing order.\nAnswer: 4, 3, -2, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -18*c**4 + 21*c**3 + 18*c**2 - 21*c = 0.\nAnswer: -1, 0, 1, 7\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2175591*d**4 + 7359569 wrt d?\nAnswer: 8702364*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-55)\/(-65) - -2) + -3. Let j = 0.38 - -0.02. Which is the biggest value? (a) j (b) y (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**4 + 156*v**3 - 19983*v**2 + 321684*v - 1130220 = 0. What is v?\nAnswer: -117, 5, 14, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1578*a + 1578*a - 8*a**2 + 25*a**2.\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*r**3\/11 - 646*r**2\/11 - 766*r\/11 - 20 = 0. Calculate r.\nAnswer: -2\/3, -1\/2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 48 = -21*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, f: 1, n: 2, l: 4, p: 1, s: 6}. What is prob of picking 1 n, 1 s, and 1 g?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1122.365um?\nAnswer: 1122365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89*r**2*u**4 - 2*r**2*u**2 + 222*r**2*u + 20*r*u**6 - u**2 wrt u.\nAnswer: 2136*r**2*u + 2400*r*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1792))\/(-6*sqrt(36)\/sqrt(9)).\nAnswer: 8*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85 + 3659*w**3 - 3654*w**3 - 12*w**2 + 16*w**2.\nAnswer: 5*w**3 + 4*w**2 + 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) 3 (c) 1.7 (d) -4\/7 (e) -448\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22383161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 4. Let p = -3 + 3.1. Let q = 53\/55 + -15\/11. Which is the closest to q? (a) p (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 555684?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + 24\/(-9))*(1 + -4). Which is the biggest value? (a) -3 (b) -12 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-243)\/81*14\/3129\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 105, 157?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + r - 10 = 0. Suppose -32*n + 208 = 80. What is the lowest common multiple of r and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*a + 16*a - 756. Is 11 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1326.6 + 1321.6. Sort 1517, 5, i, -1 in decreasing order.\nAnswer: 1517, 5, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 290119110?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -36 (b) -2 (c) 61663\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 1644?\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.025 + -0.115. Let r = 0.19 + h. Is -6\/5 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.528 - 1.5279389. What is q rounded to six decimal places?\nAnswer: 0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13 and -0.26049?\nAnswer: 12.73951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 116, 120, 124, 128?\n\"Answer: 4*q + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*q**5 + 22932*q**3 + 1050680*q**2 wrt q.\nAnswer: 900*q**2 + 137592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8\/(-16) - ((-1)\/4)\/((-1)\/(-42)) and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/5)\/((-15)\/(-50)). Suppose -14 = -4*s - w*m + 14, 2*s = 5*m - 7. Solve 4*u + k = -u - 13, 0 = -s*u - k - 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 27.041931 milliseconds?\nAnswer: 0.0000075116475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/sqrt(360))\/(sqrt(343) + (sqrt(343)*-2 - sqrt(343))) + -1.\nAnswer: -1 - sqrt(2)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 - 7. Let h be y(0). Let l = -410 + 416. What is the tens digit of (5 + h)*(-201)\/l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 35*b**2 + 3 - 3*b - 15*b**2 - 17*b**2. Let h be n(-4). Let a = 102540\/79 + -1298. Is a < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80 - -113. What are the prime factors of i?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -16 (b) -8 (c) 1\/2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 - 291 = -49*u for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wi when two letters picked without replacement from igqjwqiz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38\/79 - -2647\/8295. Let x = -2\/105 - h. Let k be (-2)\/(-2)*2\/(-5). Put x, -3, 5, k in descending order.\nAnswer: 5, x, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-9) + (-1582)\/21. Let h = 301\/4 + b. Suppose -3*u - 34 = 3*t - 7, -32 = 3*t + 4*u. What is the third smallest value in -0.07, h, t, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289 is divided by 63.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112 and 2800.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 a factor of 304345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1611)\/4296 + (-390)\/(-16).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -7\/8816?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*15\/((-375)\/(-10)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**7\/70 + z**6\/10 + z**5\/20 - z**4\/2 - 19*z**2 - 4. Let c(j) be the second derivative of b(j). Factor c(t).\nAnswer: -3*t*(t - 4)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 9*g + 3. Let z = -1295 + 1299. Determine b(z).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 484*v - 55. Let r(i) = 499*i - 63. Calculate 6*r(z) - 7*t(z).\nAnswer: -394*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1017702 and -43\/22468?\nAnswer: 278850348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {v: 5, y: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 540250 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -93? (a) 3\/10 (b) -12 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 753*h = -278 - 1111 - 933 + 63 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**3 - 11*c**3 + 0*c**3)*(-67 + 348 + 222).\nAnswer: -8048*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 44*a**2 + 16*a - 19. Let d be r(5). Suppose -t = 1886 - d. What is t rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27979 and 420827.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1786.18 and -14?\nAnswer: 1772.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 307064783 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 nearest to -0.7 in 0.2, 0, -1, -1\/2, -214?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 29080.25057 to the nearest one hundred.\nAnswer: 29100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9678 by 24.\nAnswer: -1613\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 5*a + 4. Let y be h(-8). Let s be ((-48)\/y)\/(1\/(-4)). Let q = 247\/35 - s. Is q less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 178 and 13530581?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 5:09 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 167655968.\nAnswer: 2, 43, 121843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, 1\/778, 0.5?\nAnswer: 1\/778","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 13\/20801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 4) to base 6\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 3542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 3*d - 3*f, -1728*f + 1733*f = -2*d + 3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 1 = -6. Suppose o*w + 5*j = 2*w + 890, 910 = 5*w - 5*j. Suppose 2*v + w = -v. What is v rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12891 + 12890.85621. Round g to 2 dps.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s**3 - 2*s**2 - 16. Let o(h) = 9*h**3 + 3*h**2 + h + 31. Let b(t) = 11*f(t) + 6*o(t). What is the tens digit of b(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 not equal to 721453\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - 5*o**2 + 22*o + 130. Give k(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17535 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 6*b = -5*b - 3, 3*b = 5*n + 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -23.6 and -0.166.\nAnswer: -23.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4818549 * 0.8\nAnswer: -3854839.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -69, -120, -173, -228, -285, -344, -405?\n\"Answer: -l**2 - 48*l - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1) + (13 - (3 - -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*f - 91 = -245*t + 248*t + 6*f + 4*f, -t + 3*f - 37 = 0 for t.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -689, -1398, -2115, -2840?\n\"Answer: -4*j**2 - 697*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -5\/2*q**2 - 1\/15*q**5 + 1\/120*q**6 + 2\/3*q**3 + 1\/12*q**4 + 0 - 6*q. Let g(v) be the first derivative of s(v). Give g(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 107*r + 2801. Determine v(-47).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, s: 7}. What is prob of picking 3 q?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 9*k = 65. Let n be 65*((-38)\/(-35) + 76\/(-266)). Calculate the highest common factor of n and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**2 - z**3 - 6*z**2 - 19*z**2 - 42 - 31*z + 12. Let v be w(-20). Calculate the highest common factor of 76 and v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1914*g**2 - 4 + 2710*g**2 + 2 - 4630*g**2 + 2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - sqrt(104)*-2 - sqrt(104))*2)\/(sqrt(32)*-2).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 792 = 5*z, z + 2*c - 156 = -0*c. Let i be (-6)\/9 + z\/6. Suppose 0 = -2*v + i + 6. Is v a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/1360*-680*-4.\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-6))\/((-7)\/28). Suppose -v*q = 4*h - 4*q - 14, q = 3*h - 10. Suppose 5*m - 10 = 0, 0 = 4*z + 5*m - 22 - 68. Solve z = h*x + 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3797300, -4, 2 in decreasing order.\nAnswer: 2, -4, -3797300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 44*b - 218. Calculate the lowest common multiple of h(-6) and 1180.\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*r = 76, -5*r = -9*r. What is the remainder when 75 is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*o + 42*o = -2294 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m**2 - 157*m - 3. What is the hundreds digit of j(-17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d + 7*d = -39*d + 3534. Calculate the greatest common factor of 15333 and d.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 352 and 575840.\nAnswer: 6334240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.28 (c) 48 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x**2 - 2*x - 2. Let t be u(-2). Let f be (1 + 3\/(-2))*t. Suppose w - 33 = -f*q, 4*q - 2*q - 12 = -w. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/2)\/((-5)\/10*1075\/(-86))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**2 - i**3 - 5*i**2 + 5*i**3 - 4*i**3 + 0*i**3 + (3 - 3*i - 3)*(2*i - 2*i + 2*i**2).\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-50)\/30)\/((-5)\/(-15) - 2). Sort 1\/7, -2\/3, -0.5, i in descending order.\nAnswer: i, 1\/7, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74*h**3*m**2 + 6*h**3*m*w**3 + 10*h**3*w**3 - 8161*h**2*w**3 + 3*h*m**2*w**3 + 2229*h*m**2 - 2*m wrt m?\nAnswer: 148*h**3 + 6*h*w**3 + 4458*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 18, d: 1}.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 - (-25 - (-9 - -18)) - (-2 - 0).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 14958?\nAnswer: 1495b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.14? (a) 1\/4 (b) 5 (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -3*f**4\/4 + f**3 - 2. Let z(o) = 0. What is o?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*u - 4. Let y = 8 + -9. Let l = -244\/3 + 82. Which is the closest to y? (a) l (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -7*t**2 - t + 8. Let g(j) = 3*j**2 + j - 4. Let h(y) = 9*g(y) + 4*i(y). Let d be h(4). Solve -2*r - 2 = d, -3*o + 2*r + 0*r = 13 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 0.4 (c) -2\/3 (d) -0.5 (e) -0.1 (f) -1154.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8392979mg in nanograms?\nAnswer: 839297.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -381.232 and 237?\nAnswer: -90351.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 654 is divided by 303?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 29 = 4*k. Let u = 5 - k. Solve 4*l - 4 = 2*h, -5*h + 10 = 5*l - u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -3.1. Let p = 165491 + -2316871\/14. What is the nearest to -1 in w, 1\/4, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q + 17 - 6 + 3*q. Let n(g) = g**2 + 8*g + 5. Let z be n(-6). What is the units digit of u(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 132172\/4665 + 1\/1555. Let y = t + -28. Let o be -4*1 + (-1 - -2). Put y, 3, o in decreasing order.\nAnswer: 3, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2897364 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -4 (c) 2\/3 (d) -1\/810\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1234 - 1231. What is the nearest to 1184 in g, -1, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1439812 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 8. Let x be k(6). Let z(n) = -2*n**2 + 3. Let b(c) = -c**3 - 3*c**2 + 4. Calculate x*b(m) - 3*z(m).\nAnswer: -2*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -5*d**4\/12 + 175*d**3\/6 - 760*d**2 + 153*d. Find l, given that m(l) = 0.\nAnswer: 16, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 + 4*l**3 - 10*l**3 + 9*l + 8*l**3 + 10*l**3 - 19*l.\nAnswer: 9*l**3 - 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 * 44.8\nAnswer: 7.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, k: 1, t: 2}. What is prob of sequence tk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2796843 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 14 = 16. Let l = -36 - -59. What is the remainder when l is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l. Let o(p) be the first derivative of 2*p**3\/3 + 10*p - 6. Let t = 12 + -22. Let u(b) = -1. Let j(w) = t*u(w) - o(w). What is z(j(a))?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 4*v**2 - 5*v. Let n be -6 - -1 - (2 + 0). Let b be k(n). Suppose -4*g + 78 = -b. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 862 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5821, 11717, 17613?\n\"Answer: 5896*b - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -134, -327, -558, -827?\n\"Answer: -19*q**2 - 136*q + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.988 - 8. Let j = -0.01146 - c. What is j rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -166*u + 1760. Let v be z(10). Calculate the highest common factor of v and 320.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 77920610 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 22. Suppose -5*a - 5*x = -40, i = -x - 0 + 2. Let c(t) = 7*t**2 - 10*t + 2. Let k(j) = -8*j**2 + 10*j - 1. Let b(h) = 7*c(h) + 6*k(h). Give b(a).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nz when two letters picked without replacement from {q: 1, j: 1, e: 4, z: 2, n: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 536 - 752. Let u = -136 - g. Let a = 79.37 - u. What is a rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11\/5*s**2 - 4\/5*s**4 + 13\/5*s**3 + 0 + 2\/5*s = 0 for s.\nAnswer: 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*x + 3*x + 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40)\/722*(-1674)\/495. Let m = 2\/361 - k. Put 2, m, -0.5 in ascending order.\nAnswer: -0.5, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c. Let u(x) = 6*x**2 - x + 1. Let w be u(1). What is m(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -4*((sqrt(128) + 3 + -4 + sqrt(128))*-3 + -2))**2.\nAnswer: -2304*sqrt(2) + 73764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/172620 and 61\/9864.\nAnswer: 345240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*((-2 - 1) + -1). Let h be (w\/10)\/(6\/15). Solve h*l = -8 + 20 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4750*u + 4745*u + 30 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 799857253*k**2 - 142257763 wrt k?\nAnswer: 1599714506*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqaaaqaqqtqqqaaqqq. What is prob of sequence qt?\nAnswer: 11\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.6 times 3763644?\nAnswer: -36130982.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 37*v + 210. Give l(-30).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -55*u + 1. Suppose 0 = -b + 6 - 9. Let q be p(b). Round q to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by 331.\nAnswer: 9\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -e529?\nAnswer: -e52c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -25, -10 in decreasing order.\nAnswer: -1, -10, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 4*r - 46 - 67, 2*r - 40 = 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7)\/1 - (-95225 - -55) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/2 and 49\/6221.\nAnswer: 12442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 11 = -2. Let w = -1 + i. Is (w - -16)\/(-1 + 3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 733190939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2 = -y, -p + 3*p = -2*y + 6. Let q = 2.83 - -0.17. What is the biggest value in q, y, 1\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbkkkkyby. Give prob of picking 1 k, 1 y, and 1 b.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -59\/6 + 61\/6. Factor 2\/3*m + l + 1\/3*m**2.\nAnswer: (m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 73243125 and 7745250.\nAnswer: 3369183750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 5 + -1 + (7 - (-1 + 0))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-10)*(-14)\/(-35)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5\/5 - 8*s**4\/5 - 21*s**3\/5 - 22*s**2\/5 - 8*s\/5 = 0. What is s?\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14.201041 - -14.2. Round h to five dps.\nAnswer: -0.00104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from cuuuujuujuujuuuuu?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24676024?\nAnswer: 2, 97, 31799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 12.6714 and -189.28.\nAnswer: -176.6086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -21*x + 1246. Give c(32).\nAnswer: 574","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143.9216496 - -79.\nAnswer: -64.9216496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s + 121. Let t be d(33). Suppose 28*o = t*o + 24. Solve 6*c - o*c - 2 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 253*w**3\/6 - 39*w**2\/2 - 3*w - 15. Let m be a(-2). Which is greater: -544 or m?\nAnswer: -544","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 29. Suppose 5*r - o = 29, -3*r + 2*o + q = 7*o. Let t = -6 + 24. What is the least common multiple of r and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 11:21 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 275549\/7 - 39363. Factor 0 - x*w - 2\/7*w**2.\nAnswer: -2*w*(w + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -2. Let b = 0.4 + -0.7. What is the biggest value in b, -2\/9, j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9957576 weeks to milliseconds.\nAnswer: 602234196.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/9 and (-25)\/(-30)*(-81)\/30.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*1 - (-156)\/13. Suppose 0 = -4*t - 4, -o + 18 = -w*t + 11*t. Solve 14*h = o*h + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 26*g - 24. Let q be d(1). Solve -q*f = 2*h - 12, -6*f + 9*f + 5*h - 24 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19852\/13 + 1528. Which is smaller: 1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27.6 + 28. Which is the fourth biggest value? (a) y (b) 5\/3 (c) 2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)*-1 + -5)**2 + sqrt(112))*-2.\nAnswer: -274 - 88*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m - m - 2 + 5*m. Let j be a(2). Suppose 0*y + 5*u = j*y - 31, 2*u = 3*y - 30. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310 - 130 = 20*q. Let a = q - -253. List the prime factors of a.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-213))\/(47\/5358*38)\nAnswer: 3\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 375*f**2 - 175*f**2 - 1099 - 573 - 165*f**2.\nAnswer: 35*f**2 - 1672","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7435 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 22*q**2 - 48*q + 180. What is the common denominator of 53\/8 and h(20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**4\/36 - 115*n**3\/9 - 229*n**2\/6 - 578*n + 1. Factor u(k).\nAnswer: -(k + 1)*(k + 229)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 12 = 6*u - 4*u, 6 = 14*s - 34*s - u for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027443947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.05 + 304.\nAnswer: 286.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1005442678?\nAnswer: 2, 101, 4977439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 5*b**3 - 2*b**2. Let d be (-2)\/(-5) - 8\/(-5). Let f(k) = -2*k**2 - 2*k**d - 4*k**3 + 15*k**3. Let w be (-2)\/3 + 350\/(-42). Give w*g(q) + 4*f(q).\nAnswer: -q**3 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 27.999925. Round t to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**3 - 2*v + 43*v**2 + 0*v**3 - 48*v**2 - 7. Let s(d) = d**2 + 1. Determine g(y) + 5*s(y).\nAnswer: -2*y**3 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 17. What is the lowest common multiple of 7 and i?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1419 is divided by 26?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89172955, 89172954, 89172953, 89172952?\nAnswer: 89172951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*a + 3, 6 = 4*l - 0*a + 2*a. Suppose -2*i = -f + 17742, -17*f - 26608 = l*i - 16*f. What is i rounded to the nearest 100?\nAnswer: -8900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 3?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q + 3. Let v(g) = -11*g + 6. Calculate 13*s(h) - 6*v(h).\nAnswer: h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1948\/5 - -390. Which is the third smallest value? (a) 5 (b) -0.1 (c) g (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((4\/((-60)\/(-3)))\/(14\/350)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, a: 10, w: 6}. Give prob of sequence ww.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 10. Suppose 0 = 126*l + 176*l + 57 - 963. Solve -j = -d + l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9750932267 - 9750932073.87912076. Let a = z + -17.12085384. Let y = -176 + a. Round y to six decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1121+-7\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**5\/60 - 5*x**4\/24 + 15*x**2. Calculate g(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000100110100001010011 (base 2) to base 16.\nAnswer: 226853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + m - 105. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216116 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(171))*5)**2.\nAnswer: 450*sqrt(19) + 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j + 6. Determine o(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 820 and 781706?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1232, 2451, 3670?\nAnswer: 4889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*f + 65 = -83, 3*w - 173 = -f. Suppose 0 = -5*h - 25, -4*h + 44 = -4*m + 8*m. What is the lowest common multiple of w and m?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-77)\/(-7) - (-7290)\/(-9). Which is smaller: t or -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 45.68493 milliseconds?\nAnswer: 45684930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 12:38 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -13. Let j = 0 - 0. Suppose j = 2*s + 4*o, -o = -5*s - 14 + 3. Put -4, f, s in descending order.\nAnswer: f, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18881 in -1\/61, 4, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -1142\nAnswer: 9\/1142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.02 - -0.02. Let f = 3.7 + z. What is the smallest value in f, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 - 106. Let h = n + 319\/4. Is 1 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from nnnrnnrn?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/5 - 0 - 5\/25.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 26*g**3 + 4*g**2 + g - 4. Let n(j) = 76*j**3 + 11*j**2 + 3*j - 11. Calculate -11*k(w) + 4*n(w).\nAnswer: 18*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 9*b - 5*b + 6, 0 = -5*a + 3*b - 28 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11942 is divided by 148?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/5))**34*a\/(a**(4\/3)\/a)*a**(1\/4) assuming a is positive.\nAnswer: a**(-761\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 2:24 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 3*x + 24 = -19, 0 = 4*b + 5*x - 53 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1087*g + 100*g + 362*g in the form z*g + b and give z.\nAnswer: 1549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19056 divided by -1.\nAnswer: -19056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 13 = -5*t, 15 = t - 4*l - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8623335?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1. Let r = -451.9 + 403. Let v = -49 - r. What is the nearest to -2\/7 in o, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1869 = s, 4*s - 7474 = y + 2*y. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/3 at least 25.16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2584 + -1400. Suppose g = 4*n + 328. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.56 - -1.\nAnswer: -1.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 1639 = -4*y. Suppose 5*c - 747 = a, 4*c - 57*a = -54*a + 591. Which is greater: c or y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 28*b**6\/3 - b**4\/6 + 4*b**2 + 2*b + 155. What is the third derivative of j(r) wrt r?\nAnswer: 6720*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2784547419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*g + 3 = -3*g, -9 = 5*r - 3*g. Let t(j) = -j**2 - j + 1. Let f be t(r). Is (2 - f) + 39*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b20e (base 15) in base 10?\nAnswer: -189464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 at most 1.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + -2 + -3 - (sqrt(704) + -2 + sqrt(704) + -5) - -1*(sqrt(528)*-2*3)\/sqrt(12))**2.\nAnswer: -80*sqrt(11) + 4404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 7:33 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 43251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x**3 + 26*x**2 + 15*x + 16. Let w be v(-6). Let f(k) = -12*k. Calculate f(w).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 353073*d**2 - 4386*d + 2924. Let f(b) = -725*b**2 + 9*b - 6. Calculate -1462*f(u) - 3*w(u).\nAnswer: 731*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 648 = 8*z. Is 3 a factor of (-4)\/(-6) - (-772)\/z*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 (base 14) in base 4?\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16926 and 30?\nAnswer: 84630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(2\/(-184)*2) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7)\/i*i**4)\/(i\/((i*i**12*i)\/i*i)*((i**(-8)*i*i)\/i)\/i) assuming i is positive.\nAnswer: i**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*2\/(-4)*(-60)\/(-315). What is the second smallest value in z, -55\/3, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 18299.096.\nAnswer: 18298.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 11:07 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 153370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 222904*j**2. Let a(c) = 25*c**2. Determine a(b(l)).\nAnswer: 1242154830400*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssssss. Give prob of picking 3 s.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-3 - 1)) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5034353.\nAnswer: 5034353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-3)\/(-30))\/(6\/4)*(-440)\/(-20).\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4078.6895 and -0.6557?\nAnswer: 4079.3452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/6 + 11113*y**2\/6 - 16673*y\/3 + 11116\/3.\nAnswer: (y - 2)*(y - 1)*(y + 11116)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17622739*a**2 + 2*a + 19815672 wrt a.\nAnswer: -35245478*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -0*h + 4*h - 2*u, -h - 5*u = -22. Let t(y) = -3 - 52*y + 28 + 106*y - 50*y. Let q be t(h). Calculate the highest common divisor of 52 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (1 - (-1 + -11 + 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79937 = 3*u - 4*z, 53567 = 2*u - 5*z + 264. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 9 - 13\/24*a**4 + 0*a + a**2 - 7\/3*a**3 + 1\/60*a**5. Factor m(c).\nAnswer: (c - 14)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335904.2ml in litres?\nAnswer: 335.9042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3096, 3088, 3068, 3030, 2968, 2876, 2748, 2578?\n\"Answer: -h**3 - h + 3098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -133*x**5\/30 - 353*x**4\/24 + 68*x**2. Find the second derivative of i(s) wrt s.\nAnswer: -532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -1\/3*z**3 + 0 - 3*z + 0*z**2. Determine a(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 9*u**2 - 11*u + 3. Let t be m(10). Let r be 4\/t + 125\/525. Which is the third biggest value? (a) -1 (b) -0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15952 = -10*x + 47852. What is the thousands digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 + 34133.1?\nAnswer: 34198.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -19*a**3 - a**2 - 28*a - 55. Let v be s(-2). Calculate the highest common divisor of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 191 divide 19482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-14) - 68*(-12)\/2016.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2978580 and 26202?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 2 = -3*u, 14 - 6 = -4*u. Let f be t\/18 + 26999446\/18. Let p = f - 899969. What is p rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1562 - 26 = -128*o for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*n + 47*n + 3*m - 8 = 0, -2*n = -3*m - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 124833514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 6*a**2 + 8. Let b be m(-6). Let u be b\/28 - (-61)\/7. Is u\/(-4 + 7) + 117 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 23*y**2 + 20*y - 40. Let i be w(-22). Let r = 9 + 1. Suppose -i*l = 3*h - l, 5*h + 3*l + r = 0. Put 1, -3, h in decreasing order.\nAnswer: 1, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363 + 277 = 20*i. Let m be i\/12 - 0 - 3. Let d = -9.3 + 1.3. What is the fourth biggest value in 2, 1, d, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + sqrt(117) + 0 + 3 + sqrt(117) + 0 + (-1*sqrt(156)*-3)\/(-3*sqrt(1200)).\nAnswer: 6 + 59*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23899, 47731, 71559, 95383?\nAnswer: 119203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b**3 + b**3 + 2*b**3 - 132*b + 132*b.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 plus -3197.3911?\nAnswer: -3266.3911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m + 2*m + 8*m**2 - 3*m + 4 + m. Let f = 187 + -185. Let x(n) = 2*n + 27 - f*n**2 - 5*n**2 - 14 - 16. What is 5*s(w) + 6*x(w)?\nAnswer: -2*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 4*m - 7. Let l be g(-6). Suppose -3*i = -8*i + l. Suppose 3 - i = r. Solve r = -3*s - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 3, 5, 0, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (35 - 125) + 93 + 72\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**2 - x**2 + x**2 + (-2*x + 4*x - 4*x)*(-7*x + 7*x - 7*x) + 18*x - x**2 - 18*x.\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002380568 rounded to five decimal places?\nAnswer: 0.00238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v - 2. Let b(l) = -l - 1. Let p(j) = 12*b(j) - 3*x(j). What are the prime factors of p(-6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10777295 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-7)*(-42)\/(-6). Let c be (2 - 1)\/(3 - 2). Let m be (-20*4)\/5 + 8. Sort c, 4, v, m in increasing order.\nAnswer: m, c, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**2 + 5*u**2 + 0*u**2 + (-10 + 5 - 11)*(4*u**2 - 2*u**2 - u + 0*u**2) + (u**2 + u**2 - 4*u**2)*(4 + 1 - 3) - u**2 + 2*u**2 + 0*u**2.\nAnswer: -32*u**2 + 16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 8*l**3 - l**2 - l + 1. Let p be r(1). Suppose 2*f - p*f = 90. Is (-1180)\/(-36) + (-4)\/f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3 and -462 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5\/15 - 272*z**4\/5 - 808*z**3\/15 + 2452*z**2\/15 + 1358*z\/5 + 1628\/15 = 0.\nAnswer: -407, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -201 - 234. Let t = x - -435.0000446. Round t to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**2 + 24*h**3 - 19*h**3 - 7*h**2.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2*m**3 - 15*m**2 + 4*m + 3. Let h = -13 + 20. Let r be f(h). Let w be (-91)\/(-42) + 3\/r. Solve w*s - 8 = 6*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2311938 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303432314 is divided by 136.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**5\/15 - 2*f**2. Let x(w) be the third derivative of 0*w**4 + 2*w**2 + 0*w**3 - 1\/60*w**5 + 0 + 0*w. Give l(x(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 2\/2)\/(1\/4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 + (-3 + 2 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 28 = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*j + 24 = 0. Let u = 661 - 661. Let g = u + j. Are -9 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006816 rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2445 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-6\/5)*c\/c**(-5)*c assuming c is positive.\nAnswer: c**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 AM and 6:00 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 57*l + 0*l**2 - 6*l**2 - 57*l. Let f(y) = y. Give z(f(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v**2 - 13*v + 14. Let n be a(4). Calculate the greatest common divisor of n and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -263*a**3 - 256*a**3 + 756*a**3 - 277*a**3 - 4*a**2 + 4*a**2.\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = 28 - 412. What is the greatest common divisor of u and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264845 is divided by 264842?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-117) - 1\/((-26)\/141540). Let n = s - 48932\/9. Calculate the common denominator of n and 95\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/4*k**2 + 639\/4*k + 91\/2.\nAnswer: (k + 91)*(7*k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - m - 9. Let k be s(0). Let b = -9 - k. Solve b = -5*w - 3*d + 14, -8*w = -4*w - 5*d + 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114576 is divided by 2018?\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*s + k - 3, -2*k = -s - 4. Suppose -3*c + 4*z + 5 = 18, c = -2*z + 9. Let g = c - -7. Solve p + r = -s*r + 5, 2*p = -4*r + g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 1\/2, 81, -4\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 5*u**2 + 3*u - 4. Let v be s(-3). Suppose -v*j + 6*j - 4 = 0, -161 = -q + 2*j. Let i be (-2)\/(-5) - q\/(-65). Solve 4*g + i = 23 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**3 + 12*l**2 + 6*l + 3. Let d(w) = -2*w**3 - 6*w**2 - 3*w - 2. Let h(u) = -5*d(u) - 3*z(u). Does 19 divide h(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -29*g + 2195. Let j be c(76). Which is smaller: -8\/9 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1622951942 to the nearest integer?\nAnswer: 40286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/7)\/(z**(-14)\/z))\/(z*z*z\/(z\/((z*z\/(z\/(z*z**(-2\/19)\/z)))\/z*z))*z*z)**(-24) assuming z is positive.\nAnswer: z**(17676\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 13 + 2. Suppose -g + 5 - k = 0. Solve 5*y - g = 6*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2 - 16*f + 16. Let v be ((-42)\/9)\/(3\/(-9)). Let w be d(v). Suppose -p = -k - 5*p + 46, 0 = 4*k + 2*p - w. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2464 and 11231136.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -115 and -1112.8.\nAnswer: -1227.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxpgggpmgpc. Give prob of sequence mcpx.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**4\/8 + 5*j**3\/6 - 31*j**2 - 5. Let m(q) = -2*q + 2. What is 9*m(w) - 4*n(w)?\nAnswer: -6*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fyffqfdql. Give prob of sequence df.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(4 - (-1 + 3)). Let m be ((-8)\/5)\/(w\/(-5)). Calculate the common denominator of m\/(-32)*(-178)\/(-7) and -83\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2825 - -2861. Calculate the remainder when 341 is divided by a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/75 - 2767\/600. What is the common denominator of 101\/64 and u?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 5*h**2 - 2*h + 1. Suppose 38*y - 45*y = 35. Give j(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -10020805250698?\nAnswer: 10020805250694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 689434 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 1767?\nAnswer: 353.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -2595340 and -2595346 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 852?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-189)\/(-42)*4\/(-9). Let w = -3.6 + -10.4. Let u = -1 + w. What is the third smallest value in m, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-29 - -2)\/3)\/1. Find the common denominator of a\/(-6)*291\/27 and (22\/(-5))\/(6\/(-10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(2448)*6 - (sqrt(2448) + 0 + sqrt(2448))*-3)*-3 + -3)**2.\nAnswer: 6480*sqrt(17) + 19828809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -13*(-6 + 3 - -1). Suppose 19 + a = -5*k. Let x = -14 - k. Sort x, 4\/7, 0.1 in decreasing order.\nAnswer: 4\/7, 0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 880704243 to the nearest integer?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6*(12\/(-30))\/((-42)\/7)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1645188, -1645254, -1645356, -1645488, -1645644, -1645818?\n\"Answer: h**3 - 24*h**2 - h - 1645164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(10\/9))\/z*z*z\/(z*z\/(z\/z**(-1\/5)))*z)**27*z**(-7)\/z*z\/(z\/z**(1\/3))*((z*z**2)\/z)**(2\/7) assuming z is positive.\nAnswer: z**(8642\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*j + 76. Suppose 2*h - j + 4 = 0. Let p = 27 - h. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 5:59 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**4\/4 + 3*s. Let x(f) be the second derivative of 0 + 0*f**2 + 1\/12*f**4 - 17*f + 0*f**3. Give l(x(k)).\nAnswer: 3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1, 69, 257, 625, 1233?\n\"Answer: 10*d**3 - 2*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -38. Suppose x = -4*z - 2*z. Suppose 0 = -4*n + 8. Solve n*d - 1 - 3 = z for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/198*8\/(-12)*1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25007.7 - 25008. What is the second biggest value in m, 885, 1\/6, 3\/7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*i**3 - 112*i**3 - 21*i**3)*(-6 + 4 + 4*i - 2*i) - 48*i**4 - 19*i**4 - 53*i**4.\nAnswer: -304*i**4 + 184*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 102, 855, 2902, 6891, 13470, 23287, 36990?\n\"Answer: 108*u**3 - u**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 + 0. Let h = -195737 + 195740. Which is the closest to 2\/7? (a) w (b) 2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.36 + -0.04. Let g = 13 - 13.3. Let p = g - -1.3. Put 1\/5, p, b in decreasing order.\nAnswer: p, 1\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -38, -110, -208, -344, -530?\n\"Answer: -2*p**3 - p**2 - 55*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40062, -40057, -40048, -40035, -40018?\nAnswer: -39997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 - ((-49 - -135) + 17)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 - 20.7. Let a be 2\/5 + (-14)\/60. What is the second smallest value in a, h, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 279002 divided by 45\nAnswer: 279002\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(931)*-1 - sqrt(931))*1)**2*2 - (-3*sqrt(931) + 4 + 3)) + 5.\nAnswer: 21*sqrt(19) + 7446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -209564*b**5 + 2*b**4 + 13*b**2 - 179411966*b.\nAnswer: -4191280*b**3 + 24*b**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j + 9. Calculate h(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14338271?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/1)\/((-64)\/32). Is -8 equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, p: 1, v: 3, o: 2, t: 3, m: 5}. What is prob of sequence vp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 48 = -84. Is 37 a factor of (-154875)\/(-135) - ((-11)\/w - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a - -97?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1238 - 1237.88. Do f and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -403?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.3 + 13460134693.\nAnswer: 13460134688.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(136) - -1*sqrt(136))\/sqrt(8) + (1 + sqrt(612) + sqrt(612))**2).\nAnswer: -14694 - 156*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12358, 11631, 10404, 8665, 6402, 3603?\nAnswer: 256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28770149, -28770152, -28770155, -28770158?\n\"Answer: -3*u - 28770146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/i**1)**7\/(i**(-1\/5)\/(((i*i\/((i\/(i*i\/(i\/i**(-2\/23))))\/i))\/i)\/i*i)))**(-21))**(-4\/3) assuming i is positive.\nAnswer: i**(29344\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*6*1\/2.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 - 6*i + 3. Let z(x) = x**2 - x + 1. Let t(y) = -o(y) + 3*z(y). Let l be t(-2). What is the greatest common factor of 15 and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 56647 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**3*y)**(3\/8) assuming y is positive.\nAnswer: y**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1255774197 to the nearest integer?\nAnswer: 35437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13069.89 micrometers in millimeters?\nAnswer: 13.06989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16035 - 1?\nAnswer: -16036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -6\/7*n**2 + 4*n**3 + 263 + 0*n - 177\/28*n**4 + 3*n**5. Let r(q) = 0. Calculate q.\nAnswer: 0, 2\/7, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295878 is divided by 178.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -27*r + 21. What is the tens digit of s(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 14*z**3 + 42*z**2 + 10*z + 2. Let s(g) = 2*g**3 - 4*g**2 + g. What is h(m) - 10*s(m)?\nAnswer: -6*m**3 + 82*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + 15*40\/(-96). Is t at least -208\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -138*k**2*z + 51289*k**2 + 2472*k*z + 27*k - 5*z - 7 wrt k.\nAnswer: -276*z + 102578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/8300 and -119\/18?\nAnswer: 74700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**2 - a**2 + 0*a**2 + (a**2 - 15*a**2 - 14*a**2)*(-96 + 26 + 49) + a**2 + 1 - 1.\nAnswer: 588*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8147737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*d + 25 = 0. Suppose 5*q + 0*b - 4*b = 0, 2*q = -b + 13. Solve 0 = d*l - 2*l, -f = l - q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (4\/16)\/(8\/(-160))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2280 and 12.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2431189 is divided by 859.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 5) in base 2?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 434\/3705 - -4\/247. Let s be 3*((-451)\/(-1845) + (-4)\/30). Put s, u, 0 in descending order.\nAnswer: s, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4*l + 1. Let n be m(1). Suppose n*h + 7 = -23. Is (46\/(-3))\/(h\/27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -285 times -88?\nAnswer: 25080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1862 is divided by 373?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/21 and -29\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7851 rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*j**3 + 0*j**4 - j + 201*j**2 - 8*j**3 - j**4 - 201*j**2 - 1 to l + u*j**2 + r*j**3 + q*j**4 + a*j and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, -1061 in increasing order.\nAnswer: -1061, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h**2*i**3 + 8*h**2*i**2*j + 20*h**2 + 108247*h + 99224*i**3*j wrt j.\nAnswer: 8*h**2*i**2 + 99224*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 5:24 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, -536038269, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 AM and 9:39 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 179 - 173. Solve -19 = g*s - 25 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -65 + 955*u - 71 - 16. Is x(21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -136, -282, -426, -568, -708?\n\"Answer: w**2 - 149*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 215*s**2 + s. What are the prime factors of g(1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1596535*d - 1596637*d - 4386 = 0 for d.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b3a9 + -389?\nAnswer: 3b020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 + -0.17. Let y = n - 7.85. Let j = 7.9808 + y. What is j rounded to 3 decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 9. Let t be w(4). Suppose -32 + 17 = -t*h. Solve q - 3 - 2 = h*g, 3*q - 5*g = 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19532 by -4.\nAnswer: -4883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**2 + 3*y**3 + y**4 + 8*y + 0*y**2 - 2*y**3 - 1 - 10*y to the form m*y + i*y**2 + v + f*y**4 + r*y**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 402 + 2314030?\nAnswer: 2314432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (-47 - (36 - 14) - (-3 - -2))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(60)\/sqrt(6)*3).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*q = 3, -6 = -x - 11*q + 14*q. Let t be 4\/(-20) + 408\/x. Which is smaller: t or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4300079 micrometers in millimeters?\nAnswer: 0.0004300079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-16)*1*(-76)\/57?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 48 and 11478.1?\nAnswer: 550948.8","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138 and 621?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 53748 = -2*b + 53707, w - 147 = 9*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 - 3*n - 154. Let q(o) = o**2 + 1. Let b(s) = -f(s) - 5*q(s). Find the first derivative of b(r) wrt r.\nAnswer: -14*r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11761 and 5839441?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 3 - (-1 + -5)) + -4 - -13\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-62)\/112 - (-14)\/((-588)\/(-18)). What is the fourth biggest value in -0.4, 1\/6, h, -1\/11, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*f - 196*f + 1781*f**2 - 1783*f**2 + 102*f - 1.\nAnswer: -2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 6*t**2 - 5*t + 20. Let g(m) = -2*m**2 + 2*m - 7. Let w = -229 - -225. Determine w*s(u) - 11*g(u).\nAnswer: -2*u**2 - 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -dd + 3?\nAnswer: -da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 27*a**2 - 5793*a - 66990 = 0.\nAnswer: -11, 2030\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 510, 512, 500, 468, 410, 320?\n\"Answer: -p**3 - p**2 + 12*p + 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 2:51 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -205 + 271. Let n be h\/(-176) - 1\/(8\/5). Sort 1, n, 5 in descending order.\nAnswer: 5, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 46, 69, 1\/2, 0.3, -1\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-310489.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47530 + -47530.000112654. Round a to 6 dps.\nAnswer: -0.000113","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.8 - 5.43. Round m to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2. Let d(t) = t + 2. Let k(w) = 6*a(w) - 5*d(w). Let q be k(-2). Suppose 0 = 5*i - i - 96. Calculate the greatest common factor of q and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/9)\/((-50)\/105))\/1?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i - 19. Suppose -5*u - 4*k + 92 = 0, -u - 5*k = -2*u + 30. What is the units digit of q(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c - 5. Let u be p(-5). Suppose -3*q**2 - 5 + 2*q + 0*q + u = 0. What is q?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**6\/20 - 7*l**4\/24 - l**2. What is the second derivative of a(f) wrt f?\nAnswer: 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seventeen halves of a milligram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 2301 and 2302 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, -4\/5, 0, -17?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 d when three letters picked without replacement from {d: 3, m: 11}?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2928509865.\nAnswer: 3, 5, 2339, 27823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00616126 rounded to four dps?\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/54*2\/1*12. Suppose -2*t = s*n - 14, -5*n + 25 = -14*t + 18*t. What is the highest common divisor of 7 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -5\/5001 (b) -2\/21 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -270*m**2 - 278*m**2 + m + 549*m**2. Let t(r) = r + 1. Let c be t(-4). Let s(a) be the first derivative of 3*a**2\/2 - 6. Give c*g(o) + s(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 - -0.9. Let z = -60 + 56. Let s = 37\/44 + -1\/11. Sort t, z, s in decreasing order.\nAnswer: s, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -946.5 to the nearest 10.\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iuiugigggiiugoooun. Give prob of picking 1 u, 1 n, and 1 i.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4))**(8\/9))**(-6) assuming s is positive.\nAnswer: s**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 444?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -75891608.\nAnswer: 5\/75891608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, 4, 1 in decreasing order.\nAnswer: 46, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, -289, -986, -2027, -3418?\nAnswer: -5165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 - 477*y + 480.\nAnswer: -3*(y - 1)*(y + 160)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 702 and 6565962.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 626818 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -56 - -262. Let x = u + -80. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 41 + 43. Let o(y) = -3*y - 1. Let l(k) = -30*k - 9. Suppose 206*m = -150 - 262. Give m*l(r) + n*o(r).\nAnswer: -3*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30485?\nAnswer: 5, 7, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106 by 141.\nAnswer: 106\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -10. Let w = 17 + q. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -384 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -81, 58, 289, 612, 1027, 1534, 2133?\n\"Answer: 46*u**2 + u - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 14, 5, 2, -3 in increasing order.\nAnswer: -3, 2, 5, 9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7054*p - 7016*p = -570 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/50 and 52\/15335.\nAnswer: 153350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 10*y - 7*y. Let h = y - -27. Solve 0*i + h = w - i, 4*w - 10 = i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 3*k + 5 = 2*d, 2*k = 2*d - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1613912*k**2*r**2 - 2*k**2 - 19*k*r - k + 7*r + 147 wrt r.\nAnswer: -3227824*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2904 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (11529\/(-24705))\/((-14)\/(-50))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) - (5*-1*sqrt(1700))**2) + (-4 + sqrt(1700)*-3 + sqrt(1700))**2.\nAnswer: -35684 + 170*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = z - 4281, -z + 4*p - p = -4251. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2561 * -0.3.\nAnswer: 768.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2023 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 60845628499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57.6 - 49. Let l = -9 + i. Which is the third smallest value? (a) -1 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 3) + 0\/(-1). Suppose -4*c + y + 19 = 2*y, u*y = 2*c - 27. Let -b**4 - c*b**2 + 6*b**2 - b**3 = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + (24 - -9 - 19) - (-7 + -27).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117, 3, -1, 5.\nAnswer: -1, 3, 5, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 5. Let b be n(-5). Let t(c) = -c + 1. Let p be t(b). Which is greater: p or -0.2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - j**2 - j. Let o be p(2). Suppose o*n - 68 = -2*n. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vff when three letters picked without replacement from {c: 4, f: 6, v: 1, r: 3}.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -7. Let p(l) = -l**2 - 5*l - 5. Let n be p(z). Which is the biggest value? (a) n (b) 2 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - k. Let d be r(-5). Suppose -5*n - l = -110, -4*n + 47 = 3*l - d. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 + 19*v + 8. Let k be r(-9). Let l(c) = 1187*c**2 - c + 1. Is l(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 171082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 789985*n - 789973*n - 804 = 0, 3*z - 201 = -3*n for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158097299 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15814, 63248, 142308, 252994, 395306, 569244, 774808?\nAnswer: 1011998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (101 - 102 + 2*n - n)*(-8 - 13 - 9) in the form g + a*n and give g.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 + 6*r**2 - 7*r + 2. Let a be d(-7). Suppose 6 = a*o - 8. What is the remainder when 19 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 20*j**2 - 35*j - 24. Let s be v(18). Put -7, s, -1 in decreasing order.\nAnswer: -1, s, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -325445120 by -2542540.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-9) - (-1)\/3. Let i(n) = -n**2 - 8*n - 1. Let y = -13 + 5. Let q be i(y). Which is bigger: q or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 122*b + 2. Let i(o) = -o. Calculate 4*i(n) - z(n).\nAnswer: -126*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 65*n - 203*n**2 - 6 - 65*n + 291*n**2.\nAnswer: 88*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 y, and 1 j when four letters picked without replacement from jjkykyjkyjykkk.\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -11*t - 8*t + 24*t - 7. List the prime factors of a(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**6 - 3754*d**4 - 4*d**2 - 2657*d - 2.\nAnswer: 240*d**3 - 90096*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(155 - 77 - 76 + 39*j).\nAnswer: -39*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 264396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 84, 188, 332, 516, 740?\nAnswer: 1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1305394 divided by -39\nAnswer: 1305394\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7495 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: Let l(b) = b**3 + 4*b**2 + 3*b + 7. Let g be l(-3). Solve 2*r - g = 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*1 + (29640\/(-4384) - -1). Let x = 3\/274 + a. Factor x*h**2 + 1\/2*h + 0.\nAnswer: h*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/28 and -38\/613.\nAnswer: 17164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 11\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16332 and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 879227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*-3*-4)**2.\nAnswer: 23328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1004459992?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 24 + 55. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-16))\/((16758\/(-560) - -13) + 17).\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - ((-36)\/14)\/(-2). Let k be (-140)\/(-165) - ((-8)\/6)\/(-2). Let j be 1*(-5 - (3 - 5)). What is the nearest to s in -1\/3, j, k?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w\/w**3)*w*w))**(-5\/8))**16 assuming w is positive.\nAnswer: w**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8035 - 0.8035. Sort -9.96, -3, x in ascending order.\nAnswer: -9.96, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + -0.8. Let i = 0.3 - -0.5. Let f = 0.5 - i. What is the nearest to y in f, -1\/4, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -1687?\nAnswer: -1703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h - 3. Let b(g) = 10*g + 10. Let m(q) = -q + 15. Let r be m(13). Let c(d) = -3*d - 3. Let s(k) = r*b(k) + 7*c(k). What is -2*s(z) + w(z)?\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -t**3\/6 - 9*t + 2. Suppose -20 = -5*n, -4*l = 2*n - 5*n + 36. Calculate m(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hpp when three letters picked without replacement from {w: 2, r: 1, h: 1, j: 4, p: 8}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -144, -582, -1312, -2334, -3648?\n\"Answer: -146*p**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2 + -0.16. Let b = 59 + -58.996. Let y = 0.004 - b. Sort h, y, -0.2 in descending order.\nAnswer: h, y, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -564 - -584. Put u, 0.2, -2, 4 in descending order.\nAnswer: u, 4, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + -1 + -1 - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeehjhsjdoo. Give prob of sequence jde.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 649\nAnswer: 648.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5 + 14*h + 13 + 23*h. Let g(v) = -6*v - 56. Let r be g(-10). Is u(r) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + -33. Let j = o - 26.88. Let s = -0.3842 - 0.0158. Put s, -0.2, j in ascending order.\nAnswer: s, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6*v + 8 = 0, 4*s = 2*v + 16. Suppose -h = 4*u + s, 2*h = -2*h - 12. Let g = -2\/3 + u. Put -1\/2, g, -2\/7 in descending order.\nAnswer: -2\/7, -1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.993 - -37.928. Let u = m + 0.065. Let a = u - 33.99952. Round a to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 126\/462 + 25\/(-11). Let n be (-15 - (4 + d)) + -7. Put n, 4, -4 in ascending order.\nAnswer: n, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1\/4))**(29\/2)*(x*x\/(x**(-6\/13)\/x))\/x**(2\/77) assuming x is positive.\nAnswer: x**(172657\/8008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 4*d = 1502 - 1511, 0 = 3*w + 4*d - 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31206 to the power of 1\/2, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8462 + -8462. What is the closest to 2\/5 in i, 5, 2\/31, 4?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5486.6009 - -5256.58. Let i = w + 230. Round i to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 335 divide 464621979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18685.\nAnswer: 5, 37, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -86*x - 335. Let c be l(-4). Solve 60 = -3*q - c*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 53305201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -11*p**2 + 316*p - 1557. What is s(6)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -1\/30*i**5 + 0*i - 1\/6*i**4 - 36*i**2 + 0 - 1\/3*i**3. Suppose z(d) = 0. Calculate d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*y + 1608 + 1122. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 322 (base 4) to base 10\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -264396 less than -0.1?\nAnswer: 264395.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -15\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2899474.12 rounded to the nearest one hundred?\nAnswer: 2899500","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 + 37.952. Let h = t - 1.952. Which is greater: -21 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a micrometer in nanometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -29 - 7. Suppose -2*d - 17 = -3*o, 5*d + t = -5*o + 1. Does 11 divide (-1)\/(-16)*d + 221\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = 2*m - 76, m - 545*j + 83 = -541*j for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -24, 35, 128, 261, 440, 671?\nAnswer: 960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0 + 119*s**4 - 125*s**4 - 2 wrt s.\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -8, -4, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 9:35 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 87699*b**3*i - 5*b**3 - 2*b**2 + 2929 wrt i.\nAnswer: 87699*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 divided by -170?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 1:51 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2585 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -442 - -505. Calculate the least common multiple of i and 3.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 171, 675, 1515, 2691, 4203?\n\"Answer: 168*k**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*f, -4*i + f + 3*f + 24 = 0. Suppose -i*s - 2*x + 5 + 18 = 0, -2*x = 2*s - 14. Solve 3*g + s*v - 12 = -v, 3*g = v + 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2 = u. Suppose -u*s = -5*r + 15, 2 + 4 = 2*r - s. What is the closest to 0 in r, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -43, -45, -37, -13, 33?\n\"Answer: j**3 - j**2 - 6*j - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = t - 7. Let f = 8 + -5. What is the remainder when t is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - 7)*1 - -4499. Let i = a - 2806. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -22*y - 12. Suppose -39*h + 648 = 24. Let f(n) = 7*n + 4. Give h*f(l) + 5*u(l).\nAnswer: 2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 675 divide 373611825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1500 and 801500?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*b**3 + 13*b**3 + 145*b + 3*b**3 - 121*b.\nAnswer: -15*b**3 + 24*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 6:04 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/5 + 32*g + 640.\nAnswer: 2*(g + 40)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -1. Suppose -r = -4*r - 27. Let g = q - r. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4*u - 6, 3*v - u - 6 = -0*u. Suppose -3*x - 26 = -a, 4*x + 13 = -0*a - v*a. Is -12*1*x\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 299\/7610712?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -261 - 1.85595958.\nAnswer: -262.85595958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7784 = -26*p. Is p smaller than 277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6531 is divided by 121.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-58)\/((-21)\/(-9) - 2). Let h = f + 1222\/7. Let q be (-1 - -4) + -2 - -1. Which is smaller: q or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/4 + 3162687*l\/2 - 10002589059969\/4.\nAnswer: -(l - 3162687)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4 - 4*j + 2*j**2 - j**2 - 10. Let q(f) = f + 14. Let u be q(-8). Is 4 a factor of i(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.112, 2\/7, 3\/7, 2\/13, -5\/4, 113?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**5\/4 + 5*l**4\/6 + 5*l**3\/6 - 29*l + 35. Let o(r) be the first derivative of c(r). Factor o(y).\nAnswer: 5*y*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**4 + 574*q**2 - 255*q?\nAnswer: -12*q**2 + 1148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1392500635 rounded to the nearest one hundred thousand?\nAnswer: -1392500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 87*s + 6. Suppose -10 = -22*g + 17*g. Let i be n(g). Suppose -7*b + 3*b = -i. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 618113222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-8 + -3 - -56).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1010010 - -12?\nAnswer: -1002221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2070649 or 60048856\/29?\nAnswer: 2070649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -12. Calculate the lowest common multiple of 3 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 855221630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbn when four letters picked without replacement from {n: 3, b: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (2 - 16\/(-4)) + 39. Let a = 43 - c. Solve a = -0*g + 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20\/5 + (349 - -1).\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 27 = 4*n - 3*h, 0 = -5*n - 5*h + 15. Let x be 3 + -1 - 28\/12. Which is smaller: n or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/20 and 111\/50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6419, 6414, 6421, 6446, 6495, 6574?\nAnswer: 6689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20.5 - -20. Let q = 1589 - 1588. Sort w, q, 0.1 in descending order.\nAnswer: q, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -55.3 and 33492707941.\nAnswer: 33492707885.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 + 72 = 21*a. Let n(g) = a + g**3 - 207*g + 417*g - 208*g + 6*g**2. Give n(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (64\/(-48))\/(3\/9) - (-10 + 5). Let k = 9 + -4. Suppose a - 2*a - 11 = 0. What is the closest to -1\/2 in i, a, k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48426.17 to the nearest 100.\nAnswer: -48400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*(0 + sqrt(448)) + 5 - 4*(sqrt(7) - (-2*sqrt(7) + -5))*2*4)**2.\nAnswer: 59520*sqrt(7) + 282073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 4*v - 44 = 3*y, v - 38 = -4*y. Let f = y - 4. What is the greatest common divisor of f and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -2*a - 16, -3*t - 3 = -a + 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278768897?\nAnswer: 11, 25342627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 674716317 by 61337847.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 3 + (-4 - 2 + 4)*(-3 + 0 + 1) - 2 + 0 - 2)*(4*i - 3*i**2 + 4*i**2 - 6*i).\nAnswer: -4*i**2 + 8*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y. Let m(o) = 48202*o - 524. Give r(m(s)).\nAnswer: -48202*s + 524","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 + 18*i + 7. Let d be r(-8). Let s = 56 - d. Let k be 3\/(-9) - (-1)\/(-15). Which is bigger: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**6\/360 - n**3\/3 + n. Let m(h) be the second derivative of q(h). Let s(i) = -3*i. Determine m(s(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 6 - 3)*(4 - 4 + 2*h) + (-h + 0*h - h)*(-3 + 2 - 1) to m + o*h and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 53507770 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 4\/7, -2\/37.\nAnswer: -24, -2\/37, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3464?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2852536 and 270469?\nAnswer: 3123005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20119.\nAnswer: 11, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 32, 51, 60, 53, 24, -33, -124, -255?\n\"Answer: -g**3 + g**2 + 23*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u = -6*u - 12. Solve -8 = -3*i + u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -560 + 572. Solve 3*r = -a - d, -5*a = -2*r + 12 - 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 5*z + 7 = 0, 2*y = 2*z - 0 + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {e: 1, j: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i**2. Let d(l) = -13*l**2. Calculate -6*d(x) - 11*m(x).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 4602 + 4600 = -r, 4*q - 19 = -5*r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -442 - -446. Suppose 0 = -2*t - 2*t + d + 557, a*t = -5*d + 551. What is the remainder when t is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 - 2*a**3 + 8*a**3 - 7*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 175065.9g?\nAnswer: 175.0659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 38 - 29 + 1044*a + 1074*a - 2080*a to the form d*a + q and give q.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3474 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 - 14*w - 362*w - 33 + 365*w.\nAnswer: -11*w + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1784172 and 9113.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6*c**3 - 7*c**2 + 9*c + 2. Let z(a) = -a**3 + 4*a**2 + 3*a - 16. Let w be z(3). Let h be g(w). Solve -6*j - 10 + h = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24263 (base 7) in base 2?\nAnswer: -1100010101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -5. What are the prime factors of (9 - p)\/(1\/2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 11, r: 3}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 10 = -2*g, 5*g - 4*v - 28 = -37 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, c: 1, f: 5, p: 4}. What is prob of sequence pbp?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -188, -248, -360, -524?\n\"Answer: -26*l**2 + 18*l - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = j - 25. Let b(a) = a**2 + 7*a + 2. Let t be b(-5). Let v be (9\/(-12))\/(2\/t). Solve -4*f + v = -j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 3:56 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-27)\/(-15))\/(9\/15). Let d be 904\/(-10)*(t - (-3 - 4)). Find the common denominator of 57\/16 and (d\/12 + 4)*6\/(-80).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) 5 (c) 3\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d*q**3*z + 9*d*q**3 + 2*d*q**2*z - 411*d*z - 9567*q**3*z + 10076*q**2 wrt q?\nAnswer: 12*d*z + 54*d - 57402*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**3 + 8937*s**2 - 4606842*s + 196468272 = 0. Calculate s.\nAnswer: -3432, 47, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - g**2 - 5*g + 7. Let r(j) = j**3 - 2*j**2 - 6*j + 8. Let a(t) = -5*t - 70. Let z be a(-16). Suppose -4*d - z = 10. What is d*r(l) + 6*i(l)?\nAnswer: l**3 + 4*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1573.086 years?\nAnswer: 18877.032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, e: 13, u: 2}. Give prob of picking 2 e.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*f**2*x**6 + 369*f**2*x**4 + 2*f**2*x**2 + 150*f**2*x + 2 wrt x.\nAnswer: -360*f**2*x**3 + 8856*f**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 122.4 and -1\/20597 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + v - 10. Suppose 0 = -z + p + 3, 7 = z + p + 10. What is m(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -209 - -210. Is -2\/5 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 127. Calculate the remainder when l is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-588)\/(-126) - (-399)\/63.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 104\/(-8) - (-7 + 2). Let y(t) = -193*t + 45. Let f be y(g). Suppose -14*b = -15*b + f. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1345 and 87848675.\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jnjh when four letters picked without replacement from {n: 2, h: 2, t: 8, s: 4, j: 4}?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*b - 728 - 772. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j + 4*j - j**2 + (7*j**2 - 12*j**2 - 6*j**2)*(0 + 1 + 0)*(-5 + 2 + 1).\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -46 - -60 - (-3 + 0 - (-5 - 0)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -395*0.09274.\nAnswer: -36.6323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -6001*d**4\/24 - 5*d**3\/6 - d**2. Let w = -8 + 3. Let f be s(w). What is f rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 981014 and 351408.\nAnswer: 23544336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13328261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6 + (-6 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 8. Let q be s(6). Suppose -b - 5*p + 3 = 0, 0 = 3*b + q*p + 2*p - 9. Find the second derivative of 3*j**b - 2*j**3 - j - 3*j - 5*j**3 wrt j.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**3 - 72*f**2 - 70383*f - 2300508.\nAnswer: 3*(f - 179)*(f + 36)*(f + 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2941*c**3 - 2248 wrt c?\nAnswer: 8823*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3))**(-4)*z*z**(-7)*z\/(z**(-4\/3)\/z))**(-32) assuming z is positive.\nAnswer: z**(-896\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 5 + (-21 + -2 - -9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -75*w**3 - 13*w**2 + 2*w - 3. Let j(h) = 38*h**3 + 6*h**2 - h + 1. Let y(u) = -7*j(u) - 3*o(u). Let g be y(-2). Is (-4)\/(-18) + g\/36 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 43*v + 257. Give a(9).\nAnswer: 644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 5:36 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 7*r**2 - 7*r + 1. Let v be g(-6). Let s = v - -19. Suppose -42 = -4*i - 0*i + 2*t, -4*t + s = 3*i. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 113757 or 113756?\nAnswer: 113757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14416 is divided by 718.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2147912?\nAnswer: 2, 13, 19, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 + 0*v**4 - v**4 - 9*v**4 + 2*v**4 - v**4 + 2*v**4 - 4 + 4 + (-3*v**3 - 3*v**3 + 7*v**3)*(0*v + 2*v + 0*v).\nAnswer: -6*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/17724 and -61\/48.\nAnswer: 70896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + x)*(-2*x**2 + 6*x**2 + x**2)*(2*x - x**2 - 2*x) + (-5*x**3 + x**3 + x**3)*(2*x**2 - 6*x**2 + 2*x**2).\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 + 3*b**3 + 3*b**2)*(-50 + 75 + 74 + (3 + 1 - 3)*(0 + 5 - 3)).\nAnswer: 303*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 + -36.1. Let y = 13\/3 - 14\/3. What is the third biggest value in y, 2, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**3\/6 + v**2\/2 - 3*v - 35. Let w(g) = 7*g - 2. Determine -w(f) - 4*y(f).\nAnswer: -3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: a0652 (base 13) to base 6\nAnswer: 10051135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 45 + 27. Let f be l\/16*(-68)\/(-3). Sort 0, f, -4 in increasing order.\nAnswer: -4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n + 35 = -5*v - 20, v + 1 - 2 = -6 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50091*c**2 + 1314*c - 50095*c**2 + 4726*c - 2280100 = 0 for c.\nAnswer: 755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bycyc. Give prob of picking 1 c and 1 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(325)*-2 + 2 + (sqrt(325) - 2*(sqrt(325) + 1)))**2 + (1 + -2 + 0 + sqrt(325))**2.\nAnswer: -10*sqrt(13) + 3251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**3 - 464*g**2 + 12724*g + 27336 = 0. What is g?\nAnswer: -2, 51, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*2\/(-21)*-1. Let i = 2.5 + -0.4. Let o = -0.9 - i. Which is the third biggest value? (a) -0.1 (b) o (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -1. Do -1\/4 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*c - 4. Let s = 477 - 473. Is 5 a factor of 3\/(c\/(7 - s))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 82\/15 and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzhzhhzhhhhzhh. Give prob of picking 2 z and 2 h.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**3 - b**3 + 0*b**2 - 32 + 30 + 2*b - 4*b**2 in the form d*b**2 + o + s*b**3 + l*b and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2*3*2\/(-6)*-7\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8452551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -0*s. Suppose -3*v + 126 = -s*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*p = -2*u + 3, -6 = 2*p for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 is divided by 3\/((-3)\/(-30) + 3\/15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4466 is divided by 444?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-224)\/35)\/(52\/195)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-10))\/((-12)\/(-24)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2025 - 64*o**3 + 3981 - 1956 + 60*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(6\/(-8)))\/(-4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.007 rounded to one dp?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dez when three letters picked without replacement from {e: 1, z: 1, g: 5, d: 2}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 440793872?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-70)\/56)\/(3\/(-4)). Find x, given that h*x**2 + x**3 + 0 + 2\/3*x = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12797592 and 8531728.\nAnswer: 25595184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(208) - (sqrt(208) + sqrt(208) + -3 + 3))*5 + -3)**2.\nAnswer: 200*sqrt(13) + 5225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3766722.\nAnswer: 2, 3, 627787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**3 + 37*a**2 + 1418*a - 299210.\nAnswer: 3*a**2 + 74*a + 1418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.477 - 0.098. Let f = l + -3.379. Put -2\/7, 1, f in decreasing order.\nAnswer: 1, -2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 967*x - 10635. What is the ten thousands digit of q(49)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, q: 3, k: 1, m: 6}. What is prob of sequence kt?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00021868455 to five dps.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 138120 and 15.\nAnswer: 138120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1032 + 6*i - i - 513 - 521.\nAnswer: 5*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x = -4*m + 23*x - 638, 2*m + 339 = -3*x. Round m to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -133\/2453?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 8) to base 14.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 58 = 4*s. Let r = 16 - -216. Calculate the greatest common factor of r and s.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - 2367*n + 28249. Determine u(12).\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - n + 3 - 2*n - 2*n + 2*n + (0 - n + 0)*(3 - 7 + 3) - 5 + 5 - 2*n)*(-583*n + 1552*n + 3261*n).\nAnswer: -16920*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x**3 - 19*x**2 + 2101*x - 10514. Give h(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 26\/(-78)*(-105)\/(-1085)\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-6))\/(5\/(-90)). Let z be (-3 + y)\/3 - 3. Suppose -3*s - 1128 = -3*g + 1738887, z*g - s - 2320005 = 0. What is g rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyw when three letters picked without replacement from {y: 10, w: 2}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3671780 divided by 4\nAnswer: -917945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 793995 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 - 17*m + 22. Is 22 a factor of a(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 1361.\nAnswer: 1361.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {u: 1, q: 2, n: 1, d: 2, j: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 865 and 162793.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58*c**5 + 156129*c**2 - 41185288*c wrt c.\nAnswer: -1160*c**3 + 312258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 474348003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 464764.8 nanograms?\nAnswer: 0.0000000004647648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -104204, -104179, -104134, -104069?\n\"Answer: 10*z**2 - 5*z - 104209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-97)\/2)\/(2\/(-4)). Let a = r + -1165\/12. Let s = -560215\/18 + 31115. Find the common denominator of s and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, g: 4}. Give prob of picking 1 g and 1 p.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) + (2*sqrt(84) - sqrt(84)))*-2)\/sqrt(7) - (sqrt(1728) - sqrt(1728)*1 - 2*sqrt(12)*-5))\/((1*sqrt(144) - sqrt(144))*-1 + 2*3*sqrt(144)).\nAnswer: -7*sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 176 - 84. Is y\/(-3)*(-6)\/4 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10753, -10752, -10751?\nAnswer: -10750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 3) + (-7)\/(-6). Let p = 3\/2 - v. Sort -0.3, p, -1\/3 in increasing order.\nAnswer: p, -1\/3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14673155*f**3 + 2612275*f**2 - 3*f - 2 wrt f?\nAnswer: -88038930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 + -60. Suppose 0*m + 20 = v*u - 5*m, -u - 3*m = -2. Suppose 4*r = -3*p + 805, 786 = u*r + 5*p - 214. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n = 7. Is 4\/(-14) + 471\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -74, -56, -12, 70, 202, 396?\n\"Answer: 2*f**3 + f**2 + f - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 5 (c) 195 (d) 0.3 (e) -1\/4 (f) 1\/7 (g) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 8*o = 4*o - 8, 2*t - 3*o - 1 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 3087?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, w: 3}. Give prob of picking 1 i and 2 w.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2096\/24127 - -2\/24127. Find the common denominator of b and (-2)\/12*(-76)\/6.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 622 + (6 - 10\/5). What is the common denominator of d\/(-468) - 24\/(-108) and -65\/16?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8759790 + -22?\nAnswer: -8759812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -56 + 31 + 24 + 0*z**3 - z**3. Let y(w) = -2*w**3 - 1. Let m(t) = -t**2 + 5*t + 1. Let q be m(5). Calculate q*o(b) - y(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (1 - 12) - (-5 - (-3 + 12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 717 = 171. Let p be 8\/(-14) - (-234)\/m. What is the third derivative of -589*c**2 + 12*c**5 + 0*c**5 + 615*c**p wrt c?\nAnswer: 720*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1\/3 (b) -5 (c) 0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 4*j = -164. Let c = -229 - -239. Let f = j - c. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 1 + 0 + 2. Suppose 0 = -w*s - 4*s + 8. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 4:21 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/35 equal to -89659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(60\/8)\/15?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 490048 and 1225120.\nAnswer: 2450240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + -1)*4 + (1 + sqrt(252))*-5 - ((sqrt(252) + 0 + sqrt(252))**2*5 + (sqrt(252) + sqrt(252) + -1 + sqrt(252) + -2)**2)) + 0.\nAnswer: -7326 + 102*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 3*u**2 + 1)*(-4*u + 3*u + 2*u).\nAnswer: 3*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 j when three letters picked without replacement from teojeknok.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11359 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -94*v + 10. Let r(i) be the first derivative of -31*i**2\/2 + 3*i - 2991. Determine -3*h(d) + 10*r(d).\nAnswer: -28*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 23\/2. Let z be (84\/392 - (-5)\/(-105))*(2 - 5). What is the nearest to z in 2\/5, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.008662 - 0.0542. What is w rounded to four decimal places?\nAnswer: -0.0455","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7074.5+3\nAnswer: -7071.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q - 14. Let c be u(12). Let o be 2\/(-10) + c\/(-10). Suppose o = -k - 5*l + 13, -3*k + 65 = -l - 38. Calculate the remainder when k is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 10*h**3 - 3*h**2 + 3*h + 1. Suppose -148*c = -109*c - 117. Let y(u) = -u**3 - u**2 + u + 1. Give c*y(g) - v(g).\nAnswer: -13*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 383.8026 weeks?\nAnswer: 3868730.208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52505 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 divided by -6531?\nAnswer: 13\/2177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 5:02 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c. Let i(f) = f. Let r(u) = 14*i(u) + 4*x(u). Let y(w) = w. Give y(r(l)).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8\/131 + 1601\/2620. Let h(w) = -2*w**3 + 31*w**2 - 19*w + 59. Let l be h(15). Find the common denominator of l + -5 - 1696\/128 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 81*u**2 + 1358*u - 7895. Give s(-96).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11388.\nAnswer: 2, 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00167906604 rounded to seven decimal places?\nAnswer: 0.0016791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.066 - -37.116. Let a = 37 - d. What is the second biggest value in -4, -3, a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**3 + 54*n**2 - 174*n + 294. Give m(-21).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 13*h + 311. Calculate p(-24).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 - 3*h**2. Let m be s(2). Suppose -2*t = 3*b - 93, 114 = t + 2*t - m*b. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*x + 19*x + 260. List the prime factors of 4\/x - ((-156398)\/26)\/11.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 5. Solve -3*k + 32 = r*d, 5*d = -3*k + 20 + 17 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1985926 rounded to the nearest one thousand?\nAnswer: 1986000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-10)*((-15)\/51)\/((-88)\/748)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0578 * 90.\nAnswer: -5.202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 933643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 30*t**2 - 2*t + 62. Let q be x(30). Suppose 3*j + q*u - 822 = 6, j - 4*u - 290 = 0. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 89*y - 7921\/2 - 1\/2*y**2.\nAnswer: -(y - 89)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1)**(-30) assuming y is positive.\nAnswer: y**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 8. Let x = d - 12. Let u = 4 - x. Put 5, u, -0.2 in decreasing order.\nAnswer: 5, -0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1235278309 to the nearest integer?\nAnswer: 1073","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -454\/3 + 911\/6. Factor s*f + 1\/2*f**2 + 0.\nAnswer: f*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 7*c = -h + 12, -h - 4 = -4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 66435908?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.09 + -10.09. Let v = 131 + -130. What is the nearest to g in v, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o. Let k be s(4). Let x(f) = -f**2 + 4*f - 7. Let n(i) = i**2 - 5*i + 6. Let w(v) = -v - 6. Let u be w(-9). Let a(m) = u*n(m) + 2*x(m). What is a(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112 + -212. Let j = t - -105. Solve 0 = 7*m - j*m + 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -34. What is the highest common divisor of c and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hofhoooorffrofoofof. Give prob of sequence ohf.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-3)\/2)\/((-27)\/36)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) -0.3 (b) -6\/19 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1253.7*63122\nAnswer: -79136051.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (697 - 697 + 40*w)*(0*w**2 + 4*w**3 + 2*w**2 + 0*w**3) + (-2*w - w**4 + 2*w)*(1 + 0 + 1).\nAnswer: 158*w**4 + 80*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -774*y**4 + y**3 - 466*y**2 wrt y?\nAnswer: -18576*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 14*d - 9. Let y(l) = 7*l - 8 + 0*l - 2 - 9 + 14. Determine 6*v(o) - 11*y(o).\nAnswer: 7*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 + 9 - 8 - 2*q**3 - 141*q**2 + 155*q**2 + 3*q**3 in the form b*q**3 + x*q**2 + h + t*q and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129793*u - 129792*u - 101 + 101 + 259609*u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 + -8?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -36*2*(-2)\/8 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 49179, 196623, 442353, 786369, 1228671, 1769259?\n\"Answer: 49143*m**2 + 15*m + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 544?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -13 - (-122 + 127)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 58*y - 52*y + 8312*y**3 - 8323*y**3 - 6*y.\nAnswer: -11*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 13 = 5*w. Let p(k) = 4 + k**2 + 7 - 11. Let l(b) = -5*b**2 - 2. Give w*p(s) - l(s).\nAnswer: -s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 - 27. Suppose g = m - 25. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a + 4. Let i(d) = 4*d**3 - d**2 + d. What is the remainder when g(-9) is divided by i(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -177*o*t**2 - 58865220*o*t - 139655*t**3 wrt t.\nAnswer: -354*o - 837930*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5658 and 1642706.\nAnswer: 4928118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -211, 0, 1, 127, 2, 5 in decreasing order.\nAnswer: 127, 5, 2, 1, 0, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -4 (b) 0.8 (c) 0.2 (d) -5 (e) -290\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than -2212\/13159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 300131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**5 - 2*y**5 + y**5 + (0 + 0 + 2*y**5)*(3 - 2 - 2) - y**5 - 3*y**5 + 3*y**5 - 236*y**5 - 797*y**3 + 797*y**3.\nAnswer: -240*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-6)*j))\/j**(-2\/3)*j**(-3)*j**(-2\/9)*(((j**(-5)*j)\/j)\/j*((j**1*j)\/j)\/j)**(-5\/11) assuming j is positive.\nAnswer: j**(611\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2304)\/(-19200))\/((-9)\/5475)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6*-2)\/(0 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-24) - 0\/1. Which is the nearest to -9? (a) y (b) -1\/7 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4275438515.\nAnswer: 5, 89, 9607727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -127.326215 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - 29*o + 114. Give r(24).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*q + 16486 - 16068 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2682 - 3312 = -4*k, w - 5998 = -4*k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-16 + 25) - (-10 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/276?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 3 (c) 12\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-10)*2*(-34)\/(-68).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, l: 2}. What is prob of picking 3 l and 1 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of a**6\/120 - a**5\/30 + a**4\/12 - a**3\/2 + 80*a**2 + 3*a - 16. Let p(q) be the first derivative of v(q). Give p(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -150*m**2 - 3*m + 50. Let i(f) = f**2 + f + 13. Calculate 4*i(t) - s(t).\nAnswer: 154*t**2 + 7*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1252*f**3 - 1462*f**3 - 1042*f**3 + 1256*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -21.\nAnswer: -21, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -5. Suppose 0 = -0*q - o*q, -2*b - 5*q + 10 = 0. What is the smallest common multiple of b and 19?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 23. Calculate the least common multiple of 9 and 4*(y\/12 - -2).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - q**2 + 3)*(-2 + 2 - 8)*(-167*q**2 + 67*q**2 - 66*q**2) to t*q + k + r*q**2 + a*q**4 + y*q**3 and give a.\nAnswer: -1328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 4 - 2*p - 3 + 6 to q + f*p and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 46515606 take away 220479.7?\nAnswer: 46295126.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-25771\nAnswer: -2577.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 697 - 3?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9457 is divided by 220.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 43599817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 16*b + 7. Let j be r(-16). What is the greatest common divisor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**3\/13 + 5150*n**2\/13 - 574608*n\/13 - 1770120\/13 = 0.\nAnswer: -2682, -3, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8822.332 centuries?\nAnswer: 882.2332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 777030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.013307728836 and 11.\nAnswer: 11.013307728836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -462*l + 124 = -460*l - 4*t, 4*t - 172 = -2*l. Which is smaller: l or 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.25 + -7. Let h = x - -1.25. Let k = 3 - 1. What is the second smallest value in 1, k, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -18. Suppose -4*g + g + w = 0. Solve l = -3*x + 19, 0 = 3*l - g*l + 2*x - 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.22 - -0.12. Which is the closest to -6? (a) -1 (b) -4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 122792.921 to the nearest 10.\nAnswer: 122790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 674765 and 25211?\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-6 + 3 + 1)*(59*s**2 + 39*s**2 + 86*s**2 - 2*s**2).\nAnswer: 728*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2050 + 12?\nAnswer: -2038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -45, -44, -45, -48, -53, -60?\n\"Answer: -u**2 + 4*u - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**4 + 1145*k**3 - 65665*k**2 + 556555*k - 492030 = 0.\nAnswer: 1, 9, 77, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(4\/(-10))\/(1802\/(-265))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50)\/(-6) - (-87)\/(-261)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k = -11*k - 3*c - 19, 0 = -5*k + c + 25 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**3 + 23*r**2 + 4*r - 9. Calculate v(12).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 65*j**2 - 12*j + 55. Let q be x(-32). Suppose -q - 84927 = -26*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/(-2))\/(2\/(-32)). Let s = 44 + v. Is 19 a factor of (-506)\/(-7) - (-8)\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 13, t: 6}. What is prob of picking 3 u?\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/7514 or -151?\nAnswer: -151","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12 - 153663553?\nAnswer: -153663565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 4)*(-4*x - 2*x + 7*x) + 7*x - 15*x + 22*x + (1 + 0 + 1)*(-2*x + x + 3*x) - 26*x + 2*x + 14*x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, 4, -10, -3, 0.5 in decreasing order.\nAnswer: 4, 0.5, 2\/19, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 67905.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -4*s, 9*d - 14*d = -s + 30 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 13 - 7 = 0. Suppose 1 = -2*f + 2*p - p, h*f - 2 = p. Let v be 5*3*14\/315. Which is the closest to v? (a) f (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 149858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54379 - 54375. Let b(i) = i**2 + i - 2*i**2 + 0*i**2 + 36 - i**3. Let a be b(0). Calculate the greatest common divisor of v and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1407085?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 4 + (-1 - 3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pgqp when four letters picked without replacement from {q: 6, p: 3, g: 6}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 10*s**2 + 107*s + 3. Is l(-52) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 595989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = q + 32, 2*p + 34 = -24*q + 19*q. Let n(v) = -12*v**3 + 5*v**2 + 7*v - 7. Let c(a) = 11*a**3 - 4*a**2 - 6*a + 6. Give p*c(l) - 6*n(l).\nAnswer: -5*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3642282.18 rounded to the nearest 100?\nAnswer: 3642300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 + 74. Suppose 15 = -3*k - 9. Let i = 21 + k. Calculate the highest common divisor of o and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/4)\/(920\/18400).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1015\/4 + 763\/3. Let g(p) be the second derivative of 0 - z*p**4 + 3*p - 1\/3*p**3 + 0*p**2. Find the second derivative of g(u) wrt u.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 1. Let f(o) = 218*o + 224*o - 447*o - 4. What is f(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a century in decades?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, s: 2, b: 5}. What is prob of picking 2 b?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 624198475?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 107 and 76291.\nAnswer: 76291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 64 = 5*o, -o + 5*o - 53 = 3*w. Suppose -18*b - 49700 = -o*b. What is b rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 89799 and 74703.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 37262?\nAnswer: -37263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microgram in nanograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 3*k**2 - 6*k - 6. Let l = 4 - 8. Let d be q(l). Suppose -d*s + 0 + 8 = 0. Solve 3*y + 11 = 4*i, -s*i - 5*y = -1 - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21 or 70?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12004, 23, -41, -4 in decreasing order.\nAnswer: 12004, 23, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 + 66. What is the remainder when w is divided by ((-6)\/9)\/(1 - 123\/117)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14133*x**2 - 7196*x**2 - 6938*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 335952, 671906, 1007858, 1343808, 1679756, 2015702, 2351646?\n\"Answer: -x**2 + 335957*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -4*c + b, 5*c + 5*b - 5 = 5 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are 294\/977 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-380)*-133*(3\/1)\/((-120)\/(-12)).\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1333011301 + -10?\nAnswer: -1333011311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 413 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10 * -1987628\nAnswer: -19876280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 33\/5 of a milligram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (121*x + 154*x + 144*x - 54*x + 322*x)*(-2 + 1 - 2).\nAnswer: -2061*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-4)*24\/15. Solve -w*j - 15 - 5 = -4*p, -20 = -5*p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t - 3*t**4 + 9 + 7 - 14 in the form v*t**4 + g*t**3 + x + j*t + w*t**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -547*f + 4366. Determine s(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -6*v + 6. Let l(c) = 2*c - 2. Let i = 2151 - 2149. Determine i*x(g) + 7*l(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - t = 35, 5*t + 21 = -2*y + 8*t. Sort 13, 0, y in descending order.\nAnswer: 13, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2891901683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5, -15, -27, -41, -57, -75, -95?\n\"Answer: -p**2 - 7*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*y = -102. Let h be 3 + 0\/(-9) - (-1 - 3)\/4. What are the prime factors of (y\/h)\/(28\/(-336))?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 1 = -26. Let z be ((-310)\/(-620))\/(5\/(-2)). Which is the third biggest value? (a) w (b) 4 (c) z (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-3))\/(6\/48*-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-86)\/(-140) - (-10 + 6)) + 30\/300. What is the biggest value in 9, h, -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 56. Let l = 40 + m. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7946 is divided by 7940.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 17913.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 482999652.07 - -2.\nAnswer: 482999654.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from enennnnnnnenenenenn. What is prob of picking 4 n?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * -0.3.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 - 5)*(-3*i - 7*i + 2*i)*(-36 + 47 - 34).\nAnswer: -1288*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -7*l + 7. Let w(t) = 4*t - 4. Suppose 4*y = 7*f - 2*f + 132, 0 = -y + 5*f + 48. Let z = y - 33. Calculate z*w(m) - 3*n(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.58 - 0.02. Let u = f + 0.6. Which is the nearest to 0? (a) 1\/4 (b) -5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 6*a + 2*s - 7 = 0, 3*s = -4*a. Suppose 0 = 2*y - 1 - a. Calculate the remainder when 7 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2702*s - 1386*s - 1328*s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w = 15056 + 30454. List the prime factors of w.\nAnswer: 2, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8773\/(-620) - (-14 - -4) and 109\/360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 - 21. What is the lowest common multiple of 26 and x?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -397 (b) 51\/13 (c) 0 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 18 = 2. Suppose -b*c = -3*o - c + 42, -5*o = c - 82. Let r(f) = o - 5*f - 4 - 13. What is r(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.82 - -2.48. Let f = -20 + 17. Let i = h + f. Which is the second smallest value? (a) 2 (b) 2\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**9*g*g)**14 assuming g is positive.\nAnswer: g**154","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*i + 12 = 0, 5*n + 2*i = -i + 43. Let z = 14 - n. Calculate the smallest common multiple of 2 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -165303 and -8?\nAnswer: 1322424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 132*t + 69*t = -65*t - 52, 13*f = 5*t + 169 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**4\/5 - 66*g**3\/5 + 2727*g**2\/5 - 15844*g\/5 - 110976\/5 = 0 for g.\nAnswer: -96, -4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 112314031 (base 6) to base 15\nAnswer: 2b0c31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 201.54 + -0.54. Let l = 182 - t. What is the third smallest value in 0, 2, l, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 7 (b) -3\/5 (c) 0.3 (d) 3\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*f**3 - 478987*f**2 + 5*f - 8866360 wrt f.\nAnswer: -198*f - 957974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 98324844.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (5 + 13 - 46)) + 9.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 10:35 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31 + -580240?\nAnswer: -580208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/27*387\/(-301))\/(1\/(-7))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*a*b**3*j**2 + 1055*a*b*j**2 + 12*b**3*j**2 + 1874*b**3*j wrt a?\nAnswer: 8*b**3*j**2 + 1055*b*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 3 (c) 150\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 5. Suppose s = -b*s. Let n = s - -14. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -940 by -10.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a0 + 211?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of p**8\/140 - 7*p**6\/60 + 29*p**3\/3 - 47. Let b(c) be the third derivative of g(c). Find the third derivative of b(w) wrt w.\nAnswer: 288*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6897250 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2 + sqrt(12)*-5)**2.\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2292? (a) 2\/9 (b) 916 (c) -3 (d) -4 (e) -1 (f) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 1 (b) -3\/7 (c) 1\/446\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-285119904)\/216 - 4\/9. Round l to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1719, -4814, -9443, -15606, -23303, -32534?\nAnswer: -43299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-4))\/(3*5\/(-30))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*i + 44*i = -5. Let w(s) = -s - 4. Let n be w(-6). Put -1, 4, i, n in increasing order.\nAnswer: i, -1, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 48*z + 628. What is f(59)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 10 and 8079351.7017.\nAnswer: 8079361.7017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h - 22. Let z(b) = -b + 1. Let l(g) = -j(g) + 3*z(g). Let x be l(13). Suppose -a + 216 = 4*d + a, 3*a = x. List the prime factors of d.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**(2\/9)*r)\/r)**25*r**(2\/3)\/r**(-2\/17) assuming r is positive.\nAnswer: r**(4795\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 288*z - 65 = -283*z, 7*z - 2*z + 25 = v for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d**(-2\/17))\/(d\/d**(-4)*d))\/(d**(-5)*d\/(d\/d**(-7))))**(7\/9) assuming d is positive.\nAnswer: d**(91\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -443, -741, -907, -947, -867, -673, -371, 33?\n\"Answer: -s**3 + 72*s**2 - 507*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11990.\nAnswer: 2, 5, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -163, -362, -631, -964, -1355?\nAnswer: -1798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-4\/3)*x*x**9*x)**(-14\/3))**22 assuming x is positive.\nAnswer: x**(-8932\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 142a2 (base 15) in base 3?\nAnswer: 10021210022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -d2 (base 14) in base 8?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36760 = 41*w - 31*w. List the prime factors of w.\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-1)\/(-3) + 21\/(-36)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -56.73?\nAnswer: 57.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.08 + -0.02. Let q = -6 + 10. Which is the biggest value? (a) q (b) g (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3438 - 3249. Calculate the remainder when 1685 is divided by v.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 1013*d - 136. Let k(n) = -506*n + 59. Give 7*k(o) + 3*x(o).\nAnswer: -503*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ocktvkf. Give prob of sequence kcfk.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26*9\/6 - -2?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 744329.\nAnswer: 37, 20117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1326.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -12*r**4 - 152\/5*r**2 - 18\/5*r**5 + 24\/5*r + 0 + 262\/5*r**3 = 0.\nAnswer: -6, 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 21. Determine k(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14703, -58797, -132287, -235173, -367455, -529133, -720207?\nAnswer: -940677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 13, -7, 48, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -210 + -204?\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 4*l**2 - l + 37. Let n be f(0). Is ((-196)\/(-7))\/(1*2\/n) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 77*w**2 + w. Is n(-1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23827 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: Simplify (4*(sqrt(72) + 1 + sqrt(2) - 5*sqrt(8)\/sqrt(4)))**2.\nAnswer: 64*sqrt(2) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*d = 2*m + 57, 3*d = 5*m + 111. Calculate the remainder when 164 is divided by (-1328)\/m + 7\/(-21).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 - -49. Let b be (-15 + 18)*y\/(-3). Let n = b + 16. Solve c + c = -n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40266.0505 to the nearest 1000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 104933 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -56033, 3, -0.2, -4, 0.4 in decreasing order.\nAnswer: 3, 0.4, -0.2, -4, -56033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.1 - 10.2. Which is the closest to m? (a) -32 (b) -1\/6 (c) 2.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*q + 16 - 16 to d + m*q and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1136865 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 9433700 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**2 - 4. Let l(j) = -j**2 + j. Let k(t) = -h(t) + 5*l(t). Let c be k(5). Suppose 4*d + 24 = c*n, -3*n - d + 2 = -0*d. Solve n*a = 6*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3137221 or -3137253?\nAnswer: -3137221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 51*f**2 + 933*f - 2816. What is p(3)?\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ulx when three letters picked without replacement from lxuzuwlpw?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 243\/7 + -2194\/63. Let h = -0.3 - 0.2. Put -2\/5, t, h in increasing order.\nAnswer: h, -2\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61274?\nAnswer: 2, 30637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2184\/457002)\/((-16)\/36).\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**4\/7 - 114*o**3\/7 - 382*o**2\/7 + 318*o = 0. Calculate o.\nAnswer: -53, -7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 4*i + 9, -4*i - 2 - 2 = 4*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.882764 - 1.878. What is s rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from lllllllllfllifillil?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**3 + 20*p**2 - 5*p - 5. What is s(9)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 573 - 569. Let o(r) be the third derivative of -r**2 + 4\/3*r**3 + 0 + 0*r + 3\/8*r**n. What is the first derivative of o(h) wrt h?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 59*p - 236. Suppose 26*r = 6*r + 220. What is the remainder when v(r) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(3\/4)*a**(2\/9)\/a*a)\/(((a*a**(5\/4)*a)\/a)\/(a\/a**(-21)*a)) assuming a is positive.\nAnswer: a**(409\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, 11.17, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 + 14.11. Let p = v + -0.01. Let m = -3 - 2. Which is the closest to p? (a) 1\/4 (b) m (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 0*s - 2*s)*((5*s**2 + 7*s**2 - 4*s**2)*(1 - 1 - 2*s) - 3*s**3 + 0*s + 0*s).\nAnswer: -19*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -12.9+-1106.1\nAnswer: -1119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, t: 1, g: 2, m: 1, u: 2, q: 2}. What is prob of picking 1 u and 1 q?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-2)\/(-20))\/((-216)\/(-80)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 17686*r = -17688*r - 7, 0 = -2*v + r + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 367589570 a multiple of 415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 4*a + 2014 = -5*j + 1934, 4*a + a = j - 97 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 1 + 2)*(-7 - 7 + 13 + 6*p) to v + r*p and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v + 1. Determine z(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.001014cm in micrometers?\nAnswer: 90010.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 264 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of b**6\/360 + 7*b**5\/120 + 274*b**3\/3 - 95. Let i(f) be the third derivative of r(f). Determine i(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-200)*8\/6. Let u = t - -49\/75. Are 0 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*v - 3 + 5*v - 6*v)*(4 - 32 - 2)*(-4 + 1 + 1) to the form p + g*v and give g.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 15488.\nAnswer: 15488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1178, 2031, 2884?\nAnswer: 3737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.2 + 3. What is the biggest value in o, 3, 2\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 7:54 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 1:36 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1247 - 1246.9679. What is c rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 4*l. Suppose -23 + 19 = 2*s. Let n(u) = -u**2 + u. Let g(q) = s*n(q) - h(q). Suppose g(k) = 0. What is k?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6047, -12427, -18807, -25187, -31567?\n\"Answer: -6380*s + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*o = 226*o + 11. Suppose 2*v = s + o, 7*v - 4*s = 4*v + 4. Solve v*p - 9*p = 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 12\/7 of a week?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -86\/15 - -391\/90. Suppose 9*c + 664 = 5*c. Find the common denominator of 6\/12 + c\/(-48) and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 2)\/((-5)\/15)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -314*a**2 - 190*a**4 - 146*a**4 + a + a**3 + 347*a**4 as p*a**2 + y + d*a**4 + k*a**3 + m*a and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(52) + 2*sqrt(468).\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*k = 38, -3*a + k + 0*k + 36 = 0. What is the lowest common multiple of a and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 2, p: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 2*h - 844, -295 = 4*u + 4*h - 959. Determine q, given that 9*q**5 + 264*q**2 + 8*q**4 - 60*q**2 + 21*q**5 + 13 - 1 - u*q**3 - 86*q = 0.\nAnswer: -3, 1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u - 6 = s, 0 = -4*u - s + 10 - 16. Solve 2*m + k - 2 = u, 5 = 2*m - 2*k + 9 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9 - 1)*(-9)\/5 - 0. Let u be (-16)\/(-12) - 164\/(-12). Solve u*f**2 - o*f**5 + 25*f**4 + 10 - 50*f**2 + 5*f**3 + 5*f + 8*f**5 = 0 for f.\nAnswer: -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25306489?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1074712?\nAnswer: 2, 134339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x + 2 = 22*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**2\/11 + 14*r\/11 - 20\/11 = 0 for r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4\/5, -3, 1\/4, -3\/4 in decreasing order.\nAnswer: 1\/4, -3\/4, -4\/5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2 - 3*j**2 + 8 - 2 - j**3 + 8*j - 1. What is t(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6935.\nAnswer: 5, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - w - 20. Let d(i) = -2*i**3 - 22*i**2 + 2*i + 25. Let b be d(-11). Does 3 divide (w\/b)\/((-30)\/(-225))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oqooqoooooooo. What is prob of sequence oqqo?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.045 minus -273763861577?\nAnswer: 273763861577.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/325 + -668\/2925. Which is the third biggest value? (a) h (b) 4\/11 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 19 + -5 + -5 - (3 - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppptt. What is prob of picking 1 p and 1 t?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (0 - (1 + 1)) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 27 (c) -11 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-46)\/(-14) + (-4)\/14. Suppose 3 = -2*f - t, -2*c - f = -15. Let o = c - 5. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -494 (b) 48 (c) -2\/3 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 7 = 11. Suppose 7*l - 3*l = -w + 61, w = l - g. Calculate the least common multiple of l and -2 + (-95)\/(-10) + (-1)\/(-2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/3*(-63)\/28. Let x be (-6)\/9 - 16\/g. Solve 8 = -5*w - x*q - 7, 5*w = -5*q for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -1803*b - 6270. List the prime factors of y(-12).\nAnswer: 2, 3, 13, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (62 - 66) + (0 - 5) + 1 + 0\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*s + s + 5*s)*(-2*s - s + 0*s) + s**2 + 0*s**2 + s**2 as r + b*s + l*s**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2213636?\nAnswer: 2, 37, 14957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*f - 76 = -5*i + 119*f, -5*i + 3*f + 79 = 0 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 352 = 5*h. Suppose 44 = 5*i - 101. Let m = -21 + i. Calculate the highest common divisor of h and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 12:28 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*63988.98\nAnswer: -6398.898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3206.67ms in microseconds?\nAnswer: 3206670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112021211002 + 2?\nAnswer: -1112021211000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3 and 259151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = -14*o. Do -1\/406 and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 122, 196, 288, 404, 550, 732?\nAnswer: 956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**4\/9 + 44650*j**3\/9 - 28188050*j**2 - 50728433250*j + 581090379127500 = 0.\nAnswer: -3910, 8745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1045454?\nAnswer: 2, 463, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68627*j + 54 = 68600*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23450, 95383, 215272, 383117, 598918?\nAnswer: 862675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.20304 * 496\nAnswer: 596.70784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6530373981 to the power of 1\/6, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -177\/5 + 35. What is the second biggest value in -1\/2, r, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 6*s + 2. Give d(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 88 - (-3 + 16) - 100\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*((0*q - q + 2*q)*(-2 + 5 + 0) + (-4*q + 4*q - 2*q)*(-1 - 41 - 4) - 1 - 2*q + 1).\nAnswer: -93*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 4) to base 5\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -3\/2. Let a(p) = p + 8. Suppose -i = -3*i - 16. Let j be a(i). Do l and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -22, -22, -22, -28, -46, -82?\n\"Answer: -c**3 + 6*c**2 - 11*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2*o = -g - 4, 5*g = 3*o - 16. Which is the closest to -3? (a) g (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-7))**(4\/9)*(f*f**(-1\/11))**(-6\/7))**(-15) assuming f is positive.\nAnswer: f**(13480\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in 3, -58822, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1778719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**3\/9 - 124*x**2\/9 - 2146*x\/9 - 6728\/9 = 0. What is x?\nAnswer: -29, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12233 (base 4) to base 12\nAnswer: -2bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1511 - -1.24487. What is o rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18 + (-18 - (-10 + -3)) - -11) + -51\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*b + 39 = 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i + 12*i + i**2 - 3 - 2*i + 2*i - 5*i. Let z(x) = -4*x**2 - 10*x + 10. Calculate -10*c(b) - 3*z(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 19. Let q be r(-18). Is q smaller than -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 + 9*i**2 - 12*i - 8. Let g be y(-10). Suppose -180 - g = -4*x. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 522351844?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**14*n*n)\/n**(-1))\/(n\/(n\/((n*n**(-11\/5)*n)\/n*n*n)))**4 assuming n is positive.\nAnswer: n**(74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c**3 + 6*c**2 + 5*c - 4. Let t be s(-3). Suppose 107 = 3*g + 4*a, 5*g - t = -4*a - a. Solve -z - 2*z = -5*v - g, -5*v = -z + 23 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 10 = 3*d. Find the common denominator of -95\/22 and d + 94\/32 + 2.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -5, -1, -0.4, 2\/5, -0.413?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -23.798?\nAnswer: 23.398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 1:01 AM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + -8)*(-4)\/(-8). Let y(f) = -f + 8. Let m = 5 - -1. Let w be y(m). Sort -5, x, w.\nAnswer: -5, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.88783236 rounded to 0 dps?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**3 + 8*i**2 - 8*i - 47. Determine b(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) -2\/7 (c) -69 (d) -2 (e) -2\/15 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2165562359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14618614.8 rounded to the nearest 100?\nAnswer: 14618600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6656, 25531, 56990, 101033, 157660, 226871?\nAnswer: 308666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 3) + (-11 - -8) - (-25 + 10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three quarters of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 7*u - 9. Suppose -3*t - t - 32 = 0. Let z be b(t). Let o = -6 - z. Let q(k) = -k - 7. Calculate q(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*h + 21*h + 12*h as b*h + j and give b.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -587, 1, -33, 19 in descending order.\nAnswer: 19, 1, -33, -587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -r + 2*v - 6, 4*v - 10 = -r. Let h(u) = 0*u**r + 0*u**2 - u**2. Let z(w) = 5*w + 65 - 65. Determine z(h(p)).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1075)\/(-172))\/((-10)\/4)*2*-3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 12. Suppose -p + 9 = -3*n, 0 = -2*p - 0*p + 3*n + i. Let c = p + 6. Calculate the remainder when c is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 733 + -367. What is the remainder when t is divided by 353?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365 = -655*g + 14120 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -1. Let s be 8\/(5*m\/(-10)). Suppose 210 = k + s*k. Calculate the highest common divisor of 6 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/35 and 6\/485.\nAnswer: 3395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 = x - 3*u + 120 - 55, -u + 4 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 5*y + 5*y)*(-6 + 3 + 1)*(1 + 2 - 5)*(573 + 1832*y - 1686 - 1831*y).\nAnswer: -4*y**2 + 4452*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/40 and -35\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -94 + 101. Suppose 3*c + 4*z = 1445, -2*c + 4*z = n*z - 964. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -158 - -158.3. Which is the nearest to 0? (a) -3 (b) s (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**2\/2 + 52200*a + 104399\/2 = 0.\nAnswer: -104399, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4a + 84?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 11*p**2 - 3266*p - 10214. What is q(300)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + m + 3. Let a be j(-2). Suppose -a*k + 13 + 2 = 0. Solve -3*u = 6, 5*l - k = 3*u + 23 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5586695757?\nAnswer: 3, 620743973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 - -31 - 35 - -37.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 6*h**2 + h - 1. Let a be d(6). Suppose -156 + 1026 = -a*o. Round o to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 588701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/19)\/(a\/a**(-2\/9)))**(-28\/5) assuming a is positive.\nAnswer: a**(6104\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 263778 divided by 87926.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9837, -10507, -11177, -11847, -12517?\nAnswer: -13187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 15830 = -8*o. Let w = -2115 + o. Suppose 3*t - 5*m + 569 = -66, w = -5*t + m. What is t rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -2*o + 3*o - 13, -3 = m. Let l be o\/(-8)*4\/3. Let v be 1*(1 - 2)*3. Sort l, 2\/5, v in decreasing order.\nAnswer: 2\/5, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1638.0000573 + -1638. Round g to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + ((0 + sqrt(396))**2 + 5 - ((-6*-2*sqrt(396))**2 + sqrt(396))) + -1)*-2.\nAnswer: 12*sqrt(11) + 113248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1932 - 223.9932. Let n = f - -223. Let q = 0.2 + -0.6. What is the second biggest value in n, -1\/4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*u - 36*u. Suppose 5*o = -4*n + 26359225, -5*n + o + 32949020 = -4*o. Suppose u = -9*v + n - 109189805. Round v to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*k = -8. Let d = -5821 - -28814\/5. Let j = d - -58. Which is greater: j or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 - 10. Let f(s) be the third derivative of -s**4\/6 + 3465*s**2. What is f(a(k))?\nAnswer: 8*k**2 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 0.1, 3 in decreasing order.\nAnswer: 16, 3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -265 + 166. Let k = l - -141. Calculate the highest common factor of 28 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2))\/(232\/48 + -5). Suppose 5*i - 2751 = -4*t, -u*i = -0*t - 4*t - 1625. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-1 + -10 - 13) + -3 + -2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (819357\/132 + -27)*(1 - -7)?\nAnswer: 2, 59, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 137, 0, -11.7 in ascending order.\nAnswer: -11.7, 0, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -15819528 divided by -86\nAnswer: 183948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -66160*j**2. Let v(y) = -2*y + 12. What is v(s(c))?\nAnswer: 132320*c**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 0.05 (b) -1.01 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**2*k)**(-6))**(5\/9))**(1\/17))**(-3\/49) assuming k is positive.\nAnswer: k**(40\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mt when two letters picked without replacement from mpmmmmtttmtp.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 4934924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 12*p**2 - p - 12. Let u be q(-12). Suppose u*x - 2*x = -104. What are the prime factors of x?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 35\/11 - 2\/11. Suppose 4 = c*t - 5. Suppose s + 2*s - 60 = 0. Solve s = t*v - 7*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 372*c*r**3 - 58513*c*r - 98*r**5 + 3*r wrt r.\nAnswer: 2232*c*r - 1960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z - 2. Let x(j) = -j - 8. Let s(t) = -t - 15. Let h(q) = 3*s(q) - 5*x(q). Let b be 1 + (-24)\/(-15) + (-32)\/(-80). Determine b*h(r) - 7*g(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of 3*i**4\/8 - 5*i**3\/6 - 4*i**2. What is the first derivative of m(y) wrt y?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-27) - 2)\/(16\/(-24)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 11:34 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**4 + 25*v**3 - 5*v**2 - 105*v + 90.\nAnswer: -5*(v - 3)**2*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 7:32 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u. Let b(y) = 15*y**2 + 119*y - 2. Determine b(d(h)).\nAnswer: 60*h**2 + 238*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 242 and 6.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**6\/480 + 245*c**5\/48 + 15657*c**4\/4 + 15606*c**3 - 757*c**2. Let v(f) = 0. What is f?\nAnswer: -612, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 4. Suppose -20 = -4*l, -2*r + 61 = p*r + l. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-2\/11)*m)\/m*m**(-4)*(((m\/(m*m**(-1\/2))*m)\/m*m)\/m)\/m*m**5*m)**8)**(-1\/30) assuming m is positive.\nAnswer: m**(-34\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(0*w**4 - w**4 - 2*w**4) + 7*w**4 - 38*w**4 + w**4.\nAnswer: -27*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(162) - (sqrt(162) + (sqrt(162) - 1*sqrt(162)))) + (sqrt(162) + sqrt(162)*-2)*4)**2 + 5*(-1*sqrt(162)*4)**2.\nAnswer: 15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -1, -1\/8, 356\/3 in increasing order.\nAnswer: -1, -1\/8, 1\/2, 356\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -2b5ee42?\nAnswer: -2b5ee42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9460 = -7686*y + 105830 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -145*j + 259. Determine l(1).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 + -247\nAnswer: -247.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 11:36 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10736465.\nAnswer: 5, 41, 83, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -10. Suppose x*y = 6*y + 2*q - 2, 4*y + 4*q + 4 = 0. Let h(r) be the first derivative of r**4\/4 - 4*r**3\/3 + r**2\/2 - 15. Determine h(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-448)\/63)\/(1200\/(-54) + 22).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*v - 21 = -z, 4*v - 3 = z. Let g = z - 5. Let o be ((-6)\/g)\/((-10)\/(-40)). What is the biggest value in o, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**4\/8 + 3*v**3 + 147*v**2\/8 - 3*v - 18 = 0. Calculate v.\nAnswer: -4, -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 208, 1606, 5386, 12736, 24844, 42898, 68086, 101596?\n\"Answer: 198*a**3 + 3*a**2 + 3*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000433566462 to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a hour in seconds?\nAnswer: 180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 993627.\nAnswer: 3, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3680)\/(-3520) - (-4)\/(-8))\/(56\/11)?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (1815\/143)\/(-11).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 16 + 9*q + 32 as m*q + u and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g**3 - 16*g**2 - 7*g - 2. Let j(k) = -14*k**3 + 46*k**2 + 20*k + 5. What is -3*j(m) - 8*z(m)?\nAnswer: 2*m**3 - 10*m**2 - 4*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87587, 0, -2, -64, -1 in decreasing order.\nAnswer: 87587, 0, -1, -2, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 23127179 rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 404 = -s - 5*j, s - j = 134. Let l = -205 + s. Let u = l + 73. Which is the third smallest value? (a) 1.5 (b) 4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-1 + 10 + -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 5*a - 14, 3*a = -0*v - 3*v + 21. Suppose -a*z - 2*j = z - 612, 3*z = j + 365. Suppose -2*s = 4*c - z, 0 = 3*c + 5*s - s - 104. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o + 4. Determine x(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*k*m*w**3 + 13*k*m*w + k*w**3 - 6*k - 6*w wrt m?\nAnswer: -3*k*w**3 + 13*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*c**2 + 1 - 2*c**4 - 41*c**2 + 13*c**3 - 3*c + 2*c + 9*c**2 + 17*c**2 as v*c + o + l*c**3 + s*c**2 + j*c**4 and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -530 - -502.24. Let a = y + 30. Let i = a + -1.7. Round i to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -18, 4\/5, 0.4 in decreasing order.\nAnswer: 11, 4\/5, 0.4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 1495*t**2 - 5*t - 1495.\nAnswer: 5*(t - 1)*(t + 1)*(t + 299)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t*t**(1\/10))*t)\/t)**(27\/7) assuming t is positive.\nAnswer: t**(243\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*1 + -2 + 1. Let h(s) = 3*s**3 - 2*s**3 - s - 38*s**2 + 37*s**2. Let t(g) = -7*g**3 + 10*g**2 + 6*g + 5. Let y(q) = 6*h(q) + t(q). Give y(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1239 divide 3749214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -995372, -1990743, -2986114?\n\"Answer: -995371*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/5)\/(8\/40). Let p = 39 - b. Suppose 2*g - p = -17. What are the prime factors of g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (5 - (-2)\/(-1)). Let z be (9 - (-3)\/h)\/2. Suppose -52 = -4*p + 4*n, 4*p - 5*n = z*p - 5. Solve -5*x - 5 - p = 5*k, 4*x + 2 = k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjwjwjl. Give prob of sequence ww.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32 + -10020113?\nAnswer: -10020021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -3*u - 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-769 - 60*x + 465 - 990 + 62*x)*(-5 - 3 + 5).\nAnswer: -6*x + 3882","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.43519689 rounded to 5 dps?\nAnswer: -0.4352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33\/4, 127, 0.2, -1.47, -2\/5, 1 in descending order.\nAnswer: 127, 33\/4, 1, 0.2, -2\/5, -1.47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*a = -47, 0 = 2*d + a - 9 + 131. Let b be 3\/d - 2\/(-6). Let p = -17 - -17. What is the closest to 0.2 in b, -0.1, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1981*m + 4888*m + 660912 = -284*m + 409*m for m.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + -8 + 13 - 0 - 10) + -5?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4725, 9490, 14329, 19278, 24373, 29650, 35145, 40894?\nAnswer: 46933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -245522 - 4?\nAnswer: -245526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -685.1 - -685.028898. What is c rounded to 3 dps?\nAnswer: -0.071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 14. What is the second derivative of -368*a**2 + 368*a**z + 13*a - 15*a**3 wrt a?\nAnswer: -90*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9.6 + 1.9. Let l = y - -8. Suppose -5*s = 2*c - 25, -3*s + 2*c + 19 = 4. What is the nearest to 1 in l, s, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 12:17 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -1, 3, 111, -1265 in increasing order.\nAnswer: -1265, -1, 0, 3, 4, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 330*l - 63*l + 729711. Which is smaller: l or -2730?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144*f**3 - 128*f - 65*f + 193*f + 143*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23154, -46312, -69458, -92586, -115690, -138764?\nAnswer: -161802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4612.4 and -234.\nAnswer: 1079301.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -114 + 2\/1 - (1 + -2). Let d = a + 110. Let b = -619\/14 - -89\/2. What is the closest to d in b, -3, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 33*o - 31*o + 6 = 0, -4*z - 10 = 5*o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.1 - -11. Is 153 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 11:42 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1968 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6686 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 165.532 - 171.5. Let o = -6 - l. Round o to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 719 = -4*f - 806, 3*f = q - 1158. What is f rounded to the nearest 10?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -149.588296465 + -2.5\nAnswer: -152.088296465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q*q**(-16)\/q)*q**(-6\/13)*(q*q**(-8)*q*q)**(-2\/3) assuming q is positive.\nAnswer: q**(736\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) - (sqrt(475) + sqrt(475)*-1*-6))**2 + -2 + (-4*(0 + sqrt(475)))**2 + 5.\nAnswer: 24703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/6 and 1\/24*(-2136)\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d - 31. Determine w(27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 4. Calculate the common denominator of -123\/10 and 71*2\/24*w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2))\/k)\/k**(-2\/7)*(k**(-2\/5)\/k)**12*(k\/k**6*k**(2\/7))\/(k**0)**13 assuming k is positive.\nAnswer: k**(-673\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q + 24*q = -z + 164, -4*z = -5*q - 681. Calculate the remainder when z is divided by 45.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 903822?\nAnswer: -903824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -16*f - 2123. Let q be t(-133). Put -5, 11, q, -3, 4 in descending order.\nAnswer: 11, q, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 28 = -q, -3*l + 11 = 3*q - 1. Let z(b) = b**2 + 8. Let a be z(l). Let y = -40 + a. Solve 3*r = -y - 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 953.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 73876 (base 9) to base 14\nAnswer: 13b1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*s - 166*s - 213*s - 1125 = 0 for s.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*42\/(-1225)*10\/6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4*s**3 - 44*s**2 + 124*s - 84 = 0.\nAnswer: 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 + 0*a**3 + 21 - 26 + (0*a + a + 8*a)*(-5*a + 5*a + 5*a**2) to the form x*a**3 + t*a**2 + q + o*a and give x.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1267 (base 10) in base 15?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 44689484?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -307.5529059 to the nearest integer.\nAnswer: -308","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 25*q**2 - 4*q - 5. Suppose p + 2*p - 6 = 0. Suppose 0 = -3*f - p + 17. Let d be u(f). Round d to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 8:28 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-28755)\/(-27) - -2*4. Which is greater: i or 1074?\nAnswer: 1074","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 5 - (2 + -1 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011 (base 2) in base 11?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8824 - 4?\nAnswer: -3.1176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 10\/387989?\nAnswer: 10\/387989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/4)\/((n*(n*n\/(n\/(n\/(n**(-5\/8)\/n))*n)*n)\/n*n)\/n*n))**(-26) assuming n is positive.\nAnswer: n**(559\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -11*o**3 - 5*o**2 + 2*o. Let c(h) = -6*h**3 - 3*h**2 + h. Give 7*c(a) - 4*u(a).\nAnswer: 2*a**3 - a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -292 by 361.\nAnswer: -292\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 785960*t - 785960*t - 2*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/((q*q**(-4)*q)\/q)*q)\/q)**(-29)\/((q*q**(-6\/13))\/q**(-5)) assuming q is positive.\nAnswer: q**(-2334\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xb when two letters picked without replacement from {z: 2, x: 2, e: 1, h: 1, i: 2, b: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jr when two letters picked without replacement from ctcqtjtcctcqttccrc.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j + 577 - 477 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (323 - 62*g - 323)*(-1 - 2 + 1 - 5 + 2 + 5 + (-5 + 5 - 2)*(-1 + 1 + 2) - 3 + 0 + 1 - 1 + 0 + 3)*(5 - 4 + 2) in the form i*g + z and give i.\nAnswer: 744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*f - 10, -22*f = -24*f + 3*h - 5. What is the smallest value in 2\/15, 41, f, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*(-51)\/119*(-903)\/(-2064)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 7:03 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(300) + sqrt(300)*-2)*-2)\/(sqrt(60)\/sqrt(160) + sqrt(6)))\/((sqrt(20) - (-2*sqrt(220))\/sqrt(11))\/(-4*sqrt(32))).\nAnswer: -128*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 254597030 to the nearest integer?\nAnswer: 634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 10. Suppose 5*a + 3*y = -6, -3*y + 3 = x*a + 2*y. What is the units digit of 45 + -3 + a\/(-6)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - -2 - 0\/(-2). Suppose 0 = 5*n - 153 + 28. Solve j*d = -d - n for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 2*y + 2*y = 32, -y = 4. Let b be ((-16)\/k)\/(2\/(-3)). Solve 2*m = -b*m - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/4 and 18\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(209)*6 - -4*sqrt(209)*-1)*-2)\/((-1*sqrt(88)*-2)\/(sqrt(8) + (sqrt(288) - (sqrt(288) + sqrt(288) + sqrt(288)*-2 + sqrt(288))))).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 14\/11 + -31\/33. What is the smallest value in 29, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 11:36 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4426283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 1483?\nAnswer: 11864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 14*w**2 + 2. Let y be n(14). Let v be (52 - 50)*1\/y. Let d(c) = 7*c**2 - 2*c + 1. Determine d(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 - 55.9. Put j, 2\/11, -0.5 in increasing order.\nAnswer: -0.5, j, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -179869, -365526, -551185, -736846?\n\"Answer: -q**2 - 185654*q + 5786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 - 2*x - 5*x - 8*x**2 - 3*x**2 + 7*x.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (2 - 4) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 228100 and -53.5036.\nAnswer: 228046.4964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/18*-6*(-976)\/(-305)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/3*((-7353)\/(-903))\/((-6)\/(-14))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 6 - 12. Solve m = -5*z - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.7 plus 1.30628?\nAnswer: 7.00628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.23, 2\/21, 815, -1\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 15, 0.578451.\nAnswer: -21, 0.578451, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -27\/59, -5, -0.3, 30\/49 in ascending order.\nAnswer: -5, -27\/59, -0.3, 30\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2374*r**2 + 14064*r - 143744814?\nAnswer: 4748*r + 14064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 2*h + 26, 3*h - 5*j = -26 - 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1964396.63 to the nearest 10000.\nAnswer: -1960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(8\/11)\/j)\/j*j**(1\/14)*j assuming j is positive.\nAnswer: j**(-31\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z**4 + 0*z**4 - 6*z**4 + (1 - z - 1)*(30*z**3 + 562*z**2 - 562*z**2).\nAnswer: -31*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qnlclne. Give prob of sequence llne.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11051*g = 11047*g + 22840. List the prime factors of g.\nAnswer: 2, 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (380\/228)\/((-230)\/(-36) + -5)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15758112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from {z: 1, u: 3, k: 2, e: 6, g: 1, v: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 15. Let t(s) = s**3 + 12*s**2 + 21*s + 21. Let y be t(x). Let u be 3 + -2 - (1 - 2). Solve -3*c - y + u = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 637 and 10976.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 13 + 2)*(o**5 - 3*o**4 + 3*o**4).\nAnswer: -17*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 - 2*f - 4. Let l be w(-3). Let m = l - -31. Solve 0*s + 4*s - x - m = 0, 0 = 3*s + 3*x - 15 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 4:10 PM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**2 + 4*o**2 + 192 + o - 177)*(17 - 17 + 13*o**3).\nAnswer: 52*o**5 + 13*o**4 + 195*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*r**2 - 12*r**2 + 30*r**2 as w*r**2 + z*r + b and give w.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 690253666 to the power of 1\/3, to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19627, -19649, -19671?\nAnswer: -19693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, p: 1, j: 1}. What is prob of picking 1 j and 1 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*z - 2929 - 27*z + 7*z + 8*z + 3*z.\nAnswer: z - 2929","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*(0\/(-1) - -1). Let k(m) = -m**2 - m. Let i(o) = 2*o**2 + 4*o - 1. Let w(x) = -i(x) - 3*k(x). Let q be w(0). Solve -3*a - q + u = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263106?\nAnswer: 2, 3, 47, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - -0.3. Let k = -90 - -84.7. Let g = k + 2.3. What is the biggest value in g, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-2*sqrt(209) - 2*4*sqrt(209))\/(3*sqrt(539)*-3*6))**2.\nAnswer: 19\/35721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3)\/2*(80\/50)\/4 and (-15)\/3 - 1698\/(-369).\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 4*l = 99 - 1423, 5*l = 20. Let u be (b\/(-8))\/(2\/(-4)). Round u to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((o + 4 - 4)*(1 + 1 - 3) - 1 + 1 - o)*(12*o**2 + 35*o**2 + 29*o**2).\nAnswer: -152*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 - -58. Solve b - v + y = -0*b, -5*v + 11 = -3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2570?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*(y*(y\/y**(-2)*y)\/y*y*y)\/y)\/y)\/y)**(-5) assuming y is positive.\nAnswer: y**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 - 33. Let j = 250 - 184. What is the remainder when j is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -548*k**2 - 3*k**6 + 196*k**2 + 7*k**6 - 635*k**2 + 230*k**2 - 68*k**3 wrt k?\nAnswer: 480*k**3 - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*r**2 + 2 - 2)*((-1 + 2 + 1)*(-5 + 2 + 4) - 390 - 53 - 109) as x*r + h*r**2 + y and give h.\nAnswer: 3300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 39*a + 37*a + 34 = -14, -5*a + 98 = 4*z for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 - 30. Solve f = 15*k - 10*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -2*s - 3, -112*a - 6 = -108*a + 14*s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x + 17. Let n be v(-7). Calculate the common denominator of n*(-134)\/(-96)*(-16)\/24 and 13\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*k + 2158 + 166 = -28*k for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2435*h + 24 = 2440*h + 2*t, 5*h = t + 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a century in months?\nAnswer: 8880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 7. Let q be (32 + (y - -3))*1. Let p be 2\/(-11) - 93\/q. Sort -4, 1, p.\nAnswer: -4, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*k + 7082379 = 50*k - 3*r, 0 = k + 3*r - 3541221. Round k to the nearest one hundred thousand.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -712*z - 2794. Determine w(-4).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c - 6. Let m(i) = -i. Calculate -5*m(r) + o(r).\nAnswer: 4*r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 v when four letters picked without replacement from vaavaaavav.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, b: 14}. Give prob of sequence blll.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2696, 2714, 2758, 2840, 2972, 3166?\nAnswer: 3434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3\/5, -3, -2.64, 0.1.\nAnswer: -3, -2.64, -3\/5, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 2 + 2)*(s**2 + 6*s**2 + 620*s**3 - 632*s**3).\nAnswer: 24*s**4 - 14*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -1)\/((-1)\/287). Let v = -4881\/17 + d. Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.38 in 0.05, 2\/5, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 73553 to the power of 1\/2, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1624 divided by 1624\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1097306402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -5*w + 49, -4*w - 542*v = -540*v - 32. Solve w*j = -39 + 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -17*o**2 - 4. Let z(t) = -10*t**2. Calculate z(x(f)).\nAnswer: -2890*f**4 - 1360*f**2 - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 55*d - 524 = 53*d, -545 = -5*v + 5*d. Solve v*h - 52 = 54*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 2 + 20 = 0. Let l be 56\/12 - 4\/g. Suppose 5*y = l*a - 8*a + 3, 5*a = 3*y + 13. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 34*f. Let m(g) = -9*g**2. Calculate m(w(d)).\nAnswer: -10404*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33692540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 515 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**2 - 14004*a - 1401204 = 0. Calculate a.\nAnswer: -98, 4766","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4223 divided by 1.\nAnswer: 4223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -4\/7, 0.3, -5, -4, 0.809?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -9*l - 189. Give d(-53).\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -18.966. What is p rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -18*p + 128. What is j(10)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-5\/4))\/w)**(-10\/11))**20 assuming w is positive.\nAnswer: w**(-250\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 2, b: 1, h: 1}. Give prob of picking 2 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, m: 2, d: 1, q: 1}. Give prob of sequence qdd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 545 - 328. Let a = n + -56. Let t = -160.9877 + a. Round t to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 23*p**2 + 24*p - 31. Let s be l(22). Solve f = s*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 0, -3*p - 4*s + 176 = -70. Let t = p - 14. Calculate the remainder when t is divided by 4\/(1\/(-6)*-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/60 and -121\/910.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 564 divide 905307956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4412*a - 7811*a + 9523*a in the form z + u*a and give u.\nAnswer: 6124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, n: 2}. What is prob of picking 1 n and 1 v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 21*g**2 + g - 30. Let d be i(-21). Let u = d + 56. Let l = 0.1 + 0. Which is the nearest to l? (a) -0.4 (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5.2, 2, 0, -0.6, -5\/6, -4?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2.8, -2892 in descending order.\nAnswer: 5, -2.8, -2892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-370)\/60 - (-1)\/6. Let w be (1 - 3)*15\/m. Let b = w - 8. Let a(p) = p + 7. Give a(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccbbccbbcc. What is prob of picking 2 b?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooi when four letters picked without replacement from {i: 4, o: 16}.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126630 and 336.\nAnswer: 1013040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -39542 and 5.\nAnswer: -197710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13614829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uucecccuegecc. What is prob of sequence uege?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -99\/728 + -1\/56. Is -1 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*v - 108 = 0, 5*m - 82 - 92 = 2*v. Suppose 0 = 11*p - m - 21. Find l such that 7\/3*l**2 + 3 - 1\/3*l**3 - p*l = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.89286 + -0.2887. Let u = 3.61 - d. Round u to 4 dps.\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/3))**(-34)\/((h\/(h*h**(2\/11)))\/h**(2\/11)) assuming h is positive.\nAnswer: h**(386\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 1:00 PM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 240? (a) -6\/5 (b) -6 (c) 16 (d) -93\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4*s + 12. What is m(-10)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 404*s + 406*s - 1605*s + 398*s + 399*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d + 10. Let u(k) = -k + 8. Let j be u(9). Let c = j - -9. Let h be x(c). Solve v - h = 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r. Let v(b) = -b + 0*b - 6*b + b. What is u(v(s))?\nAnswer: -30*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -296 - -295.96. Let z(i) = i**2 - i - 2. Let h be z(0). Let n = h + 0. Sort l, -4, n in descending order.\nAnswer: l, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 63 and -1557.27.\nAnswer: -98108.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225*p = -1003*p + 11670 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3653 + 353?\nAnswer: 4336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 375100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 50223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from wkwwwwk?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*(-2)\/(-6)*0. Solve -2*i + 5*i + 3 = u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1904?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2066490 rounded to the nearest ten thousand?\nAnswer: -2070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -309.9437 + -0.0563. Let j = h + 309.4. Which is the nearest to -6? (a) -0.4 (b) -5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/47 and 16\/9?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**2 + 397352*a + 9868038244 = 0 for a.\nAnswer: -49669","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8 from -881415582464.7.\nAnswer: -881415582456.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 5*g**2 + 8*g + 15. Let v be i(-7). Let l(t) = 11*t - 17*t + v*t**2 + 3*t + 10. Let n be l(9). What is n rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 2\/9, -4, 20\/3 in descending order.\nAnswer: 9, 20\/3, 2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 equal to 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (-9 - -15) - 18) + -11\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b - 9*b**2 - 92*b**2 - 30*b**2 + 35 - 2*b wrt b.\nAnswer: -262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -1. Let b = -17 - -11. Let p(r) = 8*r - 4. Let d(t) be the third derivative of 7*t**4\/24 - t**3\/2 - t**2. Calculate b*d(x) + q*p(x).\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 11 = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/7 - 100\/(-7). Let b be (-64)\/112 + (-56)\/49*-74. Calculate the highest common divisor of b and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/63*-18*(-2)\/(-4)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or 1098924855?\nAnswer: 1098924855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -215 + 122 = 41*s - 257 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.7 + 2.3. What is the biggest value in -2, i, -3\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.191107 rounded to two decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 b when three letters picked without replacement from {n: 6, b: 4, h: 3, a: 3, e: 2}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006281471 to seven decimal places.\nAnswer: -0.0000628","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -7*r**4\/4 + 31*r**3\/6 + 17*r**2. Let m be n(-10). Suppose -2*t = 2*j + 878, -2*j = -t - 0*j - m. Round t to the nearest ten.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 18484085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*sqrt(66)\/sqrt(2))\/((sqrt(11) + sqrt(22)\/sqrt(2))*-5))**2.\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 30 - 75 = 0. Sort 1, s, 9, 4.\nAnswer: s, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 99863 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*a, -5*a + 4 = -p + 17. Let k(z) = -z**2 + 17*z + 15. Let s be k(p). Calculate the smallest common multiple of 10 and s\/(-12) + 27\/4.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -2*t**3\/21 + 12*t**2\/7 - 72*t\/7 + 7. Let b(q) = 0. Calculate q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/14)*w*w**0)\/((w*w**(-8)*w)\/(w\/w**(-1\/29))))**(4\/5) assuming w is positive.\nAnswer: w**(6466\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 68\/180 - (-9)\/(-15). Let m = 2.15 - 1.75. Let i = 0.8 - 0.9. Put i, m, s, -2\/7 in increasing order.\nAnswer: -2\/7, s, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13130.4139 rounded to the nearest 100?\nAnswer: 13100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -109 - -112. Suppose -l*u = u - 2*u. Let i = 838 - 29332\/35. Which is bigger: u or i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2664 and 57676488?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/12 and 131\/12388480?\nAnswer: 37165440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07 + -1.26. Let b = -0.05 - -1.05. Let d = b + y. Round d to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 449 - 457. Let o = -7 + 4. Let k = o - p. Put k, 3, -4 in descending order.\nAnswer: k, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -5*g + 4*g. Suppose -h - g*h + 60 = 0. Suppose -t + h = 4*t. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 1:16 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -2*p + 6, -4*z - 5*p = 3 - 9 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + (sqrt(567) + -1)**2 + -1 + 2) + 3.\nAnswer: -36*sqrt(7) + 1141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, 1030\/17, -0.43?\nAnswer: 1030\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 22*j + 3. Let m(y) = -305. Let a(i) = -38. Let n(t) = -8*a(t) + m(t). What is -3*n(z) - q(z)?\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4*3\/12 - 1) + 0. Sort -1, j, 1, 4.\nAnswer: -1, j, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47 - 17. Let b = 54 - w. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 245 + -226. Let l(s) be the third derivative of -11*s**4\/12 + 4*s**3\/3 - s**2. Calculate the remainder when l(-3) is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - (-21)\/2)*12. Calculate the common denominator of 22\/115 and (-2545)\/(-385) - (-2)\/r*-6.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/37 (b) 2\/27 (c) -48 (d) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -730482.\nAnswer: 146096.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9 - (0 + (-18)\/(-6)). Solve -2*b + 15 = 3*i - q, 3*b + 1 = 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 904348?\nAnswer: 2, 226087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 3\/5, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 59378512*n - 186067447?\nAnswer: 59378512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 331998193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 344*g - 27300. Determine j(77).\nAnswer: -812","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 15 = -5*w + 171, 2*w - 45 = -j. Let t = j - 15. What is the remainder when t is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (10 - 7) + -5 + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-6)*(-12)\/(-2). Let r be (0 + n)*(-3)\/(-2). Suppose 2*v = -r + 15. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 22 = 4*s - 2*s, 5*s - 9 = m. Let h(l) = 14*l**2 - 2*l + 1. Give h(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 90425109.9 to the nearest one thousand.\nAnswer: 90425000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - p = -5*p - 16, 5*p = 3*s - 20. Suppose s = 37*c - 28*c - 3654. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (6 - 21))\/(-26 - (-6349)\/245).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 69 - (875 + -838).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 + 66. Let o = -21 + h. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 19*w**2 + 3*w. Let g(u) = 3*u**2. Give q(g(f)).\nAnswer: 171*f**4 + 9*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 10) to base 3\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 11) to base 10\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 125506 + -52?\nAnswer: 125434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p - 6*p + 9*p - 2*p**2.\nAnswer: -2*p*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 403 + -17.532093.\nAnswer: 385.467907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-8)*(-6)\/(-14).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.4 rounded to 0 decimal places?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 100 - 105. Let z be 1*(928 - (-5)\/r). Let c(g) = -927 + 16*g + z. Let h(o) = -o**2. What is c(h(i))?\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 51, 262, 821, 1902, 3679?\n\"Answer: 29*d**3 + 8*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5760.235732 rounded to the nearest ten?\nAnswer: -5760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3449598157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 439*j + 2177*j - 477*j.\nAnswer: 2139*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 315 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 6:25 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/(-104))\/(((-54)\/4)\/9).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 3*g**2 + 0*g**2)*(113 + 2*g**2 - 113 + 7*g).\nAnswer: 8*g**4 + 28*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*l + 108, 6*u - 500 = u - 2*l. Suppose -17*s = s - 504. What is the lowest common multiple of s and u?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -19. Let m(i) = -17*i - 11. Let s(u) = -8*u - 5. Let p(j) = q*s(j) - 6*m(j). Find the first derivative of p(d) wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -570 - -566. Let h = -0.1 - -0.1. Which is the nearest to 2? (a) x (b) h (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 = -7. Let m be -1*(-10)\/x + -75. Let i = -42 - m. Calculate the remainder when 136 is divided by i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/36 and 29\/9708.\nAnswer: 29124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 43 - 41 = 0. Let y be -1 - (3 - (-16)\/(-2)). Calculate the remainder when f is divided by y + (-36)\/(-4) + -2.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/5 - 19372*d**2\/5 - 19374*d\/5.\nAnswer: 2*d*(d - 9687)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - ((sqrt(2) - -2*sqrt(2)) + sqrt(2))*4)*3.\nAnswer: -45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 7*g. Suppose -13*s + 10*s = g. Determine m, given that 4\/11*m**3 - 4\/11*m - 14\/11*m**4 + s + 14\/11*m**2 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 56782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p - 252. Let t(j) = -j - 253. Let k(l) = -3*d(l) + 4*t(l). Differentiate k(s) with respect to s.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-3 + -5 + 16 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39763977 is divided by 10001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13695 - 13640. Which is the closest to v? (a) -1 (b) -0.5 (c) -0.8 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bwbw when four letters picked without replacement from {b: 3, w: 3, g: 5}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/23776 or 1?\nAnswer: 1\/23776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4480 and 9600.\nAnswer: 67200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1362623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -2*c**3\/3 - 10*c - 26. Let v(j) = j**2 + 1. Let t(f) = -6*v(f) - x(f). Determine d, given that t(d) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 609*z - 604*z - 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 1106 = -2876. Suppose x + l - 21 = 0. Round x to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/5 (b) 6\/13 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7*(-6)\/(-3)*(-8)\/(72\/(-9))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 11*b + 15*b + 3*b + 19. Let j(y) = 59*y + 39. Let d(z) = 5*c(z) - 2*j(z). Find the first derivative of d(s) wrt s.\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.045895482 to 4 dps.\nAnswer: -0.0459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 o, and 1 t when four letters picked without replacement from {t: 5, o: 1, e: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12.8 and -3.891243.\nAnswer: 8.908757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 254 is divided by (-182)\/(-84)*6*4.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 40.5 (c) 19\/6 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 60 - 41. Let h = -18.95 + u. What is h rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-288)\/(-78)))\/(-4*4\/(-64))?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4197947*w - 4197937*w + 365 + 45 = 0 for w.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -158 - -159. Let h = -2 + 3. Is 105 + a + (-2 - h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*k = 146*k - 126. Calculate the highest common factor of k and 333.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 2812.09.\nAnswer: 562.418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*v - 101814 = -38*v. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 728*a - 334*a - 20936671 = 345*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90 - -93. Suppose -a + 2*z = -242, 4*a + 0*a + y*z - 979 = 0. What are the prime factors of a?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/3481 or -1\/3?\nAnswer: 3\/3481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4481, 8960, 13439, 17918?\nAnswer: 22397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(180) + -2*sqrt(180))*-6 - (sqrt(180) - (-4*(sqrt(180) + 0) - sqrt(180))) - (sqrt(180) - sqrt(180)*2)*1*5)*-5)**2.\nAnswer: 4050000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.3972 and -3391427?\nAnswer: 3391423.6028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 66 = 19*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07475758 to 4 dps.\nAnswer: 0.0748","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5679*y**4 - 2*y**2 + 1631*y wrt y.\nAnswer: -136296*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629956689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -327652 - 2?\nAnswer: -327654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 8*x**2 - x + 2. Let q = -25 - -23. Is p(q) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1, 4, 11, 20, 31, 44, 59?\n\"Answer: g**2 + 2*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5270, 10509, 15676, 20729, 25626, 30325?\nAnswer: 34784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40 + -33. Suppose 10 = -g*f + 8*f. What is the greatest common factor of 4 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -414, 4, -1106, -165 in increasing order.\nAnswer: -1106, -414, -165, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 10*j**2 + 56*j + 3. Let o be p(-14). Suppose -3*h = -5*h + o*h. Solve -2*x - 6 - 4 = h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 9*p**5\/4 - 353*p**4\/4 - 5811*p**3\/2 - 16927*p**2 + 3906*p = 0.\nAnswer: -14, -9, 0, 2\/9, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 691 is divided by 445?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 + -26. Suppose -x = -b + 2*x + 16, u = 5*b + 5*x. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 13*n**2 + n. Let w be 4\/6 - 1\/(-3). What is the units digit of v(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 500a?\nAnswer: -5008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -815 + 748. Let u = -1 - 0. Let l = u - j. Calculate the least common multiple of 14 and l.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79724243\/851 - 93683. Let m = z + -9961\/51060. What is the common denominator of 1\/40 and m?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -772, -617, -358, 5, 472, 1043, 1718?\nAnswer: 2497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/5 - 32284008*q\/5 - 130282146568008\/5.\nAnswer: -2*(q + 8071002)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**6\/8 + t**4\/12 + 6*t**2. Let a(p) = 30*p**3 - 3*p. Let g(h) = -4*a(h) - 7*r(h). Find the second derivative of g(i) wrt i.\nAnswer: -90*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28352 by 8.\nAnswer: 3544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -f + 35, -5*f + 1249*d - 1254*d = -55 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 6:57 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 35 = -10*u. Solve n + 2 = u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 - 11*c**2 + c + 16. What is k(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13.4 or -877?\nAnswer: -877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 13 = -q, 3*q = -l + 2 + 2. Suppose -2 = -4*w - 6, q*w = -m + 136. What are the prime factors of m?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 5:24 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 11:23 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 10. Let x = 184\/385 - 6\/77. Let c = -65 + 65.04. What is the second biggest value in x, c, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 + 25 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 703890 by 158.\nAnswer: 4455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61616949 by 20538983.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 519884.8605 rounded to the nearest ten?\nAnswer: 519880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*168\/60*(-2)\/2*-5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 110100212220 (base 3) to base 15\nAnswer: 4c1bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.1 (c) -23066 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 6:48 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11238 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = m + 29, -t - 3*m - 24 = -7*m. Let d be 1 - (0\/(-2) + t). Calculate the highest common factor of d and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 + 29*d**2 + 10*d - 19. Calculate s(-14).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -1.07, -0.029 in ascending order.\nAnswer: -1.07, -0.029, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 10*q - 11. Let l be t(-8). Let j = -4 + l. Let i(y) = 4*y**3 - y. Let x be i(j). What is the third smallest value in x, -1\/2, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 0.059\nAnswer: -0.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 (base 14) in base 12?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.7*-0.114.\nAnswer: -0.6498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 440?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4 - 4. Suppose 0 = -3*z - 0*z + 9. Solve z*k + y + 1 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1608, 3215, 4822?\nAnswer: 6429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05548304 rounded to five decimal places?\nAnswer: -0.05548","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/9, 0.2, -28, -38\/7, 3.\nAnswer: -28, -38\/7, -1\/9, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1545419786?\nAnswer: 2, 101, 7650593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3582075193 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**4*z + 2021*a**4 - 2*a*z - 1251*a wrt a?\nAnswer: -12*a**2*z + 24252*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1021 divide 101600644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-580)\/(-87)*18\/(-4)*1. Let o = 29 + p. Let k(r) = -r - 1. Let z(q) = q - 1. Calculate o*k(l) + z(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - c**2 - 2*c + 3. Let y be d(2). Let r(u) = -3*u**2 + 5*u + 2. Let w be r(2). Suppose 3*z - y + w = 0. Solve z + 0 = -p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12547, -50111, -112719, -200371?\nAnswer: -313067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23*d**2*y**2 + 62*d**2*y - 298351*d**2 - 27*d*y**2 wrt y?\nAnswer: -46*d**2*y + 62*d**2 - 54*d*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-273 - -282) + (-6 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/6*174\/228984*282.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26638 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 3\/((-6)\/82). Let x be (-72)\/o*(-98)\/4. Suppose 0 = l - 5*r - x, 3*r + 0*r + 90 = 3*l. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50124050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -975*r + 11686. What is q(12)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*u = -6 + 70. Suppose 4*y - 2*n - n - 4018 = 0, u*y - 4014 = n. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-215)\/(-340) + (3\/16)\/((-31)\/124).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09967 rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-192)\/36 - 10)\/(-1 + -1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -31\/2*r**2 + 0 + 0*r**3 + 21*r - 13\/6*r**4. Find the first derivative of q(w) wrt w.\nAnswer: -52*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 2*b + 0*b + (8 - 30 - 16)*(3*b - 4*b - b))*(-b + 0*b + 2*b).\nAnswer: 74*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**0\/g*g\/(g**(-1)*g*g))\/((g\/(g\/g**1))\/g)**(-3\/11))**30 assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j + 20. Calculate the remainder when m(4) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10430701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, y: 1, o: 1, i: 1, z: 1}. What is prob of sequence yi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2061 (base 7) to base 8\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 1:10 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -51 in descending order.\nAnswer: 1, -1, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -97347*o + 97351*o + 8, -o = -x + 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 17292 (b) 11 (c) -0.2 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -5, -2, 166, 33 in decreasing order.\nAnswer: 166, 33, 1\/4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 156102 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102233 (base 5) to base 4.\nAnswer: 311303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f - 3*f + 154 - 163*f**3 - 389*f**3 - 184.\nAnswer: -552*f**3 - 3*f - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 4, 3*g + 4*u = 424 - 144. Calculate the least common multiple of 20 and g.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q*q**(-8))\/q)\/q)\/((q*((q\/q**(-5\/8))\/q)\/q)\/q*q)*(q**33*q)\/(q\/q**15) assuming q is positive.\nAnswer: q**(315\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, -1\/6 in increasing order.\nAnswer: -1, -1\/6, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 10*i + 4. Let d be l(9). What is the closest to 1 in 0.2, -0.8, d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.6 and -5.41.\nAnswer: -4.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 13, n: 5}. Give prob of picking 2 n and 2 f.\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*j + x - 4, 4*j - 3*x = 0. Let z = 2 + j. Suppose z*c = 7 + 43. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.02 and 302.07023.\nAnswer: 302.05023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**3\/9 + 442*u**2\/3 + 4983*u = 0.\nAnswer: -33, 0, 1359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/8*20\/5)\/((33884\/(-197))\/688).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -6*c**2 - 28*c - 21. Determine r(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 5*b - 7. Determine u(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10020 - 1200?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.894298 minutes to days.\nAnswer: 0.0603432625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 1. Suppose 5*o + 17*m - 20*m + 6 = 0, 2*o = -4*m - 18. Let j(n) = -12*n**2 - 4. Calculate o*j(h) - 12*g(h).\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13295 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 11*i - 702. Suppose -i*s + 2335 = -73*s. Is s 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 8285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**5\/40 + 61*a**4\/16 - 255*a**3\/2 - 9*a**2 + 27. Factor q(f).\nAnswer: -3*(f - 51)*(f - 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11312163 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3213 divided by -27.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14164*l + 28269*l = 14144*l - 819 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1076 divided by 1076?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -2, 15261 in increasing order.\nAnswer: -2, 1, 3, 15261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhx when three letters picked without replacement from xxwhzgxhwxzn.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(6*(-1 + sqrt(98) + sqrt(98) + sqrt(98)) + sqrt(98)) - 1*((-2*sqrt(98) - sqrt(98)) + 3))*-1)**2.\nAnswer: -29862*sqrt(2) + 612347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i - i**3 - 2 - 5*i + 5*i**2 + 4*i. Let h be o(4). Find the third derivative of t**2 - 3*t**2 + 0*t**4 + t**4 + 5*t**h wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**6\/900 + 17*y**5\/450 + 11*y**4\/36 + 13*y**3\/15 + 16*y**2 - 11. Factor x(k).\nAnswer: 2*(k + 1)*(k + 3)*(k + 13)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-3) - ((-21840)\/429)\/(-56)*22\/8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -240 (base 8) to base 2.\nAnswer: -10100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - 3\/(-2 - 1). Suppose 0 = -3*s - w - 2 + 3, 3*w - 8 = -m*s. Which is smaller: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 402 (b) 4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-1 + -4) + 0\/8. Factor 16 + 31*y + 29*y - 6*y**2 - p*y**2.\nAnswer: -4*(y - 4)*(4*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 4037 + 1563. What is w rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 23 = 2*w, w - 6 = -2*u + 11. Calculate the remainder when 74 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 980 - 971. Let v(u) = 16 + u**2 - 2*u - 2*u + 2*u**2. Is v(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-9)*(-33)\/77)\/((-138)\/1288).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -1\/150*q**5 - 64\/15*q**3 - 9*q**2 + 0*q + 4\/15*q**4 + 0. Factor j(r).\nAnswer: -2*(r - 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a day in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52267765 to the nearest integer?\nAnswer: 7230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 431567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 9 - (13 + (-21)\/(-4) + (-402)\/402).\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25798 rounded to two decimal places?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 16*i**2 - 6*i - 6. Let z be r(5). Let k = 578 - z. Does 27 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -352 - -370. Solve 4*p = -g + 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g + 0 - 1 - 3*g)*(2*g - 6*g - 2*g)*(6 - 2 + 1).\nAnswer: -30*g**2 + 30*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71574 and 195288.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 445141 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 1:08 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -845233, -845231, -845239, -845263, -845309?\n\"Answer: -b**3 + b**2 + 6*b - 845239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -155, -2, 8, 12, 3 in ascending order.\nAnswer: -155, -2, 3, 8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 4. Let m = 7.7 - d. Let q = -0.5 - m. Which is the second smallest value? (a) -0.5 (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 190090, 380212, 570368, 760558, 950782, 1141040?\n\"Answer: 17*u**2 + 190071*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -754 + 1167. Let o = 60 - t. Let b = o - -607. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(16\/(-430)))\/(29\/(-116)). What is the derivative of 71 + 39*k + q - 172 wrt k?\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -223145415*d**2 - 5362*d - 12820 wrt d?\nAnswer: -446290830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 217102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-400)\/24 + -3)\/(4 - (1500\/72 + -17)).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 10:32 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*b + 6*b + 162*b as g*b + z and give g.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 278003*u**2 + 48*u - 93. Is n(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 471, 598, 383, -174?\nAnswer: -1073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/21016795 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 8 = -4*q, 3*q + 9 - 3 = 0. Let n = v + 29. Let b = n + 1. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2868898, -5737798, -8606698, -11475598?\nAnswer: -14344498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**4\/8 - m**2. Let p = 20 - 20. Let v(h) = p*h**2 + h**2 + h**2 - 4*h**2. Give n(v(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -191, -2 in ascending order.\nAnswer: -191, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + o**2 - 2 + (1 + o - 1)*(-2*o + 3*o - 3*o) + 2*o**2 - 2*o**2 - o**2 - o + o - 3*o**2 + 68*o**2 - 93 + 103 - 64*o**2.\nAnswer: -o**2 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**8\/224 - m**7\/63 + m**6\/180 + m**5\/20 - 13*m**4\/144 + m**3\/18 + 2*m**2 + 95. Factor s(h).\nAnswer: (h - 1)**3*(h + 1)*(9*h - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*(4 + -1*sqrt(325))*3*-4)**2*-3*6.\nAnswer: -7954848 + 933120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -132 + 139 - (107 + 9)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 + 3*d**4 - 2*d**4 + (2*d**3 + 0*d**3 + 0*d**3)*((0 - 4*d + 0)*(-2 + 2 - 2) + 5*d - 2*d - d).\nAnswer: 19*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7770505 and 9?\nAnswer: 69934545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32.2 - 35. Let i = -8 + 5. Let h = w - i. Round h to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3747843?\nAnswer: 3, 11, 12619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 384120754.9 and 1710?\nAnswer: 384119044.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490 is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 4*q - q)*(-3*q**2 - 2*q**2 + 4*q**2) - q**3 - 3*q**2 + 3*q**2 + (-127205 + 235035 - 117826)*(2*q - 2*q - q**3).\nAnswer: 9993*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*l + 41*l + 10792 = 0. What is the greatest common factor of 639 and l?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 + 5*n - 5. Let o(z) = -9*z**2 + 45*z - 5. Let h be o(5). Give j(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -134909 >= -134864?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122559572, 245119138, 367678704, 490238270?\nAnswer: 612797836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -16*x. Let d(q) = -1063357*q**2. Give d(y(u)).\nAnswer: -272219392*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.95 - -0.05. Let w = -64 + 60. Let i = -1857\/11 - -169. What is the second smallest value in t, w, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 1055*y**2 - 957*y + 6. Let z(u) = 1. Let q(h) = -w(h) + 6*z(h). Find the second derivative of q(b) wrt b.\nAnswer: -2110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9*f**3 + 19*f**2 - 10*f + 21. What is the tens digit of s(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95999.083 rounded to the nearest one hundred?\nAnswer: -96000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhuhhuuhhuuuu. Give prob of picking 2 u and 1 h.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 3*j**3 + 114*j**2 - 2037*j + 7644 = 0?\nAnswer: -52, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 31400313 (base 5) to base 8\nAnswer: 1000667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e - 25?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.177 to 2 decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 2*t + 59. Determine y(9).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20112130 - 201?\nAnswer: -20112331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 624964 + 9910\nAnswer: 634874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6*x + 13. Let o be (-6)\/(3\/(-6) - -1). Is 15 a factor of y(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -262? (a) 1\/2 (b) 1\/3 (c) 0.1331 (d) -1\/2 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 5*k - 13, -3*y + 5*k - 26 = 8. Suppose 3*x + d = 4, x - d - 12 = 4*d. Let i(t) = -3 + 6 - 3 + 2*t + t**x. Calculate i(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6*l - 36. Let n be b(-6). Solve n = 2*a + a - 12 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4.6583, -0.4, -5, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**2 + 13*a + 30 = 0.\nAnswer: -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2448 + 2442. Let a(n) = -2*n**3 + 6*n + 6. Let k(x) be the third derivative of x**6\/24 - 13*x**4\/24 - 13*x**3\/6 + x**2. What is l*k(b) - 13*a(b)?\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 994 and 38822.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3499126 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 420 and 2430?\nAnswer: 34020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -9549\/84979?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40 and 2430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i\/i**(-5))*i)\/i)\/i)\/(i\/(i*i**(3\/13)))*(i**(-2)\/i)**21 assuming i is positive.\nAnswer: i**(-881\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 1188.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + 2*f + 4. Let z be j(-3). Let i(x) = -3*x**2 + 9*x + 2*x**2 + 4 - 3 - 4. List the prime factors of i(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 82\/9 - 155\/18. Let p(b) be the first derivative of 0*b - 7 + 0*b**5 - a*b**4 + 1\/3*b**6 + 0*b**3 + 0*b**2. Factor p(n).\nAnswer: 2*n**3*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 46876, 186592, 419454, 745462, 1164616, 1676916?\n\"Answer: 46573*z**2 - 3*z + 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o. Let z(r) = -354160*r. Determine z(n(j)).\nAnswer: -1416640*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -543 (base 14) in base 16?\nAnswer: -40f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3\/7 - 30*f**2\/7 + 44*f\/7 + 30\/7.\nAnswer: 2*(f - 5)*(f - 3)*(2*f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24597955 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 1 - 5 + 28*n - 30*n. Let w(g) = -3*g - 9. Calculate 9*t(h) - 4*w(h).\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/37 or -3?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -23. Suppose 30 = z*m + m. Suppose -7*j + m = -589. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/3594 and 77\/7188?\nAnswer: 7188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*q = -40*q + 8. Let m(g) = -2*g - 5. Calculate m(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/(-35))\/((-94)\/940) + 2\/7. What is the biggest value in 24, 2, 3, 0.1, q?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10 - (15\/5 + -5). Let l(j) = j**2 + 6*j + 17. Let a be l(-2). Let -3\/2 + h*z**3 + a*z + 45\/2*z**2 = 0. What is z?\nAnswer: -1, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -217253400 rounded to the nearest 100000?\nAnswer: -217300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 34686 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22710263 or -22710267?\nAnswer: -22710263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 322 - 100. Let p = g - 15. Is p a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*p + 4*n + n, -3*p = 2*n + 2. Suppose 20 = p*f + 2. Suppose 4*s = -20, -4*o - 3*s + 5*s + 42 = 0. What is the least common multiple of o and f?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104079000 rounded to the nearest one hundred thousand?\nAnswer: 104100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-10)\/30)\/((-2)\/1596) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1016.6 - 1016.67. What is the closest to 0 in 3, -3\/4, o, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/4)\/(36\/(-16)). What is the closest to 0.1 in 2, w, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 21. Let s = p + 21. Suppose -5*a = 5, -2*q = 4*a - s + 2. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2863 + 632?\nAnswer: 3095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 394 - 395. What is the closest to j in -1\/7, -2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 639.7266 decades to months.\nAnswer: 76767.192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -519 + 744. Let t(k) = -21*k - 1. Calculate the remainder when t(-1) is divided by g\/20 - (-2)\/(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(1\/4 + 0). Suppose -5*g = 3*w - 118, 2*g - 114 - 34 = -m*w. Suppose -2*l + w = 8. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17aa - -259?\nAnswer: -1551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9362405?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/6 + (2 - 2). Let s be (-2 + (-250)\/30 + 9)\/((-6)\/(-9)). What is the closest to -0.1 in -37, t, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of d**5\/30 - d**3\/2 - d**2\/2 - 3. Let t(a) be the second derivative of r(a). Differentiate t(u) with respect to u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 6 = -x. Suppose 0 = x*u - 1 + 33. Let s = -13 - u. Solve 0 = -s*h - h + 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106 and 265.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29.4 in -9, -0.1, -2\/13, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 100961, 100968, 100989, 101030, 101097?\n\"Answer: y**3 + y**2 - 3*y + 100962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2178, -17508, -59128, -140184, -273822?\n\"Answer: -2191*f**3 + f**2 + 4*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*h - 7*h + 2673 = 1525 for h.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z - 5 - 5*z**3 - 8*z - z**3 + 7*z**3 + 4*z**2. Let d be q(-5). Let k be (d\/4)\/(-1 + 0). Solve 5 = 6*c - c - 3*v, k = -4*v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2913 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - a**2 + 3 + (a - a + 2*a)*(2 - 2 + 2*a))*(-5 + 8 + 24) as i + l*a**2 + q*a and give l.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**4 - 10*w**3 + 25*w**2 + 30*w = 0.\nAnswer: -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 12:50 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86728331 is divided by 6453?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + -3. Let i(q) = -5*q - 1. Let p be i(f). Let s = -12 + p. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (2 - -1)) + 2 - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 3*p + 4*t, 2*p + t = -13. Is (-2)\/p*(-48)\/(-2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kiu when three letters picked without replacement from {m: 1, k: 3, i: 1, u: 7, v: 7}.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 158, 162, 154, 128, 78?\n\"Answer: -j**3 + 11*j + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -12*1*3\/(-6). Calculate the greatest common factor of 3 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}